Grade 8: 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
Integer Powers and Scientific Notation
Powers encode repeated multiplication. Integer exponent rules preserve that structure, while scientific notation separates a number’s scale from a coefficient that can be compared or operated on efficiently.
Before you begin: Multiply and divide signed rational numbers; understand place value and repeated factors.
- Unit 2 · 4 lessons
Real Roots and Approximation
Roots reverse powers, but their exact values and decimal approximations must be distinguished. Integer squares provide reliable bounds, and odd roots retain negative signs while principal square roots are nonnegative.
Before you begin: Evaluate integer squares and cubes; order decimals; understand positive and negative numbers.
- Unit 3 · 4 lessons
Linear Equations: One, Many, or No Solutions
An equation’s solution count depends on its entire structure. Balanced simplification may isolate a variable, reduce to an identity, or expose a contradiction; each outcome has a different interpretation.
Before you begin: Solve two-step equations; distribute factors; find a least common denominator.
- Unit 4 · 4 lessons
Plan with Linear Rules
Evaluate linear models, recover them from tables, find inputs, and compare intersecting rules.
Before you begin: Use signed arithmetic and solve a simple two-step equation. · Read (input, output) pairs and distinguish a count from its cost.
- Unit 5 · 4 lessons
Systems of Two Linear Equations
A system requires the same ordered pair to satisfy every equation. Substitution and elimination find that shared pair, while parallel or coincident line structure explains whether a system has none or many solutions.
Before you begin: Solve linear equations; evaluate a formula; read an ordered pair.
- Unit 6 · 4 lessons
Functions, Nonlinear Patterns, and Domains
A function assigns one output to each allowed input. A table can reveal nonlinear structure or interval-average change, while the domain records which inputs make sense mathematically and in the supplied context.
Before you begin: Read ordered pairs; calculate differences and squares; distinguish whole-number counts from continuous measurements.
- Unit 7 · 4 lessons
Rigid Transformations and Their Order
Translations, reflections and rotations preserve distances and angle measures. Coordinate rules describe these moves exactly, and a sequence of moves must be applied in its stated order to determine the final image.
Before you begin: Read signed coordinates; add signed numbers; recognize x-axis, y-axis and origin.
- Unit 8 · 4 lessons
Dilations and Right-Triangle Structure
Dilations change lengths by a common factor and preserve shape. Right-triangle relationships connect squared perpendicular lengths; their converse tests whether supplied side lengths support a right angle, including in a three-dimensional diagonal model.
Before you begin: Evaluate squares and positive square roots; read coordinates; know legs and hypotenuse.
- Unit 9 · 4 lessons
Bivariate Trends, Predictions, and Residuals
Paired measurements describe how two variables vary together. A trend line summarizes association, predicted outputs can be compared with observations using residuals, and the observed input range limits how confidently that trend can be extended.
Before you begin: Read coordinate pairs and linear rules; subtract signed numbers; identify an interval.
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