Topical Outline with Specific Course Objectives
- Review
- Demonstrate an ability to factor algebraic expressions into primes using techniques of removing common factors, and factoring the difference of squares and trinomials.
- Use the properties of inequalities and equivalent inequalities to solve linear inequalities in one variable and express the solutions graphically or in interval notation.
- Rational Expressions and Equations
- Evaluate rational expressions, and use prime factorization to reduce simple rational expressions (decreased emphasis).
- Use the properties of equalities and equivalent equalities to solve rational equations; apply to word problems involving ratios and proportions.
- Radicals and Rational Exponents
- Demonstrate the relationship between exponents and radicals.
- Use the properties of radicals to simplify simple radicals.
- Use the properties of equality to solve equations involving one radical expression.
- Quadratic Equations
- Recognize a quadratic equation; choose and apply the most efficient method to solve it.
- Apply skills to word problems involving quadratic equations.
- Linear Equations and Inequalities in Two Variables
- Use tables and graphs as tools to interpret expressions, equations, and inequalities.
- Locate the x and y intercepts graphically and algebraically and interpret them in the context of the problem.
- Explain and determine the slope of a line as the ratio of change in the dependent variable with respect to change in the independent variable.
- Systems of Linear Equations and Inequalities and their Graphs
- Connect the solution set of a system of two linear equations in two variables with the graphs of the two equations.
- Connect the solution set of a system of two linear inequalities in two variables with the graphs of the two inequalities.
- Introduction to Functions
- Recognize functions in table, graph, equation or verbal form.
- Understand that for a function one input value results in one output value.
- Determine the acceptability of a value to be used for the independent variable in an equation that defines a function.
- Determine the domain and range of a relation from a graph.
- Use and understand functional notation.
- Linear Functions and Their Applications
- Express linear and quadratic functions in table, graph, equation, or verbal form.
- Make connections between the parameters of a function and the behavior of the function.
- Recognize that a variety of problem situations can be modeled by the same type of function.
- Use patterns and functions to represent and solve problems.
- Extract and interpret information presented in a graph.
Department Policies
- Graphing Calculator Required
- Comprehensive Common Final