enVision Math Common Core Kindergarten Answer Key Topic 11 Count Numbers to 100

Go through the enVision Math Common Core Kindergarten Answer Key Topic 11 Count Numbers to 100 regularly and improve your accuracy in solving questions.

enVision Math Common Core Kindergarten Answers Key Topic 11 Count Numbers to 100

Essential Question
How can numbers to 100 be counted using a hundred chart?
Envision Math Common Core Grade K Answer Key Topic 11 Count Numbers to 100 1

enVision’STEM Project: Ant Colonies
Directions Read the character speech bubbles to students. Find Out! Have students find out how ants live and work together in colonies. Say: Talk to friends and relatives about ant colonies. Ask about the different jobs ants in a colony might have that help them survive. Journal: Make a Poster Have students make a poster. Have them draw an ant colony with 5 groups of ants. There should be 10 ants in each group. Then have them count by tens to find how many ants there are in all. Hove students use a hundred chart to practice counting by tens to 50.

Review what You Know

Question 1.
Envision Math Common Core Grade K Answer Key Topic 11 Count Numbers to 100 1.1
Answer:

Explanation:
I drew a circle around the number ninteen.

Question 2.
Envision Math Common Core Grade K Answer Key Topic 11 Count Numbers to 100 1.2
Answer:

Explanation:
I circled 10+6 as 10+6=16
I drew a circle around the addition expression that makes 16.

Question 3.
Envision Math Common Core Grade K Answer Key Topic 11 Count Numbers to 100 1.3
Answer:

Explanation:
I circled 10+8 as 10+8=18
I drew a circle around the addition expression that makes 18.

Count Numbers to 100 1

Question 4.
Envision Math Common Core Grade K Answer Key Topic 11 Count Numbers to 100 1.4
Answer:

Explanation:
There are 7 objects in the first set and 6 objects in the second set.So, the wrote the numbers 7, 6 in the blanks and i circled 7 as it is greater than 6.

Question 5.
Envision Math Common Core Grade K Answer Key Topic 11 Count Numbers to 100 1.5
Answer:

Explanation:
There are 5 objects in the first set and 8 objects in the second set.So, the wrote the numbers 5, 8 in the blanks and i circled  as it is greater than 5.

Question 6.
Envision Math Common Core Grade K Answer Key Topic 11 Count Numbers to 100 1.6
Answer:

Explanation:
There are 4 objects in the first set and 10 objects in the second set.So, the wrote the numbers 4, 10 in the blanks and i circled 10 as it is greater than 4.

Directions Have students: 1 draw a circle around the number nineteen; 2 draw a circle around the addition expression that makes 16; 3 draw a circle around the addition expression that makes 18; 4-6 count each set of objects, write the numbers to tell how many, and then draw a circle around the number that is greater than the other number.

Pick a project

A
Envision Math Common Core Grade K Answer Key Topic 11 Count Numbers to 100 1.7

B
Envision Math Common Core Grade K Answer Key Topic 11 Count Numbers to 100 1.8

C
Envision Math Common Core Grade K Answer Key Topic 11 Count Numbers to 100 1.9

Directions Say: You will choose one of these projects. Look at picture A. Think about this question. What if you had more than two legs? If you choose Project A, you will make o model of a centipede. Look at picture B. Think about this question: Is there any math in dancing? If you choose Project B, you wilt create a numbers dance. Look at picture C. Think about this question: Where can you find a moonstone? If you choose Project C, you wilt collect and count treasures.

3-ACT MATH PREVIEW

Math Modeling

Stack Up

Envision Math Common Core Grade K Answer Key Topic 11 Count Numbers to 100 1.10

Directions Read the robot’s speech bubble to students. Generate Interest Ask students about their experience stacking blocks. Say: What’s the tallest block tower you have built? How many blocks was it? Give students a chance to practice building block towers and observe how many blocks tall they are.

Lesson 11.1 Count Using Patterns to 30

Envision Math Common Core Grade K Answer Key Topic 11 Count Numbers to 100 2.1
Directions Say: Count forward from 1 to 30. Count aloud and point to each number as you say it. What patterns do you see or hear when you count to 30 using the numbers on the chart? Color the boxes that show a pattern you find

Visual Learning Bridge

Envision Math Common Core Grade K Answer Key Topic 11 Count Numbers to 100 2.2

Guided Practice

Envision Math Common Core Grade K Answer Key Topic 11 Count Numbers to 100 2.3
Answer:

Explanation:
I counted forward from 1 to 10, circled the number in the top row and the part of the number in the bottom row that sound alike: twenty-ONE‘ twenty-TWO, twenty-THREE, twenty-FOUR twenty-FIVE, twenty-SIX.

Count Numbers to 100 2

Directions Have students: 1 count forward from 1 to 10. Count aloud and point to each number as it is said. Have them listen to the following numbers in the bottom row, and then draw a circle around the number in the top row and the part of the number in the bottom row that sound alike: twenty-ONE‘ twenty-TWO, twenty-THREE, twenty-FOUR twenty-FIVE, twenty-SIX. 2 listen to the pattern, and then use crayons to color the numbers that they hear: 16, 17, 18, 19.

Envision Math Common Core Grade K Answer Key Topic 11 Count Numbers to 100 2.5
Answer:

Explanation:
I colored the numbers that i heard they are 16, 17, 18, 19.
I can see and hear the pattern of counting by ones.

Envision Math Common Core Grade K Answer Key Topic 11 Count Numbers to 100 2.6
Answer:

Explanation:
3) I colored the numbers that i heard they are 1, 2, 3, 4, 5.
4) I colored the numbers that i heard they are 25, 26, 27, 28.
I can see and hear the pattern of counting by ones.

Envision Math Common Core Grade K Answer Key Topic 11 Count Numbers to 100 2.7
Answer:

Explanation:
5) I colored the numbers that i heard they are 4, 14, 24.
6) I colored the numbers that i heard they are 16, 17, 18, 19.
I can see and hear the pattern of counting by ones and by tens.

Directions Have students listen to the count, color the numbers they hear, and then tell what pattern they see or hear: 3 1, 2, 3, 4, 5; 4 25, 26, 27, 28; 5 4, 14, 24; 6 16, 17, 18, 19.

Independent Practice

Envision Math Common Core Grade K Answer Key Topic 11 Count Numbers to 100 2.8
Answer:

Explanation:
7) I colored the numbers that i heard they are 7, 17, 27.
8) I colored the numbers that i heard they are 21, 22, 23, 24, 25.
I can see and hear the pattern of counting by ones and tens.

Envision Math Common Core Grade K Answer Key Topic 11 Count Numbers to 100 2.9
Answer:

Explanation:
I colored the numbers that i heard they are 13, 14, 15, 16, 17, 18 and circled the next number in the pattern that is 19.
I can see and hear the pattern of counting by ones.

Directions Have students listen to the count, color the numbers they hear, and then tell what pattern they see or hear: 7 7, 17, 27; 8 21,22, 23, 24, 25. 9 Higher Order Thinking Have students listen to the count, color the numbers they hear, and then tell what pattern they hear: 13, 14, 15, 16, 17, 18. Then have them draw a circle around the next number in the pattern.

Lesson 11.2 Count by Ones and by Tens to 50

Solve & Share

Envision Math Common Core Grade K Answer Key Topic 11 Count Numbers to 100 3.1
Directions Say : Work with a partner. Count forward from 1 to 50. One partner points to each number in the first row while the other partner counts aloud each number. Change jobs for every row. Watch students go through all 5 rows. Say: Now, one partner will cover some numbers on the board using counters. The other partner will name the hidden numbers. Play 3 times, and then color the numbers that are the hardest to remember.

Visual Learning Bridge
Envision Math Common Core Grade K Answer Key Topic 11 Count Numbers to 100 2.10

Guided Practice

Envision Math Common Core Grade K Answer Key Topic 11 Count Numbers to 100 100
Answer:

Explanation:
I counted the numbers in the middle row beginning with 31 and ending with 39, and drew a circle around the part of the number that sounds the same that is 3tens(thirty)
I read the numbers in the first column and drew a circle around the number 1(ones)  that i hear in each number.

Directions Have students: 1 count aloud the numbers in the top row and point to each number as it is said. Then have them count aloud the numbers in the middle row beginning with 31 and ending with 39, and draw a circle around the part of the number that sounds the same; 2 read the numbers in the first column. Draw a circle around the number that you hear in each number.

Envision Math Common Core Grade K Answer Key Topic 11 Count Numbers to 100 3.2
Answer:

Explanation:
3)I found green number 20 and started counting up till 30 and colored the numbers green that has twenty as part of the number.
4)I found the red number 39 and started counting up till 49 and colored the numbers red.
5)I found the yellow number 33 amd started counting up till the next red number, colored the numbers yellow.
6)I found the blue number 20 and drew a circle around the parts of the numbers in the column that are the same.
7)I used counters to cover 3 numbers on the chart they are 14, 15, 16.

Count Numbers to 100 3

Directions Have students: 3 find the green number on the chart, and then begin counting forward by ones up to 30. Say: Color green all the numbers that have “twenty” as part of the number, 4 Find the red number and begin counting forward by ones and stop when they get to 49. Say: Color red all the numbers you counted; 5 find the yellow number. Then have them count forward by ones until they get to the red number. Say: What numbers did you count? Color them yellow, 6 find the blue number. Then draw a circle around the parts of the numbers in the column that are the same; 7 use counters to cover 3 numbers on the chart. Say: Show your chart to a friend, and ask them to tell you which numbers are hiding.

Independent Practice

Envision Math Common Core Grade K Answer Key Topic 11 Count Numbers to 100 3.3
Answer:

Explanation:
8)I started counting stars around the first circle at the arrow, crossed the number 10, counted all stars around all the circles and marked the last number of stars after each circle, they are 20, 30, 40, 50.
9)I colored the number 14 and colored 14 numbe rof stars in the below.

Directions 8 Have students begin counting stars around the first circle at the arrow, and continue clockwise around the circle until they have counted all the stars. Say: When you finish counting one circle, cross off the last number you said in your count on the chart. Have students continue counting the stars around the circles, crossing off the last number they said in each circle, until they reach the end of the stars. 9 Higher Order Thinking Say: Color one number in the chart. Now count that same number of stars below. Color each star to show how many you counted.

Lesson 11.3 Count by Tens to 100

Solve & Share
Envision Math Common Core Grade K Answer Key Topic 11 Count Numbers to 100 3.5

Directions Say: Color all the boxes of the numbers that have a zero as you count them aloud. Tell how you know which numbers to count. Count forward by tens beginning at 30 and going to 100. Point to the numbers as you count them aloud to a partner. Now begin at 60. Count forward by tens to 100. Mark each number with an X as you say it to your partner.

Visual Learning Bridge

Envision Math Common Core Grade K Answer Key Topic 11 Count Numbers to 100 3.6

Guided Practice

Question 1.
Envision Math Common Core Grade K Answer Key Topic 11 Count Numbers to 100 4.1
Answer:

Explanation:
I circled 30.
I drew a circle around the decade number that comes before 40 but after 20 that is 30.

Question 2.
Envision Math Common Core Grade K Answer Key Topic 11 Count Numbers to 100 4.2
Answer:

Explanation:
I circled 70.
I circled the decade number that is missing from this pattern: 60, 80, 90, 100 that is 70.

Directions Have students: 1 draw a circle around the decade number that comes before 40 but after 20; 2 circle the decade number that is missing from this pattern: 60, 80, 90, 100.

Question 3.
Envision Math Common Core Grade K Answer Key Topic 11 Count Numbers to 100 4.3
Answer:

Explanation:
I circled 40, 60, 80, 90.
I circled the missing numbers in the following pattern: ten, twenty, thirty, ___, fifty, __ seventy, ____, ___, one hundred they are 40, 60, 80, 90.

Question 4.
Envision Math Common Core Grade K Answer Key Topic 11 Count Numbers to 100 4.4
Answer:

Explanation:
I counted by tens, there are 30 cubes in the above image.
I circled 30.

Question 5.
Envision Math Common Core Grade K Answer Key Topic 11 Count Numbers to 100 4.5
Answer:

Explanation:
I counted by tens, there are 70 cubes in the above image.
I circled 70.

Question 6.
Envision Math Common Core Grade K Answer Key Topic 11 Count Numbers to 100 4.6
Answer:

Explanation:
I counted by tens, there are 80 cubes in the above image.
I circled 80.

Directions Have students: 3 draw a circle around the missing numbers in the following pattern: ten, twenty, thirty, ___, fifty, __ seventy, ____, ___, one hundred; 4-6 count the cubes by tens, and then draw a circle around the number that tells how many.

Independent Practice

Question 7.
Envision Math Common Core Grade K Answer Key Topic 11 Count Numbers to 100 4.7
Answer:

Explanation:
I counted by tens, there are 60 cubes in the above image.
I circled 60.

Question 8.
Envision Math Common Core Grade K Answer Key Topic 11 Count Numbers to 100 4.8
Answer:

Explanation:
I counted by tens, there are 100 cubes in the above image.
I circled 100.

Question 9.
Envision Math Common Core Grade K Answer Key Topic 11 Count Numbers to 100 4.9
Answer:

Explanation:
If i start counting forward by tens from 40, the next tens are 50, 60, 70, 80, 90 and 100.
Therefore i circled the numbers by tens from 40 to 100.

Question 10.
Envision Math Common Core Grade K Answer Key Topic 11 Count Numbers to 100 4.10
Answer:

Explanation:
There are 10 decade numbers in the number chart.They are 10, 20, 30, 40, 50, 60, 70, 80, 90 and 100.

Directions 7-8 Have students count the cubes, and then draw a circle around the number that tells how many. 9 Say: If you start with 40, how would you count to 100 by tens? Circle the numbers you count. 10 Higher Order Thinking Have students look at the hundred chart and read the decade numbers. Say: How many decade numbers are there in the chart? Write the number.

Lesson 11.14 Count by Ones to 100

Solve & Share

Envision Math Common Core Grade K Answer Key Topic 11 Count Numbers to 100 4.11

Directions Say: Count forward from the yellow number. Stop at the red number. Tell how many numbers you counted aloud. Color the boxes of the numbers you counted aloud to show your work. Have students repeat the same steps for the blue to green sequence of squares, and for the orange to purple sequence of squares.

Visual Learning Bridge

Envision Math Common Core Grade K Answer Key Topic 11 Count Numbers to 100 4.12

Guided practice

Question 1.
Envision Math Common Core Grade K Answer Key Topic 11 Count Numbers to 100 5.1
Answer:

Explanation:
I colored the boxes of the numbers, starting at the yellow box 42 and ending at the red box 60.

Question 2.
Envision Math Common Core Grade K Answer Key Topic 11 Count Numbers to 100 5.2
Answer:

Explanation:
I colored the boxes of the numbers, starting at the yellow box 7 and ending at the red box 22.

Directions 1 and 2 Have students color the boxes of the numbers as they count aloud, starting at the yellow box and ending at the red box.

Question 3.
Envision Math Common Core Grade K Answer Key Topic 11 Count Numbers to 100 5.3
Answer:

Explanation:
I colored the boxes of the numbers, starting at the yellow box 34 and ending at the red box 55.

Question 4.
Envision Math Common Core Grade K Answer Key Topic 11 Count Numbers to 100 5.4
Answer:

Explanation:
I colored the boxes of the numbers, starting at the yellow box 79 and ending at the red box 100.

