## Envision Math Common Core 1st Grade Answers Key Topic 8 Understand Place Value

**enVision STEM Project: Daylight Throughout the Year**

**Find Out** Talk to friends and relatives about why there is more daylight in summer than in winter.

Ask them to help you find information about the changes in daylight each season.

**Journal: Make a Book** Draw pictures of the tilting globe and the sun at different times of the year. In your book, also:

- Add labels to show summer and winter.
- Write a sentence to describe the pattern of the seasons in your own words.

**Review What You Know**

**Vocabulary**

Question 1.

Circle the tens digit.

Answer:

Explanation:

Given 2 digit number 48.

Two digit number have tens place and ones place.

4 is in tens place and 8 in ones place

4 is circled as tens digit.

Question 2.

Circle the ones digit.

Answer:

Explanation:

Given 2 digit number 76.

Two digit number have tens place and ones place.

7 is in tens place and 6 in ones place

6 is circled as ones digit.

Question 3.

Use the ten-frames to find the sum.

7 + 9 = ___

Answer:

**Counting to 120**

Question 4.

Write the number that comes next when counting forward by Is. Use a hundred chart to help you.

110, 111, 112, ____

Answer:

110, 111, 112, **113
**Explanation:

**Given**

A sequence of 3 digit numbers

110, 111, 112, ____ and asked to find the 4th digit by counting forward by Is

3 digit number have hundreds place tens place and ones place

Since counting forward by 1s

we add the 1 to the ones place of 3rd digit to get the 4th digit keeping the tens place and hundreds place constant.

112 + 001 = 113.

Missing number is

**113.**

Question 5.

Maria counts by 10s. She starts at 30. Write the missing numbers.

30, ___, ___

60, ___

Answer:

30, **_40__, _50__**

60, **_70__
**Explanation:

Maria counts by 10s

Given

30, ___, ___ and 2 number missing to find the missing number we add 1 to the tens place keeping ones place constant.

given

30 = 3 is tens digit and 0 ones digit.

Adding tens digit with 1

3 + 1 = 4, 4 + 1 = 5.

30,

**_40__,_50__**

60 = 6 tens digit and 0 ones digit

**60 + 10 = 70**

60,

**_70__**

**Hundred Chart**

Question 6.

Write the missing numbers in this part of the hundred chart.

Answer:

**pick a Project**

**PROJECT 8A**

What do you put on your hot dog?

Project: Act Out Serving Up Hot Dogs

Answer:

Topping on the Hot dog

1. Hot dog bun.

2. Veg- dog or Non- Veg dog

3. Onion

4. Jalapenos

5. Lattice

6. Herbs

7. Sauces.

**PROJECT 8B**

What is your favorite color?

Project: Make a Color Poster

**PROJECT 8C**

Can you eat a tiger?

Project: Play a Cracker Stack Game

**PROJECT 8D**

Which sea creatures have 10 legs?

Project: Make a Finger Painting

Answer:

### Lesson 8.1 Make Numbers 11 to 19

**Solve & Share**

Use counters and ten-frames to show 12, then 15, and then 18. Draw your counters in the ten-frames below. Tell what is the same and different about each number you show.

**Visual Learning Bridge**

Answer:

**Convince Me!**

How could you use ten-frames to show 13 counters?

Answer:

Explanation:

one group of 10 ones = 1 ten

13 is made up of one group of 10 ones and 3 ones

13 is 1 ten and 3 ones.

**Guided Practice**

Use counters to make each number. Then write each number as I ten and some ones.

Question 1.

twelve

is 1 ten and ones.

Answer:

Explanation:

one group of 10 ones = 1 ten

12 is made up of one group of 10 ones and 2 ones

12 = 10 + 2

12 is 1 ten and 2 ones.

Question 2.

fourteen

is 1 ten and ___ ones.

Answer:

Explanation:

one group of 10 ones = 1 ten

14 is made up of one group of 10 ones and 4 ones

14 = 10 + 4

14 is 1 ten and 4 ones.

Question 3.

fifteen

is 1 ten and __ ones.

Answer:

Explanation:

one group of 10 ones = 1 ten

15 is made up of one group of 10 ones and 5 ones

15 = 10 + 5

15 is 1 ten and 5 ones.

**Independent Practice**

Use counters to make each number. Then write the word or number.

Question 4.

sixteen

is ___ ten and 6 ones.

Answer:

Explanation:

one group of 10 ones = 1 ten

16 is made up of one group of 10 ones and 6 ones

16 = 10 + 6

16 is 1 ten and 6 ones.

Question 5.

____

is 1 ten and 8 ones.

Answer:

Explanation:

one group of 10 ones = 1 ten

18 is made up of one group of 10 ones and 8 ones

18 = 10 + 8

18 is 1 ten and 8 ones.

Question 6.

thirteen

is 1 ten and __ ones.

Answer:

is 1 ten and __ ones.

