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8189Trigonometry : Trig functions : Find Derived Identity 1

8188Trigonometry : Trig functions : Find Derived Identity 2

8061Coordinate geometry : Coordinates : Exam Question

8060Algebra and Functions : Reciprocal curves : y=1/(x+a) +b

8059Algebra and Functions : Domain and range : Exam Question

8048Exponentials and logs : Exponentials : The graph of a

^{x}8029Algebra and Functions : Functions and inverses : Exam Question

7987Algebra and Functions : Functions : Exam Question

7982Algebra and Functions : Piecewise-defined functions : Example 3

7981Algebra and Functions : Piecewise-defined functions : Example 2

7980Algebra and Functions : Piecewise-defined functions : Example 1

7979Algebra and Functions : Piecewise-defined functions : Investigate 5

7978Algebra and Functions : Piecewise-defined functions : Investigate 4

7977Algebra and Functions : Piecewise-defined functions : Investigate 3

7976Algebra and Functions : Piecewise-defined functions : Investigate 2

Midpoint 3

Coordinates and points

Distance between 2 points

Observation O-test

Midpoint

Midpoint 2

Midpoint 4

Randomized Exam Q 2006

Distance between 2 points 2

Randomized Exam Q 2005

Distance between 2 points 3

Sides of a triangle

Isosceles triangle

Vocabulary O-test

Parallelogram

Isosceles triangle 2

Timed O-test

True or false O-test

O-test 1

O-test 2

O-test 3

O-test 4

Victorian sewer

Midpoint, length, gradient

Between two points

Find the gradient

Find the gradient 2

The gradient using tan t

Collinear points

Line between 2 points

Randomized Exam Q 2000

True or false O-test

O-test 1

O-test 2

Randomized Exam Q 2008

Timed O-test

Linear denominator

Quadratic denominator 3

Curve recognition

Quadratic denominator

Quadratic over quadratic 2

Asymptotes or not?

Introduction

Quadratic over quadratic

Linear denominator 2

Sketch the graph

Plotting O-test 1

Plotting O-test 2

Randomized Exam Q 2000

Quadratic denominator 2

Using a GDC

Exam O-test

Straight line recognition 3

Straight line recognition 2

ax+by+c=0

Randomized Exam Q 2010

Randomized Exam Q 2010

Randomized Exam Q 2009

Randomized Exam Q 2009

Randomized Exam Q 2011

y-y

_{1}=m(x-x_{1})Randomized Exam Q 2009

Equations in intercept form

Practise

Randomized Exam Q 2010

Randomized Exam Q 2009

Randomized Exam Q 2010

Axis intercepts

Randomized Exam Q 2009

Finding equations

The vertical wedge

Randomized Exam Q 2010

Plot y=mx+c

Finding perpendicular lines

Randomized Exam Q 2009

Randomized Exam Q 2009

Randomized Exam Q 2009

O-test 2

Randomized Exam Q 2009

Randomized Exam Q 2010

Match Lines (y=mx+c) to Points

Randomized Exam Q 2014

Introduction

Observation O-test

Perpendicular distance

Match Lines (y=mx+c)

