Free US Grade 6 Mathematics
Build the idea.
Then test the structure.
Structures of number and reasoning
Ratios, rational numbers, expressions, equations, geometry, and statistical thinking. 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 6 · eight connected units
Ratios, rates, and percent
Read comparisons precisely, preserve them at a new scale, and reason per one or per hundred.
Operations and number structure
Understand fraction division, compute fluently, and use factors to reveal the structure of whole numbers.
Rational numbers and coordinates
Use signs, order, distance, and coordinates to describe quantities on both sides of zero.
Expressions and equivalence
Interpret exponents, preserve operation order, translate language, and expose equivalent structure.
Equations and inequalities
Treat equality as a balance, solve for unknowns, and distinguish one solution from a range of possibilities.
Variables and relationships
Connect a verbal rule, an equation, a table, and a graph without losing the meaning of either variable.
Area, volume, and surface area
Decompose shapes, reason from coordinates, and distinguish space inside a solid from material covering it.
Statistical reasoning
Ask questions that anticipate variability, then describe center, spread, shape, and context together.