Chapter 1: Whole Numbers
Naming numbers
Rounding numbers
Addition of whole numbers
Subtraction of whole numbers
Multiplication of whole numbers
Division of whole numbers
Word problems
Quiz
Chapter 2: Integers
Basic concepts
Order
Addition of integers
Subtraction of integers
Addition and subtraction
Multiplication of integers
Division of integers
Exponents
Order of operations
Quiz
Chapter 3: Fractions: Part 1
Basic concepts
Reducing fractions
Changing fractions to higher terms
Changing improper fractions to mixed numbers
Changing mixed numbers to improper fractions
Quiz
Chapter 4: Fractions: Part 2
Finding common denominators
Addition of fractions
Addition of mixed numbers
Subtraction of fractions
Subtraction of mixed numbers
Principles of borrowing
Multiplication of fractions
Multiplication of mixed numbers
Division of fractions
Division of mixed numbers
Word problems
Comparing fractions
Operations with positive and negative fractions
Quiz
Chapter 5: Decimals
Naming decimals
Rounding decimals
Addition of decimals
Subtraction of decimals
Multiplication of decimals
Division of decimals
Comparing decimals
Word problems
Changing fractions to decimals
Changing decimals to fractions
Fractions and decimals
Operations with positive and negative decimals
Quiz
Chapter 6: Percent
Basic concepts
Changing percents to decimals
Changing decimals to percents
Changing fractions to percents
Changing percents to fractions
Three types of percent problems
Word problems
Quiz
Chapter 7: Expressions And Equations
Basic concepts
Evaluating algebraic expressions
Distributive property
Combining like terms
Removing parentheses and combining like terms
Formulas
Solving simple equations
Solving equations using two principles
Solving more difficult equations
Algebraic representation of statements
Word problems
Solving percent problems using equations
Quiz
Chapter 8: Ratio And Proportion
Ratio
Proportion
Word problems
Solving percent problems using proportions
Quiz
Chapter 9: Informal Geometry
Geometric figures
Perimeter
Area
Volume
Word problems
Square roots
Pythagorean theorem
Quiz
Chapter 10: Measurement
Basic concepts
Measures of length
Measures of weight
Measures of capacity
Measure of time
Word problems
Quiz
Chapter 11: Graphing
Rectangular coordinate plane
Plotting points
Linear equations
Graphing lines
Horizontal and vertical lines
Intercepts
Slope
Solving a system of linear equations
Quiz
Chapter 12: Operations with monomials and polynomials
Monomials and polynomials
Addition of polynomials
Subtraction of polynomials
Multiplication of monomials
Raising a monomial to a power
Multiplication of a polynomial by a monomial
Multiplication of two binomials
Squaring a binomial
Multiplication of two polynomials
Division of monomials
Division of a polynomial by a monomial
Quiz
Final exam
Answers to quizzes and final exam
Appendix: Overcoming math anxiety