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D## XLatest Additions

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

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

8169Differentiation : Implicit differentiation : Exam Question

8167Differentiation : e

^{x}: Exam Question8157Differentiation : Trig functions : Exam Question

8147Differentiation : First principles : Exam Question

8143Dynamics : Collisions : Exam Question

8132Differentiation : Implicit differentiation : Exam Question

8123Differentiation : Curves : Exam Question

8115Discrete Random Variables : Distributions : Exam Question

8111Discrete Random Variables : Uniform Distribution : Exam Question

8108Differentiation : Parametric differentiation : Exam Question

8107Differentiation : Rules : Exam Question

8102Differentiation : Implicit differentiation : Exam Question

8100Differentiation : Rules - the quotient rule : Exam Question

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

O-test 1

O-test 2

Timed O-test 1

O-test 3

Rounding off 1

Rounding off 2

Rounding off 3

Significant figures 1

Approximate answers 1

Approximate answers 2

Approximate answers 3

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

Example 10

Example 11

Example 12

Example 13

Example 14

Example 15

Example 16

Example 17

Example 18

Example 19

Example 20

Example 21

Ordering O-test 1

Ordering O-test 2

Ordering O-test 3

O-test 4

Timed O-test 2

Timed O-test

Example 26*

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

Example 10

Example 11

Example 12

Example 13

Example 14*

Example 15

Example 16

Example 17

Example 18

Example 19

Example 20

Example 21

Example 22

Example 23

Example 24*

Example 25

Example 27*

Example 28*

Example 29*

Example 30*

Example 31*

Example 32*

Example 33*

Money wall O-test 1

Money wall O-test 2

O-test 1

O-test 2

O-test 3

O-test 4

O-test 5

O-test 6

O-test 7

What I'd do...

