Lower Secondary
Interactive mathematical learning experiences with calculators, step-by-step explanations, and practice problems.
Math Topic
Exponent Laws: Powers, Negative and Fractional Exponents
Build from repeated multiplication to roots and reciprocals, one rule at a time.
Pythagoras’ Theorem
Use the right angle to choose the hypotenuse, then find a missing length with confidence.
Recurring Decimals to Fractions
Line up the repeating tails, subtract, then simplify.
Difference of Two Squares
See why opposite signs cancel the mixed terms, then use the identity in reverse.
Perfect Square Expansion
Use an area model to see why a squared binomial creates three terms.
Algebraic Expressions: Expand, Simplify and Substitute
Turn algebra language into accurate expressions and avoid common bracket mistakes.
Numbers, Factors and Primes
Build precise number language before formal algebra and proof.
The Division Algorithm
Write whole-number division as divisor × quotient + remainder, then check that the remainder is valid.
Ratios, Proportions and Rates
Build the four core methods—simplify, share, unitary, and rates—with clear Lower Secondary examples and practice.
Factorising Quickly: Speed Up Your Algebra
Simplify algebra in seconds by spotting common factors.
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