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6993 course

6993 learning checklist

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Specification clauses and resources
ReviewedTopic and clauseTeachingSelected practiceAssessment
Product rule for counting

core · EN3

Counting with restrictionsProduct rule with no repetitionSelect this course to see available tests

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Surds and rationalising denominators

core · AL2

Surds and exact answers
Algebraic fractions

Lesson and examples

Rationalise a binomial denominator
Combine and simplify surds
Rationalise a binomial surd denominator
Add rational expressions
Subtract rational expressions
Multiply rational expressions
Divide rational expressions
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Expanding and simplifying

core · AL3

Expanding and factorisingDivide polynomialsSelect this course to see available tests

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Factor theorem

core · AL4

The factor theoremUse the factor theorem
Complete factorisation of a cubic
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Completing the square

core · AL5

Completing the square

Lesson and examples

Complete the squareSelect this course to see available tests

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Linear and quadratic equations

core · AL6

Solving quadratic equations
Simultaneous linear and quadratic equations

Lesson and examples

Solve a linear equation
Quadratic equations
Simultaneous equations
Non-linear simultaneous equations
Line and parabola intersections
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Linear and quadratic inequalities

core · AL8

Quadratic inequalities
Inequalities and interval notation
Quadratic inequality interval endpoints
Solve a linear inequality with a sign reversal
Solve a quadratic inequality in interval notation
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Straight line equations

core · CG1–CG5

Straight lines and gradients

Lesson and examples

Line through two points
Line equation in equivalent forms
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General circle equations

core · CG2

Circles and tangentsCentre and radius of a circleSelect this course to see available tests

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Differentiating integer powers

core · CA1

Differentiating powers

Lesson and examples

Differentiate a polynomialSelect this course to see available tests

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Trigonometric identities

core · PT3–PT4

Trigonometric identities
Identity proofs and permitted angles
Use trigonometric identities and the quadrantSelect this course to see available tests

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Trigonometric equations in intervals

core · PT5

Trigonometric equations in intervalsTrigonometric equations in an intervalSelect this course to see available tests

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Binomial coefficients for integer powers

core · EN1

No lesson yetBinomial coefficientsSelect this course to see available tests

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Equation of a tangent

core · CA4

Tangents and normals

Lesson and examples

Equation of a tangent
Equation of a normal
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A polynomial stationary point

core · CA5–CA6

Stationary points
Sketching a curve from its derivative
Find a stationary pointSelect this course to see available tests

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Exact polynomial definite integrals

core · CA8–CA11

Integration and exact areaDefinite polynomial integralsSelect this course to see available tests

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Constant acceleration

core · CA15

No lesson yet

Lesson and examples

Constant accelerationSelect this course to see available tests

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Linear recurrence calculation

core · AL10

No lesson yetLinear recurrenceSelect this course to see available tests

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Bisection interval refinement

core · NM1

Bisection and root bracketsOne bisection stepSelect this course to see available tests

Make a practice test