#### Polynomial division

This long lesson is a must for the ‘AS,’ and the ‘A,’ level students who find polynomial division tedious and very hard to do. The method I show in this lesson ensures that the division is done in no time at all and accurately.

#### Quadratic inequalities

This short lesson is intended to assist the higher GCSE pupils to master the topic and to enable them to answer all relevant questions. The lesson will demonstrate:

#### Radian measure and its applications

This lesson is intended for the ‘AS,’ and ‘A,’ level students and covers the important topic of ‘Radian measure and its applications.’

#### Roots of a quadratic equation

This lesson is suitable for the ‘AS,’ and ‘A,’ level students. The lesson demonstrates that:

#### The Number Line (Part 2): Ordering and Comparing Integers (Video Companion Worksheet)

This video revolves around a decision, a real life example… where I’m going on my next winter vacation. Through this example, I introduce the concepts or ordering integers and comparing integers (inequalities). While I’d like to believe that students LIVE to watch MATH videos… I know that’s not always the case. Sigh. This worksheet will help keep the students on track, either at home or in class. Or perhaps you could use this as a pop quiz! This worksheet accompanies the YouTube video: https://youtu.be/aj5BtVcUqIk 10% of all Proceeds for Kaffenate Math go to this AWESOME horse rescue: https://www.facebook.com/TAPSfordrafts/

#### Domain and Range of Functions

Domain and Range revision and extension work for A-level.

#### Separating the variables

This short but easy to follow lesson is suitable for the ‘AS,’ and the ‘A,’ level students and it demonstrates how In mathematics, separation of variables (also known as the Fourier method) is any of several methods for solving ordinary and partial differential equations, in which algebra allows one to rewrite an equation so that each of two variables occurs on a different side of the equation.

#### Solving cubic equations mentally in seconds

This interesting lesson shows the ‘AS,’ and the ‘A,’ level students how to solve cubic equations in no time at all mentally.

#### Sums of the squares of natural numbers

This interesting lesson will help the ‘AS,’ and the ‘A,’ level students to derive a formula for finding the sums of the squares of natural numbers.

#### Sum of the cubes of natural numbers.

We can ask ourselves if there Is there a formula to add a sequence of cubes? It seems that the sum is always square, but what is even more remarkable is that the sum of the first n cubes, 13+23+…+ n 3 = ( n ( n +1)/2)2, which is the square of the n th triangle number. For example, 13+23+…+103=(10×11/2)2=552 = 3025. This interesting lesson will help the ‘AS,’ and the ‘A,’ level pupils to derive a formula to solve the sum of the cubes of natural numbers.

#### Tangents and normal to a curve

This lesson explains how differentiation can be used to calculate the equations of the tangent and normal to a curve. The tangent is a straight line which just touches the curve at a given point. The normal is a straight line which is perpendicular to the tangent.

#### The cast diagram

Cast diagrams (Quadrant Rule) are used for solving trigonometric equations such as sin, cos, and tan of an angle 𝜃 for a given range s.a. 0 ≤ 𝜃 ≤360. ‘AS,’ and ‘A ,’ level pupils will find this lesson very valuable when solving trigonometric equations.

#### The complex conjugate of a complex number

This short but detailed lesson is intended to help the ‘AS,’ and ‘A,’ level pupils to master this very interesting topic of complex numbers.

#### Geometry - Modular Arithmetic - Fun Maths - Cardioid Drawing

Adapted from https://www.artfulmaths.com/mathematical-art-lessons.html . High quality worksheets with animations.

