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.

Section C Goals

  • Interpret data representations to ask and answer questions.
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Section A: Add and Subtract within 10

Problem 1

Pre-unit

Practicing Standards:  K.G.A.2

Color in the shapes that are triangles.

AShape.
BShape.
CShape.
DShape.

Solution

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Problem 2

Pre-unit

Practicing Standards:  K.OA.A.1

How many do you see?

  1. ____________

    2 groups of dots. First group, 5. Second group, 3. 

  2. ____________

    Five frame. Full. 4 dots below.

Solution

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Problem 3

Pre-unit

Practicing Standards:  K.OA.A.1

  1. Match the pictures with the expressions.
A:
Dots. Total, 8. 5 dots. 3 dots crossed out.

B:
Group of Dots. First row, 5. Second row, 3.

C:
6 dots. Line. 2 dots.
1:

\(\hspace{1.5cm}6+2\)

2:

\(\hspace{1.5cm}5+3\)

3:

\(\hspace{1.5cm}8-3\)

Solution

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Problem 4

How many do you see?

  1. ____________

    2 groups of dots. First group 3. Second group 2. 

  2. ____________

    2 groups of dots. First group, 5. Second group, 5.

Solution

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Problem 5

Circle the expression that matches the dots.

2 groups of dots. First group, 4. Second group, 3.
A:

\(2+2\)

B:

\(4+3\)

C:

\(3+3\)

Solution

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Problem 6

Circle the dots that match the expression: \(5+1\)

2 groups of dots. First group, 5. Second group, 1.
2 groups of dots. First group, 4. Second group, 1.
2 groups of dots. First group, 4. Second group, 2

Solution

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Problem 7

Find the value of each sum.

  1. \(3 + 1\)

  2. \(3 + 2\)

  3. \(7+2\)

  4. \(7+1\)

Solution

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Problem 8

Find the value of each difference.

  1. \(10 - 1\)
  2. \(10-2\)
  3. \(5-2\)
  4. \(6-1\)
  5. \(8-2\)

Solution

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Problem 9

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

2 groups of dots. First group, 6. Second group, 3. 

\(\underline{\hspace{1.7cm}} + \underline{\hspace{1.7cm}} = \underline{\hspace{1.7cm}}\)

\(\underline{\hspace{1.7cm}} - \underline{\hspace{1.7cm}} = \underline{\hspace{1.7cm}}\)

Solution

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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?

Solution

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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.

\(\underline{\hspace{1.7cm}} + \underline{\hspace{1.7cm}} = \underline{\hspace{1.7cm}}\)

\(\underline{\hspace{1.7cm}} + \underline{\hspace{1.7cm}} = \underline{\hspace{1.7cm}}\)

\(\underline{\hspace{1.7cm}} + \underline{\hspace{1.7cm}} = \underline{\hspace{1.7cm}}\)

Solution

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Section B: Show Us Your Data

Problem 1

Here are some objects.

Objects. Pattern blocks. Counters. Total, 15.
  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?

Solution

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Problem 2

Here are some objects.

Balls. Orange basketball, 4. Black and white soccer, 5. Yellow tennis, 3. Toal, 12.
  1. Show how you could sort the balls into categories.

  2. How many balls are in each category?

    category 1:____________

    category 2:____________

    category 3:____________

Solution

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Problem 3

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

Tally Chart. Breakfast, tallies, 2. Lunch, tallies, 3. Dinner, tallies, 5.

Data Representation. Breakfast, 3. Lunch, 3. Dinner, 5.

Solution

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Problem 4

Exploration

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

Solution

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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.

Data Chart. Pattern Blocks in a Bag. Square, 7. Triangles, question mark. Hexagons, question mark. 
How many triangles could be in the bag?

How many hexagons could be in the bag?

Find as many solutions as you can.

Solution

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Section C: What Does the Data Tell Us?

Problem 1

Jada showed how she sorted some shapes.

Tally Chart. Square, tallies, 5. Triangle, tallies, 4. Circle, tallies, 6. 

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

  1. There are 6 triangles.
    Thumbs up, true. Or. Thumbs down, false.
  2. There are 15 shapes altogether.
    Thumbs up, true. Or. Thumbs down, false.
  3. The number of shapes that are squares or triangles is the same as the number of circles.
    Thumbs up, true. Or. Thumbs down, false.

Solution

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Problem 2

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

Data Chart. Birds at the Zoo. Ostrich, 4. Penguin, 13. Eagle, 5.

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

Solution

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Problem 3

Use the data to answer the questions.

Tally Chart. Favorite Pet. Dog, tallies, 5. Cat, tallies, 3. Bird, tallies,1.

  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?

    \(\underline{\hspace{1.5cm}}\)

Solution

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Problem 4

Use the data to answer the questions.

Data Chart. Favorite Snack. Apple, 8. Yogurt, 3. Nuts, 6.

  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?

    \(\underline{\hspace{1.5cm}}\)

Solution

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Problem 5

Crayons are sorted into categories based on color.

Tally Chart. Red, tallies, 7. Blue, tallies, 9. Yellow, tallies, 4.

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

Solution

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Problem 6

Exploration

Use the data to answer the question.

Data Chart. Seashells Found on the Shore. Noah, 6. Tyler, 7. Elena, 19.

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

Solution

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Problem 7

Exploration

  1. Gather data at home or school and make a display of the data.
  2. Ask a math question about the data.
  3. Trade displays and questions with a partner and answer your partner’s question.

Solution

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