EM2 APPLY Level 2 Module 1 Lesson 1 Thin Slice by General

A Story of Units®

Ten Tens

Module 1 ▸ Place Value Concepts Through Metric Measurement and Data · Place Value, Counting, and Comparing Within 1,000

Student

2 APPLY

Module 1 Place Value Concepts Through Metric Measurement and Data ∙ Place Value, Counting, and Comparing Within 1,000

2 Addition and Subtraction Within 200

3 Shapes and Time with Fraction Concepts

4 Addition and Subtraction Within 1,000

5 Money, Data, and Customary Measurement

6 Multiplication and Division Foundations

A Story of Units®

Tens ▸ 2 APPLY

Ten

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Topic C

Value Concepts

Metric Measurement and Data Topic A 3 Represent Data to Solve Problems Lesson 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 Draw and label a picture graph to represent data. Lesson 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 Draw and label a bar graph to represent data. Lesson 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 Use information presented in a bar graph to solve put together and take apart problems. Lesson 4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 Use information presented in a bar graph to solve compare problems. Topic B 23 Metric Measurement and Concepts About the Ruler Lesson 5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 Connect measurement to physical units by iterating a centimeter cube. Lesson 6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 Make a 10 cm ruler and measure objects. Lesson 7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 Measure lengths and relate 10 cm and 1 cm. Lesson 8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 Make a meter stick and measure with various tools. Lesson 9 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43 Relate 1 cm, 10 cm, and 100 cm. Lesson 10 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49 Reason about the relationship between the size of the unit and the number of units needed to measure.

Part 1: Place

Through

53 Estimate, Measure, and Compare Lengths Lesson 11 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 Estimate and compare lengths. Lesson 12 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61 Model and reason about the difference in length. Lesson 13 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65 Estimate and measure height to model metric relationships. Lesson 14 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71 Represent and compare students’ heights. Topic D 75 Solve Compare Problems by Using the Ruler as a Number Line Lesson 15 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77 Use a measuring tape as a number line to add efficiently. Lesson 16 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83 Use a measuring tape as a number line to subtract efficiently. Lesson 17 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 87 Represent and solve comparison problems by using measurement contexts. Lesson 18 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 93 Solve compare with difference unknown word problems by using measurement contexts. Lesson 19 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 97 Solve compare with difference unknown word problems in various contexts.

Part 2: Place Value, Counting, and Comparing Within

Express Three-Digit Numbers In

Model Base-Ten Numbers Within

with Money

Use place value understanding to count and exchange $1, $10, and $100 bills.

1,000 Topic E 101 Understand Place Value Units Lesson 20 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 103 Count and bundle ones, tens, and hundreds to 1,000. Lesson 21 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 107 Count efficiently within 1,000 by using ones, tens, and hundreds. Lesson 22 113 Use counting strategies to solve add to with change unknown word problems. Lesson 23 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 117 Organize, count, and record a collection of objects. Topic F . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 121

Different Forms Lesson 24 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 123 Count up to 1,000 by using place value units. Lesson 25 127

three-digit numbers

that

Lesson 26 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 133 Write base-ten numbers in expanded form. Lesson 27 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 137 Read, write, and relate base-ten numbers in all forms. Topic G . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 143

Write

in unit form and show the value

each digit represents.

Lesson 28 145

1,000

Lesson 29 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 149

$1, $10,

$100. Lesson 30 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 153 Determine how many $10 bills are equal to $1,000. Topic H . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 157 Compose and Decompose with Place Value Disks Lesson 31 159 Count the total value of ones, tens, and hundreds with place value disks. Lesson 32 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 163 Exchange 10 ones for 1 ten, 10 tens for 1 hundred, and 10 hundreds for 1 thousand. Lesson 33 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 167 Model numbers with more than 9 ones or 9 tens. Lesson 34 173 Problem solve in situations with more than 9 ones or 9 tens. Topic I . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 177 Compare Two Three-Digit Numbers In Different Forms Lesson 35 179 Compare three-digit numbers by using >, =, and <. Lesson 36 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 185 Apply place value understanding to compare by using >, =, and <. Lesson 37 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 189 Organize, count, represent, and compare a collection of objects. Lesson 38 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 193 Compare numbers in different forms. Acknowledgments . . . . . . . . . . . . . . . . . . . . . . . 196

Count by

and

FAMILY MATH Represent Data to Solve Problems

Dear Family,

Your student begins the year by collecting and representing data in tables and graphs. These activities show that math is part of the world around them. Your student explores how the same data can be represented in different graphs, such as a picture graph and a bar graph, and then uses the information in the graphs to solve problems.

