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Georgia Unit 6 Frameworks All of Unit 6
Unit 6-1: Arithmetic & Geometric Sequences (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)

(ALGEBRA 1 - Review) : MGSE9-12.F.BF.2 Write arithmetic and geometric sequences recursively and explicitly, use them to model situations, and translate between the two forms. Connect arithmetic sequences to linear functions and geometric sequences to exponential functions.

Video Lessons: (p1, p2, p3, p4, p5)

Sample Quiz:(Interactive, PDF) Unit 6-2: Arithmetic & Geometric Series (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)

MGSE9-12.A.SSE.4 Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the formula to solve problems. For example, calculate mortgage payments.

Video Lessons: (p1, p2, p3, p4, p5)

Sample Quiz:(Interactive, PDF) Unit 6-3: Calculating Interest & Payments (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)

MGSE9-12.A.SSE.4 Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the formula to solve problems. For example, calculate mortgage payments.

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. (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.9 Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a graph of one function and an algebraic expression for another, say which has the larger maximum.

Video Lessons: (p1, p2, p3)

Sample Quiz:(Interactive, PDF) Unit 6-4 : Systems of Linear Equations (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)

MGSE9-12.A.CED.1 Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear, quadratic, simple rational, and exponential functions (integer inputs only).

MGSE9-12.A.CED.3 Represent constraints by equations or inequalities, and by systems of equation and/or inequalities, and interpret data points as possible (i.e. a solution) or not possible (i.e. a non-solution) under the established constraints.

Video Lessons: (p1, p2, p3, p4, p5a, p5b)

Sample Quiz:(Interactive, PDF) Unit 6-5: Systems of Linear Inequalities(Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)

MGSE9-12.A.CED.1 Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear, quadratic, simple rational, and exponential functions (integer inputs only).

Video Lessons: (p1, p2, p3, p4a, p4b)

Sample Quiz:(Interactive, PDF) Unit 6-6 : Solving Equations by Graphing (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)

MGSE9-12.A.REI.11 Using graphs, tables, or successive approximations, show that the solution to the equation f(x) = g(x) is the x-value where the y-values of f(x) and g(x) are the same.

Video Lessons: (p1, p2)

Sample Quiz:(Interactive, PDF) Unit 6-7: Literal Equations & Situations (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)

MGSE9-12.A.CED.4 Rearrange formulas to highlight a quantity of interest using the same reasoning as in solving equations. Examples: Rearrange Ohm’s law V = IR to highlight resistance R; Rearrange area of a circle formula A = π r^2 to highlight the radius r.

Video Lessons: (p1, p2)

Sample Quiz:(Interactive, PDF) Unit 6-8 : Function Characteristics (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)

MGSE9-12.F.IF.6 Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.

MGSE9-12.F.IF.9 Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a graph of one function and an algebraic expression for another, say which has the larger maximum.

MGSE9-12.F.BF.3 Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.

Video Lessons: (p1, p2)

Geometer's Sketchpad: (p1 Models, Even Fold, Odd Fold)

Sample Quiz:(Interactive, PDF) Unit 6-9: Function Transformations (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)

MGSE9-12.F.BF.3 Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.

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

Sample Quiz:(Interactive, PDF) TEST: Testing Item Banks for Exam View

(464 available questions for Unit 6) 