A simple worksheet for your classes to practise substituting values into expressions and formulas. In total there are over 50 substitutions for them to complete. Includes questions where the answers to each part should form a sequence, so students should be able to notice and correct errors themselves for these questions. I have only used postive and negative integers throughout, but this could be amended to use fractions, surds etc if you wanted to make it more challenging.

It used to be quite easy to come up with examples to teach/practise trial and improvement, but using iteration is a very different beast and needs some carefully chosen and prepared questions. This worksheet contains a brief introduction/reminder about iterative formulae and their use in sequences, then has one example of using iteration to find a root of an equation, to work through as a class. The following exercise has 7 questions for students to attempt on their own. Answers are included.

This simple worksheet can be used to introduce/practise using number lines to represent inequalities. The worksheet starts with a reminder about the different inequality symbols and what they mean. There are then a few examples (to do with your students) of representing inequalities on number lines and writing down the inequalities represented by given diagrams. There is a short exercise with 16 of each type of question - answers are included.

This worksheet will give your class a bit of practice of finding the reciprocal of different types of numbers. Each section starts with an explanation and/or examples, followed by a short exercise of questions for students to complete. The sections are: Reciprocal of an integer Reciprocal of a fraction of the form 1/n Reciprocal of a fraction of the form a/b (includes conversion of mixed fractions to improper) Reciprocal of a decimal (requires conversion of decimal to fraction) The answers to the questions in the exercises are included.

This 13-page resource introduces basic differentiation and integration of exponential and trigonometric functions (in the A2 part of the new A level). The calculus work does NOT require chain rule, product rule, quotient rule, integration by parts… etc In every section it contains notes then examples to work through with your class, followed by an exercise of questions for students to attempt themselves (answers included). The sections are: 1.Differentiation of e^x and ln(x) 2.Differentiation of trigonometric functions (sin, cos and tan only) 3.Integration of e^x, 1/x, and trigonometric functions (sin and cos only) This projectable and printable resource will save you having to write out any notes/examples or draw any graphs when teaching the topic, and will make things easier for your students as they can just work directly on the given diagrams and spaces provided for solutions. Note: some examples with trigonometric functions require knowledge of radians, double and compound angle identities, and small angle approximations.

This is a word document with 5 pages of templates that can be used to create histograms for examples or worksheets. I've tried to cover a good range of different sizes, the numbers on the axes can be amended and the bars can be created by copying and pasting the provided blocks. I hope you find this useful.

After teaching my classes how to differentiate using chain rule and giving them enough practice to feel confident about the method, I have used this worksheet to try to encourage them to use less time and steps. My classes enjoyed the challenge of trying to complete the sheet within the time - you can always amend the time limit for weaker/stronger groups. Solutions are attached. Note that this sheet assumes that students know how to differentiate the functions e^x and ln(x).

This simple worksheet is a good way to introduce/review angles in parallel lines. It begins with diagrams of corresponding, alternate and allied (supplementary) angles, then there are some examples to work through with your class. On the second page there is a short exercise with similar problems for the class to do themselves. Answers to the exercise are included.

This simple, one-sided worksheet is designed to help students learn/recall how to simplify expressions. It begins by explaining when terms can be put together, then there are 12 pairs of terms for students to consider, combining them where appropriate. The final section contains 16 expressions for students to practise simplifying. Answers to the sheet are included.

This simple 2-sided worksheet can be used with your class as practice or revision of trigonometry in non right-angled triangles. The answers are included but can be removed if you want to use the sheet as a homework or test. Note that one of the questions involves bearings.

These printable worksheets make it easier to teach this topic as the questions and solutions can just be projected onto a board or screen to work through or check as a class. I normally work through the first worksheet as an example and then set the second worksheet as a task for the class to do on their own. Solutions included. Similar resources available for reflections, rotations and enlargements - please see my shop.

This simple 2-sided worksheet practises writing one quantity as a fraction of another, in its simplest form. There is an explanation of the method, together with a few examples to work through as a group. The exercise contains over 20 questions for students to attempt, with several questions in context towards the end. Solutions are provided.

I have used this worksheet to teach my classes about using differentiation/integration to investigate the motion of an object with variable acceleration. Having these printable worksheets that I can project on a board and the students can work on seems to save a lot of time and effort for this topic. The introduction builds on what they should already know from velocity-time and displacement-time graphs for constant acceleration, deriving the methods needed for variable acceleration. There is then 1 example that requires differentiation and 1 that requires integration. Answers are not included as I usually work through this with my classes. Other mechanics resources are available - please see my shop.

After teaching my classes how to integrate using "reverse chain rule" and giving them enough practice to feel confident about the method, I have used this worksheet to try to encourage them to use less time and steps. My classes enjoyed the challenge of trying to complete the sheet within the time - you can always amend the time limit for weaker/stronger groups. Solutions are attached. Note that this sheet assumes that students know how to integrate the function e^x and 1/x.

This is a simple worksheet I created for my year 7 class to practise identifying different types of triangles and for them to work things out using their properties. The first page is to work through with your class to complete the notes on each type of triangle and its properties. This includes how sides of equal length may be indicated on a diagram. There is then a 2-page exercise for your class to attempt themselves. The questions include: State the type of triangle from its diagram and given information State the size of and unknown angle in a triangle (does NOT assume knowledge of angle sum being 180) State the type of triangle from some information about some of its sides/angles (no diagram) Considering what type(s) of triangle can contain, for example, an obtuse angle Answers to the exercise are included.

I designed this worksheet to try to teach a weak GCSE group how to change the subject of a formula. The introduction explains what is meant by the "subject", and has a few examples to make sure this is clear in the students' minds. In exercise A there are 17 multiple-choice questions where students simply circle what they think is the correct rearrangement of the formula. The idea is that, as they are multiple choice, all students will be prepared to have a go at these questions and as you go through the answers there will be discussion points about the step(s) required and different ways you might set out your working or final answer. In exercise B there are 15 questions where the students must change the subject of the formula themselves. Solutions to the worksheet are provided. Note that the sheet contains questions where the new subject appears once only.

This document has a few different sets of axes with graph paper in 2 different formats. The numbers on the axes can be amended so can, to some extent, be customised to your needs. I hope you find them useful.

This is a test I have used with year 9 classes after teaching them powers (evaluating and simplifying) and standard form (writing numbers in SI form and doing calculations in SI form). The test includes negative and fractional powers. The answers/mark scheme is included.

This resource covers all the required knowledge and skills for the A2 topic of combined graph transformations. It begins by reviewing the individual transformations and their effects on the graph or its equation. The first section focuses on finding the equation of the curve resulting from 2 transformations - there are some examples to complete with your class and then an exercise for them to do independently. The exercise does include some questions requiring a sketch of the original and the transformed curve. Within that exercise there are questions designed to help them realise when the order of the transformations is important. The second section focuses on examples where the transformations must be applied in the correct order. There are examples to complete and then an exercise for students to attempt themselves. The exercise includes questions where the resulting equation must be found, where the required transformations but be described, and some graph sketching. Answers to all the questions in the exercises are included. Here is an example of one of my A level resources that is freely available: https://www.tes.com/teaching-resource/differentiation-and-integration-with-exponential-and-trigonometric-functions-new-a-level-11981186

This is a tricky little topic so this worksheet may be useful extra practice for your class. Six questions, some with diagrams as an aid. Answers included.