Explanation:

one group of 10 ones = 1 ten

13 is made up of one group of 10 ones and 3 ones

13 = 10 + 3

13 is 1 ten and 3 ones.

Question 7.

eleven

is ___ ten and 1 one.

Answer:

Explanation:

one group of 10 ones = 1 ten

11 is made up of one group of 10 ones and 1 ones

11 = 10 + 1

11 is 1 ten and 1 ones.

Question 8.

_____

is 1 and 7 ones.

Answer:

Explanation:

one group of 10 ones = 1 ten

17 is made up of one group of 10 ones and 7 ones

17 = 10 + 7

17 is 1 ten and 7 ones.

Question 9.

nineteen

is 1 ten and 9 ones.

Answer:

Explanation:

one group of 10 ones = 1 ten

19 is made up of one group of 10 ones and 9 ones

19 = 10 + 9

19 is 1 ten and 9 ones.

Question 10.

**Vocabulary** Circle the tens and ones that match the words shown.

Answer:

Explanation:

one group of 10 ones = 1 ten

12 is made up of one group of 10 ones and 2 ones

12 = 10 + 2

12 is 1 ten and 2 ones.

Explanation:

one group of 10 ones = 1 ten

15 is made up of one group of 10 ones and 5 ones

15 = 10 + 5

15 is 1 ten and 5 ones.

**Problem Solving**

Solve each problem below.

Question 11.

**Use Tools** Jill has 14 buttons and 2 boxes. She puts 10 buttons in one box. How many buttons does Jill put in the other box? Draw counters to solve. Write the numbers.

___ buttons

__ is ___ ten and __ ones.

Answer:

Question 12.

**Higher Order Thinking** Choose a number between 11 and 14. Draw a picture to show how to make the number with ten-frames. Write the number and the number word.

Answer:

Question 13.

**Assessment Practice** Match the groups or numbers on the left with the number word on the right.

Answer:

### Lesson 8.2 Numbers Made with Tens

**Solve & Share**

How are 2 tens and 20 ones alike and different?

Use cubes to show your answer. Then draw your cubes.

**Visual Learning Bridge**

Answer:

**Convince Me!**

How many tens are in 90? How do you know?

Answer:

Explanation:

10 cubes make 1 ten.

To count the number of tens in 90

we count by 10’s as 10,20,30,40,50,60,70,80,90.

we count by tens as 1 ten, 2 tens, 3 tens, 4 tens, 5 tens, 6 tens, 7 tens, 8 tens, 9 tens.

There are 90 cubes

90 is 9 tens and 0 ones.

**Guided Practice**

Use cubes. Count by 10s. Write the numbers.

Question 1

Answer:

Explanation:

10 cubes make 1 ten.

Here are 3 ten.

Count by 10’s to

10, 20, 30.

There are 30 cubes in all.

3 tens and 0 ones is 30.

Question 2.

___ tens and ___ ones is ____.

Answer:

Explanation:

10 cubes make 1 ten.

Here are 5 ten.

Count by 10’s to

10, 20, 30, 40, 50.

There are 50 cubes in all.

5 tens and 0 ones is 50.

**Independent Practice**

Use cubes. Count by 10s. Draw the cubes. Write the numbers.

Question 3.

6 tens and 0 ones is ___.

Answer:

Explanation:

10 cubes make 1 ten.

Here are 6 ten.

Count by 10’s to

10, 20, 30, 40, 50, 60.

There are 60 cubes in all.

6 × 10 = 60.

6 tens and 0 ones is **Sixty**.

Question 4.

___ tens and ___ ones is 90.

Answer:

Explanation:

10 cubes make 1 ten.

Here are 9 ten.

Count by 10’s to

10, 20, 30, 40, 50, 60, 70, 80, 90.

There are 90 cubes in all.

9 × 10 = 90.

9 tens and 0 ones is **Ninety.**

Question 5.

8 tens and 0 ones is ___.

Answer:

Explanation:

10 cubes make 1 ten.

Here are 8 ten.

Count by 10’s to

10, 20, 30, 40, 50, 60, 70, 80.

There are 80 cubes in all.

8 × 10 = 80.

8 tens and 0 ones is **Eighty.**

Question 6.

__ tens and ___ ones is 70.

Answer:

Explanation:

10 cubes make 1 ten.

Here are 7 ten.

Count by 10’s to

10, 20, 30, 40, 50, 60, 70.

There are 70 cubes in all.

7 × 10 = 70.

7 tens and 0 ones is **Seventy**

Question 7.

**Number Sense** Joey has 2 tens. He wants to trade the tens for ones. How many ones should Joey get?

____ ones

Answer:

Number of tens Joey has = 2 tens

Joey wants to trade tens for ones.

1 ten = 10 ones

So, 2 tens = 2 × 10 = 20 ones.

Joel gets **20 ones** foe 2 tens.

**Problem Solving**

Solve the problems below.

Question 8.

