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7 th Grade Math

7 th Grade Math. Integers. Integers. A. Contents. Adding Integers. Adding integers. We can use a number line to help us add positive and negative integers. –2 + 5 =. = 3. -2. 3. Start at zero Go to first addend Move in the direction and distance of the second addend.

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7 th Grade Math

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  1. 7th Grade Math Integers

  2. Integers • A Contents Adding Integers

  3. Adding integers We can use a number line to help us add positive and negative integers. –2 + 5 = = 3 -2 3 • Start at zero • Go to first addend • Move in the direction and distance of the second addend

  4. Adding integers We can use a number line to help us add positive and negative integers. –3 + –4 = = –7 -7 -3 • Start at zero • Go to first addend • Move in the direction and distance of the second addend

  5. Examples: • 6 + 5 • -7 + -2 • 5 + (-3) • -3 + 2 • 6 + (-7) • -9 + 4 = 11 = -9 = 2 = -1 = -1 = -5

  6. Let’s Discover/Develop a Rule… • Use the “Developing a Rule” Organizer

  7. Small Group/Partner Practice • Glencoe Textbook – • Page 98 - #1-8 • Page 98 - #28 - 36

  8. “Row, Row, Row Your Boat!” • Operations with Integers song

  9. 1. 3 + 2 2. -1 + 3 3. -5 + 5 4. -9 + 3 5. -10 + 5 6. -15 + 32 7. 5 + 3 8. -4 + 7 9. -5 + 4 10. -3 + 9 11. -6 + 13 12. -30 + 15 13. -35 + 10 14. 6 + 7 15. -5 + 9 16. -3 + 2 17. -8 + 7 18. -10 + 4 19. -50 + 30 20. 0 + 7 21. -7 + 17 22. -7 + 13 23. -6 + 3 24. -12 + 1 25 -30 + 10 26. -34 + 16

  10. Integers • A Contents Subtracting Integers

  11. Contents Provide the answer for the following: 3 – 1 = Can we solve this problem using what you’ve learned about addition? 3 + (-1) = 6 - 5 = Can we solve this problem using what you’ve learned about addition? 6 + (-5) = 14 – 8 = Can we solve this problem using what you’ve learned about addition? 6. 14 + (-8)

  12. Contents For Subtraction… EVERY SUBTRACTION PROBLEM CAN BE MADE AN ADDITION PROBLEM!!! (The inverse of subtraction in addition.)

  13. Contents Just remember three LITTLE, BITTY, TINY words… ADD THE OPPOSITE!

  14. Contents Make each of these subtraction problems an equivalent addition problem: 5 - 3 = 6 - 4 = 10 - 1 = -5 – 4 = -2 – (-7) =

  15. Subtracting integers We can use a number line to help us subtract positive and negative integers. << Change to Addition >> 5 – 8 = = –3 5 + (-8) = = –3 -3 5

  16. Subtracting integers We can use a number line to help us subtract positive and negative integers. << Change to Addition >> 3 + 6 = = 9 3 – –6 = = 9 3 9 3 – –6 is the same as 3 + 6

  17. Subtracting integers We can use a number line to help us subtract positive and negative integers. << Change to Addition >> –4 – –7 = = 3 –4 + 7 = = 3 -4 3 –4 – –7 is the same as –4 + 7

  18. Examples: • 8 – 13 • 6 – 14 • - 10 – 1 • 1 – (-2) • 4 – (-8) • -3 – (-5) • -7 – (-4) = -5 = -8 = -11 = 3 = 12 = 2 = -3

  19. Let’s Discover/Develop a Rule… • Use the “Developing a Rule” Organizer

  20. Small Group/Partner Practice • Glencoe Textbook – • Page 105 - #1-8 • Page 105 - #29-40

  21. “Row, Row, Row Your Boat!” • Operations with Integers song

  22. Exercise • Work out the following • 4 – 6 • +5 – 6 • 4 – 10 • 2 – 6 • 3 – 3 • 4 – (-2) • 5 - -4 • -9 – (-5) • 3 – 6 • – 2 – 3 • – 3 – 3 • 0 – 5 • 5 – 11 – 2

  23. Extra Practice Below

  24. Exercise B • Work out the following • – 8 + 9 • – 6 + 10 • – 2 + 8 • 0 – 8 • 3 – 10 • 8 – 10 • 7 – 9 • 4 – 10 • 5 – 9 • – 8 + 8 • 6 – 12 – 4 • 7 – 10 + 3 • – 3 + 10 – 7 • 6 – 12 + 6 • 8 – 16 – 3

  25. Exercise C • Work out the following • 4 + – 2 • 2 + – 3 • 4 – –2 • 5 – – 4 • 15 – – 3 • 4 – – 6 • – 9 – – 5 • – 10 + – 7

  26. Exercise E Ten Ticks. Level 5. Pack 4. Page 3

  27. Ordered addition square Copy the grid and work out the numbers in the empty squares

  28. Ordered subtraction square Copy the grid and work out the numbers in the empty squares

  29. Mixed subtraction square Copy the grid and work out the numbers in the empty squares

  30. Integer cards - addition and subtraction Complete the sums

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