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SWBAT…compute problems involving dividing exponents Agenda 1. WU (5 min) 2. Quiz (10 min) 2. Lesson on exponents (3 slides & lots of ex) Power of a Quotient (6) Quotient of Powers (7) WARM-UP 1. Simplify: (3ag 3 ) 4 (5a 2 g 3 ) 2 2. Is 2 2 4 4 equal to 8 6 ? 3. Simplify: (3 x 10 4 )(5 x 10 2 ) HW #3: Dividing Monomials
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SWBAT…compute problems involving dividing exponents Fri, 3/9 Agenda 1. Quiz (15 min) 2. Correct quiz (10 min) 3. Lesson on exponents (20 min) Power of a Quotient (6) Quotient of Powers (7) HW #3: Dividing Monomials
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Laws of Exponents
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Power of a Quotient (6) Words: If you have a quotient inside the parentheses, and a power on the parentheses, then the power goes on each coefficient and/or each variable inside (both the numerator and the denominator.) Symbols: For any real number x and y ≠ 0, and any integer m, Examples:
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Examples
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Quotient of Powers (7) Words: To divide two powers with the same base, subtract the exponents. Symbols: For any nonzero number x, and any integer m and n, Examples:
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Examples (1/3)
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OR Examples (2/3)
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8 -3 = OR Examples (3/3)
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Mon, 3/12 SWBAT… simplify monomials Agenda 1. WU: Using formulas & units (10 min) 2. All 7 exponents rules: Think, Pair, Share (35 min) Warm-Up:
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Think, Pair, Share 1. Think: You will have 1 minute to write down the problem to simplify it and think on your own. 2. Pair: You will have 2 minutes to talk with your partner to compare answers or discuss how to simplify the problem. 3. Share: After 2 minutes, write the answer on the white board and show me.
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Think, Pair, Share 1. 2. 3. 4. 5.
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Answers 2. 3. 4. 5. 1.
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Simplifying Monomials 1. 2. 3. 4. 5. 6. 7. 8. 9. 10.
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Answers 1. 2. 3. 4. 5. 6.
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When working with exponents, you're dealing with multiplication. Since order doesn't matter for multiplication, you will often find that you and a friend (or you and the teacher) have worked out the same problem with completely different steps, but have gotten the same answer in the end. This is to be expected. As long as you do each step correctly, you should get the correct answers. Don't worry if your solution doesn't look anything like your friend's; as long as you both got the right answer, you probably both did it "the right way". http://www.purplemath.com/modules/simpexpo2.htm
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