Lesson 1: The Characteristics of a Function
Not startedNot every relationship is predictable. Learn what makes a relation a function, how to spot one in any form, and how to describe its domain and range.
About 40 minutes
Unit 1 · Strand: Quadratic Functions
Chapter 1 of MCF3M: functions, rates of change, function notation, and (coming soon) transformations and domain and range.
Not every relationship is predictable. Learn what makes a relation a function, how to spot one in any form, and how to describe its domain and range.
About 40 minutes
Some patterns grow steadily; others speed up. Use first and second differences to tell linear, quadratic and neither apart — and explain what that means in a real situation.
About 40 minutes
f(x) is a compact way to say “the output for this input”. Learn to read it, evaluate it, link it to tables, graphs and points, and explain it in real situations.
About 40 minutes
A mixed review of Lessons 1.1–1.3. Work through the questions, then take the readiness check to see which skills are ready and which to revisit before transformations.
About 40 minutes
Use the Parabola Transformation Lab to discover how a, h and k move, flip and reshape the parent parabola y = x².
About 40 minutes
Turn vertex form into an accurate graph by transforming key points of y = x², then build parabolas in the Build the Parabola puzzle.
About 40 minutes
Break vertex form into a sequence of transformations, apply them in an order that works, and spot where a sequence goes wrong in the Transformation Challenge.
About 40 minutes
Trace parabolas with the Domain & Range Scanner, use the vertex and opening to state the range, and see why real-world models restrict domain and range.
About 40 minutes
Practise, diagnose and fix mistakes across Lessons 1.1–1.7, then test yourself and see exactly which lessons to revisit before your Chapter 1 test.
About 55 minutes