Student Workbook Unit 1

1

Student WorkbookUnit 1

Grade

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ISBN 978-1-64885-802-4

K5_v1

Adding, Subtracting, and Working with DataSection A: Add and Subtract within 10

Lesson 1: Count and Add . . . . . . . . . . . . . . . . . . . . . . . 3

Lesson 2: Explore Expressions and Sums. . . . . . . . . . 4

Lesson 3: Add 1 or 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . 8

Lesson 4: More Work with 1 and 2 . . . . . . . . . . . . . . 10

Lesson 5: Explore Addition and Subtraction . . . . . . 12

Lesson 6: Center Day 1 . . . . . . . . . . . . . . . . . . . . . . . . 15

Section A Practice Problems. . . . . . . . . . . . . . . . . . . . 17

Section B: Show Us Your Data

Lesson 7: Sort Math Tools. . . . . . . . . . . . . . . . . . . . . . 26

Lesson 8: Sort and Count Shape Cards. . . . . . . . . . . 28

Lesson 9: What is Your Favorite ______________ ? . . . 30

Lesson 10: Center Day 2 . . . . . . . . . . . . . . . . . . . . . . . 34

Section B Practice Problems. . . . . . . . . . . . . . . . . . . . 36

Section C: What Does the Data Tell Us?

Lesson 11: Class Pet Surveys . . . . . . . . . . . . . . . . . . . 41

Lesson 12: How Many? . . . . . . . . . . . . . . . . . . . . . . . . 47

Lesson 13: Questions About Data . . . . . . . . . . . . . . . 50

Lesson 14: Center Day 3 . . . . . . . . . . . . . . . . . . . . . . . 55

Lesson 15: Animals in the Jungle . . . . . . . . . . . . . . . . 57

Section C Practice Problems. . . . . . . . . . . . . . . . . . . . 61

Glossary. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68

Attributions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69

Section A: Add and Subtract within 10

Lesson 1: Count and Add

Let’s count objects.

Warm-up: What Do You Know About Math?What do you know about math?

•

Unit 1 Lesson 1 3

Lesson 2: Explore Expressions and Sums

Let’s write addition expressions and find the sum of twonumbers.

•

4

2.1: Matching Dot Cards and ExpressionsMatch each pair of dots to an expression. Then, find the total.

expression total

Unit 1 Lesson 2 5

Draw the missing dots to match the expression. Then, find the total.

Expression:

Total: ____________

Expression:

Total: ____________

Expression:

Total: ____________

6

Write the missing expression to match the dots. Then, find the total.

Expression: _____________________

Total: ____________

Expression: _____________________

Total: ____________

Unit 1 Lesson 2 7

Lesson 3: Add 1 or 2

Let’s add 1 or 2.

Warm-up: How Many Do You See: Dot CubesHow many do you see?How do you see them?

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8

3.2: Centers: Choice TimeChoose a center.

Counting Collections Number Race

Check it Off Five in a Row: Addition andSubtraction

Unit 1 Lesson 3 9

Lesson 4: More Work with 1 and 2

Let’s subtract 1 or 2.

Warm-up: Number Talk: Add 1 or 2Find the value of each expression mentally.

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Unit 1 Lesson 4 11

Lesson 5: Explore Addition and Subtraction

Let’s add and subtract.

Warm-up: Number Talk: Subtract 1 or 2Find the value of each expression mentally.

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Unit 1 Lesson 5 13

Section SummaryWe practiced counting collections.

We added 1 or 2 by counting on.

4 . . . 5, 6

We subtracted 1 or 2 by counting back.

6 . . . 5, 4

We played games with addition and subtraction within 10.

14

Lesson 6: Center Day 1

Let’s play games to practice adding and subtracting.

Warm-up: Which One Doesn’t Belong: Math ToolsWhich one doesn’t belong?

A B

C D

•

Unit 1 Lesson 6 15




Find the Pair

16

Section A Practice Problems1. Pre-unit

Color in the shapes that are triangles.

A B C D

2. Pre-unit

How many do you see?

a. ____________

b. ____________

Unit 1 Section A Practice Problems 17

3. Pre-unit

a. Match the pictures with the expressions.

18

4. How many do you see?

a. ____________

b. ____________

(From Unit 1, Lesson 1.)


5. Circle the expression that matches the dots.

A.

B.

C.


6. Circle the dots that match the expression:


20

7. Find the value of each sum.

a.

b.

c.

d.



8. Find the value of each difference.

a.

b.

c.

d.

e.


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9. Show 2 ways you could use these cards in the game.



