This Algebra I sequence is designed for 9th grade students learning about linear equations and inequalities. Start from the basics and build your understanding step by step.
- What is Algebra?
Introduces algebra as a language of mathematics, explaining variables, symbols, and the purpose of algebra in problem-solving. - Algebraic Expressions and Equations
Introduces variables, expressions, and equations. Students learn how to simplify and write algebraic expressions and understand what it means to solve an equation. - Linear Equations
Focuses entirely on linear equations: what they are, how to solve them, and how they relate to expressions. Builds on the understanding of equations from the previous article. - Algebraic Inequalities: Comparing Values with Variables
Introduces inequalities, how they differ from equations, and how to represent and solve them algebraically. - Graphing Linear Equations
Teaches students how to plot linear equations on the coordinate plane. Connects the concept of slope and y-intercept to graphing. - Slope and Rate of Change
Explores the concept of slope more deeply, helping students interpret and calculate the rate of change in real-world and graph-based contexts. - Forms of Linear Equations
Covers different ways to write linear equations: slope-intercept form, point-slope form, and standard form. Emphasizes converting between forms and understanding what each form shows. - Solving Systems of Linear Equations
Introduces methods to solve systems: graphing, substitution, and elimination. Focuses on when and how systems of equations are used in real life. - Graphing Linear Inequalities
Builds on graphing linear equations and inequalities. Students learn to shade solution regions and interpret the meaning of inequality graphs. - Word Problems with Linear Equations and Inequalities
Applies the concepts of equations and inequalities to real-world word problems. Helps students translate situations into mathematical statements and solve them. - Graphing Systems of Linear Inequalities
Teaches how to graph and interpret systems of inequalities. Students learn to find and understand the solution region that satisfies multiple conditions. - Linear vs. Nonlinear Relationships
Introduces nonlinear relationships and contrasts them with linear ones. Helps students recognize different patterns in equations, graphs, and tables, preparing them for future topics like quadratics and exponentials. - Exponents and Exponential Functions
Understand the rules of exponents and explore exponential growth and decay with examples and real-life applications. - Quadratic Functions
Explore the standard form of quadratic functions, graph parabolas, and find roots using factoring, completing the square, and the quadratic formula. - Graphing Functions
Build on your knowledge of graphing lines and inequalities by learning how to graph quadratic, absolute value, and exponential functions. - Polynomials and Factoring
Learn how to add, subtract, multiply, and factor polynomials using methods like grouping and special products.