MATHEMATICS

Algebra I

High School · 9 – 12 Courses

All coursesHigh SchoolMathematics57 topics

Algebra I

Overview

Algebra I emphasizes the importance of algebra in everyday life through hundreds of real-world examples. Assessments are designed to ensure that your understanding goes beyond rote memorization of steps and procedures. Upon successful course completion, you will have a strong foundation in Algebra I and will be prepared for other higher-level math courses.

Major Topics and Concepts

Algebra Foundations

5
  • Algebraic Expressions
  • Units and Graphs
  • Descriptive Modeling and Accuracy
  • Translations
  • Algebraic Properties and Equations

Equations and Inequalities

6
  • One-Variable Equations
  • Two-Variable Equations
  • Absolute Value Equations
  • Inequalities
  • Compound Inequalities
  • Literal Equations

Linear Functions

7
  • Relations and Functions
  • Function Notation and Graphs
  • Linear Functions
  • Linear Models
  • Writing Linear Functions
  • Horizontal and Vertical Lines
  • Reflection

Exponential Functions

6
  • Properties of Exponents
  • Operations with Radicals
  • Exponential Functions and Models
  • Graphing Exponential Functions
  • Sequences
  • Exploring Linear and Exponential Growth

Systems of Equations

6
  • Solving Systems of Equations Graphically
  • Solving Systems of Equations Algebraically
  • Solving Systems of Equations Approximately
  • Two-Variable Linear Inequalities
  • Systems of Linear Inequalities
  • Reflection

Statistics

7
  • Representing Data
  • Comparing Data Sets
  • Data Sets and Outliers
  • Two-Way Frequency Tables
  • Scatter Plots and Line of Best Fit
  • Correlation and Causation
  • Reflection

Polynomials

8
  • Introduction to Polynomials
  • Addition and Subtraction of Polynomials
  • Multiplication of Monomials
  • Division of Monomials
  • Multiplication of Polynomials
  • Special Products
  • Division of Polynomials
  • Function Operations

Factoring

7
  • Greatest Common Factor
  • Factoring By Grouping
  • Factoring Trinomials
  • Perfect Square Trinomials
  • Difference of Perfect Squares
  • Polynomial Functions
  • Reflection

Quadratic Functions

5
  • Quadratic Models
  • Quadratics and Completing the Square
  • Quadratics and the Quadratic Formula
  • Applications of Quadratic Functions
  • Exploring Non-Linear Systems and Growth
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