Advanced pure teaching resources: Functions

Resources and ideas for mathematics, advanced pure, functions, written by teachers to support teaching and learning

New 9-1 GCSE Maths Grade 8/9 target - Algebra

New 9-1 GCSE Maths Grade 8/9 target - Algebra

What’s in this pack?This pack contains 48 exam style question cards covering the new curriculum for the top grades of the new gcse in algebra. The design of a card means you can use these in a variety of ways in your classroom; as a starter or a plenary, as extension work, as homework or as a revision tool. An answer key is included.The questions feature some challenging topics including rearranging fractional equations, expanding more than one brackets, manipulating and solving algebraic fractions with both addition and division, algebraic proofs that include some well known theories, as well as some rewriting of equation questions, factorising, completing the square and solving of quadratic equations and inequalities where the coefficient of x^2 is greater than one, as well as where the question is set up through scenarios, finding the nth term of quadratic sequences and working with the Fibonacci sequence, working with quadratic simultaneous equations, composite and inverse functions, and a variety of graph transformation questions. Topics are as follows:-Rearranging Equations-Binomials-Algebraic Fractions-Algebraic Proof -Quadratics Sequences-Quadratic Inequalities -Simultaneous Equations -Functions -Transformations

By LittleStreams

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Quadratic Revision

Quadratic Revision

All Quadratics covered, written by an Outstanding practitioner from an Outstanding School. Great for whole lesson or quick fire revision. As it is very detailed it can be used for revision lessons or whole lessons. Can be printed and used to provide revision material to students. This resource contains:1) A 23 slide power point containing explanation, questions and in depth answers/solutions on:a) Drawing quadratic graphs. b) Factorising and solving quadratic Equations. c) Completing the squared) Solving quadratic equation after completing the square.e) Solving quadratic equation using the quadratic formula. f) Sketching and using the Discriminant.2) 6 Exercises/questions on the below 6 points: The exercises are on the power point and on a word document for you to choose how to use them. a) Drawing quadratics. b) Factorising and solving quadratics. c) Completing the squared) Solving after completing the square.e) Solving using the quadratic formula. f) Sketching and using the Discriminant.3) Full in depth answers to the above 6 exercises, this is fantastic tool for support and extension. The Answers are on a word document,great for you and your students to check answers and use as a guide to support and differentiate. There is 3 hours worth of lesson resources. As it is in depth can be used for revision or whole lessons.Kindly review after purchasing. Thanks.

By Shamster

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Additional Bundle (Recent Bundle)

Additional Bundle (Recent Bundle)

£20 pounds resources at a bargain price. The Great Bundle with Resources Created Recently. Great for whole lesson or quick fire revision. 1. Function Machine 2. Simultaneous Equations (Elimination/Substitution) (Exercises come with step by step answers) 3. Quadratic Equations (Factorising/Complete the square / formula) (Exercises come with step by step answers) 4. Direct Proportions 5. Factor Theorem Dividing Polynomials for Year 12 AS Maths 6. Sine / Cosine Rule (Advanced Trig) (Exercises come with step by step answers) Great for Revision or Whole Lesson.

By Shamster

Limits 1 – Circuit Training

Limits 1 – Circuit Training

Limits 1 – Circuit TrainingWork out the problem in the cell #1. To advance in the circuit, find your answer and mark that cell #2. Work out that problem and then find your answer again. Continue working in this manner until you complete the circuit.There are 24 problems in this product.All answers are included.My students love doing these activities.Thank you for checking my resources.

By NewMathWorld

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Equations Revision

Equations Revision

£20 pounds worth of resources at a bargain price. Brilliant Equations Bundle. Great for Revision or Whole Lessons. Contains the tried and tested resources of Equations, Inequalities, Simultaneous Equations, Quadratic Equations and Function Machines. Lots of questions with in depth answers.

By Shamster

Trigonometric identities and equations handout

Trigonometric identities and equations handout

a summary of all the trigonometric identities, equations and formulae needed for A-level maths, including integration and differentiation, laid out in a easy to read reference sheet. Also includes a display revision sheet on differentiating and integrating sin and cos.

