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ALGEBRA 1
Jun 17 – Aug 26, every Tue & Thurs @ 6:00-7:00pm ET
$315 for 21 hours or $19 per session
Lesson 1: Numbers, Operations and Expressions (1 hour)
• Rev: Natural, Whole, Integers & Rational #s
• Rev: Exponents, Squares & Roots
• Rev: Irrational Numbers & Real #s
• Rev: Evaluating Expressions
• Properties of Exponents
• Rev: Like Terms
• Ordering Terms
• Simplifying Non-Perfect Square Radicands
• Adding, Subtracting & Multiplying Radicals
• Rationalize the Denominator
Lesson 2: Polynomials (2 hours)
• Definitions of Monomials, Polynomials, and Degrees
• Adding & Subtract Polynomials
• Multiplying a Polynomial by a Monomial
• Multiplying Polynomials
• Special Binomial Products
• Factors and the GCF
• Factoring out GCF’s
• Factoring using Special Patterns
• Factoring x2+bx+c
• Factoring ax2+bx+c
• Factoring 4 Term Polynomials
• Mixed Factoring
Lesson 3: Solving Linear Equations (2 hours)
• Eq w/ Same Variable on Both Sides
• Solving Literal Equations
• Substituting Values into Equation
Lesson 4: Graphing Linear Equations (2 hours)
• Linear Equations
• Graphing a Linear Eq Using Intercepts
• Horizontal & Vertical Lines
• Slope of a Line
• Point-Slope Form
• Slope-Intercept Form
• Working with Linear Equations
• Scatter Plots and Line of Best Fit
Lesson 5: Systems of Linear Equations (2 hours)
• Solving Systems by Graphing
• Solving Systems by Substitution
• Solving Systems by Elimination
• Choosing a Strategy
• Writing Systems to Model Situations
Lesson 6: Solving and Graphing Linear Inequalities (2 hours)
• Simple Inequalities (add/subtraction)
• Simple Inequalities (multi/division)
• Two-Step & Multi-Step
• Compound Inequalities
• Special Cases of Compound Ineq
• Graphing Linear Ineq in Slope-Intercept Form
• Solving Systems of Inequalities
Lesson 7: Solving Absolute Value Equations and Inequalities (1 hour)
• Absolute Value Basics
• Absolute Value Equations
• Multi Step Absolute Value
• Modeling with Absolute Value Equations
• Compound Inequalities
• Absolute Value Inequalities
• Modeling with Absolute Value Inequalities
Lesson 8: Solving Quadratic Equations (2 hours)
• Characteristics of Quadratic Equations
• Graphing Quadratic Equations
• Quadratic Functions vs Equations
• Solve Equations w/ Zero Product Property
• Zeros, Roots, x-intercepts, and solutions
• Solve Quad Equations using Square Roots
• Solve Quad Equations using Completing the Square
• Introduction to the Quadratic Formula
• Polynomials: U-Substitution
• Applications
Lesson 9: Solving Exponential Equations (1 hour)
• Exponential Growth Intro
• Exp Relationship in Equations, Tables & Graphs
• Growth Rates and Growth Factors
• Exponential Decay
• Exponential vs. Linear
• Writing & Solving Model Equations
Lesson 10: Graphing Quadratic & Exponential Functions (1 hour)
Lesson 11: Functions (2 hours)
• Relations and Functions
• Domain and Range
• Evaluating Functions
• Combining Functions & Composite Functions
• Sequences as Functions
• Function Applications
• Functions with a Constant Rate of Change
• Proportional Relationships
Lesson 12: Non-linear Functions (2 hours)
• Graphs of Elementary Functions
• Analyzing Graphs of Functions
• Graphs of Quad Functions in 3 Ways
• Standard Form, Intercept Form & Vertex Form
• Calculating Roots of Quad in Vertex Form
• Transformations of Non-Linear Functions
• Comparing Functions Graphically
Lesson 13: Data and Statistical Analysis (1 hour)
• Measures of Central Tendency
• Central Tendency Applications
• Frequency Tables & Histograms
• Stem and Leaf Plots
• Measures of Dispersion: Box & Whisker
• Review: Two-Way Tables
• Choosing Data Displays
• Misleading Graphs
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