**Reasoning** There are 2 buses. 10 people are in each bus. How many people ride in the buses? Count by 10s. Draw a picture to solve.

Answer:

Question 9.

**Reasoning** George has 3 boxes of pens. 10 pens are in each box. How many pens does George have?

___ pens

Answer:

Question 10.

**Higher Order Thinking** Brian has a book. He reads 10 pages every day. Show how many pages Brian reads in 5 days. Use pictures, numbers, or words.

Answer:

Question 11.

**Assessment Practice**

Beth has 4 jars. Each jar has 10 bouncy balls in it. How many bouncy balls does Beth have in all?

Answer:

Number of Jars Beth has = 4

Number of bouncy balls in each jar = 10

Total number of bouncy balls in the 4 jars = 10 + 10 + 10 + 10 = 40

4 × 10 = 40.

C)40 is the answer.

There are **40 bouncy balls **in the jars.

### Lesson 8.3 Count with Groups of Tens and Ones

**Solve & Share**

Tara has 34 cubes. How many groups of 10 can she make with the cubes? Show your work in the space below.

Answer:

**Visual Learning Bridge**

**Convince Me!**

Why does 37 have 3 groups of 10 and not 4 groups of 10?

Answer:

37 = 10 + 10 + 10 + 7

= 3 tens and 7 ones

= 3 groups of 10 and 7 ones.

4 groups of 10 = 10 + 10 + 10 + 10 = 40

So, 37 has 3 groups of 10 and 7 ones.

**Guided Practice**

Circle groups of 10. Write the numbers.

Question 1.

Answer:

Explanation:

2 sets of 5 cubes make 10.

Here 5 sets of 5 cubes and 2 cubes

out of 5 set of 5 cubes 4 sets of 5 cubes make a

5 + 5 = 10

5 + 5 = 10

2 group of 10’s are formed.

The left over cubes are ones = 5 + 2 = 7 ones.

2 groups of 10’s and 7 ones = 27 .

Question 2.

Answer:

Explanation:

2 sets of 5 cubes make 10.

Here 7 sets of 5 cubes and 9 cubes

out of 7 set of 5 cubes 6 sets of 5 cubes make a

5 + 5 = 10

5 + 5 = 10

5 + 5 = 10

3 group of 10’s are formed.

The left over cubes are ones = 5 + 4 = 9 ones.

3 groups of 10’s and 9 ones = 39.

**Independent Practice**

Circle the groups of 10. Write the numbers.

Question 3.

___ groups of 10 and ___ ones is ___.

Answer:

Explanation:

2 sets of 5 cubes make 10.

Here 8 sets of 5 cubes and 3 cubes

8 sets of 5 cubes make a

5 + 5 = 10

5 + 5 = 10

5 + 5 = 10

5 + 5 = 10

4 group of 10’s are formed.

The left over cubes are ones = 3 = 3 ones.

4 groups of 10’s and 3 ones = 43.

Question 4.

___ groups of 10 and __ ones is ____.

Answer:

Explanation:

2 sets of 5 cubes make 10.

Here 7 sets of 5 cubes

out of 7 set of 5 cubes 6 sets of 5 cubes make a

5 + 5 = 10

5 + 5 = 10

5 + 5 = 10

3 group of 10’s are formed.

The left over cubes are ones = 5 = 5 ones.

3 groups of 10’s and 5 ones = 35.

Question 5.

___ group of 10 and ___ ones is ___.

Answer:

Explanation:

2 sets of 5 cubes make 10.

Here 3 sets of 5 cubes and 1 cubes

out of 3 set of 5 cubes 2 sets of 5 cubes make a

5 + 5 = 10

1 group of 10’s are formed.

The left over cubes are ones = 5 + 1 = 6 ones.

1 groups of 10’s and 6 ones = 16.

Question 6.

___ groups of 10 and ___ ones is ___.

Write the number of groups of 10 and the number of ones. Then write the total.

Answer:

Explanation:

2 sets of 5 cubes make 10.

Here 9 sets of 5 cubes and 3 cubes

out of 9 set of 5 cubes 8 sets of 5 cubes make a

5 + 5 = 10

5 + 5 = 10

5 + 5 = 10

5 + 5 = 10

4 group of 10’s are formed.

The left over cubes are ones = 5 +3 = 8 ones.

4 groups of 10’s and 8 ones = 48.

Question 7.

___ groups of 10 and ___ ones is ___.

Answer:

Explanation:

2 sets of 5 cubes make 10.

Here 5 sets of 5 cubes

out of 5 set of 5 cubes 4 sets of 5 cubes make a

5 + 5 = 10

5 + 5 = 10

2 group of 10’s are formed.

The left over cubes are ones = 5 = 5 ones.

2 groups of 10’s and 5 ones = 25.

Question 8.

__ groups of 10 and ___ ones is __.

Answer:

Explanation:

2 sets of 5 cubes make 10.

