|
|
![]() |
AS/A2 Pure 2 Pure 3 |
| symbols | |||
| sets, functions, operators | |||
| key terms | |||
| proof 1 | |||
| proof 2 | |||
| proof 3 | |||
| proof 4 | |||
| proof 5 | |||
| fallacy 1 | |||
| fallacy 2 | |||
| Indices: | the laws of indices | ||
| simplifying indices | |||
| Functions: | functions | OCR WJEC P2 | |
| domain and range | |||
| Surds: | simplify a surd | ||
| multiply surds | |||
| rationalise the denominator | |||
| Quadratic functions: | expanding brackets 1 | ||
| expanding brackets 2 | |||
| practise expanding brackets | |||
| factorising 1 | |||
| factorising 2 | |||
| practise factorising | |||
| the factor theorem 1 | AQA OCR WJEC P2 | ||
| the factor theorem 2 | AQA OCR WJEC P2 | ||
| AQA OCR WJEC P2 | |||
| AQA OCR WJEC P2 | |||
| the discriminant | |||
| completing the square 1 | |||
| completing the square 2 | |||
| practise completing the square | |||
| Quadratic curves: | y=ax2+bx+c | ||
| y=(x-a)(x-b) | |||
| more on y=(x-a)(x-b) | |||
| y=c(x-a)(x-b) | |||
| y=(x-a)2+b | |||
| curve recognition 1 | |||
| curve recognition 2 | |||
| minimums and maximums and completing the square. | |||
| using graphs to solve equations | |||
| solution of simultaneous equations | |||
| Identities | equating coefficients 1 | ||
| equating coefficients 2 | |||
| long division 1 | |||
| long division 2 | |||
| Solving quadratic equations by: | completing the square | ||
| using the formula | |||
| Inequalities | linear inequalities | ||
| solving linear inequalities | |||
| quadratic inequalities | |||
| solving quadratic inequalities | |||
| Summary | a quick test on algebra | ||
| problem P1.1 | |||
| problem P1.2 | |||
| Radians | degrees to radians | AQA OCR P2 | |
| radians to degrees | AQA OCR P2 | ||
| match them up | AQA OCR P2 | ||
| arc length | AQA OCR P2 | ||
| area of sector | AQA OCR P2 | ||
| AQA OCR P2 | |||
| AQA OCR P2 | |||
| AQA OCR P2 | |||
| AQA OCR P2 | |||
| AQA OCR P2 | |||
| Trig functions | unit circle definitions 1 | ||
| unit circle definitions 2 | |||
| exact values | |||
| from circle to graph | |||
| the graph of y=a sin[bx + c] + d | |||
| transforming the sine graph | |||
| Trig equations | inverse trig functions | ||
| graphs of inverse trig functions | |||
| the CAST diagram | |||
| solving sine equations 1 | |||
| solving sine equations 2 | |||
| solving cosine equations 1 | |||
| solving cosine equations 2 | |||
| solving tangent equations | |||
| Trig identities | unscramble 1 | ||
| memorise them | |||
| Coordinates | coordinates and points | ||
| the mid-point | |||
| Gradient | the gradient between two points | ||
| the line between two points | |||
| Graphs of straight lines | y=mx+c | ||
| y-y1=m(x-x1) | |||
| practise using y-y1=m(x-x1) | |||
| ax + by + c=0 | |||
| parallel and perpendicular | |||
| perpendicular distance | |||
| straight line summary | |||
| line recognition 1 | |||
| line recognition 2 | |||
| analysis | |||
| Formulae | summary | ||
| memorise them | |||
| The idea of limit | limit | OCR P2 | |
| Arithmetic series | what they look like | OCR P2 | |
| the nth term | OCR P2 | ||
| OCR P2 | |||
| OCR P2 | |||
| OCR P2 | |||
| OCR P2 | |||
| OCR P2 | |||
| Geometric series | what they look like | OCR P2 | |
| investigate | OCR P2 | ||
| OCR P2 | |||
| OCR P2 | |||
| OCR P2 | |||
| OCR P2 | |||
| OCR P2 | |||
| Summation notation | understanding it | OCR P4 | |
| using it | OCR P4 | ||
| OCR P4 | |||
| The formulae | get to know them | OCR P2 | |
| match them | OCR P2 | ||
| memorise them | OCR P2 | ||
| Slope | straight v. curved | ||
| the slope of y = x2 | |||
| the slope of y = x3 | |||
| tangents and chords | |||
| x2-3x+2 | |||
| x3-x2 | |||
| x4-x3-x | |||
| choose your own curve | |||
| gradient curves | |||
| Differentiation | first principles (function notation) | Not examined | |
| first principles (delta notation) | Not examined | ||
| Basic rules | differentiation of xn | ||
| differentiation of simple functions | |||
| differentiate expressions | |||
| differentiate rational functions | |||
| check the steps | |||
| match the derivatives | |||
| Higher derivatives | second order derivatives | AQA P2 | |
| 1st and 2nd derivatives | AQA P2 | ||
| AQA P2 | |||
| Curves | increasing functions | AQA P2 | |
| decreasing functions | AQA P2 | ||
| differentiation and graphs | AQA P2 | ||
| tangents and normals | AQA P2 | ||
| AQA P2 | |||
| AQA P2 | |||
| Stationary points | maxima and minima | ||
| points of inflection | |||
| Basic rules | the reverse of differentiation | ||
| integration of xp | |||
| integration of simple functions | |||
| Definite integration | the notation | ||
| check the steps | |||
| The formulae | |||
| true or false 1 | |||
| true or false 2 | |||
| A quick test | |||
| Credits | |||||
| =Javamath graphs | =WebEQ equations | =HotEqn equations | |||
| =Cinderella graphs | =JavaScript | =other Java applets | |||
| =PGC graphic calculator | =Hot Potatoes dynamic HTML | =Flash | |||
| © Mathsnet 2003 | |||||