Envision Math Grade 2 Answer Key Topic 2.2 Doubles

Envision Math 2nd Grade Textbook Answer Key Topic 2.2 Doubles

Doubles

Envision Math Grade 2 Answers Topic 2.2 Doubles 1

Question 1.
Envision Math Grade 2 Answers Topic 2.2 Doubles 2
__ + ___ = ___
Answer:

Question 2.
Envision Math Grade 2 Answers Topic 2.2 Doubles 3
__ + __ = ___
Answer:

Home Connection Your child learned about doubles facts.
Home Activity Look for doubles around the house, such as 2 rows of 6 eggs, 2 piles of 4 shirts, or 2 groups of 3 spoons. Ask your child to tell you the doubles fact that goes with each one.
AF 1.1, Grade 1 Write and solve number sentences from problem situations that express relationships involving addition and subtraction. Also AF 1.0.

Envision Math Grade 2 Answers Topic 2.2 Doubles 5

Guidance Practice

Complete the doubles. Then solve.

Question 1.
8 + 8 = 16
Answer:

Question 2.
__ + 3 = __
Answer:

Question 3.
__ + 5 = 10
Answer:

Question 4.
7 + __ = 14
Answer:

Question 5.
Envision Math 2nd Grade Answer Key Topic 2.2 Doubles 10
Answer:

Question 6.
Envision Math 2nd Grade Answer Key Topic 2.2 Doubles 11
Answer:

Question 7.
Envision Math 2nd Grade Answer Key Topic 2.2 Doubles 12
Answer:

Question 8.
Envision Math 2nd Grade Answer Key Topic 2.2 Doubles 13
Answer:

Do you understand? Is 8 + 9 = 17 a doubles fact? Explain

Independent Practice

Complete the doubles. Then solve.

Question 9.
5 + __ = __
Answer:

Question 10.
__ + 4 = __
Answer:

Question 11.
__ + 9 = __
Answer:

Question 12.
2 + __ = 4
Answer:

Question 13.
Envision Math 2nd Grade Answer Key Topic 2.2 Doubles 16
Answer:

Question 14.
Envision Math 2nd Grade Answer Key Topic 2.2 Doubles 17
Answer:

Question 15.
Envision Math 2nd Grade Answer Key Topic 2.2 Doubles 18
Answer:

Question 16.
Envision Math 2nd Grade Answer Key Topic 2.2 Doubles 19
Answer:

Algebra Complete the doubles facts.

Question 17.
Envision Math 2nd Grade Answer Key Topic 2.2 Doubles 20
Answer:

Problem Solving

Draw pictures to help solve the problems.

Question 18.
Jeff bought 9 oranges. Joe bought the same number of oranges. How many oranges did they buy in all?
____ + ____ = ____ oranges
Envision Math Grade 2 Answer Key Topic 2.2 Doubles 25

Question 19.
Alex picked 2 bunches of flowers. Each bunch had 5 flowers in it. What will Alex add to find how many flowers in all?
Envision Math 2nd Grade Answer Key Topic 2.2 Doubles 26
Answer:

Question 20.
Journal Write a riddle about a doubles fact.
Envision Math 2nd Grade Answer Key Topic 2.2 Doubles 27
Answer:

Envision Math Grade 2 Answer Key Topic 2.1 Adding 0, 1, 2

Envision Math 2nd Grade Textbook Answer Key Topic 2.1 Adding 0, 1, 2

Addition Strategies

Review What You Know

Write an addition sentence to answer the question. Bill has 4 baseballs. Tess has 4 baseballs. How many baseballs do they have altogether?
Envision Math Grade 2 Answers Topic 2.1 Adding 0, 1, 2 0.1
__ + __ = __

Write the numbers that show ways to make 10.

Question 1.
Envision Math Grade 2 Answers Topic 2.1 Adding 0, 1, 2 2
__ + ___ = ____
Answer:

Question 2.
Envision Math Grade 2 Answers Topic 2.1 Adding 0, 1, 2 4
__ + ___ = ____
Answer:

Home-School Connection

Dear Family,
Today my class started Topic 2, Addition Strategies. I will learn different ways to add numbers. Here are some of the new math words I will be learning and some things we can do to help me with my math.
Love,
_________

Book to Read

Reading math stories reinforces concepts. Look for this title in your local library:

Animals on Board
By Stuart J. Murphy
(HarperTrophy, 1998)
Envision Math Grade 2 Answers Topic 2.1 Adding 0, 1, 2 5

Home Activity

Gather 11 small items, such as pennies or buttons. Use the items to help your child practice showing 0, 1, or 2 more. For example, show a group of 7 pennies and ask your child to show 1 more. Your child then adds 1 penny to the group and says, “Now there are 8 pennies.” Continue with other small items.
Envision Math Grade 2 Answers Topic 2.1 Adding 0, 1, 2 6

My New Math Words

doubles

A doubles fact has two addends that are the same.
Envision Math Grade 2 Answers Topic 2.1 Adding 0, 1, 2 7

near doubles

An addition fact with near doubles has an addend that is one more than the other addend.
Envision Math Grade 2 Answers Topic 2.1 Adding 0, 1, 2 8

addend

The numbers that are added are called addends.
Envision Math Grade 2 Answers Topic 2.1 Adding 0, 1, 2 9

Make Tens

Number of players: 2
How to Play

1. Take turns. Spin the spinner.
2. Add the number you spun and a number on a rocket to make 10.
3. Use a counter to cover the number on the rocket.
4. Play until all numbers on the rockets are covered.

