#### Algebra for GCSE/IGCSE worksheets (with solutions)

A large collection of 24 worksheets (254 pages) on selected topics from algebra: Algebraic manipulation Substitution into formulae Simplifying expressions by collecting like terms Collecting like terms (expressions with different variables) Multiplying a single term over a bracket Expanding double brackets Factorisation Quadratic factorisation 9.Indices Rearranging formulae Inverse functions Composite functions Equation of a straight line Parallel and perpendicular lines Solving linear equations Solving quadratic equations by factorising Quadratic formula Completing the square and solving quadratic equations by com- pleting the square Simultaneous Equations -Elimination Simultaneous Equations -Substitution Simultaneous Equations One Linear, One Quadratic Linear inequalities Quadratic inequalities The nth term of linear and quadratic sequences Designed for the GCSE/IGCSE specification. Detailed solutions are included. From https://placeformath.blogspot.com/p/worksheet-shop.html

#### Differentiation Revision Notes 1

4 pages of concise revision notes on basic differentiation. This includes a table of various functions and their differentials, definitions, maxima and minima, chain rule, product rule and quotient rule. Links to useful resources are also added. Supplementary examples will be added in future, provided these notes are useful to students.

#### Set Theory PowerPoint and Handouts

An extensive introduction to Set Theory, generally aimed at Computer Science A Level students, A Level Mathematicians or first year Undergraduate students in either Computer Science or Mathematics. It is intended to cover two lessons, extra examples and discussion may be required if aiming at a lower ability. Includes: A simple starter to encourage discussion on how to categorise numbers, as well as how many there may be e.g. how many natural numbers are there? A handout featuring all definitions given in the PowerPoint A PowerPoint covering set notation, intersections, unions, set comprehension and set compression. More resources can be added upon request. Please do give feedback/suggestions!

#### Modelling with sine and cosine functions

Power Point presentation, 14 slides, Explaining how to find the a function to model a set of data from a periodical phenomena, based on IB Standard Level Syllabus. For a preview of the power point copy the following link on your browser:

#### Calculus Quiz - Integration by Alg Sub 2 - Algebraic Integrands w/ Solutions

Subject: Calculus Grade Levels: 10th, 11th, 12th, Higher Education, Adult Education, Homeschool Resource Type: Examinations/Quizzes This is the second quiz in the Integration by Algebraic Substitution series. These problems are dealing with integrals that have only algebraic integrands. Included is a separate set of very detailed step-by-step solutions.

#### Maths A level revision questions

This bundle includes question/answer files aimed at revising the topics from A level maths, and especially the Core 3 and Core 4 topics.

#### 9 GCSE/IGCSE Math worksheets (with solutions)

9 GCSE/IGCSE Math worksheets on the following topics: percentage increase and decrease, percentages, fractions and decimals, reverse percentage, functions, composite functions, domain of a function, inverse functions, simplifying algebraic fractions, equations with algebraic fractions. Detailed solutions are provided. From https://placeformath.blogspot.com.cy/p/worksheet-shop.html

#### 3 Worksheets on functions

Three worksheets on functions. The following topics are covered: domain of a function, composite functions and inverse functions. Detailed solutions are included. Good for GCSE/IGCSE students. From https://placeformath.blogspot.com.cy/p/worksheet-shop.html

#### Composite functions worksheet (with solutions)

A worksheet on composite functions. Solutions are included. From https://placeformath.blogspot.com.cy/p/worksheet-shop.html

#### Chain rule worksheets (with answers)

Three worksheets on differentiating using the chain rule. Good for A' Level students. From https://placeformath.blogspot.com.cy/p/worksheet-shop.html

#### Derivatives of trigonometric functions worksheet (with solutions)

A worksheet on derivatives of sine, cosine, tangent, cotangent, secant and cosecant and the chain rule. Detailed solutions are included. From https://placeformath.blogspot.com.cy/p/worksheet-shop.html

#### Functions lesson with differentiated worksheet

A lesson on functions along with exam questions, differentiated questions and answers, assessment opportunities and a more complex differentiated worksheet aimed at challenging the SOMA/higher ability students. Covers substituting into basic and complex functions, solving linear, quadratic and algebraic functions and composite functions. Really great resource.

