Colmanweb - Maths Made Motivating

AQA Core 1

What's the biggest area you can contain with x cm of string? Whats the biggest volume you can contain with an A4 sheet of paper? Not as easy as it seems!

Our answers and Autograph file used.

Remainder Theorem

An explanation via example of Remainder Theorem. A set of Notes on Division of Polynomials.

Indices Rule

How the rules of indices work. Follow them and you can't go wrong!

A Level Formulae

A lovely spider diagram jpeg noting all the useful formulas required for A Level Mathematics. Print out, explore, learn.

This resource came via Mr Ho, our PGCE student teacher, from the UEA, Norwich. It's not our work but we like it!

Core 1 Revision Pairs

Interactive match up pairs starter activity for key elements of Core 1 revision.

Quadratic Discs

Six questions to find everything out about the quadratic expressions.

Factorising Quadratic Types

Prompt for learning where to put + & - symbols when factorising quadratics.

GCSE A Grade - As Level Question Cards

A set of questions taken from the AQA Additional Maths specimen paper. A great GCSE A/A* extension or As introduction. Ask pupils to order by difficulty using this template and then attempt all that they can. Lesson plan.

GCSE A Grade Algebra Question Match-up Cards

A set of 26 A-Grade algebra questions on simplifying, rearranging and solving. Pupils match up questions to answers and then use as support, or just for checking, to solve questions. A set of 'rich questions' to go with this activity.

Quadratic Practice

Three quadratic equations, of varying difficulty, to solve via each of the three methods: Factorising, Completing the Square & Quadratic Formula.

Three versions of this: Easy, Medium or Hard.

Practice at completing the square.

Differentiation, Coordinate Geometry and Factor Theorem Rich Task

Resources to test deep understanding of differentiation to solve problems, factor theorem for drawing polynomials and coordinate geometry. This activity composed the key part of a recent OFSTED OUTSTANDING lesson

Test Prior Understanding: Polynomials and Differentiation	Main Task: White version Alt version (coloured background)	Main Task with hints: White version Alt version (coloured background)	Starter Questions

Test Prior Understanding Autograph file	Main Task Autograph files: Coordinates Differentiation Factor Theorem	Lesson Plan	Starter Questions Autograph Files: Coordinates Factor Theorem

Factor & Remainder Theorem Questions

Some, relatively simple, questions on using the factor & remainder theorem.

Core 1 Coordinate Geometry Notes

Very simple notes on coordinate geometry: gradient of a line, distance between two points, midpoints, negative reciprocal....

Core 1 Terminology

List of commonly confused exam terminology and thier meanings.

Graph Transformations

Kinesthetic activity for students. Print out the graphs onto A4 paper, then print the final 6 slides onto accetate and cut up. Pupils use the accetates to show the required graph transformations.

AQA Core 2

APs & GPs

Notes on A Level APs & GPs (Arithmetic Progressions & Geometric Progressions).

Logarithms Rule

Very simple notes on the rules of logarithms.

Binomial Activity

Four different introductions to the binomial expansion. Spread around class, complete, and then present to other students. An activity to really reinforce the imprortance of the binomial expansion across several areas of Mathematics.

Binomial smartboard file

Binomial lesson plan

Binomial Expansions

A progression of binomial expansions to take students from the very straightforward (x+1)³ to (3-2x)⁵ in easy steps.

Core 2 (AQA) Revision Notes

All of the required formulae for Core 2 on a single side of A4. Arranged into those formula that must be remembered and those that are given in the formula book. Tested and much appreciated by my sixth form class!

AQA Core 3

	Further Trig Graphs Trig graphs of cot, sec and cosec. The Autograph files used are cot, sec and cosec or alt versions with corresponding graphs cot, sec and cosec.

	Trig Identities for A Level Lots of trig identities. Learn, explore, enjoy! Another version split into AQA Core 3 and AQA Core 4.

	Important Trig Values MS Word table of important trig values between 0 - 360. Learn them!

	Modulus Exercise Very short activity to get students thinking about the modulus function. They could use the MS Excel file to help them.

	Autograph file: Volumes of Revolutions (setup page) Axes etc setup & ready for doing Volumes of Revolutions. My best example and another example.

	Volume of Revolution Formula Formula for Volume of Revolution.

	Simpsons Rule Notes Formula for Volume of Revolution.

	Intro to The Chain Rule

	Chain, Product Quotient Very simple notes on Chain Rule, Product Rule, Quotient Rule

	The Chain Rule Nine questions of progressive difficulty for students to develop 'a rule' for differentiating y other methods than brute force expanding out.

	Differentiating & Integrating Exponentials Notes

	Integration By Parts The formula.

	Functions Activity A matchup cards activity to check & consolidate understanding of domain vs range and mapping.

	Functions Notes Notes on A level functions (Core 3).

	Numerical Methods Notes on Numerical Methods.

	Standard Integrals Very simple notes on standard Integrals.

	Core 3 Revision Quiz A lovely quiz to check pupils understanding of some key concepts from the AQA Core 3 module.

	Integration by Substitution Concept Questions A set of questions of progressive difficulty to test students conceptual understanding of integration by parts.

	Proving Trig Identities Prove the trigonometric identities by matching up the peices (steps) in the correct order. Supports students with this topic by providing the steps , and avoiding alebraic mistakes that confuse the key learning outcomes, whilst challenging them to understand the order and making connections between each step.

AQA Core 4

	Vectors Probing Questions A set of questions to really check understanding of several vector concepts such as magnitudes of vectors, vector equations of lines, scalar product and closest distance between a point and a line. Answers included.

	Harmonic Form The formula, or format, followed by a teaching activity and proof on the next page.

	Trig Identities for A Level Lots of trig identities. Learn, explore, enjoy! Another version split into AQA Core 3 and AQA Core 4.

	Partial Fractions The partial fractions formulae in big, to save writing it out

	Binomial Expansion for C4 The formula plus 8 questions to practice. (Answers on the second page).

	Vector Notes Notes on vectors. Three pages, all you need, one lesson. Its all here. The Autograph file 1 and Autograph files 2 that were used to make it 'dynamic'.

	Vectors to Resolve Forces Dynamic Autograph file for demonstrating how vectors can be added and how to find the magnitude of a vector.

	Vector Scalar Product Notes Notes on Scalar Products of vectors.