Unit 1 · Strand: Quadratic Functions

Unit 1 — Introduction to the Quadratic Function

Chapter 1 of MCF3M: functions, rates of change, function notation, and (coming soon) transformations and domain and range.

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What you'll learn

    Lessons

    Lesson 1: The Characteristics of a Function

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    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

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    Lesson 2: Comparing Rates of Change in Linear and Quadratic Functions

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    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

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    Lesson 3: Working with Function Notation

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    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

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    Lesson 4: Mid-Chapter Review — 1.1–1.3

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    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

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    Lesson 5: Exploring Transformations of Quadratic Functions

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    Use the Parabola Transformation Lab to discover how a, h and k move, flip and reshape the parent parabola y = x².

    About 40 minutes

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    Lesson 6: Graphing Quadratic Functions Using Transformations

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    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

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    Lesson 7: Using Multiple Transformations to Graph Quadratic Functions

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    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

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    Lesson 8: Domain and Range of a Quadratic Function

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    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

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    Lesson 9: Chapter 1 Review / Test Prep

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    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

    Start