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Mastering the Distributive Property with Tiles and Real-World Applications

Discover how to effectively utilize the Distributive Property by ensuring every term is treated equally. This lesson will guide you on modeling expressions using tiles and provide examples of variable expressions. Learn to multiply and distribute factors to simplify expressions like 2(x + 4) into 2x + 8. Additionally, we'll discuss calculating areas of rectangles and applying mental math for real-life scenarios, such as estimating costs without paper. Prepare for the upcoming quiz with practice problems and access tutoring support!

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Mastering the Distributive Property with Tiles and Real-World Applications

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Presentation Transcript

  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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