Unit 2 · Strand: Quadratic Functions

Unit 2 — The Algebra of Quadratic Expressions

Chapter 2 of MCF3M: expanding quadratic expressions, then factoring with the GCF, trinomials and special patterns.

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What you'll learn

    Lessons

    Lesson 1: Working with Quadratic Expressions

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    Use area models and the distributive property to expand products like (2x + 3)(x + 4) and (x − 5)² into simplified quadratic expressions.

    About 40 minutes

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    Lesson 2: Factoring Using the Greatest Common Factor

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    Run expanding in reverse: find the greatest common factor, move it outside a bracket, and expand to check that the factorization is correct and complete.

    About 40 minutes

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    Lesson 3: Factoring Quadratic Expressions: x² + bx + c

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    Factor trinomials like x² + 9x + 20 by finding two integers whose sum is b and product is c — and recognize when no such pair exists.

    About 40 minutes

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    Lesson 4: Factoring Quadratic Expressions: ax² + bx + c

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    Use the ac method, split the middle term, and factor by grouping. Take out a GCF first when needed, then expand to check.

    About 40 minutes

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    Lesson 5: Factoring Quadratic Expressions: Special Cases

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    Test special patterns, factor out a GCF first, and check your factors by expanding.

    About 40 minutes

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    Lesson 6: Chapter 2 Unit Review — The Algebra of Quadratic Expressions

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    Find your weak areas, choose a factoring strategy, practise mixed problems and check your readiness for the Chapter 2 test.

    About 60 minutes

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