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 resource is a great way to cover this whole topic using prepared notes and examples to explain it to your students. Projecting the notes/examples will save you a lot of work on the board and your students will save time by working on the provided spaces and axes when doing sketches. You could also email/print some or all of this for students who have missed lessons or need additional notes/practice/revision. The sections cover the following: 1. Sketching graphs of the form y=mod(f(x)) e.g. y=mod(x-2) 2. Sketching simple transformations of y=mod(f(x)) e.g. y=mod(x)+4 3. Solving equations involving the modulus function. This covers the different types of equations and explains when a sketch may/must be used. e.g. mod(x-4)=6 vs 2x+3=mod(x-1) 4. Solving inequalities involving the modulus function. This covers the different types of inequalities and explains when a sketch may/must be used. e.g. mod(x-4)=mod(2x+1) vs 3x-1=4-mod(x) There are almost 100 questions in total across the different exercises. Answers to all questions in the exercises are provided, including 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 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.

This resource covers all the required knowledge and skills for the A2 topic of combined graph transformations. It begins by reviewing the individual transformations and their effects on the graph or its equation. The first section focuses on finding the equation of the curve resulting from 2 transformations - there are some examples to complete with your class and then an exercise for them to do independently. The exercise does include some questions requiring a sketch of the original and the transformed curve. Within that exercise there are questions designed to help them realise when the order of the transformations is important. The second section focuses on examples where the transformations must be applied in the correct order. There are examples to complete and then an exercise for students to attempt themselves. The exercise includes questions where the resulting equation must be found, where the required transformations but be described, and some graph sketching. Answers to all the questions in 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

These resources are a good way to quickly cover/revise the whole topic of linear equations. The first resource begins with a few notes on what forms linear equations can take and some of the steps or methods that may be required to solve them. There are some parts of the notes that need to be completed with your students, to practise the algebraic steps involved in solving linear equations. There are then several sections, each section focussing on a particular form of linear equation. There are a few examples to complete with your students as practice, then an exercise for students to complete on their own. There is also an exercise of mixed questions at the end. Answers to all the exercises are included. Section A - Solving x+a=b, x-a=b, a-x=b Section B - Solving ax=b Section C - Solving x/a=b and a/x=b Section D - Solving ax+b=c, ax-b=c, a-bx=c Section E - Solving x/a+b=c, x/a-b=c, a-x/b=c, a-b/x=c Section F - Solving (ax+b)/c=d, (ax-b)/c=d, (a-bx)/c=d Section G - Solving a(bx+c)=d, a(bx-c)=d, a(b-cx)=d Section H - Solving ax+b=cx+d, ax+b=c-dx Section I - Solving a(bx+c)=dx+e, a(bx+c)=d-ex Section J - Solving (ax+b)/c=dx+e, (ax-b)/c=dx+e, (a-bx)/c=d-ex Section K - Mixed exercise The second resource gives your students practice of solving linear equations using a graph. Worked solutions to this sheet are included. The final resource is a homework/test with 35 questions that cover the whole of the topic, including solving linear equations using a graph. Worked solutions are 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 18-page resource covers all the uses/applications 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. Tangents and normals - finding the equations of tangents/normals to curves 2. Stationary points - finding them and determining their nature using first or second derivative 3. Smallest and largest values of a function - finding min&max value of f(x) in a set of values for x 4. Practical problems - using differentiation to find optimal solution to a problem in context 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. 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

