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ALGEBRA 2
Jun 17 – Aug 19, every Tue & Thurs @ 7:00-8:00pm ET
$285 for 19 hours or $19 per session
Lesson 1: Overview of Functions (2 hours)
• Function Basics
• Domain and Range
• Operations with Functions
• Composite Functions
• Piecewise Functions
• Parent Functions
• Transformations of Functions
• Symmetry of Functions
• Intro to Inverse Functions
• Applications of Inverse Functions
Lesson 2: Linear and Absolute Vaue Functions (1 hour)
• Linear Function Review
• Systems of Linear Equations
• Solving Systems of Equations in 3 Variables
• One Variable Inequalities
• Two Variable Inequalities
• Absolute Value Eq & Ineq
• Absolute Value Functions
• Transformations w/ Abs Value Functions
Lesson 3: Quadratic Equations and Complex Numbers (1 hour)
• Solving Quadratic Equations
• Solving Quad. Eq w/ Quad. Formula
• Solving Application Problems
• Imaginary Numbers
• Complex Numbers
• Solving Quad. Eq w/ Complex Ans
Lesson 4: Quadratic Equations (2 hours)
• Graph of Quadratic Functions
- Standard Form
- Intercept Form
-Vertex Form
• Transformations
• Average Rate of Change
• Modeling w/ Quadratics
Lesson 5: Polynomial Functions (2 hours)
• Operations w/ Polynomials Review
• Dividing Polynomials by a Polynomial
• Remainder Th & Factor Th
• Finding Zeros of Polynomials
• Analyzing Graphs & Tables of Polynomials
• Even & Odd Polynomial Functions
• Multiplicity, Zeros & Graph
• Writing a Polynomial from Its Zeros
• Modeling w/ Polynomials
Lesson 6: Rational Functions (2 hours)
• Joint and Inverse Variation
• Simplifying Rational Expressions
• Multiplying and Dividing Rational Expressions
• Adding and Subtracting Rational Expressions
• Solving Rational Equations
• Graphing the Reciprocal Function and its Transformations
• Graphing General Rational Functions
Lesson 7: Radical Functions and Rational Exponents (2 hours)
• Working with Square Roots
• Irrational Roots
• Adding and Subtracting Radicals
• Multiplying Radicals
• Rationalizing the Denominator
• Cube Roots
• nth Roots
• Rational Exponents
• Solving Radical Equations
• Graphing Square Root Functions
Lesson 8: Exponential and Logarithmic Functions (2 hours)
• Exponents w/ Multiple Terms
• Rewriting Exponentials as Like Terms
• Exponential Functions
• Simple & Compound Interest
• The constant e
• Population Growth
• Half-Lives & Decay Applications
• Intro to Logarithms
• Solving Equations with Logarithms & Exponents
• Logarithmic Functions
Lesson 9: Sequences and Series (1 hour)
• Arithmetic Sequences
• Geometries Sequences
• Special Sequences and Functions
• Arithmetic and Geometric Series
Lesson 10: Trigonometric Functions (2 hours)
• Angle and Radian Measures
• Right Triangle Trigonometry
• The Unit Circle
• The Sine Function
• The Cosine Function
• Transformations of Sine and Cosine
• Modelling with Sine and Cosine
Lesson 11: Probability and Statistics (2 hours)
• Sets
• Independence & Conditional Probability
• Permutations & Combinations
• Standard Deviation
• Normal Distribution
• Two-Way Frequency Tables
• Sampling & Experiments
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