Math Lessons

Interactive mathematical learning experiences with calculators, step-by-step explanations, and practice problems.

Exponent Laws: Powers, Negative and Fractional Exponents

Build from repeated multiplication to roots and reciprocals, one rule at a time.

Use the right angle to choose the hypotenuse, then find a missing length with confidence.

Line up the repeating tails, subtract, then simplify.

See why opposite signs cancel the mixed terms, then use the identity in reverse.

Use an area model to see why a squared binomial creates three terms.

Turn algebra language into accurate expressions and avoid common bracket mistakes.

Build precise number language before formal algebra and proof.

Write whole-number division as divisor × quotient + remainder, then check that the remainder is valid.

Recognise quadratic, cubic, reciprocal and exponential graph shapes by their key features.

Use function notation, compose and invert simple functions, then describe graph transformations.