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In specifications from OCR, WJFC and NICCEA a scientific calculator is allowed. AQA allows a graphic calculator.
The post 2004 version of this site is available at...
Interactive ASA2 - C1 Core
Notation
1. Proof
2. Algebra
3. Trigonometry
4. Coordinate geometry
5. Sequences and series
6. Differentiation
7. Integration
Summary & Examination papers
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Glossary of terms

A absolute value amplitude arccos arcsin arctan arithmetic mean arithmetic progression asymptote axis axes C calculus Cartesian coordinates chord circular measure coefficient constant collinear commutative completing the square coordinate cosine rule counter example cubic D definite integral derivative differentiation discontinuity discriminant E equation even function F factorisation factor theorem fraction function G geometric progression gradient graph I integer integration intercept intersection L linear local maximum local minimum locus N natural numbers normal O odd function origin P parallel periodic perpendicular plot point of inflexion polynomial Q quadrant quadratic R radian rationalise reciprocal S sine rule slope solution solve straight surd T tangent transformation translation trigonometry turning point V variable


return to topNotation
symbols webEQ interactive equations
sets, functions, operators webEQ interactive equations  
key terms a Java applet  
 
return to top1. Proof
proof 1 webEQ interactive equations
proof 2 webEQ interactive equations
proof 3 webEQ interactive equations
proof 4 Hot Potatoes
proof 5 Flash powered - you will need the Flash 5 plugin
fallacy 1 webEQ interactive equations
fallacy 2 webEQ interactive equations
 
return to top2. Algebra
Indices: the laws of indices webEQ interactive equations
simplifying indices webEQ interactive equations
exam question 2001 Hot Eqn
exam question 2002 Hot Eqn
exam question 2003 Hot Eqn
Functions: functions webEQ interactive equations OCR WJEC P2
domain and range Cinderella interactive graphs
Surds: simplify a surd webEQ interactive equations
multiply surds webEQ interactive equations
rationalise the denominator webEQ interactive equations
exam question Hot Eqn
Quadratic functions: expanding brackets 1 webEQ interactive equations
expanding brackets 2 Hot Eqn
practise expanding brackets JavaScript interactive pages
factorising 1 webEQ interactive equations
factorising 2 Hot Eqn
practise factorising JavaScript interactive pages
the factor theorem 1 Hot Eqn AQA OCR WJEC P2
the factor theorem 2 webEQ interactive equations AQA OCR WJEC P2
exam question 2002 Hot Eqn AQA OCR WJEC P2
exam question 2004 Hot Eqn AQA OCR WJEC P2
the discriminant JavaMath interactive graphs
completing the square 1 Hot Eqn
completing the square 2 webEQ interactive equations
practise completing the square JavaScript interactive pages
exam question 2001 Hot Eqn
exam question Hot Eqn
exam question 2002 Hot Eqn
exam question 2003 Hot Eqn
exam question 2004 Hot Eqn
Quadratic curves: y=ax2+bx+c JavaMath interactive graphs
y=(x-a)(x-b) JavaMath interactive graphs
more on y=(x-a)(x-b) plane graphic calculator
y=c(x-a)(x-b) JavaMath interactive graphs
y=(x-a)2+b plane graphic calculator
curve recognition 1 JavaScript interactive pages
curve recognition 2 JavaMath interactive graphs
minimums and maximums and completing the square. JavaMath interactive graphs
using graphs to solve equations JavaMath interactive graphs
solution of simultaneous equations JavaMath interactive graphs
exam question Hot Eqn
exam question Hot Eqn
exam question 2003 Hot Eqn
Identities equating coefficients 1 Hot Eqn
equating coefficients 2 Hot Eqn
long division 1 Hot Eqn
long division 2 Hot Eqn
Solving quadratic equations by: completing the square Hot Eqn
using the formula Hot Eqn
exam question 2003 Hot Eqn
Inequalities linear inequalities JavaMath interactive graphs
solving linear inequalities Hot Eqn
quadratic inequalities JavaMath interactive graphs
solving quadratic inequalities Hot Eqn
exam question 2002 Hot Eqn
exam question 2003 Hot Eqn
Summary a quick test on algebra JavaScript interactive pages
extended problem problem P1.1 JavaMath interactive graphs
problem P1.2 JavaMath interactive graphs
 