I think this set of resources covers everything your classes need to learn and practice on straight line graphs (up to GCSE level). All the resources are suitable to be projected or printed for students to work on, saving a lot of time for drawing graphs and allowing them to annotate or work on diagrams. All resources come with solutions included. Here is a brief description of each resource: 1. Basic straight lines - lines of the form x=a, y=a and y=x or y=-x 2. Drawing straight lines - 10 questions using the equation of a line y=mx+c to complete a table of values and draw the graph. 3. Cover-up method - 12 questions to practise drawing lines of the form ax+by=c 4. Using the equation - test if a point lies on a line, determine y-coord given x-coord and vice versa (70 questions) 5. Finding the gradient - 18 questions to practise finding gradients, including where the scales on the axes are not the same 6. Matching y=mx+c to the graph - they find the gradient and y-intercept for each given graph and equation, learning the connection between the equation and properties of the graph 7. Equation to gradient and y-intercept - simple worksheet to practice writing down the gradient and coordinates of y-intercept from the equation, and vice versa (24 questions) 8. Finding the equation of a line - 24 questions to practise finding the equation of the line from its graph, including where the scales on the axes are not the same 9. Finding equation using point and gradient - 10 questions to practise doing this with a grid as an aid, then 26 questions without a grid 10. Pairs of lines - 4 graphs, each with a pair of parallel or perpendicular lines. By finding the equation of each line the students should start to see the rules for gradients of parallel and perpendicular lines 11. Parallel and perpendicular lines - almost 50 questions finding the equation of a line parallel / perp to a given line that passes through (0,b) or (a, b) 12. Using two points A and B - find midpoint M of AB, gradient of line through A and B, equation of line through A and B, equation of line perp. to AB through A, B or M. 10 questions to learn the methods with grids as an aid, then an exercise for each style of question (over 50 questions in total). 13. Multiple choice questions - quick assessment covering most of the topic 14. Straight lines revision - 60 questions to revise the whole topic 15. Homework - 19 questions on all aspects of the topic, fully works solutions included I have just worked through all these with my year 10 group and it took around 5 hours of lesson time to complete. A more able group may need less time but you have enough resources here to keep your classes busy for a number of lessons.

I used this resource as a homework with my Year 10 group after finishing work on statistical diagrams and the calculation of averages and the range. It has at least one question on each of the following: 1. Bar charts 2. Pie charts 3. Mode, median, mean and range from a list of data 4. Finding the missing value in a set of data given the mode/median/mean. 5. Finding the new mean after a data point is added/removed. 6. Finding averages from a frequency table and a grouped frequency table. Fully-worked solutions are provided.

This worksheet can be used to introduce de Moivre's theorem to your class and show how it can be used to find multiple angle formulae (e.g. sin 4theta = ...) and how these formulae help us to relate trigonometric equations to polynomial equations. The introduction shows how we can arrive at 2 different results for (c + is)^n by using de Moivre's theorem and a binomial expansion. There are then 3 examples of using this technique to derive multiple angle formulae. The second section focuses on relating trigonometric equations to polynomial equations and how this allows us to find exact values of trigonometric functions or to express the roots of a polynomial in trigonometric form. There are 3 examples to illustrate this, the first one is deliberately straightforward to help students see the connection between the trigonometric work and the polynomial equation. The solutions version of the worksheet has fully-worked solutions to all the examples and the notes in the introduction section are also completed. Once you have worked through this worksheet with your students they should be able to attempt an exercise of questions on their own.

This assessment has a non-calculator section and a calculator section. it covers the following skills: 1. Writing one quantity as a fraction/percentage of another 2. Converting mixed numbers and improper fractions 3. All four calculations with fractions 4. Finding a fraction/percentage of a quantity 5. Percentage increase/decrease 6. Finding the percentage change Fully worked solutions are included.

This resource can be used to teach your students all the required knowledge for the topic of polar coordinates (FP2) and contains examples to work through with your students. As the resource can be projected/printed it saves you time and allows your class to focus on understanding the techniques and attempting questions. The resource is split into six sections: 1. Defining points in polar coordinates and sketching curves 2. Tangents at the pole 3. Lines of symmetry 4. Maximum value of r 5. Converting between cartesian and polar form 6. Finding areas Note that this resource does not contain the answers to the examples - sorry! If I get time I will add them, or if you download and use this resource and send me your solutions I will add them in, crediting you of course.

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.