1.2 Addition and Subtraction Story Problems

Unit Goals

  • Students solve new types of story problems within 10 using the relationship between addition and subtraction. They develop an understanding of the meaning of the equal sign and connect story problems to equations.

Section A Goals

  • Solve Add To and Take From, Result Unknown and Add To, Change Unknown story problems.
  • Understand the meaning of the equal sign.

Section B Goals

  • Solve Put Together/Take Apart problems with the unknown in different positions.
  • Write equations to represent problems.

Section C Goals

  • Relate addition and subtraction.
  • Solve Compare, Difference Unknown problems.

Section D Goals

  • Apply understanding of the meaning of the equal sign to make sense of equations with a symbol for the unknown.
  • Solve different types of story problems, limited to those learned in this unit.
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Section A: Add To and Take From Story Problems

Problem 1

Pre-unit

There are 2 plants in the classroom.
The teacher brings 3 more plants.
How many plants are in the classroom now?
Show your thinking using drawings, numbers, or words.

Solution

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Problem 2

Pre-unit

Practicing Standards:  K.OA.A.2

There are 8 cars parked on the street.
Some cars are red and some are blue.
Show how many red and blue cars could be on the street.
Show your thinking using drawings, numbers, or words.

Solution

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Problem 3

Pre-unit

Practicing Standards:  K.OA.A.4

Write a number in the blank to make each equation true.

  1. \(7 + \boxed{\phantom{\frac{aaai}{aaai}}} = 10\)
  2. \(4 + \boxed{\phantom{\frac{aaai}{aaai}}}  = 10\)
  3. \(\boxed{\phantom{\frac{aaai}{aaai}}}  + 2 = 10\)

Solution

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Problem 4

There are 7 books on the shelf.
Mai takes 2 of the books off the shelf.
How many books are on the shelf now?
Does this story match the equation \(7 - 2 = 5\) or \(7 + 2 = 9\)?
Show your thinking using drawings, numbers, or words.

Equation: ________________________________

Solution

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Problem 5

There were 7 kids playing in the swimming pool.
Then some more kids came to play with them.
Now there are 10 kids playing in the swimming pool.
How many kids came to play?
Show your thinking using drawings, numbers, or words.

Solution

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Problem 6

There were 3 students on the playground.
Some more students came to the playground.
Now there are 9 students on the playground.
How many students came to the playground?

Show your thinking using drawings, numbers, or words.

Equation: ________________________________

Solution

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Problem 7

Exploration

  1. Write an addition or subtraction story problem about something you did this week.

  2. Trade your problem with a friend and solve your friend’s problem.

Solution

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Problem 8

Exploration

Choose one of the equations.

  1. \(5 + \boxed{\phantom{3}} = 8\)
  2. \(8 - 3 =  \boxed{\phantom{5}}\)
  3. \(3 + \boxed{\phantom{5}} = 8\)
  4. \(5 + 3 =  \boxed{\phantom{8}}\)

Write a story problem that the equation matches.

Trade with a partner and decide which equation matches your partner’s story.

Solution

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Section B: Put Together/Take Apart Story Problems

Problem 1

There are 3 first graders and 6 second graders on the soccer team.
How many kids are on the soccer team?

  1. Make a drawing to match the story.
  2. Write an equation to match the story.

Solution

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Problem 2

Han is playing Shake and Spill.
He uses 8 counters.

  1. Show 3 different ways Han's counters could look.
    red
    counters
    yellow
    counters
    equation

  2. Pick one of your equations and describe how it matches the counters.

Solution

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Problem 3

The table shows the number of counters for Shake and Spill.
Fill in the missing numbers.

total red     yellow    
10 5
10 7
8 1
8 3
9 6

Solution

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Problem 4

  1. There are 9 beads on the bracelet.
    2 of them are pink and the rest are green.
    How many green beads are on the bracelet?
    Show your thinking using drawings, numbers, or words.

    Equation: ____________________________

  2. There are 9 beads on the bracelet.

    Some are pink and the rest are green.
    How many pink and green beads could there be on the bracelet?
    Show your thinking using drawings, numbers, or words.

