• Algebraic Reasoning Course Outline

     

    • Each unit will consist of 2 tests and 2 quizzes as checkpoints
    • To concurrently prepare students that will retake the STAAR exam in the fall, the course units will be delivered in the following order:

    Semester 1 (August 8 – December 20)

    Term 1 (Aug 8 – Oct 9)

    Unit 1: Algebraic Patterns – connect finite differences or common rations to functions

    1. Establishing a Positive Math Community
    2. Sequences
    3. Patterns and Linear, Exponential, Quadratic & Cubic Functions

    Unit 2: Analyzing Functions – explore transformations & identify key features

    1. Transformations of Functions
    2. Compare Key Features of Sets of Functions

    Term 2 (Oct 16 – Dec 20)

    Unit 5: Algebraic Methods – polynomial operations and factoring

    1. Operations of Linear Functions
    2. Applications of Operations of Polynomial Functions
    3. Division of Polynomial Functions
    4. Factors of Polynomial Functions

    Unit 7: Solutions of Equations – estimating and solving equations

    1. Estimating Solutions to Equations
    2. Solving Linear & Quadratic Equations
    3. Estimating Solutions of Exponential, Logarithmic, Square Root, & Cubic Functions

    Semester 2 (January 4 – May 29)

    Term 3 (Jan 4 – Mar 7)

    Unit 3: Inverses of Functions – verify inverses of functions

    1. Inverses of Linear & Absolute Value Functions
    2. Inverses of Quadratic & Square Root Functions
    3. Inverses of Rational Functions
    4. Inverses of Cubic & Cube Root Functions
    5. Inverses of Exponential & Logarithmic Functions

    Unit 4: Function Operations – add/sub/mult/div operations and composing functions

    1. Constructing & Deconstructing Functions
    2. Composing & Decomposing Functions

    Term 4 (Mar 17 – May 29)

    Unit 6: Matrices – matrix operations & applications by solving equations

    1. Adding & Subtracting Matrices
    2. Multiplying Matrices
    3. Systems of Equations

    Unit 8: Data Modeling – domain/range & linear/quadratic/exponential regression

    1. Examining Domain & Range of Real-World Data
    2. Determining Function Models from Data
    3. Predicting using Models