Grade 8 Mathematics

Powers, fractions, and percent

Equivalent forms make calculations easier and reveal the size of a result.

a^{m} a^{n} = a^{m + n}

Product of powers

% change = \frac{new - original}{original} \times 100

Percent change

A constant rate of change creates a straight-line relationship.

m = \frac{y _{2} - y _{1}}{x _{2} - x _{1}}

Slope

y = m x + b

Slope-intercept form

Right-triangle side lengths are linked by a precise square relationship.

a^{2} + b^{2} = c^{2}

Pythagorean theorem

Data summaries describe a typical value, spread, and likelihood.

P (A) = \frac{favourable outcomes}{total outcomes}

Theoretical probability