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High School
Math Topics: Algebra
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This algebra course provides a series of math topics for students to select from based on their needs. It can be used for math acceleration, remediation or to supplement existing curriculum. Each topic begins with a pre-assessment from which a personal learning path is developed for the student. Based on the pre-assessment, the learning path includes refreshers on concepts students may have forgotten and lessons on concepts the student has not yet mastered. The learning path does not require students to complete lessons on concepts the student has mastered. Completion time varies per student.
Note: This offering does not replace a required algebra course.
Major Topics and Concepts
- Real Numbers
- Solving Equations and Inequalities
- Exponents and Polynomials
- Factoring
- Graphing
- Systems of Equations and Inequalities
Course Materials
Competencies
Algebra: Exponents and Polynomials
Students will demonstrate an understanding of exponents by solving problems with integer exponents; simplifying exponential expressions using properties of exponents; and working with scientific notation. Students will also demonstrate an understanding of polynomials by using polynomial terminology; simplifying and evaluating polynomials; performing operations involving multiple polynomials with one or multiple variables; and evaluating polynomials.
Algebra: Factoring
Students will demonstrate an understanding of factoring by factoring polynomials using greatest common factors and grouping; factoring trinomials of all types; factoring special case cubics using sum and difference formulas; and solving equations using factoring and the quadratic formula.
Algebra: Graphing Linear Equations and Inequalities
Students will demonstrate an understanding of graphing linear equations and inequalities by finding the slop of a line graphically and through calculations; writing the equation of a line given various types of information; determining if lines are parallel and perpendicular based on slopes; and graphing linear equations and inequalities.
Algebra: Real Numbers
Students will demonstrate an understanding of real numbers by evaluating expressions with multiple variables; defining, performing operations and solving problems with integers; defining, performing operations and solving problems with real numbers; identifying irrational numbers; identifying and using the commutative, associative and distributive properties; and solving problems using order of operations.
Algebra: Solving Equations and Inequalities
Students will demonstrate an understanding of how to work with equations and inequalities by solving one and multi-step equations; solving equations that have one solution, no solution or an infinite number of solutions; evaluating and manipulating formulas; solving one and multi-step inequalities; solving compound inequalities; and solving equations and inequalities involving absolute values.
Algebra: Systems of Equations and Inequalities
Students will demonstrate an understanding of systems of equations and inequalities by solving systems of equations and inequalities graphically and through calculations (substitution an elimination); solving problems involving systems of both equalities and inequalities; and solving systems of equations involving three variables by calculation.
