Distributive property
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This document discusses the distributive property of algebra. It begins with examples of using the distributive property to simplify expressions like 4 x 53 by distributing the 4 to both terms inside the parentheses. Students then work in groups to use a similar strategy to solve other expressions. The property is defined as a x (b + c) = a x b + a x c. More examples are worked through step-by-step, applying the property to expressions with variables like 5(2x - 3). Khan Academy videos are referenced for additional examples. Students are then asked to write their own challenging expressions using the distributive property and solve them, as well as write one question they have about the property.
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Distributive property
- 1. The Distributive Property of Algebra
- 2. Review On your notecard, please work these 5 problems individually. For each of these properties, write an equation that gives me an example of that property. I will collect 4 minutes after the bell and we will find my favorite no. 1. Associative Property of Addition 2. Commutative Property of Multiplication 3. Zero Property of Multiplication 4. Identity Property of Addition 5. Inverse Property of Multiplication
- 3. Today’s Target Today, I will be able to use and understand the distributive property of real numbers. SOL 7.16 b
- 4. Example: 4 x 53 =4(50 + 3) =(4 x 50) + (4 x 3) =200 + 12 =212 Work in groups of 2 to explain what is happening in the example, then use a similar strategy to solve problems 1-3. 1.7 x 67 2.8 x 91 3.5 x 142 Do Now
- 5. Distributive Property! What does “distribute” mean?
- 6. Distributive Property! The Distributive Property (of Algebra) says: + ac= aba(b + c)
- 7. Distributive Property How does this go along with our warm-up? 4 x 53 =4(50 + 3) =(4 x 50) + (4 x 3) =200 + 12 =212 + ac= aba(b + c)
- 8. Now with some variables… Simplify the following expressions… 5 (2x - 3) -7 (x + 2) 10 (2x - 5) -6 ( -2m + 2) = 10∙x- (5 ∙3) = -7∙x +(-7∙2) = -7x - 14 = 10∙2x - (5∙10) = (-6∙-2m) +(-6∙2) = 12x - 12 = 10x - 15 = 20x - 50
- 10. Write five challenging expressions that can be simplified using the distributive property and then solve them! Example (don’t use mine!) -7 (x + 2) = (-7•x) + (-7•2) =-7x + (-14) Lastly, write one question you have about the distributive property! Exit Ticket