Advanced pure teaching resources: Further functions

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

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

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

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

Sale
Geometry: Trigonometry (Trig) 8 lesson bundle - perfect for GCSE/IGCSE

Geometry: Trigonometry (Trig) 8 lesson bundle - perfect for GCSE/IGCSE

Lesson (1 - 3) - very detailed look at what I call basic Trig (soh,cah,toa) Lesson 4 - sine rule Lesson 5 - Cosine rule Lesson 6 - Trig area rule Lesson (7 -8) - trig graphs ... there is quite a lot of A-Level (C1) material involved, however, additional A-Level material (C2-C4) will be uploaded separately. This is perfect for covering ALL aspects of the KS4 curriculum, whether iGCSE or GCSE. NOTE: Feel free to browse my shop for more excellent free and premium resources, and as always please rate and feedback, thanks.

By ajf43

Mathematics Core 3 C3 and Core 4 C4 Lessons

Mathematics Core 3 C3 and Core 4 C4 Lessons

Mathematics Core 3 C3 and Core 4 C4 LessonsThis is a set of lessons for A2 Core Mathematics. The resources includes Powerpoints.Powerpoint include:Learning objectivesQuestions on the topicImportant information written in red boxes to scaffold learning.Topics:FunctionsTrigonometryExponentials and LogarithmsProduct RuleQuotient RuleDifferentiation and Integration of Trigonometry Roots to equations (staircase and cobweb diagrams)Integration using the chain ruleIntegration using the rule of LogarithmsIntegration by Substitution Integration by PartsMid ordinate rule and Simpsons RuleExpansion formulaAlgebraPartial FractionsApplications of Partial FractionsImplicit differentiation Tangents and normalsParametric Equation and Differentiation Exponential Growth and DecayDifferential EquationsVectorsI hope you enjoy these lessons, they can be used in the following ways:To deliver a course with reduced planning but not reducing quality of the lesson.As a basis for an observation lesson to save time preparing resources.To give to students for out of lesson learning.To support teachers who are new to this topic, again to reduce planning time.As a bases for your own lessons where you can include exam questions to each presentation.As an activity where the questions can be printed and cut out.

By n_s4

Plotting Rational Functions

Plotting Rational Functions

A large selection of presentations and activities that show the learners how to sketch rational functions. It includes intercepts, asymptotes and also looks at substituting small and large values of x so students can collect all the data needed to sketch the graphs.Also includes finding the min/max point on a graph without using calculusSMART Notebook Express presentations can be used for free by using SMART online or by downloading SMART software, also free, I use it because it allows a more interactive presentation than a powerpoint. Just search 'SMART Notebook Express' and try it with my free SMART resource.

By al_robinson76

Modelling exponential growth and decay.

Modelling exponential growth and decay.

Modelling exponential growth and decay. Effective use of technology. Carefully chosen examples with full solutions. The zipped file contains student handout, teacher handout and tns file.

By bgm2016

Geometry: Trig Graphs 2 - Further Trig Graphs (+ matching activity)

Geometry: Trig Graphs 2 - Further Trig Graphs (+ matching activity)

This is designed to be the second lesson on trigonometric graphs looking at the amplitude and period as well as equivalent values. This comes with an excellent matching activity, as well as questions on the slide, excellent teaching slides, lesson objectives, a starter an plenary. I normally at a KS4 level, whether GCSE/ iGCSE over two lessons, with additional lessons needed for different modules at A-Level. I will again look to upload additional lessons in the future. NOTE: Feel free to browse my shop for more excellent free and premium resources and as always please rate and feedback, thanks.

By ajf43

Geometry: Trig Graphs 1 - Drawing basic trig graphs

Geometry: Trig Graphs 1 - Drawing basic trig graphs

This is designed as a first lesson or introduction to trig graphs. It is pretty extensive with 27 slides, lots of little activities and animation. I often follow this lesson up with the 'Spaghetti Lesson' and will look to upload this at some point. I normally at a KS4 level, whether GCSE/ iGCSE over two lessons, with additional lessons needed for different modules at A-Level. I will again look to upload additional lessons in the future. NOTE: Feel free to browse my shop for more excellent free and premium resources and as always please rate and feedback, thanks.

By ajf43

C3 / C4 revision package! Super discount!

C3 / C4 revision package! Super discount!

A super package of C3 / C4 revision files with thousands of questions. Includes trigonometric relations, vectors, integrals (how do you work them out?) and mixed questions with extra topics, at a discounted price!

By JChamboredon

Implicit and Parametric functions

Implicit and Parametric functions

A pair of presentations that explain what Implicit and Parametric functions are and how you can differentiate them. Presentations have detailed explanations and clear worked examples of exam style questions.SMART Notebook Express presentations can be used for free by using SMART online or by downloading SMART software, also free, I use it because it allows a more interactive presentation than a powerpoint. Just search 'SMART Notebook Express' and try it with my free SMART resource.

By al_robinson76

Composite functions + complex numbers

Composite functions + complex numbers

The topics in this resource covers the requirements of the new GCSE Mathematics syllabus and provides an easy to follow explanation of the topics of composite functions and complex numbers. The resource is suitable for the higher GCSE pupils.

By nouchinjohn

Inverse functions

Inverse functions

This bundle is prepared in accordance with the requirements of the new content (the new GCSE syllabus). The resource in an easy tofollow step by step manner explains the nature of the topic and helps the pupils to solve any relevant problems with ease and confidence.

By nouchinjohn

All about cubic roots

All about cubic roots

This resource is carefully prepared to help the higher GCSE pupils with the understanding of the cubic roots. The easy to follow contents of the lessons will help the pupils to understand what they need to do in order to solve the relevant given problems with ease and confidence.

