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Lesotho Algebra II Course

PROGRESSIVE SCIENCE INITIATIVE® (PSI®) - PROGRESSIVE MATHEMATICS INITIATIVE® (PMI®)

Units (select a unit)

  • Overview of Functions
    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
  • Linear & Absolute Value Functions
    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
  • Quadratic Equations & Complex Numbers
    Solving Quadratic Equations
    Solving Quad. Eq w/ Quad. Formula
    Solving Application Problems
    Imaginary Numbers
    Complex Numbers
    Solving Quad. Eq w/ Complex Ans
  • Quadratic Functions
    Graph of Quadratic Functions
    - Standard Form
    - Intercept Form
    - Vertex Form
    Transformations
    Average Rate of Change
    Modeling w/ Quadratics
  • Polynomial Functions
    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
  • Rational Functions
    Joint & Inverse Variation
    Simplifying Rational Expressions
    Multiplying & Dividing Rational Expressions
    Adding & Subtracting Rational Expressions
    Solving Rational Equations
    Graphing Reciprocal Function & Transformations
    Graphing General Functions
  • Radical Functions & Rational Exponents
    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
  • Exponential and Logarithmic Functions
    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 Eq w/ Logs & Exp
    Logarithmic Functions
  • Trigonometry
    Law of Sines
    Law of Cosines
    Area of Triangles
    Solving Triangles with Bearings
  • Probability & Statistics
    Sets
    Independence & Conditional Probability
    Fundamental Counting Principle
    Two-Way Frequency Tables
  • Vectors
    Introduction to Vectors, Magnitude & Direction
    Vector Operations
  • Matrices
    Introduction to Matrices
    Scalar Multiplication
    Matrix Addition & Subtraction
    Matrix Multiplication
    Determinant of 2x2 Matrices
    Finding the Inverse of 2x2 Matrices
    Solving Systems of Equations Using Matrices
  • Sequences
    Arithmetic Sequences
    Quadratic & Cubic Sequences
    Geometric Sequences
    Special Sequences

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