Maths Dictionary
UK vs US language
General GCSE
A* · A · B · C · basics

OCR GCSE A Modular
Foundation A · B · C
Higher A · B · C

OCR A level
C1 · C2 · C3 · C4
FP1 · D1 · S1

Edexcel A level
C1 · C2 · C3 · C4
D1 · S1

Waldomaths resources
Waldomaths applet - Java applet
Waldomaths video - video (c. 5m)
MS Word document - MS Word file
Adobe Acrobat .pdf file - Adobe .pdf
MS Powerpoint presentation - MS Powerpoint file







C1 - Core Mathematics 1 (OCR 4721)

General Resources

Link to an external webpage  The OCR Website's A Level Mathematics Pages
Link to an external webpage  OCR Booklet of Formulae and Tables
external Adobe Acrobat .pdf file OCR C1 Syllabus Specification (2005) (© OCR)

Surds and indices

Properties and simplification of surds

Waldomaths video Surds 1 - What are surds?
Waldomaths video Surds 2 - Some basic rules
Waldomaths video Surds 3 - Simplifying 1

Rationalising denominators

Waldomaths video Surds 4 - Rationalising 1
Waldomaths video Surds 5- Rationalising 2
Waldomaths Adobe Acrobat .pdf file Surds worksheet

Properties and simplification of indices

Waldomaths video Indices 1 - Multiplying
Waldomaths video Indices 2 - Dividing
Waldomaths video Indices 3 - Powers of powers
Waldomaths video Indices 4 - Zero and negative indices
Waldomaths video Indices 5 - Fractional indices
Waldomaths video Indices 6 - Simple exponential equations

Algebraic expressions

Algebraic expressions, function notation and polynomials

 

Factorising and cancelling

Waldomaths applet Factorising quadratics
Waldomaths applet Factorising harder quadratics

Fractions

Waldomaths video Algebraic Fractions 3 - equations

Equations and quadratic functions

Relationships and linear equations

 

Solving quadratic equations by completing the square and by using the quadratic formula

Waldomaths applet Quadratics - completing the square
Waldomaths video Completing the square
Waldomaths Adobe Acrobat .pdf file Quadratic formula worksheet

Sketching and the discriminant

Waldomaths applet Quadratics - the discriminant

Inequalities

Linear inequalities in one unknown

Waldomaths applet Linear inequalities in one unknown

Quadratic inequalities in one unknown

Waldomaths applet Quadratic inequalities and solutions sets

Simultaneous equations

Linear simultaneous equations

Waldomaths applet Simultaneous Equations

Simultaneous equations with quadratic and other terms

Waldomaths applet Equations solved graphically
Waldomaths video Simultaneous equations with quadratic terms 1
Waldomaths video Simultaneous equations with quadratic terms 2
Waldomaths applet Circles and Lines

Three cases of the discriminant

Waldomaths applet Quadratics - the discriminant

Coordinate geometry and the straight line

Lengths and mid-points of line segments

Link to an external webpage Coordinate geometry - notes (.doc)

Gradients, parallel and perpendicular lines

 

Equations of curves and straight lines

 

Applications

 

Differentiation

Rates of change, tangents and gradients

 

Notation and vocabulary

 

Differentiation from first principles

 

Differentiation of polynomials

Waldomaths applet Differentiating polynomials

Tangents and normals

Waldomaths applet Tangents and normals

Applications of differentiation

Increasing and decreasing functions

Link to an external webpage Applications of differentiation - notes (.doc)

Stationary points

 

Maximum and minimum problems

 

Sketching curves 1

 

Transforming graphs

Graphs of standard functions

Waldomaths applet Polynomial graphs

Transformations of graphs

Waldomaths applet Polynomial transformations
Waldomaths applet Trigonometric transformations

Geometrical interpretation of solutions of equations

 

Coordinate geometry of the circle

Properties of the circle

 

Equation of a circle in terms of the radius and centre

Waldomaths applet Equations of Circles

Tangents to a circle