Question 5.
Envision Math Common Core Grade K Answer Key Topic 11 Count Numbers to 100 5.5
Answer:

Explanation:
I colored the boxes of the numbers, starting at the yellow box 1 and ending at the red box 28.

Question 6.
Envision Math Common Core Grade K Answer Key Topic 11 Count Numbers to 100 5.6
Answer:

Explanation:
I colored the boxes of the numbers, starting at the yellow box 56 and ending at the red box 76.

Directions 3-6 Have students color the boxes of the numbers as they count aloud, starting at the yellow box and ending at the red box. Envision Math Common Core Grade K Answer Key Topic 11 Count Numbers to 100 5.7

Question 7.
Envision Math Common Core Grade K Answer Key Topic 11 Count Numbers to 100 5.8
Answer:

Explanation:
I colored the boxes of the numbers, starting at the yellow box 12 and ending at the red box 33.

Question 8.
Envision Math Common Core Grade K Answer Key Topic 11 Count Numbers to 100 5.9
Answer:

Explanation:
I colored the boxes of the numbers, starting at the yellow box 63 and ending at the red box 85.

Question 9.
Envision Math Common Core Grade K Answers Topic 11 Count Numbers to 100 6.1
Answer:

Explanation:
I colored the boxes of the numbers, starting at the yellow box 47 and ending at the red box 64.

Question 10.
Envision Math Common Core Grade K Answers Topic 11 Count Numbers to 100 6.2
Answer:

Explanation:
I colored the box of the missing number: 79, 80, 81,83, 84, 85, 86, 87, 88 that is 82.
I circled the numbers in the chart that are I more and I less than the missing number they are 81 and 83.

Directions 7-9 Have students color the boxes of the numbers as they count aloud, starting at the yellow box and ending at the red box. 10 Higher Order Thinking Have students listen to the count, and then color the box of the missing number: 79, 80, 81,83, 8*4, 85, 86, 87, 88. Say: Circle the numbers in the chart that are I more and I less than the missing number.

Lesson 11.5 Look For and Use Structure

Problem Sharing

Solve & Share
Envision Math Common Core Grade K Answers Topic 11 Count Numbers to 100 6.3
Directions Say: Carlos looks at the chart. He knows 21 comes just after 20. Draw a circle around the numbers that come just after each decade number. How do you know you are correct? What patterns do you see?

Visual Learning Bridge
Envision Math Common Core Grade K Answers Topic 11 Count Numbers to 100 7.1

Guided Practice

Question 1.
Envision Math Common Core Grade K Answers Topic 11 Count Numbers to 100 7.2
Answer:

Explanation:
I circled the numbers that i counted from 7 to 9.They are 7, 8 , 9.

Question 2.
Envision Math Common Core Grade K Answers Topic 11 Count Numbers to 100 7.3
Answer:

Explanation:
I circled the numbers that i counted by tens from 10 to 30, they are 10, 20, 30.

Directions Have students 1 count forward by ones, beginning at 7 and going to 9. Have them circle the counted numbers. Then 2 count forward by tens, beginning at 10 and going to 30. Have them circle the counted numbers.

Independent Practice

Question 3.
Envision Math Common Core Grade K Answers Topic 11 Count Numbers to 100 7.4
Answer:

Explanation:
The numbers that come after 65 if we count by 1s are 66, 67, 68
I circled the set of numbers 66, 67, 68 as they are the missing numers in the above number chart.

Question 4.
Envision Math Common Core Grade K Answers Topic 11 Count Numbers to 100 7.5
Answer:

Explanation:
The numbers that come before 44 if we count by 1s are 41, 42, 43.
I circled the set of numbers 41, 42, 43 as they are the missing numers in the above number chart.

Question 5.
Envision Math Common Core Grade K Answers Topic 11 Count Numbers to 100 7.6
Answer:

Explanation:
The numbers that come after 39 if we count by 10s are 40, 50, 60.
I circled the set of numbers 40, 50, 60 as they are the missing numers in the above number chart.

Question 6.
Envision Math Common Core Grade K Answers Topic 11 Count Numbers to 100 7.7
Answer:

Explanation:
The numbers that come after 29 if we count by 1s are 30, 31, 32
I circled the set of numbers 30, 31, 32 as they are the missing numers in the above number chart.

Directions 3-6 Have students count forward, and then draw a circle around the row that shows the missing set of numbers.

Problem Solving

Performance Task

Envision Math Common Core Grade K Answers Topic 11 Count Numbers to 100 8.1
Answer:

Explanation:
7)I counted up 18 squares, Used yellow crayon to make a path to show how i counted, and then i drew a circle around the number 25 where i ended.
8)If i counted by ones the would say 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25.
9)If i start counting at 10 and count up 17 squares, i would land on the number 27.No, there is no different way to count other than counting by 1s or 10s.

Directions Read the problem aloud. Then have students use multiple problem-solving methods to solve the problem. Say: Start at 7 and count up 18 squares in any way you choose. Use your yellow crayon to make a path to show how you counted, and then draw a circle around the number where you ended. 7 Be Precise How many tens are in 18? 8 Use Structure What numbers would you say if you only counted by ones? 9 Generalize Start at 10 and count up 17 squares. On what number did you land? Would there be a different way to count that would solve the problem?

Topic 11 Fluency Practice Activity

Question 1.
Envision Math Common Core Grade K Answers Topic 11 Count Numbers to 100 8.2
Answer:

Explanation:
2+2=4=3+1=B
3-1=2=4-2=I
4+1=5=2+3=G
By solving the addition and subraction statements i found the word BIG with the clues given.

Question 2.
Envision Math Common Core Grade K Answers Topic 11 Count Numbers to 100 8.3
Answer:

Explanation:
5-5=0=3-3=C
4-3=1=5-4=A
0+3=3=1+2=T
By solving the addition and subraction statements i found the word CAT with the clues given.

Directions 1 and 2 Have students find a partner. Have them point to a clue in the top row, and then solve the addition or subtraction problem in the clue. Then have them look at the clues in the bottom row to find a match, and then write the clue letter above the match. Have students find a match for every clue.

Topic 11 Vocabulary Review

Envision Math Common Core Grade K Answers Topic 11 Count Numbers to 100 8.4
Answer:

Explanation:
1)I drew a circle around the part of the number in the orange column that is 3 ones
2)I drew a circle around the part of the number in the blue column that shows the pattern of 8 ones
3)I colored the decade numbers red.

Directions Understand Vocabulary Have students: 1 draw a circle around the part of the number in the orange column that is 3 ones. 2 draw a circle around the part of the number in the blue column that shows the pattern of 8 ones; 3 color the decade numbers red.

Topic 11 Reteaching

Set A

Envision Math Common Core Grade K Answers Topic 11 Count Numbers to 100 8.5

Question 1.
Envision Math Common Core Grade K Answers Topic 11 Count Numbers to 100 8.6
Answer:

Explanation:
I drew a circle around the numbers in the top row and the part of the number in the bottom row that sound the same.

Set B
Envision Math Common Core Grade K Answers Topic 11 Count Numbers to 100 8.7

Question 2.
Envision Math Common Core Grade K Answers Topic 11 Count Numbers to 100 8.8
Answer:

Explanation:
I counted by 10s, there are 80 cubes in the above image.
So, I circled 80.

Directions Have students: 1 count aloud the numbers in the top row. Then have them count aloud the numbers in the bottom row and draw a circle around the number in the top row and the part of the number in the bottom row that sound the same; 2 count by tens, and then draw a circle around the number that tells how many.

Set C
Envision Math Common Core Grade K Answers Topic 11 Count Numbers to 100 8.9

Question 3.
Envision Math Common Core Grade K Answers Topic 11 Count Numbers to 100 8.10
Answer:

Explanation:
I colored the boxes of the numbers, starting at the yellow box 69 and ending at the red box 80.

Set D
Envision Math Common Core Grade K Answers Topic 11 Count Numbers to 100 8.11

Question 4.
Envision Math Common Core Grade K Answers Topic 11 Count Numbers to 100 9.1
Answer:

Explanation:
I counted forward by 10s from 66, the next decades are 76, 86, 96.
So, i circled the set of missing numbers 76, 86, 96.

Directions Have students: 3 color the boxes of the numbers as they count aloud by ones, starting at the yellow box and ending at the red box; 4 count forward, and then draw a circle around the row that shows the missing set of numbers.

Topic 11 Assessment Practice

Question 1.
Envision Math Common Core Grade K Answers Topic 11 Count Numbers to 100 9.2
Answer:

Explanation:
I counted by 10s, there are 70 cubes in the above image.
So, I circled option(B) 70.

Question 2.
Envision Math Common Core Grade K Answers Topic 11 Count Numbers to 100 9.3
Answer:

Explanation:
I counted by 1s, there are 58 beads in the above image.
So, I circled option(C) 58.

Question 3.
Envision Math Common Core Grade K Answers Topic 11 Count Numbers to 100 9.4
Answer:

Explanation:
I counted by 10s, After 70, the numbers are 80, 90, 100.
So, I circled option(A) 80, 90, 100.

Directions Have students mark the best answer. 1 Which number tells how many cubes? 2 Count the beads by ones. Which number tells how many? 3 Which set of numbers shows the set of missing numbers in the number chart?

Question 4.
Envision Math Common Core Grade K Answers Topic 11 Count Numbers to 100 10.1
Answer:

Explanation:
I number that is just before the yellow numbers is 22.So, i circled Option(A).

Question 5.
Envision Math Common Core Grade K Answers Topic 11 Count Numbers to 100 10.2
Answer:

Explanation:
I started counting at 61 and drew a circle around the part of the number that sounds the same to show the pattern that is sixty, and then draw a circle around the column that has decade numbers 60, 70, 80, 90, 100.

Question 6.
Envision Math Common Core Grade K Answers Topic 11 Count Numbers to 100 10.3
Answer:

Explanation:
I colored the boxes of the numbers, starting at the yellow box 77 and ending at the red box 94.

Question 7.
Envision Math Common Core Grade K Answers Topic 11 Count Numbers to 100 10.4
Answer:

Explanation:
I counted by ones to write the missing numbers in the top row they are 16, 20, and then drew a circle around each of the missing numbers in the remaining rows they are 22, 30, 33, 39, 40, 41, 47, 48, 55, 56.

Directions Have students: 4 look at the numbers that are shaded yellow and choose the number that is counted just before the first yellow number. 5 look at the row beginning with 61. Count each number aloud. Have them draw a circle around the part of the number that sounds the same to show the pattern, and then draw a circle around the column that has decade numbers; 6 color the boxes of the numbers as they count by ones, starting at the yellow box and ending at the red box, and then explain any patterns they might see or hear; 7 count by ones to write the missing numbers in the top row, and then draw a circle around each of the missing numbers in the remaining rows.

Topic 11 Performance Task

Question 1.
Envision Math Common Core Grade K Answers Topic 11 Count Numbers to 100 11.1
Answer:

Explanation:
If we count by 1s the number that comes after 18 is 19.SO, i circled 19.
Therefore, the missing number that tells how many grapes Keisha has is 19.

Question 2.
Envision Math Common Core Grade K Answers Topic 11 Count Numbers to 100 11.2
Answer:

Explanation:
I counted the almonds above by 10s, there are 50 almonds.
So, i circled 50.
Therefore, the number that tells how many almonds that Liam and his friends share for their snack is 50.

Directions School Snacks Say: It’s snack time for the Kindergarten class! 1 Say: Keisha puts a grape on the hundred chart to show how many grapes she has in her snack bag. Have students look at the numbers that come just before and just after the grape, and then at the numbers that are just above and just below it. Have them draw a circle around the missing number that tells how many grapes Keisha has. 2 Have students count the almonds that Liam and his friends share for their snack. Have them draw a circle around the number that tells how many. If needed, students can use the hundred chart to help.

Question 3.
Envision Math Common Core Grade K Answers Topic 11 Count Numbers to 100 12.1
Answer:

Explanation:
I counted by 1s, there are 16 crackers.So, I coloreed the number 16.
If each friend has I cracker then the crackers left over are 16-10=6.So, i colored 6.

Envision Math Common Core Grade K Answers Topic 11 Count Numbers to 100 12.2
Answer:

Explanation:
I started at 64 on the number chart and made a path to show how to count up 18 i colored the number boxes from 64 to 81 then i drew a circle around the number where i stopped that is 82.

Directions 3 Say: Chen brings crackers for snack time for his table of 10 friends. Look at the crackers he brings. Have students count the crackers and color that number on the number chart. Say: How many crackers are left over if each friend has I cracker? Color that number on the chart. How do you know you are right? 4 Say: Zoe counts the cherries that she gives to her friends. She puts cherries on the number chart for the last three numbers that she counts. Have students find the cherries in the chart. Then have them look at the numbers to the right of the chart, and then draw a circle around the set of missing numbers to show how Zoe counted the cherries. 5 Say: Ty has 64 raisins in one bag. He has 18 raisins in another bag. Help Ty count his raisins. Have students start at 64 on the number chart and make a path to show how to count up 18 in any way they choose. Then have them draw a circle around the number where they stopped, and then explain how they counted up.

Envision Math Grade 2 Answer Key Topic 1 Test

Envision Math 2nd Grade Textbook Answer Key Topic 1 Test Prep

Test

Question 1.
Envision Math Grade 2 Answer Key Topic 1 Test Prep 1
Answer:

Question 2.
Envision Math Grade 2 Answer Key Topic 1 Test Prep 2
Answer:

Question 3.
Envision Math Grade 2 Answer Key Topic 1 Test Prep 3
Answer:

Question 4.
Envision Math Grade 2 Answer Key Topic 1 Test Prep 4
Answer:

Oral Directions
Say: Mark the correct answer.
1. Mark the number sentence that matches the model.
2. Beth feeds 5 goats. Keith feeds 8 ducks. How many animals do they feed in all?
3. Mark the number sentence that matches the model.
4. Tim has 10 balloons. He gives 8 away. How many balloons does Tim have now?

Question 5.
Envision Math Grade 2 Answer Key Topic 1 Test Prep 5
Answer:

Question 6.
Envision Math Grade 2 Answer Key Topic 1 Test Prep 6
Answer:

Question 7.
Envision Math Grade 2 Answer Key Topic 1 Test Prep 7
Answer:

Oral Directions
Say: Mark the correct answer.
5. Rico has 12 fish. Carla has 5 fish. How many more fish does Rico have than Carla?
6. Which other subtraction sentence matches the model?
7. Which number sentence matches this story and the model? Tina has 5 blue flowers and 7 pink flowers. How many flowers does she have in all?

enVision Math Common Core Grade 2 Answer Key Topic 12 Measuring Length

enVision Math Common Core Grade 2 Answer Key Topic 12 Measuring Length

Go through the enVision Math Common Core Grade 2 Answer Key Topic 12 Measuring Length regularly and improve your accuracy in solving questions.

enVision Math Common Core 2nd Grade Answers Key Topic 12 Measuring Length

Essential Question:
What are ways to measure length?
Envision Math Common Core 2nd Grade Answer Key Topic 12 Measuring Length 1

enVision STEM Project: Growing and Measuring
Find Out Grow bean plants. Give them numbers. Put some in sunlight. Put some in a dark place. Water some of the plants. Do not water some of the plants. See how the plants in each group grow.

