Ontario grades 9–12 math toolkits

If one explanation doesn't click, there's another way in.

Each toolkit teaches one clear method first — then shows two or three alternatives worked on the same problem. Built from real tutoring sessions, matched to Ontario courses.

See how it works

One problem. Three methods. Your student finds the one that clicks.

Student working through a math problem in a notebook
ProblemFactor: x² + 5x + 6
The standard way

Find two numbers

Find two numbers that multiply to 6 and add to 5. That's 2 and 3. So: (x + 2)(x + 3).

Works great if the numbers come quickly.

If that didn't land

The box method

Draw a 2×2 box. Put x² top-left, 6 bottom-right. Multiply them: 6x². Find factors of 6x² that add to 5x: 2x and 3x. Fill the box, read the factors.

Visual thinkers often prefer this.

Still stuck?

Decomposition

Rewrite 5x as 2x + 3x. Group: x(x + 2) + 3(x + 2). Factor out (x + 2): answer is (x + 2)(x + 3).

Slower but never fails — even on harder problems.

Toolkits matched to Ontario courses

Each one covers a single topic, thoroughly. Buy the one your student needs right now.

See all toolkits
MPM2D / MFM2PBest seller

Factoring Toolkit

Every factoring type from grade 10: GCF, simple trinomials, complex trinomials, difference of squares, and perfect squares — each shown three ways.

MCR3U / MCF3M

Quadratics Toolkit

Vertex form, standard form, factored form — converting between them, graphing, and solving. Three entry points for each skill.

MHF4U / MCV4UNew

Trigonometry Toolkit

Unit circle, CAST rule, identities, and solving trig equations. Built for students who hit a wall in grade 11 and need a fresh start.

Free resource

Get a free mini-toolkit

The Factoring Starter: five problems, three methods each, with full worked solutions. Enter your email and I'll send it straight to you.

No spam. I email parents and teachers when new toolkits come out before exams — that's it.

What's your student stuck on?

Tell me the topic and the course. I use these to decide what to build next — and I'll let you know when it's ready.

How every toolkit works

Five layers, always in the same order, so students know where to look when they're stuck.

01

One clear method

Taught start to finish before anything else.

02

Plan B (and C, and D)

Two or three other methods, worked on the same problem.

03

Which method when

A one-page guide for picking the fastest route.

04

Common mistakes

The usual slip for each method, and how to catch it.

05

Practice + solutions

Easy to exam-level, with full worked solutions.

About the tutor

I've seen every version of "I'm bad at math."

I have a math degree and I've been tutoring Ontario high school students for years. The students who come to me aren't bad at math — they were shown one method that didn't fit how they think, and nobody showed them another way.

These toolkits are what I hand my students when the first explanation doesn't land. I built them from my tutoring notes, matched them to the Ontario curriculum, and made them available here so more students can use them.

Bachelor's and Master's Degree in Applied and Computational Mathematics
5+ years of tutoring experience from grades 6- university level classes
CRLA Level III certified tutor and member of Pi Mu Epsilon National Mathematics Honor Society

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