return to top3. Trigonometry
Radians degrees to radians Hot Eqn AQA OCR P2
radians to degrees Hot Eqn AQA OCR P2
match them up Hot Potatoes AQA OCR P2
arc length Hot Eqn AQA OCR P2
area of sector Hot Eqn AQA OCR P2
exam question 2001 Hot Eqn AQA OCR P2
exam question 2002 Hot Eqn AQA OCR P2
exam question 2003 Hot Eqn AQA OCR P2
exam question 2003 Hot Eqn AQA OCR P2
exam question 2004 Hot Eqn AQA OCR P2
Trig functions unit circle definitions 1 Cinderella interactive graphs
unit circle definitions 2 Cinderella interactive graphs
exact values webEQ interactive equations
from circle to graph a Java applet
the graph of y=a sin[bx + c] + d JavaMath interactive graphs
transforming the sine graph plane graphic calculator
Trig equations inverse trig functions JavaMath interactive graphs
graphs of inverse trig functions JavaMath interactive graphs
the CAST diagram JavaScript interactive pages
solving sine equations 1 JavaMath interactive graphs
solving sine equations 2 webEQ interactive equations Cinderella interactive graphs
solving cosine equations 1 JavaMath interactive graphs
solving cosine equations 2 webEQ interactive equations Cinderella interactive graphs
solving tangent equations JavaMath interactive graphs
exam question 2002 Hot Eqn
exam question 2003 Hot Eqn
exam question 2003 Hot Eqn
exam question 2004 Hot Eqn
exam question 2004 Hot Eqn
Trig identities unscramble 1 Hot Potatoes
memorise them JavaScript interactive pages
exam question Hot Eqn
exam question 2001 Hot Eqn
exam question 2002 Hot Eqn
exam question 2002 Hot Eqn
exam question 2004 Hot Eqn
 
return to top4. Coordinate geometry
Coordinates coordinates and points Cinderella interactive graphs
the mid-point Cinderella interactive graphs
Gradient the gradient between two points Cinderella interactive graphs
the line between two points Cinderella interactive graphs
exam question Hot Eqn
Graphs of straight lines y=mx+c JavaMath interactive graphs
y-y1=m(x-x1) JavaMath interactive graphs
practise using y-y1=m(x-x1) JavaScript interactive pages
ax + by + c=0 JavaMath interactive graphs
parallel and perpendicular Cinderella interactive graphs
perpendicular distance Cinderella interactive graphs
straight line summary JavaMath interactive graphs
line recognition 1 JavaScript interactive pages
line recognition 2 JavaMath interactive graphs
analysis Cinderella interactive graphs Hot Eqn
exam question Hot Eqn
exam question Hot Eqn
exam question 2002 Hot Eqn
exam question 2002 Hot Eqn
exam question 2003 Hot Eqn
exam question 2003 Hot Eqn
exam question 2003 Hot Eqn
exam question 2004 Hot Eqn
Formulae summary JavaScript interactive pages
memorise them JavaScript interactive pages
 