Journal: Make a Book Show what you learn in a book. In your book, also:

  • Tell if plants need sunlight and water to grow.
  • Find plants to measure. Draw pictures of the plants. Tell how tall each plant is.

Review What You Know

Vocabulary
Question 1.
Draw a line under the bat to show its length.
Envision Math Common Core 2nd Grade Answer Key Topic 12 Measuring Length 2
Answer:
Envision-Math-Common-Core-2nd-Grade-Answer-Key-Topic-12-Measuring-Length-2-1

Question 2.
School is getting out. Circle a.m. or p.m.
Envision Math Common Core 2nd Grade Answer Key Topic 12 Measuring Length 3
Answer:
4 pm.

Explanation:
The time shown on the clock is 4 pm.
Envision-Math-Common-Core-2nd-Grade-Answer-Key-Topic-12-Measuring-Length-3-1

Question 3.
Draw clock hands to show quarter past 10.
Envision Math Common Core 2nd Grade Answer Key Topic 12 Measuring Length 4
Answer:
10:25.

Explanation:
The clock shows 10:25.
Envision-Math-Common-Core-2nd-Grade-Answer-Key-Topic-12-Measuring-Length-4-1

Measuring Length 1

Estimating and Measuring Length
Question 4.
Use snap cubes.
Envision Math Common Core 2nd Grade Answer Key Topic 12 Measuring Length 5
Estimate the length.
about ________ cubes
Measure the length.
about ________ cubes
Answer:
The estimated length is about 2 cubes.
The measuring length is about 2 cubes.

Explanation:
The estimated length of the above image is two cubes and the length of the measurement is two cubes.

Question 5.
Use snap cubes.
Envision Math Common Core 2nd Grade Answer Key Topic 12 Measuring Length 6
Estimate the length.
about ________ cubes
Measure the length.
about ________ cubes
Answer:
The estimated length is about 3 cubes.
The measuring length is about 3 cubes.

Explanation:
The estimated length of the above image is three cubes and the length of the measurement is three cubes.

Skip Counting
Question 6.
Write the missing numbers.
5, 10, _____, 20, _____
210, 220, _____, 240
400, ____, 600, 700
Envision Math Common Core 2nd Grade Answer Key Topic 12 Measuring Length 7
Answer:
5, 10, 15, 20, 25.
210, 220, 230, 240.
400, 500, 600, 700.

Explanation:
The difference between the first number and the second number is 10 – 5 which is 5, so the missing numbers are 15,25.
5, 10, 15, 20, 25.
The difference between the second number and the first number is 220 – 210 which is 10, so the missing number is 230.
210, 220, 230, 240.
The difference between the last number and the last before the number is 700 – 600 which is 100, so the missing numbers are 400, 500, 600, 700.

Pick a Project

PROJECT 12A
How are measurements used to design clothing?
Project: Measure Feet and Create Sock Designs
Envision Math Common Core 2nd Grade Answer Key Topic 12 Measuring Length 8

Answer:
Here, we will place a tape measure on the floor and we will take a position back of the heel at the zero marks on the tape. Then we will measure to the longest toe. And with the foot circumstances, we will make sure the sock wearer’s foot is placed on the ground. So we can get an accurate measurement.

PROJECT 12B
What units should you use to measure longer distances?
Project: Compare the Measurements of Sports Fields
Envision Math Common Core 2nd Grade Answer Key Topic 12 Measuring Length 9

Answer:
We will use kilometers to measure the longer distances.

PROJECT 12C
What can help you remember different measurement facts?
Project: Create a Booklet of Measurement Rhymes
Envision Math Common Core 2nd Grade Answer Key Topic 12 Measuring Length 10

PROJECT 12D
How long or how tall are some animals and insects?
Project: Make a Poster of Snake Lengths
Envision Math Common Core 2nd Grade Answer Key Topic 12 Measuring Length 11

Lesson 12.1 Estimating Length

Solve & Share
Your thumb is about 1 inch long. Use your thumb to find three objects that are each about 1 inch long. Draw the objects. From your elbow to your fingers is about I foot long. Use this part of your arm to find three objects that are each about I foot long. Draw the objects.
I can … estimate the length of an object by relating the length of the object to a measurement I know.
Envision Math Common Core 2nd Grade Answer Key Topic 12 Measuring Length 12

Answer:
Envision-Math-Common-Core-2nd-Grade-Answer-Key-Topic-12-Measuring-Length-12-1

Visual Learning Bridge
Envision Math Common Core 2nd Grade Answer Key Topic 12 Measuring Length 13

Convince Me! Is your height closer to 4 feet or 4 yards? How do you know?
Answer:
Yes, my height is closer to 4 feet or 4 yards.

Explanation:
Given that some objects and their estimated lengths. So, here we have 3 + 3 + 3 + 3 which is 12 feet. As 1 yard is 3 feet, so 12 feet is 4 yards. So my height is closer to 4 feet or 4 yards.

Guided Practice

Write the name and length of an object whose length you know. Then use that object to help you estimate the length of the object shown.
Envision Math Common Core 2nd Grade Answer Key Topic 12 Measuring Length 14
Answer:
Pencil is 6 inch long.
Book is 1 foot long.
Desk is 2 feet long.

Explanation:
The pencil is about 6 inch long and my book is 1 foot long and my desk is about 2 feet long.
Envision-Math-Common-Core-2nd-Grade-Answer-Key-Topic-12-Measuring-Length-14-1

Independent Practice

Write the name and length of an object whose length you know. te Then use that object to help you estimate the length of the object shown.
Envision Math Common Core 2nd Grade Answer Key Topic 12 Measuring Length 15
Answer:
My thumb is 1 inch long.
My hand is about 6 inches long.
My book is 1 foot long.
My chair is about 3 feet high.

Explanation:
My thumb is 1 inch long.
My hand is about 6 inches long.
My book is 1 foot long.
My chair is about 3 feet high.
Envision-Math-Common-Core-2nd-Grade-Answer-Key-Topic-12-Measuring-Length-15-1

Measuring Length 3

Question 5.
Higher Order Thinking Would you estimate the distance from your classroom to the principal’s office in inches, feet, or yards? How many units? Explain.
Envision Math Common Core 2nd Grade Answer Key Topic 12 Measuring Length 16
Answer:
Given that the estimated distance from your classroom to the principal’s office is a gaint step is about a yard. So we would use yards because it covers more length at one time.

Problem Solving

Solve each problem.
Question 6.
Vocabulary Complete each sentence using one of the words below.
exact
estimated
inch
yard
An ___________ measurement is a good guess.
The height of a kitchen window is about 1 ________.
A small paper clip is about 1 _______ long.
Answer:
An estimated measurement is a good guess.
The height of a kitchen window is about 1 yard.
A small paper clip is about 1 inch long.

Question 7.
Reasoning Joy and Kyle estimate the height of their classroom. Joy estimates the height to be 10 feet. Kyle estimates the height to be 10 yards. Who has the better estimate? Explain.
Answer:
Given that Joy and Kyle estimate the height of their classroom and Joy estimates the height to be 10 feet and Kyle estimates the height to be 10 yards. So Joy has the better estimation as we know that 1 yard is 3 feet and 10 yards is 30 feet which is big.

Question 8.
Higher Order Thinking A city wants to build a bridge over a river. Should they plan out an exact length of the bridge, or is an estimated length good enough? Explain.
Answer:
Here, we need an exact length because then cars or people would tall so if it was too short

Question 9.
Assessment Practice Draw a line from each estimate to a matching object.
Envision Math Common Core 2nd Grade Answer Key Topic 12 Measuring Length 17
Answer:
The book is about 1 foot and the stamp is about 1 inch and the umbrella is about 1 yard.

Explanation:
In the above image, we can see that the book is about 1 foot and the stamp is about 1 inch and the umbrella is about 1 yard.
Envision-Math-Common-Core-2nd-Grade-Answer-Key-Topic-12-Measuring-Length-17-1

Lesson 12.2 Measure with Inches

Solve & Share
The orange square is I inch long. How can you use I inch squares to find the length of the line in inches? Measure the line and explain.
I can … estimate measures and use a ruler to measure length and height to the nearest inch.
Envision Math Common Core 2nd Grade Answer Key Topic 12 Measuring Length 18
The line is about _____ inches long.

Answer:
The line is about 5 inches long.
Envision-Math-Common-Core-2nd-Grade-Answer-Key-Topic-12-Measuring-Length-18-1

Visual Learning Bridge
Envision Math Common Core 2nd Grade Answer Key Topic 12 Measuring Length 19

Convince Me! Use a ruler to measure. What classroom objects are about 12 inches long?

Answer:
The classroom objects which are about 12 inches long is books, plates, sink, Chromebook and tissue box.

Guided Practice

Estimate the height or length of each real object. Then use a ruler to measure to the nearest inch.
Question 1.
Envision Math Common Core 2nd Grade Answer Key Topic 12 Measuring Length 20

Envision Math Common Core 2nd Grade Answer Key Topic 12 Measuring Length 21

Question 2.
Envision Math Common Core 2nd Grade Answer Key Topic 12 Measuring Length 22
Answer:
The estimated length of the pencil case is about 8 inches and the measured value is about 7 inches.

Independent Practice

Estimate the height or length of each real object. Then use a ruler to measure. Compare your estimate and measurement.
Question 3.
Envision Math Common Core 2nd Grade Answer Key Topic 12 Measuring Length 23
Answer:
The estimated width of the bag is about 6 inches and the measured value is about 12 inches.

Envision Math Common Core 2nd Grade Answer Key Topic 12 Measuring Length 24

Question 4.
Envision Math Common Core 2nd Grade Answer Key Topic 12 Measuring Length 25
Answer:
The estimated length of the paintbrush is about 5 inches and the measured value is about 8 inches.

Question 5.
Envision Math Common Core 2nd Grade Answer Key Topic 12 Measuring Length 26
Answer:
The estimated height of a cup is about 4 inches and the measured value is about 6 inches.

Envision Math Common Core 2nd Grade Answer Key Topic 12 Measuring Length 27

Question 6.
Envision Math Common Core 2nd Grade Answer Key Topic 12 Measuring Length 28
Answer:
The estimated length of a crayon box is about 4 inches and the measured value is about 5 inches.

Higher Order Thinking Think about how to use a ruler to solve each problem.

Question 7.
Jason measures an object. The object is just shorter than the halfway mark between 8 and 9 on his inch ruler. How long is the object?
about _______ inches
Answer:
The length of the object is about 8 inches.

Explanation:
Given that Jason measures an object and the object is just shorter than the halfway mark between 8 and 9 on his inch ruler, so the length of the object is about 8 inches.

Question 8.
Gina measures an object. The object is just longer than the halfway mark between 9 and 10 on her inch ruler. How long is the object?
about _______ inches
Answer:
The length of the object is about 10 inches.

Explanation:
Given that Gina measures an object and the object is just longer than the halfway mark between 9 and 10 on her inch ruler. So the length of the object is about 10 inches.

Problem Solving

Solve each problem.
Question 9.
Explain Pam says that each cherry is about 1 inch wide. Is she correct? Explain.
Envision Math Common Core 2nd Grade Answer Key Topic 12 Measuring Length 29
Answer:
Yes, she is correct.

Explanation:
As Pam says that each cherry is about 1 inch wide, yes she is correct. Because it is longer than the halfway mark.

Question 10.
Vocabulary Find an object in the classroom that measures about 6 inches. Write a sentence to describe the object. Use these words.
estimate
inches
Answer:
Estimated: 8 inches.
Actual: 10 inches.

Explanation:
The estimated length of the chrome book is about 8 inches and its actual length of the chrome book is about 10 inches.

Question 11.
Higher Order Thinking Explain how to use an inch ruler to measure the length of an object.
Answer:
I would hold up the ruler next to the object to measure.

Question 12.
Assessment Practice Use a ruler. About how many inches long are the two stamps together?
Envision Math Common Core 2nd Grade Answer Key Topic 12 Measuring Length 30
A. 4 inches
B. 3 inches
C. 2 inches
D. 1 inch
Answer:
2 inches.

Explanation:
The length of the two stamps together is 2 inches.

Lesson 12.3 Inches, Feet, and Yards

Solve & Share
Which objects in the classroom are about 1 inch, about I foot, and about 1 yard long? Show these objects below.
I can … estimate measures and use tools to measure the length and height of objects to the nearest inch, foot, and yard.
about 1 inch
about 1 foot
about 1 yard

Visual Learning Bridge
Envision Math Common Core 2nd Grade Answer Key Topic 12 Measuring Length 31

Convince Me! Would you measure the length of a school building in inches or yards? Why?
Answer:
Yards.

Explanation:
The length of the school building is measured in yards because they are large units.

Guided Practice

Match each object with a reasonable estimate of its length.
Envision Math Common Core 2nd Grade Answer Key Topic 12 Measuring Length 32
Answer:
Envision-Math-Common-Core-2nd-Grade-Answer-Key-Topic-12-Measuring-Length-32-1

Independent Practice

Estimate the length of each real object. Choose a ruler, yardstick, or measuring tape to measure. Write the tool you used.
Envision Math Common Core 2nd Grade Answer Key Topic 12 Measuring Length 33

Envision-Math-Common-Core-2nd-Grade-Answer-Key-Topic-12-Measuring-Length-33-1
Question 4.
Envision Math Common Core 2nd Grade Answer Key Topic 12 Measuring Length 34
Answer:
3 feet.

Explanation:
The length of the pencil is about 3 feet.

Question 5.
Envision Math Common Core 2nd Grade Answer Key Topic 12 Measuring Length 35
Answer:
6 feet.

Explanation:
The length of the table is about 6 feet.

Question 6.
Envision Math Common Core 2nd Grade Answer Key Topic 12 Measuring Length 36
Answer:
11 feet.

Explanation:
The length of the door is about 11 feet.

Question 7.
Higher Order Thinking Explain how you could use a foot ruler to measure the length of a room in feet.
Answer:
We will start at one end and then we will make a mark for one foot. Then we will move the ruler to the mark and measure a second foot then we will keep going to the end of the room.

Problem Solving

Solve each problem.
Question 8.
Generalize Circle the real object that is about 4 feet in length.
Envision Math Common Core 2nd Grade Answer Key Topic 12 Measuring Length 37
Answer:
The real object that is about 4 feet in length is a cycle.
Envision-Math-Common-Core-2nd-Grade-Answer-Key-Topic-12-Measuring-Length-37-1

Question 9.
Number Sense Explain how to use a yardstick to measure the length of an object. Estimate the length of your classroom in yards. Then measure.
Answer:
A yardstick is used to measure larger objects. A yardstick also has inches on it.

Question 10.
Higher Order Thinking Find an object in the classroom that you estimate measures about 2 feet. Draw the object.
What tool would you use to measure it? Explain why you chose the tool you did.
Answer:
Bookshelves.

Explanation:
The object in the classroom is bookshelves and I would use a book to measure because they are 1 foot.
Envision-Math-Common-Core-2nd-Grade-Answer-Key-Topic-12-Measuring-Length-37-2

Question 11.
Assessment Practice Jon sets two of the same real objects next to each other. Together, they have a length of about 4 feet. Which is the object Jon uses?
Envision Math Common Core 2nd Grade Answer Key Topic 12 Measuring Length 38
Answer:
Table.

Explanation:
In the above objects which are about 4 feet is table.