Divide integers by powers of 10

Divide decimals by powers of 10

Column multiplication

Number machine 1

Number machine 2

Short division

Number wall O-test 1

Number wall O-test 2

Multiple choice O-test

Timed O-test 1

Timed O-test 2

Timed FT O-test

Estimation and calculation

Observation and calculation

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

Example 10

O-test

Timed O-test

Mistake 1

Mistake 2

Mistake 3

Multiple choice O-test

Ordering O-test 1

Ordering O-test 2

Ordering O-test 3

Ordering O-test 4

Arithmagon O-test

Column addition

Magic square O-test 1

Magic square O-test 2

Magic square O-test 3

Number wall O-test 1

Number wall O-test 2

Number wall O-test 3

Number wall O-test 4

Example 1

Definition

O-test 1

Example 1

Example 2

Example 3

Example 4

Example 5

O-test 1

The dot notation

Decimals Example 1

Recurring decimals 1

Terminating decimals as fractions

Fractions to decimals

Recurring decimals 2

Recurring decimals 3

Recurring decimals 4

Example 1

Example 2

Example 3

Example 4

Example 5

Example 2

Example 3

Example 4

O-test 1

O-test 2

Randomised Exam Question

Randomised Exam Question

Randomised Exam Question

Solving d.e.s

Solving d.e.s 2

Solving d.e.s 3

Solving d.e.s 4

Solving d.e.s 5

Randomised Exam Question

Definition

Generating transforms

Generating transforms 2

Generating transforms 3

Higher derivatives

Generating transforms 4

O-test 4

Finding tangents 2

Exam O-test 1

The gradient curve

Tangents 1

Tangents 2

Tangents 3

Evaluating the gradient

Evaluating the gradient 3

Evaluating the gradient 2

Evaluating the gradient 4

Finding tangents 1

Finding tangents 3

Finding tangents 4

Finding tangents 5

Finding tangents 6

Check the method

Timed O-test

O-test 1

Method O-test

O-test 2

Finding normals

Finding normals 2

Finding normals 3

Finding normals 4

Finding normals 5

Gradient on a GDC

Gradient on a GDC 2

Vocabulary O-test

O-test 3

Exam O-test 2

Exam O-test 3

Exam O-test 4

Exam O-test 5

Randomised Exam Q 2002

Randomised Exam Q 2004

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Approximating square roots

Approximating cube roots

Approximating powers

Trig approximations

Trig approximations 2

Small changes to a circle

Small changes to a sphere

Small changes to a cube

Small changes to a triangle

Small changes to a tank

By first principles

Gradients of a

^{x}Gradients of a

^{x}and e^{x}Differentiation of e

^{x}Examples

Finding tangents

Exam O-test 1

Randomised Exam Q 2000

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Randomised Exam Q 2004

Randomised Exam Q 2006

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x

^{n}and n^{x}a

^{x}a

^{bx}Exam O-test 2

Exam timed O-test

Randomised Exam Q 2007

Randomised Exam Q 2007

Randomised Exam Q 2007

Randomised Exam Q 2009

Randomised Exam Q 2011

Approximate gradient

Approximate gradient 2

Investigate

Tangents and Chords of Polynomials

Function notation

Function notation 2

Function notation 3

Function notation 4

Function notation 5

Function notation 6

Delta notation

Differentiability

Differentiability 2

Differentiability 3

Differentiability 4

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2009

Randomised Exam Q 2015

Simple d.e.s

Exponential growth

Gradient

Gradient 2

Gradient 3

Gradient 4

Gradient 5

Gradient 6

Leaking water tank

O-test

An expanding cube

Fish

Population

Newton's law of cooling

Randomised Exam Q 2008

Investigate 1st & 2nd Derivatives 2

Investigate 1st & 2nd Derivatives

Second order derivatives

Exam O-test

Randomised Exam Q 2000

Randomised Exam Q 2007

Randomised Exam Q 2007

Arc sinh and arc cosh 2

More on Sinh and cosh

Tanh x 2

Sinh and cosh

Arc tanh x 2

Tangents and Chords of Hyperbolic Functions

Tangent and normal

Tanh x

Sinh ax and cosh ax

Differentiation 2

Differentiation

Differentiation 3

Finding tangents

Arc sinh and arc cosh

Finding normals

Arc tanh x

Derivative of arc sinh

Derivative of arc cosh

Derivative of arc tanh

Exam O-test

Randomised Exam Q 2005

Randomised Exam Q 2006

Assessment

Finding tangents

Example 1

Example 2

Example 3

Example 4

O-test

Example 5

Example 6

Example 7

Other variables

Finding a gradient

Finding tangents 2

Finding normals 2

Finding normals

Exam O-test 1

Exam O-test 2

Exam O-test 3

Exam timed O-test 1

Exam timed O-test 2

Randomised Exam Q 2003

Randomised Exam Q 2004

Randomised Exam Q 2004

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Investigate Increasing Functions

Decreasing f(x) = 3 - 3 to x

Increasing f(x) = 2 to x + 1

Increasing f(x) = log(x)

Prove an increasing function

Prove an increasing function 2

Decreasing f(x) = 1 - x - x to 3

A decreasing function 3

Increasing or Decreasing ?

Increasing and decreasing

Increasing and decreasing 2

Exam O-test

Randomised Exam Q 2000

Randomised Exam Q 2007

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Rugby kick

Investigate Derivatives of Arcsin, Arccos, Arctan

Derivative of arc sin

Derivative of arc cos

Derivative of arc tan

Compare function & inverse

Standard results

Exam O-test

Randomised Exam Q 2002

Randomised Exam Q 2007

Randomised Exam Q 2008

Randomised Exam Q 2008

Exam O-test

Quadratic

Quadratic 2

Cubic

Quartic

Higher powers

Randomised Exam Q 2008

Randomised Exam Q 2008

Exam O-test

Gradients of ln ax

Investigate Differentiation of ln ax

By first principles

Differentiation of ln ax

ln (ax+b)

Differentiation of x

^{r}Finding tangents

Randomised Exam Q 2000

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Investigate Log/Exp Differentiation Together

Examples

Matching O-test

Sequence O-test

True or false

Exam O-test

Randomised Exam Q 2006

Randomised Exam Q 2006

Randomised Exam Q 2007

Randomised Exam Q 2008

Finding tangents

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Illustrating tangents

Example 7

Higher derivatives

Finding normals

Higher derivatives 2

Finding normals 2

O-test

Exam O-test 1

Exam O-test 2

Exam timed O-test

Randomised Exam Q 2000

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How to solve...

