| 1 |
Pre-algebra Review |
- Classifying Numbers
- Fractions
- Operations with Fractions
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- Classify numbers as natural, whole, integer.
- Define rational and irrational numbers.
- Write an integer as a fraction.
- Find the prime factorization for a number.
- Find the GCF for two or more numbers.
- Find the LCM for two or more numbers.
- Reduce Fractions to lowest terms.
- Add and subtract fractions.
- Multiply fractions.
- Divide fractions.
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| 2 |
The Real Numbers |
- Decimals and Percents
- Real Numbers and Number Line
- Orders on Real Numbers
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- Write a decimal in expanded form.
- Write a decimal as a fraction.
- Write a fraction as a decimal.
- Add, subtract, multiply, and divide decimals.
- Convert decimals to percents and percents to decimals.
- Convert fractions to percents and percents to fractions.
- Identify real numbers.
- Represent integers and real numbers on the number line.
- Find the absolute value of a number.
- Represent intervals on the number line.
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| 3 |
Operations with Real Numbers |
- Operations with Real Numbers
- Exponential Expressions
- Order of Operations
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- Add two real numbers.
- Subtract one real number from another.
- Add and subtract several real numbers.
- Multiply two real numbers.
- Divide one real number by another.
- Evaluate expressions with exponents.
- Evaluate expressions using the correct order of operations.
- Evaluate expressions with more than one grouping symbol.
- Solve applications.
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| 4 |
Properties of Real Numbers |
- Algebraic Expressions
- Properties of Real Numbers
- OSimplifying Expressions
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- Identify algebraic expressions.
- Translate verbal expressions to algebraic expressions.
- Translate algebraic expressions to verbal expressions.
- Evaluate algebraic expressions.
- Determine whether a given number satisfies an algebraic equation.
- Identify properties of real numbers.
- Find the additive and/or subtractive inverse of a real number.
- Add, subtract and combine like terms.
- Use the properties of real numbers to simplify expressions.
- Solve applications.
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| 5 |
Solving Linear Equations in One Variable |
- The Addition and Multiplication Properties of Equality
- Solving Linear Equations
- Solving Literal Equations (Formulae)
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- Determine whether a number satisfies an equation.
- Use the addition and subtraction properties of equality to solve equations.
- Use the multiplication and division properties of equality to solve equations.
- Multiply by reciprocals to solve equations.
- Multiply by least common multiples to solve equations.
- Solving applications involving percents.
- Solve linear equations by using all properties of equality and the rules.
- Use a formula to solve an application.
- Translate verbal expressions into algebraic expressions in more detail.
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| 6 |
Applications of Linear Equations and Linear Inequalities in One Variable |
- Applications of Linear Equations
- Solving Linear Inequalities
- Applications of Linear Inequalities
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- Solve word problems using linear equations.
- Solve applications involving numbers and mixture problems.
- Determine which of two numbers is greater.
- Use the notation of inequalities.
- Solve and graph linear inequalities.
- Use the addition and subtraction properties of inequalities.
- Use the multiplication and division properties of inequalities with positive numbers.
- Use the multiplication and division properties of inequalities with negative numbers.
- Write, solve, and graph compound inequalities.
- Solve an application using inequalities.
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| 7 |
Linear Equations in Two Variables |
- Solutions of Equations in Two Variables
- Graphing Lines in the Coordinate Plane
- Slope of a Line
- Three Forms for the Equation of a Line
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- Find solutions of equations in two variables.
- Graph ordered pairs of numbers.
- Determine the coordinates of a point in the plane.
- Graph a linear equation.
- Graph a line using intercepts.
- Solve applications involving linear equations.
- Find the slope of a line given two points.
- Find the slope of a line given the equation of the line.
- Determine whether two lines are parallel, perpendicular, or neither.
- Write the equation of a line in three forms.
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| 8 |
Polynomials |
- Exponents and Polynomials
- Addition and Subtraction of Polynomials
- Multiplication of Polynomials
- Division of Polynomials
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- Use properties of exponents.
- Classify polynomials.
- Find the degree of a polynomial.
- Add and subtract polynomials.
- Multiply a binomial by a binomial.
- Multiply any two polynomials.
- Find the product of two binomials that differ only by the sign between terms.
