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## Algebra I Course

PROGRESSIVE MATHEMATICS INITIATIVE® (PMI®)

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## Units (select a unit)

• ###### Numbers, Operations and Expressions Algebra 1
Rev: Natural, Whole, Integers & Rational #s
Rev: Exponents, Sq & Roots
Rev: Irrational Numbers & Real #s
Rev: Evaluating Expressions
Properties of Exponents
Rev: Like Terms
Ordering Terms
Rationalize the Denominator
• ###### Equations Algebra I
Eq w/ Same Variable on Both Sides
Solving Literal Equations
Substituting Values into Equation
• ###### Graphing Linear Equations
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
• ###### Systems of Linear Equations
Solving Systems by Graphing
Solving Systems by Substitution
Solving Systems by Elimination
Choosing a Strategy
Writing Systems to Model Situations
• ###### Solving and Graphing Linear Inequalities
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
• ###### Solving Absolute Value Equations and Inequalities
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
• ###### Quantitative Reasoning
Significant Digits
Accuracy & Appropriate Units of Measurement
Converting Units of Measurement
Creating Accurate Graphs
Systems of Equations with Different Units of Measurement
• ###### Functions
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
• ###### Exponential Functions
Exponential Growth Intro
Exp Relationship in Equations, Tables & Graphs
Growth Rates and Growth Factors
Exponential Decay
Exponential vs. Linear
Writing & Solving Model Equations
• ###### Polynomials
Definitions of Monomial, Polynomial, and Degrees
Multiply a Polynomial by a Monomial
Multiply Polynomials
Special Binomial Products
Factors and the GCF
Factor out GCF’s
Factor using Special Patterns
Factor x^2+bx+c
Factor ax^2+bx+c
Factor 4 Term Polys
Mixed Factoring
Solve Eq w/ Zero Product Property
Zeros, Roots, x-intercepts, and solutions
Solve Quad Eq: Completing the Sq
Polynomials: U-Substitution
Applications
• ###### Non-linear Functions
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
• ###### Data and Statistical Analysis
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