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Core 1 (OCR 4721)

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General GCSE Revision
Grades:  A* · A · B · C · basics
OCR Modular GCSE Revision
Stages:  6 · 7 · 8 · 9 · 10
OCR A level Revision
Modules:  C1 · C2 · C3 · C4
FP1 · FP2 · FP3 · D1 · D2
S1 · S2 · S3 · M1

Key - Waldomaths resources
Waldomaths applet - Java applet (program)
Waldomaths video - video (2 to 5m)
MS Word document - MS Word .doc file
Adobe Acrobat .pdf file - Adobe Acrobat .pdf file
MS Powerpoint presentation - MS Powerpoint .ppt file

Key - External links
Teachers TV resource  Teachers TV
Emaths resource  Emaths
BBC resource  BBC
BBC Bytesize maths resource  BBC Bytesize maths
MyMaths resource - password required - ask your teacher  MyMaths (password required)
The Student Room resource  The Student Room
MathTutor resource  MathTutor

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 of surds

Waldomaths video Surds 1 - What are surds?
Waldomaths video Surds 2 - Some basic rules
Waldomaths video Surds 3 - Simplifying 1
Waldomaths video Surds worksheet   Waldomaths MS Powerpoint presentation Surds worksheet

Rationalising denominators

Waldomaths video Surds 4 - Simplifying 2

Properties of indices

Waldomaths video Indices 1 - Multiplying
Waldomaths video Indices 2 - Dividing
Waldomaths video Indices 3 - Powers of powers

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

Waldomaths applet Quadratics - completing the square
Waldomaths video Completing the square

Sketching and the discriminant

Waldomaths applet Quadratics - the discriminant

Inequalities

Linear inequalities

Waldomaths applet Linear inequalities

Quadratic inequalities

 

Simultaneous equations

Linear simultaneous equations

Waldomaths applet Simultaneous Equations

Other simultaneous equations

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

 

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

Application of differentiation

Increasing and decreasing functions

 

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

Waldomaths applet Equations of Circles

Tangents to a circle

 

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