return to top5. Sequences and series
The idea of limit limit Cinderella interactive graphs OCR P2
Arithmetic series what they look like webEQ interactive equations OCR P2
the nth term JavaScript interactive pages OCR P2
exam question Hot Eqn OCR P2
exam question 2002 Hot Eqn OCR P2
exam question 2003 Hot Eqn OCR P2
exam question 2003 Hot Eqn OCR P2
exam question 2004 Hot Eqn OCR P2
Geometric series what they look like webEQ interactive equations OCR P2
investigate JavaScript interactive pages OCR P2
exam question Hot Eqn OCR P2
exam question Hot Eqn OCR P2
exam question 2002 Hot Eqn OCR P2
exam question 2002 Hot Eqn OCR P2
exam question 2003 Hot Eqn OCR P2
Summation notation understanding it webEQ interactive equations OCR P4
using it webEQ interactive equations OCR P4
  exam question 2002 Hot Eqn OCR P4
The formulae get to know them webEQ interactive equations OCR P2
  match them Hot Potatoes OCR P2
memorise them JavaScript interactive pages OCR P2
 
return to top6. Differentiation
Slope straight v. curved JavaMath interactive graphs
the slope of y = x2 JavaMath interactive graphs
the slope of y = x3 JavaMath interactive graphs
tangents and chords JavaMath interactive graphs
x2-3x+2 JavaMath interactive graphs
x3-x2 JavaMath interactive graphs
x4-x3-x JavaMath interactive graphs
choose your own curve JavaMath interactive graphs
gradient curves JavaScript interactive pages
Differentiation first principles (function notation) Hot Eqn Not examined
first principles (delta notation) Hot Eqn Not examined
Basic rules differentiation of xn Hot Eqn
differentiation of simple functions Hot Eqn
differentiate expressions Hot Eqn
differentiate rational functions Hot Eqn
check the steps webEQ interactive equations
match the derivatives Hot Potatoes
exam question 2002 Hot Eqn
Higher derivatives second order derivatives Hot Eqn AQA P2
1st and 2nd derivatives JavaMath interactive graphs AQA P2
exam question 2001 Hot Eqn AQA P2
Curves increasing functions JavaMath interactive graphs AQA P2
decreasing functions JavaMath interactive graphs AQA P2
differentiation and graphs JavaMath interactive graphs AQA P2
tangents and normals JavaMath interactive graphs AQA P2
exam question Hot Eqn AQA P2
exam question 2002 Hot Eqn AQA P2
Stationary points maxima and minima JavaMath interactive graphs
points of inflection JavaMath interactive graphs
exam question 2001 Hot Eqn
exam question Hot Eqn
exam question Hot Eqn
exam question 2002 Hot Eqn
exam question 2003 Hot Eqn
exam question 2003 Hot Eqn
exam question 2003 Hot Eqn
exam question 2004 Hot Eqn
 
return to top7. Integration
Basic rules the reverse of differentiation Hot Eqn
integration of xp Hot Eqn
integration of simple functions Hot Eqn
exam question Hot Eqn
exam question 2002 Hot Eqn
exam question 2004 Hot Eqn
Definite integration the notation webEQ interactive equations
check the steps webEQ interactive equations
exam question Hot Eqn
exam question Hot Eqn
exam question 2002 Hot Eqn
exam question 2002 Hot Eqn
exam question 2003 Hot Eqn
exam question 2003 Hot Eqn
exam question 2003 Hot Eqn
exam question 2003 Hot Eqn
exam question 2003 Hot Eqn
exam question 2003 Hot Eqn
 
return to topSummary
The formulae JavaScript interactive pages
true or false 1 JavaScript interactive pages
true or false 2 JavaScript interactive pages
A quick test JavaScript interactive pages
exam question paper Hot Eqn
exam question 2002 paper Hot Eqn
exam question 2002 paper (printable) Hot Eqn
exam question 2003 paper (printable) Hot Eqn

Credits
JavaMath interactive graphs =Javamath graphs webEQ interactive equations =WebEQ equations Hot Eqn =HotEqn equations
Cinderella interactive graphs =Cinderella graphs JavaScript interactive pages =JavaScript a Java applet =other Java applets
plane graphic calculator =PGC graphic calculator Hot Potatoes =Hot Potatoes dynamic HTML Flash powered - you will need the Flash 5 plugin =Flash
© Mathsnet 2003