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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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  1. 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

  2. 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.

  3. 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.

  4. Review • What is ? Why? • What is ? Why? Which number is greater 1 or ? Why?

  5. What do you know?

  6. 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

  7. The Integer Game!!!!

  8. 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?

  9. 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.

  10. 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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