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Understanding Properties of Addition in Middle School Mathematics

This lesson focuses on the properties of addition, including the Commutative, Associative, and Distributive properties. It is designed for middle school students and follows a quick review of addition concepts. The accompanying PowerPoint presentation uses both algebraic and numerical examples to illustrate each property. Students will engage in a review session where they can practice identifying each property and answering questions related to them. This interactive lesson aims to reinforce the foundational understanding of addition properties.

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Understanding Properties of Addition in Middle School Mathematics

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  1. Properties of Addition Lesson by Vi Thai

  2. Properties Unit • Middle School • This lesson on the properties of addition should come after students have done a quick review of addition. This power point presentation is to accompany the introductory lesson.

  3. Commutative Property of Addition Algebraically: a + b = _____ b + a Frogs + Flies = ___________ Flies + Frogs Shoes + Socks = _____________ Socks + Shoes Numerically: 5 + 3 = _____ 3 + 5 8 = 8 6 + 8 = _____ 8 + 6 14 = 14

  4. Associative Property of Addition Algebraically: (a + b ) + c = ____________ a + (b + c) (Chickens + Ducks) + Horses = _________________________ Chickens + (Ducks + Horses) (Keyboard + Mouse) + Monitor = _________________________ Keyboard + (Mouse + Monitor) Numerically: (3 + 5 ) + 7 = ____________ 3 + (5 + 7) 15 = 15 (2 + 7 ) + 5 = ____________ 2 + (7 + 5) 14 = 14

  5. Distributive Property Multiplication over Addition Algebraically: 5 * (a + b ) = ________ 5a + 5b 5 Apples + 5 Bananas 5 * (Apples + Bananas) = 5(3) + 5(4) = ______ 5 * (3 + 4) = _________ 15 + 20 = ___ 35

  6. Let’s do a quick review! In the next few slides, you will be asked to complete each question with the correct answer. Choose a, b, c or d. Good luck!

  7. The Commutative Property States that: • a + b = a + b a. c. b – a b + a a – b b. d.

  8. Correct! • The Commutative Property states: a + b = b + a • Go to the next question!

  9. Sorry! • Your answer is incorrect! Please try again!

  10. The Associative Property States that: • a + (b + c) = (a + b + c) a. c. (a + c) + b (a + b) - c (a + b) + c b. d.

  11. Correct! • The Associative Property states: a + (b + c) = (a + b) + c • Go to the next question!

  12. Sorry! • Your answer is incorrect! Please try again!

  13. The Distributive Property states: 2 * (x + y) = 2x + y a. c. 2x + 2y x + 2y 2x – 2y b. d.

  14. Sorry! • Your answer is incorrect! Please try again!

  15. Correct! • The Distributive Property states: 2 * (x + y) = 2x + 2y • Great job! You have completed the review! END

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