Grade 9: Math
Start with a unit whose prerequisites fit. Work through the lessons, use the study guide to review, and try the new cases before continuing.
- Unit 1 · 4 lessons
Algebra1: Polynomial Expressions
Polynomials combine terms with nonnegative integer variable powers. Their degree describes the highest power, while addition, multiplication and factoring preserve equivalent expressions that can be checked by expansion or substitution.
Before you begin: Combine like terms; distribute; evaluate positive integer powers.
- Unit 2 · 4 lessons
Algebra1: Solution Sets and Parameters
An equation may describe distance, a bounded interval, a parameter-dependent relation or a formula between several quantities. Its solution must respect all stated conditions, including endpoint inclusion and nonzero divisors.
Before you begin: Solve two-step equations; order real numbers; distinguish a variable from a given constant.
- Unit 3 · 4 lessons
Algebra1: Linear Forms and Piecewise Rules
A line can be represented through slope and point, standard coefficients, or intercepts. Piecewise functions combine different rules on different domains, so choosing the correct branch is part of evaluation.
Before you begin: Read coordinates; solve linear equations; interpret slope as output change per input change.
- Unit 4 · 4 lessons
Algebra1: Systems and Feasible Linear Models
A mathematical plan can require simultaneous equalities or inequalities. The feasible set contains inputs satisfying all constraints, and a linear objective asks which allowed choice gives the greatest or least modeled value.
Before you begin: Solve two-variable linear systems; evaluate inequalities; read coordinate points.
- Unit 5 · 4 lessons
Algebra1: Quadratic Solution Structures
Quadratic equations can be solved by revealing factors, making a square, or undoing a square. Each method exposes structure, and all valid roots must be retained and checked in the original equation.
Before you begin: Expand binomials; understand square roots; solve linear equations.
- Unit 6 · 4 lessons
Algebra1: Quadratic Formula and Graph Features
Quadratic equations and graphs express the same underlying structure. A discriminant predicts real-root count, the quadratic formula calculates roots, and vertex form displays shifts, direction and stretching directly.
Before you begin: Evaluate squares and roots; expand binomials; interpret a coordinate vertex.
- Unit 7 · 4 lessons
Algebra1: Exponential Patterns and Geometric Sequences
An exponential pattern changes by a constant multiplicative ratio over equal input steps. This differs from a linear pattern’s constant addition and can model supplied growth, decay or ordered geometric sequence terms.
Before you begin: Evaluate integer powers; interpret percent multipliers; read sequence subscripts.
- Unit 8 · 4 lessons
Algebra1: Descriptive Data and Outliers
Data summaries describe center and spread using stated definitions. Mean, median, interquartile range and mean absolute deviation respond differently to extreme values, so the chosen measure should match the question and convention.
Before you begin: Order numbers; compute a mean; take absolute differences.
- Unit 9 · 4 lessons
Distances and Scaled Designs
Use right triangles, coordinates, and similarity to reason about fictional designs.
Before you begin: Evaluate squares and positive square roots. · Read coordinates, multiply decimals, and use rectangle area and perimeter formulas.
Check what you can explain
The subject test uses additional supplied cases across these units. Its feedback links back to the relevant lessons. Use it to plan practice; a score on these questions is not a school grade or proof of complete subject mastery.
Open the subject test