Straight line recognition

Finding equations 2

Finding equations 3

O-test 1

O-test 3

Randomized Exam Q 2000

Randomized Exam Q 2000

Randomized Exam Q 2002

Randomized Exam Q 2002

Randomized Exam Q 2003

Randomized Exam Q 2003

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Randomized Exam Q 2014

Randomized Exam Q 2006

Randomized Exam Q 2006

Randomized Exam Q 2007

Finding parallel lines

Finding parallel lines 2

Finding parallel lines 3

Randomized Exam Q 2006

Randomized Exam Q 2006

Randomized Exam Q 2006

Randomized Exam Q 2007

Randomized Exam Q 2007

Randomized Exam Q 2007

Randomized Exam Q 2007

Randomized Exam Q 2007

Parallel and perpendicular lines

Perpendicular gradients

Randomized Exam Q 2008

Randomized Exam Q 2008

Perpendicular gradients 2

Right angles

Randomized Exam Q 2008

Finding perpendicular lines 2

Randomized Exam Q 2008

Randomized Exam Q 2008

Finding perpendicular lines 3

Finding perpendicular lines 4

Randomized Exam Q 2008

Randomized Exam Q 2008

O-test 4

Randomized Exam Q 2008

Randomized Exam Q 2008

Randomized Exam Q 2008

Randomized Exam Q 2008

Vocabulary O-test

Finding lines - the method

Randomized Exam Q 2008

Analysis

Linear graph quiz

True or false

True or false 2

True or false O-test 1

True or false O-test 2

Quiz

Timed O-test

Quiz 2

O-test 5

O-test 6

Exam O-test 1

Exam O-test 2

Exam O-test 3

Exam O-test 4

Exam O-test 5

Exam O-test 6

Exam O-test 7

The formulae

Memorise the formulae

Perpendicular & altitude

Orthocenter

Altitudes

Circumcenter 2

Perpendiculars

Orthocenter 2

Centroid

Circumcircle

Medians

Centroid 2

Circumcenter

Investigate

y=ax³+bx²+cx+d

Randomized Exam Q 2009

Cubics using a GDC

Solving ax³+bx²+cx+d=0

Randomized Exam Q 2009

y=(x-a)(x-b)(x-c)

Observation O-test

Plotting O-test 1

Plotting O-test 2

Identify the coefficients

O-test 1

Factorising 2

Factorising 1

Form the cubic

Randomized Exam Q 2006

O-test 2

Linear,quadratic,cubic

Randomized Exam Q 2007

True or false

True or false 2

Randomized Exam Q 2006

Randomized Exam Q 2008

Exam O-test

Domain and Range Introduction

Randomized Exam Q 2009

Investigate Domain and Range

Domain and range

Domain and range 2

O-test 1

O-test 2

Randomized Exam Q 2006

Randomized Exam Q 2008

Match Composite Functions 2

Randomized Exam Q 2011

Randomized Exam Q 2004

Randomized Exam Q 2009

Investigate Odd and Even Functions

Function notation

Explore Composite Functions 2

Randomized Exam Q 2011

Introduction

Evaluating

Values of functions

Values of functions 2

Values of functions 3

Values of functions 4

Composition 3

Randomized Exam Q 2000

Even functions

Even functions 2

Even functions 3

Odd functions

Odd functions 2

Odd functions 3

Randomized Exam Q 2003

O-test 5

True or false O-test 1

True or false O-test 2

O-test 6

Matching O-test 1

Matching O-test 2

Randomized Exam Q 2007

Randomized Exam Q 2007

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Randomized Exam Q 2008

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Randomized Exam Q 2008

Exam O-test

Exam timed O-test

Randomized Exam Q 2011

Investigate Functions and Inverses

Randomized Exam Q 2008

Randomized Exam Q 2009

Randomized Exam Q 2010

Example 1

Randomized Exam Q 2008

Randomized Exam Q 2010

Randomized Exam Q 2010

Randomized Exam Q 2008

Example 6

Randomized Exam Q 2009

Randomized Exam Q 2009

Example 3

Example 4

Example 5

Verify inverses

Randomized Exam Q 2000

Inverses on a GDC

Randomized Exam Q 2004

Randomized Exam Q 2005

Randomized Exam Q 2006

True or false

O-test 1

Matching O-test

Randomized Exam Q 2006

O-test 2

O-test 3

Randomized Exam Q 2007

Randomized Exam Q 2007

Randomized Exam Q 2007

Randomized Exam Q 2007

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Randomized Exam Q 2008

Randomized Exam Q 2008

Exam O-test 1

Exam O-test 2

Exam O-test 3

Quartics

Curve recognition

Other powers

Match Polynomial Curves

Curve recognition 2

Matching O-test

Step functions

The Heaviside function

Heaviside 2

Other graphs

Investigate 1

Investigate 2

Investigate 3

Investigate 5

Investigate 4

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Piecewise graphs on a GDC

Plotting O-test 2

Plot Quadratics (y=(x-a)²+b)

Investigate Quadratic Roots

More on y=(x-a)²+b

Plot Quadratics (y=ax²+bx+c)

Min and max

y=c(x-a)(x-b)