Lesson 12.4 Measure Length Using Different Customary Units

Solve & Share
Choose an object. Measure your object in feet. Then measure it in inches. Do you need more units of feet or inches to measure your object? Why?
I can … estimate and measure the length and height of objects in inches, feet, and yards.
Envision Math Common Core 2nd Grade Answer Key Topic 12 Measuring Length 39
about ______ feet long
about ________ inches long

Answer:
about 1 foot long,
about 12 inches long.

Explanation:
Here, my laptop is about 1 foot long and it is about 12 inches long. I need more units of inches because it took 12 of them.

Visual Learning Bridge
Envision Math Common Core 2nd Grade Answer Key Topic 12 Measuring Length 40

Convince Me! Juan measures the height of a wall in his room. He lines the wall with one-foot rulers. He could find this height with yardsticks. Would Juan need more rulers or yardsticks? Explain.

Guided Practice

Measure each real object using different units. Circle the unit you use more of to measure each object.
Question 1.
Envision Math Common Core 2nd Grade Answers Topic 12 Measuring Length 41
about ______ feet
about _______ yards
I use more units of:
feet
yards
Answer:
about 3 feet.
about 1 yard.

Explanation:
The measurement of the object in the above image is about 3 feet and about 1 yard.

Question 2.
Envision Math Common Core 2nd Grade Answers Topic 12 Measuring Length 42
about ______ feet
about ______ inches
I use more units of:
inches
feet
Answer:
about 3 feet.
about 36 inches.

Explanation:
The measurement of the object in the above image is about 3 feet and about 36 inches.

Independent Practice

Measure each real object using different units. Circle the unit you use fewer of to measure each object.
Question 3.
Envision Math Common Core 2nd Grade Answers Topic 12 Measuring Length 43
about _______ inches
about _______ feet
I use fewer units of:
inches
feet
Answer:
about 3 feet.
about 36 inches.

Explanation:
The measurement of the object in the above image is about 3 feet and about 36 inches.

Question 4.
Envision Math Common Core 2nd Grade Answers Topic 12 Measuring Length 44
about _______ feet
about _______ yards
about
I use fewer units of:
feet
yards
Answer:
about 6 feet.
about 2 yards.

Explanation:
The measurement of the object in the above image is about 6 feet and about 2 yards.

Question 5.
Envision Math Common Core 2nd Grade Answers Topic 12 Measuring Length 45
about _______ feet
about _______ yards
I use fewer units of:
feet
yards
Answer:
about 3 feet.
about 1 yard.

Explanation:
The measurement of the object in the above image is about 3 feet and about 1 yard.

Number Sense Circle the best estimate for the length of each object.
Question 6.
About how long is a key?
2 inches
2 feet
2 yards
Which tool would you use to measure the length of a key?
Answer:
Ruler.
And the length is 2 inches.

Explanation:
The tool would we use to measure the length of a key is a Ruler and the length of a key is 2 inches.

Question 7.
About how long is a suitcase?
2 inches
2 feet
2 yards
Which tool would you use to measure the length of a suitcase?
Answer:
Ruler.
And the length is 2 feet.

Explanation:
The tool would we use to measure the length of a suitcase is a Ruler and the length of a key is 2 feet

Problem Solving

Solve each problem.
Question 8.
Use Tools Measure the length of an object in your classroom using two different units.
Object: ___________
about ________ about _________
Which unit did you use more of?
Circle which tool you used.
ruler
yardstick
measuring tape
Answer:

Question 9.
Higher Order Thinking Andrew wants to measure the length of a football field. Should he use feet or yards to measure it? Which tool should he use? Explain.
Answer:
Andrew uses yards.

Explanation:
Here, Andrew wants to measure the length of a football field, so he uses yards to measure. Because the football field is very long. So he uses yards.

Question 10.
Assessment Practice Which unit would you need the fewest of to measure the length of the table?
Envision Math Common Core 2nd Grade Answers Topic 12 Measuring Length 46
A. inches
B. feet
C. yards
D. all the same
Answer:
The table is measured in yards.

Explanation:
The fewest of to measure the length of the table is yards, as the length of the table will be one yard.

Question 11.
Assessment Practice Which is the best estimate for the length of a vegetable garden?
Envision Math Common Core 2nd Grade Answers Topic 12 Measuring Length 47
A. about 5 inches
B. about I foot
C. about 5 yards
D. about 20 inches
Answer:
About 5 yards.

Explanation:
The best estimate for the length of a vegetable garden is about 5 yards.

Lesson 12.5 Measure with Centimeters

Solve & Share
The green cube is I centimeter long. How can you use I centimeter cubes to find the length of the line in centimeters? Measure the line and explain.
I can … estimate measures and use a ruler to measure length and height to the nearest centimeter.
Envision Math Common Core 2nd Grade Answers Topic 12 Measuring Length 48
The line is about _______ centimeters long.

Answer:
The line is about 7 centimeters long.

Explanation:
The line is about 7centimeters long.
Envision-Math-Common-Core-2nd-Grade-Answers-Topic-12-Measuring-Length-48-1

Visual Learning Bridge
Envision Math Common Core 2nd Grade Answers Topic 12 Measuring Length 49

Convince Mel Explain how you know the length of the paper clip above is about 3 centimeters long.

Answer:
We can see where it is measured on the ruler.

Guided Practice

Estimate the height or length of each real object. Use a ruler to measure to the nearest centimeter.
Question 1.
Envision Math Common Core 2nd Grade Answers Topic 12 Measuring Length 50

Envision Math Common Core 2nd Grade Answers Topic 12 Measuring Length 51

Answer:
The estimated length is 15 centimeters and the actual measure is 18 centimeters.

Explanation:
The estimated length of the stapler is about 15 centimeters and the actual measurement is 18 centimeters.

Question 2.
Envision Math Common Core 2nd Grade Answers Topic 12 Measuring Length 52
Answer:
The estimated length is 22 centimeters and the actual measure is 25 centimeters.

Explanation:
The estimated length of the stapler is about 22 centimeters and the actual measurement is 25 centimeters.

Independent Practice

Estimate the width, height, or length of each real object. Then use a ruler to measure. Compare your estimate and measurement.
Envision Math Common Core 2nd Grade Answers Topic 12 Measuring Length 53
Question 3.
Envision Math Common Core 2nd Grade Answers Topic 12 Measuring Length 54
width of a shoelace
Answer:
The estimated width is 3 centimeters and the actual measure is 2 centimeters.

Explanation:
The estimated width of the shoelace is about 3 centimeters and the actual measurement is 2 centimeters.

Question 4.
Envision Math Common Core 2nd Grade Answers Topic 12 Measuring Length 55
width of a chair
Answer:
The estimated width is 25 centimeters and the actual measure is 35 centimeters.

Explanation:
The estimated width of the shoelace is about 25 centimeters and the actual measurement is 35 centimeters.

Question 5.
Envision Math Common Core 2nd Grade Answers Topic 12 Measuring Length 56
length of a pencil
Answer:
The estimated length is 15 centimeters and the actual measure is 12 centimeters.

Explanation:
The estimated length of a pencil is about 15 centimeters and the actual measurement is 12 centimeters.

Envision Math Common Core 2nd Grade Answers Topic 12 Measuring Length 57

Question 6.
Envision Math Common Core 2nd Grade Answers Topic 12 Measuring Length 58
height of scissors
Answer:
The estimated height is 10 centimeters and the actual measure is 13 centimeters.

Explanation:
The estimated height of the scissors is about 10 centimeters and the actual measurement is 13 centimeters.

Higher Order Thinking Explain whether each estimate is reasonable or not.
Question 7.
Josh estimated that the length of his reading book is about 6 centimeters.
Answer:
No, Josh estimated length is not correct.

Explanation:
No, Josh estimated length is not correct. Because 6 centimeters is too small.

Question 8.
Shae estimated that the height of her desk is about 10 centimeters.
Answer:
No, Shae estimated height is not correct.

Explanation:
No, Josh estimated height is not correct. Because 10 centimeters is too small.

Problem Solving

Solve each problem.
Question 9.
Vocabulary Find an object that is about 10 centimeters long. Write a sentence to describe your object using these words.
centimeters
estimate
Answer:
Here, we have taken the eraser as an object which is about 10 centimeters long. The estimated length of the eraser is about 12 centimeters.

Question 10.
Look for Patterns Nick wants to put another pen end to end with this one. About how long would the two pens be together?
about _________ centimeters
Envision Math Common Core 2nd Grade Answers Topic 12 Measuring Length 59
Answer:
14 centimeters.

Explanation:
The length of the two pens be together would be 7 + 7 which is 14 centimeters.

Question 11.
Higher Order Thinking Paul says that a toothbrush is about 19 centimeters long. Sarah says it is about 50 centimeters long. Who is correct? Explain.
Answer:
Paul is correct.

Explanation:
Paul is correct, we know that by measuring. So Sarah is wrong.

Question 12.
Assessment Practice Mary measures the length of her eraser to the nearest centimeter. What is the length of her eraser to the nearest centimeter?
__________ centimeters
Envision Math Common Core 2nd Grade Answers Topic 12 Measuring Length 60
Answer:
4 centimeters.

Explanation:
The length of her eraser to the nearest centimeter is centimeters.

Lesson 12.6 Centimeters and Meters

Solve & Share
Which objects in the classroom are about 3 centimeters long? Which objects are about I meter long?
Show these objects below.
I can … estimate measures and use a ruler, a meter stick, or a tape measure to measure length and height to the nearest centimeter or meter.
about 3 centimeters
about 1 meter

Answer:
Sharpener lid, pencil, and a marker cap.

Explanation:
The objects that are about 3 centimeters long are a sharpener lid, pencil, and a marker cap.

Visual Learning Bridge
Envision Math Common Core 2nd Grade Answers Topic 12 Measuring Length 61

Convince Me! Would you measure the length of a house in centimeters or meters? Why?

Answer:
Meters.

Explanation:
The length of the house is measured in meters because meters are a bigger unit of measurement.

Guided Practice

Match each object with a reasonable estimate of its length.
Envision Math Common Core 2nd Grade Answers Topic 12 Measuring Length 62
Answer:
Envision-Math-Common-Core-2nd-Grade-Answers-Topic-12-Measuring-Length-62-1

Independent Practice

Estimate the length or height of each real object shown. Then choose a tool and measure. Compare your estimate and measurement.
Envision Math Common Core 2nd Grade Answers Topic 12 Measuring Length 63
Envision-Math-Common-Core-2nd-Grade-Answers-Topic-12-Measuring-Length-63-1
Question 5.
Envision Math Common Core 2nd Grade Answers Topic 12 Measuring Length 64
Answer:
The estimated length is 5 cm and the measured value is 6 cm.

Explanation:
The estimated length of the above object is about 5 cm and the measured value is about 6 cm. We have used a ruler to measure the object.

Question 6.
Envision Math Common Core 2nd Grade Answers Topic 12 Measuring Length 65
Answer:
The estimated height is 1 m and the measured value is 1 m.

Explanation:
The estimated height of the above object is about 1 m and the measured value is about 1 m. We have used a meterstick to measure the object.

Question 7.
Envision Math Common Core 2nd Grade Answers Topic 12 Measuring Length 66
Answer:
The estimated length is 8 cm and the measured value is 12 cm.

Explanation:
The estimated length of the above object is about 8 cm and the measured value is about 12 cm. We have used a ruler to measure the object.

Question 8.
Envision Math Common Core 2nd Grade Answers Topic 12 Measuring Length 67
Answer:
The estimated height is 1 m and the measured value is 1 m.

Explanation:
The estimated height of the above object is about 1 m and the measured value is about 1 m. We have used a meterstick to measure the object.

Question 9.
Tom uses a meter stick to measure the length of a fence. He places the meter stick 5 times on the fence to measure from one end to the other end. How long is the fence?
________ meters
Answer:
5 meters.

Explanation:
Here, Tom uses a meter stick to measure the length of a fence and he places the meter stick 5 times on the fence to measure from one end to the other end, so the length of the fence is 5 meters.

Question 10.
Higher Order Thinking Debbie says that her doll is about 30 meters long. Do you think this is a good estimate? Why or why not?
Answer:
No, Debbie’s estimation is incorrect.

Explanation:
No, Debbie’s estimation is incorrect because it is too big.

Problem Solving

Solve each problem.
Question 11.
Be Precise Choose an object to measure. Use metric units. Estimate first and then measure.
Draw the object and write your estimate and measurement. Was your estimate reasonable?
Envision Math Common Core 2nd Grade Answers Topic 12 Measuring Length 68
Answer:

Question 12.
Circle the real object that would be about 2 meters long.
Envision Math Common Core 2nd Grade Answers Topic 12 Measuring Length 69
Answer:
Object 1 is about 2 meters longer than object 2.

Explanation:
Here, Object 1 is about 2 meters longer than object 2.
Envision-Math-Common-Core-2nd-Grade-Answers-Topic-12-Measuring-Length-69-1

Question 13.
Higher Order Thinking Each side of a place-value cube is I centimeter long. Use a place-value cube to draw a 5-centimeter ruler.
Answer:
Here, we have placed I centimeter long 5 cubes.
Envision-Math-Common-Core-2nd-Grade-Answers-Topic-12-Measuring-Length-48-1

Question 14.
Assessment Practice Choose an appropriate tool. Measure each line. Which lines are at least 6 centimeters long? Choose all that apply.
Envision Math Common Core 2nd Grade Answers Topic 12 Measuring Length 70
Answer:
Option A and Option B are at least 6 centimeters long.

Lesson 12.7 Measure Length Using Different Metric Units

Solve & Share
Measure this pencil in inches. Then measure it again in centimeters. Which measurement has more units?
I can … measure the length and height of objects using different metric units.
Envision Math Common Core 2nd Grade Answers Topic 12 Measuring Length 71
about _________ inches
about _________ centimeters
Which has more units? ___________

Answer:
about 6 inches,
about 15 centimeters.
Centimeter has more units.

Explanation:
The length of the pencil in inches is about 6 inches and in centimeters, it is about 15 centimeters. So, here centimeter has more units.

Visual Learning Bridge
Envision Math Common Core 2nd Grade Answers Topic 12 Measuring Length 72

Convince Me! Tina measures the length of a room with centimeter rulers. She could find this length with meter sticks. Would Tina need fewer rulers or meter sticks? Explain.
Answer:
Here, centimeters are more because they are smaller.

Guided Practice

Measure each real object using different units. Circle the unit you use more of to measure each object.
Question 1.
Envision Math Common Core 2nd Grade Answers Topic 12 Measuring Length 73
about _________ centimeters
about _________ meters
I use more units of:
centimeters
meters
Answer:
about 200 centimeters,
about 2 meters.
Centimeters are more.

Explanation:
The above image is about 200 centimeters and about 2 meters. Here, centimeters are more.

Question 2.
Envision Math Common Core 2nd Grade Answers Topic 12 Measuring Length 74
about _________ centimeters
about _________ meters
I use more units of:
centimeters
meters
Answer:
about 300 centimeters,
about 3 meters.
Centimeters are more.

Explanation:
The above image is about 300 centimeters and about 3 meters. Here, centimeters are more.

Independent Practice

Measure each real object using different units. Circle the unit you use fewer of to measure each object.
Question 3.
Envision Math Common Core 2nd Grade Answers Topic 12 Measuring Length 75
about _________ meters
about _________ centimeters
I use fewer units of:
centimeters
meters
Answer:
about 200 centimeters,
about 2 meters.
Meters are fewer.

