MATH-301In Development

Algebra, Geometry & Precalculus

Algebra I

Represent patterns with variables and solve linear relationships, equations, inequalities, systems, and introductory quadratic models.

Level
Level 3 — Intermediate
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.

Learning outcomes

By the end, learners will be able to…

  • Translate verbal situations into algebraic expressions, equations, and inequalities.
  • Simplify expressions and solve linear equations accurately.
  • Graph and interpret linear functions using slope, intercepts, tables, and context.
  • Solve systems of linear equations using appropriate methods.
  • Apply exponent, polynomial, and introductory quadratic reasoning to models.
  • Check solutions and explain what they mean in context.

Module outline preview

12 planned modules

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

  1. 01

    Algebraic Language and Variables

    Translate quantities, relationships, and patterns into mathematical expressions.

    1.75 hours · In Development
  2. 02

    Evaluating and Simplifying Expressions

    Apply properties and operation order to algebraic expressions.

    1.75 hours · In Development
  3. 03

    Foundations of Linear Equations

    Solve one-step and two-step equations while preserving equality.

    1.75 hours · In Development
  4. 04

    Multistep Equations and Formula Rearrangement

    Solve complex linear equations and isolate a chosen variable.

    1.75 hours · In Development
  5. 05

    Linear Inequalities

    Solve, graph, and interpret one-variable inequalities.

    1.75 hours · In Development
  6. 06

    Proportional and Linear Models

    Distinguish proportional relationships from general linear relationships.

    1.75 hours · In Development
  7. 07

    Coordinate Graphs and Functions

    Represent functions with tables, equations, graphs, and verbal descriptions.

    1.75 hours · In Development
  8. 08

    Slope and Intercepts

    Analyze rate of change and starting value in linear contexts.

    1.75 hours · In Development
  9. 09

    Systems of Linear Equations

    Solve and interpret intersections using graphing, substitution, and elimination.

    1.5 hours · In Development
  10. 10

    Exponents, Polynomials, and Quadratic Patterns

    Work with polynomial expressions and recognize quadratic structure.

    1.5 hours · In Development
  11. 11

    Factoring and Introductory Quadratics

    Solve simple quadratic equations and connect factors with roots.

    1.5 hours · In Development
  12. 12

    Modeling and Algebra I Synthesis

    Apply linear and introductory quadratic tools to cumulative scenarios.

    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.

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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.