Whole-school functions resources

Keeping your class engaged with fun and unique teaching resources is vital in helping them reach their potential. With Tes Resources you’ll never be short of teaching ideas. We have a range of tried and tested materials created by teachers for teachers, from kindergarten through to high school.

Breathe new life into your lesson plans with our primary and secondary school classroom resources. Whether you’re looking for fun maths worksheets or brand new guided reading activities, we have thousands of free and premium resources for you to download. From preschool to primary you’ll find phonics worksheets and classroom games. From Year 11 through to senior secondary we have everything from Japanese lessons to algebra activities, as well as revision guides for tests and exams.

Popular subjects

More
  1. Resources Home
  2. Whole School
  3. Mathematics
  4. Advanced pure
  5. Functions
Inverse and composite functions - 2 complete lessons and mastery worksheets

Inverse and composite functions - 2 complete lessons and 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.

By joybooth

Composite functions - complete lesson and mastery worksheet

Composite functions - complete lesson and 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 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

By joybooth

Inverse and composite functions - mastery worksheets

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

By joybooth

Composite functions - mastery worksheet

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.

By joybooth

Inverse functions - mastery worksheet

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

By joybooth

Inverse functions - complete lesson and mastery worksheet

Inverse functions - complete lesson and 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 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

By joybooth

Colouring by Function Notation with Linear Inverses, Football (36 Sheet Mosaic)

Colouring by Function Notation with Linear Inverses, Football (36 Sheet Mosaic)

Colouring + Polynomials = Awesomeness. This includes a complete class set of 36 worksheets / colouring pages that combine to create the football player mosaic. Every single worksheet is different, so you can count on hearing great math dialog between your students. Assessment is easy using the full answer key AND complete solution manual. You can make this available to students to self-assess their work (using the task for review or practice), or keep it for your own assessment purposes if you're markin' for keeps. Common Core Standards: HSF-IF.A.2, HSF-BF.B.4 MATH INVOLVED: ◾Students evaluate polynomial functions for inputs in their domains ◾Each problem gives a set of 1 to 3 functions like this: {h(x)= -5x-3, m(x)= 5x²+22x-1, j(x)= -3x²-5x} And are asked to evaluate something like this: h^-1(-5) + m(-3) - j(1) ◾Inverse functions are used in linear cases randomly about 40% of the time ◾Students gain practice with exponent and integer laws (yes senior students still make those mistakes!) and general order of operation skills when simplifying a multi-step expression. I'd love to hear your feedback and your students' response to this task. These tasks ensure individual accountability (since every worksheet is different) while harnessing collaborative motivation (since every worksheet is needed for the mosaic). The end result will look spectacular hanging up in your classroom, and your students will be proud! It's simple! 1. Calculate the answers. 2. Colour the squares. 3. Cut out your section. 4. Combine with the class! INCLUDED: ◾ .pdf and .docx versions of everything ◾ Complete 36-sheet class set of worksheets ◾ Teaching Tips page, for smooth implementation :) ◾ Complete answer keys for all worksheets ◾ Complete Solution Key showing steps taken to reach each answer ◾ 'Colour-Range' answer key for quick at-a-glance assessment. e.g. Blue [0, 2), Red [-4, -2) ... ◾ Every worksheets contains its answers randomized at the bottom, helping the student self-assess his/her work The student buy-in factor is HUGE with these worksheets; they all want to see the finished picture come together! Leave the picture a secret or show it for motivation… it’s your call. All my “Colouring by…” worksheets use standard pencil-crayon colours found in the Crayola 24 pack. For best results, use the exact colour name match (and encourage quality colouring!). Perhaps a class set of pencil crayons would be a fun math department investment! ~CalfordMath

By CalfordMath

Graphs of reciprocal functions.

Graphs of reciprocal functions.

An introduction to the graphs of reciprocal functions. Reciprocals of polynomials, absolute value linear, reciprocal circular functions. Developing the general principles how to deduce the graph of the reciprocal of any function given by a graph or rule. Suitable for IB HL Mathematics or VCE Specialist Mathematics Unit 2 to Unit 3 or any similar course.

By bgm2016

Domain & Range

Domain & Range

This lesson and worksheet introduces the students to the work Domain and how we can obtain the range through the sketch of various curves.

By sjcooper

Linear Equation Fractional Linear Equation One Variable Equation Worksheets

Linear Equation Fractional Linear Equation One Variable Equation Worksheets

These several worksheets of various difficulty on linear equations (one variable equations), they go from fairly difficult to monstrously difficult! Very detailed step-by-step solutions are provided with explanations of each step. Have a look and let me know what you think! I hope you find these useful. You can get more FREE worksheets on many topics, mix and match, with detailed step-by-step solutions at http://www.onemathsquestions.com. No signup, ads, just great questions and solutions

By joezhou

Understanding exponential growth and decay

Understanding exponential growth and decay

Students are guided through a set of investigative prompts that explore exponential change in real-life situations, allowing them to build up an understanding of what exponential growth/decay actually means and how it can be expressed algebraically and graphically - and why. An accompanying commentary provides answers with explanations. After using this resource, most students can create models of the type y=k(a^x), explain the graphical behaviour of this function and give examples of real life occurrences.

By globalmaths