Understanding the Distributive Property in Mathematics

Explore the concept of the distributive property through engaging visuals and examples. Learn how to apply distribution in algebraic expressions and different models for better understanding. Uncover common misconceptions and ways to respond effectively to mathematical challenges. Discover the power of distribution in solving math problems creatively.

• Mathematics
• Distributive Property
• Algebra
• Education
• Visual Learning

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1. Distributive Genies 15thJune, 2017 Ben Orlin Math with Bad Drawings

2. What is What is ?? ?? ?

4. The Distributive Property The Distributive Property

5. Algebraic Uses Algebraic Uses Where Distribution Leads

8. The Everything is Linear Error The Everything is Linear Error

9. Models for Thinking Models for Thinking How do we picture distribution?

10. Area Models Area Models

11. Money Models 3(? + 2) 3 bags, each with ? + 2 pounds = 3? + 2 3 bags of ? pounds each, + 2 pounds =

12. Money Models Money Models DOUBLES YOUR MONEY THEN GIVES YOU $4 GIVES YOU $4 THEN DOUBLES YOUR MONEY

13. Play around! Play around!

14. How do we respond? How do we respond? 1. Which genie? They re both the same, so it doesn t matter. 2. Which genie? Well, it depends how much money you have. 3. OK, I m done! I just plugged in 10 for each. 4. OK, I m done! I just expanded the brackets. 5. Why do I have to use x ? It s easier with numbers.

15. Extension Extension Triple genies Triple genies (and you pick the order) Nonlinear genies Nonlinear genies (composition of functions) Design Design- -your your- -own genies own genies (to fit certain criteria) All materials available at All materials available at http://mathwithbaddrawings.com/genies http://mathwithbaddrawings.com/genies