This resource is designed to help students understand the key properties of exponential models and to give them lots of practice of examination-style questions on the topic. It begins by recalling the key properties of exponential graphs and introduces the form of the equation used in most exponential models. The first section contains examples designed to help students realise that the same proportional change happens over equal time periods. There are a few examples that establish this property and then an exercise of questions for students to attempt. The main section focuses on using exponential models and begins with 2 pages of example questions chosen to show students the typical style and demands of examination questions on this topic. There is then a 17-page exercise with almost 70 questions for students to attempt themselves. The exercise includes questions where students are required to explain the significance of parameters in models, the limitations of models, and to suggest possible improvements. Answers to 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 resource is designed to introduce the key properties of exponential and logarithmic graphs that students need to understand for the topic of exponential models. Explaining the key properties of exponential graphs to students who haven’t learned chain rule is tricky so this printable/projectable resource may be a good way to help improve your students’ understanding and save you time as it has examples and exercises already prepared. It begins with learning the shape of exponential graphs by plotting points, drawing the curves and then summarising the properties of each graph (first y=a^x and then y=a x b^x). There is then a short exercise (23 questions) where they practice sketching exponential graphs and determining the equation of a given graph. The next section involves sketching the gradient function for different types of graph (linear, quadratic, cubic and reciprocal) and this work leads towards the idea that the gradient function of an exponential graph is itself exponential. To build on this the students are then given the result for the gradient of y=a^x. The exercise that follows allows them to establish by themselves that for dy/dx=y we require that a = e. Students can then prove (without use of chain rule) that the gradient of y=e^(kx) is y=ke^(kx), a key property of exponential models. There are then some examples and an exercise for students to practise using this result. The final section gets students to plot the graph of y=ln(x) and summarise its properties. Some examples and an exercise of questions connected the graph of y=ln(x) then follow. Answers to all 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

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 30-page resource covers all the required knowledge and techniques for logarithms, as required for 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 sections are: 1.Writing and evaluating logarithms 2.Using base 10 and base e 3.Evaluating logarithms on a calculator 4.Logarithms as the inverse of raising to a power 5.Solving equations that involve logarithms 6.Laws of logarithms 7.Solving equations with an unknown power 8.Disguised quadratic equations In all there are over 300 questions in the various exercises for your students to work through. 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. Also included is a 16-question assessment that can be used as 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

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

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.

This 33-page resource introduces the methods used to differentiate more complex functions, as required for 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 sections are: Chain rule - how to differentiate a function of a function (2 pages of examples then a 4-page exercise) Product rule (1 page of examples then a 2-page exercise) Quotient rule (1 page of examples then a 3-page exercise) Implicit differentiation introduction (1 page of examples then a 1-page exercise) Implicit differentiation involving product rule (2 examples then a 3-page exercise) Applied implicit differentiation to find stationary points, tangents etc (2 pages of examples then a 3-page exercise) Differentiation of exponential functions (1 page of examples then a 1-page exercise) Differentiating inverse functions (2 pages of examples then a 1-page exercise) 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. Also included is a 10-question 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

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 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 17-page worksheet can be used to deliver the topic of proof in the new AS level specification for all exam boards. A great resource to help deliver this new topic - fully worked solutions included and a version with teaching notes added for some key points. It begins by reviewing all the required basic knowledge. It discusses particular errors in solutions/proofs, covers the use of ⇒, ⇐ and ⇔, and writing solutions to inequalities in interval and set notation. For each of these 3 topics there are notes, then examples to work through with your class, then an exercise for students to complete. For each of the 3 methods of proof (counter example, deduction, and exhaustion) there are a number of examples for you to work through as a class, followed by an exercise for students to attempt themselves. There are also some suggested extension activities for students interested in doing some research or additional work that goes beyond the scope of the syllabus. The fully-worked solutions to the exercises are included in the students’ version, and fully-worked solutions to all the examples are also included in the teachers’ versions. I needed about 3 hours’ of teaching time to get through this whole worksheet with my classes. A homework/test is also included, 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 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

These resources are 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.

