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Warm Up

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Warm Up

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Standards for Mathematical Content

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7.NS.A.1.D

Apply properties of operations as strategies to add and subtract rational numbers.

7.NS.A.3

Solve real-world and mathematical problems involving the four operations with rational numbers.

Standards for Mathematical Content

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7.EE.B.3

Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies.

Standards for Mathematical Content

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Standards for Mathematical Practice

MP1

Make sense of problems and persevere in solving them.

MP2

Reason abstractly and quantitatively.

MP3

Construct viable arguments and critique the reasoning of others.

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Standards for Mathematical Practice

MP4

Model with mathematics.

MP5

Use appropriate tools strategically.

MP6

Attend to precision.

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Students will solve problems subtracting integers.

Lesson Goal

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Learn�Subtract Integers

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Subtract Integers

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Learn�Subtract Integers

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Subtract Integers

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The number lines illustrate the rules for subtracting two integers.

Learn�Subtract Integers

Words	Symbols	Example
To subtract an integer, add the additive inverse of the integer.

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Learn�Subtract Integers

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Subtract Integers

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Example 1�Subtract Integers

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Subtract Integers

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Example 1�Subtract Integers

Think About It!

Will you use a number line or will you add the additive inverse to solve this problem?

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Example 1�Subtract Integers

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Example 1�Subtract Integers

Method 2 Use the additive inverse.

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Example 1�Subtract Integers

Talk About It!

Compare and contrast Method 1 and Method 2.

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Example 1�Subtract Integers

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Example 1�Subtract Integers

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Example 2�Subtract Integers

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Example 2�Subtract Integers

Think About It!

Predict the sign of the difference between the two integers.

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Example 2�Subtract Integers


	Add.

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Example 2�Subtract Integers

Talk About It!

Describe a situation where the difference between two numbers is greater than either number. Then explain why that happens.

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Example 2�Subtract Integers

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Example 2�Subtract Integers

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Example 3�Subtract Expressions

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Example 3�Subtract Expressions

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Example 3�Subtract Expressions

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Example 3�Subtract Expressions

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Learn�Find the Distance Between Integers

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Learn�Find the Distance Between Integers

Step 2 Count the number of units between the two integers.

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Learn�Find the Distance Between Integers

Method 2 Use an expression.

The distance between two integers is equal to the absolute value of their difference.

Step 1 Write an expression for the distance.

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Learn�Find the Distance Between Integers

Step 2 Simplify the expression.

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Talk About It!

Why do we take the absolute value of the difference?

Learn�Find the Distance Between Integers

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Example 4�Find the Distance Between Integers

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Think About It!

What subtraction expression could be used to find the distance?

Example 4�Find the Distance Between Integers

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Example 4�Find the Distance Between Integers

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Method 2 Use the absolute value.

To find the distance between integers, you can find the absolute value of their difference.

Example 4�Find the Distance Between Integers

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Talk About It!

Compare and contrast the two methods.

Example 4�Find the Distance Between Integers

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Example 4�Find the Distance Between Integers

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Subtract Integers

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Example 4�Find the Distance Between Integers

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When finding the distance between integers with different signs, which method would you choose to use? Explain.

Pause and Reflect

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Example 5�Find the Distance Between Integers

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Think About It!

Will the distance be greater or less than 14,494 feet?

Example 5�Find the Distance Between Integers

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Example 5�Find the Distance Between Integers


	Add.
	Find the absolute value.

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Talk About It!

Is it reasonable to have a negative answer? Why or why not?

Example 5�Find the Distance Between Integers

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Check

The top of an iceberg is 55 feet above sea level, while the bottom is 385 feet below sea level. What is the distance between the top and bottom of the iceberg?

Example 5�Find the Distance Between Integers

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Check

The top of an iceberg is 55 feet above sea level, while the bottom is 385 feet below sea level. What is the distance between the top and bottom of the iceberg?

440 feet

Example 5�Find the Distance Between Integers

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The table shows the minimum and maximum temperatures on various celestial objects in the solar system.

Apply�The Solar System

Celestial Object	Minimum Temperature (°F)	Maximum Temperature (°F)
Moon
Mars
Mercury
Venus

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Apply�The Solar System

Celestial Object	Minimum Temperature (°F)	Maximum Temperature (°F)
Moon
Mars
Mercury
Venus

Scientists want to send a probe to study the celestial object with the greatest variation in temperature. To which celestial object should they send the probe?

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Talk About It!

On which celestial object from the table would it be most reasonable to live? Explain.

Apply�The Solar System

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Check

The table shows the highest and lowest points of elevation, in relation to sea level, in four countries. Which country in this list has the greatest variation in elevation? the least?

Apply�The Solar System

Country	Highest Point (ft)	Lowest Point (ft)
Jordan
United Kingdom
Sweden
Ireland

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Check

The table shows the highest and lowest points of elevation, in relation to sea level, in four countries. Which country in this list has the greatest variation in elevation? the least?

Apply�The Solar System

Country	Highest Point (ft)	Lowest Point (ft)
Jordan
United Kingdom
Sweden
Ireland

Jordan; Ireland

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Exit Ticket

New Orleans is 8 feet below sea level and Britton Hill is 345 feet above sea level. How far apart are the elevations?

Write a mathematical argument that can be used to defend your solution.

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Exit Ticket

New Orleans is 8 feet below sea level and Britton Hill is 345 feet above sea level. How far apart are the elevations?

Write a mathematical argument that can be used to defend your solution.

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