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AM1## XLatest Additions

8063Algebra and Functions : Functions and inverses : Self Inverse O-Test

8049Algebra and Functions : Partial fractions : Graphs 1

8029Algebra and Functions : Functions and inverses : Exam Question

8018Integration : Substitution method : Exam Question

8012Integration : Substitution method : Exam Question

8011Algebra and Functions : Transformations : Exam Question

8010Algebra and Functions : Modulus graphs : Exam Question

8007Differentiation : Rules - the product rule : Exam Question

8001Integration : Volume of revolution : Exam Question

7999Integration : Substitution method : Exam Question

7995Algebra and Functions : Partial fractions : Exam Question

7991Differentiation : Trig functions : Exam Question

7990Differentiation : Rules - the quotient rule : Exam Question

7988Differentiation : e

^{x}: Exam Question7986Algebra and Functions : Transformations : Exam Question

Using (a+b)

^{n}Permutations

Factorials 2

Factorials 3

Factorials 4

nCr

nCr 2

nCr 3

nCr 4

nCr 5

nCr 6

nCr 7

(1+x)

^{n}(a+b)

^{n}(a+b)

^{n}2(a+b)

^{n}3(a+b)

^{n}4(a+b)

^{n}5(a+b)

^{n}7Timed O-test

O-test 2

O-test 1

True or false O-test

Exam O-test 1

Exam O-test 2

Exam O-test 3

Exam O-test 4

Exam O-test 5

Exam timed O-test

Randomised Exam Q 2000

Randomised Exam Q 2000

Randomised Exam Q 2001

Randomised Exam Q 2002

Randomised Exam Q 2003

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Randomised Exam Q 2014

Investigate Functions and Inverses

Example 6

Example 1

Example 3

Example 4

Example 5

Verify inverses

Inverses on a GDC

True or false

Self Inverse O-Test

O-test 1

Matching O-test

O-test 2

O-test 3

Exam O-test 1

Exam O-test 2

Exam O-test 3

Randomised Exam Q 2000

Randomised Exam Q 2004

Randomised Exam Q 2005

Randomised Exam Q 2006

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More modulus graphs

y=m|x|+c

y=|f(x)| and y=f(|x|) 2

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

More modulus graphs 2

y=ax³+bx²+cx+d & y=f(|x|)

y=|ax³+bx²+cx+d|

y=|mx+c|

y=|mx+c|+b

y=|ax²+bx+c|

y=|m(x+c)|

Modulus equations 1

Modulus equations 2

Modulus equations 3

Modulus equations 4

Modulus equations 5

Modulus equations 6

Modulus equations 7

Modulus equations 8

Modulus equations 9

Plotting on a GDC

Modulus graph quiz

Plotting O-test 1

Plotting O-test 2

True or false O-test

O-test 1

O-test 2

Exam O-test

Randomised Exam Q 2000

Randomised Exam Q 2003

Randomised Exam Q 2003

Randomised Exam Q 2004

Randomised Exam Q 2006

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Assessment

Graphs 1

Graphs 2

Graphs 3

Graphs 4

Graphs 5

Two linear factors

Two linear factors 2

Two linear factors 3

3 linear factors

3 linear factors 2

Repeated factor

Repeated factor 2

Polynomial division

Polynomial division 2

Top and bottom same degree

Top higher degree

The "cover-up" method

"Cover-up" 2

"Cover-up" 3

True or false quiz

O-test 1

O-test 2

Matching O-test

O-test 3

O-test 4

Exam O-test 1

Exam O-test 2

Exam timed O-test 1

Exam timed O-test 2

Randomised Exam Q 2000

Randomised Exam Q 2003

Randomised Exam Q 2003

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Simplifying

Simplifying 2

Adding and subtracting

Multiplying and dividing

Adding and subtracting 2

Undefined functions

Quotient & remainder

Quotient & remainder 2

Quotient & remainder 3

Quotient & remainder 4

Quotient & remainder 5

True or false

Exam O-test 1

Exam O-test 2

Exam O-test 3

Exam timed O-test

Randomised Exam Q 2000

Randomised Exam Q 2000

Randomised Exam Q 2001

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Using a GDC

Using a GDC 2

Trig Graphs Video

Spot the transformation 3

Spot the transformation 4

Spot the transformation 2

Cubic Graph Transformations

Investigate Transformation: y=f(x)+d

Investigate Transformation: y=f(x+c)

Investigate Transformation: y=f(bx)

Investigate Transformation: y=af(x)

The Sine/Cosine Curves

Investigate Transformations: y=f(x+c)+d

Investigate Transformations: y=af(bx)

Investigate Transformations: y=af(x)+d

Investigate Transformations: y=af(x+c)

Investigate Transformations: y=f(bx)+d

Investigate Transformations: y=f(bx+c)

