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The Distributive Property

The Distributive Property. Making sure EVERY TERM gets the same treatment!. How would you model using tiles?. 3 ( 2 + 4) means 3 groups of 2 + 4. 6. +. 18 Tiles. 6. +. 6. +. What about variable expressions?. How would you model 4(x -2). X - 2. What do you see?. X - 2. X - 2.

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The Distributive Property

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  1. The Distributive Property Making sure EVERY TERM gets the same treatment!

  2. How would you model using tiles? • 3 ( 2 + 4) means 3 groups of 2 + 4 6 + 18 Tiles 6 + 6 +

  3. What about variable expressions? • How would you model 4(x -2) X - 2 What do you see? X - 2 X - 2 X - 2

  4. Isn’t there an EASIER way? • Sure there is! • Using multiplication “DISTRIBUTE” the factor outside the grouping signs to EVERY TERM inside!!!!!! EXAMPLE: 2 (x +4) Becomes 2 x + 2 4 Now DO THE MATH! 2x + 4 is the final answer!

  5. Now YOU try! • 4(x + 4) • 6(y – 3) • -3(4-x) • - (5-x)

  6. What about the dreaded CRCT? • Find the area of this rectangle HINT!!! AREA = Length  Width 3 2x +2

  7. Now you try The box is 4 units wide 2 This line is 3x in length Find the area of the BLUE box!

  8. How is this used in mental math? • You have to buy 6 cds that cost $14.95 each. Without using paper and pencil, can you figure out the cost before tax in your head? THINK!!!!! 6  14.95 = 6 (15.00 – 0.05) = 6  15 - 6  0.05 = 90.00 – 0.30 The cds cost $89.70!

  9. Now you try • PWB Section 2.6 • How did you do? • Calculate your percent by taking # correct divided by 11 • Over 60%? You pass the CRCT • Over 70%? You can pass tomorrow’s quiz

  10. Final thoughts • Homework tonight is Text page 103 #1-16 • Quiz tomorrow covers section 2.1 through 2.6 • Tutoring available tomorrow morning at 8:15 AM

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