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Distributive property

Distributive property. Multiplication Over Additon. D. (3 x 7) + ( 3 x 2 ) = _____ (6 x 3) + (6 x 5) = _____ (8 x 2) + (8 x 4) = _____ . B. C. Apply your knowledge of order of operations.

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Distributive property

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  1. Distributive property Multiplication Over Additon

  2. D (3x 7) + (3x 2) = _____ (6x 3) + (6x5) = _____ (8x2) + (8x4) = _____ B C • Apply your knowledge of order of operations. • Choose 3 expression from the blue box that have the same value as expressions 1, 2, and 3 shown in the pink box. 7(4+2) = (7x4) + (7x 2) = 7x 6 A. 3 x7 x 2 d. 3 x9 b. 6 x(3+5) e. 6 +5 + 3 c. 8 x2+8x4 f. (8 x2) +4

  3. Together we will discover ways to show or Model our understanding of the distributive property 7(4+2) = (7x4) + (7x 2) = 7x 6

  4. (7x4) + (7x 2) = 7x 6 Take a Look Do you see patterns that can help explain the distributive property? 7(4+2) = (7x4) + (7x 2) = 7x 6 7(4+2) = (7x4) + (7x 2

  5. How can both expressions be equal if only one of them has parentheses? (7x4) + (7x 2) = 7x 6 Without the parentheses, the two multiplication problems would be solved first. Then the two values added together. 7(4+2) = (7x4) + (7x 2) = 7x 6 7(4+2) = (7x4) + (7x 2

  6. How can both expressions be equal if only one of them has parentheses? (7x4) + (7x 2) = 7x 6 The Solution 7(4+2) = (7x4) + (7x 2) = 7x 6 7(4+2) = (7x4) + (7x 2

  7. We can represent • the distributive property • Using pictures and models 7(4+2) = (7x4) + (7x 2) = 7x 6

  8. A pictorial view of The distributive property (7x4) + (7x 2) = 7x 6 (8x2) + (8x4) = 8x (2+4) 16 (8x2) 7(4+2) = (7x4) + (7x 2) = 7x 6 (8x6) (8x4) 32 7(4+2) = (7x4) + (7x 2

  9. It is Your turn to model this one (7x4) + (7x 2) = 7x 6 • (3x 5) + (3x 3) = 3x (___+ ___) (3x5) (3x3) • Build the two arrays for this problem. • Think about which two numbers belong in the blanks spaces • 3x (_?+ _?) 7(4+2) = (7x4) + (7x 2) = 7x 6 (3x8) 7(4+2) = (7x4) + (7x 2

  10. It is Your turn to model this one (7x4) + (7x 2) = 7x 6 (2x10) (2x2) • Build the two arrays for this problem. • Do you know the number that belongs in the blanks space? s • 2 x (10 + _?) 7(4+2) = (7x4) + (7x 2) = 7x 6 (2 x 12) 7(4+2) = (7x4) + (7x 2

  11. It is Your turn to model this one (7x4) + (7x 2) = 7x 6 Build the two arrays for this problem. What are two other ways to express (4 x 2) + (4 x 6) 7(4+2) = (7x4) + (7x 2) = 7x 6 7(4+2) = (7x4) + (7x 2

  12. Example: Can you use the model to write the equivalent expressions? 7(4+2) = (7x4) + (7x 2) = 7x 6

  13. Can you use the model to write the equivalent expressions? 7(4+2) = (7x4) + (7x 2) = 7x 6

  14. Can you use the model to write the equivalent expressions? 7(4+2) = (7x4) + (7x 2) = 7x 6

  15. Can you use the model to write the equivalent expressions? 7(4+2) = (7x4) + (7x 2) = 7x 6

  16. Can you use the model to write the equivalent expressions? 7(4+2) = (7x4) + (7x 2) = 7x 6

  17. Can you use the model to write the equivalent expressions? 7(4+2) = (7x4) + (7x 2) = 7x 6

  18. What do you notice about each expression inside the parentheses? Each sum inside the parentheses is 7 7(4+2) = (7x4) + (7x 2) = 7x 6

  19. represent 4 x 9 Three different ways by shading the grids on your recording sheet 7(4+2) = (7x4) + (7x 2) = 7x 6

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