C1 - Core Mathematics 1 (OCR 4721)
General Resources
The OCR Website's A Level Mathematics Pages
OCR Booklet of Formulae and Tables
OCR C1 Syllabus Specification (2005) (© OCR)
Surds and indices
Properties and simplification of surds |
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Rationalising denominators |
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Properties and simplification of indices |
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Algebraic expressions
Algebraic expressions, function notation and polynomials |
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Factorising and cancelling | |
Fractions |
Equations and quadratic functions
Relationships and linear equations |
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Solving quadratic equations by completing the square and by using the quadratic formula |
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Sketching and the discriminant |
Inequalities
Linear inequalities in one unknown | |
Quadratic inequalities in one unknown |
Simultaneous equations
Linear simultaneous equations | |
Simultaneous equations with quadratic and other terms |
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Three cases of the discriminant |
Coordinate geometry and the straight line
Lengths and mid-points of line segments | |
Gradients, parallel and perpendicular lines |
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Equations of curves and straight lines |
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Applications |
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Differentiation
Rates of change, tangents and gradients |
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Notation and vocabulary |
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Differentiation from first principles |
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Differentiation of polynomials | |
Tangents and normals |
Applications of differentiation
Increasing and decreasing functions | |
Stationary points |
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Maximum and minimum problems |
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Sketching curves 1 |
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Transforming graphs
Graphs of standard functions | |
Transformations of graphs | |
Geometrical interpretation of solutions of equations |
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Coordinate geometry of the circle
Properties of the circle |
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Equation of a circle in terms of the radius and centre | |
Tangents to a circle |
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- Java applet
- video (c. 5m)