Course+Outline


 * UNIT 1 - Linear Sentences in One Variable**
 * One equation for one unknown
 * Formulas
 * Equalities/inequalities
 * compound
 * Absolute value inequalities

=UNIT 2 - Linear Equations in Two Variables=
 * Two equations for two variables
 * Rate of change
 * What is m, b
 * Build equations with notion of m, b
 * Plot points
 * what is significance of coordinates
 * Forms of linear equations - what is their significance?
 * Introduce a system word problem
 * uncover the students' natural methods of solving for the unknown variables
 * graph the same problem
 * what do they uncover?
 * Introduce a linear programming problem
 * let the students explore methods of solving
 * what do the corner points mean?
 * Introduce matrices
 * matrix arithmetic
 * multiplying
 * solving
 * inverse matrices
 * Introduce 3x3 and 4x4
 * ( honors level) make up a 4x4 word problem
 * ( honors level) make up a 4x4 word problem

=UNIT 3 - Polynomial Expressions=
 * Polynomial Arithmetic
 * Multiply/factor
 * methods of factoring
 * Divide
 * rational expressions
 * rational expressions

=UNIT 4 - Rational Expressions=
 * Simplifying
 * Rational arithmetic
 * multiply
 * divide
 * Solving rational equations
 * Solving rational equations

=UNIT 5 - Relations & Functions=
 * Relations (no pattern)
 * Functions (pattern)
 * Domain
 * Range
 * Function Notation
 * Function Composition
 * Function arithmetic
 * Inverse functions

=UNIT 6 - Polynomial Functions=
 * Remainder Theorem
 * Factor Theorem
 * Zeros of a function
 * Rational Zero Theorem
 * Graphing

=UNIT 7 - Radicals & Complex Numbers=
 * Simplifying
 * Radical arithmetic
 * multiply
 * divide
 * rationalizing
 * conjugates
 * Rational exponents
 * Complex Numbers
 * Complex Numbers

=UNIT 8 - Quadratics=
 * Quadratic Equations in One Variable
 * Solving Quadratics
 * factoring
 * square root property
 * completing the square
 * Quadratic Formula
 * Radical equations
 * Quadratic inequalities
 * Quadratic Equations in Two Variables
 * applications
 * solving

=UNIT 9 - Exponential & Logarithmic Functions=
 * Exponential functions
 * Logarithmic Functions
 * Properties of logs
 * Exponential & logarithmic equations