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Algebra I Course

PROGRESSIVE MATHEMATICS INITIATIVE® (PMI®)

Units (select a unit)

  • Numbers, Operations and Expressions
    Rev: Properties of Exponents
    Simplifying Non-Perfect Square Radicands
    Adding, Subtracting & Multiplying Radicals
    Rationalizing the Denominator
  • Polynomials
    Monomials, Polynomials, Degrees, and Ordering Terms.
    Adding and Subtracting Polynomials
    Multiplying a Polynomial by a Polynomial
    Special Binomial Products
    Factors, The Greatest Common Factor, and Factoring
    Factoring Binomials and Special Patterns
    Factoring Trinomials
  • Solving Linear Equations
    Equations
    Multi-Step Equations
    Writing and Solving Algebraic Equations
    Problems Solving with Algebraic Equations
    Equations with the Same Variable on Both Sides
    Solving Literal Equations
    Substituting Values into an Equation
    Application Problems
  • Graphing Linear Equations
    Graphing & Linear Equations
    Graphing a Linear Eq Using Intercepts
    Slope & Steepness
    Proportional Relationships
    Slope-Intercept Form
    Point-Slope Form
    Horizontal & Vertical Lines
    Working with Linear Equations
  • Systems of Linear Equations
    Solving Systems by Graphing
    Graphing with Slope-Intercept Form
    Solving Systems by Substitution
    Solving Systems by Elimination
    Writing and Solving Systems to Model Situations
    Solving Systems with a Graphing Calculator
  • Quantitative Reasoning
    Levels of Accuracy & Appropriate Units of Measurement
    Converting Units of Measurement
    Systems of Equations with Different Units of Measurement
    Scaling the Coordinate Plane
    Two Variable Data
    Line of Best Fit and the Prediction Equation
  • Solving and Graphing Linear Inequalities
    Pres 1:
    Simple Inequalities
    Addition and Subtraction
    Multiplication and Division
    Multiplication and Division by Negative Numbers
    Multi-Step Inequalities
    Inequality Application Problems

    Pres 2:
    Create Compound Ineq
    Solve Compound Ineq
    Special Cases
    Graph Lin Ineq
    Solve Systems
    Model
  • Solving Absolute Value Equations and Inequalities
    Absolute Value
    Solving and Graphing Absolute Value Equations
    Solving and Graphing Absolute Value Inequalities
    Multi-step Equations and Inequalities
    Modeling with Absolute Value Equations and Inequalities
  • Solving Quadratic Equations
    Standard Form of Quadratic Equations
    Factoring, Zero Product Property, and Substitution Property
    Square Root Method
    Completing the Square
    Quadratic Formula
    Application Problems
  • Solving Exponential Equations
    Exponential Relationships
    Exp Relationship in Tables
    Rates v Factors
    Writing & Solving Model Equations
  • Graphing Quadratic & Exponential Equations
    Characteristics of Quadratic Graphs
    Graphing Quadratics with Tables
    Graphing Quadratics with Characteristics
    Graphing Quadratics with Solutions
    Exponential Graphs
    Average Rate of Change
  • Functions
    Functions
    Domain and Range
    Other Descriptions of Discrete Functions
    Evaluating Functions
    Solving for Input
    Constant Rate of Change
    Arithmetic Sequences as Functions
    Function Applications
  • Non-linear Functions
    Analyzing Graphs of Non-Linear Functions
    Graphs of Elementary Functions
    Translating Functions
    Reflections
    Stretch & Shrinking
    Comparing Functions Graphically
  • Data and Statistical Analysis
    Measures of Data
    Central Tendency Application Problems
    Two-Way Tables
    Frequency Tables and Histograms
    Stem and Leaf Plots
    Measures of Dispersion: Box and Whisker Plots
  • End of Year Assessment - Algebra I

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