Envision Math Grade 2 Answers Topic 2.1 Adding 0, 1, 2 10

What You Need
16 counters Envision Math Grade 2 Answers Topic 2.1 Adding 0, 1, 2 10.1
1 paper clip Envision Math Grade 2 Answers Topic 2.1 Adding 0, 1, 2 10.2
1 pencil Envision Math Grade 2 Answers Topic 2.1 Adding 0, 1, 2 10.3

Adding 0 , 1 , 2
Envision Math Grade 2 Answers Topic 2.1 Adding 0, 1, 2 11.1

Question 1.
___ + ___ = ___
Answer:

Question 2.
___ + ___ = ___
Answer:

Question 3.
___ + ___ = ___
Answer:

Question 4.
___ + ___ = ___
Answer:

Home Connection Your child added 0, 1, and 2 to a number to find a sum.
Home Activity Pose addition exercises to your child involving adding 0, 1, or 2, for example 3 + 0, 4 + 1, and 6 + 2. Have your child find each sum.
NS 2.1 Envision Math Grade 2 Answers Topic 2.1 Adding 0, 1, 2 25, Grade 1 Know the addition facts (sums to 20) and the corresponding subtraction facts and commit them to memory. Also MR 1.2, AF 1.2.

Envision Math Grade 2 Answer Key Topic 2.1 Adding 0, 1, 2 30

Guided Practice

Circle the 0, 1, or 2. Then add.

Question 1.
4 + 0 = 4
Answer:

Question 2
3 + 1 = ___
Answer:

Question 3.
5 + 2 = ___
Answer:

Question 4.
2 + 3 =__
Answer:

Question 5.
4 + 1 = __
Answer:

Question 6.
7 + 1 = ___

Question 7.
Envision Math Grade 2 Answer Key Topic 2.1 Adding 0, 1, 2 31
Answer:

Question 8.
Envision Math Grade 2 Answer Key Topic 2.1 Adding 0, 1, 2 32
Answer:

Question 9.
Envision Math Grade 2 Answer Key Topic 2.1 Adding 0, 1, 2 33
Answer:

Question 10.
Envision Math Grade 2 Answer Key Topic 2.1 Adding 0, 1, 2 34
Answer:

Do you understand? Pick a number less than ten. What numbers are 2 more, 1 more, and 0 more than your number?

Independent Practice
Circle the 0, 1, or 2.
Then add.

Question 11.
Envision Math Grade 2 Answer Key Topic 2.1 Adding 0, 1, 2 35
Answer:

Question 12.
Envision Math Grade 2 Answer Key Topic 2.1 Adding 0, 1, 2 36
Answer:

Question 13.
Envision Math Grade 2 Answer Key Topic 2.1 Adding 0, 1, 2 37
Answer:

Question 14.
Envision Math Grade 2 Answer Key Topic 2.1 Adding 0, 1, 2 38
Answer:

Question 15.
8 + 2 = __
Answer:

Question 16.
2 + 6 = ___
Answer:

Question 17.
9 + 2 = __
Answer:

Question 18.
5 + 2 = ___
Answer:

Question 19.
9 + 0 = ___
Answer:

Question 20.
8 + 0 = ___
Answer:

Algebra
Write the missing number.

Question 21.
Envision Math Grade 2 Answer Key Topic 2.1 Adding 0, 1, 2 40 + 4 = 4
Answer:

Question 22.
9 + Envision Math Grade 2 Answer Key Topic 2.1 Adding 0, 1, 2 40 = 10
Answer:

Problem Solving

Solve the problems below

Question 23.
Julia had 7 paper dolls. Then she made 2 more dolls.
Envision Math Grade 2 Answer Key Topic 2.1 Adding 0, 1, 2 41
How many paper dolls does Julia have in all?
Answer:

Question 24.
Tony has 9 colored pencils. Amy has 2 colored pencils. How many colored pencils do Tony and Amy have in all?
Mark the addition sentence that shows this problem.
Envision Math Grade 2 Answer Key Topic 2.1 Adding 0, 1, 2 42
Answer:

Question 25.
Journal Draw a number story using 0, 1 more, or 2 more. Write an addition sentence for your story.
Envision Math Grade 2 Answer Key Topic 2.1 Adding 0, 1, 2 43
Answer:

Envision Math Grade 2 Answer Key Topic 1 Reteaching

Envision Math 2nd Grade Textbook Answer Key Topic 1 Reteaching

Reteaching

Set A

You can use a subtraction sentence to show a story.

Envision Math Grade 2 Answer Key Topic 1 Reteaching 0.1

Sam draws 6 pictures. Laura draws 2 pictures. How many more pictures does Sam draw than Laura?
Envision Math Grade 2 Answer Key Topic 1 Reteaching 1
Sam draws 4 more pictures.

Write a subtraction sentence for the story.

Question 1.
Robin has 8 crayons. Andrew has 3 crayons. How many more crayons does Robin have than Andrew?
__ – __ = ___
Answer:

Question 2.
Ted reads 9 pages. Pete reads 6 pages. How many more pages does
__ – __ = __
Answer:

Set B

You can write addition and subtraction sentences to show the whole and the parts.
Envision Math Grade 2 Answer Key Topic 1 Reteaching 5

Write an addition sentence for the model. Then write two subtraction sentences for the model.
Envision Math Grade 2 Answer Key Topic 1 Reteaching 6

Question 3.
__ + __ = ___
__ – __ = ___
__ – __ = ___
Answer:

Set C

You can join the parts to find the sum. Kate sees 5 flowers. Then she sees 3 more. How many flowers does Kate see in all?
Envision Math Grade 2 Answer Key Topic 1 Reteaching 7

Draw a picture to find the sum. Then write an addition sentence.