#### C3 Notes and Examples with answers

These notes and examples are for the old specification for Edexcel A Level Maths. My complete notes for the new specification (suitable for any exam board) are available here: Year 1: https://www.tes.com/teaching-resource/maths-a-level-new-spec-complete-year-1-notes-and-examples-11904465 Year 2: https://www.tes.com/teaching-resource/maths-a-level-complete-year-2-notes-and-examples-pure-statistics-and-mechanics-11924833

#### Maths A Level New Spec Year 2 Functions and Graphs

These notes and examples are specially written for the new linear A Level Maths specification. A student booklet is provided, with spaces for them to fill in the solutions to the examples. There is also a separate teacher booklet with detailed worked solutions. Purchase the complete set of notes here: Year 1: https://www.tes.com/teaching-resource/maths-a-level-new-spec-complete-year-1-notes-and-examples-11904465 Year 2: https://www.tes.com/teaching-resource/maths-a-level-complete-year-2-notes-and-examples-pure-statistics-and-mechanics-11924833

#### Maths A Level New Spec Year 2 Algebraic Methods

These notes and examples are specially written for the new linear A Level Maths specification. A student booklet is provided, with spaces for them to fill in the solutions to the examples. There is also a separate teacher booklet with detailed worked solutions. Purchase the complete set of notes here: Year 1: https://www.tes.com/teaching-resource/maths-a-level-new-spec-complete-year-1-notes-and-examples-11904465 Year 2: https://www.tes.com/teaching-resource/maths-a-level-complete-year-2-notes-and-examples-pure-statistics-and-mechanics-11924833

#### C1 Notes and Examples with answers

These notes and examples are for the old specification for Edexcel A Level Maths. My complete notes for the new specification (suitable for any exam board) are available here: Year 1: https://www.tes.com/teaching-resource/maths-a-level-new-spec-complete-year-1-notes-and-examples-11904465 Year 2: https://www.tes.com/teaching-resource/maths-a-level-complete-year-2-notes-and-examples-pure-statistics-and-mechanics-11924833

#### Sine Rule - Missing Sides and Missing Angles (solutions included)

Worksheet on sine rule with one page to work out missing sides and one page for missing angles. There are regular process questions for each and one problem solving question on each page. Solutions are included.

#### Year 12 A Level Powerpoints (Edexcel)

Two Powerpoints: Pure Maths (560 slides) and Statistics/Mechanics (270 slides). Each presentation contains explanations, worked examples and questions for students to complete.

#### Year 12 A Level Pure Maths Powerpoint

This 500+ slide Powerpoint covers all of the first year of the single A Level Pure course (based upon the Edexcel course). It includes explanations, worked examples and questions for students to do. I have included everything, possibly more than you may need but I’d rather give people the option to skip a slide than have to make something up on the spot. I used this during the first year of the new course.

#### Volume of revolution, Solid of revolution

Video lesson for students IBDP Alevel Integrati Integrals Applications

#### Discovering dot product of two vectors

For Teachers and Students of IGCSE and IBDP Mathematics Alevels Vectors

#### Edexcel Further Maths Year 2 Core Pure

These comprehensive notes and examples cover book 2 of the Edexcel Further Maths Core Pure new linear specification. Each topic has a student booklet with spaces for them to fill in the solutions to the examples and a separate teacher booklet with full worked solutions. There are 8 booklets in total: Complex numbers Series Methods in calculus Volumes of revolution Polar coordinates Hyperbolic functions Methods in differential equations Modelling with differential equations

#### New Parametric Equations Topic Mat

A mat to summarise key concepts from the Year 2 A Level Topic Parametric Equations (Edexcel 2017+). I also include a suggestion for how the mat could be filled out. I usually use it as a plenary – ask the pupils for the key ideas from the lesson and collectively fill in sections over a sequence of lessons. At the end of a topic they have a topic mat from which to revise from. I also photocopy them on different coloured paper so they act as dividers in students’ folders.

#### Sequences, Seires and Binomial Topic Mat Year 2

A mat to summarise key concepts from the Year 2 A Level Topic Sequences and Series and Binomial theorem (Edexcel 2017+). I also include a suggestion for how the mat could be filled out. I usually use it as a plenary – ask the pupils for the key ideas from the lesson and collectively fill in sections over a sequence of lessons. At the end of a topic they have a topic mat from which to revise from. I also photocopy them on different coloured paper so they act as dividers in students’ folders.

#### AS Pure Maths PLCs

Summary of skills needed for the pure maths element of AS Maths of year 1 of the A 2. Can be used as PLC’s or unit front sheets.