Describe the transformation

Describe the transformation 2

Describe the transformation 3

Describe the transformation 4

Describe the transformation 5

Construct the transformation

Construct the transformation 2

Construct the transformation 3

Order of Transformations 1

Order of Transformations 2

Transformations on a GDC

Transformations on a GDC

Exam O-test 2

Exam O-test 3

Randomised Exam Q 2006

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XTRA 1

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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Differentiability

Differentiability 2

Differentiability 3

Differentiability 4

Randomised Exam Q 2008

Gradients of ln ax

Investigate Differentiation of ln ax

By first principles

Differentiation of ln ax

ln (ax+b)

Finding tangents

Differentiation of x

^{r}Exam O-test

Randomised Exam Q 2000

Randomised Exam Q 2003

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Investigate Log/Exp Differentiation Together

Examples

True or false

Matching O-test

Sequence O-test

Exam O-test

Randomised Exam Q 2006

Randomised Exam Q 2006

Randomised Exam Q 2007

Randomised Exam Q 2008

Some 1st and 2nd Derivatives

Assessment

Memorise the rules

Logical order

dy/dx = 1/dx/dy

Verify dy/dx = 1/dx/dy

Spot the method

True or false

True or false 2

True or false 3

Matching O-test

Matching O-test

O-test

Exam O-test 1

Exam O-test 2

Exam timed O-test

Randomised Exam Q 2000

Randomised Exam Q 2003

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Exam O-test 1

Exam O-test 2

Randomised Exam Q 2007

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

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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

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More trig functions

sin x by first principles

cos x by first principles

Derivative puzzles

tan and cot

sec and cosec

True or false O-test

Exam O-test 1

Exam O-test 2

Randomised Exam Q 2004

Randomised Exam Q 2006

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MIT video: products,quotients

MIT video: chain rule

MIT video: implicit differentiation

MIT video: implicit differentiation 2

MIT video: exponentials & logs

Xtra 1

Investigate Motion Calculus

Velocity & acceleration

Changing direction

Two particles

A cyclist

Velocity & acceleration 2

A ball

Distance travelled

Test tube

Bouncing ball

Using integration

Using integration 2

Two boats

Acceleration

Acceleration 2

Acceleration 3

A motorbike

A rocket

A racing car

An insect

A particle

A particle 2

A particle 3

Using a GDC

Observation O-test 1

Observation O-test 2

O-test 1

Exam O-test 1

Exam O-test 2

Exam O-test 3

Randomised Exam Q 2005

Randomised Exam Q 2006

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Investigate Integration of

^{1}/_{ax}1/(ax)

1/(ax) with limits

1/(ax+b)

1/(ax+b) with limits

Definite integral

Exam O-test

Exam timed O-test

Randomised Exam Q 2007

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2009

Left-hand, Right-hand method

Left-hand rule

Right-hand rule

Left and Right-hand rules

Horizontal slices

Horizontal slices 2

Horizontal slices 3

Horizontal slices 4

Investigate Integration of e

^{ax}Definite integral 1

e

^{ax+b}Definite integral 2

Definite integral 3

Matching O-test

Exam timed O-test

Randomised Exam Q 2004

Randomised Exam Q 2007

Randomised Exam Q 2007

Randomised Exam Q 2009

Randomised Exam Q 2010

Exam O-test

Exam timed O-test

Randomised Exam Q 2007

Randomised Exam Q 2008

Randomised Exam Q 2008

Trig substitution

Tan x substitution

Log substitution

Visualizing 2

Assessment

Visualizing

Linear substitutions

Linear substitutions 2

Linear substitutions 3

Quadratic substitution

Power substitution

Trig substitution 2

Trig substitution 3

Trig substitution 4

Trig substitution 5

Square roots

Square roots 2

Square roots 3

Square roots 4

More examples

Exam O-test 1

Exam O-test 2

Exam O-test 3

Exam O-test 4

Exam timed O-test 1

Exam timed O-test 2

Randomised Exam Q 2000

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Using identities

Exam O-test

Exam timed O-test

Randomised Exam Q 2007

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Area and volume

Investigate

Investigate 2

Example 1

Example 2

Example 3

Example 4

Volumes using a GDC

O-test

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

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Definition

Definition 2

Row operations

Row operations 2

Row operations 3

Row operations 4

Find a row operation

Find a row operation 2

Find a row operation 3

Convert to row echelon form

Reduced row echelon form

Using row echelon form

Inconsistent equations

Infinitely many solutions

Ill-conditioned equations

Ill-conditioned 2

Ill-conditioned 3

Augmented matrices on a GDC

O-test

Randomised Exam Q 2006

No solutions

Unique solutions

Infinitely many solutions

Infinitely many solutions 2

Infinitely many solutions 3

Solving with a GDC

Exam O-test

Randomised Exam Q 2006

Randomised Exam Q 2007

Randomised Exam Q 2008

Mindmap