Explanation:
The above image is about 200 centimeters and about 2 meters. Here, meters are fewer.

Question 4.
Envision Math Common Core 2nd Grade Answers Topic 12 Measuring Length 76
about _________ meters
about _________ centimeters
I use fewer units of:
centimeters
meters
Answer:
about 300 centimeters,
about 3 meters.
Meters are fewer.

Explanation:
The above image is about 300 centimeters and about 3 meters. Here, meters are fewer.

Question 5.
Higher Order Thinking Jay measured the height of his bedroom in both centimeters and meters. Did he use fewer units of centimeters or meters? Explain.
Answer:
Meters.

Explanation:
Here, Jay used fewer meters because they are larger units of measurement.

Problem Solving

Solve each problem.
Question 6.
Explain If you had to measure the length of the hallway outside of your classroom, would you use centimeters or meters? Explain.
Answer:
Meters.

Explanation:
We would use meters because they are larger.

Question 7.
Higher Order Thinking A meter stick is about 39 inches long. Is a meter longer or shorter than a yard? Explain.
Answer:

Explanation:
Given that a meter stick is about 39 inches long. Now we will check that meter is longer or shorter than a yard. As we know that 1 foot is 12 inches and for 3 feet it will be 12 × 3 which is 36 inches. And here meter stick is 39 inches, so the meter is longer.

Question 8.
Assessment Practice Estimate the length of a baseball bat in centimeters and meters.
_________ centimeters
________ meters
Which number must be greater? Explain.
Answer:

Question 9.
Assessment Practice Tina measures the length of a jump rope using different units. How will her measurements compare?
Envision Math Common Core 2nd Grade Answers Topic 12 Measuring Length 77
Answer:
Envision-Math-Common-Core-2nd-Grade-Answers-Topic-12-Measuring-Length-77-1

Lesson 12.8 Compare Lengths

Solve & Share
Circle two paths. Estimate which one is longer. How can you check if your estimate is correct?
I can … tell how much longer one object is than another.
Envision Math Common Core 2nd Grade Answers Topic 12 Measuring Length 78
Estimate: The _________ path is longer.
Measure: The __________ path is longer.

Answer:
Estimate: The blue path is longer.
Measure: The blue path is longer.

Explanation:
Here, the blue path is longer.
Envision-Math-Common-Core-2nd-Grade-Answers-Topic-12-Measuring-Length-78-1

Visual Learning Bridge
Envision Math Common Core 2nd Grade Answers Topic 12 Measuring Length 79

Convince Me! How can you find the length of a path that is not straight?

Answer:
Here, we will move the ruler and then we need to add both parts.

Guided Practice

Estimate the length of each path. Then use a centimeter ruler to measure each path.
Question 1.
Envision Math Common Core 2nd Grade Answers Topic 12 Measuring Length 80

Question 2.
Path B
Envision Math Common Core Grade 2 Answer Key Topic 12 Measuring Length 81
Estimate: about _______ cm
Measure: about ________ cm
Answer:
Estimate: about 7 cm.
Measure: about 6 cm.

Explanation:
The estimated length of path B is 7 cm and the measured value is about 6 cm.

Question 3.
Which path is longer?
Answer:
Path A.

Explanation:
From the above paths, Path A is longer than Path B.

Question 4.
How much longer?
about _________ cm longer
Answer:
About 4 cm longer.

Explanation:
In the above, we can see that Path A measured value is about 10 cm and Path B measured value is about 6 cm. So the Path A is 10 – 6 which is 4 cm longer than Path B.

Independent Practice

Estimate the length of each path. Then use a centimeter ruler to measure each path. Compare your estimate and measurement.
Question 5.
Envision Math Common Core Grade 2 Answer Key Topic 12 Measuring Length 82
Estimate: about ________ centimeters
Measure: about __________ centimeters
Answer:
Estimate: about 10 cm.
Measure: about 11 cm.

Explanation:
The estimated length of path C is 10 cm and the measured value is about 11 cm.

Question 6.
Path D
Envision Math Common Core Grade 2 Answer Key Topic 12 Measuring Length 83
Estimate: about ________ centimeters
Measure: about __________ centimeters
Answer:
Estimate: about 8 cm.
Measure: about 7 cm.

Explanation:
The estimated length of path D is 8 cm and the measured value is about 7 cm.

Question 7.
Which path is longer?
Answer:
Path C.

Explanation:
From the above paths, Path C is longer than Path D.

Question 8.
How much longer?
about ________ centimeters longer
Answer:
About 4 cm longer.

Explanation:
In the above, we can see that Path C measured value is about 11 cm and Path D measured value is about 7 cm. So the Path A is 11 – 7 which is 4 cm longer than Path D.

Higher Order Thinking Think about the length of each object. Circle the best estimate of its length.
Question 9.
a key
about l cm
about 6 cm
about 20 cm
Envision Math Common Core Grade 2 Answer Key Topic 12 Measuring Length 84
Answer:
About 6 cm.

Explanation:
Here, the key is about 6 cm.

Question 10.
a pen
about 2 cm
about 4 cm
about 15 cm
Use your estimates to complete:
A pen is about ________ cm than a ________.
Answer:
A pen is about 9 cm than a key.

Explanation:
In the above, we can see that the key is about 6 cm long and the pen is about 15 cm long. So a pen is 15 – 6 which is 9 cm longer than a key.

Problem Solving

Solve each problem.
Question 11.
Explain A path has two parts. The total length of the path is 12 cm. If one part is 8 cm, how long is the other part? Explain.
________ centimeters
Answer:
About 4 cm long.

Explanation:
Given that the total length of the path is 12 cm and one part is 8 cm, so the other part is 12 – 8 which is 4 cm long.

Question 12.
Higher Order Thinking Draw a path with two parts. Measure the length to the nearest centimeter. Write an equation to show the length of your path.
Answer:
The equation is 7 cm + 3 cm = 10 cm.

Explanation:
Here, we have taken a path with two parts Path A and Path B with 7 cm and 3 cm. So the equation will be 7 + 3 = 10 cm.

Question 13.
Higher Order Thinking Beth drew a picture of a bike path. Use tools. Measure the length of the path below. Write the total length.
Envision Math Common Core Grade 2 Answer Key Topic 12 Measuring Length 85
about __________ centimeters
Answer:
The length is about 12 cm.

Explanation:
The length of Beth’s path is 5 + 2 + 5 which is 12 cm.
Envision-Math-Common-Core-Grade-2-Answer-Key-Topic-12-Measuring-Length-85-1

Question 14.
Assessment Practice Measure each path in centimeters.
Envision Math Common Core Grade 2 Answer Key Topic 12 Measuring Length 86
How much longer is Path A than Path B? Show your work.
Answer:
Path A is 2 cm longer than Path B.

Explanation:
In the above image, the length of Path A is 14 cm and the length of Path B is 12 cm. So Path A is 14 – 12 = 2 cm longer than Path B.

Lesson 12.9 Problem Solving

Precision
Solve & Share
Zeke measures the snake and says it is about 4 inches long. Jay says it is about 5 inches long. Who measures the snake more precisely? Measure and explain.
I can … choose tools, units, and methods that help me be precise when I measure.
Envision Math Common Core Grade 2 Answer Key Topic 12 Measuring Length 87
Length: __________

Answer:
The length of the snake is 5 inches long.

Explanation:
Here, Jay measures it more precisely because I measured to check his answer. The length of the snake is 5 inches long.

Thinking Habits
Which unit of measure will I use? Is my work precise?
Envision Math Common Core Grade 2 Answer Key Topic 12 Measuring Length 88

Visual Learning Bridge
Envision Math Common Core Grade 2 Answer Key Topic 12 Measuring Length 89

Convince Me! How does using a string help Anna use precision to measure the worm?

Answer:
Here, the string helps to measure the curves.

Guided Practice

Solve.
Question 1.
Bev measures the crayon and says it is 5 centimeters long. Is her work precise? Explain.
Envision Math Common Core Grade 2 Answer Key Topic 12 Measuring Length 90
Answer:
Yes, Bev’s work is precise.

Explanation:
Yes, Bev’s work is precise. Because we can see the measurement.

Independent Practice

Solve each problem.
Question 2.
Steve uses centimeter cubes. He says the pencil is 9 centimeters long. Is his work precise? Explain.
Envision Math Common Core Grade 2 Answer Key Topic 12 Measuring Length 91
Answer:
No, Steve’s work is not precise.

Explanation:
No, Steve’s work is not precise. Because he left the spaces between the centimeter cubes.

Question 3.
Use a centimeter ruler to measure the pencil yourself. How long is the pencil? Explain what you did to make sure your work is precise.
Answer:
The pencil is 11 cm long.

Explanation:
It is 11 cm long and here we have used a ruler to measure.

Question 4.
Find the difference in the lengths of the paths in inches. Is your answer precise? Explain.
Envision Math Common Core Grade 2 Answer Key Topic 12 Measuring Length 92
Answer:
The difference between the two paths is 3.

Explanation:
The length of Path A is 3 inches and the length of Path B is 6 inches. So the difference between the two paths is 6 – 3 which is 3.

Problem Solving

Performance Task
Shoestring Katie lost a shoestring. The shoestring has the same length as the shoestring at the right. What is the length of the shoestring Katie lost?
Envision Math Common Core Grade 2 Answer Key Topic 12 Measuring Length 93

Question 5.
Make Sense Estimate the length of the shoestring in the picture. Explain how your estimate helps you measure.
Answer:
The length of the shoelace is 15 cm.

Explanation:
The estimation of each part of the shoelace is to be 5 cm. So the total will be 15 cm.

Question 6.
Use Tools What tools can you use to measure the shoestring? Explain.
Answer:
Here, we can use a string to measure the shoestring.

Question 7.
Be Precise Measure the shoestring. Tell why your work is precise.
Answer:
Here, we have measured 30 cm with the string and then we measure the string on the ruler.

Topic 12 Fluency Practice Activity

Find a Match
Find a partner. Point to a clue. Read the clue.
Look below the clues to find a match. Write the clue letter in the box next to the match. Find a match for every clue.
I can … add and subtract within 100.
Clues
A. The sum is between 47 and 53.
B. The difference equals 56 – 20.
C. The sum equals 100.
D. The difference equals 79 – 27.
E. The difference is between 25 and 35.
F. The sum equals 41 + 56.
G. The difference is less than 20.
H. The sum equals 26 + 19.
Envision Math Common Core Grade 2 Answer Key Topic 12 Measuring Length 94

Answer:
A. The sum is between 47 and 53 is 100 which is 56 + 44 is 100.
B. The difference equals 56 – 20 = 36 which is 60 – 24 is 36.
C. The sum equals 100 which is 56 + 44 is 100.
D. The difference equals 79 – 27 is 52 which is 81 – 29 is 52.
E. The difference is between 25 and 35 is 10.
F. The sum equals 41 + 56 is 97 which is 32 + 65 is 97.
G. The difference is less than 20 is 47 – 31 is 16.
H. The sum equals 26 + 19 is 45 which is 34 + 11 is 45.
Envision-Math-Common-Core-Grade-2-Answer-Key-Topic-12-Measuring-Length-94-1

Topic 12 Vocabulary Review

Understand Vocabulary
Word List
• centimeter (cm)
• estimate
• foot (ft)
• height
• inch (in.)
• length
• meter (m)
• nearest centimeter
• nearest inch
• yard (yd)

Question 1.
Circle the unit that has the greatest length.
foot
meter
inch
Answer:

Question 2.
Circle the unit that has the shortest length.
yard
inch
centimeter
Answer:

Question 3.
Cross out the unit you would NOT use to measure the length of a book.
inch
centimeter
yard
Answer:

Question 4.
Cross out the unit you would NOT use to measure the height of a house.
inch
foot
meter
Answer:

Estimate the length of each item.
Question 5.
pencil
_________
Answer:

Question 6.
paper clip
_________
Answer:

Question 7.
school desk
__________
Answer:

Use Vocabulary in Writing
Question 8.
Use words to tell how to find the height of a table. Use terms from the Word List.
Answer:

Topic 12 Reteaching

Set A

There are 12 inches in I foot. There are 3 feet in I yard. You can use lengths of objects you know to estimate lengths of other objects.
Envision Math Common Core Grade 2 Answer Key Topic 12 Measuring Length 95

Estimate the lengths of two classroom objects in feet. Name each object and write your estimate.
Question 1.
Object: __________
about ____ feet
Answer:
Object: Window
About 6 feet.

Explanation:
The estimated value of the window is 6 feet and the sink is 2 feet.

Question 2.
Object: ____________
about ________ feet
Answer:
Object: Sink
About 2 feet.

Explanation:
The estimated value of the sink is 2 feet.

Set B

You can measure the length of an object to the nearest inch.
Envision Math Common Core Grade 2 Answers Topic 12 Measuring Length 96
The string is longer than halfway between 1 and 2.
So, use the greater number.
The string is about 2 inches.

Find objects like the ones shown. Use a ruler to measure their lengths.
Question 3.
Envision Math Common Core Grade 2 Answers Topic 12 Measuring Length 97
about _______ inches
Answer:
About 5 inches.

Explanation:
The length of the object is about 5 inches.

Question 4.
Envision Math Common Core Grade 2 Answers Topic 12 Measuring Length 98
about _______ inches
Answer:
About 3 inches.

Explanation:
The length of the object is about 3 inches.

Set C

The measure of the height of a window takes more units of feet than yards.
Envision Math Common Core Grade 2 Answers Topic 12 Measuring Length 99

Measure the real object in inches and feet. Circle the unit you needed more of.
Question 5.
Envision Math Common Core Grade 2 Answers Topic 12 Measuring Length 100
about ________ feet
about ______ yard

Answer:
Feets are more.

Explanation:
The measurement of the object is about 3 feet and about 1 yard. Here, feets are more.

Set D

You can measure the length of an object to the nearest centimeter.
Envision Math Common Core Grade 2 Answers Topic 12 Measuring Length 101
The paper clip is less than halfway between 3 and 4.
So, use the lesser number.
The paper clip is about 3 cm.

Find real objects like the ones shown. Use a ruler to measure their lengths.
Question 6.
Envision Math Common Core Grade 2 Answers Topic 12 Measuring Length 102
about _________ cm
Answer:
About 16 cm.

Explanation:
The measurement of the object is about 16 cm.

Question 7.
Envision Math Common Core Grade 2 Answers Topic 12 Measuring Length 103
about _________ cm
Answer:
About 7 cm.

Explanation:
The measurement of the object is about 7 cm.

Set E

Reteaching Continued

There are 100 centimeters in 1 meter.
Envision Math Common Core Grade 2 Answers Topic 12 Measuring Length 104

Circle the picture of the real object that is about each length or height.
Question 8.
about 1 centimeter
Envision Math Common Core Grade 2 Answers Topic 12 Measuring Length 105
Answer:
The height of the pen is about 1 centimeter.

Explanation:
The height of the pen is about 1 centimeter.
Envision-Math-Common-Core-Grade-2-Answers-Topic-12-Measuring-Length-105-1

Question 9.
about 1 meter
Envision Math Common Core Grade 2 Answers Topic 12 Measuring Length 106
Answer:
The length of the belt is about 1 meter.

