# Distributive property

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22-Feb-2016Category

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DistributivepropertyMultiplicationOver Additon7(4+2) = (7x4) + (7x 2) = 7x 6 (3x 7) + (3x 2) = _____ (6x 3) + (6x 5) = _____ (8x2) + (8x 4) = _____ DBCA. 3 x 7 x 2 d. 3 x 9b. 6 x (3+ 5) e. 6 + 5 + 3 c. 8 x 2+ 8 x 4 f. (8 x 2) + 4Apply 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 Together we will discover ways to show or Modelour understanding of the distributive property

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

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

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

The Solution7(4+2) = (7x4) + (7x 2) = 7x 6 We can represent the distributive propertyUsing pictures and models

(7x4) + (7x 2) = 7x 6 7(4+2) = (7x4) + (7x 2) = 7x 6 7(4+2) = (7x4) + (7x 2 A pictorial view ofThe distributive property (8x2) + (8x 4) = 8x (2+4) (8x2)(8x4)(8x6)1632(7x4) + (7x 2) = 7x 6 7(4+2) = (7x4) + (7x 2) = 7x 6 7(4+2) = (7x4) + (7x 2 It is Your turn to model this one(3x5)(3x3)(3x 5) + (3x 3) = 3x (___+ ___)(3x8)Build the two arrays for this problem.

Think about which two numbers belong in the blanks spaces 3x (_? + _?)

(7x4) + (7x 2) = 7x 6 7(4+2) = (7x4) + (7x 2) = 7x 6 7(4+2) = (7x4) + (7x 2 It is Your turn to model this one(2x10)(2x2)(2 x 12)Build the two arrays for this problem.

Do you know the number that belongs in the blanks space? s 2 x (10 + _?)

(7x4) + (7x 2) = 7x 6 7(4+2) = (7x4) + (7x 2) = 7x 6 7(4+2) = (7x4) + (7x 2 It is Your turn to model this one

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 Example: Can you use the model towrite the equivalent expressions?

7(4+2) = (7x4) + (7x 2) = 7x 6

Can you use the model towrite the equivalent expressions?

7(4+2) = (7x4) + (7x 2) = 7x 6 Can you use the model towrite the equivalent expressions?

7(4+2) = (7x4) + (7x 2) = 7x 6 Can you use the model towrite the equivalent expressions?

7(4+2) = (7x4) + (7x 2) = 7x 6 Can you use the model towrite the equivalent expressions?

7(4+2) = (7x4) + (7x 2) = 7x 6 Can you use the model towrite the equivalent expressions?

7(4+2) = (7x4) + (7x 2) = 7x 6 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 represent4 x 9 Three different ways by shading the grids on your recording sheet