By nouchinjohn

Modulus Fuction

Modulus Fuction

This large presentation introduces the modulus function and its graph. It covers how to sketch a modulus graph and also has questions for students to do. It then moves into solving modulus functions both algebraically and using the graphs. SMART Notebook Express presentations can be used for free by using SMART online or by downloading SMART software, also free, I use it because it allows a more interactive presentation than a powerpoint. Just search 'SMART Notebook Express' and try it with my free SMART resource.

By al_robinson76

Inverse Function, Range, Domain and Composite Functions

Inverse Function, Range, Domain and Composite Functions

A selection of presentations that shows learners how to find the inverse of a function. The presentations also clearly explains the range and domain of a function. The composite functions presentation starts basic explaining how to use function notation and then leads onto more complicated examples and questions for learners to attempt. Also includes a range and domain jigsaw for students to use to create a poster. SMART Notebook Express presentations can be used for free by using SMART online or by downloading SMART software, also free, I use it because it allows a more interactive presentation than a powerpoint. Just search 'SMART Notebook Express' and try it with my free SMART resource.

By al_robinson76

Mathematical Ambiguity & topic relationships

Mathematical Ambiguity & topic relationships

A presentation exploring ambiguity in the operations and objects of Maths and a set of concept maps that connect various topics of GCSE and IB/A level syllabuses. Quadratic, Log, Trigonometric and Functions are mapped in detail. Useful crossover introductory material that can provide some meaning and context in helping to make some connections between otherwise disparate fields. The presentation develops five areas in which the terms and processes of mathematics are inherently ambiguous: from the irrationals and infinity, the variable as a receptacle, the filling of the number line, forming operations with numbers to the notion of equality and sameness. That is from a number being both a noun (a fractional object) and a verb (process of adding a convergent series of rationals). That algebraic formulations using a variable x, allow for x in one sense to have any value ( before the equation is solved) to a specific value when it has been solved. As five separate chapters each one can serve as nonstandard provocative discussion/starter/plenary material .

By leeleemacjames

All about cubics

All about cubics

This is a must to have set of resource for A level pupils and the higher GCSE pupils. The topic is covered in three lessons. The first two lessons provide a 'supersonic,' technique for finding the roots of a cubic equation/function and the third lesson will demonstrate an easy to follow step by step method of finding the roots of a cubic equation/function by trial and error. I strongly recommend the user of tese three lessons to also look at another of my lessons on the division of polynomials published on tes in order to enhance their ability to fully benefit from these three important lessons. Generally finding the roots of cubic equations/functions is a very hard task howe ver the method which I have shown in these lessons will demonstrate how easy and quickly these roots can be found but this method is not contained in any text book that is available to the user.

By nouchinjohn

Differentiation

Differentiation

Here you'll find Power point presentations in the following topics:Introduction to limits.Basic rules for derivative.Product rule.Quotient rule.Chain rule.Derivative of e^x and ln xHigher order derivatives.Rate of change.Extrema.Concavity.Optimisation

By oralhurt

Optimization problems

Optimization problems

Power Point presentation, 11 slides, Explaining how to use the first and second derivative to maximize or minimize magnitudes in real life situations, based on IB Mathematics Standard Level Syllabus. For a preview of the power point copy the following link on your browser: https://drive.google.com/file/d/0B8z00qLZV7Olckx5Q2ZUMUxHdzQ/view?usp=sharing

By oralhurt

Finding the roots of a cubic equation/function by trial and error

Finding the roots of a cubic equation/function by trial and error

This is a must to have resource for A level pupils and the higher GCSE pupils. The topic is covered in three lessons. The first two lessons provide a 'supersonic,' technique for finding the roots of a cubic equation/function and the third lesson will demonstrate an easy to follow step by step method of finding the roots of a cubic equation/function by trial and error. I strongly recommend the user of tese three lessons to also look at another of my lessons on the division of polynomials published on tes in order to enhance their ability to fully benefit from these three important lessons. Generally finding the roots of cubic equations/functions is a very hard task howe ver the method which I have shown in these lessons will demonstrate how easy and quickly these roots can be found but this method is not contained in any text book that is available to the user.

By nouchinjohn

Inverse functions lesson 2

Inverse functions lesson 2

This lesson (lesson 2 in inverse functions) complies with the new GCSE higher tier syllabus and is prepared and is aimed to help the higher GCSE pupils to understand this topic fully and be able to solve any related questions with ease and confidence.

By nouchinjohn

Applications of exponential and logarithmic functions

Applications of exponential and logarithmic functions

Power Point presentation, 10 slides, Explaining with examples how the exponential and logarithmic functions are used in real life situations, based on IB Mathematics Standard Level Syllabus. For a preview of the power point copy the following link on your browser: https://drive.google.com/file/d/0B8z00qLZV7OlT0ZuX20wdVNneTQ/view?usp=sharing

By oralhurt

Inverse functions lesson 3

Inverse functions lesson 3

This lesson (lesson 3 in inverse functions) complies with the new GCSE higher tier syllabus and is prepared and is aimed to help the higher GCSE pupils to understand this topic fully and be able to solve any related questions with ease and confidence.

By nouchinjohn

Composite functions lesson 1

Composite functions lesson 1

This resource is carefully prepared as the result of the addition of the new contents to the higher GCSE tier. The lesson is in two parts and its easy to follow contents is aimed to help the pupils to understand this new topic properly and thereafter to enable them to solve all the related problems.

By nouchinjohn