Name the property shown by each statement. 1. a + (b + c) = (a + b) + c 2. 3(ab) = (ab)3 3. z + y + 0 = z + y 4. 7 h 0 = 0 5. Dance lessons cost $100 per.

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Presentation transcript:

Name the property shown by each statement. 1. a + (b + c) = (a + b) + c 2. 3(ab) = (ab)3 3. z + y + 0 = z + y 4. 7 h 0 = 0 5. Dance lessons cost $100 per couple per half hour. Assume 3 couples want to take dance lessons for an hour. Use mental math to find the total cost of the dance lessons for the couples. Course 2, Lesson 5-4

Answers 1. Associative (+) 2. Commutative (x) 3. Identity (+) 4. Multiplicative (0) 5. $600 Course 2, Lesson 5-4

HOW can you use numbers and symbols to represent mathematical ideas? Expressions and Equations Course 2, Lesson 5-4

To model the Distributive Property using algebra tiles To use the Distributive Property to evaluate numerical expressions Course 2, Lesson 5-4 Expressions and Equations

Course 2, Lesson 5-4 Expressions and Equations Distributive Property equivalent expressions

Course 2, Lesson 5-4 Expressions and Equations WordsThe Distributive Property states that to multiply a sum or difference by a number, multiply each term inside the parenthesis by the number outside the parenthesis. Symbols a(b + c) = ab + aca(b – c) = ab – ac Examples4(6 + 2) = (7 – 5) = 3 7 – 3 5

Course 2, Lesson 5-1 Expressions and Equations

Course 2, Lesson 5-1 Expressions and Equations

Course 2, Lesson 5-1 Expressions and Equations

Course 2, Lesson 5-1 Expressions and Equations

Course 2, Lesson 5-1 Expressions and Equations

Course 2, Lesson 5-1 Expressions and Equations

Course 2, Lesson 5-1 Expressions and Equations

Course 2, Lesson 5-1 Expressions and Equations

Course 2, Lesson 5-1 Expressions and Equations

Course 2, Lesson 5-1 Expressions and Equations

Course 2, Lesson 5-1 Expressions and Equations

Course 2, Lesson 5-1 Expressions and Equations

How did what you learned today help you answer the HOW can you use numbers and symbols to represent mathematical ideas? Course 2, Lesson 5-4 Expressions and Equations

How did what you learned today help you answer the HOW can you use numbers and symbols to represent mathematical ideas? Course 2, Lesson 5-4 Expressions and Equations Sample answers: By using the Distributive Property to evaluate numerical expressions By using the Distributive Property to rewrite algebraic expressions By using the Distributive Property to solve real-world problems

Explain how today’s lesson on the Distributive Property will help you with simplifying algebraic expressions. Ratios and Proportional RelationshipsExpressions and Equations Course 2, Lesson 5-4