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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
Directions
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
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.


Vocabulary
Vocabulary

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.


Review
Review

  • What is ?

    Why?

  • What is ?

    Why?

    Which number is greater 1 or ?

    Why?



Example 1
Example 1

  • 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



Example 2 using the integer game
Example 2 – Using the Integer Game

  • 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?


Example 3 the additive inverse
Example 3 – The Additive Inverse

  • 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
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).


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