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

This 2-page resource is a great way to assess your students after teaching them combined graph transformations and the modulus function for the new A level specification. The resource is designed for students to write on the sheet in the spaces or on the axes provided for questions that require sketches. Fully worked solutions are included.

This worksheet is a good way to give your class plenty of practice calculating and using the vector product. The first 2 questions just involve finding the vector product of two given vectors, both in column vector and in I,j,k form. The remaining questions introduce how the vector product can be used to answer particular questions such as converting vector eqn of plane to normal eqn, or finding the area of triangle in 3 dimensions. Fully worked solutions are provided to the questions.

I have used this resource a few times with my classes to cover the whole topic of groups. This 24-page worksheet covers all the required knowledge and skills for FP3. Each section starts with introductory notes or examples, followed by an exercise for students to attempt. The sections are: 1. Sets, binary operations, closed/commutative/closed operations, identity elements and inverses. 2. Groups - definition of a group, order of a group, group tables 3. Multiplicative groups and cancellation laws 4. Groups using modular arithmetic 5.Symmetries of shapes 6. The order of an element 7. Cyclic groups and generators 8. Subgroups 9. Lagrange's theorem 10. Isomorphic groups The completed worksheet with all notes, examples and exercises completed (with fully-worked solutions) is also included.

This 21-page resource covers all the required knowledge for conditional probability in the A2 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: Venn diagrams and set notation (revision of AS level work) Conditional probability using Venn diagrams Conditional probability using two-way tables Conditional probability using tree diagrams 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. The 2 page assessment covers all aspects of the topic and 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

This resource can be used to guide your students through the different techniques that may be used to solve some first order differential equations. It begins with a reminder about the solution of 'variable separable' equations, with a couple of examples to work through. By means of an example, the next section shows how the use of an integrating factor can help to solve 1st order linear diff.eqns. After the method is summarised there are a further 2 examples to work through with your class. The worksheet then mentions the use of a substitution to simplify a complex diff.eqn into either a linear or variable separable one. There are no examples of such equations, just a table for students to practise determining if the resulting simplified equation is linear or variable separable. The remainder of the resource introduces the important method of finding the general solution by adding the complementary function and the particular integral. It begins with the method for finding the complementary function from the auxiliary equation, and then goes on to explain the method for testing a suitable function f(x) for the particular integral (including the case where the function f(x) appears in the complementary function). There are several examples of this method to work through with your students, followed by an exercise with over 20 questions for students to complete themselves. Answers to the exercise are included.

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.

This is a simple wordsearch I created so that my younger classes could get involved in pi day. Solution is included.

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!

This 27-page resource introduces all the knowledge and skills required for the topic of integration in the AS part of the new A level. 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: Finding an expression for a curve from its gradient function / derivative Simplifying into the required form for integration Determining the equation of a curve from its derivative and a point it passes through Definite integrals Finding the area between a curve and the x-axis Finding the area between a curve and a straight line 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. Also included is a 4-page (20 questions) 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

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 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.

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 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 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

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 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

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 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.