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# Directions - PowerPoint PPT Presentation

Directions. Grab your iPad Log in to edmodo Define the vocabulary terms (using Math Glossary App): Integer Absolute Value Watch the video to review these key terms. Lesson 1: Opposite Quantities Combine to Make Zero . Objectives

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Presentation Transcript

• Define the vocabulary terms (using Math Glossary App):

• Integer

• Absolute Value

• Watch the video to review these key terms

Lesson 1: Opposite Quantities Combine to Make Zero

Objectives

• Students add positive integers by counting up and negative integers by counting down

• Students know the opposite of a number is called the additive inverse because the sum of the two numbers is zero.

You should find these definitions in your Math Terms Glossary app.

• Integer

• Absolute Value

These terms are considered background knowledge and need to be known in order to move on with lesson 1.

• What is ?

Why?

• What is ?

Why?

Which number is greater 1 or ?

Why?

• Counting up corresponds to _positive_ numbers.

• Counting down corresponds to _negative_ numbers.

Where do you begin when locating a number on the number line? Zero

What do you call the distance between a number and 0 on a number line? Absolute Value

What is the relationship between 7 and -7? They are opposites

• What is the final position on the number line?

Count up 5, count down 5, count down 4, count up 8 = 4

• What card or combination of cards would you need to get back to 0? -3 & -1, -5 & 1, 6 & -6, etc…

• How should arrows line up when counting on?

• How far is 7 from 0 and in which direction?

7, to the right

• What is the opposite of 7?

-7

• How far is -7 from 0 and in which direction?

7, to the left

Teacher questions D-G

For all numbers 𝒂 there is a number –𝒂, such that 𝒂 + (−𝒂) = 𝟎.

The additive inverse of a real number is the opposite of that number on the real number line. For example, the opposite of −𝟑 is 𝟑. A number and its additive inverse have a sum of 0. The sum of any number and its opposite is equal to zero.

Example 4 – Real-World Examples (output side)

-10

• How would the value of this card represent a temperature?

• How would the temperature need to change in order to get back to 0 degrees?

• Create a story problem using money that represents the expression 200 + (-200).