Here 4 sets of 5 cubes

4 sets of 5 cubes make a

5 + 5 = 10

5 + 5 = 10

2 group of 10’s are formed.

The left over cubes are ones = 2 = 2 ones.

2 groups of 10’s and 2 ones = 22.

**Problem Solving**

Draw a picture and write the numbers to solve each Solving problem below.

Question 9.

**Model** A monkey has 32 bananas. 10 bananas are in each bunch.

How many bunches are there? ____

How many bananas are left over? ___

Answer:

Question 10.

**Model** The dogs have 21 bones. 10 bones are in each bowl.

How many bowls are there? ____

How many bones are left over? ____

Answer:

Question 11.

**Higher Order Thinking**

Amil writes a number. His number has 5 groups of 10. His number has less than 9 ones. What number could Amil have written? ____

Answer:

Number of groups of 10’s Amil number has = 5

10 + 10 + 10 + 10 + 10 = 50

Number of ones Amil number has = less than 9

less than 9 may be = 1,2, 3, 4, 5, 6, 7, 8.

The number may be

5 groups of 10’s and 1 ones = 51

5 groups of 10’s and 2 ones = 52

5 groups of 10’s and 3 ones = 53

5 groups of 10’s and 4 ones = 54

5 groups of 10’s and 5 ones = 55

5 groups of 10’s and 6 ones = 56

5 groups of 10’s and 7 ones = 57

5 groups of 10’s and 8 ones = 58.

Amil number may be 51, 52, 53, 54, 55, 56, 57, 58.

Question 12.

**Assessment Practice**

A store has 5 bunches of grapes and 3 left over. Each bunch has 10 grapes. How many grapes are there in all? Explain.

Answer:

Number of bunches of grapes in the store = 5

Number of grapes in each bunch = 10 grapes

Number of left over = 3

Number of grapes in 5 bunches = 10 + 10 + 10 + 10 + 10 = 50 grapes.

Total number of grapes = 50 grapes and 3 left over is 53 grapes.

### Lesson 8.4 Tens and Ones

**Solve & Share**

Estimate how many cubes are in your bag. Then empty the bag in the space below. Without counting each cube, estimate how many cubes there are. Write each estimate.

Now count the cubes and write the total number of cubes.

Estimate 1: ___ cubes

Estimate 2: ___ cubes

Actual amount: ___ cubes

Answer:

**Visual Learning Bridge**

**Convince Me!**

How are these numbers alike? How are they different?

Answer:

46 and 64 are two digit numbers

Two digit number have tens and ones.

Both the number have tens and ones digits only.

They are different as the place values of the number are different.

46 has 4 in tens place and 6 in ones place

64 has 6 in tens place and 4 in ones place .

**Guided Practice**

Use cubes. Count the tens and ones. Then write the numbers.

Question 1.

Answer:

Explanation:

Given

3 sets of 10 cubes in tens place

5 + 3 = 8 cubes in ones place

30 + 8 = 38.

3 tens and 8 ones is 38.

3 in 38 is the tens digit

8 in 38 is the ones digit.

Question 2.

Answer:

Explanation:

Given

4 sets of 10 cubes in tens place

1 cubes in ones place

40 + 1 = 41

4 tens and 1 ones is 41.

4 in 41 is the tens digit

1 in 41 is the ones digit.

**Independent Practice**

Use cubes. Count the tens and ones. Then write the numbers.

Question 3.

___ Ten and ___ ones is ___.

Answer:

Explanation:

Given

1 sets of 10 cubes in tens place

5 + 4 = 9 cubes in ones place

10 + 9 = 19

1 ten and 9 ones is 19.

1 in 19 is the tens digit

9 in 19 is the ones digit.

Question 4.

___ tens and ___ ones is ___.

Answer:

Explanation:

Given

2 sets of 10 cubes in tens place

3 cubes in ones place

20 + 3 = 23

2 tens and 3 ones is 23.

2 in 23 is the tens digit

3 in 23 is the ones digit.

Question 5.

___ tens and ___ ones is ___.

Answer:

Explanation:

Given

4 sets of 10 cubes in tens place

5 + 3 = 8 cubes in ones place

40 + 8 = 48

4 tens and 8 ones is 48.

4 in 48 is the tens digit

8 in 48 is the ones digit.

Solve the problem below any way you choose.

Question 6.

Number Sense Bill writes a number. It has the same number of tens and ones. What could Bill’s number be?

Answer:

The number Bill wrote has same number of tens and ones.

Bills number may be any of these numbers.

1 ten and 1 one is 11

2 tens and 2 ones is 22

3 tens and 3 ones is 33

4 tens and 4 ones is 44

5 tens and 5 ones is 55

6 tens and 6 ones is 66

7 tens and 7 ones is 77

8 tens and 8 ones is 88

9 tens and 9 ones is 99.

Bill number may be 11, 22, 33, 44, 55, 66, 77, 88, 99.

