MATH-303In Development

Algebra, Geometry & Precalculus

Algebra II and Functions

Extend algebraic reasoning to functions, polynomials, exponentials, logarithms, systems, and algebraic models.

Level
Level 4 — Advanced
Learning time
20 hours
Format
Extended Course
Modules
12

Course structure

A clear outline before lessons begin.

This course is published as a development map. Full lessons, practice, and assessments will be added after content review.

Prerequisites

Complete these courses before beginning when they are available.

Recommended preparation

These courses strengthen preparation but are not strict prerequisites.

Learning outcomes

By the end, learners will be able to…

  • Analyze functions through equations, graphs, tables, transformations, and inverses.
  • Solve polynomial, rational, radical, exponential, and logarithmic equations.
  • Use complex numbers and polynomial structure where appropriate.
  • Model growth, decay, and other changing quantities with functions.
  • Analyze sequences and represent patterns algebraically.
  • Select and justify a function model for a contextual problem.

Module outline preview

12 planned modules

Estimated times add up to the course’s planned learning time. Every module is in development.

  1. 01

    Functions and Representations

    Analyze domain, range, notation, and multiple ways to represent a function.

    1.75 hours · In Development
  2. 02

    Linear and Quadratic Function Review

    Extend familiar function models and transformations.

    1.75 hours · In Development
  3. 03

    Polynomial Operations

    Add, multiply, divide, and interpret polynomial expressions.

    1.75 hours · In Development
  4. 04

    Factoring, Zeros, and Polynomial Graphs

    Connect factors, roots, multiplicity, and graph behavior.

    1.75 hours · In Development
  5. 05

    Rational Expressions and Equations

    Simplify and solve rational relationships while recognizing restrictions.

    1.75 hours · In Development
  6. 06

    Radicals and Complex Numbers

    Work with radicals, irrational values, and basic complex-number operations.

    1.75 hours · In Development
  7. 07

    Exponential Functions and Growth Models

    Analyze exponential change and compare it with linear change.

    1.75 hours · In Development
  8. 08

    Logarithms and Inverse Relationships

    Use logarithms to solve and interpret inverse exponential relationships.

    1.75 hours · In Development
  9. 09

    Sequences and Series Foundations

    Model arithmetic and geometric patterns with recursive and explicit rules.

    1.5 hours · In Development
  10. 10

    Systems and Matrix Methods

    Represent and solve multi-variable systems using algebraic and matrix approaches.

    1.5 hours · In Development
  11. 11

    Function Modeling

    Select, fit, and critique function models from contextual information.

    1.5 hours · In Development
  12. 12

    Algebra II Synthesis

    Integrate function families and algebraic methods in cumulative applications.

    1.5 hours · In Development

Course status

Course coming soon

This course is not yet open for enrollment and does not include lessons, practice, assessments, or formal credit. You can review the outline while it is developed.

Back to Mathematics

Recommended learning paths

A clear sequence, not a random list.

These paths show a recommended order. Branches identify connected study that can follow once prerequisites are complete.