#### Higher Level GCSE Trigonometry - including Area

Everything you could possibly need for teaching Higher Level GCSE students the Sine Rule, The Cosine Rule and The area of any triangle. The ambiguous case has been omitted ! Answers are provided

#### The Sine and Cosine Rule - 6 worksheets with answers

5 Comprehensive worksheets covering all you will need on the Sine and Cosine rules for GCSE. Sine Rule 1 - use the Sine Rule to find the missing side - 10 Questions Sine Rule 2 - use the Sine rule to find the missing angles (no ambiguous case) - 10 Questions Cosine Rule 1 - Find the missing side - 10 Questions Cosine Rule 2 - Find the missing angle - 10 Questions Sine and Cosine Rules - miscellaneous questions where students have to decide which rule to use - 12 questions Level 9 Cosine Rule Questions - Four more demanding questions for the more able student. Answers

#### A2 CIE Exam Questions Trig

A2 Cambridge International Exams (CIE) Past paper questions on trigonometry Can be used as class tests or worksheets / homeoworks

#### A2 CIE Exam Questions on Vectors

A2 Cambridge International Exams (CIE) Past paper questions on Vectors Can be used as class tests or worksheets / homeoworks

#### A2 CIE Exam Questions - Differentiation

A2 Cambridge International Exams (CIE) Past paper questions on differention. Can be used as class tests or worksheets / homeoworks

#### A2 CIE Exam Questions - Trapezium Rule

A2 Cambridge International Exams (CIE) Past paper questions on Trapezium Rule Can be used as class tests or worksheets / homeoworks

#### A2 CIE Exam questions Complex Numbers

A2 Cambridge International Exams (CIE) Past paper questions on complex numbers Can be used as class tests or worksheets / homeoworks

#### Exam Questions on Differential Equations A2 CIE

A2 Cambridge International Exams (CIE) Past paper questions on differential equations. Can be used as class tests or worksheets / homeoworks

#### CIE ALevel Exam Questions on Integration

A2 Cambridge International Exams (CIE) Past paper questions on Integrations. Integration subtopics split up into different worksheet. Can be used as class tests or worksheets / homeoworks

#### CIE Past paper Solving Equations Numerically

A2 Cambridge International Exams (CIE) Past paper questions on solving equations numerically

#### Differentiation & Integration Summary Sheet - AQA Core 3

A summary sheet of common function’s derivatives and integrals with examples. Contains both PDF and editable Microsoft Word documents.

#### Cosine & Sine Rule For Higher GCSE

Easy powerpoint to introduce Cosine and Sine Rule. Notes sheet organisation pupils found particulary useful. Easy ready to go lesson!

#### Maths A Level Complete Year 2 Notes and Examples (Pure, Statistics and Mechanics)

This great value bundle contains complete notes and examples for all of the year 2 topics of the new linear maths A Level. You will receive 20 booklets in total: 12 for pure, 3 for statistics and 5 for mechanics. They are structured in the order of the Edexcel textbooks but would be suitable for any exam board. Separate teacher booklets are included for each topic with detailed worked solutions to the examples. Try before you buy! Get a free sample chapter here: https://www.tes.com/teaching-resource/maths-a-level-year-2-mechanics-applications-of-forces-11925137

#### SQA Higher Maths Multi-topic Problem-Solving Powerpoint with Answers

17 slide SQA Higher Maths Multi-topic Problem-Solving Powerpoint with Answers. Topics include: Functions: finding the equations of functions including cubics from a digaram, Calculus (differentiating and integrating - including function sketching - quadratics, cubics, and quartics), Further Calculus (displacement, velocity and acceleration), Vectors (scalar product), Straight Lines (perpendicular bisectors), Surds, Circles (finding equations of circles, tangents to circles, circumcentre). Sequences (including Fibonacci, and the Golden ratio as a limit, and algebraic proofs). Each question is multi-part and multi-topic. Some questions are marked as extension. Animated, annotated diagrams are included on every slide. All values are given as exact values. All answers have been checked using graphing software.

#### Investigation: Where's the Point?

A Mathematical Investigation Assessment Item for Yr 9 &amp; 10, including GeoGebra and Python.