- Divide a polynomial by a monomial.
- Divide a polynomial by a binomial.
- Divide one polynomial by another polynomial.
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| 8 |
Polynomials |
- Exponents and Polynomials
- Addition and Subtraction of Polynomials
- Multiplication of Polynomials
- Division of Polynomials
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- Use properties of exponents.
- Classify polynomials.
- Find the degree of a polynomial.
- Add and subtract polynomials.
- Multiply a binomial by a binomial.
- Multiply any two polynomials.
- Find the product of two binomials that differ only by the sign between terms.
- Divide a polynomial by a monomial.
- Divide a polynomial by a binomial.
- Divide one polynomial by another polynomial.
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| 8 |
Polynomials |
- Exponents and Polynomials
- Addition and Subtraction of Polynomials
- Multiplication of Polynomials
- Division of Polynomials
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- Use properties of exponents.
- Classify polynomials.
- Find the degree of a polynomial.
- Add and subtract polynomials.
- Multiply a binomial by a binomial.
- Multiply any two polynomials.
- Find the product of two binomials that differ only by the sign between terms.
- Divide a polynomial by a monomial.
- Divide a polynomial by a binomial.
- Divide one polynomial by another polynomial.
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| 9 |
Factoring |
- The Greatest Common Factor and the Factorization of Polynomials
- Factoring ax^2+bx+c
- Factoring Strategy
- Solving Quadratic Equations by Factoring and Applications
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- Find the greatest common factor of numbers and terms.
- Write polynomials in factored form.
- Factor by grouping. Factor trinomials.
- Factor a polynomial by using a trial and error process.
- Factor squares of binomials.
- Use "ac method" to factor.
- Factor the sum or difference of two cubes.
- Factor a polynomial by using general factoring strategy.
- Solve quadratic equations by factoring.
- Solve applications of quadratic equations.
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| 10 |
Rational Expressions |
- Working with Rational Expressions-I
- Working with Rational Expressions- II
- Solving Equations with Rational Expressions
- Applications
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- Determine the values that make a rational expression undefined.
- Simplify a rational expression to lowest terms.
- Multiply two rational expressions.
- Divide one rational expression by another.
- Add and subtract rational expressions.
- Use cross-multiplying to solve equations.
- Solve equations involving rational expressions.
- Solve applications with ratios and proportions.
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| 11 |
Powers and Roots |
- Roots and Radicals
- Operations with Rational Exponents and Radicals
- Solving Equations with Radicals and Exponents
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- Square roots, cube roots and nth roots of numbers.
- Find principal roots of numbers.
- Recognize and write a root using the radical notation.
- Evaluate radicals.
- Find the conjugate of a sum or difference of radicals.
- Simplify radicals using properties of radicals.
- Find the approximate value of radicals using a graphing calculator.
- Write radicals as a rational exponent and rational exponents as a radical.
- Evaluate and simplify rational exponents.
- Solve equations involving radicals and rational exponents.
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| 12 |
Quadratic Equations |
- Using the Square Root Property and Factoring
- Completing the Square
- The Quadratic Formula
- Applications
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- Solve quadratic equations by square root property.
- Solve quadratic equations by factoring.
- Complete the square for a trinomial expression.
- Solve quadratic equations by completing the square.
- Write quadratic equations in standard form.
- Solve quadratic equations by the quadratic formula.
- Use the Pythagorean Theorem to solve right triangle.
- Solve word problems involving quadratic equations.
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| 13 |
Systems of Linear Equations |
- The Graphing Method
- The Substitution Method
- The Addition (Elimination) Method
- Applications
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- Solve a system of two equations in two variables by graphing.
- Solve a system of two equations in two variables by adding.
- Solve a system of two equations in two variables by substitution.
- Determine whether a system of equations is consistent, inconsistent, or dependent.
- Solve applications involving coin, general, motion, and investment problems.
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| 14 |
Functions and Interpreting Graphs |
- Introduction to Functions
- Applications of Functions
- Interpreting Graphs
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- Find domain and ranges.
- Determine whether a relation is a function.
- Use function notation.
- Solve an application.
- Add, subtract, multiply, and divide functions.
- Read and interpret graphs.
- Solve applications involving graphs.
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| 15 |
Course Review |
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- Review of the course topics.
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