#### Algebra: Cubic Graphs & Factor Theorem (+ resources) - perfect for higher tier & AS level

This is a whole lesson. 20 slides + resources. It starts looking at drawing cubic graphs, before quickly moving on to looking at sketching them and developing the understanding and skills to do so. It looks at working out the key points needed and using the factor theorem and factorising in order to do so. The lesson comes with a starter, several little MWB activities, worksheet, excellent teaching slides, a handout of all the different graphs and plenary. NOTE: Feel free to browse my shop for more free and premium resources! As always please RATE and FEEDBACK (comments good or bad) thank you!

#### Domain of a function- Inverse function worksheets (with detailed solutions)

Two worksheets on finding the domain and the inverse function of a given function. Detailed solutions are included. From https://placeformath.blogspot.com.cy/

#### One Variable Equation / Linear Equation Lesson Ppt

These are the lessons plans and power points for one variable / linear equations. One variable is a more suitable description, as the lessons eventually leads to some very demanding multi (5+) steps, repeated fraction questions, as well as questions where the unknown initially appears on both sides. Students are first introduced to the basic principles of algebra which stealthily guides all that they do. Then they apply that knowledge to learn strategies to solve one variable equations. There are three lessons, and should be taught in that order. The bundle contains both the lesson presentations with 'overlay animations', where steps are reviewed one at a time. There is also an accompanying presenter view pdf for teachers for each lesson ppt. The documents are prepared meticulously with LaTeX, I hope you find these useful. In addition, you can get unlimited number of high quality practice questions and solutions for linear equations on my website: www.onemathsquestions.com You can generate the worksheets yourself, and each question will come with a set of very detailed step by step solutions, set out in exactly the same way as the lesson presentation examples. PS: Any comments or suggestions are very welcome, through TES or my website. In addition, if you need a particular type of question, you can ask me to make them for you (for free), sometimes I may just do it for you! Best wishes, Joe

#### Differentiation

16 Powerpoints presentation for the following topics: Limits and convergence Basic rules for derivative The equations of tangent and normal lines Basic rules of derivatives The derivative of e^x and the derivative of ln x The product rule The quotient rule The chain rule for composite functions The second derivative and higher order derivatives Rate of change Velocity and acceleration functions Relative and global extrema Concavity Sketching a graph Optimisation problems

#### Function inverses multiple choice misconception quiz

Find the correct inverse of the displayed function from the four choices. Only one is ever correct, and the others are designed to find misconceptions. Slides are timed and move on automatically. It is deliberately similar to a Kahoot quiz, as I can't figure our how to display decent mathematical notation on there, but like the way it is done generally. Answers included at the end.

#### Composite functions and Inverse functions (new GCSE grade 9-1 content) - 3 LESSONS!

Ideal resource for teaching the new GCSE (Grade 9-1) topic of composite functions and inverse functions. There is enough material for 2 to 3 lessons. Split into four sections. Each has examples that the teacher can model, questions pupils can practice (+ answers!). Section 1: Substituting values into functions, e.g. f(-1) when f(x) = 2x - 5 Substituting values into composite functions e.g. fg(2) when f(x) = 2x + 1 and g(x) = 3x - 1 Section 2: Using composite functions, e.g. Work out fg(x) when f(x) = x² + 1 and g(x) = x - 3 Section 3: Solving functions and composite functions, e.g. Solve f(x) = 0 when f(x) = 2x - 7 e.g. Solve f(x) = g(x) when f(x) = x - 5 and g(x) = x² - 2 Section 4 : Using inverse functions, e.g. f¯¹(x) when f(x) = 2x - 1 or f¯¹(x) when f(x) = x/x + 3 Plenty of material for 2 to 3 lessons across these topics -answers to questions included.