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 resources are 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. There are 5 tests designed to be done with a calculator, 13 tests to be done without a calculator. The questions include: Finding the longest/shorter side of a right-angled triangle Determining whether a triangle is right-angled Finding the distance between 2 points Using Pythagoras’ theorem in isosceles triangles, rectangles, squares etc Using Pythagoras’ theorem in 3D 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. A sample of the tests is available for free here: https://www.tes.com/teaching-resource/pythagoras-theorem-test-x2-11923017

These are two different tests I created to assess the whole of the statistics element of the new AS level. Each test contains 16/17 examination-style questions, based on exemplar questions, specimen papers, topic tests or textbook questions, The tests cover the following: Cumulative frequency diagrams Box and whisker diagrams Histograms Scatter diagrams and correlation Finding/estimating averages or measures of spread from grouped/ungrouped data or from summary statistics Probability (two-way tables, tree diagrams, venn diagrams, independent and mutually exclusive events) Probability density functions Binomial distribution Sampling methods Hypothesis testing Both tests come with fully-worked solutions. Having two different tests is useful if, like me, you have two different A level groups and want to set them different tests, or you could give out one as a practice test or revision and use the other for an actual test. 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 are designed to help to introduce your students to the AQA Large Data Set for 2018-19, to get them familiar with some of its properties and typical questions that can be asked about data taken from it. The worksheet begins by introducing the data selected by AQA and the regions of England that are referred to. There are then several pages of examples, chosen to illustrate particular properties of the data or a certain style of question. The examples cover the following: How data is categorised - shows students categories and sub-categories How data values are presented - shows students how the exact values in the LDS are rounded for tables/extracts Outliers - shows how outliers can be identified and common outliers in the data Interpretation of diagrams - allows students to consider what can and cannot be deduced from a range of diagrams The intention is that these examples are worked through and discussed with your class. Possible answers to the examples are given in the teacher version of the worksheet. There is then a 6-page exercise for students to complete. This exercise contains questions that are based on the style of the exemplar questions released by AQA, so they should be ideal practice for your students. Answers to the exercise are included. The spreadsheet is designed to make it easier and quicker to analyse certain aspects of the large data set. By simply selecting the 2 food categories you wish to investigate, the spreadsheet will: Pull all the relevant data onto a single sheet Calculate PMCC between the 2 food categories (for each region, and for each year) Calculate quartiles and indicate the presence of any outliers Draw scatter diagrams for each region, and for each year The spreadsheet is a really useful tool to help you quickly select some data from the LDS that can be used to illustrate/discuss a particular aspect of the data or to practise a particular style of question. Alternatively, the spreadsheet could be given to your students so that they are able to do some investigation of the data themselves, without needing to know much about using Excel. The final resource is just a set of notes on how to use the spreadsheet and its functionality.

These resources are designed to introduce the vectors topic for the Core 4 module. The first resource introduces all the required skills and knowledge using just 2 dimensions, which enables students to use/draw diagrams to help them understand the steps in the solutions. At appropriate points within this resource there are prompts to attempt one of the other worksheets to focus on a particular skill or type of question. All the other worksheets work in 3 dimensions, so students may need help with the first couple of examples on each sheet. There are lots of examples on each sheet to help students become confident with that particular part of the vectors topic. Answers are provided for all the worksheets, either on the sheet or as a separate resource.

This set of resources covers evaluating and simplifying expressions with powers. The first resource is 18 multiple choice questions on evaluating powers for students to attempt (I usually get my class to do this in pairs/small groups). The second resource is a worksheet with different sections that focus on evaluating with postive integer powers and 0, negative integer powers, then fractional powers. Each section contains examples to work through as a class and then an exercise for students to attempt. Answers are included. The third and fourth resource cover simplifying expressions, following the same format and the 1st and 2nd. The powerpoint contains slides that revise how to evaluate and simplify expressions with powers - useful as a plenary or as a refresher at the start of a lesson. The multiple choice questions cover both evaluating and simplifying - useful as a revision resource or a quick assessment. Solutions provided. The final resource is a set of questions to cover the whole powers topic, some of which are examination style questions. Answers are included.

This simple worksheet contains 16 questions for your students to practise drawing the plan and the front and side elevations of an object made from cubes. Answers are provided for marking / projecting for students to check.

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.