Chapter 7

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

7.1 Zero and Negative Exponents Zero as an Exponent Negative Exponent

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

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

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

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

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

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

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

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

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

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

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

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

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

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

7.8 Geometric Sequences Pg 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

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