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All of Unit 2 P1
All of Unit 2 P2 |
| Unit 2-1: |
Solving Basic Equations (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)
MGSE9-12.A.REI.1:Using algebraic properties and the properties of real numbers, justify the steps of a simple, one-solution 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.
MGSE9-12.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.
MGSE9-12.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)
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| Unit 2-2: |
Solving Equations Applications (Doc, PDF, Key)
Word List (Doc, PDF)
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 functions.
MGSE9-12.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)
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| Unit 2-3: |
Basic Inequalities (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)
MGSE9-12.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) |
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| Unit 2-4: |
System of Equations Graphing (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)
MGSE9-12.A.REI.6: Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.
MGSE9-12.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.
MGSE9-12.A.REI.11:Using graphs, tables, or successive approximations, show that the solutions 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)
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| Unit 2-5: |
System of Inequalities Graphing (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)
MGSE9-12.A.REI.12: Graph the solution set to a linear inequality two variables.
MGSE9-12.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)
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| Unit 2-6: |
Introduction to Functions (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)
MGSE9-12.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)
MGSE9-12.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)
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| Unit 2-7: |
Building Linear & Exponential Functions (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)
MGSE9-12.F.LE.2: Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs.
MGSE9-12.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.
MGSE9-12.F.BF.1:Write a function that describes a relationship between two quantities.
MGSE9-12.F.LE.1c:Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.
MGSE9-12.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)
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| Unit 2-8: |
Domain & Range of Functions (Doc, PDF, Key)
PowerPoint Animation, Sketchpad Animation
Georgia Standards of Excellence (Click to Expand)
MGSE9-12.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)
MGSE9-12.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) |
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| Unit 2-9: |
Describing Functions (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)
MGSE9-12.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.
MGSE9-12.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.
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.7a: Graph linear & quadratic functions and show intercepts, maxima, and minima (as determined by the function or by context).
MGSE9-12.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.
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)
MGSE9-12.F.LE.1b:Recognize situation in which one quantity changes at a constant rate per unit interval relative to another.
MGSE9-12.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)
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| Unit:2-10 |
Sequences (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)
Video Lessons: (p1, p2, p3, p4, p5)
Sample Quiz: (Interactive, PDF) |
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| TEST: |
Testing Item Banks for Exam View
(352 available questions for Unit 2)
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ExamView Video Instructions (How To Make a Test)
Author: Matt Winking
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