Example 1

A sand problem

Example 2

Example 3

Example 4

Expanding cube

An expanding stain

Filling a water tank

Hot air balloon

Circle

Exam O-test 2

Exam O-test 1

Exam timed o-test

Randomised Exam Q 2006

Randomised Exam Q 2006

Randomised Exam Q 2008

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Basic functions

Matching O-test

Assessment

Some 1st and 2nd Derivatives

Differentiate x

^{n}Differentiate simple functions

Differentiate products

Differentiate quotients

Check the steps

Timed O-test

O-test 1

True or false O-test

Matching O-test

Sequence O-test 1

Sequence O-test 2

Matching O-test

Sequence O-test 3

Memorise the rules

Logical order

dy/dx = 1/dx/dy

2nd order derivatives

Verify dy/dx = 1/dx/dy

2nd order derivatives 2

True or false

2nd order derivatives 3

Spot the method

2nd order derivatives 4

True or false 2

True or false 3

Matching O-test

Derivative puzzles

Rational powers

Rational powers 2

Rational powers 3

O-test

O-test 2

O-test 3

O-test 4

Exam O-test 1

Exam O-test 2

Exam O-test 1

Exam O-test 2

Exam O-test 3

Exam O-test 4

Exam timed O-test

Randomised Exam Q 2000

Randomised Exam Q 2003

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The chain rule

Explanation

Investigate the chain rule

Explanation 2

(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 O-test 1

Exam O-test 2

Exam timed O-test

Randomised Exam Q 2006

Randomised Exam Q 2006

Randomised Exam Q 2007

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Visualise the Product Rule

Investigate

The product rule

The product rule 2

The product rule 3

The product rule 4

The product rule 5

Finding gradients

Finding gradients 2

Finding gradients 3

Finding tangents

Finding normals

Sequence O-test

Exam O-test 1

Exam O-test 2

Exam O-test 3

Randomised Exam Q 2007

Randomised Exam Q 2007

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Finding gradients

Visualise the Quotient Rule

Investigate

The quotient rule

The quotient rule 2

The quotient rule 3

Finding turning points

Exam O-test 1

Exam O-test 2

Exam O-test 3

Randomised Exam Q 2004

Randomised Exam Q 2005

Randomised Exam Q 2006

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Straight v curved

Investigate Quadratics

Investigate Higher Order Polynomials

Tangents and Chords

Investigate Cubics

Introduction

The graph of y = x²

The graph of y = x³

Constant multiplier

Sums and differences

Investigate with Negative Powers

Gradient curves

O-test 1

O-test 5

Randomised Exam Q 2013

View Maxima and Minima 2

O-test 3

The max-box problem 3

Finding turnings points

A minimising problem 2

The max-box problem 2

View Maxima and Minima

Investigate Points of Inflection

A minimising problem

Introduction

Maxima and minima

Axis of symmetry

Finding turnings points 2

O-test 1

Finding turnings points 3

Finding turnings points on a GDC

A maximising problem

Method O-test

A maximising problem 4

The max-box problem

A minimising problem 3

A minimising problem 4

A minimising problem 5

O-test 2

Quiz

Exam O-test 1

Exam O-test 2

Exam O-test 3

Exam O-test 4

Exam timed O-test

Randomised Exam Q 2000

Randomised Exam Q 2000

Randomised Exam Q 2001

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Quick test

Investigate

Investigate 2

Problem 1

Problem 2

Problem 3

Problem 4

Rolle's Theorem

Rolle's Theorem 2

Rolle's Theorem 3

Rolle's Theorem 4

Finding tangents 2

Finding tangents 1

Investigate Trig Differentiation

Tangents and Chords of Trig Functions

Visualise sin (x ± a) Addition Formulae

Tangent and normal 2

Visualise cos (x ± a) Addition Formulae

sin x by first principles

More trig functions

cos x by first principles

sin kx

cos kx

Examples

Examples 2

Examples 3

Derivative puzzles

tan and cot

sec and cosec

True or false O-test

Finding tangents 3

Differentiation on a GDC

Exam O-test 1

Exam O-test 2

Randomised Exam Q 2004

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Randomised Exam Q 2015

Xtra 1

M.I.T. video on methods

MIT video: differentation

MIT video: limits

MIT video: products,quotients

MIT video: chain rule

MIT video: implicit differentiation

MIT video: implicit differentiation 2

MIT video: limits

MIT video: exponentials & logs

Constant acceleration

Checking for consistency

A pendulum

Speed

Terminal velocity

Vibration

Viscous liquid

Resistance

Newton's Law of Gravitation

Randomised Exam Q 2007

Randomised Exam Q 2007

Randomised Exam Q 2008

Match them up

Summary

Finding quantities

Cabling

Pens

Card

Square

Cube

Using a graph for direct proportion

Example 1

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

O-test 1

O-test 1

O-test 2

O-test 2

Finding quantities

Cleaning a school

Digging a hole

Inverse square

