maddyhelps

Math 20-1

Toolkits

Deep dives on the ideas that show up everywhere. Each one starts with why the idea exists at all — the problem it was invented to solve, what it actually does, and where it turns up outside a classroom — and then goes through it properly: the full explanation, the table you actually need, worked examples, and the mistakes that cost marks.

Quadratics

One curve, four ways of writing it

Standard, vertex and factored form are the same parabola seen from three sides, and each makes a different question trivial. Which to use, how to convert, and how to check.

Open the toolkit

Algebra and number

Restrictions and roots that are not there

Radicals, rational expressions and absolute values all break in the same way. One habit — restrictions first, check last — covers every one of them.

Open the toolkit

How to use these

  • Wondering why any of this is a thing? Read the opening section. It is the part a textbook usually skips.
  • Stuck on a question type? Open the toolkit for that idea and find the worked example closest to it.
  • Revising? Read the tables and try the checks, then go to practice questions to see whether it stuck.
  • Revising for a final? There is no diploma exam in Grade 11, so your school sets the exam — the printable worksheets are the closest thing here to sitting one.