MCR3U Functions Foundations

Eight tutor-led lessons that turn Grade 10 quadratics and trig into the function fluency MCR3U expects on day one.

Who it's for: Students finishing Grade 10 academic (MPM2D) heading into Grade 11 Functions (MCR3U), or MCR3U students who need the foundations rebuilt fast in a group of four.

✓ Uses function notation, domain, and range fluently, including denominator and radicand restrictions✓ Factors and solves any quadratic — factorable or not — using the best tool for the job✓ Moves between vertex, factored, and standard form and reads each form's story on sight✓ Applies transformations to graphs and equations with correct order of operations✓ Simplifies radicals and exponents, and uses primary trig ratios with confidence

The 8-lesson plan

Slides are what your tutor teaches from in the live lesson. The practice module is homework — do it before the next lesson.

1

Function Notation, Domain, Range & Rate of Change — The Language of MCR3U

What makes a relation a function, how to read and evaluate f(x), how to state domain and range in set notation for linear functions and for quadratics given in a directly-readable (vertex-form) equati

Slides Practice module
2

Factoring Fluency I — GCF and Simple Trinomials

Build fast, reliable factoring skills for greatest common factor removal and simple trinomials (leading coefficient 1) — the base every other factoring technique builds on.

Slides Practice module
3

Factoring Fluency II — Special Patterns and Complex Trinomials

Extend factoring to the difference-of-squares and perfect-square-trinomial shortcuts, then to complex trinomials via decomposition, in order of increasing difficulty.

Slides Practice module
4

Rational Expressions — Simplify, Multiply, Divide, Add, and Subtract

Apply the factoring skills from the last two lessons to simplify, multiply, divide, and combine rational expressions with a common or unlike denominator — the fluency MCR3U's Characteristics of Functi

Slides Practice module
5

Quadratics I — Standard Form, Factored Form, and Zeros

Connect standard and factored forms of a quadratic, find zeros by factoring, and solve quadratic equations using the zero product property.

Slides Practice module
6

Radicals, Exponent Laws, and Exponential Functions

Simplify radicals and apply the integer exponent laws that both the quadratic formula and exponential functions depend on, then define and evaluate exponential functions, classify growth versus decay,

Slides Practice module
7

Quadratics II — Vertex Form, the Quadratic Formula, and the Discriminant

Read vertex form directly for max/min problems, then solve any quadratic — factorable or not — with the quadratic formula and discriminant, using the radical-simplification skill from the last lesson.

Slides Practice module
8

Trig — Primary Ratios, the Sine Law, and the Cosine Law

Review SOH-CAH-TOA for right triangles, then extend to the sine law (including the ambiguous case) and cosine law — solved for both a missing side and a missing angle — to solve any triangle, closing

Slides Practice module
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