Middle school functions resources

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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

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

IAL C34 Specimen Paper - without space

IAL C34 Specimen Paper - without space

This is the IAL C34 Specimen Question Paper (free sample). Only questions appear in the document without any written space. I have written the paper using LaTeX ( a high quality typesetting document preparation system) and compiled to get the PDF output. Teachers and tutors can now easily save paper and print the question paper for exam practice and revision purposes of their students. The omission of writing space is a huge advantage in saving ink and paper, because original papers comes with a lot of empty space for the answer. The LaTeX written paper have all the math beautifully formatted and typeset even to the minor details. The question paper comes with a cover page for reference. Teachers can opt out this page if necessary when giving for print. Mark scheme is attached. NB: Here is a link to my store @TpT: https://www.teacherspayteachers.com/Store/Smart-A-Level-Math

By mohdamir69

Topic 2: Functions and equations (IB Standard level)

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

By oralhurt

GCSE/IGCSEFM Functions

GCSE/IGCSEFM Functions

Covers the definition of functions, composite functions and inverse functions. For IGCSE Further Maths, also covers piecewise functions and domain/range.

By DrFrostMaths