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Trigonometric identities and equations
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≡ sinθ/cosθ 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.
Gradient of a tangent
A tutorial showing how to find the gradient of a tangent at a given point.
Differentiation: Stationary points
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.
Increasing and decreasing functions
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.
Types of data - Statistics 1
This is a PowerPoint presentation on 2.1 Types of data - Statistics 1.
The purpose of the PowerPoint is to help deliver the lesson.
Algebraic methods
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.
IAL Pure Mathematics 4
** International A Level Pure Mathematics 4 Learning Objectives Resource**
This resource consists of seven PDF files, each corresponding to a chapter in the International A Level Pure Mathematics 4 book. Tailored for both students and teachers, the tables within these files serve as an essential organizational tool.
Aligned with the textbook’s chapters, they offer a clear overview of the** learning objectives**, facilitating effective tracking of classroom progress.
A distinctive feature is the inclusion of a self-assessment column for each objective, encouraging students to evaluate their understanding. This not only fosters a sense of responsibility but also aids in identifying strengths and areas for improvement.
Ideal for streamlined organization and student self-reflection, this resource enhances the learning experience for both educators and learners, promoting engagement and progress monitoring.
L.O. tables :
Proof
Partial fractions
coordinate geometry in the (x,y) plane
Binomial expansion
Differentiation
Integration
Vectors