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Trigonometric identities and equations
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Trigonometric identities and equations

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This resource contains 6 PowerPoint presentations to support the delivery of chapter 6 trigonometric identities and equations, International A level Pure mathematics 2, Pearson. The presentations cover the following Learning Objectives: Calculate the sine, cosine and tangent of any angle. Know the exact trigonometric ratios for 30°,45° & 60°. Know and use the relationships tan⁡ θ≡ sin⁡θ/cos⁡θ and sin^2⁡ θ+cos^2⁡ θ ≡1 . Solve trigonometric equations of the forms sin⁡ θ=k ,cos⁡ θ=k ,tan⁡ θ=k Solve more complicated equations of the forms sin⁡ nθ=k and sin⁡(θ±α)=k and equivalent equations involving cos and tan. Solve trigonometric equations that produce quadratics.
Increasing and decreasing functions
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Increasing and decreasing functions

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This is a PowerPoint presentation that can be used to enhance the learning of identifying increasing and decreasing functions by using the derivative. This is the first lesson in the Differentiation chapter, Pure Mathematics 2 International A level course.
Algebraic methods
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Algebraic methods

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This resource contains 5 PowerPoint presentations and 1 WordDocument containing LO for this unit, to support the delivery of chapter 1 ALGEBRAIC METHODS, International A level Pure mathematics 2, Pearson. The LO table should be given at the beginning of the unit and students should complete it with the date when each LO is covered. At the end of the unit students can use the SA column to assess their confidence against each LO The presentations cover the following Learning Objectives: Cancel factors in algebraic fractions. Divide a polynomial by a linear expression. Use the factor theorem to factorise a cubic expression. Use the remainder theorem to find the remainder when a polynomial f(x) is divided by (ax-b). Construct mathematical proofs using algebra. Use proof by exhaustion and disproof by counter-example.
Differentiation: Stationary points
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Differentiation: Stationary points

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This is a PowerPoint presentation that can be used to enhance the learning of finding stationary points of functions and deciding their nature . This is the second lesson in the Differentiation chapter, Pure Mathematics 2 International A level course.