Favorite Subject

This table shows the number of students who voted for each subject.

In this picture graph, the categories are Reading, Writing, Math, and Science. The key shows that each check mark stands for 1 vote.

At-Home Activities

Go on a Nature Walk

In a bar graph, the value of each category is represented by rectangular bars. The scale on this bar graph counts by 1. Each blue box represents 1 birthday.

Invite your student on a walk around your neighborhood or a park. Have them count or collect three or four types of objects they see, such as leaves, rocks, and sticks. Help your student make a table and use it to record the number of each object they saw. Consider asking questions about the data they’ve collected.

• “How many objects did you find in all?”

• “Which type of object did you find the most of?”

Key: Each ✓stands for 1 vote. ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ Favorite Subject Reading Math Science Writing

bar graph category data key scale table Our Birthdays Fall Winter 1 2 3 4 5 6 7 8 9 10 11 0 Summer Spring 5 4 9 6

Key Terms

Reading Writing Math Science

• “Which type of object did you find the least of?”

• “How many more leaves did you find than rocks?”

• “How many fewer sticks did you find than leaves?”

Make Real-World Graphs

Encourage your student to collect data about something around their home or in their daily life (such as the number of different-colored cars that go by in 10 minutes or the number of plates, bowls, and cups in the kitchen). Use stickers or sticky notes to make a picture graph that includes a key. Then use the data to make a bar graph with a title and a scale.

1. Make a picture graph. Vegetables We Like

A table is a chart that shows information. Pieces of information are called data.

Key: Each stands for vote.

First, I give the graph a title. I can use the title from the table, “Vegetables We Like.”

Next, I write the categories at the bottom of the graph. I use the same categories as the table: Broccoli, Carrots, Celery, and Lettuce.

I draw 1 check mark for each vote.

I need to make a key to show the value of the unit in my graph. My key is “Each ✓ stands for 1 vote.”

Name

Broccoli 2 Carrots 9 Celery 3 Lettuce 6

✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ Lettuce Celery Carrots Broccoli

We Like ✓ 1

Vegetables

2. Which vegetable has the fewest votes?

3. Which vegetable has the most votes?

Broccoli

Carrots

I can use the data in the graph to answer the questions.

I know that 1 check mark stands for 1 vote.

I see that broccoli has the fewest check marks. So broccoli has the fewest votes.

Carrots has the most check marks. So carrots has the most votes.

Key: Each stands for vote.

✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ Lettuce Celery Carrots Broccoli

We Like ✓ 1

Vegetables

REMEMBER

4. Read

The grasshopper is 3 centimeters long.

The bird is 13 centimeters long.

How much longer is the bird than the grasshopper?

I read the problem. I read again. I can use a 10 -stick and centimeter cubes to compare the lengths.

I see 3 centimeter cubes show the length of the grasshopper.

I see one 10 -stick and 3 centimeter cubes show the length of the bird.

I can draw a picture to match the cubes. I can draw 3 centimeter cubes to match the length of the grasshopper and a 10-stick and 3 centimeter cubes to match the length of the bird. I can see that the length of the bird is 10 centimeters longer than the grasshopper.

Sample:

Write 3 + 10 = 13

The bird is 10 centimeters longer than the grasshopper.

Draw

Grasshopper

Bird

Key: Each stands for vote.

2. Which fruit has the fewest votes?

3. Which fruit has the most votes?

Fruit We Like Apples 8 Bananas 7 Grapes 4 Oranges 9

1. Make a picture graph.

4. Read

The bee is 4 centimeters long.

The frog is 14 centimeters long.

How much longer is the frog than the bee ?

The frog is centimeters longer than the bee .

Bee Frog REMEMBER

EM2 APPLY Level 2 Module 1 Lesson 1 Thin Slice

A Story of Units®

Ten Tens

Topic C

Part 2: Place Value, Counting, and Comparing Within

Express Three-Digit Numbers In

Model Base-Ten Numbers Within

with Money

FAMILY MATH Represent Data to Solve Problems

Dear Family,

Favorite Subject

At-Home Activities

Go on a Nature Walk

Make Real-World Graphs

Broccoli

Carrots

REMEMBER

4. Read

Articles inside

FAMILY MATH Represent Data to Solve Problems