**Problem Solving**

Solve each problem below.

Answer:

Question 7.

**Reasoning** Luz has juice boxes at her party. There are 3 packages of 10 and 7 extra juice boxes.

How many juice boxes are there in all?

Write the number of tens and ones. Then write the total number of juice boxes.

Answer:

Question 8.

**Higher Order Thinking** Draw a picture to show a number greater than 25 and less than 75. Then write the number.

Answer:

Question 9.

**Assessment Practice** Kai brought 2 packages of 10 juice boxes and 5 extra juice boxes. How many juice boxes did Kai bring? Write the number of tens and ones. Then write the total number of juice boxes.

Answer:

### Lesson 8.5 Continue with Tens and Ones

**Solve & Share**

Laylani has 28 buttons. Draw her buttons so that a friend can see that there are 28 buttons without counting them one by one.

Answer:

**Visual Learning Bridge**

**Convince Me!**

When you draw to model a number, which digit tells you how many lines to draw? Which digit tells you how many dots to draw?

Answer:

When we draw a model a number

**Tens** place digit tells us to draw the number of lines.

**Ones** place digit tells us to draw the number of dots.

**Guided Practice**

Write the numbers and draw a model to show each number. Count by tens and ones to check.

Question 1.

Answer:

Explanation:

Given number 17

17 is 1 ten and 7 ones.

Tens are represented with a LINE.

Ones are represented with DOTS.

17 is represented with 1 line and 7 dots.

Question 2.

29 is ___ tens and ___ ones.

Answer:

Explanation:

Given number 29

29 is 2 ten and 9 ones.

Tens are represented with a LINE.

Ones are represented with DOTS.

29 is represented with 2 line and 9 dots.

**Independent Practice**

Write the numbers and draw a model to show each number. Count by tens and ones to check.

Question 3.

There are ___ tens and ___ ones in 43.

Answer:

There are 4 tens and 3 ones.

Explanation:

Given number 43

43 is 4 ten and 3 ones.

Tens are represented with a LINE.

Ones are represented with DOTS.

43 is represented with 4 line and 3 dots.

Question 4.

There are ___ tens and ___ ones in 86.

Answer:

Explanation:

Given number 86

86 is 8 ten and 6 ones.

Tens are represented with a LINE.

Ones are represented with DOTS.

86 is represented with 8 line and 6 dots.

Question 5.

There are ___ ten and __ ones in 15.

Answer:

Explanation:

Given number 15

15 is 1 ten and 5 ones.

Tens are represented with a LINE.

Ones are represented with DOTS.

15 is represented with 1 line and 5 dots.

Question 6.

There are ___ tens and ___ ones in 37.

Answer:

Explanation:

Given number 37

37 is 3 ten and 7 ones.

Tens are represented with a LINE.

Ones are represented with DOTS.

37 is represented with 3 line and 7 dots.

Question 7.

There are ___ tens and ___ ones in 62.

Answer:

Explanation:

Given number 62

62 is 6 ten and 2 ones.

Tens are represented with a LINE.

Ones are represented with DOTS.

62 is represented with 6 line and 2 dots.

Question 8.

There are ___ tens and __ ones in 24.

Answer:

Explanation:

Given number 24

24 is 2 ten and 4 ones.

Tens are represented with a LINE.

Ones are represented with DOTS.

24 is represented with 2 line and 4 dots.

**Problem Solving**

Solve the problems below.

Question 9.

**Model** Kevin draws the model below to show a number. What number is Kevin showing?

Answer:

Question 10.

**enVision® STEM** Gina is collecting

data on the number of hours of daylight in the fall and winter. She records data for 68 days. Draw a model to show 68.

Answer:

Question 11.

**Higher Order Thinking** Peyton starts drawing a model for the number 48, but she is interrupted. Help her finish her model.

Answer:

Question 12.

**Assessment Practice** Which number is represented here?

Answer:

Given

2 lines and 3 dots

Line represent Tens

Dot represents Ones.

2 lines = 10 + 10 = 20

3 dots = 3

The number which is represented is 20 + 3 = 23.

Answer is C)23.

### Lesson 8.6 Different Names for the Same Number

**Solve & Share**

Use cubes. Show two different ways to make 28. Draw each way in the spaces below.

**Visual Learning Bridge**

**Convince Me!**

How could you break apart 24 using only I ten? Explain.

Answer:

24 is 2 tens and 4 left over

24 is 2 tens and 4 ones

breaking 24 using only 1 ten

Breaking other ten to make 10 more ones

24 is 1 ten and 14 ones.

**Guided Practice**

Count the tens and ones. Write different Practice ways to show the number.

Question 1.

Write two ways to break apart 34.

Answer:

Explanation:

Given a model of number 34 in two different ways

34 is represented as

34 is 3 tens and 4 ones in 1st case.

In 2nd case

out of 3 tens. 1 ten is broken down to make 10 more ones.

