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An introduction to a very important mathematical topic, learners will realise that the principles involved can be
applied to other areas of mathematics. The topic will also provide an insight into mathematics at a higher level. A
good knowledge of algebraic manipulative techniques is required. Learners will be required to know that the
gradient of a curve at any point is the same as the gradient of the tangent to the curve at that point.
Understand the idea of a derived function

Derivative as a concept

Derivative as Slope of Curve and It's Practice [ Khan Academy]
Introduction of the relevant notation once learners are aware of the ‘rules’.
Use the derivatives of the standard functions x n (for any rational n), sinx, cosx, tanx, e x , ln x, together with constant multiples, sums and composite functions of them.
‘Derivative rules’ at www.mathsisfun.com/calculus/derivatives-rules.html
‘Differentiation revision’ at
www.s-cool.co.uk/alevel/maths/differentiation/ is an example of a presentation that you could also use.
Differentiate products and quotients of functions

Apply differentiation to gradients, tangents and normals, stationary points, connected rates of change, small increments and approximations and practical maxima and minima problems
Resources:
www.s-cool.co.uk/a-level/maths/differentiation/
www.khanacademy.org/math/calculus

Use the first and second derivative tests to discriminate between maxima and minima

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Introduction

Use vectors in any form

Know and use position vectors and other type of Vectors

Unit vectors

Components of a Vector

Find the magnitude of a vector; add and subtract vectors and multiply vectors by scalars

Addition & Subtraction

Triangle Law of Vector Addition

Parallelogram Law of Vector Addition

Compose and resolve velocities

Magnitude & Direction of a Vector

Applications of Vectors

Review
Unit test - Khan Academy
Exercise 1
Exercise 2

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Quick Maths equation Solver [Application]
1. Intro
2. Solve the equations graphically or algebraically
Solving Equations
3. Solve the inequalities graphically or algebraically

Graphs of absolute value functions

Solving absolute value equations

Solving absolute value inequalities

4. Use substitution to form and solve a quadratic equation in order to solve a related equation
5. Sketch graphs of cubic polynomials and their moduli, when given in factorised form
6. Solve cubic inequalities in factorised form graphically.

Jamboard

Review
Khan Academy
Hodder Exercise 1
Hodder Exercise 2
Hodder Exercise 3

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Use the Binomial Theorem for expansion of  for positive integer n

Use the general term

Binomial Theorem
The binomial Theorem: Khan Academy

Binomial Theorem - General Formula

Pascal's Triangle and the Binomial Theorem

Review

Expand binomials

Binomial Theorem_Ex_12.1

Recognise arithmetic and geometric progressions
Use the formulae for the nth term and for the sum of the first n terms to solve problems involving arithmetic or geometric progressions.

Arithmetic Sequences and Sums

Arithmetic Progression_Byju's

Geometric Progression And Sum Of GP

Arithmetic series - Khan Academy

Geometric series - Khan Academy

Sequence and series word problems

Review
Practice 1
Practice 2
Practice 3
Exercise Completion - Hodder

Use the condition for the convergence of a geometric progression, and the formula for the sum to infinity of a convergent geometric progression

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1. Use the maximum or minimum value of f(x) to sketch the graph or determine the range for a given domain.
Desmos
Quadratic standard form

Review

Know the conditions for f(x) = 0 to have:(i) two real roots,(ii) two equal roots,(iii) no real roots& the related conditions for a given line to(i) intersect a given curve,(ii) be a tangent to a given curve(iii) not intersect a given curve
Nature of Roots
Jamboard

Inequalities
Multi-step inequalities

Quadratic inequalities

Solving Quadratic Inequalities - Math is Fun
Review

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Understand the terms Counting, Permutation and Combination.

Pascal's Triangle

Permutation& Combination

Permutations with Repetition

Permutations without Repetition

Jamboard

Practice

1. Practice 1

2. Combinations and Permutations

3. Premutation Hodder Maths

4. Combination Hodder Maths

5. Edpuzzle 1

6. Edpuzzle 2

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Quadratic Equations Introduction
Solving Quadratic Equations
Intro to factorisation

Reflection

Practice1

Practice 2

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Introduction

Constants, Variables & Exponents

Polynomials

Type of Polynomials

Standard Form & Degree of Polynomial

Solution of Linear Equations

Reflection

Practice 1

Practice 2

Tools: Jamboard

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Indices & Surds
Perform simple operations with indices and with surds, including rationalising the denominator

Activity 1

Activity 2

Tools:
Jam Board
Review:

1. Kahoot Quiz

2. Khan Academy

3. Review Ex_4.1

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What are midline, amplitude, and period?

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What are midline, amplitude, and period?

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Midline, amplitude, and period are three features of sinusoidal graphs.

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Trigonometry : Chapter Review
Activity 1: Geogebra
Activity 2: Desmos
Activity 3: Math Centre [Trigonometric eq.]
Tools: Jam Board

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Rationalising the Denominators:
Learning the concept using given examples

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IGCSE_2_0606

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Chapter Review: Trigonometry
Practice Test_Trigonometry

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Exercise Discussion

Kahoot Practice Questions

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Practice Paper Discussion