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Georgia

Unit 2 Frameworks 
All of Unit 2 
Unit 21 : 
Georgia Standards of Excellence (Click to Expand)
MGSE912.A.REI.1:Using algebraic properties and the properties of real numbers, justify the steps of a simple, onesolution equation. Students should justify their own steps, or if given two or more steps of an equation, explain the progression from one step to the next using properties.
MGSE912.A.REI.3:Solve linear equations and inequalities in one variable including equations with coefficients represented by letters. For example, given ax+3=7, solve for x.
MGSE912.A.CED.4:rearrange formulas to highlight a quantity of interest using the same reasoning as in solving equations.
Quick Example: Video
Video Lessons: (p1, p2, p3, p4)
Sample Quiz: (Interactive, PDF) 

Unit 22 : 
Solving Equations Applications (Doc, PDF, Key)
Word List (Doc, PDF)
Georgia Standards of Excellence (Click to Expand)
MGSE912.A.CED.1:Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear functions.
MGSE912.A.REI.3:Solve linear equations and inequalities in one variable including equations with coefficients represented by letters. For example, given ax+3=7, solve for x.
Video Lessons: (p1, p2, p3, p4)
Sample Quiz: (Interactive, PDF)


Unit 23: 
Basic Inequalities (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)
MGSE912.A.REI.3:Solve linear equations and inequalities in one variable including equations with coefficients represented by letters. For example, given ax+3=7, solve for x
Video Lessons: (p1, p2)
Sample Quiz: (Interactive, PDF) 

Unit 24: 
System of Equations Graphing (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)
MGSE912.A.REI.6: Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.
MGSE912.A.REI.10: Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane.
MGSE912.A.REI.11:Using graphs, tables, or successive approximations, show that the solutions to the equation f(x)= g(x) is the xvalue where the yvalues of f(x) and g(x) are the same.
Video Lessons: (p1, p2)
Sample Quiz: (Interactive, PDF) 

Unit 25: 
System of Equations Algebra (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)
MGSE912.A.REI.5: Show and explain why the elimination method works to solve a system of twovariable equations.
MGSE912.A.REI.6: Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.
Video Lessons: (p1, p2, p3)
Sample Quiz: (Interactive, PDF) 

Unit 26: 
System of Equations Application (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)
MGSE912.F.BF.1 Write a function that describes a relationship between two quantities.
MGSE912.A.CED.2: Create linear equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
Video Lessons: (p1, p2, p3, p4 )
Sample Quiz: (Interactive, PDF) 

Unit 27: 
System of Inequalities Graphing (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)
MGSE912.A.REI.12: Graph the solution set to a linear inequality two variables.
MGSE912.A.CED3:Represent constraints by equations or inequalities and by systems of equations and/or inequalities, and interpret data points as possible or not possible under establish constraints.
Video Lessons: (p1, p2, p3, p4)
Sample Quiz: (Interactive, PDF)


Unit 28: 
Introduction to Functions (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)
MGSE912.F.IF.1: Understand that a function from one set to another set assigns to each element of the domain exactly one element of the range. If f is a function, x is the input and f(x) is the output. Graphically, the graph is y = f(x)
MGSE912.F.IF.2: Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.
Video Lesons: (p1, p2, p3, p4)
Sample Quiz: (Interactive, PDF) 

Unit 29: 
Building Linear & Exponential Functions (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)
MGSE912.F.LE.2: Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two inputoutput pairs.
MGSE912.A.CED2: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.
MGSE912.F.BF.1:Write a function that describes a relationship between two quantities.
MGSE912.F.LE.1c:Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.
MGSE912.F.LE.5:Interpret the parameters in a linear (f(x) = mx+b) and exponential (f(x) =a*d^x)function in terms of context. In context, students should describe what these parameters mean in terms of change and starting value.
Video Lessons: (p1, p2, p3)
Sample Quiz: (Interactive, PDF)


Unit 210: 
Domain & Range of Functions (Doc, PDF, Key)
PowerPoint Animation, Sketchpad Animation
Georgia Standards of Excellence (Click to Expand)
MGSE912.F.IF.1: Understand that a function from one set to another set assigns to each element of the domain exactly one element of the range. If f is a function, x is the input and f(x) is the output. Graphically, the graph is y = f(x)
MGSE912.F.IF.5:Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.
Video Lessons: (p1, p2, p3)
Sample Quiz: (Interactive, PDF) 

Unit 211: 
Describing Functions (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)
MGSE912.F.IF.4 Using tables, graphs, and verbal descriptions, interpret key characteristics of functions 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.
MGSE912.F.IF.6: Calculate and interpret the average rate of change of a function over a specified interval. Estimate the rate of change from a graph.
MGSE912.F.IF.7: Graph functions expressed algebraically and show key features of the graph both by hand and by using technology.
MGSE912.F.IF.7a: Graph linear & quadratic functions and show intercepts, maxima, and minima (as determined by the function or by context).
MGSE912.F.LE.1a:Show that linear functions grow by equal differences over equal intervals and that exponential functions grow by equal factors over equal intervals.
MGSE912.F.IF.9:Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions)
MGSE912.F.LE.1b:Recognize situation in which one quantity changes at a constant rate per unit interval relative to another.
MGSE912.F.LE.3:Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or as a polynomial function.
Video Lessons: (p1, p2, p3, p4)
Sample Quiz: (Interactive, PDF)


Unit 212: 
Basic Transforms of Functions (Doc, PDF, Key)
GSP Demo1, GSP Demo2
Georgia Standards of Excellence (Click to Expand)
MGSE912:Identify the effect on the graph of replacing f(x) by f(x)+k, kf(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: (p1a, p1b, p2a, p2b, p3, p4, p5)
Sample Quiz: (Interactive, PDF) 

Unit 213: 
Composition of Functions (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)
(OPTIONAL)
Video Lessons: (p1, p2)
Sample Quiz: (Interactive, PDF)


Unit 214: 
Even Odd Functions (Doc, PDF, Key)
Sketchpad Animation (Odd Fold, Even Fold)
Georgia Standards of Excellence (Click to Expand)
MGSE912:Identify the effect on the graph of replacing f(x) by f(x)+k, kf(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)
Sample Quiz: (Interactive, PDF) 

Unit 215: 
Sequences (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)
MGSE912.F.BF.1a:Determine an explicit expression and the recursive process (steps for calculation) from context.
MGSE912.F.BF.2:Write arithmetic & 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.
MGSE912.F.IF.3:Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers.
MGSE912.F.LE.2: Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two inputoutput pairs.
Video Lessons: (p1, p2, p3, p4, p5)
Sample Quiz: (Interactive, PDF)


TEST : 
Testing Item Banks for Exam View
(396 available questions for Unit 2)
Password Required
ExamView Video Instructions (How To Make a Test)
Author: Matt Winking


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