34 is 2 tens and 14 ones.

**Independent Practice**

Count the tens and ones. Write different ways to show each number.

Question 2.

Write two ways to break apart 21.

21 is ___ ten and __ one.

Answer:

Explanation:

Given to break apart 21 in two way

Case 1.

21 is represented as

21 is 2 tens and 1 ones

21 = 20 + 1

In 2nd case

out of 2 tens. 1 ten is broken down to make 10 more ones.

21 is 1 tens and 11 ones.

21 = 10 + 11.

Question 3.

Draw models and write two ways to break apart 59.

59 is ___ tens and ___ ones.

59 is __ tens and ___ ones.

Answer:

Explanation:

Given to break apart 59 in two way

Case 1.

59 is represented as

59 is 5 tens and 9 ones

59 = 50 + 9

In 2nd case

out of 5 tens. 1 ten is broken down to make 10 more ones.

59 is 4 tens and 19 ones.

59 = 40 + 19 .

Write each number in two different ways. Use cubes to help if needed.

Question 4.

Show two ways to break apart 44.

44 is __ tens and ___ ones.

Answer:

Explanation:

Given to break apart 44 in two way

Case 1.

44 is represented as

44 is 4 tens and 4 ones

44 = 40 + 4

In 2nd case

out of 4 tens. 1 ten is broken down to make 10 more ones.

44 is 3 tens and 14 ones.

44 = 30 + 14.

Question 5.

Show two ways to break apart 25.

25 is __ tens and __ones.

25 is __ tens and ___ ones.

Answer:

Explanation:

Given to break apart 25 in two way

Case 1.

25 is represented as

25 is 2 tens and 5 ones

25 = 20 + 5

In 2nd case

out of 2 tens. 1 ten is broken down to make 10 more ones.

25 is 1 tens and 15 ones.

25 = 10 + 15.

**Problem Solving**

Solve the problems below.

Question 6.

Explain Nate says 5 tens and 3 ones shows the same number as 3 tens and 13 ones. Do you agree? Explain.

Answer:

5 tens and 3 ones shows

50 + 3 = 53

3 tens and 13 ones shows

30 + 13 = 43

No, they both don’t show the same number.

To show the same number as

5 tens and 3 ones = 50 + 3 = 53

It should be 4 tens and 13 ones = 40 + 13 = 53 or

as given 3 tens and 13 ones add 10 more ones

3 tens and 23 ones = 30 + 23 = 53.

Question 7.

**Number Sense** Nancy shows a number as 4 tens and 16 ones. What number does she show?

Answer:

Nancy’s number shows 4 tens and 16 ones

4 tens and 16 ones = 40 + 16 = 56.

Nancy’s number is 56

Question 8.

What number is shown on the mat?

Answer:

Question 9.

Jeff picks 36 apples. He puts some of the apples in bags. Each bag holds 10 apples. Show two ways Jeff can put the apples in bags.

___ bags and __ apples left over

__ bags and __ apples left over

Answer:

Question 10.

**Higher Order Thinking** Meg breaks apart the number 80 three ways. What could be those ways?

___ tens and ___ ones

___ tens and ___ ones

___ tens and ___ ones

Answer:

Three ways Meg breaks apart the number 80 are

**_80__** tens and **_0__** ones

80 + 0 = 80

**_70__** tens and **_10__** ones

70 + 10 = 80

**_60__** tens and **_20__** ones

60 + 20 = 80.

Question 11.

**Assessment Practice** which is a way to break apart 38? Choose two that apply.

2 tens and 18 ones

2 tens and 8 ones

1 ten and 28 ones

8 tens and 3 ones

Answer:

The ways to break 38 are

3 tens and 8 ones

2 tens and 18 ones

1 ten and 28 ones

0 tens and 38 ones

In the above option given

2 tens and 18 ones is 38

1 ten and 28 ones is 38 make 38 other 2 options make

2 tens and 8 ones is 28

8 tens and 3 ones is 83.

### Lesson 8.7 Look For and Use Structure

**Solve & Share**

Barry showed the number 42 with cubes. What are some of the ways he could have shown 42? Write the tens and ones to show the ways. Describe any patterns you see in the table.

**Thinking Habits**

Is there a pattern to the answers? How does the pattern help me? What do the answers have in common?

**Visual Learning Bridge**

**Convince Me!**

How can you help you. Talk to a partner about patterns use patterns to show all the ways to break apart a number into tens and ones?

**Guided Practice**

Make a list to solve. You can use cubes to help you. Talk to partner about patterns you see in your list.

Question 1.

Carly lists all the ways to 25 as tens and ones. What ways does she list?

Answer:

Explanation:

Here different way of 25 are represented

as you look at the ways you can notice a pattern

Ten decrease by 1 and Ones increase by 10.

Question 2.

Andy wants to show 31 as tens and ones. What are all the ways?

