Free US Grade 7 Mathematics
Build the idea.
Then test the structure.
Proportion, algebra, geometry, and chance
Proportional reasoning, rational operations, multistep algebra, scale, circles, sampling, and probability. 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 7 · eight connected units
Proportional relationships
Connect complex unit rates, constants of proportionality, graphs, equations, and multistep percent problems.
Adding and subtracting rational numbers
Interpret signed movement, combine opposites, rewrite subtraction, and measure distance between rational values.
Multiplying and dividing rational numbers
Extend multiplication and division to signed numbers, interpret quotients, and connect fractions with decimal expansions.
Expressions, equations, and inequalities
Rewrite linear expressions, expose percent structure, and solve multistep equations and inequalities in context.
Scale drawings and geometric structure
Reason with length and area scale factors, triangle conditions, cross-sections, and geometric construction constraints.
Circles, angles, and composite figures
Derive circle measures, solve angle relations, decompose composite areas, and distinguish surface area from volume.
Sampling and population inference
Judge representativeness, use samples to estimate populations, compare distributions, and acknowledge sampling variability.
Probability and chance models
Interpret probability, compare theoretical and experimental models, organize compound outcomes, and design simulations.