#### 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

#### Transforming graphs of a function/ Plotting transformations with Desmos/ GeoGebra

L/O: To plot and then comment on transformations of a function. Worksheet activity where students type in basic function f(x)=x squared into Desmos or GeoGebra and then do various transformations of this function. Students plot and draw what happens on the graphs and make a comment about what they find. Comment sections are scaffolded to guide pupils in describing the transformation. The worksheet is 4 sides of A4, with a gradual increase in difficulty. I have used this with high ability year 7 and 8 classes, plus high and middle ability year 9, 10 and 11 classes. Transforming function graphs (translations and reflections of non-trigonometric graphs) is grade 7 on the new GCSE 9-1 scale. As an unprotected Word document you can edit it as required.

#### Composite Functions Mastery Worksheet

This is a mastery worksheet that encompasses fluency, reasoning, problem solving, keywords and misconceptions. The purpose of this sheet is to provide differentiation, challenge and time saving for teachers. All answers are provided.

#### 7 GCSE/IGCSE worksheets (with answers)

7 Worksheets on the following topics: bounds, speed, solving quadratic equations by factorising, simplifying algebraic fractions, perfect squares, calculus and differentiation. Detailed solutions are provided. From https://placeformath.blogspot.com.cy/p/worksheet-shop.html

#### 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.

#### FSMQ revision questions

This bundle includes revision files for the FSMQ exam.

#### Derivatives for GCSE/GCSE worksheets

Three worksheets on differentiation. Detailed solutions are provided. Good for GCSE/IGCSE students. From https://placeformath.blogspot.com.cy/p/worksheet-shop.html

#### Calculus worksheet (with solutions)

A worksheet on calculus. Good for GCSE/IGCSE students.From https://placeformath.blogspot.com.cy/p/worksheet-shop.html

#### 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

#### Functions worksheet (with solutions)

A worksheet on evaluating a function at a given value and determining the domain of a function. Solutions are included. Good for GCSE/IGCSE students 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

#### 3 Differentiation worksheets (with answers)

Two worksheets on the Chain rule and one on implicit differentiation. Solutions are provided. From https://placeformath.blogspot.com.cy/p/worksheet-shop.html

#### Transformation of Functions (Treasure Hunt)

This activity helps to strengthen students' skills in substituting one algebraic expression into another. Click --&gt; https://tes.com/.../Treasure Hunts for similar style Treasure Hunts on 40 other topics. -- Note that unlike most Treasure Hunts, this one has the added feature that the answers give an encrypted clue. Deciphering this clue reveals where the treasure is hidden! A Treasure Hunt is a great activity which children love. They are ideal for revision, starters or plenaries. They are a really great way to get students to answer questions quickly and enjoy doing so. These question cards have been prepared in two sizes. The large cards can be pinned around around the classroom and used for a whole class activity; the smaller (loop cards) can be used for group work or by individuals – they are particularly helpful for one-to-one tutorials and during interventions.

#### Algebra: Quadratic Graphs BUNDLE (3 Lessons) - ideal for years 10 - 12

This is a three lesson sequence of lessons on quadratic graphs, with the first two containing the material needed for GCSE and the third lesson the additional material needed for AS-Level. 1. Introduction 2. Gradients and Other Problems 3. Further Problems 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!

#### The Algebra 2 Bundle - Quadratics, Polynomials, Trigonometry

A bundle of ALL our Algebra 2 activities! We will be constantly adding to this pdf. Every time we upload a new Algebra 2 activity we will also add to here so you will always receive our newest work!

#### 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/

#### Domain of a function worksheet (with solutions)

A worksheet on finding the domain of a given function. Solutions are included. From https://placeformath.blogspot.com.cy/

#### Trigonometry Bundle

This Trigonometry bundle covers all our current trig lessons. Every time we upload a new trigonometry lesson we will update this file. Get it now before the price goes up with new uploads! Currently included: Trigonometry Task Cards Complex Numbers Scavenger Hunt Converting Between Radians and Degrees Multiplying Complex Numbers Periodic Functions Trig Functions Scavenger Hunt Trig Ratio STations Trig Relay Race Review Unit Circle Scavenger Hunt You may also like: 15 Poster - Quadratic Formula Scavenger Hunt Quadratic Function Activity Bundle 16 Sequences Task Cards - Geometric and Arithmetic Explicit Formulas The Algebra 2 Bundle - Quadratics, Polynomials, Trigonometry

#### Functions

Three worksheets on the following topics: changing the subject of a formula, inverse functions and exponential and logarithmic functions. From https://placeformath.blogspot.com.cy/

#### 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.

#### Inverse functions worksheet (with solutions)

A worksheet on finding the inverse of a function. Detailed solutions are included. Good for GCSE/IGCSE students. From: https://placeformath.blogspot.com/p/worksheet-shop.html

#### Solving Equations with Functions (Differentiated Questions)

A set of differentiated questions on solving equations with functions. Students will need prior knowledge of solving linear and quadratic equations, as well as substituting expressions into a function. There are three levels of difficulty: mild questions, such as: f(x) = 5x + 1, solve f(x) = 2 spicy questions, such as: f(x) = 5x + 1, solve f(x + 1) = 2 extra hot questions, such as: f(x) = 5x + 1, g(x) = 2x, solve f(x + 1) = g(3x) The resource includes a 'check-in' question. This can be attempted on mini-whiteboards to give you and the students an idea of how well they understand the topic. The feedback from the question will help students to choose which set of questions to answer, and will tell you who needs extra support. Full solutions are included, making it easy for you or your students to mark.

#### Evaluating Functions (Differentiated Questions)

A set of differentiated questions on evaluating functions. There are three levels of difficulty: substituting a value into a function (mild) substituting an expression into a function (spicy) substituting a binomial expression into a quadratic function (extra hot) The resource includes a 'check-in' question. This can be attempted on mini-whiteboards to give you and the students an idea of how well they understand the topic. The feedback from the question will help students to choose which set of questions to answer, and will tell you who needs extra support. Full solutions are included, making it easy for you or your students to mark.

#### Inverse and composite functions - 2 complete lessons with mastery worksheets

A complete lesson on inverse functions and a complete lesson on composite functions which both include a mastery worksheet. The lessons include a starter activity, a clear explanation of the concepts and loads of examples on how to calculate inverse and composite functions. The mastery worksheets are split into 3 sections (fluency, reasoning and problem solving) so students can master the topic. On the composite functions, it also includes an AQA exam question at the end so students can see how many marks would be awarded in the exam. Answers for both worksheets are included and the lessons include a plenary. If you would like to change the year in the PowerPoint (I have taught this topic to year 10) all you need to do is to view slide master and change the master slide.

#### Functions - 3 complete lessons with mastery worksheets

This is a set of 3 complete lessons on functions. The first one is an introduction to function notation, the second is on how to calculate inverse functions and the last one is on how to calculate composite functions. Each one can be taught separately or in a sequence of lessons. The lessons include a starter activity, a clear explanation of the concepts and loads of examples on how to manipulate functions. The mastery worksheets are split into 3 sections (fluency, reasoning and problem solving) so students can master the topic. The introduction worksheet also includes a challenge question at the end involving finding roots of a cubic function and the composite functions worksheet includes an AQA exam question at the end so students can see how many marks would be awarded in the exam. Answers for all worksheets are included and the lessons include a plenary. If you would like to change the year in the PowerPoint (I have taught this topic to year 10) all you need to do is to view slide master and change the master slide.

#### Inverse functions - complete lesson with mastery worksheet

This is a complete lesson on inverse functions and includes a mastery worksheet within the powerpoint. The lesson includes a starter activity based on rearranging equations (from AQA's topic tests). A clear explanation on what an inverse function is and how to calculate inverse functions. 2 full examples on calculating inverse functions. A couple of questions for the students to try altogether before the worksheet. A mastery worksheet split into 3 sections (fluency, reasoning and problem solving) so students can master the topic. Answers for the worksheet. Plenary question getting students to think about whether all functions have an inverse. If you would like to change the year in the PowerPoint (I have taught this topic to year 10) all you need to do is to view slide master and change the master slide. If you are looking for an inverse functions worksheet, I have uploaded my worksheet separately, the link for this is below. https://www.tes.com/teaching-resource/inverse-functions-mastery-worksheet-11696116

#### Introduction to function notation - complete lesson with mastery worksheet

This is a complete lesson providing an introduction to function notation and includes a mastery worksheet within the powerpoint. The lesson includes a starter activity based on finding missing values in function machines. A clear explanation on what a function is and how to substitute and solve a variety of equations using function notation. 2 full examples on substituting values into functions and 1 full example on how to calculate the input value given the output value (solving equations) . A few questions for the students to try altogether before the worksheet. A mastery worksheet split into 3 sections (fluency, reasoning and problem solving) so students can master the topic. It also includes a challenge question at the end involving finding roots of a cubic function. Answers for the worksheet. Plenary question getting students to think carefully about the input values given the output value. If you would like to change the year in the PowerPoint (I have taught this topic to year 10) all you need to do is to view slide master and change the master slide. If you are just looking for an introduction to function notation worksheet, I have uploaded my worksheet separately, the link for this is below. https://www.tes.com/teaching-resource/introduction-to-function-notation-mastery-worksheet-11700290

#### Composite functions - complete lesson with mastery worksheet

This is a complete lesson on composite functions and includes a mastery worksheet within the powerpoint. The lesson includes a starter activity based on substituting values into functions. A clear explanation on what a composite function is and how to calculate composite functions. 4 full examples on calculating composite functions. (2 with an input of a number, 2 with an input of a variable) A few questions for the students to try altogether before the worksheet. A mastery worksheet split into 3 sections (fluency, reasoning and problem solving) so students can master the topic. It also includes an AQA exam question at the end so students can see how many marks would be awarded in the exam. Answers for the worksheet. Plenary question getting students to spot the mistakes. If you would like to change the year in the PowerPoint (I have taught this topic to year 10) all you need to do is to view slide master and change the master slide. If you are just looking for a composite functions worksheet, I have uploaded my worksheet separately, the link for this is below. https://www.tes.com/teaching-resource/composite-functions-mastery-worksheet-11698078

#### Functions - mastery worksheets

This is a set of 3 mastery worksheets, the 1st one is an introduction to function notation, the 2nd one is on calculating inverse functions and last one is on calculating composite functions. All worksheets are split into 3 sections, fluency, reasoning and problem solving so students can master the topic. The introduction worksheet also includes a challenge question at the end involving finding roots of a cubic function and the composite functions worksheet includes an AQA exam question at the end so students can see how many marks would be awarded in the exam All answers are included for the questions.

#### Introduction to function notation - mastery worksheet

This is a mastery worksheet providing an introduction to function notation. The worksheet practises substitution and solving a variety of equations using function notation. The worksheet is split into 3 sections, fluency, reasoning and problem solving so students can master the topic. There is also a challenge question at the end involving finding roots of a cubic function. All answers are included for the questions. I have also created a full lesson providing an introduction to functions which includes this worksheet, the link for this is below. https://www.tes.com/teaching-resource/introduction-to-function-notation-complete-lesson-and-mastery-worksheet-11700941

#### Inverse and composite functions - mastery worksheets

This is a set of 2 mastery worksheets, one on calculating inverse functions and one on calculating composite functions. Both worksheets are split into 3 sections, fluency, reasoning and problem solving so students can master the topic. The composite functions worksheet also includes an AQA exam question at the end so students can see how many marks would be awarded in the exam. All answers are included for the questions. If you would just like the inverse functions worksheet, then the link for this is below https://www.tes.com/teaching-resource/inverse-functions-mastery-worksheet-11696116 Similarly, if you would just like the composite functions worksheet, then the link for this is below https://www.tes.com/teaching-resource/composite-functions-mastery-worksheet-11698078

#### Composite functions - mastery worksheet

This is a mastery worksheet involving calculating composite functions. The worksheet is split into 3 sections, fluency, reasoning and problem solving so students can master the topic. It also includes an AQA exam question at the end so students can see how many marks would be awarded in the exam. All answers are included for the questions. I have also created a full lesson on composite functions which includes this worksheet, the link for this is below. https://www.tes.com/teaching-resource/composite-functions-complete-lesson-and-mastery-worksheet-11699361

#### Inverse functions - mastery worksheet

This is a mastery worksheet involving calculating inverse functions. The worksheet is split into 3 sections, fluency, reasoning and problem solving so students can master the topic. All answers are included for the questions. I have also created a full lesson on inverse functions which includes this worksheet, the link for this is below. https://www.tes.com/teaching-resource/inverse-functions-full-lesson-and-mastery-worksheet-11696106

#### 9-1 NEW GCSE BUNDLE

This bundle currently consists of nine premium and three free resources, bought individually for a total of £26. Each resource is designed to address new elements of the 9-1 GCSE math specification or the style of questions seen so far in the new 9-1 GCSE sample, practice and actual papers. Each resource comes complete with instructions, solutions and ideas for further differentiation. Please read individual descriptions for each resource, this will indicate the levels of differentiation included. Get in touch via numberloving@outlook.com

#### 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.

#### 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.

#### 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.

#### GCSE Mathematics Revision Bundle

A collection of our resources that can be used for revision with classes, small groups or individually. Includes matching pairs memory games, worksheets, assessment ladders. Topics covered include quadratics, completing the square, sequences, rounding, surds, prime factors, simultaneous equations.