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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 ax
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
Distance between 2 points
Midpoint
Coordinates and points
Observation O-test
Midpoint 2
Midpoint 4
Randomized Exam Q 2006
Distance between 2 points 2
Randomized Exam Q 2005
Distance between 2 points 3
Isosceles triangle
Vocabulary O-test
Sides of a triangle
Isosceles triangle 2
Parallelogram
Timed O-test
True or false O-test
O-test 1
O-test 2
O-test 3
O-test 4
Find the gradient
Find the gradient 2
The gradient using tan t
Collinear 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
Curve recognition
Asymptotes or not?
Quadratic denominator 3
Quadratic over quadratic 2
Quadratic over quadratic
Quadratic denominator
Introduction
Linear denominator 2
Plotting O-test 1
Sketch the graph
Plotting O-test 2
Randomized Exam Q 2000
Quadratic denominator 2
Using a GDC
Exam O-test
Randomized Exam Q 2010
Randomized Exam Q 2009
Randomized Exam Q 2009
Straight line recognition 3
Randomized Exam Q 2009
Finding equations
Equations in intercept form
Straight line recognition 2
ax+by+c=0
Practise
Match Lines (y=mx+c) to Points
Randomized Exam Q 2010
y-y1=m(x-x1)
Randomized Exam Q 2009
Randomized Exam Q 2011
Plot y=mx+c
Randomized Exam Q 2010
Randomized Exam Q 2010
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Randomized Exam Q 2014
Randomized Exam Q 2009
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O-test 2
Randomized Exam Q 2010
Introduction
Observation O-test
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 2004
Randomized Exam Q 2004
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Randomized Exam Q 2005
Randomized Exam Q 2014
Randomized Exam Q 2006
Randomized Exam Q 2006
Randomized Exam Q 2007
Finding parallel lines
Finding parallel lines 2
Randomized Exam Q 2006
Finding parallel lines 3
Randomized Exam Q 2006
Randomized Exam Q 2006
Randomized Exam Q 2007
Randomized Exam Q 2007
Randomized Exam Q 2007
Randomized Exam Q 2007
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Perpendicular gradients
Randomized Exam Q 2008
Perpendicular gradients 2
Randomized Exam Q 2008
Randomized Exam Q 2008
Right angles
Randomized Exam Q 2008
Finding perpendicular lines 2
Randomized Exam Q 2008
Finding perpendicular lines 3
Finding perpendicular lines 4
Randomized Exam Q 2008
Randomized Exam Q 2008
Randomized Exam Q 2008
O-test 4
Randomized Exam Q 2008
Randomized Exam Q 2008
Vocabulary O-test
Randomized Exam Q 2008
Finding lines - the method
Randomized Exam Q 2008
Linear graph quiz
True or false
True or false 2
True or false O-test 1
True or false O-test 2
Quiz
Quiz 2
Timed O-test
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
Randomized Exam Q 2009
Cubics using a GDC
y=(x-a)(x-b)(x-c)
Solving ax³+bx²+cx+d=0
y=ax³+bx²+cx+d
Randomized Exam Q 2009
Observation O-test
Plotting O-test 1
Plotting O-test 2
Identify the coefficients
O-test 1
Form the cubic
Factorising 2
Factorising 1
Randomized Exam Q 2006
Linear,quadratic,cubic
Randomized Exam Q 2007
O-test 2
True or false
True or false 2
Randomized Exam Q 2006
Randomized Exam Q 2008
Exam O-test
Randomized Exam Q 2009
Investigate Domain and Range
Domain and Range Introduction
Domain and range
Domain and range 2
O-test 1
O-test 2
Randomized Exam Q 2006
Randomized Exam Q 2008
Investigate Odd and Even Functions
Match Composite Functions 2
Explore Composite Functions 2
Randomized Exam Q 2011
Randomized Exam Q 2011
Function notation
Randomized Exam Q 2004
Randomized Exam Q 2009
Introduction
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
Matching O-test 1
O-test 6
Matching O-test 2
Randomized Exam Q 2007
Randomized Exam Q 2007
Randomized Exam Q 2007
Randomized Exam Q 2008
Randomized Exam Q 2008
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Exam O-test
Exam timed O-test
Randomized Exam Q 2010
Randomized Exam Q 2011
Randomized Exam Q 2010
Example 6
Randomized Exam Q 2010
Investigate Functions and Inverses
Example 1
Randomized Exam Q 2009
Randomized Exam Q 2009
Randomized Exam Q 2008
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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
Matching O-test
O-test 1
Randomized Exam Q 2006
O-test 2
O-test 3
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
Curve recognition
Quartics
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
Randomized Exam Q 2008
Plot Quadratics (y=(x-a)²+b)
Investigate Quadratic Roots
Min and max
More on y=(x-a)²+b
y=c(x-a)(x-b)
Plot Quadratics (y=(x-a)(x-b))
Plot Quadratics (y=ax²+bx+c)
O-test 2
O-test 1
Plotting O-test 2
True or false O-test 2
Basic shape
Observation O-test 1
Plotting O-test 1
Timed O-test
Observation O-test 2
Using a GDC
More on y=(x-a)(x-b)
Curve recognition
Axis of symmetry
Match Factors of Quadratic Curves
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 ex
The number e
Randomized Exam Q 2007
Randomized Exam Q 2011
Randomized Exam Q 2009
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
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Exam O-test 1
Exam O-test 2
Exam timed O-test 2
Timed O-test
Solving with a GDC 2
Solving with a GDC
The solution of ax=b
The graph of ax
The graph of ax 2
Plotting O-test
A joke
Exponential functions
Exponential equations
O-test
Graph of Log10 and its Transformations
Graph of log ax 2
Randomized Exam Q 2000
True or false O-test
a cos (bx+c) + d Transformations
a sin (bx+c) + d Transformations
The Sine/Cosine Curves
Unit circle definitions 1
Unit circle definitions 2
Timed O-test
Exact values (with degrees)
True or false O-test
Exact values (with radians)
Exact values (with radians) 2
From circle to graph on a GDC
y=asin(bx+c)+d on GDC
a tan (bx+c) + d Transformations
Graphs of cosec, sec, cot
Recognising trig graphs
arcsin(ax), arccos(ax), arctan(ax)
Recognising trig graphs 2
Symmetries
Trig graph quiz
Find Derived Identity 1
Find Derived Identity 2
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
Tables on a GDC
Limits at infinity 2
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