By beccatenney

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C2 AS Level Maths Core 2 - Chapter 1 Factor and Remainder Theorem

C2 AS Level Maths Core 2 - Chapter 1 Factor and Remainder Theorem

AS Level Mathematics (Pearson / Edexcel Exam Board)Chapter 1 Factor and Remainder Theorem Resources are written by an Outstanding Practitioner. - Factor Theorem - Remainder Theorem - Dividing Polynomials- Simplifying Expressions - Exam Questions and Answers There is 3 Lessons (150 Minutes worth of resources)- 2 Power points, full of questions and step by step answers. - Exam Questions with Answers. Kindly review once purchased.

By Shamster

Functions

Functions

This booklet contains a selection of questions covering a range of topics for the reformed GCSE Mathematics (9-1) Higher Tier syllabus. The 36 questions in this booklet can be used by both teachers, to show examples of examination style questions in class, and students, for independent revision at home. The answers are particularly useful if students are not secure in certain topics as they show full step-by-step workings. Calculators are not allowed for the questions in this booklet.Topics covered in this booklet are: evaluating f(x) for given values of x, finding x for given values of f(x), composite functions, inverse functions and applying transformations to graphs and functions.This booklet has excellent examples of questions of the new topics in the reformed GCSE Mathematics (9-1) curriculum.

By mathsmuscateer

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AS Maths Bundle (C1: Ch2 & Ch3) and (C2: Ch1 & Ch2)

AS Maths Bundle (C1: Ch2 & Ch3) and (C2: Ch1 & Ch2)

Core 1 - Edexcel / Pearson Exam Board Chapter 2 (Quadratics) - Drawing Quadratics. - Factorising and Solving Quadratics. - Completing the square and Solving Quadratics. - Using the formula and Solving Quadratics. - Sketching Quadratics and Using the Discriminants. - Exercises include Step by Step answers. Chapter 3 (Simultaneous Equations) - Solving by Elimination Method - Solving by Substitution - Solving by Substitution - Linear / Quadratic - 3 Exam Questions with Mark Scheme - Exercises include Step by Step answers. Core 2 - Edexcel / Pearson Exam Board Chapter 1 - Factor Theorem - Remainder Theorem - Dividing Polynomials - Simplifying Expressions - Exams Questions and Answers Chapter 2 - Sine Rule - Cosine Rule - Sine Rule Area - Worked through exam questions. - Exercises include Step by Step answers. Written by an Outstanding Practitioner. Kindly Review after purchasing.

By Shamster

C3 Mathematics (Edexcel AQA) A Level Posters - Domain, Range and Inverse Functions

C3 Mathematics (Edexcel AQA) A Level Posters - Domain, Range and Inverse Functions

1 Poster for A Level Mathematics students taking the C3 exam - posters help students memorise difficult formulae and information that is required for the exam. A large proportion of students are visual learners, this means bright colours, bold diagrams, and image repetition will help when studying. Enclosed is a poster for Edexcel A Level Mathematics C3, with cross-connections with most other boards including AQA.The posters are A4 documents, split into boxes with bold colourful information in each. They are well used scattered around a room or the house, so constant viewing of the posters will help you remember the information that in on them. This is a technique that I have passed on to help many students through GCSE and A level.The topics included are: Domain/Range, Inverse Functions

By brent_wheeldon123

C3 Mathematics (Edexcel AQA) A Level Posters - Modulus Graphs

C3 Mathematics (Edexcel AQA) A Level Posters - Modulus Graphs

1 Poster for A Level Mathematics students taking the C3 exam - posters help students memorise difficult formulae and information that is required for the exam. A large proportion of students are visual learners, this means bright colours, bold diagrams, and image repetition will help when studying. Enclosed is a poster for Edexcel A Level Mathematics C3, with cross-connections with most other boards including AQA.The posters are A4 documents, split into boxes with bold colourful information in each. They are well used scattered around a room or the house, so constant viewing of the posters will help you remember the information that in on them. This is a technique that I have passed on to help many students through GCSE and A level.The topic included is: Modulus Diagrams

By brent_wheeldon123

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Everything Bundle Part 3 of 3 (Contains Most Recent Resources)

Everything Bundle Part 3 of 3 (Contains Most Recent Resources)

Over £50 Pounds worth of Resources for a crazy price, SPECIAL OFFER TODAY ONLY.20 Resources. Over 40 Lessons worth of resources.Each lesson being 50 minutes worth.Great for whole lesson or quick fire revision.You are guaranteed to be happy with what you are buying. Great bargain !!!Please look at each resource individually for details.

