Pre-Algebra 8
Book: Pre-Algebra (Holt Publishing)
Website: http://go.hrw.com
This course will help you:
Ø Learn all the important middle grades mathematics concepts and skills that prepare you for high school and beyond.
Ø Develop the reasoning, problem solving, and communication skills that enable you to apply mathematics to real-life activities.
Ø Value mathematics and become confident in using it to make decisions in daily life.
Chapter 1: Algebra Toolbox
Variables and Expressions, Writing Algebraic Expressions, Solving Equations with Addition, Subtraction, Multiplying, or Dividing, Solving Simple Inequalities, Combining Like Terms, Ordered Pairs, Graphing, Interpreting Graphs and Tables.
Chapter 2: Integers and Exponents
Adding, Subtracting, Multiplying, and Dividing Integers, Solving Equations and Inequalities Containing Integers, Properties of Exponents, Scientific Notation.
Chapter 3: Rational and Real Numbers
Adding, Subtracting, Multiplying, and Dividing Rational Numbers, Unlike Denominators, Solving Equations and Inequalities with Rational Numbers, Squares and Square Roots, Real Numbers.
Chapter 4: Collecting, Displaying, and Analyzing Data
Samples and Surveys, Organizing Data, Measures of Central Tendency, Variability, Displaying Data, Scatter Plots, Misleading Graphs and Statistics.
Chapter 5: Plane Geometry
Points, Lines, Planes, and Angles, Parallel and Perpendicular, Triangles, Polygons, Coordinate Geometry, Congruence, Transformations, Symmetry, Tessellations.
Chapter 6: Perimeter, Area, and Volume
Perimeter, Area, Surface Area and Volume of Rectangles, Parallelograms, Triangles, Trapezoids, Prisms, Cylinders, Cones, and Spheres, Exploring Circles and Right Triangles, Pythagorean Theorem.
Chapter 7: Ratios and Similarity
Ratios, Rates, Unit Rates, and Proportions, Solving Proportions, Dilations, Similar Figures, Scale Drawings and Models.
Chapter 8: Percents
Relating Decimals, Fractions, and Percents, Circle Graphs, Percent Increase and Decrease, Estimating with Percents, Applications of Percents.
Chapter 9: Probability
Experimental and Theoretical Probability, Counting Principle, Permutations and Combinations, Odds, Independent and Dependent Events.
Chapter 10: More Equations and Inequalities
Solving Multi-step Equations with Variables, Solving Multi-step Inequalities, Systems of Equations.
Chapter 11: Graphing Lines
Graphing Linear Equations, Slopes and Intercepts, Point-Slope Form, Direct Variation, Lines of Best Fit, Graphing Inequalities.
Chapter 12: Sequences and Functions
Arithmetic and Geometric Sequences, Linear, Exponential and Quadratic Functions, Inverse Variation.
Chapter 13: Polynomials
Adding, Subtracting and Multiplying Polynomials, Simplifying Polynomials.
Chapter 14: Set Theory and Discrete Math
Sets, Intersection and Union, Venn Diagram, Compound Statements, Deductive Reasoning, Networks and Euler Circuits, Hamiltonian Circuits.
Algebra 8
Book: Algebra 1 (Prentice Hall Publishing)
Website: http://www.PHSchool.com
This course is a comprehensive program from middle school to high school algebra and geometry. This program gives every student the opportunity to excel.
Chapter 1: Tools of Algebra
Using Variables, Exponents and Order of Operations, Exploring Real Numbers, Adding, Subtracting, Multiplying, and Dividing Real Numbers, Distributive Property, Properties of Real Numbers, Graphing Data.
Chapter 2: Solving Equations
Solving One-, Two-, and Multi-Step Equations, Equations with Variables on Both Sides, Problem Solving with Equations, Formulas, Using Measures of Central Tendency.
Chapter 3: Solving Inequalities
Inequalities and Their Graphs, Solving Inequalities using Addition, Subtraction, Multiplying, and Dividing, Solving Multi-Step Inequalities, Compound Inequalities, Absolute Value Equations and Inequalities.
Chapter 4: Solving and Applying Proportions
Ratio and Proportion, Proportions and Similar Figures, Proportions and Percent Equations, Percent of Change, Applying Ratios to Probability, Probability of Compound Events.
Chapter 5: Graphs and Functions
Relating Graphs to Events, Relations and Functions, Function Rules, Tables, and Graphs, Writing a Function Rule, Direct Variation, Describing Number Patterns.
Chapter 6: Linear Equations and Their Graphs
Rate of Change and Slope, Slope-Intercept Form, Standard Form, Point-Slope Form and Writing Linear Equations, Parallel and Perpendicular Lines, Scatter Plots and Equations of Lines, Graphing Absolute Value Equations.
Chapter 7: Systems of Equations and Inequalities
Solving Systems by Graphing, Solving Systems Using Substitution, Solving Systems Using Elimination, Applications of Linear Systems, Linear Inequalities, Systems of Linear Inequalities.
Chapter 8: Exponents and Exponential Functions
Zero and Negative Exponents, Scientific Notation, Multiplication Properties of Exponents, Division Properties of Exponents, Geometric Sequences, Exponential Functions, Exponential Growth and Decay.
Chapter 9: Polynomials and Factoring
Adding, Subtracting, Multiplying and Factoring Polynomials, Multiplying Binomials, Multiplying Special Cases, Factoring Trinomials of the Type x2 + bx + c, Factoring Trinomials of the Type ax2 + bx + c, Factoring Special Cases, Factoring by Grouping.
Chapter 10: Quadratic Equations and Functions
Exploring Quadratic Graphs, Quadratic Functions, Finding and Estimating Square Roots, Solving Quadratic Equations, Factoring to Solve Quadratic Equations, Completing the Square, Using the Quadratic Formula, Using the Discriminant, Choosing a Model.
Chapter 11: Radical Expressions and Equations
Simplifying Radicals, Pythagorean Theorem, Distance and Midpoint Formulas, Operations with Radical Expressions, Solving Radical Equations, Graphing Square Root Functions, Trigonometric Ratios.
Chapter 12: Rational Expressions and Functions
Inverse Variation, Graphing Rational Functions, Simplifying Rational Expressions, Multiplying and Dividing Rational Expressions, Dividing Polynomials, Adding and Subtracting Rational Expressions, Solving Rational Equations, Counting Methods and Permutations, Combinations.