#### Topic 2: Functions and equations (IB Standard level)

Including all the Power point presentations for the Topic 2 -Functions and equations, based on the IB Mathematics SL Syllabus. The sub topics are: Introducing functions The Domain and the Range Function Notation Composite functions Inverse functions Transforming functions Solving quadratic equations The quadratic formula Roots of quadratic equations Quadratic graphs y=ax2+bx+c Quadratic graphs y=a(x-h)2+k Quadratic graphs y=a(x-p)(x-q) Finding the equation of a quadratic function from a graph The reciprocal function Rational functions Exponential functions Transformations of Exponential functions Logarithmic functions Applications of exponential and logarithmic functions

#### Algebra Bundle 20% off

A bundle of my algebra premium resources, Algebraic Fractions, Compositie Functions, Iterations, Equations of Linear Graphs,, Substitution, Roots and Turning Points. All fully differentiated and suitable for new curriculum with plenty of problem solving, reasoning ect. Soltions for all tasks included.

#### Piecewise and Absolute Value Functions Matching Game

This is a matching activity. The students are given 6 of each of the following: table of values, absolute value functions, piecewise functions, and graphs. They have to make 6 matching sets (table of values, absolute value function, piecewise function and a graph). 4 pages total. Answer key is included.

#### Composite Functions

A series of lessons (2-3) on finding and solving equations of composite functions. It gives the pupils plenty of opportunity to become familiar with the notation of f(x) ect and using this to substitute numbers into an expression. It then gives pupils the chance to find fg(x) ect and then moves onto solving equations suh as fg(x) = gf(x). There are also problem solving tasks to develop pupils learning. All tasks are differentiated, 2-4 levels for each task to make it accessible to all pupils but also to stretch the more able. All tasks have full solutions to it is easy to peer and self assess during the lesson. The lesson includes reasoning and problem solving tasks which ensure that this is suitable for the 9-1 GCSE curriculum. I have used this lesson and pupils were engaged yet challenged.

#### A level maths - 2nd year

Selection of presentations that cover most of the 2nd year pure maths in the A level maths course

#### Multivariable Functions

Multivariable Functions is one of the topic which is covered during Mathematics lectures and seminars in order to enhance students knowledge. During this Lecture and Seminar we are covering following subtopics (Agenda): - Space Rn - Multivariable functions and their properties - Applications of multivariable functions In this File you will find: - 1 Multivariable Functions Lecture Power Point Presentation - 1 Seminar Plan - 21 Seminar Activities with full answer list for students All covered materials are taught for bachelor level students Level 3. Please write your comments once you purchase this lesson in order to have some suggestions for further improvements of teaching materials.

#### Derivative of Univariable Functions

Derivative of Univariable Functions is one of the topic which is covered during Mathematics lectures and seminars in order to enhance students knowledge. During this Lecture and Seminar we are covering following subtopics (Agenda): - Meaning of derivatives - Differentiation rules of univariate functions - Applications of derivatives In this File you will find: - 1 Derivative of Univariable Functions Lecture Power Point Presentation 28 Slides - 1 Seminar Plan - 19 Seminar Activities with full answer list for students All covered materials are taught for bachelor level students Level 3. Please write your comments once you purchase this lesson in order to have some suggestions for further improvements of teaching materials.

#### Mathematics of Finance

Mathematics of Finance is one of the topic which is covered during Mathematics lectures and seminars in order to enhance students knowledge. During this Lecture and Seminar we are covering following subtopics (Agenda): - Indices and logarithms and their rules - Exponential functions - Applications of exponential functions - Limit and continuity of functions In this File you will find: - 1 Mathematics of Finance Lecture Power Point Presentation 28 Slides - 1 Seminar Plan - 19 Seminar Activities with full answer list for students All covered materials are taught for bachelor level students Level 3. Please write your comments once you purchase this lesson in order to have some suggestions for further improvements of teaching materials.

#### 1-9 GCSE EXAM PAPER ON COMPOSITE AND INVERSE FUNCTIONS

A GCSE paper made up of differentiated questions on composite and inverse functions. This is a 1 hour activity. Step-by-step worked solutions are provided. The questions get harder as you go along.

