This 8-week program is designed to bridge the fundamental gaps and lay a firm foundation of essentials upon which the student’s Algebra II course will build upon next school year.
Week 1 - Basic Algebra Review
Pre-Algebra
Order of Operations
Evaluating Expressions
Simplifying Algebraic Expressions
Algebra 1
Equations
One, Two, and Multi-Step
Absolute Value
Inequalities
Graphing Linear Equations
Quadratic Equations
Solving Equations
Using Factoring
Using Completing the Square
Using Quadratic Formula
Simplifying Radicals
Week 2 - Rational Expressions
Simplifying expressions
Multiplication and division of rational expressions
Addition and subtraction of rational expressions
Complex fractions
Solving rational equations
Week 3 - Operations with Polynomials
Multiplication and division of polynomials
Long division
Synthetic division
Evaluating polynomial functions
Remainder Theorem
Intermediate value theorem
Zeros of polynomials
Multiplicity
Week 4 - Operations with Radicals and Complex Numbers
Addition and subtraction of radical expressions
Multiplication and division of radical expressions
Simplifying radicals with complex solutions
Addition and subtraction of complex numbers
Multiplication and division of complex numbers
Week 5 - Transformation of Functions including Domain and Range
Graphing Quadratic Functions
Vertex form
Standard form
Intercept form
Graphing Polynomial Functions
End behavior
Graphing Radical Functions
Vertex form
Week 6 - Graphing Rational Functions including Domain and Range
Asymptotes
Intercepts
Holes
Week 7- Exponential Functions
Exponential Growth and Decay
Compounding Interest
Exponential Word Problems
Exponential Equations
Graphing Exponential Functions
Domain and Range
Asymptotes
Inverse of Exponential Functions
Week 8 - Logarithmic Functions
Graphing Logarithmic Functions
Domain and Range
Asymptotes
Simplifying Logs
With and without a calculator
Properties of Logs
Solving logarithmic equations
Word problems using logs
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