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Integers

Integers. Standard: . Write in your notes. Integer : {…, -3, -2, -1, 0, 1, 2, 3, …}. Positives, Negatives, and zero. -5. -4. -3. -2. -1. 0. 1. 2. 3. 4. 5. No decimals, no fractions. Watch the next two vocabulary words …. Origin: The point on the number line labeled zero

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Integers

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  1. Integers Standard:

  2. Write in your notes... Integer: {…, -3, -2, -1, 0, 1, 2, 3, …} Positives, Negatives, and zero -5 -4 -3 -2 -1 0 1 2 3 4 5 No decimals, no fractions

  3. Watch the next two vocabulary words… • Origin: • The point on the number line labeled zero • Real Numbers: • Any number that is positive, negative, or zero -5 -4 -3 -2 -1 0 1 2 3 4 5  Negative Positive Origin

  4. Tell you partner in your own words: What is “origin” and what are real numbers?

  5. Shout out! Integer or Real Number? Real Number  -5 -4 -3 -2 -1 0 1 2 3 4 5 Integer  -5 -4 -3 -2 -1 0 1 2 3 4 5

  6. A B With your partner… • Determine who will be shoulder-partner A and shoulder-partner B • Person A will name the first number in the following example • Person B names the second number, then Person A the next… • Name the order of all the numbers in the coming example The first number is… The next one is…

  7. Which is Greater? • 5, 2, -4, 0, -1 • -4, -1, 0, 2, 5      -5 -4 -3 -2 -1 0 1 2 3 4 5 Positive Numbers Negative Numbers 

  8. Moving on the Number Line Choral Response • + means a move to the _______ on the number line • -means a move to the _______ on the number line right left

  9. Pencils down… • Watch the next two examples… • Look for patterns

  10. Practice • 5 + (-7) right +3  -5 -4 -3 -2 -1 0 1 2 3 4 5 = -2  -5 -4 -3 -2 -1 0 1 2 3 4 5

  11. In your notes... • When adding two numbers with the same sign (++ or - -): Add the number and keep the sign the same Example: 5 + 3 = 8 -13 + (-4) = -17

  12. Story Time • Armando earned $10 by doing his chores at home, and this is all the money he has. • He discovers… he lost his math book!! Armando now owes the school $58 for that nice textbook. • Using his $10 to start paying it off, how much more does he have to pay?

  13. Tell your neighbor how to find how much $$ Armando owes. To find the Amount of money...

  14. Mathematically, it looks like this: $10 + -$58 = -$48 Or = -48 10 + (-58)

  15. The answer is… The answer is… The answer is… The answer is… The answer is… Shout out! Example 4: Example 3: -11 + 8 = -3 - 4 + 7 = 3

  16. In your notes: Write a what you think might be the rule for adding integers with different signs. Compare your definitions with your partner’s definitions. Add to your definitions or revise them if necessary.

  17. -5 -4 -3 -2 -1 0 1 2 3 4 5

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