#### Roots and Turning Points

A series of lessons (2-3) on finding the roots and turning points equations. It recaps the skills required such as solving, factorising and completing the square on a quadratic and then develops these skills to find roots and turning points of an equation. There are plenty of reasoning tasks suitable for the new curriculum and this stretches the more able to understand the properties of graphs. There are also algebraic questions and links it to sketching graphs. All tasks are differentiated to 3 or 4 levels to allow the skill to be practiced and then to stretch and challenge the more able. All tasks have either worked solutions or typed solutions so that the pupils can self mark. This has been used with top set year 11, all pupils engaged and made good progress.

#### 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.

#### 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.

#### Extension - Function fixed points

A powerpoint presentation to introduce the idea of functions having 'fixed points'. For example, the fixed point of f(x) = 2x - 5 is when x = 5. Goes on to talk about 2D fixed points, before finishing with a riddle that can be solved by thinking about fixed points.

#### Mathematics Core 3 C3 and Core 4 C4 Lessons

Mathematics Core 3 C3 and Core 4 C4 Lessons This is a set of lessons for A2 Core Mathematics. The resources includes Powerpoints. Powerpoint include: Learning objectives Questions on the topic Important information written in red boxes to scaffold learning. Topics: Functions Trigonometry Exponentials and Logarithms Product Rule Quotient Rule Differentiation and Integration of Trigonometry Roots to equations (staircase and cobweb diagrams) Integration using the chain rule Integration using the rule of Logarithms Integration by Substitution Integration by Parts Mid ordinate rule and Simpsons Rule Expansion formula Algebra Partial Fractions Applications of Partial Fractions Implicit differentiation Tangents and normals Parametric Equation and Differentiation Exponential Growth and Decay Differential Equations Vectors I 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.

Suitable for Years 10/11/12/12. Add Maths and A level Maths. Plenty of practice questions on Functions.

#### 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 .

#### Geometry: Trigonometry / Trig Bundle - 9 lessons (perfect for the new GCSE / IGCSE)

This bundle includes so much on different areas of trig at both NEW GCSE/ IGCSE and many aspects included in AS Level . There is no content here just for A-Level as I designed the bundle to thoroughly teach all aspects needed for the most able at KS4. However, I do have additional lessons that are just for A-Level only. This is one of my best bundles and I highly recommend these resources, mainly have taken over 10 years to perfect. Lesson 1 - An Introduction to Trig Lesson 2 - Basic Trig (soh cah toa) Lesson 3 - Trig in 3D Lesson 4 - Sine rule Lesson 5 - Cosine rule Lesson 6 - Trig area rule Lesson 7 - Spaghetti Lesson Lesson 8 - Drawing Basic Trig Graphs Lesson 9 - Amplitude and Period NOTE: Feel free to browse my shop for more free and premium resources! As always please RATE and FEEDBACK (comments good or bad) thank you!

#### Geometry: Trigonometry 9 - Trig Graphs (Amplitude and Period) + matching activity

This is designed to be the third 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 slides, excellent teaching material and examples throughout, lesson objectives, answers, a starter and a plenary. 16 slides. This lesson does come as a much larger bundle on teaching trigonometry, which I do highly recommend as the lessons do form a sequence and do build on each other. NOTE: Feel free to browse my shop for more free and premium resources! As always please RATE and FEEDBACK (comments good or bad) thank you!

#### Geometry: Trigonometry 8 - Drawing basic Trig Graphs (+ Questions)

This is designed as a second lesson on trig graphs, building on the excellent spaghetti lesson 7... this with the previous lesson gives an excellent foundational understanding of trig graphs, which makes all other lessons much easier. 27 slides. This lesson goes into a lot of detail to explain different aspects, and so is content/ teacher heavy with 27 slides, but has lots of little activities and lots of custom animation. This is part of a much larger bundle on trigonometry, which I highly recommend as the lessons are in sequence and do build on each other. NOTE: Feel free to browse my shop for more free and premium resources! As always please RATE and FEEDBACK (comments good or bad) thank you!

#### 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.