Question 4.
There are 2 cats in the yard. 4 more cats join them. How many cats are there in all?
Envision Math Grade 2 Answer Key Topic 1 Reteaching 8
Answer:

Set D

You can separate a part from the whole to find the missing part. Louis has 7 baseball caps. He gives 2 away. How many caps does Louis have now?
Envision Math Grade 2 Answer Key Topic 1 Reteaching 9

Draw a picture to find the difference. Write a subtraction sentence.

Question 5.
There are 5 balls on the beach. 4 balls bounce away. How many balls are on the beach now?
Envision Math Grade 2 Answer Key Topic 1 Reteaching 10
Answer:

Envision Math Grade 2 Answer Key Topic 1.7 Problem Solving

Envision Math 2nd Grade Textbook Answer Key Topic 1.7 Problem Solving

Problem Solving

Use Objects

Envision Math Grade 2 Answers Topic 1.7 Problem Solving 0.1

Question 1.
Envision Math Grade 2 Answers Topic 1.7 Problem Solving 1
Answer:

Question 2.
Envision Math Grade 2 Answers Topic 1.7 Problem Solving 1
Answer:

Question 3.
Envision Math Grade 2 Answers Topic 1.7 Problem Solving 1
Answer:

Question 4.
Envision Math Grade 2 Answers Topic 1.7 Problem Solving 1
Answer:

Home Connection Your child used objects and decided whether to add or subtract to solve a math story problem.
Home Activity Make up word problems. Ask your child to use small objects such as paper clips or pennies to add or subtract to solve the problems.
AF 1.2 Relate problem situations to number sentences involving addition and subtraction.
Also AF 1.3, MR 1.2, MR 2.1.

Envision Math Grade 2 Answers Topic 1.7 Problem Solving 10

Guided Practice

Use counters and your workmat. Circle add or subtract.
Then write the number sentence.

Question 1.
Sam has 5 green tomatoes and 3 red tomatoes. How many tomatoes does he have?
Envision Math Grade 2 Answers Topic 1.7 Problem Solving 11
Answer:

Question 2.
There are 9 party hats. The children wear 7 of them.
How many hats are left?
Envision Math Grade 2 Answers Topic 1.7 Problem Solving 12
Answer:

Do you understand? How did you use objects to complete exercise 2?

Independent Practice

Use counters and your workmat. Circle add or subtract. Then write the number sentence

Question 3.
Cho has 6 toy horses. Hakeem has 3 toy horses. How many toy horses do they have altogether?
Envision Math Grade 2 Answers Topic 1.7 Problem Solving 13
Answer:

Question 4.
There are 10 peaches. The children eat 3 of them. How many peaches are left?
Envision Math Grade 2 Answers Topic 1.7 Problem Solving 14
Answer:

Question 5.
Juan reads 5 books. Betty reads 2 books. How many books do they read in all?
Envision Math Grade 2 Answers Topic 1.7 Problem Solving 15
Answer:

Problem Solving

Solve the problems below.
Use counters and your workmat.

Question 6.
Kim makes 5 snowballs. Jo makes 7 snowballs. How many more snowballs does Jo make than Kim?
Envision Math 2nd Grade Answer Key Topic 1.7 Problem Solving 16
Answer:

Question 7.
The runners drink 5 bottles of water after the first race. They drink 4 bottles of water after the second race.
Which shows how many bottles they drink in all?
Envision Math 2nd Grade Answer Key Topic 1.7 Problem Solving 17
Answer:

Question 8.
Journal Write a story problem using the numbers 6 and 3. Have a friend use counters to solve it.
Envision Math 2nd Grade Answer Key Topic 1.7 Problem Solving 18
Answer:

Envision Math Grade 5 Answer Key Topic 18.4 Problem Solving

Envision Math 5th Grade Textbook Answer Key Topic 18.4 Problem Solving

Problem Solving

Work Backward
Symbols can show movement of points on a coordinate plane.
Envision Math 5th Grade Textbook Answers Topic 18.4 Problem Solving 1
Symbols
move right →
move left ←
move up ↑
move down ↓

Starting Position (2, 3)
5 units → (7, 3)
3 units ↑ (7, 6)
4 units → (3, 6) Ending Position

Guided Practice

Do you know HOW?
Question 1.
Work backward to find the starting position.
Starting (x, y)
3 units → (6, 14)
5 units ↓ (6, 9)
2 units → (8, 9) Ending
Answer:

Do you UNDERSTAND?
Question 2.
How can you check the starting position in the answer from the example at the top?
Answer:

Question 3.
Write a Problem Write a problem involving movement of points on a coordinate plane that can be solved by working backward.
Answer:

Independent Practice

In 4 and 5, work backward to find each starting position.
Question 4.
Starting (x, y)
4 units ←
6 units ↑
2 units ↓
3 units → (3, 9) Ending
Answer:

Question 5.
Starting (x, y)
2 units ↓
7 units →
2 units ↑
14 units → (21, 2) Ending
Answer:

What is the starting position?
If you know the ending position and the motions used, you can work backward to find the starting position.
Starting (x, y)
5 units → (7, 3)
3 units ↑   (7, 6)
4 units → (3, 6) Ending

Plan and Solve
Begin at the ending position. Do the opposite motions and work backward.
Ending (3, 6)
4 units → (7, 6)
3 units ↓ (7, 3)
5 units ← (2, 3) Starting
The starting position is (2, 3).
Answer:

Solve.
Question 6.
Pat decided to bake one evening. First, she used a certain amount of flour to make biscuits. Then, Pat used 3\(\frac{3}{4}\) cups of flour to make bread and 1\(\frac{1}{4}\) cups of flour to make pretzels. If Pat used a total of 7\(\frac{1}{4}\) cups of flour for all of her baking, how much flour did she use to make biscuits?
Answer:

Question 7.
The Tigers scored 20 points during a basketball game. The team scored 6 points during the fourth quarter, 4 points during the third quarter, and the same number of points in both the second and first quarters. How many points did the Tigers score in the first quarter of the game? The second quarter?
Answer:

Question 8.
Heather is thinking of a solid that is made up of a couple of shapes. The solid has 5 faces. One of the faces is a shape that has sides of equal length. The other 4 faces are shapes that have three sides. What is the name of the solid Heather is thinking of?
Answer:

Question 9.
Steve, Derrin, Sid, Spencer, and Naji are waiting in line to buy tickets to a movie. Derrin is in front of Spencer and behind Sid. Steve is between Sid and Derrin. Naji is behind Spencer. Who is first in line?
Answer:

Question 10.
Julie kept track of the number of miles she drove over a three-day period. On the first day, she drove 17.25 miles. On the second day, she drove 5.25 miles. On the third day, she drove 24 miles. At the end of the third day, the odometer on Julie’s car read 52,607.5 miles. What was the mileage number on Julie’s odometer when she began keeping track of her mileage?
Answer:

Question 11.
Philip wants to take the quickest trip to Chicago. Some trains make more stops than others. Which train should he take?
Envision Math 5th Grade Textbook Answers Topic 18.4 Problem Solving 2
Answer:

Envision Math Grade 5 Answer Key Topic 18.3 Graphing Equations

Envision Math 5th Grade Textbook Answer Key Topic 18.3 Graphing Equations

Graphing Equations

How do you graph an equation on a coordinate grid?
Answer:
Each day at 7:00 A.M., Tim listed the temperature on his outdoor thermometer and from the radio weather report.
Envision Math Grade 5 Answer Key Topic 18.3 Graphing Equations 1

Question.
Write an equation to show the relationship between the temperatures and then graph that relationship.
Answer:

Guided Practice

Do you know HOW?
In 1 and 2, complete the table of values and graph the equation.
Question 1.
y = x+ +3
Envision Math Grade 5 Answer Key Topic 18.3 Graphing Equations 2
Answer:

Question 2.
y = x – +4
Envision Math Grade 5 Answer Key Topic 18.3 Graphing Equations 3
Answer:

Do you UNDERSTAND?
Question 3.
For the problem above, suppose the temperature given in the weather report was 2° F higher than the temperature at Tim’s house. Write an equation, make a table of values, and graph the equation.
Answer:

Question 4.
On your graph for Problem 1, what is the y-coordinate at the point where the line would cross the x-axis?
Answer:

Independent Practice

In 5 through 7, write an equation to describe each table.
Question 5.
Envision Math Grade 5 Answer Key Topic 18.3 Graphing Equations 4
Answer:

Question 6.
Envision Math Grade 5 Answer Key Topic 18.3 Graphing Equations 5
Answer:

Question 7.
Envision Math Grade 5 Answer Key Topic 18.3 Graphing Equations 6
Answer:

In 8 through 10, complete each table of values and graph each equation.
Question 8.
y = x + 1
Envision Math Grade 5 Answer Key Topic 18.3 Graphing Equations 7
Answer:

Question 9.
y = x – 3
Envision Math Grade 5 Answer Key Topic 18.3 Graphing Equations 8
Answer:

Question 10.
y = 4 + x
Envision Math Grade 5 Answer Key Topic 18.3 Graphing Equations 9
Answer:

Write an equation.
Let x = temperature Tim’s house
Let y = temperature given by the weather report
Each day the temperature was reported as 2° lower.
y = x – 2

Use Tim’s list to make a table of values.
Envision Math Grade 5 Answer Key Topic 18.3 Graphing Equations 10
A table of values shows how x and y are related and lists values that satisfy the equation.

Use the table of values to graph the equation.
Envision Math Grade 5 Answer Key Topic 18.3 Graphing Equations 11
An equation whose graph is a straight line is called a linear equation.

Problem Solving

Question 11.
Reasoning If the points (+1, +7), (+1, +3), (+1, –5), and (+1, –9) were graphed, they would form a vertical line. Do you think the equation for this line would be x = +1 or y = +1? Explain.
Answer:

Question 12.
The Clothes Closet was having a year-end sale. Julie bought 2 pairs of jeans. The jeans cost $28 each. Her state charges 7% sales tax. What was the total cost of the jeans?
Answer:

Question 13.
Which ordered pair will be included on the graph for y = +9 + x?
A. (+6, +3)
B. (–3, +6)
C. (+3, –6)
D. (+6, –3)
Answer:

Question 14.
If you were to walk on Mars, the air near your toes may have a temperature of +18°C, but the air at your head may be 27°C colder. What would be the temperature near your head?
Answer:

For 15 and 16, use the graph below.
Question 15.
Make a table of values for the graph.
Envision Math Grade 5 Answer Key Topic 18.3 Graphing Equations 12
Answer:

Question 16.
Use the table of values to write an equation for the graph.
Answer:

Question 17.
Justin bought a hat for $8.50 and socks for $5.75. He had a coupon for $2 off one item. How much change did he receive if he paid with a $20 bill?
Answer:

Question 18.
Writing to Explain Aaron’s graph included the points (+6, +2), (+3, –1), and (–3, –7). Bob’s graph included the points (+7, +3), (+2, –2), and (–2, –6). Would all six points be included on the same graph? Why or why not?
Answer:

Question 19.
If two pencils cost $0.25, how much would 12 pencils cost?
Answer:

Envision Math Grade 5 Answer Key Topic 18.2 Line Graphs

Envision Math 5th Grade Textbook Answer Key Topic 18.2 Line Graphs

Line Graphs

How can data be represented?
Answer:
Data is collected information.
A line graph is used to show how data changes over time. It shows a trend, a general direction in data.
This table shows the growth of a plant over a period of several days. The data can be displayed in a line graph.
Envision Math 5th Grade Answer Key Topic 18.2 Line Graphs 1

Another Example
How can you read data from line graphs?
Answer:
To use data from a graph, locate a point on the graph, and read the values on both axes. To estimate a value not on a graph, interpret the data to determine a trend. The graph below shows Sasha’s reading log.
Envision Math 5th Grade Answer Key Topic 18.2 Line Graphs 2

Explain It
Question 1.
Based on the data, how many pages had Sasha read after 2 hours? After 4 hours?
Answer:

Question 2.
If the trend continues, about how many hours will Sasha take to finish a 190-page book?
Answer:

Question 3.
Using the graph, between what two hours was Sasha reading page 140?
Answer:

Step 1:
Envision Math 5th Grade Answer Key Topic 18.2 Line Graphs 3
Draw a coordinate grid, use an appropriate scale, and label each axis. Title the graph.

