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Warm-up: p 104 #57-60
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Unit 4: Chapter 11 “Power Trip”
In this unit we will answer the following questions… What are the properties of exponents? How do I switch between rational exponents and radicals? How do I graph exponential functions? Since when is e a number? What is the difference between compound and continuous interest? How do I solve equations involving e, log, and natural log?
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Section 11-1: Real Exponents
The essential questions are… What affect does a power have on a number? How do exponents behave when their bases are added or subtracted? Multiplied? Divided? Raised to a power? What does it mean when a base has a negative exponent? A fractional exponent? An irrational exponent?
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What effect does a power have on a number?
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How do exponents behave when their bases are added or subtracted?
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How do they behave when their bases are multiplied?
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Divided?
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Raised to a power? Single base with an exponent? A product of bases?
A quotient?
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What about negative exponents?
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Try some…
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What if my exponent is NOT an integer?
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Solving equations involving rational exponents.
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Okay…What if my exponent is NOT rational?
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Sage and Scribe. One piece of paper per partnership.
One person does the thinking - Sage, the other writes - Scribe. Sage must tell the scribe exactly what to do but may not write anything. The sage must describe with words only. Scribe writes exactly what the Sage tells them to write. For next problem switch roles.
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Sage and Scribe. p A46 Lesson #1-19 odd
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Homework: p 700 #21 – 67 odd, 71, 73
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