    Equation: ____________________________

Solution

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Problem 5

Exploration

Han spilled some counters on his desk and recorded whether they were red or yellow.
The table shows some of Han’s results. 

red yellow number of counters
5 10
2 9
3 4
8
5
3
10
  1. Write a number in each empty spot in the table.
  2. Are there some empty spots you could fill in more than one way?
    Show your thinking using drawings, numbers, or words.

Solution

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Problem 6

Exploration

Roll 2 number cubes (labeled 0 through 5) and find the total.
Show your partner one of the number cubes and tell them the total.
Your partner figures out the number on the number cube you are hiding.

Solution

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Problem 7

Exploration

Two-color counters, 9 total. 5 blue. 4 yellow.
 
  1. Write a story with a question that could go with the picture.
  2. Write an equation that matches your story.

Solution

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Section C: Compare Story Problems

Problem 1

A tower of green connecting cubes has 8 cubes.
A tower of yellow connecting cubes has 2 cubes.
Show 2 different ways to make the towers have the same number of cubes.
Show your thinking using objects, drawings, numbers, or words.

Solution

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Problem 2

There are 10 dragons in the cave.
There are 3 dragons flying outside.
How many fewer dragons are flying than are in the cave?
Show your thinking with drawings, numbers, or words.

Solution

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Problem 3

Here are the colors of some hot air balloons that Tyler saw.

Data chart. Yellow, number 10. Orange, number 3. Blue, number 6.
  1. How many more yellow balloons did Tyler see than orange balloons?
    Show your thinking using drawings, numbers, or words.

  2. How many fewer blue balloons did Tyler see than yellow balloons?
    Show your thinking using drawings, numbers, or words.

Solution

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Problem 4

There are 7 candles on the cake.
There are 10 candles in the box.
How many fewer candles are on the cake than in the box?
Show your thinking with drawings, numbers, or words.

Circle the 2 equations that match the story. 

\(10 + 7 = \boxed{\phantom{17}}\)

\(10 - 7 = \boxed{\phantom{3}}\)

\(7 + \boxed{\phantom{3}} = 10\)

\(7 - 10 = \boxed{\phantom{3}}\)

Solution

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Problem 5

There are 7 hedgehogs underground.
There are 4 hedgehogs on the grass.
How many fewer hedgehogs are on the grass?
Show your thinking using drawings, numbers, or words.

Write an equation to match the story problem.
Draw a box around the answer.

Solution

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Problem 6

Exploration

There are 8 stuffed animals on the bed.
There are 3 stuffed animals on the floor.
Your teacher asked a question about this story problem.
The answer to your teacher's question is 5.
What could be a question that your teacher asked?

Solution

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Problem 7

Exploration

Find 2 sets of objects at home or at school and write a story comparing them.

Solve your problem and write an equation that matches the story.

Solution

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Section D: All Kinds of Story Problems

Problem 1

There were 9 cars in the parking lot.
Then 5 of the cars drove away.
How many cars are in the parking lot now?
Show your thinking using drawings, numbers, or words.
Write an equation and draw a box around the answer.

Solution

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Problem 2

There were 7 apples in the basket.
Tyler added some more apples to the basket.
Now there are 9 apples in the basket.
How many apples did Tyler add to the basket?
Select 2 equations that match the story.

A: \(7 + \boxed{\phantom{2}} = 9\)
B: \(7 + 9 = \boxed{\phantom{6}}\)
C: \(9 - 7 = \boxed{\phantom{2}}\)
D: \(16 - 9 = \boxed{\phantom{7}}\)

Solution

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Problem 3

There were 9 chickens in the yard.
Some of the chickens ran away.
Now there are 5 chickens in the yard.
How many chickens ran away?

Write 2 equations that match the story problem.

Solution

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Problem 4

Write a story problem with an answer of 7.

Solution

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Problem 5

Exploration

There are 9 books on Han’s desk and 5 books on Mai’s desk. Then Han puts 2 of his books on Mai’s desk.
The answer to the question is 7.
What is the question?

Solution

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Problem 6

Exploration

Write and solve your own story problem about something at your home.

Share your story with a partner and solve your partner’s problem.

Solution

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