Integers

Unit 3

Learning Targets

• I can define the word “integers.”

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• I can utilize the Balloon Game to add and subtract integers.

Hot Air Balloon Game

Balloons Sandbags

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Raise the basket by one foot Lower the basket by one foot

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The Rules

• Both balloons start at 0 feet

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• Take turns drawing cards

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• Do EXACTLY what the card says

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• The first person to get to 10 feet above the canyon wins!

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The Rules

• You may pre-load your balloon with cargo as long as you don’t change your starting height.

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• At ANY time, you can adjust your cargo as long as it doesn’t affect your height.

At ANY time, you can adjust your cargo as long as it doesn’t affect your height.

At ANY time, you can adjust your cargo as long as it doesn’t affect your height.

Let’s Play!

Expectations:

Voice Level 1

Be respectful with the materials.

Be kind to your partner.

Be a good sport.

Try your best!

At ANY time, you can adjust your cargo as long as it doesn’t affect your height.

Summary:

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What happens to our balloon when we:

Add balloons?

Remove sandbags?

Add sandbags?

Remove balloons?

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DAY 2

Hot Air Balloon Game

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Balloons and Sandbags: Day 2

• This balloon is 3 feet above the cliff’s edge.

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• The person driving it wants to get to 5 feet above the cliff’s edge.

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• How can it get there? Brainstorm as many

options as possible.

Review Question #1

Add two balloons AND two sandbags.

Review Question #2

Remove two balloons AND one sandbag.

Review Question #3

Remove one balloon AND four sandbags.

Review Question #4

Give your opponent one of your balloons.

Review Question #5

Flip over all tokens! Balloons and sandbags switch.

Review Question #6

Back to zero!

Let’s Play!

Which group did not end up at a height of 3?

On a half of a piece of paper answer the following questions:

• What are the three best cards and the three worst cards in the deck?
• Draw a hot air balloon so that it has a height of positive 3.
• Label balloons with a “+” and sandbags with a “-”.

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Day 3

I can see that removing sandbags has the same effect as ________________________________________.

I can see that adding sandbags has the same effect as ________________________________________.

Day 3

• Moving up and down the number line

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• Model each problem on the number line provided

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Day 3

Can you come up with two ways

to move the balloon to a height of 1?

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Questions

I can see that removing sandbags has the same effect as ________________________________________.

I can see that adding sandbags has the same effect as ________________________________________.

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• Balloons = Positive Numbers
• Sandbags = Negative Numbers

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Starting Height

Ending

Height

# of balloons

Remove/ take away

_______ _______ = ________

Starting Height

Balloons or Sandbags (-___ )

Ending Height

Add or Remove

Let’s Try It!

Can you come up a with a balloons and sandbags scenario that would match the problem below?

-6 + (-5)

Where do you start?

What do you do?

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What about this one?

12 - (-10)

Independent Practice Problems

Complete pages 3-4 in your packet. *Make sure to write the equation that represents each problem.

Begin pages 5-6. *Make sure that you find the answer, where the hot air balloon would start and what you do to the cargo.

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_______ _______ = ________

Starting Height

Balloons or Sandbags (-___ )

Ending Height

Use this setup for solving addition and subtraction problems.

Add or Remove

Try these!

-19 + 10 =

50 + (-25) =

12 - (-12) =

-20 - 15

Formative Assessment

Directions: Put your name and class period on a piece of paper and #1-5. Using any of the strategies that we’ve talked about, solve the following.

• 5 + (-5) = 3. -8 - 4 =
• 6 - (-6) = 4. -10 + 3 =

For #5, explain your thinking and write where the balloon would start and what happened to the cargo.

5. -5 + (-9) =

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