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Unit 3-1: Rational Exponent to Radical (Doc, PDF, Key)
Georgia Standards (Click to Expand)
MGSE9-12.N.RN.2: Rewrite expressions involving radicals and rational exponents using the properties of exponents.

MGSE9-12.N.RN.: Explain how the meaning of rational exponents follows from extending the properties of integer exponents to rational numbers, allowing for a notation for radicals in terms of rational exponents. For example, we define 5^(1/3) to be the cube root of 5 because we want [5^(1/3)]^3 = 5^[(1/3)(3)] to hold, so [5^(1/3)]^3 must equal 5..


Video Lessons: (p1, p2 )

Sample Quiz: (Interactive, PDF)

Unit 3-2: Graphing Radical Functions (Doc, PDF, Key)
Georgia Standards (Click to Expand)

MGSE9-12.A.CED.2:Create linear, quadratic, and exponential equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. (Limit to rational and radical functions. The phrase “in two or more variables” refers to formulas like the compound interest formula, in which A = P(1 + r/n)^(nt) has multiple variables.)

MGSE9-12.F.IF.7 Graph functions expressed algebraically and show key features of the graph both by hand and by using technology.

MGSE9-12.F.IF.4 Using tables, graphs, and verbal descriptions, interpret the key characteristics of a function which models the relationship between two quantities. Sketch a graph showing key features including: intercepts; interval where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.

MGSE9-12.F.IF.7b Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value function

Video Lessons: (p1, p2a, p2b)

Sample Quiz:
(Interactive, PDF)

Unit 3-3: Radical Equations & Inequalities (Doc, PDF, Key)
Georgia Standards (Click to Expand)

MGSE9-12.A.REI.2 Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.

Video Lessons: (p1, p2, p3a, p3b, p3c)

Sample Quiz:(Interactive, PDF)
Unit 3-4: Composition of Functions (Doc, PDF, Key)
Georgia Standards (Click to Expand)
MGSE9-12.F.BF.1:Write a function that describes a relationship between two quantities.

MGSE9-12.F.BF.1b :Combine standard function types using arithmetic operations in contextual situations (Adding, subtracting, and multiplying functions of different types).

MGSE9-12.F.BF.1c: Compose functions. For example, if T(y) is the temperature in the atmosphere as a function of height, and h(t) is the height of a weather balloon as a function of time, then T(h(t)) is the temperature at the location of the weather balloon as a function of time.

Video Lessons:(p1, p2, p3)

Sample Quiz: (Interactive, PDF)


Unit 3-5: Inverses of Functions (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)
MGSE9-12.F.BF.4 Find inverse functions.

MGSE9-12.F.BF.4a Solve an equation of the form f(x) = c for a simple function f that has an inverse and write an expression for the inverse. For example, f(x) =2(x^2) or f(x) = (x+1)/(x-1) for x ≠ 1.

MGSE9-12.F.BF.4b Verify by composition that one function is the inverse of another.

MGSE9-12.F.BF.4c Read values of an inverse function from a graph or a table, given that the function has an inverse.

Quick Introduction: Video

Video Lessons:(p1, p2, p3, p4)

Sample Quiz: (Interactive, PDF)

TEST: Testing Item Banks for Exam View

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ExamView Video Instructions (How To Make a Test)

Author: Matt Winking & Walt Henry

 

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