Free US Grade 8 Mathematics
Build the idea.
Then test the structure.
Linear models, functions, and spatial reasoning
Real numbers, exponents, lines, systems, functions, transformations, Pythagorean reasoning, and bivariate data. Each unit separates explanation from diagnosis: four focused theory pages establish the structure, then one synthesis problem reveals the exact idea that needs review.
Course map
Grade 8 · eight connected units
Real numbers and roots
Distinguish rational and irrational numbers, interpret roots, and place irrational values by rational approximation.
Integer exponents and scientific notation
Use exponent laws, express extreme magnitudes, operate in scientific notation, and interpret scale comparisons.
Slope and linear relationships
Interpret slope as rate of change, justify its constancy, connect intercepts to context, and compare representations.
Linear equations and systems
Solve equations with rational coefficients, classify solution sets, and interpret systems algebraically and graphically.
Functions and models
Define functions, compare representations, distinguish linear from nonlinear behavior, and model change in context.
Transformations, congruence, and similarity
Track rigid motions and dilations in coordinates, distinguish congruence from similarity, and reason from angle relationships.
Pythagorean reasoning and solid volume
Use the Pythagorean Theorem and its converse, calculate coordinate distance, and model cylinders, cones, and spheres.
Bivariate data and association
Interpret scatter plots, fit linear models informally, read slope and intercept in context, and analyze two-way tables.