This activity is a nice way to check your whole class is secure on multiplying or dividing by 10, 100, 1000 etc. The powerpoint has 20 multiple-choice questions of increasing difficulty, and there is an answer grid for your students to indicate their answers. There is a second powerpoint that can be used to check the answers. I used this with my year 7 group and they all got quite competitive trying to get all 20 questions correct.

This 2-sided worksheet is a good way to introduce/revise factorising with a single bracket. There is a brief introduction to explain the difference between “factorise” and “factorise fully”, together with a few examples to work through as a class to illustrate the method for each type of question. There are then lots of questions for students to attempt, starting with the most straightforward where just one number is put outside the bracket, working up to questions where numbers and variables need to be outside the bracket. Solutions are included.

A powerpoint presentation that reminds students what information is required to use the Sine/Cosine rule and then has a number of examples for them to consider which rule should be chosen. The printable version can be given to student to complete, annotate or make notes on as you work through the slides.

I created these resources so that my younger classes could get involved in celebrating pi day. In the first resource they choose a colour for each digit 0-9 then colour in a circle for each of the first 200 digits, which should produce a nice random pattern of coloured dots. Each of the other resources involve finding how often each digit 0-9 appears within the first 200 digits and then representing this on a bar chart or pie chart. The frequencies are: 19, 20, 24, 20, 22, 20, 15, 12, 25, 23 Happy pi day!

I have used these two worksheets to teach my classes about the important properties of velocity-time and displacement-time graphs. 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. Each worksheet has a number of examples to illustrate particular properties of the graphs and there are spaces at the end to summarise these properties. I hope you find them useful. Answers are not included as I usually work through these with my classes. Other mechanics resources are available - please see my shop.

These resources are a sample from a collection of short tests on the application of Pythagoras’ theorem. All the tests are quite short (3/4 questions, so 5-10mins max). I created them so that I was able to test my classes more regularly on topics at different points through the year - each test is similar enough so that classes hopefully improve at the “standard” questions but there is also some variety in the later questions in each test and a progression in difficulty as you go through the tests. In the full set of 18 tests there are 5 tests designed to be done with a calculator, 13 tests to be done without a calculator. The questions include: 1.Finding the longest/shorter side of a right-angled triangle 2.Determining whether a triangle is right-angled 3.Finding the distance between 2 points 4.Using Pythagoras’ theorem in isosceles triangles, rectangles, squares etc 5.Using Pythagoras’ theorem in 3D 6.Using Pythagoras’ theorem where side lengths are given as surds All tests come with fully-worked solutions which makes them easy to mark. This means that the tests could also be used as a revision resource for students. The full set of 18 tests is available here: https://www.tes.com/teaching-resource/pythagoras-theorem-test-x18-11922960

These are 2 different worksheets that can be used to practise/revise the most common types of linear equations that students are expected to be able to solve at GCSE level. Answers are included.

This is a fun game which is simple enough for any class to understand and play quickly, but is also unusual and interesting enough for older/brighter classes to enjoy. A great end of term activity or just a good activity that teaches strategy. This works best on an interactive whiteboard where players can make moves by touching the board, but would also work by projecting it onto a screen and the players making moves using a mouse on a PC. Full rules/instructions are on the first slide.

I use this worksheet to introduce the idea of a frictional force opposing motion and how the size of the frictional force changes depending on the pulling/pushing forces and the maximum possible value of friction. The examples and diagrams make students think about the circumstances where maximum friction will be acting on an object, and to consider whether an object will be at rest, in limiting equilibrium, or will move. In total there are 40 questions for students to complete - all answers are included.

This worksheet contains 25 pages of questions on objects on pulleys - ideal practice for students preparing to sit their Mechanics 1 module exams. It has an introductory section which explains the important principles and terminology used, then there are 41 (multi-part) examination-style questions for students to work through. Answers to all questions are provided.

I use this worksheet to introduce momentum and impulse, and to get students to practise working out the change in momentum of an object using mv-mu. After the introductory explanation there are 9 questions for student to attempt - all answers are included. Other Mechanics 1 resources are available - please go to my shop and search for them.

This simple 2-sided worksheet has lots of questions for your class to practise expanding a bracket. The questions gradually become more difficult and there are some questions at the end where they have to find the error in expansions and then correct them.

This worksheet is designed so that students will hopefully gain an understanding of the process of converting mixed numbers and improper fractions, without having to write down a series of steps or instructions to follow. For both conversions the first set of questions are scaffolded, then for later questions the scaffolding is removed so they are doing the whole conversion themselves. There are 20 conversions in both directions, worked solutions are provided.

This resource can be used to teach your students all the required knowledge for the topic of polar coordinates (FP2) and contains examples to work through with your students. As the resource can be projected/printed it saves you time and allows your class to focus on understanding the techniques and attempting questions. The resource is split into six sections: 1. Defining points in polar coordinates and sketching curves 2. Tangents at the pole 3. Lines of symmetry 4. Maximum value of r 5. Converting between cartesian and polar form 6. Finding areas Note that this resource does not contain the answers to the examples - sorry! If I get time I will add them, or if you download and use this resource and send me your solutions I will add them in, crediting you of course.

This 25-page resource covers all the required knowledge and techniques for using fixed point iteration to find roots of an equation, as required for the new A level. In each section it contains notes, explanations and examples to work through with your class followed by an exercise of questions for students to attempt themselves (answers included). The sections/topics are: 1.Introduction to the method (a) creating an iterative formula from an equation f(x)=0 (b) using fixed point iteration to find successive approximations or an estimate of a root © illustrating the covergence of the approximations on a cobweb or staircase diagram 2.Conditions where fixed point iteration fails (a) situations where successive approximations do / do not converge to a particular root (b) situations where successive approximations do not converge to any root © how to predict whether an iterative formula will produce approximations that converge towards a root (d) illustrating the covergence / divergence of the approximations on a cobweb or staircase diagram This projectable and printable resource will save you having to create or write out any notes/examples when teaching the topic, and will make things easier for your students as they can just work directly on the given spaces and diagrams provided for solutions. The exercises contains over 35 questions for your students to complete. Answers to all 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

I created this short worksheet to revise the principles and basic methods for determining whether an object on an inclined plane will slide, topple, or neither. It may also be suitable as an introduction to the topic. So that the focus of the worksheet is on deciding what happens to the object, rather than spending time finding the location of the centre of mass, I have used only solid cylinders and cones for the questions. There is an introductory page which explains the required methods, together with a couple of examples. The exercise contains 20 questions, answers are included.

This is a sample from a collection of short tests on trigonometry in right-angled triangles. All the tests are quite short (3/4 questions, so 5-10mins max). I created them so that I was able to test my classes more regularly on topics at different points through the year - each test is similar enough so that classes hopefully improve at the “standard” questions but there is also some variety in the later questions in each test and a progression in difficulty as you go through the tests. There are 10 tests designed to be done with a calculator, 10 tests to be done without a calculator. The questions include: 1.Finding an angle or a side of a right-angled triangle 2.Stating the correct value of e.g. sin A for a given triangle (requires Pythagoras) 3.Knowing and using exact values of trig functions 4.Using trigonometry in isosceles triangles 5.Using trigonometry in 3D shapes 6.Using trigonometry where side lengths are given as surds 7.Proving identities/results with trig functions 8.Questions with bearings, angle of elevation/depression All tests come with fully-worked solutions which makes them easy to mark. This means that the tests could also be used as a revision resource for students. The full set of tests are available here: https://www.tes.com/teaching-resource/trigonometry-tests-x20-11931966

This short worksheet can be used to deliver the topic of proof by contradiction in the new A level specification for all exam boards. A useful resource to help deliver this new topic - fully worked solutions are included for all examples and questions in the exercise. It begins with 5 examples to work through with your class (the full proofs are given in the teacher’s version). The examples are carefully chosen so that, for the final example, students have seen the results/techniques they need to prove that the square root of 5 is irrational. Students are expected to be familiar with a proof of the infinity of primes, so on the next page this proof is given in full, together with some numerical examples that should help students understand part of its argument. There is then an exercise with 9 questions for students to attempt themselves (full proofs provided). A homework/test is also included (7 questions), with fully-worked solutions provided. 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 worksheet focuses on using the sum of angles in a triangle to find missing angles. It assumes that students are already familiar with angles on a straight line, vertically opposite angles, and angles in parallel lines. The first section covers all the different types of triangles and their properties. There is a short exercise where students practise choosing the correct type(s) of triangle based on the information given. The second section begins with the result for the sum of angles in a triangle, including a proof using angles on a straight line. There are then some examples of finding angles - these are to be completed with your class. The exercise that follows is for students to attempt themselves. Answers to both exercises are included.