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Preview of Cambridge IGCSE™ and O Level Additional Mathematics Series

Page 64

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CAMBRIDGE IGCSE™ ADDITIONAL MATHEMATICS: TEACHER’S RESOURCE

2 Simultaneous equations and quadratics Topic

Order in chapter

Solving quadratic equations for real roots

First

PL E

Scheme of work

Resources

Solve quadratic equations for real roots by factorising, formula, completing the square.

Coursebook: Sections 2.2 and 2.5

Find the maximum or minimum value of the quadratic function f : x ↦ ax2 + bx + c by completing the square.

Coursebook: Section 2.2

SA M

Applications After solving of completing quadratic the square equations

Learning content

PowerPoints: 2 recap b Factorising and quadratic formula 2.2b Completing the square recap 2.2c The parabola and quadratic function forms

PowerPoints: 2.2a Worked examples 2 & 4

Use the maximum or minimum value of f(x) = ax2 + bx + c to sketch the graph or determine the range for a given domain.

Modulus functions

Solving quadratic inequalities

After solving quadratic equations; could be studied later in the course

Understand the relationship between y = f(x) and y = |f(x)|, where f(x) is quadratic.

After solving quadratic equations

Find the solution set for quadratic inequalities.

Coursebook: Section 2.3 PowerPoints: 2.3a Modulus of a quadratic including Worked example 5 Coursebook: Section 2.4 PowerPoints: 2.4 Worked examples 6 & 7 Pdf files: Chapter 2 Teacher notes, class discussion section 2.4 This resource is printable and/or editable Chapter 2 Lesson Plan (Continued)

1

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