Grade 7 Mathematics

Integers and rational numbers

Numbers describe direction, change, comparison, and parts of a whole.

a - (- b) = a + b

Subtracting a negative

\frac{a}{b} \times \frac{c}{d} = \frac{a c}{b d}

Fraction multiplication

Equivalent ratios describe the same multiplicative relationship.

\frac{a}{b} = \frac{c}{d} \Rightarrow a d = b c

Proportion cross-products

A variable helps express a pattern that continues beyond the values shown.

y = m x + b

Linear pattern form

Measurements and displays turn spatial and data relationships into quantities students can compare.

A = bh

Parallelogram area

A = \frac{1}{2} bh

Triangle area