Using a graph for inverse proportion

Example 1

Example 1

Example 2

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

O-test 1

O-test 1

O-test 2

O-test 2

O-test 3

Definition of Bernoulli Trial

Example 1

Probability distributions

Cumulative distribution

Example 2

Example 3

Example 4

Probabilities

Find the distribution

Exam O-test

Randomised Exam Q 2000

Randomised Exam Q 2001

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2014

Fairground game

Fairground game 2

Exam O-test 1

Randomised Exam Q 2005

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2009

Find the variance

Find the expectation

Expectation

Mean and variance

More on expectation

Linear functions

Timed O-test

Linear functions 2

O-test

Using a GDC

Exam O-test 2

Exam O-test 3

Exam timed O-test

Randomised Exam Q 2000

Randomised Exam Q 2001

Randomised Exam Q 2001

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Computer game

TV quiz

Darts

Darts 2

Random variable

Expectation

Expectation 2

Expectation 3

Variance

Exam O-test

Randomised Exam Q 2006

Randomised Exam Q 2007

Randomised Exam Q 2007

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Definition

Expectation and variance

Expectation and variance 2

Definition

Expectation and variance

Expectation and variance 2

A basic example

The dice experiment

Expectation and variance

Expectation and variance 2

O-test

Randomised Exam Q 2014

Composite bar chart

Exam O-test

Eye colour

Hair colour

Dual bar chart

Spain v. Florida

Example 1

Example 2*

O-test

Elephant tusks

How to...

Heights of girls

Supermarket customers

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

O-test 1

O-test 2

O-test 3

Exam O-test

Display your own line of best fit

Investigate basic charts

Display your own bar chart 2

Display your own pie chart

Display your own bar chart 1

Display your own scatter graph

Investigate

Example 1

Parsnips

Puzzle

How to (Cumulative Frequency) ...

New tyres

Example 1

Example 2

Example 3

Example 4

O-test 1

O-test 2

O-test 3

O-test 4

Luggage

Example 1

Example 2

Example 3

O-test

How to...

The method

The method 2

The method 3

Finding the median

Example 1

Example 2

Example 3

O-test 1

O-test 2

O-test 3

O-test 4

O-test 5

How to...

Example 1

Example 2

O-test

Exam O-test

Scotland and the Midlands

The South

The North

Ireland

Europe

O-test

Cars

Phone calls

Letters

Example 1

O-test 1

O-test 2

How to... 1

Destinations

How to... 2

Nationalities

Bicycles

Flavours of crisps

The Water Company

Musicians

Happiness

Houses

Complaints

Types of fuel

Example 1

Example 2

Example 3

Example 4

Exam O-test 1

Exam O-test 2

Exam O-test 3

Exam O-test 4

How to (Scatter Graph) ...

Potato crop

Hours of sleep

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

Example 10

Example 11

Example 12

Exam O-test

O-test 1

O-test 2

Mistake 1

Mistake 2

Mistake 3

How to...

Market research

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

Example 10

Exam O-test

Example 1*

O-test 1

O-test 2

Multiple choice O-test

Passengers 1

Passengers 2

O-test

How to... 2

How to...

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

Example 10

Example 11

Example 12

Exam O-test

Triangle

Exam O-test

Do you know Europe?

Find the town

Orienteering

Example 1

Exam O-test 4

Inclined plane

Exam O-test 2

Exam O-test 3

Exam O-test 5

Exam O-test 6

Randomised Exam Q 2000

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Conservation of momentum

Conservation of momentum 2

Momentum

Momentum 2

Momentum 3

Bullet

Two trains

Cannon recoil

Impulse

Impulse 3

Impulse 2

Impulse 4

Cricket bowl

Train

Two particles

Two more particles

A gun

A cannon

Mallet and peg

O-test 1

O-test 2

Exam O-test 1

Exam O-test 1

Exam O-test 2

Exam O-test 2

Randomised Exam Q 2000

Randomised Exam Q 2001

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A pulley system

Simulation

Simulation 2

Car and trailer

Two connected particles

Two connected particles 2

Two connected particles 3

Two connected particles 4

Three connected particles

The necklace experiment

O-test

Exam O-test 4

Exam O-test 1

Exam O-test 7

Exam O-test 2

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Labelling diagrams 1

Labelling diagrams 2

Labelling diagrams

Labelling diagrams O-test

Force diagram

The laws

Weight and mass

Newton's second law

Force diagram 3

Force diagram 2

Force diagram 4

Force diagram 5

Using vectors

Vector forces

Falling through oil

A boy on a sledge

A descending lift

A stopping car

A sprinter

An ice skater

A helicopter

A spaceship

O-test 1

O-test 2

Exam O-test 1

Exam O-test 5

Exam O-test 2

Exam O-test 3

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Mindmap