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The Distributive Property and Area Models

The Distributive Property and Area Models. Find the area of the rectangle. Area = length x width. 6 ft. 24 ft. Find the area of the rectangle. Area = length x width. 6 ft. 24 ft. Find the area of the rectangle. Area = length x width. 6 ft. 20 ft + 4 ft.

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The Distributive Property and Area Models

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  1. The Distributive PropertyandArea Models

  2. Find the area of the rectangle.Area = length x width 6 ft 24 ft

  3. Find the area of the rectangle.Area = length x width 6 ft 24 ft

  4. Find the area of the rectangle.Area = length x width 6 ft 20 ft + 4 ft

  5. Find the area of the rectangle.Area = length x width 6 ft 20 ft + 4 ft

  6. Find the area of the rectangle.Area = length x width 6 ft 6 ft 20 ft + 4 ft

  7. Find the area of the rectangle.Area = length x width Find the area of each rectangle. 6 ft 6 ft 20 ft + 4 ft

  8. Find the area of the rectangle.Area = length x width Find the area of each rectangle. 6 ft 6 ft 6 x 20 = 120 sq ft 20 ft + 4 ft

  9. Find the area of the rectangle.Area = length x width Find the area of each rectangle. 6 ft 6 ft 6 x 20 = 120 sq ft 6 x 4 = 24 sq ft 20 ft + 4 ft

  10. Find the area of the rectangle.Area = length x width Find the area of each rectangle. 6 ft 6 ft 120 sq ft 24 sq ft 20 ft + 4 ft

  11. Find the area of the rectangle.Area = length x width Now put the two rectangles back together. 6 ft 6 ft 120 sq ft 24 sq ft 20 ft + 4 ft

  12. Find the area of the rectangle.Area = length x width Now put the two rectangles back together. 6 ft 120 sq ft 24 sq ft 20 ft + 4 ft

  13. Find the area of the rectangle.Area = length x width Now put the two rectangles back together. 6 ft 120 sq ft 24 sq ft 20 ft + 4 ft

  14. Find the area of the rectangle.Area = length x width Now put the two rectangles back together. 6 ft 120 sq ft + 24 sq ft 24 ft

  15. Find the area of the rectangle.Area = length x width Now put the two rectangles back together. 6 ft 144 sq ft 24 ft

  16. A swimming pool has a shallow end and a deep end. Find the surface area of the pool. deepwater 8 yds shallow water 5 yds 10 yds

  17. Break the pool into a deep end and a shallow end. deepwater 8 yds 8 yds shallow water 10 yds 5 yds

  18. Find the area of the deep end. deepwater 8 yds 8 yds shallow water 10 yds 5 yds

  19. Find the area of the deep end. 8 x 5 = 40 8 yds 8 yds shallow water 10 yds 5 yds

  20. Find the area of the shallow end. 8 x 5 = 40 8 yds 8 yds shallow water 10 yds 5 yds

  21. Find the area of the shallow end. 8 x 5 = 40 8 yds 8 yds 8 x 10 = 80 10 yds 5 yds

  22. Now sum the two areas together. 8 x 5 = 40 8 yds 8 yds 8 x 10 = 80 10 yds 5 yds

  23. Now sum the two areas together. 40 80 + 8 yds 10 yds 5 yds

  24. 40 + 80 = 120 square yards 40 80 8 yds 5 yds 10 yds

  25. Write an expression that shows how to find the area of the rectangle and uses the distributive property. 9 yds 5 yds 20 yds

  26. Write an expression that shows how to find the area of the rectangle and uses the distributive property. 9 yds 9(5 + 20) 5 yds 20 yds

  27. Find the areas for each individual rectangle. 9 yds 5 yds 20 yds

  28. Find the areas for each individual rectangle. 9 yds (9 x 5) 5 yds 20 yds

  29. Find the areas for each individual rectangle. 9 yds (9 x 5) (9 x 20) 5 yds 20 yds

  30. Sum the two areas. 9 yds + (9 x 5) (9 x 20) 5 yds 20 yds

  31. (9 x 5) + (9 x 20) = area 9 yds (9 x 5) (9 x 20) 5 yds 20 yds

  32. (40) + (180) = area 9 yds (40) (180) 5 yds 20 yds

  33. (40) + (180) = area 212 yds2 9 yds 5 yds 20 yds

  34. Write an expression that shows how to find the area of the rectangle and uses the distributive property. 3 x 6

  35. Write an expression that shows how to find the area of the rectangle and uses the distributive property. 3 x 6 The length can be represented by x + 6.

  36. Write an expression that shows how to find the area of the rectangle and uses the distributive property. 3 x 6 Therefore, the area can be expressed as 3(x + 6) or 3x + 18

  37. The expression 10x + 15 can represent the area of the figure below. 10x 15 Find the expression that represents the length and the width. This problem was taken from the 6th Grade Mathematics Unpacked Content Document

  38. First, find the greatest common factor to represent the width. 10x 15 What is the greatest common factor? This problem was taken from the 6th Grade Mathematics Unpacked Content Document

  39. The GCF is 5. 5 10x 15 2x 3 Then use the distributive property to find the length (2x + 3) This problem was taken from the 6th Grade Mathematics Unpacked Content Document

  40. The factors (dimensions) of this figure would be 5(2x + 3) 5 2x 3 This problem was taken from the 6th Grade Mathematics Unpacked Content Document

  41. Practice Time

  42. Write an expression that shows how to find the area of the rectangle and uses the distributive property. 4 yds 3 yds 9 yds

  43. Write an expression that shows how to find the area of the rectangle and uses the distributive property. 4(3 + 9) 4 yds 3 yds 9 yds

  44. Write an expression that shows how to find the area of the rectangle and uses the distributive property. 4 yds 3 yds 9 yds

  45. Write an expression that shows how to find the area of the rectangle and uses the distributive property. 4 yds 3 yds 9 yds

  46. Write an expression that shows how to find the area of the rectangle and uses the distributive property. 4 yds 4 yds 3 yds 9 yds

  47. Write an expression that shows how to find the area of the rectangle and uses the distributive property. 4 yds 4 yds 4 x 3 3 yds 9 yds

  48. Write an expression that shows how to find the area of the rectangle and uses the distributive property. 4 yds 4 yds 4 x 3 4 x 9 3 yds 9 yds

  49. Write an expression that shows how to find the area of the rectangle and uses the distributive property. 4 x 3 4 x 9 4 yds 4 yds 3 yds 9 yds

  50. Write an expression that shows how to find the area of the rectangle and uses the distributive property. 4 x 3 4 x 9 4 yds 3 yds 9 yds

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