FREE LEARNING SERIES
Build confidence with numbers and algebra
Connect fractions, ratios, powers and equations through examples from everyday life.
4 lessons · Learn at your own pace
Begin the first lesson →
Learn, practise, explain
Try the exercise before reading its explanation. Answer the self-check questions in your own words, then compare your reasoning with the answers. Revisit any difficult section before moving on. No account or payment is needed.
- 01
Fractions, decimals and percentages: one quantity, three forms
A half-filled bottle, 0.5 litre and 50% can describe related ideas, but only when the whole is clear. Learn to change forms, calculate with them, and explain what a percentage actually compares.
Learning outcome: Convert among the three forms, combine fractional amounts, calculate a percentage change, and spot misleading comparisons that use different starting quantities.
Open lesson → - 02
Ratios, proportion and unit rates: compare fairly
A larger packet may cost more but offer a lower price per item. A recipe can serve more people without changing its proportions. Ratios explain both situations when quantities, order and units are stated carefully.
Learning outcome: Interpret ratios, scale a mixture, compare unit prices and test whether a situation supports proportional reasoning.
Open lesson → - 03
Exponents, roots and scientific notation: reason across scales
A tiny thickness and a huge count are easier to compare when powers of ten organise the numbers. Learn what exponents mean, why their rules work, and how roots reverse a power without losing important sign information.
Learning outcome: Use exponent rules with their conditions, distinguish a square root from solutions of a squared equation, and calculate with large and small quantities in scientific notation.
Open lesson → - 04
Algebra: turn a situation into an expression and an equation
Algebra gives a name to an unknown quantity and expresses relationships that stay true. Start with everyday counts and costs, then learn why each step in solving an equation preserves its meaning.
Learning outcome: Build and simplify expressions, solve equations with one unknown, explain each operation and recognise impossible or unrestricted equations.
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