Distance Between Integers

Distance Between Integers

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Hotspot

Select all the words that mean Positive Change

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A pole is buried below the ground. The top of the pole stands 21 feet above the ground. The bottom of the pole is 6 feet below the ground. How long is the pole from the top to the bottom?

Consider this

Multiple Choice

A pole is buried below the ground. The top of the pole stands 21 feet above the ground. The bottom of the pole is 6 feet below the ground. How long is the pole from the top to the bottom?

Select the best equation for the situation

• 21 - 6 = 15

• 21 + (-6) = 15

• 21 + 6 = 27

• 21 + (-6) = 27

Distance between integers

Absolute Value is distance on the number line

When we talk about distance between integers, we use absolute value, because we are just counting the number of spaces on the number line.

Negative and Positive tell us the direction of the change.
Absolute Value tells us the amount of the change.

Remember: An equation is like a story. There's a start (first number)
A middle (direction/amount of change)
An ending (what it equals)

Equation Stories

If the story does not cross zero, the distance is just the difference between absolute values.

Equation Stories

If the story DOES cross zero, look for the distance between beginning and zero, then the end and zero, then add them to get the middle

Equation Stories

Write a note to remind yourself how to find distance on the number line.

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Your Turn

For the next question, we will use the bottom diagram on your interactive notebook sheet. Also write the answers on your sheet

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Question Time

Drag and Drop

Seagull and Pelican ​

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Seagull and Sea Turtle ​

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Sea Turtle and Jelly Fish ​

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Pelican and Jelly Fish​

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Drag these tiles and drop them in the correct blank above

65 feet

137 feet

24 feet

96 feet

Use the second sheet to answer the next four questions. Write the answers on your sheet as well

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Learning Check

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Multiple Choice

Who is right?

• Dora

• Diego

Great Job!

Hand in your papers. We will paste them in our notebooks tomorrow.