Explanation:
The length of the belt is about 1 meter.
Envision-Math-Common-Core-Grade-2-Answers-Topic-12-Measuring-Length-106-1

Set F

The measure of the height of this cart takes fewer units of meters than centimeters.
Envision Math Common Core Grade 2 Answers Topic 12 Measuring Length 107
about 93 centimeters
about 1 meters

Measure the real object in centimeters and meters. Circle the unit you needed fewer of.
Question 10.
Envision Math Common Core Grade 2 Answers Topic 12 Measuring Length 108
about ________ centimeters
about _______ meters
Answer:
About 200 centimeters,
About 2 meters.

Explanation:
The length of the door is about 200 centimeters and about 2 meters. So it is fewer in meters.

Set G

Which path is longer? How much longer? Measure each part. Then add the lengths.
Envision Math Common Core Grade 2 Answers Topic 12 Measuring Length 109
Subtract the lengths to compare.
6 – 5 = 1
The purple path is about 1 centimeter longer.

Use a centimeter ruler. Measure each path.
Envision Math Common Core Grade 2 Answers Topic 12 Measuring Length 110
Question 11.
Red path: ________ centimeters
Answer:
9 centimeters.

Explanation:
The red path is 9 centimeters.

Question 12.
Blue path: ________centimeters
Answer:
7 centimeters.

Explanation:
The blue path is 7 centimeters.

Question 13.
Which path is longer?
_________
How much longer is it?
about _________ centimeters longer
Answer:
Red path.

Explanation:
The longer path is the red path and 9 – 7 = 2 centimeters longer.

Set H

Thinking Habits
Attend to Precision Which unit of measure will I use? Is my work precise?
Envision Math Common Core Grade 2 Answers Topic 12 Measuring Length 111

Question 14.
Measure the length of the bottom of this page in feet and in inches.
about _______ ft
about ________ in.
Answer:
about 1 ft
about 10 in.

Explanation:
The length of the bottom of this page in feet is about 1 foot and in inches, it is about 10 inches.

Question 15.
Which measure in Item 14 is more precise? Explain.
Answer:
Here, 10 inches is more precise because it is the exact measurement.

Topic 12 Assessment Practice

Question 1.
Estimate. About how tall is the flower?
Envision Math Common Core Grade 2 Answers Topic 12 Measuring Length 112
A. about 5 cm
B. about 10 cm
C. about 15 cm
D. about 1 meter
Answer:
B.

Explanation:
The flower is about 10 cm.

Question 2.
Draw a line from each estimate to a matching object.
Envision Math Common Core Grade 2 Answers Topic 12 Measuring Length 113
about 1 yard
about 1 foot
about 1 inch
Answer:
The shoe is about 1 foot.
The coin is about 1 inch.
The ribbon is about 1 yard.

Question 3.
Which units would you need the fewest of to measure the height of a fence?
A. inches
B. feet
C. yards
D. all the same
Answer:
C.

Explanation:
The fewest of to measure the height of a fence is yards.

Question 4.
Dan measures the width of a window with answer precise? Explain.
Envision Math Common Core Grade 2 Answers Topic 12 Measuring Length 114
Answer:
No, Dan’s answer was not precise.

Explanation:
No, Dan’s answer was not precise. Because he didn’t mention the measurements.

Question 5.
Use a ruler to measure each line to the nearest centimeter. Which are about 3 centimeters long? Choose all that apply.
Envision Math Common Core Grade 2 Answers Topic 12 Measuring Length 115
Answer:
Option 1.

Explanation:
The first option is about 3 centimeters long.

Question 6.
Use a ruler to measure the length of the pencil in inches. Which is the correct measurement?
A. 2 inches
B. 3 inches
C. 4 inches
D. 5 inches
Answer:
B.

Explanation:
The pencil is 3 inches long.

Question 7.
Circle the unit you need fewer of to measure the length of a kitchen.
centimeters
meters
Circle the unit you need fewer of to measure the length of a table.
feet
yards
Answer:
Fewer meters.
Fewer yards.

Explanation:
The length of the kitchen is fewer meters.
The length of the table os fewer yards.

Question 8.
Use a ruler. Measure each path to the nearest inch.
Envision Math Common Core Grade 2 Answers Topic 12 Measuring Length 116
Which path is longer? ________
How much longer? about ________ longer
Answer:
Path B.

Explanation:
In the above image path B is longer and 4 – 3 = 1 inch longer.

Question 9.
Use a ruler. Measure the length of the marker to the nearest centimeter. How long is the marker?
Envision Math Common Core Grade 2 Answers Topic 12 Measuring Length 117
A. 6 centimeters
B. 9 centimeters
C. 12 centimeters
D. 15 centimeters
Answer:
9 centimeters.

Explanation:
The length of the marker to the nearest centimeter is 9 centimeters.

Question 10.
A path has two parts. The total length of the path is 15 cm. One part of the path is 9 cm long. How long is the other part?
A. 24 cm
B. 15 cm
C. 9 cm
D. 6 cm
Answer:
D.

Explanation:
Given that total length is 15 cm and one part is 9 cm long, so the length of the other part is 15 – 9 which is 6 cm.

Question 11.
Use a ruler. Measure each path to the nearest centimeter.
Envision Math Common Core Grade 2 Answers Topic 12 Measuring Length 118
Which path is longer? ________
How much longer?
about _________ longer.
Answer:
PAth A, 2 cm longer.

Explanation:
The longer path  is PAth A and 8 – 6 which is 2 cm longer.

Question 12.
Measure the gray line with tools you need to be precise. Choose all the measurements that are precise.
Envision Math Common Core Grade 2 Answers Topic 12 Measuring Length 119
☐ 4 centimeters
☐ 4 inches
☐ 10
☐ 10 centimeters
☐ 4
Answer:
4 inches,
10 centimeters.

Explanation:
The gray line with tools we need to be precise the measurements is 4 inches and 10 centimeters.

Question 13.
Juan uses different units to measure a jump rope. Compare the measurements. Choose all that apply.
Envision Math Common Core Grade 2 Answers Topic 12 Measuring Length 120
☐ more inches than feet
☐ fewer centimeters than meters
☐ fewer inches than feet
☐ more yards than feet
☐ more centimeters than meters
☐ fewer yards than feet
Answer:
Option A and Option E.

Explanation:
The measurements that apply are more inches than feet and more centimeters than meters.

Question 14. What is the length of the crayon to the nearest centimeter? What would be the combined length of two crayons?
Envision Math Common Core Grade 2 Answers Topic 12 Measuring Length 121
The crayon is _________ centimeters.
Two crayons would measure ________ centimeters.
Answer:
The crayon is 4 centimeters.
Two crayons would measure 8 centimeters.

Explanation:
The length of the crayon to the nearest centimeter is 4 cm and the measurement of the two caryons will be 4 + 4 which is 8 cm.

Question 15.
Kim’s softball bat is 1 yard long. She uses 3 bats to measure the length of the classroom whiteboard. About how long is the whiteboard?
Envision Math Common Core Grade 2 Answers Topic 12 Measuring Length 122
A. 3 inches
B. 3 feet
C. 1 yard
D. 3 yards
Answer:
3 yards.

Explanation:
The length of the whiteboard is 3 yards.

Question 16.
Kevin measured the length of a car in inches and in feet. Why is the number of feet less than the number of inches?
Envision Math Common Core Grade 2 Answers Topic 12 Measuring Length 123
Answer:
Feets are larger than inches.

Explanation:
Here, feets are larger than inches so we need fewer of them.

Topic 12 Performance Task

Happy Hiking! The Torres family loves to hike. They use this map to plan their hiking trip.
Envision Math Common Core Grade 2 Answers Topic 12 Measuring Length 124

Question 1.
Use a centimeter ruler.
Find the total length of the triangle hiking path shown on the map.
about ________ centimeters
Explain how you found the length.
Answer:

Question 2.
Debbie Torres uses a backpack for hiking. She wants to measure its width. She wants to be precise. Should she use inches, feet, or yards? Explain your answer.
Envision Math Common Core Grade 2 Answers Topic 12 Measuring Length 125
Answer:

Question 3.
Daniel Torres estimates the height of his water bottle. Is his estimate reasonable? Explain.
Envision Math Common Core Grade 2 Answers Topic 12 Measuring Length 126
Answer:

Explanation:

Question 5.
On the hike, the Torres family sees a caterpillar. Use the picture below to answer the questions.
Envision Math Common Core Grade 2 Answers Topic 12 Measuring Length 127
Part A
To be precise, which unit would you choose to measure the length of the caterpillar? Explain.

Answer:
The unit we will choose to measure the length of the caterpillar is centimeter.

Explanation:
The unit we will choose to measure the length of the caterpillar is centimeter, because if we choose a unit that is too small then we will get a larger number that is harder to keep track.

Part B
Estimate and then measure the length of the caterpillar. Then explain how you measured.
Estimate: ___________
Measurement: ___________
Answer:
Estimate: 5 centimeters.
Measurement: 4 centimeters.

Explanation:
The lenth of the caterpillar is 4 centimeters and it was measured by using ruler.

Question 4.
Maria Torres says that it would take more units of yards than feet to measure the height of the tower. Do you agree? Circle Yes or No. Explain.
Yes
No
Answer:
No, Maria Torres is not correct.

Explanation:
No, Maria Torres is not correct. As the height of the tower is measured in feet.

Envision Math Grade 6 Answer Key Topic 2 Test Prep

Envision Math 6th Grade Textbook Answer Key Topic 2 Test Prep

Test Prep

Question 1.
Tickets cost $30 each plus a one-time $2 postage fee. Which expression shows the cost for n tickets? (2-1)
A. 30n + 2
B. 30n – 2
C. 30(n + 2)
D. 30 + 2n
Answer:
A. 30n + 2
Explanation:

Question 2.
Luis bought 5 boxes of ceramic tiles with 20 tiles in each. Each tile covers 36 square inches. Use mental math to evaluate 20 x 36 x 5 and find the total square inches. (2-5)
A. 1,360
B. 3,600
C. 7,200
D. 9,000
Answer:
B. 3,600
Explanation:

Question 3.
What number makes the number sentence true? (2-5)
4 × 8 × 25 = 100 × ☐
A. 200
B. 32
C. 25
D. 8
Answer:
D. 8
Explanation:

Question 4.
At the Jacovic family reunion, 42 tables each had 6 people. To find the number of people, Ivan did the computation shown below. What number makes the number sentence true? (2-4)
6(40 + 2) = 240 + ☐
A. 62
B. 42
C. 14
D. 12
Answer:
D. 12
Explanation:

Question 5.
What is the value of the expression in the table when m = 6? (2-6)
Envision Math 6th Grade Textbook Answers Topic 2 Test Prep 1
A. 24
B. 26
C. 44
D. 52
Answer:
B. 26
Explanation:

Question 6.
Large balloons are sold in packages of 12. Which expression can represent the total number of balloons in a packages of large balloons? (2-1)
A. 12a
B.12 ÷ a
C. a + 12
D. 12 + a
Answer:
A. 12a
Explanation:

Question 7.
Which algebraic expression can be used to describe the output pattern in the table if the input is a variable p? (2-7)
Envision Math 6th Grade Textbook Answers Topic 2 Test Prep 2
A. p + 14
B. 2p
C. 8p
D. p ÷ 9
Answer:
8p
Explanation:

Question 8.
Use the expression shown to find how many people attended the field trip. (2-3)
15 × 4 + 10 × 5
A. 110
B. 350
C. 810
D. 1,050
Answer:
A. 110
Explanation:

Question 9.
Which of the following shows a way to find 127 + 396 using compensation? (2-5)
A. 127 + 400 + 4
B. 127 – 400 + 4
C. 127 – 400 – 4
D. 127 + 400 – 4
Answer:
D. 127 + 400 – 4
Explanation:

Question 10.
Alita sells necklaces for $3 each. She spent $14 on supplies. The expression 3x – 14 can be used to find the amount Alita earns for selling x necklaces. How much will Alita earn if she sells 12 necklaces? (2-6)
A. $36
B. $24
C. $22
D. $6
Answer:
C. $22
Explanation:

Question 11.
The expression shown below can be used to find the total cost of violin lessons for a year. What is the first step to evaluate the expression? (2-3)
25 + 14 × (52 – 6)
A. Add 25 + 14.
B. Multiply 14 × 52.
C. Subtract 52 – 6.
D. Multiply 14 × 6.
Answer:
C. Subtract 52 – 6.
Explanation:

Question 12.
Which property is shown below? (2-2)
2 × 32 × 5 = 2 × 5 × 32
A. Associative Property of Multiplication
B. Commutative Property of Multiplication
C. Identity Property of Multiplication
D. Multiplication Property of Zero
Answer:
B. Commutative Property of Multiplication
Explanation:

Question 13.
If the input number is 20 in the table shown, what is the output number? (2-7)
Envision Math 6th Grade Textbook Answers Topic 2 Test Prep 3
A. 26
B. 24
C. 22
D. 18
Answer:
A. 26
Explanation:

Question 14.
A machine can make 375 bales of hay in 3 hours. At this rate, how long does it take the machine to make 875 bales of hay? (2-8)
Envision Math 6th Grade Textbook Answers Topic 2 Test Prep 4
A. 9 hours
B. 8 hours
C. 7 hours
D. 6 hours
Answer:

Envision Math Grade 6 Answer Key Topic 2.2 Properties of Operations

Envision Math 6th Grade Textbook Answer Key Topic 2.2 Properties of Operations

Properties of Operations

How can you use properties of operations to rewrite expressions?
Answer:
The Commutative Property of Addition states the order in which numbers are added does not change the sum of the numbers. The Commutative Property of Multiplication states the order in which numbers are multiplied does not change the product of the numbers.
Envision Math 6th Grade Answer Key Topic 2.2 Properties of Operations 1

Guided Practice

Do you know HOW?
Find each missing number.Tell what property is shown.
Question 1.
19 + (42 + 8) = (☐ + 42) + 8
Answer:
19; Associative Property of Addition
Explanation:

Question 2.
12 + 8 = ☐ +12
Answer:
8; Commutative Property of Addition
Explanation:

Properties of Operations 1

Question 3.
42 × 8 × 3 = 42 × 8 × ☐ × 3
Answer:
1; Identity Property of Multiplication
Explanation:

Question 4.
32 × 85 = 85 × ☐
Answer:
32; Commutative Property of Multiplication
Explanation:

Do you UNDERSTAND?
Question 5.
For the Identity Property, why does addition involve a zero and multiplication involve a one? Why don’t they both use one or both use zero?
Answer:
See margin.
Explanation:

Question 6.
Yuen Lee put 3 cartons of markers in the closet. Each carton contains 3 rows of 7 boxes. Use one of the Associative Properties to show two different ways of finding the number of marker boxes.
Answer:
(3 × 3) × 7; 3 × (3 × 7)
Explanation:

Independent Practice

Find each missing number. Tell what property or properties are shown.
Answer:
See margin.
Explanation:

Question 7.
☐ × (14 × 32) = (5 × 14) × 32
Answer:

Question 8.
5 + 23 + 4 = 23 + 4 + ☐
Answer:

Question 9.
25 + 0 + (3 + 16) = (25 + ☐) + 3
Answer:

Question 10.
(7 + 1 2) + 4 = (7 + ☐) + 12
Answer:

Question 11.
(5 × 7) (3 × 8) = (5 × 3) × (8 × ☐)
Answer:

Question 12.
(43 × 1) × 4 = ☐ × 43
Answer:

Question 13.
(6 + 3) + 4 = 6 + (3 + ☐)
Answer:

Question 14.
(8 × 9) × ☐ = 8 × (9 × 10)
Answer:

Properties of Operations 2

Question 15.
7 × ☐ = 6 × 7
Answer:

Question 16.
15 + 48 = ☐ + 15
Answer:

Question 17.
8 + ☐ = 4 + 8
Answer:

Question 18.
(1 × 2) × 3 = ☐ × (2 × 3)
Answer:

The Associative Property of Addition states that the way numbers are grouped does not affect the sum.
a + (b + c) = (a + b) + c
2 + (8 + 10) = (2 + 8) + 10
The Associative Property of Multiplication states that the way numbers are grouped does not affect the product.
a × (b × c) = (a × b) × c
2 × (4 × 5) = (2 × 4) × 5
The Identity Property of Addition states that adding zero to a number does not change the number.
a + 0 = a
24 + 0 = 24
The Identity Property of Multiplication states that the product of a number and one is that number.
a × 1 × a
36 × 1 × 36

Find each missing number. Tell what property or properties are shown.
Question 19.
(41 × 43) × (3 × 19) = (41 × ☐) × (19 × 43)
Answer:

Question 20.
(5 × 3) × ☐ = 5 × (8 × 3)
Answer:

Question 21.
328 × 1 = ☐
Answer:

Question 22.
(12 + 0) × (1 × 12) = ☐ × ☐
Answer:

Problem Solving
For 23 and 24, use the table to the right.
Envision Math 6th Grade Answer Key Topic 2.2 Properties of Operations 2
Question 23.
Donnie and Pete live in Coldwater. They rode their bikes to Blanco and then to Pulga. Then they rode back home, using the same route. Write a number sentence using the Commutative Property of Addition to show the distances they rode each way.
Answer:

Question 24.
Once they rode from Pulga to Littleville, from Littleville to Zion, and then rode back to Pulga. How many miles did they ride that time?
Answer:

Question 25.
Think About the Proces Stage 15 of the Tour de France bicycle race includes legs from Gap to Embrun, Embrun to Guillestre, and Guillestre to Arvieux. One way to express these legs is 33.5 + (20.5 + 21.5). Which expression below is another way to express these legs?
A. (23 + 33.5) + (20.5 – 21.5)
B. (33.5 + 20.5) + 21.5
C. 33.5 + (20.5 × 21.5)
D. (33.5 × 21.5) + 20.5
Answer:

Question 26.
Write the standard form for 6.45 billion.
Answer:

Question 27.
Writing to Explain Can you use the Associative Property with subtraction and division? Use (14 – 8) – 2 and 24 o (4 o 2) to explain.
Answer:

Envision Math Grade 6 Answer Key Topic 1 Reteaching

Envision Math 6th Grade Textbook Answer Key Topic 1 Reteaching

Reteaching

Set A, pages 4–6

Write different forms of the number 82,700,360,000,000 and tell the place and value of the digit 6.
Word form: eighty-two trillion, seven hundred billion, three hundred sixty million
Expanded form: (8 × 10,000,000,000,000) + (2 × 1,000,000,000,000) + (7 × 100,000,000,000) + (3 × 100,000,000) + (6 × 10,000,000)
The 6 is in the ten millions place.
Its value is 6 × 10,000,000 = 60,000,000.

Remember to start at the right and work your way left to each period when finding the place and value of a whole number digit. Periods are groups of three digits separated by commas.
In 1 through 6, what is the place and value of the underlined digit?
Question 1.
327,018
Answer:

Question 2.
19,345
Answer:

Question 3.
71,329,684
Answer:

Question 4.
6,291,378
Answer:

Question 5.
632,109,874
Answer:

Question 6.
7,263
Answer:

Reteaching 1

Set B, pages 8–9

Use > or < to compare the two whole numbers.
728,316 ◯ 728,361
Compare the digits in each place.
Envision Math Grade 6 Answer Key Topic 1 Reteaching 1
So, 728,316 < 728,361.

Remember when you compare two whole numbers, line them up so their place values align and then compare their digits from left to right.
Use < or > to compare 1 through 4.
Question 1.
69,354 _____ 69,435
Answer:
69,354 Envision Math Grade 6 Answer Key Topic 1 Reteaching 2 69,435
Explanation:

Question 2.
27,461,398 ______ 27,164,398
Answer:
27,461,398 Envision Math Grade 6 Answer Key Topic 1 Reteaching 3 27,164,398
Explanation:

Question 3.
eighteen trillion ______ 18,000,001
Answer:
eighteen trillion Envision Math Grade 6 Answer Key Topic 1 Reteaching 3 18,000,001
Explanation:

Question 4.
527 thousand ______ 527,001
Answer:
527 thousand Envision Math Grade 6 Answer Key Topic 1 Reteaching 2 527,001
Explanation:

Set C, pages 10–12

Evaluate 63.
6 is the base and 3 is the exponent.
6 is used as a factor 3 times.
6 × 6 × 6 = 216
Write 29,654 in expanded form using
exponents. (2 × 104) = (9 × 103) = (6 × 102) = (5 × 101) = (4 × 100)

Remember that any base number, except zero, with an exponent of 0 has a value of 1.

Evaluate 1 through 3.
Question 1.
92
Answer:
81
Explanation:

Question 2.
991
Answer:
99
Explanation:

Question 3.
3,1050
Answer:
1
Explanation:

Question 4.
Write6,209inexpandedform using exponents.
Answer:
(6 × 103) + (2 × 102) + (9 × 100)
Explanation:

Set D, pages 14-16

Envision Math Grade 6 Answer Key Topic 1 Reteaching 4
Write the place and value of the underlined digit in 2.0795.
The 7 is in the hundredths place.
Its value is 7 × 0.01 = 0.07.

Remember to pay attention to the decimal point and zeros when determining the place and value of a decimal digit.
What is the place of the underlined digit?
Question 1.
17.903
Answer:
thousandths
Explanation:

Question 2.
28.1
Answer:
tenths
Explanation:

Question 3.
68.0009
Answer:
ten thousandths
Explanation:

Question 4.
94.002
Answer:
ones
Explanation:

Set E, pages 18-19

Use <, >, or = to compare the two decimals.
37.106 ◯ 37.110
Compare the digits in each place. The digits are the same until the hundredths place.
37.106
37.110
0 < 1,
so 37.106 < 37.110.

Remember that when you compare decimals, line up their decimal points and then compare their digits from left to right.
Use <, >, or = to compare the two decimals.
Question 1.
95.17 _____ 95.71
Answer:
95.17 Envision Math Grade 6 Answer Key Topic 1 Reteaching 2 95.71
Explanation:

Question 2.
0.74 ______ 0.7400
Answer:
0.74 Envision Math Grade 6 Answer Key Topic 1 Reteaching 5 0.7400
Explanation:

Question 3.
37 _____ 0.37
Answer:
37 Envision Math Grade 6 Answer Key Topic 1 Reteaching 3 0.37
Explanation:

Question 4.
224.9 ______ 224.92
Answer:
224.9 Envision Math Grade 6 Answer Key Topic 1 Reteaching 2 224.92

Set F, pages 20-21

Elise, Jasmine, Fatima, and Nola want to jump rope at recess. In how many ways can the girls be paired to twirl the rope?
Make an organized list. Choose one of the girls. Find the possible pairs, keeping that girl fixed. Repeat with each girl. Then cross out any repeated pairs.
Envision Math Grade 6 Answer Key Topic 1 Reteaching 6
6 possible pairs of girls can twirl the rope.

Remember to keep each item fixed and find all the possible combinations for that item.
Question 1.
Heyden’s mom bought peaches, pears, bananas, apples, and grapes. How many ways can Heyden combine the fruit so he has two different pieces of fruit in his lunch, without repeating any combinations?
Answer:
10
Explanation:

Question 2.
How many three-letter combinations can be made from the letters in the word “MATH”?
Answer:
24
Explanation:

Envision Math Grade 6 Answer Key Topic 1.4 Decimal Place Value

Envision Math 6th Grade Textbook Answer Key Topic 1.4 Decimal Place Value

Decimal Place Value

How can you read very small decimal numbers? One gallon equals 3.7854 liters. How do you read this number?
Answer:
A decimal is a number that uses a decimal point and has one or more digits to the right of the decimal point.
Envision Math 6th Grade Textbook Answers Topic 1.4 Decimal Place Value 1

Another Example
What are different ways to write decimals?
Answer:
The atomic mass of the chemical chromium is 51.9961.
Use a place-value chart to write the decimal in different forms.
Envision Math 6th Grade Textbook Answers Topic 1.4 Decimal Place Value 2
Standard form: 51.9961
Short-word form: 51 and 9,961 ten thousandths
Word form: fifty-one and nine thousand nine hundred sixty-one ten thousandths
Expanded form: (5 × 10) + (1 × 1) + (9 × 0.1) + (9 × 0.01) + (6 × 0.001) + (1 × 0.0001) = 50 + 1 + 0.9 + 0.09 + 0.006 + 0.0001

Explain It

Question 1.
What is the purpose of the decimal point in a decimal number?
Answer:
It separates the whole number portion of the number from the decimal portion of the number.
Explanation:

Question 2.
If the first digit to the right of the decimal were removed from the number above, how would you write it in different forms?
Answer:
51.0961; 51 and 961 ten thousandths; fifty-one and nine hundred sixty-one ten thousandths; (5 × 10) + (1 × 1) + (9 × 0.01) + (6 × 0.001) + (1 × 0.0001) = 50 + 1 + 0.09 + 0.006 + 0.0001
Explanation:

Use a place-value chart to help you read a decimal.
Envision Math 6th Grade Textbook Answers Topic 1.4 Decimal Place Value 3
Short-word form: 3 and 7,854 ten thousandths
Standard form: 3.7854

Guided Practice

Do you know HOW?
In 1 through 4, write the place and value of the underlined digit.
Answer:
See margin.
Explanation:

Question 1.
17.001
Answer:

Grade 6 Answer Key Topic 1.4 Decimal Place Value

Question 2.
987.6542
Answer:

Question 3.
14.9284
Answer:

Question 4.
7.2916
Answer:

In 5 through 7, write the number in the form indicated.
Answer:
See margin.
Explanation:

Question 5.
1.5629 in word form
Answer:

Question 6.
568.0101 in short-word form
Answer:

Question 7.
27.6003 in expanded form
Answer:

Do you UNDERSTAND?
Question 8.
How do you use a decimal point to read and write very small numbers?
Answer:
See margin.
Explanation:

Question 9.
In the example at the top of the page, how do you know that 0.005 is the value of the digit 5?
Answer:
See margin.
Explanation:

Question 10.
What is the decimal portion of 63.029? What is the whole number portion?
Answer:
See margin.
Explanation:

Independent Practice

Tips: All digits to the left of the decimal point are whole numbers, and all digits to the right of the decimal point are decimals.

Write the place and value of the underlined digit.
Question 11.
1,957.01
Answer:
hundredths; 0.01
Explanation:

Question 12.
647.476
Answer:
thousandths; 0.006
Explanation:

Grade 6 Answer Key Topic 1.4 Decimal Place Value 2

Question 13.
84.48
Answer:
tenths; 0.4
Explanation:

Question 14.
327.0094
Answer:
hundredths; 0
Explanation:

Question 15.
0.0521
Answer:
thousandths; 0.002
Explanation

Question 16.
78.667
Answer:
tenths; 0.6
Explanation

Question 17.
3.016
Answer:
ones; 3
Explanation:

Question 18.
8.5914
Answer:
ten thousandths; 0.0004
Explanation:

Independent Practice

Use the place-value chart to answer 19 through 23.
Envision Math 6th Grade Textbook Answers Topic 1.4 Decimal Place Value 4
Question 19.
What is the place value of the last digit?
Answer:
Ten thousandths
Explanation:

Question 20.
From left to right, what is the value Ten thousandths of the second 8 in the number?
Answer:
0.0008
Explanation:

Question 21.
How would you write the number in short-word form?
Answer:
22 and 9,808 ten thousandths
Explanation:

Question 22.
How would you write the number in word form?
Answer:
See margin.
Explanation:

Question 23.
How would you write the number in expanded form?
Answer:
(2 × 10) + (2 × 1) + (9 × 0.1) + (8 × 0.01) + (8 × 0.0001)

Problem Solving

Question 24.
Number Sense Write a decimal that has the digit 9 in the tenths place and happen if you removed the decimal the ten-thousandths place.
Answer:
Sample answer: 1.9009
Explanation:

Question 25.
Writing to Explain What would point from a number?
Answer:
The number would become a whole number, and its value would be greater.
Explanation:

Use this data table to answer items 26 through 29.
Envision Math 6th Grade Textbook Answers Topic 1.4 Decimal Place Value 5

Question 26.
Number Sense Which place do you use to tell that the new record is faster?
A. tens
B. tenths
C. hundreds
D. thousandths
Answer:
B. tenths
Explanation:

Question 27.
Which is the word form of the new record?
A. one hundred fifty-four and one hundred sixty-five thousandths
B. one hundred fifty-four and twenty-five thousandths
C. one hundred fifty-four and twenty-five hundredths
D. one hundred fifty-four
Answer:
C. one hundred fifty-four and twenty-five hundredths
Explanation:

Question 28.
Think About the Process Which expression tells how to find how much faster the new record was?
A. 154.165 + 154.25
B. 154.25 – 154.165
C. 154.165 × 154.25
D. 154.25 ÷ 154.165
Answer:
B. 154.25 – 154.165
Explanation:

Question 29.
Writing to Explain Explain why writing the new record as 154.250 mph does not change its value.
Answer:
Sample answer: The 0 in the thousandths place has a value of 0.
Explanation:

Mixed Problem Solving

Envision Math 6th Grade Textbook Answers Topic 1.4 Decimal Place Value 6

Use the table above to answer 1 through 3.
Question 1.
Write the height of an adult grizzly bear in short-word form.
Answer:
2 and 1 tenth
Explanation:

Question 2.
Write the length of an adult grizzly bear’s claw length in expanded form.
Answer:
(1 × 10) + (1 × 0.1) + (6 × 0.01)
Explanation:

Question 3.
If newborn grizzlies weigh about 0.45 kg, how many kilograms do grizzly bears gain from the time they are newborn until they are adults?
Answer:
681.37 kg
Explanation:

Question 4.
Answer:
If a bear ran at a speed of 54.078 km/h, then increased its speed two-hundredths of a kilometer per hour, how fast would it be running?
Answer:
54.098 km/h
Explanation:

Question 5.
The grizzly bear disappeared from the state of California in 1922. How many years before 2009 did the grizzly disappear?
Answer:
87 years
Explanation:

Question 6.
The female grizzly has one to four cubs every other year. If a female has four cubs every other year for 12 years, how many cubs would she have given birth to?
Answer:
24 cubs
Explanation:

Question 7.
If one cub weighed 0.45 kg and another cub weighed 1.23 kg, how much more would the heavier cub weigh than the lighter one?
Answer:
0.78 kg
Explanation:

Envision Math Grade 6 Answer Key Topic 1.1 Place Value

Envision Math 6th Grade Textbook Answer Key Topic 1.1 Place Value

Review What You Know

Vocabulary
Choose the best term from the box,
Envision Math Grade 6 Answers Topic 1.1 Place Value 1
Question 1.
A period placed in a number to separate whole number values from values less than one is called a ? .
Answer:
decimal point
Explanation:

Question 2.
The value of the position of any digit in a number is called its ? .
Answer:
place
Explanation:

Question 3.
The symbols used to write numbers 0, 1,2 3, 4, 5, 6, 7, 8, and 9 are ? .
Answer:
digits
Explanation:

Place Value 1

Writing Numbers
Write each word form in standard form.
Question 4.
nineteen
Answer:
19
Explanation:

Question 5.
thirty-seven
Answer:
37
Explanation:

Question 7.
two thousand twelve
Answer:
2,012
Explanation:

Question 8.
forty thousand
Answer:
40,000
Explanation:

Question 9.
one hundred thousand
Answer:
100, 000
Explanation:

Write the word form of each number.
Answer:
See margin
Explanation:

Question 10.
49
Answer:

Question 11.
112
Answer:

Question 12.
10,465
Answer:

Decimals
Writing to Explain Write an answer for the question.
Envision Math Grade 6 Answers Topic 1.1 Place Value 2
Question 13.
How would you locate 3.33 on the number line? Explain.
Answer:
See margin.
Explanation:

Place Value

How can you read very large numbers?
Answer:
In astronomy, a light-year is the distance that light can travel in one year. One light-year is equal to about 9,500,000,000,000 kilometers. Use a place-value chart to help you find the value of the digit 9 and read the number.
Envision Math Grade 6 Answers Topic 1.1 Place Value 3

Another Example
What are different ways to write very large numbers?
Answer:
A place-value chart can help you write a very large number, such as 44,600,000,000, in different forms.
Envision Math Grade 6 Answers Topic 1.1 Place Value 4
Standard form: 44,600,000,000
Word form: forty-four billion, six hundred million
Short word form: 44 billion, 600 million
Expanded form: 40,000,000,000 + 4,000,000,000 + 600,000,000 or
(4 × 10,000,000,000) + (4 × 1,000,000,000) + (6 × 100,000,000)

Explain It
Question 1.
What is the relationship between the commas in a number and the periods in a place-value chart?
Answer:
See margin.
Explanation:

Question 2.
In the example above, how do you know what the addends are for a number written in expanded form?
Answer:
See margin.
Explanation:

Envision Math Grade 6 Answers Topic 1.1 Place Value 5
You can use the word form to read the number.
Word form: nine trillion, five hundred billion

Guided Practice

Do you know HOW?
In 1 through 4, write the place and value of the underlined digit.
Question 1.
1,234,567
Answer:
See margin.
Explanation:

Place Value 2

Question 2.
9,870,563,142,000
Answer:

Question 3.
36,192,748
Answer:
See margin
Explanation:

Question 4.
82,765,432,109,497
Answer:

In 5 and 6, write each number in the form indicated.
Question 5.
57,000,000,009 in expanded form
Answer:
See margin.
Explanation:

Question 6.
321 trillion, 705 thousand in standard form
Answer:
See margin.
Explanation:

Do you UNDERSTAND?
Question 7.
How do you use periods to read and write very large numbers?
Answer:
See margin.
Explanation:

Question 8.
In the example at the top, how would you write the number in expanded form?
Answer:
See margin.
Explanation:

Question 9.
When writing 136,000,000 in expanded form, why would you skip the hundred thousands, ten thousands, thousands, hundreds, tens, and ones?
Answer:
Those places are occupied by zeros.
Explanation:

Independent Practice

In 10 through 12, write the place and value of the digit 3 in each number?
Answer:
See margin.
Explanation:
Question 10.
3,476
Answer:

Place Value 3

Question 11.
384,400
Answer:

Question 12.
5,437,200,184,400
Answer:

In 13 through 15, write each number in short-word form.
Answer:
See margin.
Explantion:

Question 13.
18,429,000,050,000
Answer:

Question 14.
10,007,000,000,000
Answer:

Question 15.
8,507,004,041
Answer:

For 16 through 19, use the number 1,435,600,000,000.
Question 16.
What is the place and value of the digit 5? billions,
Answer:
5,000,000,000
Explanation:

Question 17.
What is the value of the digit 3?
Answer:
30,000,000,000
Explanation:

Question 18.
Write the number in word form.
Answer:
One trillion, four hundred thirty-five billion, six hundred million

Question 19.
Using both multiplication and addition, how would you write this number in expanded form?
Answer:
See margin.
Explanation:

Problem Solving

Question 20.
How do you write the number of stars in the Milky Way galaxy in standard form?
Answer:
200,000,000,000
Explanation:

Question 21.
Writing to Explain Describe how you would use the standard form of a number to write the short-word form.
Answer:
See margin.
Explanation:

In a recent year, the world used an estimated 15,850,000,000 kilowatt hours of electricity. Use this information to answer 22 through 24.
Envision Math Grade 6 Answers Topic 1.1 Place Value 6
Question 22.
What is the value of each non-zero digit in the number
Answer:
10,000,000,000; 5,000,000,000; 800,000,000; 50,000,000
Explanation:

Question 23.
Number Sense From left to right, what is the place of the second 5 in this number?
A. trillions
B. hundred millions
C. ten millions
D. hundred thousands
Answer:
C. ten millions
Explanation:

Question 24.
Algebra At this rate, how many kilowatt hours of electricity might the world use over a 10-year period?
A. 160 million
B. 160 billion
C. 16 trillion
D. 160 trillion
Answer:
B. 160 billion
Explanation:

Question 25.
Which of these numbers represents seventy-six trillion, two hundred seven thousand?
A. 76,000,000,207,000
B. 76,000,000,007,200
C. 76,000,207,000,000
D. 76,000,207,000
Answer:
A. 76,000,000,207,000
Explanation:

Question 26.
Which of these numbers is ten million more than three billion, four hundred twenty-nine million?
A. 3,419,000,000,000
B. 3,439,000,000,000
C. 3,419,000,000
D. 3,439,000,000
Answer:
D. 3,439,000,000
Explanation:

Mixed Problem Solving

Ancient Civilizations in Today’s World
Envision Math Grade 6 Answers Topic 1.1 Place Value 7
Use the estimated populations shown on the map above to answer 1 through 10.
Question 1.
Which countries have a population in the billions?
Answer:
India and China
Explanation:

Question 2.
Which value does the digit 1 have in Greece’s population?
Answer:
10 million
Explanation:

Question 3.
Which places does the digit 3 occupy in China’s population?
Answer:
Hundred millions, millions, thousands, and ones
Explanation:

Question 4.
Which country has a population close to 80 million?
Answer:
Egypt
Explanation:

Question 5.
Which countries have a population between ten million and one hundred million?
Answer:
Greece, Egypt, and Italy
Explanation:

Question 6.
Draw a place-value chart to show the place and value of each of the digits in I ndia’s population.
Answer:
Place-value chart should show 1,095,351,995.
Explanation:

Question 7.
Which country has the least population? 8. How much less is its population than the greatest population shown?
Answer:
Greece; 1,303,285,655
Explanation:

Question 8.
How many people would India need to gain for its population to equal that of China?
Answer:
218,621,718
Explanation:

Question 9.
In a recent year, the population of Italy’s 10. capital, Rome, was about 2,553,873. About how many times larger was Italy’s population than the population of Rome?
Answer:
About 20 times larger
Explanation:

Question 10.
It is projected that China’s population will increase approximately 20% by 2025. Approximately how many more people will China have?
A. 130,000,000
B. 89,000,000
C. 260,000,000
D. 3,190,000,000
Answer:
C. 260,000,000
Explanation:

Envision Math Grade 3 Answer Key Topic 2.4 Problem Solving

Envision Math 3rd Grade Textbook Answer Key Topic 2.4 Problem Solving

Problem Solving

Try, Check, and Revise
Tad, Holly, and Shana made 36 posters all together. Shana made 3 more posters than Holly. Tad and Holly made the same number of posters.
Envision Math 3rd Grade Textbook Answers Topic 2.4 Try, Check, and Revise 1

Question.
How many posters did Shana make?
Answer:

Guided Practice

Do you know HOW?
Question 1.
Peg and Pat are sharing 64 crayons. Pat has 10 more crayons than Peg. How many crayons does each girl have?
Envision Math 3rd Grade Textbook Answers Topic 2.4 Try, Check, and Revise 2
Answer:

Do you UNDERSTAND?
Question 2.
Look at the diagram for Problem 1. Why aren’t Peg’s part and Pat’s part of the rectangle the same size?
Answer:

Question 3.
Write a Problem Write a problem that can be solved by using reasoning to make good tries.
Answer:

Independent Practice

Question 4.
All together, Rod has 38 crayons, markers, and pencils. He has 5 more crayons than markers. He has the same number of markers and pencils. How many markers does he have?
Envision Math 3rd Grade Textbook Answers Topic 2.4 Try, Check, and Revise 3
Answer:

Plan
Use reasoning to make good tries.
Then check.
Try: 10 + 10 + 13 = 33
Check: 33 < 36
Too low, I need 3 more.
Try: 12 + 12 + 15 = 39
Check: 39 > 36
Too high, I need 3 less.

Solve
Revise, using what you know.
Try: 11 + 11 + 14 = 36
Check: 36 = 36
This is correct.
Shana made 14 posters.

Use the pictures at the right for 5 and 6.
Envision Math 3rd Grade Textbook Answers Topic 2.4 Try, Check, and Revise 4
Question 5.
The clerk at the flower store puts all the roses into two vases. One vase has 2 more roses than the other vase. How many roses are in each vase?
Envision Math 3rd Grade Textbook Answers Topic 2.4 Try, Check, and Revise 5
Answer:

Question 6.
Edna, Jay, and Bob bought all of the carnations in the flower store. Edna bought 2 more than Jay. Bob and Jay bought the same number. How many carnations did Edna buy?
Answer:

Question 7.
Mr. Tyler bought one iris for $1.25 and 3 roses for $3 each. How much did Mr. Tyler spend for the roses?
Answer:

Question 8.
Cam bought an iris for $1.25. He paid with 6 coins. What coins did he use?
Answer:

Question 9.
Jared is thinking of two numbers. They have a sum of 12 and a difference of 6. What are the two numbers?
A. 11 and 1
B. 10 and 2
C. 9 and 3
D. 8 and 4
Answer:

Question 10.
Hanna read that there are 22 types of crocodiles and alligators in all. There are 6 more types of crocodiles than alligators. How many types of crocodiles are there? How many types of alligators are there?
Answer:

Envision Math Grade 3 Answer Key Topic 2.1 Finding the Halfway Number

Envision Math 3rd Grade Textbook Answer Key Topic 2.1 Finding the Halfway Number

Review What You Know

Vocabulary
Choose the best term from the box,
Envision Math Grade 3 Answers Topic 2.1 Finding the Halfway Number 9

Question 1.
In 259, the 2 is in the ? place.
Answer:

Question 2.
In 259, the 9 is in the ? place.
Answer:

Question 3.
The answer in addition is the ?.
Answer:

Place Value

Copy and complete,
Question 4.
35 = ☐ tens ☐ ones
Answer:

Question 5.
264 = ☐ hundreds ☐ tens ☐ ones
Answer:

Question 6.
302 = ☐ hundreds ☐ tens ☐ ones
Answer:

find half number 1

Addition Facts

Write each sum
Question 7.
3 + 5
Answer:

Question 8.
1 + 8
Answer:

Question 9.
6 + 4
Answer:

Question 10.
4 + 3
Answer:

Question 11.
8 + 2
Answer:

Question 12.
6 + 6
Answer:

Question 13.
7 + 6
Answer:

Question 14.
8 + 6
Answer:

Question 15.
9 + 9
Answer:

Question 16.
Janika bought 3 books on Monday and 6 books on Tuesday. How many books did she buy in all?
Answer:

Question 17.
Writing to Explain Derrick has 4 red, 2 blue, 2 green, 2 yellow, and 2 orange balloons. Explain how to skip count to find how many balloons he has in all.
Answer:

Finding the Halfway Number

How can you find the number halfway between two numbers?
What number is halfway between 80 and 90?
Answer:
85 is halfway between 80 and 90.
Envision Math Grade 3 Answers Topic 2.1 Finding the Halfway Number 1

Guided Practice

Do you know HOW?
Find the number halfway between each pair of numbers.
Question 1.
40 and 50
Envision Math Grade 3 Answers Topic 2.1 Finding the Halfway Number 2
Answer:

Question 2.
9,000 and 10,000
Envision Math Grade 3 Answers Topic 2.1 Finding the Halfway Number 3
Answer:

Do you UNDERSTAND?
Question 3.
Writing to Explain Look at the number line above that shows 6,000 and 7,000. How do you know that 6,800 is not the halfway number?
Answer:

Question 4.
A road has a mile marker every mile. Marge has stopped at a rest area at mile marker 60. There is a gas station at mile marker 70. What mile marker is halfway between Marge and the gas station?
Answer:

Independent Practice

Find the number halfway between each pair of numbers. You may draw number lines to help.
Question 5.
20 and 30
Answer:

halfway number 2

Question 6.
40 and 50
Answer:

Question 7.
90 and 100
Answer:

Question 8.
700 and 800
Answer:

Question 9.
300 and 400
Answer:

Question 10.
800 and 900
Answer:

Question 11.
4,000 and 5,000
Answer:

Question 12.
8,000 and 9,000
Answer:

Question 13.
8,800 and 8,900
Answer:

Question 14.
6,300 and 6,400
Answer:

Question 15.
2,000 and 3,000
Answer:

Question 16.
7,600 and 7,700
Answer:

What is the number halfway between 400 and 500?
Envision Math Grade 3 Answers Topic 2.1 Finding the Halfway Number 4
450 is halfway between 400 and 500.
What is the number halfway between 6,000 and 7,000?
Envision Math Grade 3 Answers Topic 2.1 Finding the Halfway Number 5
6,500 is halfway between 6,000 and 7,000.

When you find the number that is the same distance from both of the other numbers.

Problem Solving

For 17-19, find the halfway number for each number line.
Question 17.
Envision Math Grade 3 Answers Topic 2.1 Finding the Halfway Number 6
Answer:

Question 18.
Envision Math Grade 3 Answers Topic 2.1 Finding the Halfway Number 7
Answer:

Question 19.
Envision Math Grade 3 Answers Topic 2.1 Finding the Halfway Number 8
Answer:

Question 20.
Look back at your answers for problems 17–19. How are they alike?
Answer:

Question 21.
Jack read 132 pages in one week. Jim read 125 pages in the same week. Who read more pages? Explain how you know?
Answer:

Question 22.
The length of the world’s largest American flag is halfway between 500 feet and 510 feet. How many feet long is this flag?
Answer:

Question 23.
Ricardo says that 5,600 is halfway between 5,000 and 6,000. Is he correct? Why or why not?
Answer:

Question 24.
Writing to Explain Explain how to find the number halfway between 500 and 600.
Answer:

Question 25.
The number 650 is halfway between which pair of numbers?
A. 65 and 6,500
B. 500 and 600
C. 600 and 700
D. 6,000 and 7,000
Answer:

Question 26.
Which set of numbers is in order from least to greatest?
A. 121, 119, 118, 115
B. 115, 119, 121, 118
C. 118, 115, 121, 119
D. 115, 118, 119, 121
Answer: