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Chapter 7. 7.1 Zero and Negative Exponents Pg. 418 – 423 Obj: Learn how to simplify expressions involving zero and negative exponents. Content Standards:

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Presentation on theme: "Chapter 7. 7.1 Zero and Negative Exponents Pg. 418 – 423 Obj: Learn how to simplify expressions involving zero and negative exponents. Content Standards:"— Presentation transcript:

1 Chapter 7

2 7.1 Zero and Negative Exponents Pg. 418 – 423 Obj: Learn how to simplify expressions involving zero and negative exponents. Content Standards: Prepares for N.RN.1 and N.RN.2

3 7.1 Zero and Negative Exponents Zero as an Exponent Negative Exponent

4 7.2 Multiplying Powers With the Same Base Pg. 425 – 431 Obj: Learn how to multiply powers with the same base. Content Standard: N.RN.1

5 7.2 Multiplying Powers With the Same Base Multiplying Powers With the Same Base

6 7.3 More Multiplication Properties of Exponents Pg. 433 – 438 Obj: Learn how to raise a power to a power and a product to a power. Content Standard: N.RN.1

7 7.3 More Multiplication Properties of Exponents Raising a Power to a Power Raising a Product to a Power

8 7.4 Division Properties of Exponents Pg. 439 – 445 Obj: Learn how to divide powers with the same base and raise a quotient to a power. Content Standard: N.RN.1

9 7.4 Division Properties of Exponents Dividing Powers With the Same Base Raising a Quotient to a Power

10 7.5 Rational Exponents and Radicals Pg. 448 – 452 Obj: Learn how to rewrite expressions involving radicals and rational exponents. Content Standard: N.RN.2

11 7.5 Rational Exponents and Radicals Index – gives the degree of the root Equivalence of Radicals and Rational Exponents

12 7.6 Exponential Functions Pg. 453 – 459 Obj: Learn how to evaluate and graph exponential functions. Content Standards: F.IF.7.e, A.REI.11, A.CED.2, F.IF.4, F.IF.5, F.IF.9, and F.LE.2

13 7.6 Exponential Functions Exponential Function – a function of the form y=a(b^x)

14 7.7 Exponential Growth and Decay Pg. 460 – 466 Obj: Learn how to model exponential growth and decay. Content Standards: F.IF.8.b, A.SSE.1.b, A.SSE.3.c, A.CED.2, F.IF.4, F.BF.3, F.LE.1.c, and F.LE.5

15 7.7 Exponential Growth and Decay Exponential Growth – can be modeled by the following equation: a > 0; initial amount b > 1; growth factor Growth Factor – equals 1 plus the percent rate of change expressed as a decimal

16 7.7 Exponential Growth and Decay Compound Interest A = the balance P = the principal (the initial amount) r = the annual interest rate (expressed as a decimal) n = the number of times the interest is compounded per year t = the time in years

17 7.7 Exponential Growth and Decay Exponential Decay a > 0; initial amount 0<b<1; decay factor Decay Factor – equals 1 minus the percent rate of change expressed as a decimal

18 7.8 Geometric Sequences Pg. 467-472 Obj: Learn how to write and use recursive formulas for geometric sequences. Content Standards: F.BF.2, A.SSE.1.a, F.IF.3, F.BF.1.a, and F.LE.2

19 7.8 Geometric Sequences Geometric Sequence – a sequence in which the ratio of any term to its preceding term is a constant value Recursive Definition Initial Condition Recursive Formula Explicit Definition


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