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Transformation of Functions (Treasure Hunt)

Transformation of Functions (Treasure Hunt)

As an extra to this Treasure Hunt the answers to the questions give an encrypted clue (for students to decipher) which reveals where the treasure is hidden. This particular activity helps to strengthen students' skills in substituting one algebraic expression into another. [CLICK HERE] for a list of similar style Treasure Hunts on other topics. 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. This allows them to be easily used for a whole class activity, group work or by individuals. The loop cards are particularly helpful during interventions.
Maths4Everyone
Functions

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

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.
pncullen1984
Inverse functions

Inverse functions

A worksheet on finding the inverse of a function. Detailed solutions are included. Good for GCSE/IGCSE students. From: https://placeformath.blogspot.com.cy/
math_w
Solving Equations with Functions (Differentiated Questions)

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.
SimplyEffectiveEducation
Evaluating Functions (Differentiated Questions)

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.
SimplyEffectiveEducation
Inverse and composite functions - 2 complete lessons with mastery worksheets

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.
joybooth
Functions - 3 complete lessons with mastery worksheets

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.
joybooth
Inverse functions - complete lesson with mastery worksheet

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
joybooth