Pages: 371

HM3## XLatest Additions

8194Trigonometry : pcos A + qsin A : Visualise a cos x ± b sin x to cos

8193Differentiation : Trig functions : Visualise cos (x ± a) Addition Formulae

8192Differentiation : Trig functions : Visualise sin (x ± a) Addition Formulae

8187Exponentials and logs : Logarithms : Law: a log(b)=log(b

^{a})8186Exponentials and logs : Logarithms : Law: log(

^{a}/_{b})=log(a)-log(b)8184Exponentials and logs : Logarithms : Law: log(ab)=log(a)+log(b)

8131Exponentials and logs : Exponential growth & decay : Exam Question

8036Exponentials and logs : Logarithms : Exam Question

8015Exponentials and logs : Exponentials : Exam Question

8009Trigonometry : pcos A + qsin A : Exam Question

8008Exponentials and logs : Logarithms : Exam Question

7956Exponentials and logs : Logarithms & exponentials : Exam Question

7928Exponentials and logs : Logarithms : Exam Question

7903Exponentials and logs : Exponential growth & decay : Exam Question

7899Trigonometry : pcos A + qsin A : Exam Question

Graph of e

^{x}Transformations

Transformations 2

The number e

Plotting O-test 1

Plotting O-test 2

Matching O-test 1

Randomised Exam Q 2010

Discrete growth

Discrete decay

Football crowds

Music fans

Continuous growth

Radioactive half-life

Radioactive half-life 2

Elephant population

Computer prices

Spread of infection

Investments

O-test

Exam O-test 1

Exam O-test 2

Exam timed O-test 2

Randomised Exam Q 2005

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Solving equations 1

Solving equations 6

Solving equations 3

Match Composite Exp/Log Functions

Graph of ln ax

Log bases

Log bases 2

Log bases 3

The laws of logs

The laws of logs 2

The laws of logs 3

Memorise the laws of logs

Simplifying

Simplifying 2

Simplifying 3

Simplifying 4

Convert to Y=aX+b

Convert from Y=aX+b

Law: log(

^{a}/_{b})=log(a)-log(b)Law: a log(b)=log(b

^{a})Law: log(ab)=log(a)+log(b)

Solving equations 2

Solving equations 4

Solving equations 5

Solving equations 7

Solving equations 8

Solving equations 9

Solving equations 10

Check the method

Solving on a GDC

Quiz

Quiz

Timed O-test

Plotting O-test 1

Plotting O-test 2

True or false O-test 1

Sequence O-test 1

Sequence O-test 2

Plotting O-test 3

True or false O-test 2

Matching O-test

Plotting O-test 3

Plotting O-test 4

Matching O-test 2

Exam O-test 1

Exam O-test 2

Exam O-test 3

O-test 1

O-test 2

Exam timed O-test

Exam O-test 1

Exam O-test 2

Randomised Exam Q 2000

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Review the rules

Equations

Equations 2

Equations 3

Equations 4

Equations 5

Simultaneous equations

Inequations

O-test 2

O-test 1

Exam O-test 1

Exam O-test 2

Exam O-test 3

Exam O-test 4

Exam timed O-test 1

Randomised Exam Q 2000

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Using logs

Using logs 2

Using logs 3

Using logs 4

Randomised Exam Q 2008

Understand vectors in two and three dimensions. Learn about: Magnitude of a vector, algebraic operations of vector addition and multiplication by scalars, and their geometrical interpretations, position vectors, the distance between two points, the scalar product and angles between vectors.

Types of vectors

Unit vectors

Vector addition

a-b and b-a

Vector subtraction

Multiplication by a scalar

Magnitude

Equations of lines

O-test 1

O-test 3

Randomised Exam Q 2008

Visualising 3D vectors

Planes 1

Planes 2

Planes 3

Coordinates 1

Coordinates 2

Coordinates 3

3D Vectors

Distance

Distance 2

Pyramid

Prism

Observation O-test

O-test 1

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

O-test

Magnitude 4

2D add and subtract

Distance between two points

2D add and subtract 2

3D add and subtract

Multiplication by a scalar 2

Unit vectors 2

Unit vectors

The section formula

Unit vectors 3

Area of a triangle

Area of a triangle 2

Vector to cartesian form

Scalar product

Angle between vectors

Angle between vectors 2

Perpendicular vectors

Perpendicular vectors 2

Perpendicular vectors 3

Perpendicular vectors 4

Collinear points

Memorise the formulae

Diagonals of a parallelogram

Sequence O-test

O-test 1

O-test 2

O-test 5

O-test 6

O-test 7

O-test 8

Exam O-test 2

Exam O-test 4

Exam O-test 5

Randomised Exam Q 2000

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Circle theorem

The cosine rule

The orthocentre

Tetrahedron

Parallelogram

Rhombus

Pythagoras

Tractor

A pleasure boat

Two boats

Two people

Two submarines

O-test 1

O-test 9

Adding trig functions

Visualise a cos x ± b sin x to cos

Visualise a sin x ± b cos x to sin

Rcos(x+a)

Rsin(x+a)

Application 1

Application 2

Application 3

Application 4

O-test

Exam O-test 1

Exam O-test 2

Exam timed O-test

Randomised Exam Q 2001

Randomised Exam Q 2002

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Explanation

Explanation 2

The chain rule

Investigate the chain rule

(ax+b)ⁿ 2

(ax+b)ⁿ

The chain rule 2

The chain rule 3

The chain rule 4

The chain rule 5

The chain rule 6

Finding gradients

Finding gradients 2

Matching O-test

Sequence O-test 1

Sequence O-test 2

Exam timed O-test

Randomised Exam Q 2006

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Investigate Trig Differentiation

Finding tangents 2

Finding tangents 1

Tangents and Chords of Trig Functions

Visualise sin (x ± a) Addition Formulae

Visualise cos (x ± a) Addition Formulae

Tangent and normal 2

sin kx

cos kx

Examples

Examples 2

Examples 3

Finding tangents 3

Differentiation on a GDC

Pattern A 1

Pattern A 2

Pattern A 3

Pattern B 1

Pattern B 2

Pattern B 3

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

O-test

Randomised Exam Q 2009

Investigate Trig Integration

sin x and cos x

tan x and cot x

sin ax and cos ax

sin ax and cos ax 2

tan ax and cot ax

Other trig functions

Other trig functions 2

Other trig functions 3

Definite integrals

Definite integrals 2

Using a GDC

Matching O-test

Randomised Exam Q 2008

Mindmap

True or false: f(x+y)=f(x)+f(y)?

True or false: f(x×y)=f(x)×f(y)?