Answer:

Explanation:

Here different way of 31 are represented

as you look at the ways you can notice a pattern

Ten decrease by 1 and Ones increase by 10.

**Independent Practice**

Question 3.

Alma lists all the ways to show 46 as tens and ones. What ways does she list?

Answer:

Question 4.

Seth wants to show 33 as tens and ones. What are all the ways?

Answer:

Question 5.

**Higher Order Thinking** Dana says there are 4 ways to show 25 using tens and ones. Is she right? How do you know?

Answer:

**Problem Solving**

**Performance Task**

**Bake Sale** Rose brings 48 muffins to a bake sale. She only uses trays for groups of 10 muffins. Each plate holds only I muffin. How many trays and plates could Rose use to display the muffins?

Question 6.

**Look For Patterns** Fill in the table to show how many trays and plates Rose could use to display the muffins. Describe a pattern you see in the table.

Answer:

Question 7.

**Reasoning** Is there any way Rose can display her muffins using only trays? Explain how you know.

Answer:

No, Rose can not display her muffins using only trays.

Number of muffins Rose brought = 48

As she used trays for group of 10 muffins.

48 is 4 tens and 8 ones.

If she only uses trays then their will be 8 muffins left over. As she can only display 40 muffins in trays.

### Topic 8 Fluency Practice Activity

**Point&Tally**

Find a partner. Get paper and a pencil. Each partner chooses a different color: light blue or dark blue. Partner I and Partner 2 each point to a black number at the same time. Both partners add those numbers.

If the answer is on your color, you get a tally mark. Work until one partner gets twelve tally marks.

**TOPIC 8 Vocabulary Review**

**Understand Vocabulary**

Question 1.

Write the number word that is one more than fourteen.

Answer:

one more than fourteen is fifteen

1 + 14 = 15.

Question 2.

Write the number word that is one fewer than eighteen.

Answer:

Seventeen is one fewer than eighteen.

18 – 1 = 17.

Question 3.

Circle the cubes that make 2 tens.

Answer:

Explanation:

Given a set of 5 cubes.

There are 7 sets of 5 cubes.

To make 2 tens

2 sets of 5 cubes make 1 ten

So, to make 2 tens we need 4 sets of 5 cubes.

4 sets of 5 cubes make 2 tens.

Question 4.

Circle the cubes that make 1 ten and 5 ones.

Answer:

Explanation:

Given a set of 5 cubes.

There are 7 sets of 5 cubes.

To make 1 tens and 5 ones

2 sets of 5 cubes make 1 ten

So, to make 1 tens we need 2 sets of 5 cubes.

2 sets of 5 cubes make 1 tens.

1 set of 5 cubes make 5 ones.

Question 5.

Circle the cubes that make 3 tens and 3 ones.

Answer:

Explanation:

Given a set of 5 cubes.

There are 7 sets of 5 cubes.

To make 3 tens and 3 ones

2 sets of 5 cubes make 1 ten

So, to make 3 tens we need 6 sets of 5 cubes.

6 sets of 5 cubes make 3 tens.

3 cubes make 3 ones.

**Use Vocabulary in Writing**

Question 6.

Ben shows 33 as 3 tens and 3 ones. Show 33 a different way. Use tens and ones. Explain using a word from the Word List.

Answer:

33 is 2 tens and 13 ones

33 is 2 groups of 10 and 13 ones left overs.

### TOPIC 8 Reteaching

**Set A**

You can group objects by 10 to count.

Answer:

Circle groups of 10. Write the numbers.

Question 1.

___ is ___ groups of 10 and __ ones left over.

Answer:

Explanation:

Given a set of 5 cubes.

There are 5 sets of 5 cubes.

To make groups of 10

2 sets of 5 cubes make 10

So, to make 10 we join 2 sets 5 cubes.

We get 2 groups of 10 and 5 more cubes left over.

2 tens and 5 ones is 25.

Question 2.

___ is ___ groups of 10 and __ ones left over.

Answer:

**Set B**

You can show a two-digit number as tens and ones.

Count the tens and ones. Then write the number.

Answer:

Explanation:

Given a two digit number.

Two digit number has Tens and Ones.

Here given 4 tens cubes in tens place and 3 one cubes is the table.

4 tens = 40

3 ones = 3

4 tens and 3 one is 43.

Question 3.

Answer:

Explanation:

Given a two digit number.

Two digit number has Tens and Ones.

Here given 5 tens cubes in tens place and 4 one cubes is the table.

5 tens = 50

4 ones = 4

5 tens and 4 one is 54.

**Set C**

You can draw a model to show tens and ones.

Answer:

Draw a model to show tens and ones.

Question 4.

There are __ tens and __ ones in 78.

Answer:

Explanation:

Given number 78

78 is 7 ten and 8 ones.

Tens are represented with a LINE.

Ones are represented with DOTS.

78 is represented with 7 line and 8 dots.

