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Algebra I Course

PROGRESSIVE MATHEMATICS INITIATIVE® (PMI®)

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Mary O'Sullivan - Egg Harbor City, NJ
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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
    Simplifying Non-Perfect Sq Radicands
    Add, Subtract & Multiply Radicals
    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 (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
  • 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
  • Mid Year Assessment Algebra I
  • 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
    Add & Sub Polynomials
    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
  • Quadratic Equations
    Characteristics of Quadratic Eq
    Graphing Quadratic Eq
    Quadratic Functions vs Equations
    Solve Eq w/ Zero Product Property
    Zeros, Roots, x-intercepts, and solutions
    Solve Quad Eq: Square Roots
    Solve Quad Eq: Completing the Sq
    Intro to Quadratic Formula
    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
    Misleading Graphs
  • End of Year Assessment - Algebra I

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