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.
Section A: Add and Subtract within 10
Problem 1
Preunit
Practicing Standards: K.G.A.2
Color in the shapes that are triangles.
Solution
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Problem 2
Preunit
Practicing Standards: K.OA.A.1
How many do you see?

____________

____________
Solution
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Problem 3
Preunit
Practicing Standards: K.OA.A.1
 Match the pictures with the expressions.
Solution
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Problem 4
How many do you see?

____________

____________
Solution
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Problem 5
Circle the expression that matches the dots.
\(2+2\)
\(4+3\)
\(3+3\)
Solution
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Problem 6
Circle the dots that match the expression: \(5+1\)
Solution
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Problem 7
Find the value of each sum.
 \(3 + 1\)
 \(3 + 2\)
 \(7+2\)
 \(7+1\)
Solution
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Problem 8
Find the value of each difference.
 \(10  1\)
 \(102\)
 \(52\)
 \(61\)
 \(82\)
Solution
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Problem 9
Show 2 ways you could use these cards in the game.
\(\underline{\hspace{1.7cm}} + \underline{\hspace{1.7cm}} = \underline{\hspace{1.7cm}}\)
\(\underline{\hspace{1.7cm}}  \underline{\hspace{1.7cm}} = \underline{\hspace{1.7cm}}\)
Solution
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Problem 10
Exploration
Materials needed:
 Number cards 2–10
 Two dot cubes
Directions:
 Choose a number card.
Show 2 numbers on the dot cubes that add to make your number.  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.
 What are 2 categories you can use to sort these objects?
 What are 2 different categories you can use to sort these objects?
Solution
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Problem 2
Here are some objects.
 Show how you could sort the balls into categories.

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?
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.
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.
Jada made statements about how she sorted.
Decide whether each statement is true or false.
 There are 6 triangles.
 There are 15 shapes altogether.
 The number of shapes that are squares or triangles is the same as the number of circles.
Solution
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Problem 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 at the zoo.
Solution
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Problem 3
Use the data to answer the questions.

How many students chose dogs?
\(\underline{\hspace{1.5cm}}\)

How many students chose birds?
\(\underline{\hspace{1.5cm}}\)

How many students chose dogs or cats?
\(\underline{\hspace{1.5cm}}\)

How many students chose cats or birds?
\(\underline{\hspace{1.5cm}}\)

How many students took the survey?
\(\underline{\hspace{1.5cm}}\)
Solution
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Problem 4
Use the data to answer the questions.

How many students chose yogurt?
\(\underline{\hspace{1.5cm}}\)

How many students chose apple?
\(\underline{\hspace{1.5cm}}\)

How many students chose apple or nuts?
\(\underline{\hspace{1.5cm}}\)

How many students chose apple or yogurt?
\(\underline{\hspace{1.5cm}}\)

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.
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.
If the answer to a question about this data is 13, what could the question be?
Solution
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Problem 7
Exploration
 Gather data at home or school and make a display of the data.
 Ask a math question about the data.
 Trade displays and questions with a partner and answer your partner’s question.
Solution
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