Functions & Limits

• • Functions

    • Sets (unions, intersections and power sets)

      • Definition

        1. Definition of Function (IM)

        2. Function Notation (IM) | Function Notation 2 (IM) | Notation 3 (IM)

        3. Domain & Range

           • DR Matching

           • Domains (IM)

           • Finding the Domain (IM)

        4. Functions Bundle Desmos

           • Stories and graphs matching

           • Interpreting Graphs

    • Limits Graphically

• • • 1. Limits and Continuity

         • Notebook Limits pdf

         • Notebook Limits

      2. Limits Infinity

         • Notebook Folder

• • Linear & Exponential

    • Writing equations, Sequences, and Graphing

    • Logarithms Notebook

    • e = 2.71 (Compound Interest) (If time permits)

  • Quadratics

    • Definitions of binomials

    • Multiplying Binomials

    • Factoring (all forms)

    • Parabolas (Vertex, Roots, Solution)

    • Projectile motion (Velocity, Acceleration, Position)

    • Completing the square

    • Complex Numbers

      • Arithmetic

      • Powers of i and it’s cycle.

  • Polynomials (folder)

    • Arithmetic Operations

    • Fundamental Theorem of Algebra

      • The Binomial theorem

• • • • • Factorials, Pascal Triangle and Combinations

• • • Division (long/tabular & synthetic)

    • Graphs and graphing (Desmos make handout)

  • Transformations

    • Desmos Transformations Intro

    • Desmos Transformations (rigid motions, dilation)

    • Even and Odd function (Desmos Graphs make handout)

    • Inverse functions (Desmos make handout)

      • IM Task 1 on Inverses

      • IM Task 2 on Inverses

      • IM Task 3 on Inverses

      • IM Task 4 on Inverses

• Desmos

  • 2-week project (Final exam)

Trigonometry

• • Special Right Triangles

    • Sin, Cos, Tan (ratios)

  • Unit Circles (Degrees)

    • Solving equations

  • Unit Circle (Radians)

    • Solving Equations

    • Basic Identities

    • Polar Coordinates

  • Transformations

    • Sin, Cos, Tan

    • More Identities though graphing

    • Proving Identities

    • Application and Tasks

• Matrices (Folder)

  • Arithmetic and Inverse Matrix

  • Determinant

    • Applications (Area, Collinearity, System of Equations)

  • Encryptions

    • Cesar Cypher

    • Hill Cypher

• Conic Sections

  • Circles

    • Writing Equations

    • Defining Characteristics

  • Ellipses

    • Writing Equations

    • Defining Characteristics

  • Parabolas

    • Writing Equations

    • Defining Characteristics

  • Hyperbolas

    • Writing Equations

    • Defining Characteristics