Simplifying Problems with Diagrams and Tables
A difficult-looking problem can become easier to reason about when its information is organised differently. Open Full Article...
Home schooling resources for children and parents.
Explore Maths | Lenara Learning
Maths develops accuracy, reasoning and confidence with patterns, quantities and relationships. This Maths category focuses on number, algebra, geometry, statistics, probability and problem-solving strategies used in everyday life and further study. The online lessons are written for curious children and teenagers, with clear explanations that introduce important ideas without assuming specialist knowledge.
Learners can build subject vocabulary, examine useful examples and connect maths to wider questions across school subjects and everyday life. Each lesson aims to explain not only what happens, but how we know and why the topic matters.
The category encourages learners to ask questions, compare evidence and recognise where an answer depends on context, interpretation or further investigation. Difficult concepts are broken into manageable steps so that learners can develop understanding rather than simply memorising facts.
Whether the subject is being studied as part of home education or home schooling, used for revision or explored through personal interest, these lessons support independent thinking and confident discussion. New material can be added as the collection develops.
Browse the lessons below to start learning.
A difficult-looking problem can become easier to reason about when its information is organised differently. Open Full Article...
What separates an answer that looks right from one that must be right? A correct result does not, by itself, show why it cannot be different. Open Full Article...
If a pattern has worked every time it has been checked, must it always be true? Open Full Article...
If you know where a calculation finished, can you reconstruct exactly where it started? Open Full Article...
If x is greater than 4, does that mean x has one answer or infinitely many possible values? Open Full Article...
A paragraph about tickets can hide several different quantities and relationships. Open Full Article...
If a pattern works for the first ten examples, how do we know it will still work for the millionth? Open Full Article...
Why does one equation involving x produce a straight line, while another produces a curve? Open Full Article...
A formula can give speed when the quantity needed is distance, yet the relationship remains unchanged. Open Full Article...
If two equations describe the same two unknown quantities, how can both equations help us pin down one exact pair of values? Open Full Article...