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4.2 the distributive property
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4.2 the distributive property

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    • 1. 4.2 DISTRIBUTIVE PROPERTY October 14, 2010
    • 2. WARM UP Begin this warm-up as soon as you enter the classroom. Make sure you have copied down your homework for tonight, and that you have out your homework due today. Finish (if you haven’t already) page 169 - 171: 1 - 14 Page 172: 23 - 27 Go get a puzzle from the back of the room and work quietly.
    • 3. STANDARDIZED TEST PRACTICE Your class held a two-day car wash. The class washed 40 cars on the first day and 30 cars on the second day. The class charged $5 for each car. Which equation can be used to find t, the total amount of money raised by the class? a) t = 5(40) + 30 b) t = 5(40) - 5(30) c) 40 + 30 d)5(40 + 30)
    • 4. STANDARDIZED TEST PRACTICE Your class held a two-day car wash. The class washed 40 cars on the first day and 30 cars on the second day. The class charged $5 for each car. Which equation can be used to find t, the total amount of money raised by the class? a) t = 5(40) + 30 b) t = 5(40) - 5(30) There are two ways to solve this! c) 40 + 30 d)5(40 + 30)
    • 5. METHOD 1
    • 6. METHOD 1 Your class held a two-day car wash. The class washed 40 cars on the first day and 30 cars on the second day. The class charged $5 for each car. Which equation can be used to find t, the total amount of money raised by the class?
    • 7. METHOD 1 Your class held a two-day car wash. The class washed 40 cars on the first day and 30 cars on the second day. The class charged $5 for each car. Which equation can be used to find t, the total amount of money raised by the class? Write an expression for the total number of cars washed. Then multiply the charge per car.
    • 8. METHOD 1 Your class held a two-day car wash. The class washed 40 cars on the first day and 30 cars on the second day. The class charged $5 for each car. Which equation can be used to find t, the total amount of money raised by the class? Write an expression for the total number of cars washed. Then multiply the charge per car. t = charge per car x total number of cars washed
    • 9. METHOD 1 Your class held a two-day car wash. The class washed 40 cars on the first day and 30 cars on the second day. The class charged $5 for each car. Which equation can be used to find t, the total amount of money raised by the class? Write an expression for the total number of cars washed. Then multiply the charge per car. t = charge per car x total number of cars washed t = 5 (40 +30)
    • 10. METHOD 1 Your class held a two-day car wash. The class washed 40 cars on the first day and 30 cars on the second day. The class charged $5 for each car. Which equation can be used to find t, the total amount of money raised by the class? Write an expression for the total number of cars washed. Then multiply the charge per car. t = charge per car x total number of cars washed t = 5 (40 +30) t = 5 (70) = 350
    • 11. METHOD 1 Your class held a two-day car wash. The class washed 40 cars on the first day and 30 cars on the second day. The class charged $5 for each car. Which equation can be used to find t, the total amount of money raised by the class? Write an expression for the total number of cars washed. Then multiply the charge per car. t = charge per car x total number of cars washed t = 5 (40 +30) t = 5 (70) = 350
    • 12. METHOD 2
    • 13. METHOD 2 Your class held a two-day car wash. The class washed 40 cars on the first day and 30 cars on the second day. The class charged $5 for each car. Which equation can be used to find t, the total amount of money raised by the class?
    • 14. METHOD 2 Your class held a two-day car wash. The class washed 40 cars on the first day and 30 cars on the second day. The class charged $5 for each car. Which equation can be used to find t, the total amount of money raised by the class? Write an expression for the amount raised each day then find their sum.