10. Exploration

Materials needed:

Number cards 2–10

Two dot cubes

Directions:

a. Choose a number card.Show 2 numbers on the dot cubes that add to make yournumber.

b. Can you show another way?

◦◦

24

11. Exploration

Partner A: Hold up some fingers on each hand.

Partner B: Fill in the blanks to show how many:

Switch roles and play again.


Section B: Show Us Your Data

Lesson 7: Sort Math Tools

Let’s sort objects and describe how many.

Warm-up: Notice and Wonder: Math ToolsWhat do you notice?What do you wonder?

•

26




Find the Pair

Unit 1 Lesson 7 27

Lesson 8: Sort and Count Shape Cards

Let’s sort shapes and show how many.

Warm-up: Which One Doesn’t Belong: ShowQuantitiesWhich one doesn’t belong?

A B

C D

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28

8.2: Show Your Sort1. Show how you sorted the shape cards.

Be sure that someone else who looks at your paper can see howmany shapes are in each category.

2. Complete the sentences:

a. The first category has ____________ shapes.

b. The second category has ____________ shapes.

c. The third category has ____________ shapes.

d. There are ____________ shapes all together.

Unit 1 Lesson 8 29

Lesson 9: What is Your Favorite ______________ ?

Let’s collect, organize, and show data.

Warm-up: How Many Do You See: Dots and MoreDotsHow many do you see?How do you see them?

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9.1: A Class SurveyWhat is your favorite ___________________________________________?

If you chose ___________________, take a red cube.

If you chose ___________________, take a blue cube.

If you chose ___________________, take a yellow cube.

Unit 1 Lesson 9 31

9.2: Show Our Class DataShow the survey data about our class’s favorite

___________________________________________________.

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Section SummaryWe sorted objects and shapes.

We showed our sorts on paper in different ways.

Unit 1 Lesson 9 33


Let’s add and subtract.•

34


Five in a Row: Addition andSubtraction

Check it Off

What's Behind My Back Find the Pair

Unit 1 Lesson 10 35

Section B Practice Problems1. Here are some objects.

a. What are 2 categories you can use to sort these objects?

b. What are 2 different categories you can use to sort theseobjects?


36

2. Here are some objects.

a. Show how you could sort the balls into categories.

b. How many balls are in each category?

category 1:____________

category 2:____________

category 3:____________


Unit 1 Section B Practice Problems 37

3. How are these representations the same?How are they different?


38

4. Exploration

Gather data from the classroom or home.Sort your data into categories.Show how you sorted the data on paper.

Unit 1 Section B Practice Problems 39

5. Exploration

There are 15 pattern blocks in a bag.There are squares, triangles, and hexagons.The chart shows how many squares are in the bag.

How many triangles could be in the bag?

How many hexagons could be in the bag?

Find as many solutions as you can.

40

Section C: What Does the Data Tell Us?

Lesson 11: Class Pet Surveys

Let’s see what the data tells us.

Warm-up: Notice and Wonder: Tally MarksWhat do you notice?What do you wonder?

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Unit 1 Lesson 11 41

11.1: Jada’s Class Pet SurveyJada took a survey of her classmates and asked, “Which animalwould make the best class pet?”

She showed their responses.

42

Decide whether each statement is true or false.

Be ready to explain why.

1. There are 12 votes for rabbit.

2. There are 18 votes all together.

3. 14 students voted for turtle or rabbit.

4. 8 students voted for dog or turtle.

Unit 1 Lesson 11 43

11.2: Interpret Data About Class PetsTyler asked the same survey question to his classmates.He showed their responses.

Write 3 things that you learned about Tyler’s survey data from therepresentation.

1.

44

2.

3.

Unit 1 Lesson 11 45


What’s Behind My Back Check it Off


Find the Pair

46

Lesson 12: How Many?

Let’s answer questions about data.•

Unit 1 Lesson 12 47

12.1: Data Represented with Tally Marks

Our favorite __________________________________________________

category 1 category 2 category 3

1. How many students chose category 1? ____________

2. How many students chose category 2?____________


4. How many students chose category 1 or category 2? ____________

5. How many students took this survey? ____________

48

12.2: Data Represented with Numbers

Our favorite __________________________________________________





4. How many students chose category 1 or category 2? ____________

5. How many students took this survey? ____________

Unit 1 Lesson 12 49

Lesson 13: Questions About Data

Let’s ask and answer questions about data.

Warm-up: Number Talk: Plus or Minus 1 or 2Find the value of each expression mentally.

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13.1: Can You Answer It?Elena asked her classmates, “What is your favorite subject inschool?”She showed their responses below.

