Principled Maths

Y2 Pure, Chapter 2:

Functions and graphs

Y2 Pure Chp2 KO.pdf

Knowledge organiser

Y2 Pure - Chp2 Functions and Graphs.pdf

Textbook chapter

Y2 Pure Chp2 Solutions.pdf

PMT solutions

Y2 Pure 2.1

Modulus function

Intro: modulus function

Sketching the modulus of a linear function

+B7-07 (examples)

Intro: solving modulus equations

+B7-09 (examples)

Solving modulus inequalities

Writing a modulus inequality in a form without the modulus

+B7-12 (examples)

Writing an inequality in a form with a modulus

+B7-14 (examples)

Methods of writing an inequality in a form with a modulus

Y2 Pure 2.2

Functions and mappings

What is a function?

Intro: domain and range of a function

+B8-03 (examples)

One-to-one, Many-to-one, One-to-many, Many-to-many

Restricting the domain

The range of modulus functions

Even & odd functions

Set notation for domain and range

+B8-17 (interval notation)

Y2 Pure 2.3

Composite functions

Intro: composite functions

+B8-09 (examples)

The domain of a composite function

Y2 Pure 2.4

Inverse functions

Intro: inverse functions and restricting the domain

Finding an inverse function

+B8-13 (examples)

Domain and range of an inverse function

Y2 Pure 2.5

y = |f(x)| and y = f(|x|)

EDEXCEL

Sketching the modulus of other functions

EDEXCEL

Sketching y=f(|x|)

Y2 Pure 2.6

Combining transformations

Examples of transforming

y = ln(x)

Examples of transforming

a piecewise function

Combining transformations - does the order matter?

Examples of describing two transformations

+B9-23

Two transformations via ‘replacing’

Using order of operations ("GEMS")

Y2 Pure 2.7

Solving modulus problems

Textbook

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