    • 15. METHOD 2 Your class held a two-day car wash. The class washed 40 cars on the first day and 30 cars on the second day. The class charged $5 for each car. Which equation can be used to find t, the total amount of money raised by the class? Write an expression for the amount raised each day then find their sum. t = first day amount + second day amount
    • 16. METHOD 2 Your class held a two-day car wash. The class washed 40 cars on the first day and 30 cars on the second day. The class charged $5 for each car. Which equation can be used to find t, the total amount of money raised by the class? Write an expression for the amount raised each day then find their sum. t = first day amount + second day amount t = 5 x 40 + 5 x 30
    • 17. METHOD 2 Your class held a two-day car wash. The class washed 40 cars on the first day and 30 cars on the second day. The class charged $5 for each car. Which equation can be used to find t, the total amount of money raised by the class? Write an expression for the amount raised each day then find their sum. t = first day amount + second day amount t = 5 x 40 + 5 x 30 t = 200 + 150 = 350
    • 18. METHOD 2 Your class held a two-day car wash. The class washed 40 cars on the first day and 30 cars on the second day. The class charged $5 for each car. Which equation can be used to find t, the total amount of money raised by the class? Write an expression for the amount raised each day then find their sum. t = first day amount + second day amount t = 5 x 40 + 5 x 30 t = 200 + 150 = 350
    • 19. WATCH, LISTEN & LEARN TAKE NOTES!!! http://www.algebra.com/algebra/homework/ Distributive-associative-commutative-properties/ The-Distributive-Property.lesson
    • 20. USING THE DISTRIBUTIVE PROPERTY 2 (50 + 6) = 10 (8.6 - 2.4)
    • 21. EVALUATING USING MENTAL MATH
    • 22. EVALUATING USING MENTAL MATH 6(87)
    • 23. EVALUATING USING MENTAL MATH 6(87) Using mental math rewrite 87 as 90 -3
    • 24. EVALUATING USING MENTAL MATH 6(87) Using mental math rewrite 87 as 90 -3 = 6(90 - 3)
    • 25. EVALUATING USING MENTAL MATH 6(87) Using mental math rewrite 87 as 90 -3 = 6(90 - 3) = 6(90) - 6(3)
    • 26. EVALUATING USING MENTAL MATH 6(87) Using mental math rewrite 87 as 90 -3 = 6(90 - 3) = 6(90) - 6(3) = 540 - 18
    • 27. EVALUATING USING MENTAL MATH 6(87) Using mental math rewrite 87 as 90 -3 = 6(90 - 3) = 6(90) - 6(3) = 540 - 18 = 522
    • 28. EVALUATING USING MENTAL MATH 6(87) Using mental math rewrite 87 as 90 -3 = 6(90 - 3) = 6(90) - 6(3) = 540 - 18 = 522
    • 29. EVALUATING USING MENTAL MATH
    • 30. EVALUATING USING MENTAL MATH 8(6.1)
    • 31. EVALUATING USING MENTAL MATH 8(6.1) = 8 (6 + .1)
    • 32. EVALUATING USING MENTAL MATH 8(6.1) = 8 (6 + .1) = 8(6) + 8(.1)
    • 33. EVALUATING USING MENTAL MATH 8(6.1) = 8 (6 + .1) = 8(6) + 8(.1) = 48 + .8
    • 34. EVALUATING USING MENTAL MATH 8(6.1) = 8 (6 + .1) = 8(6) + 8(.1) = 48 + .8 = 48.8
    • 35. EVALUATING USING MENTAL MATH 8(6.1) = 8 (6 + .1) = 8(6) + 8(.1) = 48 + .8 = 48.8
    • 36. USING A FORMULA
    • 37. USING A FORMULA D=? r=? t=?
    • 38. USING A FORMULA The Hubble Telescope orbited Earth at a rate of about 4.78 miles per second. How far did the telescope travel in 3 seconds? D=? r=? t=?
    • 39. USING A FORMULA The Hubble Telescope orbited Earth at a rate of about 4.78 miles per second. How far did the telescope travel in 3 seconds? Distance = rate x time D=? r=? t=?
    • 40. USING A FORMULA The Hubble Telescope orbited Earth at a rate of about 4.78 miles per second. How far did the telescope travel in 3 seconds? Distance = rate x time D=? r=? D = rt t=?
    • 41. USING A FORMULA The Hubble Telescope orbited Earth at a rate of about 4.78 miles per second. How far did the telescope travel in 3 seconds? Distance = rate x time D=? r=? D = rt t=? D = (4.78)(3)
    • 42. USING A FORMULA The Hubble Telescope orbited Earth at a rate of about 4.78 miles per second. How far did the telescope travel in 3 seconds? Distance = rate x time D=? r=? D = rt t=? D = (4.78)(3) D = (5)3 - (.22)3
    • 43. USING A FORMULA The Hubble Telescope orbited Earth at a rate of about 4.78 miles per second. How far did the telescope travel in 3 seconds? Distance = rate x time D=? r=? D = rt t=? D = (4.78)(3) D = (5)3 - (.22)3 D = 15 - .66 = 14. 34
    • 44. USING A FORMULA The Hubble Telescope orbited Earth at a rate of about 4.78 miles per second. How far did the telescope travel in 3 seconds? Distance = rate x time D=? r=? D = rt t=? D = (4.78)(3) D = (5)3 - (.22)3 D = 15 - .66 = 14. 34 14.34 miles
    • 45. PRACTICE Page 177: 2 - 6

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