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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
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-y1=m(x-x1)
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
Randomized Exam Q 2003
Randomized Exam Q 2004
Randomized Exam Q 2004
Randomized Exam Q 2004
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
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
Randomized Exam Q 2007
Randomized Exam Q 2008
Randomized Exam Q 2008
Randomized Exam Q 2008
Randomized Exam Q 2008
Randomized Exam Q 2008
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
Randomized Exam Q 2007
Randomized Exam Q 2008
Randomized Exam Q 2008
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Randomized Exam Q 2008
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 ex
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
Randomized Exam Q 2008
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Randomized Exam Q 2008
Exam O-test 1
Exam O-test 2
Exam timed O-test 2
The solution of ax=b
Solving with a GDC
Timed O-test
Solving with a GDC 2
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
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