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

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

It used to be quite easy to come up with examples to teach/practise trial and improvement, but using iteration is a very different beast and needs some carefully chosen and prepared questions. This worksheet contains a brief introduction/reminder about iterative formulae and their use in sequences, then has one example of using iteration to find a root of an equation, to work through as a class. The following exercise has 7 questions for students to attempt on their own. Answers are included.

I'm teaching 3 different year 12 classes this year so I created 3 slightly different tests for the work I've covered with each. The first test focuses on quadratics (1 question on disproof by counterexample), the second and third both focus on quadratics and using graphs (also with 1 question on disproof by counterexample). All tests come with fully-worked solutions and they can be amended to your requirements.

This 26-page resource covers all the required knowledge for diagrams and calculations to summarise or represent data in 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. Bar charts and pie charts - revision of interpreting these simple diagrams 2. Averages of a list of data 3. Range and interquartile range of a list of data 4. Histograms - drawing them, interpreting them and using them for probability 5. Cumulative frequency - using the diagram to find median, IQR, percentiles etc 6. Box-and-whisker plots - interpretation and use to compare 2 sets of data 7. Standard deviation - calculation from a list of data or summary statistics 8. Frequency tables - finding averages/measures of spread from (grouped) frequency tables 9. Scatter diagrams and correlation - interpretation of diagram, PMCC, use of line of best fit 10. Outliers - investigating presence of outliers in a list/table of data or a diagram Also provided is an 8-page resource which contains lots of practice of problems that involve finding the variance or standard deviation of different sets of data (answers are included). 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 axes, as well as drawing on the provided diagrams to help interpret them. Also included is a homework/test that covers the whole topic - 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

The first resource introduces the technique for writing a complex number z=a+bi in (trigonometric) polar form, r(cos (theta)+ i sin(theta)), there are few examples of converting from one form into the other (to do as a class), and then an exercise of 30 questions for students to do. The next section introduces the exponential polar form re^(i theta), a few examples of converting from one form into the other (to do as a class), and then an exercise of questions for students to do. The exercise includes questions that get students to consider what z* and -z look like in both polar forms, as well as investigating multiplying and dividing complex numbers in polar form. Answers to the exercises are included. The second resource begins with a reminder of how to multiply/divide complex numbers in polar form, followed by an exercise of questions to practise. The remaining 3 pages cover the geometrical effect of multiplying, with several examples for students to learn from. Fully worked solutions are included. The final resource focuses on examination-style questions that consider the geometric effect of multiplying by a complex number in polar form. Fully worked solutions are included.

These 3 resources cover the following types of percentage question: 1. Writing one quantity as a % of another 2. Finding a % of a quantity 3. Increase/decrease by a % 4. Finding the % change Each resource is split into a non-calculator section and a calculator section. Each section has an introduction where the method(s) is/are explained with some examples to illustrate, followed by an exercise for students to complete. In total there are over 150 questions for students to work through - all solutions are provided.

These are two 2-sided worksheets that cover all calculations with fractions. The adding/subtracting worksheet goes step-by-step through the process of making the denominators equal prior to the calculation. The first exercise (12 questions) involves adding/subtracting fractions and mixed numbers where the denominators match, the second exercise (34 questions) involves adding/subtracting fractions and mixed numbers where the denominators do not match. The multiplying/dividing worksheet begins with a reminder of the method, together with a few examples to work through as a group. There are then two exercises, each with 20 questions, first to practise multiplying and then to practise dividing fractions and mixed numbers. Fully worked solutions to all questions are provided.

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 simple 2-sided worksheet can be used to introduce/practice finding a fraction of a quantity. The first page deals with finding 1/n of a quantity - there is an introduction with a few examples and then 20 questions for students to complete. The second page deals with finding m/n of a quantity - there is an introduction with a few examples and then 20 questions for students to complete. Worked answers are provided.

The first resource guides your class through the process of using the real and complex roots of z^n+k=0 to write down its real factors. The introduction includes the important result about the sum of conjugates and then uses equations of the form z^n=1 or z^n=-1 to establish that there is always an even number of complex roots, which can be put into conjugate pairs. It is then shown how each conjugate pair of roots produces a real quadratic factor, while each real root produces a real linear factor. To practise all this there is an exercise with 7 questions for students to complete. Solutions to all the examples and the exercise are included. The second resource contains an exercise with further examination-style questions on this topic. This could be used as additional practice in class or as a homework/test. Answers are provided.

This worksheet focuses on the skill of being able to find the point of intersection of the perpendicular from a point to a line. It includes related questions such as the perpendicular distance from a point to a line and the coordinates of the reflection of a point in a line. Some of the lines are given in vector form and some are in cartesian form, so students need to be confident with both. There are 16 questions in total, all answers are provided.

This worksheet gives your students practice of converting the vector equation of a line into the cartesian equation, and vice versa (there are 10 of each).

This simple 2-sided worksheet practises writing one quantity as a fraction of another, in its simplest form. There is an explanation of the method, together with a few examples to work through as a group. The exercise contains over 20 questions for students to attempt, with several questions in context towards the end. Solutions are provided.

This resource is a great way to assess your class after teaching all the "using graphs" topic. There are 12 questions in total, covering the following: 1. Intersections of graphs 2. Using the discriminant to show/determine the number of points of intersection 3. Graph transformations 4. Proportion 5. Inequalities on graphs Fully worked solutions to all questions are provided.

This worksheet can be used to teach/practise the required knowledge and skills expected at A level for the topic of proportion. The first page focuses on writing down the correct equation in different cases of direct and indirect proportion. The second page focuses on the graph(s) that can represent different types of proportion. The final page has a number of problems to solve with variables that are directly or inversely proportional. Fully worked solutions to all questions are provided.

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.

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

I designed this worksheet to try to teach a weak GCSE group how to change the subject of a formula. The introduction explains what is meant by the "subject", and has a few examples to make sure this is clear in the students' minds. In exercise A there are 17 multiple-choice questions where students simply circle what they think is the correct rearrangement of the formula. The idea is that, as they are multiple choice, all students will be prepared to have a go at these questions and as you go through the answers there will be discussion points about the step(s) required and different ways you might set out your working or final answer. In exercise B there are 15 questions where the students must change the subject of the formula themselves. Solutions to the worksheet are provided. Note that the sheet contains questions where the new subject appears once only.