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Understanding Multiplication and Division of Integers for 7th Grade Math

This lesson focuses on multiplying and dividing integers for 7th-grade students. We will explore the concept of multiplication as repeated addition and apply this understanding to multiplying both positive and negative integers. Key rules will be outlined: the product of two integers with the same sign is positive, while the product of two with different signs is negative. Similarly, we'll develop rules for division of integers. Engage with practice problems and activities to solidify your understanding of these concepts.

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Understanding Multiplication and Division of Integers for 7th Grade Math

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  1. Multiply and Divide Integers 7th Grade math October, 2013

  2. Next Clean Page of Notes!!! • Title – “Multiplying Integers” • Date – September 24, 2013

  3. Multiplying Integers Read • Easy, breezy, lemon, squeezy!!

  4. Read and Analyze Remember: Multiplication is repeated addition. So, 4 •2 is equivalent to 2+2+2+2 (4 groups of 2) Model the following problem on the number line: 4 • 2

  5. Read and Analyze Remember: Multiplication is repeated addition. So, -3 • 2 is equivalent to -3 + -3 (2 groups of -3) Model the following problem on the number line: -3 • 2

  6. “Multiplying Integers” Notes- Complete- Cut out- paste in notebook Complete and add to notebook

  7. Complete before moving on! “Develop a Rule” Activity DO NOT GO ANY FURTHER UNTIL YOU HAVE DONE THIS ACTIVITY

  8. So, What’s the Rule? Add Rule to Notes • If the factors have the same sign, your product is POSITIVE. • If the factors have a different sign, your product is NEGATIVE. SAME SIGN = POSTITIVE Product DIFFERENT SIGNS = NEGATIVE Product

  9. Multiplying integers – Check your answers on next slide Add these examples to notes • -3 x 8 = 2. -12 • 5 = • 3. 42 • -7 4. - 7 x -15 = • 5. -11 (- 8) = 6. (-4) (-5) (-8) = • 7. 47 • 2 = 8. 3 (-2) • 4 = • 9. -3 (- 6) =

  10. Multiplying integers – ANSWERS!! • -24 2. -60 • 3. -294 4. 105 • 5. 88 6. -160 • 7. 94 8. -24 • 9. 18

  11. Independent Practice • Glencoe Skills Practice • 2-6 • Additional Practice: • If needed, Glencoe Practice 2-6 • Mastery, Integer Maze Glencoe 2-6

  12. Dividing integers • Fact Families: • Using multiplication and division, show the fact families for the following problems. 8, 2, 16 3, 9, 27 4, 5, 20

  13. “Develop a Rule” Use your “Fact Family” organizer to develop a rule for dividing signed numbers. 1. - 6 (4) = 4 (- 6) = 2. 7 x (-3) = (-3) x 7 = 3. - 9 • - 4 = - 4 • - 9 =

  14. Dividing integers • Cut out the house you have not used. • Glue it into notebook. • Let’s work with the following numbers to complete a fact family house. • 8 • -3 = • What rule did you develop?

  15. So, What’s the Rule? • If the dividend and divisor have the same sign, your quotient is POSITIVE. • If the dividend and divisor have a different sign, your quotient is NEGATIVE. SAME SIGN = POSTITIVE DIFFERENT SIGNS = NEGATIVE (LOOK FAMILIAR?!?!?!!)

  16. Practice Problems • 55 ÷ (- 5) • -16 ÷ (-4) • 32 ÷ - 8 • -63 ÷ (-7) • -81 ÷ 9

  17. Independent Practice • Page 116 - #1-8

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