By Shamster

A-Level (C1): Quadratic Graphs including solving quadratic inequalities (2 lessons + worksheet)

A-Level (C1): Quadratic Graphs including solving quadratic inequalities (2 lessons + worksheet)

This is to teach the different elements of quadratic graphs or quadratic functions. The PowerPoint is split into 2 lessons, but this obviously depends on the strength of the relative A-Level class. The 2 lessons include starters, plenaries, activities with answers, but most importantly very clear teaching slides and key words to build a strong understanding among learners. I have included this as a bundle with solving quadratic equations using different methods to have a complete teaching and resource bundle to teach chapter 2 of the A-Level C1 content.NOTE: Feel free to browse my shop for more excellent free and premium resources and as always please rate and feedback, thanks.

By ajf43

A-Level (C1): Chapter 2 - Quadratic Functions and Graphs (5 lessons + Resources)

A-Level (C1): Chapter 2 - Quadratic Functions and Graphs (5 lessons + Resources)

1. Solving quadratic functions by factorising 2. Solving quadratic functions by completing the square 3. Solving quadratic functions by using the formula 4. Quadratic Graphs/ Functions 5. Quadratic Graphs/ Functions including inequalities This is perfect for teaching chapter 2 of C1, and all leassons include resources and answers, lots of little activities, excellent teaching slides, starters, plenaries, key words and learning objectives. This is a very thorough amount of resources and some you may not need, but I also use them for my top sets in year 11 as well. NOTE: Feel free to browse my shop for more excellent free and premium resources and as always please rate and feedback, thanks.

By ajf43

AS Tranformations of functions

AS Tranformations of functions

An introduction to transforming functions for C1. The worksheet provided has axes for students to draw the transformed functions. The second lesson moves away from using the coordinates and includes an example of an exam question.

By 2molarHCl

AS Change of base formula and exponentials

AS Change of base formula and exponentials

A lesson that covers using the change of base formula for logarithms and sketching different exponential functions, with the aim for students to see for themselves the key aspects of the graphs.

By 2molarHCl

AS Roots and the discriminant

AS Roots and the discriminant

A powerpoint for C1 that covers using the quadratic formula, what roots are and how the discriminant can be used to determine the number of roots a function has.

By 2molarHCl

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Algebra Revision

Algebra Revision

SPECIAL PRICE ONLY TODAY!! £50 worth of resources for a crazy price. SPECIAL OFFER TODAY ONLY!This Bundle Contains 16 of the best Algebra Resources. Ideal for whole lessons or revision. Very well planned so ideal for either mode. Solving Quadratic Equations (Factorising, Completing Square and Formula), Great for whole lesson or quick fire revision as questions contain in depth answers. Solving Simultaneous Equations (Elimination, Substitution, Linear and Quadratics) comes with Questions and Solutions. Bonus Hexagon Puzzle for Indices. It also now includes Inequalities. Great for Revision or Whole Lessons. Read on for full details. Quadratic Equations:Written by an Outstanding practitioner from an Outstanding School.This resource contains:1) A 23 slide power point containing explanation, questions and in depth answers/solutions on:a) Drawing quadratics.b) Factorising and solving quadratics.c) Completing the squared) Solving after completing the square.e) Solving using the quadratic formula.f) Sketching and using the Discriminant.2) 6 Exercises/questions on the below 6 points: The exercises are on the power point and on a word document for you to choose how to use them.a) Drawing quadratics.b) Factorising and solving quadratics.c) Completing the squared) Solving after completing the square.e) Solving using the quadratic formula.f) Sketching and using the Discriminant.3) Full in depth answers to the above 6 exercises, this is fantastic tool for support and extension. The Answers are on a word document, great for you and your students to check answers and use as a guide to support and differentiate.There is 3 hours worth of lesson resources. Simultaneous Equations:Written by an Outstanding practitioner from an Outstanding School.This resource contains:1) A 17 slide power point containing explanation, questions and in depth answers/solutions on:a) Solving Simultaneous Equations (Elimination Method).b) Solving Simultaneous Equations (Substitution Method).c) Solving Simultaneous Equations Linear and Quadratic (Substitution Method).2) 3 Exercises/questions on the below 3 points: The exercises are on the power point and on a word document for you to choose how to use them.a) Solving Simultaneous Equations (Elimination Method).b) Solving Simultaneous Equations (Substitution Method).c) Solving Simultaneous Equations Linear and Quadratic (Substitution Method).3) Full in depth answers to the above 3 exercises, this is fantastic tool for support and extension. The answers are on a word document, great for you and your students to check answers and use as a guide to support and differentiate.4) 3 Exam Questions with Mark Scheme.There is minimum 2 hours worth of lesson resources.Kindly review after purchasing. Thanks.

By Shamster

Core 2 (Edexcel) Revision

Core 2 (Edexcel) Revision

Here is my power point trying to structure questions for C2 from past papers. I have split the paper into 9 sections and tried to group questions together. All solutions are given at a click. For use by giving to pupils and leaving them to it, or working through topics as a class. Every question from 2006-present. Also works extremely well on iPads.

By supergenau

Core 1 (Edexcel) Revision

Core 1 (Edexcel) Revision

Here is my power point trying to structure questions for C1 from past papers. I have split the paper into 11 sections and tried to group questions together. All solutions are given at a click. For use by giving to pupils and leaving them to it, or working through topics as a class. Every question from 2006-present. Also works extremely well on iPads.

By supergenau

Core 3 (Edexcel) Revision

Core 3 (Edexcel) Revision

Here is my power point trying to structure questions for C3 from past papers. I have split the paper into 7 sections and tried to group questions together. All solutions are given at a click. For use by giving to pupils and leaving them to it, or working through topics as a class. Every question from 2006-2014. Also works extremely well on iPads.

By supergenau

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IGCSE Math Worksheet Bundle

IGCSE Math Worksheet Bundle

IGCSE Mathematics Worksheet Bundle1.Inverse of Functions Worksheet2. Numbers Worksheet3. Sequences Worksheet4. Probability

By TES_KM

Inverse Functions – Math puzzle

Inverse Functions – Math puzzle

Inverse Functions – Math puzzleMatch the functions with their inverse functions.I’ve included three different sizes of the same puzzle. The smaller size is only three pages and it is great if you are going to print of individual copies for students to practice with in class or at home. The larger size requires 6 pieces of paper and quite a bit of space to solve – fun for centers and group work. The extra-large size requires 18 pieces of paper.Cut out the puzzle pieces (or even better if your students do it themselves) and students are to solve the puzzle so that it matches the solution provided. I’ve been using these puzzles for years with great success! I recommend printing the puzzles on colourful paper and laminating them. This way you only have to cut them out once and they will last for years!What is included in this product?• The solution to the puzzle – Page 3• The normal size puzzle – Pages 4 – 5• The large size puzzle – Pages 6 – 11• The extra-large size puzzle – Pages 12-27• Questions and Answers in a table format for easy grading or you can cut these out to play a matching game – Pages 28 – 29My students love doing these types of puzzles.This product can also be used as a perfect revision of the school work to do at home. All answers can be easily checked thanks to the included solution to the puzzle or questions and answers shown in a table.Thank you for checking my resources.

By NewMathWorld

VCE Mathematical Methods Unit 1 Functions

VCE Mathematical Methods Unit 1 Functions

Domain and range, piecewise functions, implied domain, domain restrictions, modelling with functions and function notation, inverse functions. CAS activities to enhance understanding.

By bgm2016

BUNDLE All things algebra

BUNDLE All things algebra

This bundle includes 15 different algebra related resources which suit a range of abilities from simplifying expressions to solving linear and quadratic simultaneous equations. All resources are available separately and will be part of a bundle by activity type, return buyers should check carefully. Contact me if you would like to see resources bundled in a different way.

By NumberLoving

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Bundle - Math  Revision worksheet

Bundle - Math Revision worksheet

Math Revision worksheet bundle includes 1. inverse of functions worksheet 2. Numbers Worksheet 3. Transformation workshee Enlargement 4. Transformation worksheet - Reflections, rotations & Translations

By TES_KM

Solving Trigonometric Equations with Radians (Graphically)

Solving Trigonometric Equations with Radians (Graphically)

A fully animated lesson on solving trigonometric equations in radians using graphs. This was taught for an AS group sitting the AQA spec, which the textbook exercises relate to. Starter focuses on converting between radians and degrees and how to plot the 3 trig functions in radians. Examples then focus on solving basic trig equations, solving with an adjusted interval and finally solving after using trig identities to simplify an equation with two or more trig functions. I also used the excellent Tarsia resource recommended by MrBartonMaths which can be found at https://www.tes.com/teaching-resource/tarsia-solving-trig-equations-radians-6115949. Please leave a review!

By rorymathews