I've always thought that graph transformations is a difficult topic to teach well from a textbook, that's the reason I created these worksheets so my classes could practise sketching the transformations without having to draw axes or try to copy the original curve. This worksheet has examples and an exercise on stretches. The examples are designed to work through as a class and then the rules for the different stretches can be completed. There are 6 pages of questions for students to complete, including sketching the stretched graph, stating the equation of a stretched graph and stating the new coordinates of a point on the original graph. All answers are included - I usually project these so that the whole class can check their answers. Please note this topic is not in the new GCSE spec.

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.

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.

The first two resources are 2 different worksheets that can be used to get your class to learn the different types of graph they are expected to be familiar with at GCSE (linear, quadratic, cubic, reciprocal, exponential and square root) and to be able to recognise or sketch them. The first resource gets them to calculate points, plot them and join them up, while the second resource was designed to use Geogebra, but would suit any graphing software. In my experience students need a fair bit of time to complete these so this activity may well fill your entire lesson. The third resource is a worksheet to check their knowledge after completing one of the earlier activities (solutions included).

I created these resources to try to help my classes understand the process of factorising quadratic expressions of the form x^2+bx+c. The idea behind them is to first get the class to practise finding the 2 numbers that have a specified product and sum, then to start to apply this to factorisation with some scaffolded questions. The first resource gets them to focus on finding the 2 numbers that have a specified product and sum. The 4-page worksheet is broken into four sections - both numbers positive, both numbers negative, one positive and one negative, and then a mixed section. The second resource is a spreadsheet activity where your classes can further practise the skill of finding the 2 numbers that have a specified product and sum. The questions are randomly generated and they get instant feedback on their answers, either telling them it is correct or telling them which requirement (product/sum) has not been met, giving them a chance to try again. It keeps track of how many each student has answered correctly so you can make this into a competitive activity. The final 4-page resource starts to apply the skill of finding 2 numbers that have a specified product and sum to factorising quadratics. Each section starts with a set of questions asking for 2 numbers with a specified product and sum, then asks the student to complete/write down the related factorisation. Each section concludes with some factorising questions with no scaffolding. Section A is both numbers positive, section B is both numbers negative, section C is one number positive and one number negative. Sections D has almost 50 quadratic expressions to factorise - starting with a few of each type and then moving onto mixed questions. Answers to both the worksheets are provided.

I have found plenty of resources to help students find Euler’s formula, but couldn’t find any where students can practise using it - so I made one! This worksheet starts by reminding them of the result and then there are a few examples to work through with your class, followed by an exercise with 16 questions of increasing difficulty. Note - some of the questions involve use of (basic) algebra

The first 3 resources help students to learn to label the sides of the triangle correctly (adjacent, opposite and hypotenuse). There are then 2 worksheets, each with 18 questions to practise finding angles or sides using trigonometry. Answers are included. The short worksheet on angle of elevation/depression explains what the angles represent and has 4 examples for students to complete - answers are included. The multiple choice questions (including some non-calculator) can be used as an assessment after covering this topic. Answers are also included.

This 17-page resource covers all the required knowledge and techniques for hypothesis testing in the AS part of the new A level. It contains detailed notes, examples to work through with your class, and exercises of questions for students to attempt themselves (answers included). The topics covered are: 1. Sampling - different methods of sampling, biased and representative samples 2. Unbiased estimators - estimating the population mean and variance from a sample 3. Setting up a hypothesis test - null and alternative hypotheses 4. Making a conclusion - p-values, significance levels, 1-tail and 2-tail tests 5. Critical regions - finding the critical region for a hypothesis test 6. Significance levels and errors - probability of incorrectly rejecting null hypothesis, nominal vs actual significance level This projectable and printable resource will save you having to write out or create any notes/examples when teaching this topic. It also increases how much you can get through in lessons as students don't have to copy notes/questions and can work directly onto spaces provided for solutions. You could also email/print some or all of this for students who have missed lessons or need additional notes/practice/revision. The second resource is a set of multiple-choice questions that can be used a quick assessment or as part of a revision/refresher lesson. There is also a 6-page resource which contains lots of practice of problems that involve estimating population parameters from sample data (answers are included). Also included is a 2-page assessment that covers the whole topic. Fully worked solutions 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 11-page resource covers all the required knowledge and techniques for determining if curves are convex/concave and finding points of inflection, 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.Convex and concave curves (a) determine from a sketch if curve is convex, concave or neither (b) find the values of x for which a graph is convex (or concave) © show algebraically that a function is convex (or concave) 2.Points of inflection (a) find the point(s) of inflection on a graph (b) determine whether a point of inflection is stationary or non-stationary © show that a curve has no points of inflection (d) use point(s) of inflection to determine the values of x for which a curve is convex (or concave) 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 provided for solutions. 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

This 28-page resource covers all the required knowledge and techniques for the topic of parametric equations, 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: Parametric graphs (a) sketching graphs with parametric equations (b) finding the value(s) of the parameter at a particular point on the graph Converting parametric to cartesian equations (a) converting parametric equations that are polynomials, rational functions, exponential functions… (b) converting parametric equations that involve trigonometric functions Finding the intersection of a parametric graph and a graph with cartesian equation (a) Converting the parametric equation to cartesian (b) Substituting the parametric equations into the cartesian Finding gradients of parametric curves (a) Finding an expression for dy/dx and the gradient of the curve at a point (b) Finding stationary points and points where tangent is parallel to x-axis or y-axis © Finding the equation of the tangent or normal to the curve Finding the area between a parametric curve and the x-axis 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 provided for solutions. The comprehensive set of exercises contains around 100 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

This 10-page resource covers all the required knowledge and techniques for related rates of change, as required for the new A level. 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). It begins with an introductory example which shows related quantities can change at different rates and how the chain rule can be used to connect them. There is then a summary of the method and a page of example questions to complete with your class. The exercise that follows contains over 40 questions for your students to attempt. 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 provided for solutions. 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

These resources deal with problems where 2 or more items are chosen at random, we are given the probability of a particular outcome, and this is used to derive a quadratic equation that then needs to be solved. The first resource can be used to teach the topic. It is in two sections - section A deals with selection with replacement, section B deals with selection without replacement. In each section there are 2 examples to work through with the class, followed by an exercise with more than 10 questions of increasing difficulty for the class to attempt themselves. Fully worked solutions to the examples and exercises are included. The second resource is another set of questions that can be used as a homework or revision - 8 questions that are a mixture of with/without replacement. Also included is a spreadsheet that calculates the probabilities for all outcomes in situations where there are between 5 and 40 items - just in case your class loves this topic and wants more questions!

I've always thought that graph transformations is a difficult topic to teach well from a textbook, that's the reason I created these worksheets so my classes could practise sketching the transformations without having to draw axes or try to copy the original curve. This worksheet revises the rules for the different graph transformations and then has an exercise to practise the whole topic. There are 7 pages of questions for students to complete, including sketching the transformed graph and stating the equation of a transformed graph. All answers are included - I usually project these so that the whole class can check their answers. Please note this is designed for the new GCSE spec so only covers translations and reflections.

These resources are designed for the new GCSE higher tier. The first worksheet introduces how Venn diagrams work and the notation used for the different sections of the diagram. The second worksheet is to practise using the notation correctly. The powerpoint can be used as a whole class activity to see if they have learned the notation correctly - it contains 11 multiple choice questions, for each they must choose which option is the correct notation for the given Venn diagram. The final 10-page worksheet is a set of exam-style questions. All answers are included.

Three resources to practice finding the equation of quadratic graphs from different types of information. This is a tricky topic and is likely to stretch an able GCSE group. The first resource is intended to be used as examples to work through as a group, the other resources are for additional practice. All solutions are provided. Note that simultaneous equations and solving quadratics by factorising is required prior knowledge.

I found it time-consuming tryingto teach my classes how to resolve forces by drawing diagrams on the board and asking them to copy them down - it seemed to take ages and they didn't get to work through that many examples themselves. So I created this worksheet with ready-made diagrams with all the forces and a blank copy of diagram for students to add on the resolved forces. I no longer dread teaching this skill and my classes get a lot more done in the lesson time. The worksheet starts with an introductory explanation and a worked example. There are then over 20 questions for students to attempt. Fully worked solutions are included.

These worksheets together contain over 30 pages of questions on objects on slopes - ideal practice for students preparing to sit their Mechanics 1 module exams. Many of the questions have accompanying diagrams as an aid. Answers to all questions are provided.

The first resource is a 9 page printable worksheet that you can work through with your class to cover the whole topic of quadratic functions in the new A level. Each section has a brief introduction or summary of key knowledge, then there are some examples to work through as a class to practise the skills. The worksheet covers: 1.Solving quadratic equations 2. Sketching graphs or finding the equation from the graph 3. Completing the square and its application for sketching, solving, vertex etc 4. Solving quadratic inequalities 5. Using the discriminant 6. Disguised quadratics Answers to all the examples are given at the back. The second resource is a set of questions designed to test the whole of the topic with some examination-style questions. Worked solutions are provided for these questions. 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

The worksheet is a 20-page resource that covers everything your students need to know about straight lines and circles for the new A level. Each section has an introduction with the required knowledge or formulae, then there is an exercise full of questions for you to work through with your class or for them to do on their own (answers are provided). The questions in the exercises start with the basics and progress up to more demanding examination-style questions. In total there are over 100 questions for your students to work through and there is enough material here to fill several lessons. The different sections cover: distance between 2 points, midpoints, gradient of a line, equation of a line, parallel and perpendicular lines, equation of a circle, tangents/normals to a circle, intersections of lines and circles, and determining whether 2 circles intersect, are disjoint or tangent to each other. The assessment contains 12 questions covering all aspects of straight lines and circles, which could be used as either a homework or a test. Fully worked solutions are 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