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4PM1 course

4PM1 learning checklist

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Specification clauses and resources
ReviewedTopic and clauseTeachingSelected practiceAssessment
Surds and rationalising denominators

core · 1C–1D

Surds and exact answers

Lesson and examples

Rationalise a binomial denominator
Combine and simplify surds
Rationalise a binomial surd denominator
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Factor theorem

core · 3B

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

core · 2A

Completing the square

Lesson and examples

Complete the squareSelect this course to see available tests

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Graphs and piecewise functions

core · 4A

Sketching functions
Piecewise graphs and endpoints
Exponential graphs and parameters
No questions yetSelect this course to see available tests

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Linear and quadratic equations

core · 2B

Solving quadratic equations

Lesson and examples

Quadratic equationsSelect this course to see available tests

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Linear and quadratic inequalities

core · 3D

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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Linear sequence nth terms

core · 5B

Arithmetic series
Geometric series
Linear sequence nth terms

Lesson and examples

Arithmetic sequences
Arithmetic series
Finite geometric series
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Straight line equations

core · 8C–8E

Straight lines and gradients

Lesson and examples

Line through two points
Line equation in equivalent forms
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Differentiating integer powers

core · 9A

Differentiating powers

Lesson and examples

Differentiate a polynomial
Gradient with a negative integer power
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Exact trigonometric values

core · 10B

Exact trigonometric valuesExact squared trigonometric values
Exact trigonometric values in all quadrants
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Two simultaneous linear equations

core · 3C

No lesson yetSimultaneous equations
Non-linear simultaneous equations
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Binomial coefficients for integer powers

core · 6A

No lesson yetBinomial coefficientsSelect this course to see available tests

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Equation of a tangent

core · 9F

Tangents and normals

Lesson and examples

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

core · 9D–9E

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 · 9A–9C

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

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Polynomial division

core · 3A

No lesson yetDivide polynomialsSelect this course to see available tests

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Trigonometric solutions in an interval

core · 10H

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

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