# 1.1 Adding, Subtracting, and Working with Data

## Unit Goals

• Students add and subtract within 10, and represent and interpret categorical data.

### Section A Goals

• Build toward fluency by adding and subtracting within 10 in a way that makes sense to them.

### Section B Goals

• Organize and represent data.

### Problem 1

#### Pre-unit

Practicing Standards:  K.G.A.2

Color in the shapes that are triangles.

### Problem 2

#### Pre-unit

Practicing Standards:  K.OA.A.1

How many do you see?

1. ____________

2. ____________

### Problem 3

#### Pre-unit

Practicing Standards:  K.OA.A.1

1. Match the pictures with the expressions.

### Problem 4

How many do you see?

1. ____________

2. ____________

### Problem 5

Circle the expression that matches the dots.

A:

$$2+2$$

B:

$$4+3$$

C:

$$3+3$$

### Problem 6

Circle the dots that match the expression: $$5+1$$

### Problem 7

Find the value of each sum.

1. $$3 + 1$$

2. $$3 + 2$$

3. $$7+2$$

4. $$7+1$$

### Problem 8

Find the value of each difference.

1. $$10 - 1$$
2. $$10-2$$
3. $$5-2$$
4. $$6-1$$
5. $$8-2$$

### Problem 9

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

$$\underline{\hspace{1.7cm}} + \underline{\hspace{1.7cm}} = \underline{\hspace{1.7cm}}$$

$$\underline{\hspace{1.7cm}} - \underline{\hspace{1.7cm}} = \underline{\hspace{1.7cm}}$$

### Problem 10

#### Exploration

Materials needed:

• Number cards 2–10
• Two dot cubes

Directions:

1. Choose a number card.
Show 2 numbers on the dot cubes that add to make your number.
2. Can you show another way?

### Problem 11

#### Exploration

Partner A: Hold up some fingers on each hand.

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

$$\underline{\hspace{1.7cm}} + \underline{\hspace{1.7cm}} = \underline{\hspace{1.7cm}}$$

Switch roles and play again.

$$\underline{\hspace{1.7cm}} + \underline{\hspace{1.7cm}} = \underline{\hspace{1.7cm}}$$

$$\underline{\hspace{1.7cm}} + \underline{\hspace{1.7cm}} = \underline{\hspace{1.7cm}}$$

$$\underline{\hspace{1.7cm}} + \underline{\hspace{1.7cm}} = \underline{\hspace{1.7cm}}$$

### Problem 1

Here are some objects.

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

### Problem 2

Here are some objects.

1. Show how you could sort the balls into categories.
2. How many balls are in each category?

category 1:____________

category 2:____________

category 3:____________

### Problem 3

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

### Problem 4

#### Exploration

Gather data from the classroom or home.
Show how you sorted the data on paper.

### Problem 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.

### Problem 1

Jada showed how she sorted some shapes.

Decide whether each statement is true or false.

1. There are 6 triangles.
2. There are 15 shapes altogether.
3. The number of shapes that are squares or triangles is the same as the number of circles.

### Problem 2

Their responses are shown here.

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

### Problem 3

Use the data to answer the questions.

1. How many students chose dogs?

$$\underline{\hspace{1.5cm}}$$

2. How many students chose birds?

$$\underline{\hspace{1.5cm}}$$

3. How many students chose dogs or cats?

$$\underline{\hspace{1.5cm}}$$

4. How many students chose cats or birds?

$$\underline{\hspace{1.5cm}}$$

5. How many students took the survey?

$$\underline{\hspace{1.5cm}}$$

### Problem 4

Use the data to answer the questions.

1. How many students chose yogurt?

$$\underline{\hspace{1.5cm}}$$

2. How many students chose apple?

$$\underline{\hspace{1.5cm}}$$

3. How many students chose apple or nuts?

$$\underline{\hspace{1.5cm}}$$

4. How many students chose apple or yogurt?

$$\underline{\hspace{1.5cm}}$$

5. How many students took the survey?

$$\underline{\hspace{1.5cm}}$$

### Problem 5

Crayons are sorted into categories based on color.

### Problem 6

#### Exploration

Use the data to answer the question.