Step 2:
Envision Math 5th Grade Answer Key Topic 18.2 Line Graphs 4
Plot each ordered pair from the table.

Step 4:
Envision Math 5th Grade Answer Key Topic 18.2 Line Graphs 5
Use a ruler to connect the points.

Guided Practice

Do you know HOW?
Question 1.
Use grid paper to make a line graph. Plot the ordered pairs from the table of values. Use an interval of 2 for each axis. Connect each point with a ruler.
Envision Math 5th Grade Answer Key Topic 18.2 Line Graphs 6
Answer:

Do you UNDERSTAND?
Question 2.
In the problem above, between which two days was the plant growth the greatest?
Answer:

Question 3.
If the line connecting the points for several days in a row is horizontal, how much taller did the plant grow during those days?
Answer:

Question 4.
Writing to Explain How can you determine information from a line graph for a point that is not plotted?
Answer:

Independent Practice

For 5 through 7, use the information from the line graph at the right.
Envision Math 5th Grade Answer Key Topic 18.2 Line Graphs 7
Question 5.
When were the most DVDs sold?
Answer:

Question 6.
How many more DVDs were sold during Week 3 than Week 5?
Answer:

Question 7.
Based on the trend, estimate the number of DVDs sold during Week 7.
Answer:

Problem Solving

Question 8.
Use the table at the right. On a globe, latitude is the x-coordinate. Longitude is the y-coordinate. What city is located at (30°, 30°)? Where is Milan, Italy, located?
Envision Math 5th Grade Answer Key Topic 18.2 Line Graphs 8
Answer:

For 9 and 10, use the line graph at the right.
Envision Math 5th Grade Answer Key Topic 18.2 Line Graphs 9
Question 9.
Look for a trend. How many inches do you predict the plant will have grown by the end of Week 5?
Answer:

Question 10.
How many more inches did the plant grow from the end of Week 2 to the end of Week 4?
Answer:

Question 11.
Use the table below. How much more did Americans spend on telephone service in 2004 than in 2001?
Envision Math 5th Grade Answer Key Topic 18.2 Line Graphs 10
Answer:

Question 12.
Think About the Process If a line graph shows an upward trend in population growth for the past five years, what do you know about the population size during that time?
A. The population decreased.
B. The population inceased and then decreased.
C. The population stayed the same.
D. The population increased.
Answer:

For 13 and 14, use the table at the right. The table shows how far a group of hikers hiked for 4 days.
Envision Math 5th Grade Answer Key Topic 18.2 Line Graphs 11
Question 13.
Make a line graph of the data. Use a scale from 0 to 12 and an interval of 2 for the miles hiked. Write a sentence about the trends represented on the graph.
Answer:

Question 14.
During which day did the hikers hike the greatest distance?
Answer:

Mixed Problem Solving

The Star Spangled Banner was written by poet Francis Scott Key. Francis Scott Key wrote this poem during the British attack of Fort McHenry in 1814.
Question 1.
Francis Scott Key was born in 1779 and lived until 1843. During his life, he worked as a lawyer in Washington, D.C., for many famous politicians. How old was Francis Scott Key when he wrote the Star Spangled Banner?
A. 30
B. 32
C. 35
D. 40
Answer:

Question 2.
The Star Spangled Banner was adopted as the National Anthem of the United States by Congress in 1931. How many years after it was written was Francis Scott Key’s poem made the National Anthem?
Answer:

Question 3.
America the Beautiful was written and composed by two different people. Katherine Lee Bates is the author of the poem, “America the Beautiful.” The poem was published in 1895. Samuel Augustus Ward wrote the melody in 1882. The words and music were first published together in 1910. How many years passed between the publication of the poem and the publication of the words and music?
Envision Math 5th Grade Answer Key Topic 18.2 Line Graphs 12
Answer:

Question 4.
How many years after the Star Spangled Banner was written was the poem America the Beautiful written?
Answer:

Question 5.
How many years after Samuel Augustus Ward wrote the melody for “America the Beautiful” did Katherine Lee Bates write the poem?
Answer:

Question 6.
Strategy Focus Solve using the strategy Work Backward.
Elisa has to be at ballet practice at 5:30 P.M. She has 30 minutes of homework to do and then has to eat dinner, which will take 25 minutes. If it takes 20 minutes to get to the ballet studio, at what time should she start her homework?
Answer:

Envision Math Grade 5 Answer Key Topic 18.1 Ordered Pairs

Envision Math 5th Grade Textbook Answer Key Topic 18.1 Ordered Pairs

Review What You Know

Vocabulary
Choose the best term from the box.
Envision Math Grade 5 Answers Topic 18.1 Ordered Pairs 1
Question 1.
(2, 5) is an example of a(n) ? .
Answer:

Question 2.
If you name a point (4, 6), 4 is the ? and 6 is the ? .
Answer:

Question 3.
A coordinate plane is made up of two intersecting ? .
Answer:

Basic Facts
Find each sum, difference, or product,
Question 4.
4 × 5
Answer:

Question 5.
7 × 8
Answer:

Question 6.
3 × 6
Answer:

Question 7.
8 + 6
Answer:

Question 8.
3 + 9
Answer:

Question 9.
5 + 7
Answer:

Question 10.
16 – 9
Answer:

Question 11.
8 – 6
Answer:

Question 12.
12 – 8
Answer:

Algebra
Question 13.
Evaluate 4x + 8 for x = 7
Answer:

Question 14.
Evaluate 51 ÷ y – 2 for y = 3
Answer:

Graphing Ordered Pairs
Writing to Explain Write an answer for the question.
Question 15.
Explain the steps you would follow to graph Point A (2, 3) on a coordinate grid .
Answer:

Ordered Pairs

How can you locate points on a coordinate grid?
Envision Math Grade 5 Answers Topic 18.1 Ordered Pairs 2
Answer:
A coordinate grid makes it easy to locate a point on a map. Start at 0. Go 3 blocks east and then 2 blocks north. You will be at the bank.
An ordered pair names a point on a coordinate grid. The bank is at (3, 2)

Another Example
How do you graph a point on a coordinate plane?
Answer:
You know that graphs represent data. Now you will see how ordered pairs of numbers can represent points on a coordinate plane.
Graph Point R at (-4, -5)
Envision Math Grade 5 Answers Topic 18.1 Ordered Pairs 3
Step 1: Draw and label the x-axis and y-axis on grid paper.
Step 2: Move 4 units to the left of the origin.Then, move 5 units down.
Step 3: Mark a point and label it R.

Explain It
Question 1.
How would you locate the point (+4, -5) on a coordinate grid?
Answer:

Question 2.
If the location of point R above were changed to (-4, +5), would the point be above or below its current position?
Answer:

Question 3.
Suppose you want to graph the point (0, +5) on graph paper. When you start from the origin, do you move right 0 units or move up 0 units?
Answer:

A coordinate plane extends to include both positive and negative numbers. It has a horizontal x-axis and a vertical y-axis. The point at which the x-axis and y-axis intersect is called the origin.
Envision Math Grade 5 Answers Topic 18.1 Ordered Pairs 4

The first number in an ordered pair, the x-coordinate, names the distance to the right or left from the origin along the x-axis. The second number, the y-coordinate, names the distance up or down from the origin along the y-axis.
Envision Math Grade 5 Answers Topic 18.1 Ordered Pairs 5
The ordered pair for Point A is (-2, 3).

Guided Practice

Do you know HOW?
In 1 through 4, write the ordered pair for each point. Use the grid at the right.
Envision Math Grade 5 Answers Topic 18.1 Ordered Pairs 6
Question 1.
A
Answer:

Question 2.
B
Answer:

Question 3.
C
Answer:

Question 4.
D
Answer:

Do you UNDERSTAND?
Question 5.
Writing to Explain Describe how to plot the ordered pair (-3, +4).
Answer:

Question 6.
What ordered pair names the origin of any coordinate plane?
Answer:

Question 7.
In the example above, name the ordered pair for a point that is 3 units directly above Point A.
Answer:

Independent Practice

In 8 through 13, write the ordered pair for each point. Use the grid at the right.
Envision Math Grade 5 Answers Topic 18.1 Ordered Pairs 7
Question 8.
M
Answer:

Question 9.
N
Answer:

Question 10.
P
Answer:

Question 11.
R
Answer:

Question 12.
S
Answer:

Question 13.
T
Answer:

In 14 through 19, graph and label each point on a grid.
Question 14.
H (2, +1)
Answer:

Question 15.
J (+5, +1)
Answer:

Question 16.
K(0, +5)
Answer:

Question 17.
E (+1, -3)
Answer:

Question 18.
F (+4, -5)
Answer:

Question 19.
G (-3, -4)
Answer:

Problem Solving

Geometry For 20 through 24, complete the table by listing the ordered pair for each vertex of the pentagon at the right.
Envision Math Grade 5 Answers Topic 18.1 Ordered Pairs 8
Answer:

Question 25.
Algebra Which equation shows the relationship of the values in the table?
Envision Math Grade 5 Answers Topic 18.1 Ordered Pairs 9
A. y = x + 3
B. x = y – 3
C. y = x – 3
D. y = x
Answer:

Question 26.
A chessboard is similar to a coordinate grid. The pieces that look like horses are called knights. What letter-number combinations name the locations of the white knights?
Envision Math Grade 5 Answers Topic 18.1 Ordered Pairs 10
Answer:

Question 27.
Writing to Explain
The streets in many cities in the United States are laid out in a coordinate grid. How is this helpful when finding locations in cities such as Los Angeles, California?
Answer:

Question 28.
In a class of 25 students, 15 are girls. Which does NOT show the part of the class that are girls?
A. \(\frac{3}{5}\)
B. 0.6
C. 60%
D. 0.3
Answer:

Stop and Practice

Find each difference.
Question 1.
6.7 – 0.921
Answer:

Question 2.
219.2 – 61.3
Answer:

Question 3.
2.5 – 1.054
Answer:

Question 4.
88.7 – 17.62
Answer:

Question 5.
1.17 – 0.362
Answer:

Question 6.
1.1 – 0.033
Answer:

In 7 through 13, solve each equation for c.
Question 7.
\(\frac{c}{8}\) = 9
Answer:

Question 8.
\(\frac{c}{16}\) = 2
Answer:

Question 9.
\(\frac{c}{17}\) = 5
Answer:

Question 10.
\(\frac{c}{2}\) = 2
Answer:

Question 11.
\(\frac{c}{30}\) = 3
Answer:

Question 12.
\(\frac{c}{10}\) = 13
Answer:

Question 13.
\(\frac{c}{7}\) = 6
Answer:

Find each difference. Estimate to check if the answer is reasonable.
Question 14.
Envision Math Grade 5 Answers Topic 18.1 Ordered Pairs 11
Answer:

Question 15.
734 ÷ 6
Answer:

Question 16.
Envision Math Grade 5 Answers Topic 18.1 Ordered Pairs 12
Answer:

Question 17.
723 ÷ 9
Answer:

Question 18.
10,648 ÷ 39
Answer:

Question 19.
Envision Math Grade 5 Answers Topic 18.1 Ordered Pairs 13
Answer:

Question 20.
Envision Math Grade 5 Answers Topic 18.1 Ordered Pairs 14
Answer:

Question 21.
6,203 ÷ 43
Answer:

Error Search Find each sum or difference that is not correct. Write it correctly and explain the error.
Question 22.
Envision Math Grade 5 Answers Topic 18.1 Ordered Pairs 15
Answer:

Question 23.
Envision Math Grade 5 Answers Topic 18.1 Ordered Pairs 16
Answer:

Question 24.
Envision Math Grade 5 Answers Topic 18.1 Ordered Pairs 17
Answer:

Question 25.
Envision Math Grade 5 Answers Topic 18.1 Ordered Pairs 18
Answer:

Question 26.
Envision Math Grade 5 Answers Topic 18.1 Ordered Pairs 19
Answer:

Number Sense
Estimating and Reasoning Write whether each statement is true or false. Explain your reasoning.
Question 27.
The sum of -8 and +12 equals -4.
Answer:

Question 28.
The quotient of 5,763 ÷ 8 is between 700 and 800.
Answer:

Question 29.
The difference of 25,980 – 15,980 is less than 10,000.
Answer:

Question 30.
The product of 8 and 5.943 is closer to 48 than 40.
Answer:

Question 31.
The sum of 5\(\frac{7}{10}\) and 3\(\frac{3}{4}\) is greater than 9.
Answer:

Question 32.
The k in the equation 13k = 39 is equal to 3.
Answer:

Envision Math Grade 5 Answer Key Topic 19 Reteaching

Envision Math 5th Grade Textbook Answer Key Topic 19 Reteaching

Reteaching

Set A, pages 420-422

Students were asked to name their favorite seasons. Make a bar graph to show the results.
Envision Math Grade 5 Answers Topic 19 Reteaching 1

Remember that a bar graph or a picture graph can be used to compare data that shows how many or how much. In a picture graph, each symbol represents a certain amount in the data.
Question 1.
Students were asked to name their favorite flower. Make a bar graph to show the results.
Envision Math Grade 5 Answers Topic 19 Reteaching 2
Answer:

Set B, pages 424-425

David made a histogram to show how many books his class had purchased in the last year.
Envision Math Grade 5 Answers Topic 19 Reteaching 3
Using the histogram, find the number of students who purchased 3-5 books. The bar with the 3-5 interval has a height of 8. The number of students is 8.

Remember that histograms are a type of bar graph that has no space between the bars and the bars show equal intervals.
Use the histogram at the left to answer the following questions.
Question 1.
How many students were surveyed?
Answer:

Question 2.
How many students had bought more than 5 books?
Answer:

Question 3.
What fraction of the students bought 9, 10, or 11 books?
Answer:

Set C, pages 426–428

A group of 100 students were asked to name their favorite type of television program. Make a circle graph to show the results.
Envision Math Grade 5 Answers Topic 19 Reteaching 4
Comedy = 25 out of 100 = \(\frac{1}{4}\)
Sports = 50 out of 100 = \(\frac{1}{2}\)
Drama = 10 out of 100 = \(\frac{1}{10}\)
Other = \(\frac{15}{100}\) = \(\frac{3}{20}\)
Draw a circle with sectors for \(\frac{1}{2}\), \(\frac{1}{4}\), and \(\frac{1}{100}\) and label those sectors with the program type. The remaining sector shows \(\frac{3}{20}\) or Other.

Remember a circle graph shows the whole amount (100%) and each sector represents a part of the whole amount.
Jill spent a total of 30 hours exercising last month: Jogging: 15 hours; Cycling: 10 hours; Swimming: 5 hours.
Envision Math Grade 5 Answers Topic 19 Reteaching 5
Question 1.
Copy the circle graph and label each sector with the activity and fraction.
Answer:

Question 2.
What fraction represents the part of the day Jill spent cycling?
Answer:

Set D, pages 430-431

Students were asked to name their favorite animal. Make a bar graph to show the results.
Envision Math Grade 5 Answers Topic 19 Reteaching 6

Remember that making a graph makes it easy to visualize data and answer questions about the data.
Envision Math Grade 5 Answers Topic 19 Reteaching 7
Question 1.
Make a line graph of the data.
Answer:

Question 2.
Which month has a snowfall
Answer:

Question 3.
times as great as December?
Answer:

Set E, pages 432-433

Find the mean of this data set:
2, 3, 8, 3, 5, 6, 1
The mean is an average. To find the mean, add the data and divide by the number of data.
(2 + 3 + 8 + 3 + 5 + 6 + 1) ÷ 7 = 28 ÷ 7 = 4
The mean is 4.

Remember that the mean is an average. You must add the data and divide by the number of addends.
Question 1.
5, 4, 1,3, 1, 10
Answer:

Question 2.
6, 9, 5, 2, 8
Answer:

Question 3.
4, 2, 2, 5, 3, 3, 2
Answer:

Set F, pages 434-435

Find the median, mode, and range for this set of data: 10, 15, 20, 12, 10

To find the median, list the data in order from least to greatest and find the middle value.
10, 10, 12, 15, 20 The median is 12.

To find the mode, list the data in order from least to greatest and find the value that occurs most often.
10, 10, 12, 15, 20 The mode is 10.

To find the range, subtract the least value from the greatest value.
20 – 10 = 10 The range is 10.

Remember that if there is an even number of data, you must add the two middle numbers when the data are ordered from least to greatest and divide by 2 to find the median.
Question 1.
Find the median of this data set:
27.5 27 30 29.5
Answer:

Question 2.
Find the mode of this data set:
12, 6, 9, 5, 8, 12, 8, 1,4, 12, 6
Answer:

Question 3.
Find the range of this data set:
87, 84, 90, 75, 100, 88
Answer:

Set G, pages 436-437

Judy can pick either a hamburger or a chicken sandwich and then either a coleslaw, potato salad, or a fruit salad. How many different lunch combinations can she have?
Draw a tree diagram.
Envision Math Grade 5 Answers Topic 19 Reteaching 8
There are 6 possible combinations, so Judy has a choice of 6 different lunches.

Remember that when you make a tree diagram, start with 1 item and list all the possible combinations with it. Continue with all the items.
Question 1.
Make a tree diagram to show the sample space for tossing a number cube and then tossing a quarter.
Answer:

Question 2.
Make a tree diagram to show the results of choosing among tuna, cheese, and turkey sandwiches, and milk and juice drinks.
Answer:

Set H, pages 438-440

You spin the spinner once. Find P (landing in a green section).
Envision Math Grade 5 Answers Topic 19 Reteaching 9
Probability = \(\frac{\text { number of favorable outcomes }}{\text { number of possible outcomes }}\)
So, P (green) = \(\frac{3}{6}\) = \(\frac{1}{2}\)

Remember that when you express a probability as a fraction, always write the fraction in simplest form.

Use the letters in MATHEMATICS. Each letter is written on a separate piece of paper and the pieces are put in a bag.
Find the probability of choosing each letter or letters out of the bag.
Question 1.
P (a consonant)
Answer:

Question 2.
P (the letter A)
Answer:

Question 3.
P (not the letter A)
Answer:

Set I, pages 442-443

To solve a simpler problem, follow these steps:
Step 1:
Break apart or change the problem into one that is simpler to solve.

Step 2:
Draw a picture or use objects to look for a pattern to solve the simpler problem.

Step 3:
Use the answers to the simpler problem to solve the original problem.

Four people shake hands with each other once. How many handshakes are there in all?
Use A, B, C, D to represent the people.
AB, AC, AD BC, BD, CD
There are 6 handshakes.

Remember that you can draw a picture or use objects to look for a pattern in finding the relationship between the simpler problem and the original problem.
Question 1.
How many different teams of 2 people can be chosen from 4 people?
Answer:

Question 2.
How many different teams of 3 people can be chosen from 5 people?
Answer:

Question 3.
What is the sum of the angles of an octagon?
Answer:

Envision Math Grade 5 Answer Key Topic 19 Test Prep

Envision Math 5th Grade Textbook Answer Key Topic 19 Test Prep

Test Prep

Question 1.
The histogram shows the results from a survey asking people how many plays they have seen in the last year. How many people have seen more than 3 plays? (19-2)
Envision Math 5th Grade Textbook Answer Key Topic 19 Test Prep 1
A. 26
B. 15
C. 11
D. 8
Answer:

Question 2.
The music teacher is choosing two students out of 10 to sing a duet in the musical. How many different pairs of students must try out if she wants to try every possible pair? (19-9)
A. 50
B. 45
C. 20
D. 12
Answer:

Question 3.
James is drawing the picture graph below to show the number of license plates from each state he saw on a recent trip. He saw 15 Arizona license plates. Which picture should he draw for Arizona? (19-1)
Envision Math 5th Grade Textbook Answer Key Topic 19 Test Prep 2
Answer:

Question 4.
The shoe sizes of the starting players on the girls’ basketball team are listed below. What is the median of these numbers? (19-6)
7, 6, 5, 6, 8
A. 5
B. 6
C. 7
D. 8
Answer:

Question 5.
According to the circle graph below, about what fraction of the t-shirts sold were x-large? (19-3)
Envision Math 5th Grade Textbook Answer Key Topic 19 Test Prep 3
A. \(\frac{1}{3}\)
B. \(\frac{1}{4}\)
C. \(\frac{1}{5}\)
D. \(\frac{1}{6}\)
Answer:

Question 6.
The table shows the heights of a group of friends. What is the mean height of the group in inches? (19-5)
Envision Math 5th Grade Textbook Answer Key Topic 19 Test Prep 4
A. 61
B. 60
C. 59
D. 58
Answer:

Question 7.
A college student plans to take biology, algebra, and literature in the morning. Each letter represents the first letter of each class. Which list below shows all the different orders that these three classes can be taken? (19-7)
Answer:
A. BAL, BAB, LAB
B. BAL, LAB, ABL, LBA
C. BAL, BLA, ALB, LAB, ABL
D. BAL, BLA, ALB, ABL, LAB, LBA
Answer:

Question 8.
The cards shown are placed in a bag and one is drawn without looking. What is the probability Bobby’s name is drawn? (19-8)
Envision Math 5th Grade Textbook Answer Key Topic 19 Test Prep 5
A. \(\frac{1}{8}\)
B. \(\frac{2}{8}\)
C. \(\frac{3}{8}\)
D. \(\frac{3}{5}\)
Answer:

Question 9.
An airline company is making a graph to display the number of each type of ticket they have available on a flight including first class, business class and economy. Which type of graph would be best to display the data? (19-4)
A. Bar or picture graph
B. Line plot
C. Circle graph
D. Line graph
Answer: