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.

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

Two versions (with/without frequency tables) of a treasure hunt activity for a class to attempt individually or in groups. There are 24 questions, numbered from 1 to 24. Each group chooses a number from 1 to 24 at random (or you can assign them a start number), and this is the number of the first question they should attempt - this should be written in the top-left circle on their answer grid. Their answer to their first question should be a whole number from 1 to 24 - this should be written in the next circle on their grid and this is the number of the next question they should attempt. e.g. if a group starts on Q6 and they think the answer to Q6 is 13 then after Q6 they should attempt Q13 (and they should have 6 -> 13 on their answer grid). If they answer the questions correctly they end up with the same chain of answers as on the solution, if they make a mistake they will repeat an earlier question and at that point you can decide how much help to give them sorting out their error(s). This activity works best if you can stick the 24 questions around a large classroom or sports hall so the groups have to run around to find their next question. All the classes I've done these activities with have loved them.

These worksheets make teaching/revising these diagrams easier as you can project the axes/diagrams onto a board and your class can work directly on or from the provided axes/diagram. The worksheet on cumulative frequency is a 6 page document where students get to practise drawing cumulative frequency diagrams and deducing information from them, such as median, interquartile range etc. The second worksheet introduces how box and whisker plots are drawn and how to interpret them or use them to compare two sets of data. The third worksheet provides more practice of box and whisker diagrams but then also includes some questions involving cumulative frequency, as these diagrams often appear together in examination questions. Answers to all the worksheets are included.

This 12-page worksheet starts by introducing a method for drawing pie charts and has an example to work through as a class, followed by 6 examples for students to complete. The next section focuses on getting information from a pie chart - starting with an example to work through as a class and then 6 examples for students to complete. All answers are included.

Once your group has learned the rules for simplifying, manipulating and rationalising these resources are great for revising all the knowledge and skills they need. The revision sheet has 4 pages of questions covering all the expected skills at GCSE level for this topic - fully worked solutions are included. The worksheet/homework contain examination-style questions. I use the first worksheet as examples in class and then the second sheet can be used as a homework. The test is 3 pages long and covers the basic skills up to some demanding examination-style questions. A mark scheme with worked answers is 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.

This worksheet makes it easy to introduce and teach the trapezium rule to your classes. The first page has diagrams to illustrate the method and the derivation of the formula is broken down into steps for you to work through with your class. Projecting all this is so much easier than drawing it out by hand. The trapezium rule formula is then stated at the top of page 2, followed by 3 pages of examples of examination-style questions that test the use of the formula and your students’ understanding (is the answer from the trapezium rule an underestimate or overestimate, can they use their answer to deduce an estimate for a related integral, etc). Answers to all the examples 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

This set of resources includes everything you need to teach the graph transformations topic in the new A level. The printable resources will save you and your classes a lot of time which means there is more lesson time for them to practise and for you help develop their understanding. As the topic requires knowledge of the properties of some graphs (e.g. asymptotes) the first resource can be used to see which graphs they can already sketch and to discuss the asymptotes of particular graphs. The next resources are Geogebra files which can be used with the free Geogebra software. Each file can be used to discuss a particular type of graph transformation - there are sliders on each file that be changed or animated to see the initial graph transformed. This activity should help your class to visualise each type of transformation and start to get a feel for how the equation changes. The notes and examples start with revising each type of graph transformation - giving some different ways the transformations can be described and what the transformation looks like using y=f(x) and with a particular curve. Once completed this is a useful revision resource and helps them complete the exercise of questions on the reverse which includes questions asking for the new equation of a transformed graph, or for a description of the transformation applied. The final resource can be used to give your class practice of sketching transformations of y=f(x). The answers to all questions are included, including the sketches. 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 4-page worksheet will give your students plenty of practice at representing linear and quadratic inequalities on graphs, as well as writing down the inequalities illustrated by given regions. This printable resource will make it much easier for your classes to work through this topic rather than working from a textbook or drawing axes/diagrams themselves. There are over 30 questions on the worksheet - solutions are provided.

These worksheets can be used to introduce and practise the new GCSE topic of equation of a circle (centred at origin) and the equation of a tangent to a circle. The first worksheet starts with an activity that helps the students to realise that x^2 + y^2 = k is the equation of a circle and is followed by some questions to practise using it. The second document is an 8-page worksheet which can be used to revise all the necessary skills/knowledge required before studying the equation of a tangent to a circle. Working through this first seemed to really help my GCSE group with this topic. Answers are included. The third document is a 9-page worksheet which focusses on finding the equation of a tangent to a given circle at a particular point or with a particular gradient. All answers are included.

This 15-page worksheet takes your students through the whole topic of functions which is in the new GCSE. The worksheet has 3 sections. Section A covers function machines, substitution of values and values where the function is not defined. Section B covers inverse functions. Section C covers composite functions. Each section has an introduction with some examples, followed by an exercise for the students to work through. Answers to all exercises are included.

This worksheet can be used to teach/practise the required knowledge and skills expected at A level for the intersections of graphs. The introduction discusses the different methods that can be used but then focuses on the method of substitution. There are then a few examples to illustrate the method, including questions about the geometrical interpretation of the answers. The final section shows how the discriminant can be used to determine/show the number of points of intersection, with examples to illustrate the method. Fully worked solutions to all examples are provided.

This 29-page resource covers all the required knowledge for probability in the AS part of the new A level. In every section it contains examples to work through with your class followed by an exercise of questions for students to attempt themselves (answers included). The sections are: 1. Sample space diagrams 2. Two-way tables 3. Tree diagrams 4. Venn diagrams and set notation 5. Independent, mutually exclusive and complementary events 6. Probability distributions 7. Arranging items (preliminary work for Binomial distribution) 8. Binomial distribution This projectable and printable resource will save you having to draw any tables/diagrams when teaching the topic and will make things easier for your students as they can just work directly on the provided tables and diagrams. Also included is a worksheet designed to specifically practise writing cumulative probability calculations in the required form for using a calculator. The 2 page assessment covers all aspects of the topic and fully worked solutions are provided. Lastly, I have included a spreadsheet that calculates and illustrates probabilities for any Binomial distribution with n up to 100. You may find this resource useful to show the shape of the distribution and, in later work, how the distribution approximates a Normal distribution in certain conditions. 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 21-page resource introduces the method of differentiation as required for the new A level. In every section it contains examples to work through with your class followed by an exercise of questions for students to attempt themselves (answers included). The sections are: 1. Gradient function - sketching the graph of the derivative of a function 2. Estimating the gradient of a curve at a point, leading to differentiation from first principles 3. Differentiation of ax^n 4. Simplifying functions into the required form before differentiating 5. Using and interpreting derivatives 6. Increasing and decreasing functions 7. Second derivatives 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 axes and spaces provided for solutions. Also included is a 2-page assessment that can be used as a homework or test. Fully worked solutions to this assessment 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

These 2 resources cover all the required knowledge and techniques for trigonometry, as required for the AS part of the new A level. In every 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 first resource is a 27-page booklet which covers the following: 1.The graphs of trigonometric functions, their period and amplitude/asymptotes 2.Exact values of trigonometric functions 3.Trigonometric identities 4.Finding the value of other trigonometric functions given, for example, sin x = 0.5 where x is obtuse 5.Solving trigonometric equations (3 different exercises on this, with increasing difficulty) The second resource is a 13-question assessment that can be used as a homework or test. Fully worked solutions to this assessment are provided. The third resource is a 15-page booklet which covers the following: 1.Using the sine rule to find angles/sides in a triangle 2.Ambiguous case of the sine rule 3.Using the cosine rule to find angles/sides in a triangle 4.Area of triangle = 0.5ab sin C - using this, together with the other rules, to determine the area of a triangle 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

My year 7 class struggled to learn the rules for doing calculations that involved negative numbers so I created these resources to try to help them understand the rules and to give them lots of practice. The first resource focuses on addition and subtraction, with explanations of how the calculations can be understood with reference to a number line, and then exercises with lots of practice (over 150 questions). The second resource focuses on multiplication and division, with a page dedicated to them just practising determining whether the answer of a calculation should be positive or negative, and then an exercise with lots of practice calculations (over 80 questions). The third resource contains mixed questions with all 4 operations (over 60 questions). Answers to all the questions are included. The final resource is a spreadsheet where pupils can practise calculations and get instant feedback on their accuracy. Note that the spreadsheet contains macros so when opening the file users may need to click on “Enable editing” or “Enable macros” for it to function correctly.

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.