O-test 1

Randomized Exam Q 2008

Plot Quadratics (y=(x-a)(x-b))

O-test 2

True or false O-test 2

Basic shape

Observation O-test 1

Plotting O-test 1

Observation O-test 2

Timed O-test

Using a GDC

More on y=(x-a)(x-b)

Curve recognition

Match Factors of Quadratic Curves

Axis of symmetry

Curve recognition 3

Quadratic curve quiz

True or false O-test 1

Randomized Exam Q 2008

y=1/(x+a) +b

y=a/x

Symmetries

Randomized Exam Q 2007

Plotting O-test

Exam O-test

Graph of e

^{x}The number e

Randomized Exam Q 2009

Randomized Exam Q 2007

Randomized Exam Q 2011

Randomized Exam Q 2009

Discrete growth

Discrete decay

Football crowds

Music fans

O-test

Continuous growth

Radioactive half-life

Radioactive half-life 2

Computer prices

Elephant population

Spread of infection

Investments

Randomized Exam Q 2005

Randomized Exam Q 2014

Randomized Exam Q 2007

Randomized Exam Q 2008

Randomized Exam Q 2008

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Exam O-test 1

Exam O-test 2

Exam timed O-test 2

The solution of a

^{x}=bSolving with a GDC

Timed O-test

Solving with a GDC 2

The graph of a

^{x}The graph of a

^{x}2Plotting O-test

A joke

Exponential functions

Exponential equations

O-test

Graph of Log

_{10}and its TransformationsGraph of log ax 2

Randomized Exam Q 2000

True or false O-test

The Sine/Cosine Curves

Unit circle definitions 1

a cos (bx+c) + d Transformations

a sin (bx+c) + d Transformations

Unit circle definitions 2

Exact values (with degrees)

Timed O-test

True or false O-test

Exact values (with radians) 2

Exact values (with radians)

From circle to graph on a GDC

Transforming the sine graph

y=asin(bx+c)+d on GDC

a tan (bx+c) + d Transformations

Graphs of cosec, sec, cot

Recognising trig graphs

Recognising trig graphs 2

arcsin(ax), arccos(ax), arctan(ax)

Symmetries

Trig graph quiz

Find Derived Identity 2

Find Derived Identity 1

Identities 1

Identities 3

O-test

Randomized Exam Q 2007

Plotting O-test 1

Plotting O-test 2

Plotting O-test 3

Plotting O-test 4

Plotting O-test 5

Plotting O-test 6

Randomized Exam Q 2008

Randomized Exam Q 2008

Randomized Exam Q 2008

O-test 1

O-test 2

O-test 3

O-test 4

A graph

Quick test

An informal approach

An informal approach 2

Using tables of values

Using tables of values 2

Using tables of values 3

Using tables of values 4

Limits at infinity

Limits at infinity 2

Tables on a GDC

Basic rules

Using algebra

Using algebra 2

Rational functions 2

Rational functions

Rational functions 3

Rational functions 4

sin(x) / x

More trig limits

More trig limits 2

More trig limits 3

More trig limits 4

More trig limits 5

Introducing e

Using e

The Sandwich theorem

The Sandwich theorem 2

One and two-sided limits

One and two-sided limits 2

Formal definition of limits

Formal definition of limits 2

Quick test

Examples of continuity

Types of discontinuities

Jump discontinuities

The Intermediate value theorem

Removable discontinuities

Removable discontinuities 2

Point discontinuities

Formal definition of continuity

Formal definition of continuity 2

Testing for continuity

Testing for continuity 2

Testing for continuity 3

Testing for continuity 4

Continuity problem

Continuity problem 2

Continuity problem 3

Quick test

Investigate

Limits and asymptotes

Investigate 2

Investigate 3

Vertical asymptotes

Finding vertical asymptotes

Finding vertical asymptotes 2

Finding vertical asymptotes 3

Finding vertical asymptotes 4

Horizontal asymptotes

Horizontal asymptotes 2

Horizontal asymptotes 3

Horizontal asymptotes 4

Approaching asymptotes

Finding asymptotes

Finding asymptotes 2

Finding asymptotes 4

Finding asymptotes 3

Test question

Mindmap