Unit 1 Lesson 13 51

Han wrote questions about Elena's data.Decide whether each question can be answered using the datarepresentation.Be ready to explain why.

1. How many students said math is their favorite subject?

2. How many students said writing is their favorite subject?

3. Who said they like reading best?

4. How many students chose reading or science?

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13.2: Ask Questions

Our favorite __________________________________________________


Unit 1 Lesson 13 53

Section SummaryWe looked at different ways to show data.You can show data using tally marks.

You can show data using numbers.

We asked and answered questions about data.

How many students want a turtle as a class pet? (6)

How many students want a dog or a rabbit as a class pet? (14)

How many students took the survey? (20)

Think of some questions you can ask your family at home and makea representation to show the data.

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54


Let’s work with data and practice adding and subtracting.

Warm-up: Number Talk: Plus or Minus 2Find the value of each expression mentally.

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Unit 1 Lesson 14 55



Check it Off

Number Pair What's Behind My Back

56

Lesson 15: Animals in the Jungle

Let’s make a survey and collect and show data.

Warm-up: Notice and Wonder: Wild AnimalsWhat do you notice?What do you wonder?

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Unit 1 Lesson 15 57

15.1: Collect Survey DataLet’s survey our classmates.

1. Circle 1 question:

A. Which animal would you like to meet in real life?

B. If you could spend one day as an animal, which one wouldyou choose?

C. Which animal would you like to spend vacation with?

D. Which animal would you like to talk to?

2. Animal choices:

3. Collect and record 10 responses.

◦

◦

◦

58

15.2: Ask Our Own QuestionsLet’s come up with questions about our data and answer them.

Unit 1 Lesson 15 59

15.3: Share DataLet’s make posters to share what we learned from our surveys.

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Section C Practice Problems1. Jada showed how she sorted some shapes.

Jada made statements about how she sorted.Decide whether each statement is true or false.

a. There are 6 triangles.

b. There are 15 shapes altogether.

c. The number of shapes that are squares or triangles is thesame as the number of circles.


Unit 1 Section C Practice Problems 61

2. A class was asked about their favorite birds at the zoo.Their responses are shown here.

Write 3 things that you learned about the class’ favorite birds atthe zoo.


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3. Use the data to answer the questions.

a. How many students chose dogs?

b. How many students chose birds?

c. How many students chose dogs or cats?

d. How many students chose cats or birds?

e. How many students took the survey?



4. Use the data to answer the questions.

a. How many students chose yogurt?

b. How many students chose apple?

c. How many students chose apple or nuts?

d. How many students chose apple or yogurt?

e. How many students took the survey?


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5. Crayons are sorted into categories based on color.

What are 2 questions that you can ask about the crayons?



6. Exploration

Use the data to answer the question.

If the answer to a question about this data is 13, what could thequestion be?

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7. Exploration

a. Gather data at home or school and make a display of thedata.

b. Ask a math question about the data.

c. Trade displays and questions with a partner and answeryour partner’s question.


GlossarycategoryA label that tells how objects in a group are alike.

dataInformation about the things or people in a group.

Example: If you have a box of colored pencils, then the lengths andcolors of each of the pencils are data about the pencils in the box.

differenceThe result when one number is subtracted from another.

sumThe total when two or more numbers are added.

surveyA way to collect data using a group of people answering the samequestion.

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AttributionsThe Common Core State Standards are trademarks of the CommonCore State Standards Initiative. © Copyright 2010. NationalGovernors Association Center for Best Practices and Council of ChiefState School Officers. All rights reserved.http://www.corestandards.org/

“Notice and Wonder” and “I Notice/I Wonder” are trademarks of theNational Council of Teachers of Mathematics, reflecting approachesdeveloped by the Math Forum (http://www.nctm.org/noticeandwonder/), and used here with permission.

Images that are not the original work of Illustrative Mathematics arein the public domain or released under a Creative CommonsAttribution (CC-BY) license, and include an appropriate citation.Images that are the original work of Illustrative Mathematics do notinclude such a citation.

Image Attributions

By publicdomainvectors.org. Public Domain.publicdomainvectors.org. https://publicdomainvectors.org/en/free-clipart/Vector-image-of-basketball-ball/5686.html,https://publicdomainvectors.org/en/free-clipart/Tenis-ball-image/49483.html, https://publicdomainvectors.org/en/free-clipart/Vector-graphics-of-shiny-soccer-ball/14708.html.

By kolibri5. Pixabay. Pixabay. https://pixabay.com/photos/africa-namibia-nature-dry-1170179/.

Attributions 69

Notes

Notes

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Student Workbook Unit 1