**Set D**

**Thinking Habits**

**Look For and Use Structure**

Is there a pattern to the answers? How does the pattern help me? What do the answers have in common?

Use patterns and make a list to solve.

Question 5.

Lupita wants to show all the ways to break apart 54 as tens and ones. What are all the ways?

Answer:

### Topic 8 Assessment Practice

Question 1.

A. Which of these is a way to show 16?

A. 1 ten and 11 ones

B. 1 ten and 6 ones

C. 16 tens and 0 ones

D. 9 tens and 5 ones

Answer:

A. 1 ten and 11 ones is 10 + 11 = 21

B. 1 ten and 6 ones is 10 + 6 = 16

C. 16 tens and 0 ones is 160 + 0 = 160

D. 9 tens and 5 ones is 90 + 5 = 95

way to show 16 is B.

B. Which equation shows why your answer for A is correct?

A. 10+ 11 = 21

B 10+ 6 = 16

C 16 + 2 = 18

D 9 +5 = 14

Answer:

way to show 16

16 is 1 ten and 6 ones

16 is 0 tens and 16 ones.

16 = 10 + 6

So, B 10 + 6 = 16 is correct.

Question 2.

A. Write a way to show 42.

__ groups of ten and __ ones.

Answer:

42 is 4 groups of 10 and 2 ones.

B. Write another way to show 42.

___ groups of ten and ___ ones

Answer:

42 is 3 groups of ten and 12 ones.

Question 3.

___ Tens and ___ Ones is ___.

Answer:

Question 4.

Write two ways to show 1 1.

Answer:

Ways to show 11

11 is 1 ten and 1 one

11 is 0 tens and 11 ones.

These are the ways to show 11.

Question 5.

A. What number does 5 groups of ten represent?

Answer:

5 groups of ten represents

10 + 10+ 10+10+10 = 50.

5 groups of 10 represents 50.

B. What is another way to write 5 groups of ten?

___ groups of ten and ___ ones

Answer:

Another way to represent 5 group of ten

5 group of ten is 50

50 is 4 tens and 10 ones

4 groups of 10 and 10 ones is 50.

Question 6.

A. Which of these is another way to show 4 groups of ten and 9 ones?

A 3 tens and 19 ones

B 5 tens and 0 ones

C 3 tens and 9 ones

D 5 tens and 8 ones

Answer:

A 3 tens and 19 ones is 30 + 19 = 49

B 5 tens and 0 ones is 50 + 0 = 50

C 3 tens and 9 ones is 30 + 9 = 39

D 5 tens and 8 ones is 50 + 8 = 58

Way to show 4 groups of tens and 9 ones is

4 groups of tens and 9 ones = 40 + 9 = 49.

A. 3 tens and 19 ones. is another way to represent 4 groups of tens and 9 ones.

Question 7.

Nicole found 2 ways to make 41. Complete the list to show all of the ways. Then draw a model to show one of the ways.

Answer:

### TOPIC 8 Performance Task

**Snack Time**

Manuel’s class has a snack every day.

Question 1.

On Monday, Manuel and Ryan share 19 crackers. 10 crackers are in one bag. How many crackers are in the other bag?

Explain your answer. Use pictures, numbers, or words. Draw counters to solve. Write the word and numbers.

Answer:

Explanation:

one group of 10 ones = 1 ten

19 is made up of one group of 10 ones and 9 ones

19 = 10 + 9

19 is 1 ten and 9 ones.

Question 2.

On Tuesday, Manuel’s class has 3 packages of juice boxes. There are 10 juice boxes in each package.

How many juice boxes does his class have?

___ juice boxes

Explain your answer. Use pictures, numbers, and words.

Answer:

Explanation:

Given

3 packages of juice boxes

1 package has 10 juice boxes

3 packages of 10 juice boxes each

10 + 10 + 10 = 30

3 tens and 0 ones is 30.

3 in 30 is the tens digit

0 in 30 is the ones digit.

Question 3.

On Wednesday, Manuel’s class has 28 bottles of water.

Manuel starts drawing a model for the bottles. Use lines and dots to finish his drawing.

Explain what the drawing shows.

Answer:

Explanation:

Given number 28

28 is 2 ten and 8 ones.

Tens are represented with a LINE.

Ones are represented with DOTS.

Manuel drew 1 line and 3 dots

To complete the 28 number model

we need to draw more 1 line and 5 dots.

2 line – 1 line = 1 line

8 dots – 3 dots = 5 dots.

28 is represented with 2 line and 8 dots.

Question 4.

On Thursday, Manuel’s class had 34 packages of raisins. How many ways could the packages of raisins be grouped as tens and ones? Make a list to show all of the ways.

Answer:

Question 5.

On Friday, Manuel’s class had 26 bags of grapes. Manuel said that there are 2 ways to group the 26 bags as tens and ones. Do you agree? Circle Yes or No. Explain your answer. Use numbers, pictures, or words.

Answer: