1

Geometry and Measurement

 Construction and Measurement of Geometric Solids

 Identify the characteristics of different geometric shapes.
 Apply formulas to measure geometric shapes.

2

Basic Algebraic Operations

 Real Numbers and Polynomials
 Rational Expressions
 Rational Exponents and Radicals

 Identify and use properties of real numbers.
 Simplify algebraic expressions.
 Write rational numbers in different formats.
 Identify and classify polynomial and Radicals expressions.
 Perform operations on polynomials.
 Factor polynomials.
 Write a rational expression in simplest form
 Compute rational expressions.
 Simplify radical expressions.
 Multiply and divide radical expressions.

3

Linear Equations and Inequalities in One Variable

 Linear Equations and Applications
 Linear Inequalities and Applications
 Absolute Value in Equations and Inequalities

 Solve linear equations by using all properties of equality and the rules.
 Solve word problems using linear equations.
 Solve and graph linear inequalities.
 Solve an application using inequalities.
 Solve absolute value equalities and inequalities.

4

Quadratic Equations

 Factoring and solving Quadratic Equations using Factoring
 Completing the Square
 Quadratic Formula and Applications of the Quadratic Equations

 Write a quadratic equation in the standard form.
 Solve quadratic equations by factoring.
 Solve quadratic equations by the square root property.
 Solve quadratic equations by completing the square.
 Solve quadratic equations by using the quadratic formula.
 Solve word problems involving quadratic equations.
 Use the discriminant to identify the number of solutions.

5

Polynomial and Other Equations

 Polynomial Equations and Applications
 Equations Involving Radicals and Rational Exponents
 Complex Numbers

 Solve polynomial equations using the zero factor property.
 Solve rational equations.
 Solve radical equations.
 Identify and simplify complex numbers.
 Add and subtract complex numbers.
 Multiply and divide complex numbers.

6

Functions and Graphs

 Rectangular Coordinates and the Graph of a Line

 Use a table of values to graph linear equations.
 Determine when lines are parallel or perpendicular.
 Use linear graphs in an applied context.
 Identify functions and state their domain and range.
 Use function notation.
 Write a linear equation in function form.
 Use function form to identify the slope.
 Use slopeintercept form to graph linear functions.
 Write a linear equation in pointintercept form.
 Use the function form, the slopeintercept form, and the pointintercept form to solve applications.

7

Operations and Functions

 The Algebra and Composition Functions
 OnetoOne and Inverse Functions

 Compute a sum or difference of functions and determine the domain of the result.
 Compose two functions and find the domain.
 Identify onetoone functions.
 Find inverse functions using an algebraic method.
 Graph a function and its inverse.
 Graph factorable quadratic equations.
 Graph the square root, cubic, and cube root functions.
 Compute a product or quotient of functions and determine the domain of the result.

8

Analyzing Graphs

 PiecewiseDefined Functions
 Graphs and Symmetry
 Tranformations

 State the domain of a piecewisedefined function.
 Evaluate piecewisedefined functions.
 Graph functions that are piecewise defined.
 Identify different symmetry types.
 Use symmetry as an aid to graphing.
 Perform vertical and horizontal shifts of a basic graph.
 Perform vertical and horizontal reflections of a basic graph.
 Perform stretches and compressions on a basic graph.
 Transform the graph of a general function.

9

Graphing Polynomial Functions

 Graphing General Quadratic Functions
 Graphing Polynomial Functions
 Applications of Polynomial Functions

 Graph quadratic functions by completing the square and using transformations.
 Graph a general quadratic function using the vertex formula.
 Solve applications involving quadratic functions.
 Graph polynomial functions.
 Describe the end behavior of a polynomial graph.

10

Graphing Rational Functions

 Asymptotes and Rational Functions
 Graphing Rational Functions
 Applications of Rational Functions

 Graph the reciprocal and reciprocal quadratic functions.
 Identify horizontal and vertical asymptotes.
 Use asymptotes to graph transformations.
 Use asymptotes to determine the equation of a rational function from its graph.
 Find the domain of a rational function.
 Find the intercepts of a rational function.
 Graph general rational functions.
 Solve applications involving rational functions.

11

Exponential and Logarithmic Functions

 Exponential Functions
 Logarithms and Logarithmic Functions
 The Exponential Function and Natural Logarithm

 Evaluate an exponential function.
 Graph exponential functions.
 Solve certain exponential equations.
 Solve applications of exponential equations.
 Write exponential equations in logarithmic form.
 Graph logarithmic functions and find their domains.
 Solve applications of logarithmic functions.
 Evaluate and graph base exponential functions.
 Evaluate and graph the natural logarithm functions.
 Apply the properties of logarithms.
 Use the changeofbase formula.

12

Exponential and Logarithmic Equations

 Exponential Equations
 Logarithmic Equations
 Applications of Exponential and Logarithmic Equations

 Write logarithmic and exponential equations in simplified form.
 Solve exponential equations.
 Solve logarithmic equations.
 Solve applications involving exponential and logarithmic equations.
 Use exponential equations to find the interest compounded in times per year.
 Use exponential equations to find the interest compounded continuously.
 Solve exponential growth and decay problems.

13

Systems of Linear Equations in Two Variables

 Solving Systems Graphically and by Substitution
 Solving Systems using Elimination
 Applications of Linear Systems

 Verify ordered pair solutions.
 Solve linear systems by graphing.
 Solve linear systems by substitution.
 Solve linear systems by elimination.
 Recognize inconsistent systems (no solutions) and dependent systems (infinitely many solutions).
 Use a system of equations to mathematically model and solve applications.

14

Solving Linear Systems Using Augmented Matrices

 Matrices
 Solving Linear Systems using Matrix Equations
 More Applications of Linear Systems

 State the size of a matrix and identify entries in a specified row and column.
 Form the augmented matrix of a system of equations.
 Recognize inconsistent and dependent systems.
 Model and solve applications using linear systems.
 Solve a system of equations using row operations.

15

Sequences and Series

 Sequences and Series
 Arithmetic Sequences
 Geometric Sequences

 Write out the terms of a sequence given the general term.
 Determine the general term of a sequence.
 Find the partial sum of a series.
 Use summation notation to write and evaluate the series.
 Solve applications using mathematical sequences.
 Find the sum of a geometric series.
 Solve application problems involving geometric sequences and series.

16

Review and Graded Final Exam


