A Custom ALEKS Math Placement Test Prep Course With A Personal Math Teacher

Unit 1: Order of Operations and Evaluation

Order of Operations Evaluation Integers

Unit 2: Simplifying Variable Expressions

Combining Like Terms Distributive Property Distributive / Like Terms

Unit 1: Beginning Equations

One-Step Equations Two-Step Equations

Unit 2: Intermediate Equations

Equations with Fractions Equations Involving Distributive

Unit 3: Advanced Equations

Variable on Both Sides Variable on Both Sides / Fractions Variable on Both Sides / Distributive

Unit 4: Equations with Fractions and Decimals

Integer Solutions Decimal Solutions Fractional Solutions

Unit 5: Formulas

Beginning Formulas Advanced Formulas

Unit 1: Ratios

Introduction to Ratios Equal Ratios Unit Rate

Unit 2: Proportions

Introduction to Proportion Solving Proportions Word Problems

Unit 3: Percents

Understanding Percents Fractions and Percents Decimals and Percents

Unit 4: Percent Applications

Percent Problems Interest

Unit 1: Lines and Angles

Points, Lines, Segments, and Rays Classifying Lines Angles Measuring Angles Complementary and Supplementary Angles

Unit 2: Two-Dimensional Figures

Angles of a Triangle Sides of a Triangle Polygons Quadrilaterals Circles

Unit 3: Three-Dimensional Figures

Classifying 3-Dimensional Figures

Unit 4: Congruence and Similarity

Congruent Figures Similar Figures Problem Solving with Similar Figures Symmetry

Unit 1: Units of Measurement

Customary Unit Conversions Metric Unit Conversions Units of Measurement

Unit 2: Perimeter and Circumference

Perimeter Circumference Word Problems

Unit 3: Area

Area of Squares and Rectangles Area of Triangles Area of Parallelograms and Trapezoids Area of a Circle Word Problems

Unit 4: Surface Area and Volume

Surface Area Volume of Prisms and Pyramids Volume of Cylinders, Spheres, and Cones Word Problems

Unit 1: Modeling Expressions and Equations

Translating English to Algebra

Unit 2: Introductory Word Problems

Number Problems Consecutive Integer Problems Geometry Problems

Unit 3: Advanced Word Problems

Value Problems Interest Problems Mixture Problems Introductory Motion Problems

Unit 1: Inequalities

Solving and Graphing Inequalities Combined Inequalities Advanced Inequality Problems

Unit 2: Absolute Value

Absolute Value Equations Absolute Value Inequalities

Unit 3: Functions

The Coordinate System Domain and Range Definition of a Function Function and Arrow Notation

Unit 4: Graphing

Graphing within a Given Domain Graphing Lines The Intercept Method Graphing Inequalities in Two Variables

Unit 1: Introduction to Transformations

Transformations

Unit 2: Congruence Transformations

Reflections Translations Rotations

Unit 3: Dilations

Dilations

Unit 1: Slope of a Line

Slope as a Rate of Change Using the Graph of a Line to Find Slope Using Slope to Graph a Line Using Coordinates to Find Slope

Unit 2: Slope-Intercept Form

Using Slope-Intercept Form to Graph a Line Converting to Slope-Intercept Form and Graphing Linear Parent Graph and Transformations

Unit 3: Writing Equations of Lines in Slope-Intercept Form

Using Graphs and Slope-Intercept Form Using Tables and Slope-Intercept Form

Unit 4: Equations of Lines: Point-Slope & Standard Form

Standard Form The Point-Slope Formula Given Two Points Parallel and Perpendicular

Unit 5: Applications and Direct Variation

Direct Variation Applications of Direct Variation and Linear Functions

Unit 1: Solving Systems of Equations

By Graphing By Addition By Substitution Advanced Systems

Unit 2: Applications of Systems

Number and Value Problems Wind and Current Problems

Unit 1: Exponent Rules

The Product Rule The Power Rule The Quotient Rule

Unit 2: Advanced Exponent Problems

Numerical Bases and Exponents of Zero Combining Exponent Rules

Unit 3: Multiplying Polynomials

The Distributive Property F.O.I.L. Advanced Problems

Unit 1: Greatest Common Factor

Rules for Finding the G.C.F. Factoring Out the G.C.F.

Unit 2: Factoring Special Polynomials

Special Trinomials with Positive Constant Special Trinomials with Negative Constant Difference of Two Squares

Unit 3: Advanced Trinomial Factoring

Coefficient on x² Term, Positive Constant Coefficient on x² Term, Negative Constant

Unit 4: Factoring by Grouping & Factoring Completely

Basic Technique Factoring Out G.C.F. as First Step

Unit 5: Solving Polynomial Equations

Beginning Equations Intermediate Equations

Unit 1: Beginning Rational Expressions

Simplifying Rational Expressions Multiplying and Dividing Rational Expressions

Unit 2: Advanced Rational Expressions

Adding Rational Expressions Subtracting Rational Expressions

Unit 3: Complex Fractions

Complex Fractions

Unit 4: Rational Equations

Beginning Rational Equations Advanced Rational Equations

Unit 5: Inverse Variation

Inverse Variation

Unit 1: Beginning Radical Expressions

Simplifying Square Roots Multiplying Square Roots Dividing Square Roots Adding and Subtracting Square Roots

Unit 2: Advanced Radical Expressions

Simplifying Radicals Multiplying Radicals Dividing Radicals Advanced Division Addition and FOILing

Unit 3: Radical Equations

Beginning Equations Advanced Equations

Unit 1: Graphing Quadratic Functions

Graphs of Quadratic Functions and Beginning Transformations Graphs of Quadratic Functions and Advanced Transformations Solving Quadratic Equations by Graphing

Unit 2: Completing the Square

Square Rooting Both Sides Beginning Completing The Square Advanced Completing The Square

Unit 3: The Quadratic Formula

Beginning Quadratic Formula Advanced Quadratic Formula Using The Method of Your Choice

Unit 1: Right Triangles and the Pythagorean Theorem

Pythagorean Theorem Pythagorean Triples 30-60-90 and 45-45-90 degree Triangles (Part I)

Unit 2: Right Triangle Trigonometry

Sine, Cosine, and Tangent (Part I) Sine, Cosine, and Tangent (Part II) Word Problems

Unit 1: Imaginary Numbers

Beginning Imaginary Numbers Advanced Imaginary Numbers

Unit 2: Complex Numbers

Beginning Complex Numbers Advanced Complex Numbers

Unit 1: Quadratic Equations

Understanding y – k = a(x – h)² Form Graphing Quadratic Equations in y – k = a(x – h)² Form Writing Quadratic Equations in y – k = a(x – h)² Form

Unit 2: Quadratic Functions

Graphing Quadratic Functions The Sum and Product of Roots Formula Writing Quadratic Functions

Unit 1: Common Graphs and Charts

Pictographs and Line Plots Bar Graphs Line Graphs Circle Graphs

Unit 2: Representing Data

Stem-and-Leaf Plots and Frequency Tables Histograms Scatterplots and Trends

Unit 3: Central Tendency

Range, Median, and Mode Box-and-Whisker Plots Mean Word Problems

Unit 4: Probability

Simple Probability Experimental Probability Probability of Independent Events Probability of Dependent Events

Unit 5: Counting Methods

Tree Diagrams and the Counting Principle Permutations Combinations