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All my resources have been created to use with classes I teach. Often I've created resources because, for a particular topic, I haven't been happy with the number/standard of the examples in a textbook. Sometimes I've created worksheets for certain topics (e.g. graph transformations) because I feel my classes will make greater progress on a printed worksheet than trying to work from a textbook. I always aim to produce high-quality resources that improve the students' learning and understanding.

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All my resources have been created to use with classes I teach. Often I've created resources because, for a particular topic, I haven't been happy with the number/standard of the examples in a textbook. Sometimes I've created worksheets for certain topics (e.g. graph transformations) because I feel my classes will make greater progress on a printed worksheet than trying to work from a textbook. I always aim to produce high-quality resources that improve the students' learning and understanding.
AS level statistics bundle for new A level

AS level statistics bundle for new A level

These resources cover all the required knowledge for the statistics element of the new AS level papers. For each topic there are detailed notes, examples, exercises (with answers) and an assessment with fully worked solutions. Please see the individual resources for more details.
langy74
Resolving forces - worksheet to teach and practise this skill (Mechanics 1)

Resolving forces - worksheet to teach and practise this skill (Mechanics 1)

I found it time-consuming tryingto teach my classes how to resolve forces by drawing diagrams on the board and asking them to copy them down - it seemed to take ages and they didn't get to work through that many examples themselves. So I created this worksheet with ready-made diagrams with all the forces and a blank copy of diagram for students to add on the resolved forces. I no longer dread teaching this skill and my classes get a lot more done in the lesson time. The worksheet starts with an introductory explanation and a worked example. There are then over 20 questions for students to attempt. Fully worked solutions are included.
langy74
AQA Large data set resources

AQA Large data set resources

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.
langy74
Pythagoras' theorem test x18

Pythagoras' theorem test x18

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
langy74
AS level statistics test x2 (new A level)

AS level statistics test x2 (new A level)

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.
langy74
Combined graph transformations (new A level)

Combined graph transformations (new A level)

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.
langy74
AQA Large data set resources

AQA Large data set resources

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.
langy74
Powers - resources to teach, practice, revise and assess

Powers - resources to teach, practice, revise and assess

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.
langy74
Vectors (Core 4) - resources to cover the whole topic

Vectors (Core 4) - resources to cover the whole topic

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.
langy74
AS level calculus bundle for new A level

AS level calculus bundle for new A level

These resources cover all the required knowledge and skills for differentiation and integration at AS level for the new A level. Each resource contains teaching notes, examples, exercises (with solutions) and an assessment that can be used as a homework or a test. Please see the individual resources for more details.
langy74
Integration (new A level) - notes, examples & exercises and a homework/test

Integration (new A level) - notes, examples & exercises and a homework/test

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.
langy74
A2 level statistics bundle for new A level

A2 level statistics bundle for new A level

These resources cover all the required knowledge for the statistics element of the new A2 level papers. For each topic there are detailed notes, examples, exercises (with answers) and an assessment with fully worked solutions.
langy74
Further hypothesis testing (new A level) - notes, examples, exercises and a homework/test

Further hypothesis testing (new A level) - notes, examples, exercises and a homework/test

This 15-page resource covers all the required knowledge and techniques for hypothesis testing in the A2 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: The distribution of the sampling mean Hypothesis tests using sample means Hypothesis tests using correlation coefficients 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 3-page assessment that covers the whole topic. Fully worked solutions are included.
langy74
Normal distribution (new A level) - notes, examples, exercises and a homework/test

Normal distribution (new A level) - notes, examples, exercises and a homework/test

This 28-page resource covers all the required knowledge for the normal distribution in the A2 part of the new A level. In every section it contains notes 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. Discrete vs continuous random variables 2. Properties of the normal distribution curve 3. Using a calculator to find probabilities 4. z-scores 5. Standard normal distribution 6. Conditional probability 7. Questions that involve both the normal and binomial distribution 8. Inverse normal distribution 9. Finding unknown parameters 10. Using the normal distribution as a model 11. Approximating a binomial by a normal 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 a test. Fully worked solutions are provided.
langy74
AS level statistics bundle for new A level

AS level statistics bundle for new A level

These resources cover all the required knowledge for the statistics element of the new AS level papers. For each topic there are detailed notes, examples, exercises (with answers) and an assessment with fully worked solutions. Please see the individual resources for more details.
langy74
Using vectors and ratio to find coordinates of a point

Using vectors and ratio to find coordinates of a point

These resources are for teaching how to answer the following type of question, common on new GCSE papers: Points A and B have coordinates (2,3) and (8,-6). Point N is on line AB so that AN:NB = 2:1. Find the coordinates of N. The powerpoint presentation starts with a refresher question about using ratio and then has a number of examples of the above question, with diagrams, to work through as a class. The printable version of the presentation can be given to students for them to complete as you go through the presentation. The worksheet has 14 questions for students to complete on their own, initially with the aid of a diagram and then without for later questions. Fully worked solutions are provided.
langy74
Conditional probability (new A level) - notes, examples, exercises and a homework/test

Conditional probability (new A level) - notes, examples, exercises and a homework/test

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.
langy74
Set of resources on Venn diagrams and probability

Set of resources on Venn diagrams and probability

These resources are designed for the new GCSE higher tier. The first worksheet introduces how Venn diagrams work and the notation used for the different sections of the diagram. The second worksheet is to practise using the notation correctly. The powerpoint can be used as a whole class activity to see if they have learned the notation correctly - it contains 11 multiple choice questions, for each they must choose which option is the correct notation for the given Venn diagram. The final 10-page worksheet is a set of exam-style questions. All answers are included.
langy74
Groups - teaching notes, examples and exercises (with solutions)

Groups - teaching notes, examples and exercises (with solutions)

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.
langy74
First order differential equations worksheet

First order differential equations worksheet

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.
langy74
Second order differential equations worksheet

Second order differential equations worksheet

This 12 page resource covers the solution of 2nd order differential equations by finding the roots of its auxiliary equation, and its particular integral. The first section focuses on cases where the auxiliary equation has real roots (distinct or repeated). It begins by concentrating on finding only the complementary function - there are several examples to work through with your class and then an exercise with 14 questions for students to attempt. There are then a few examples that involve finding both the complementary function and the particular integral. The second section focuses on cases where the auxiliary equation has complex roots (a+/-bi or +/-bi). There are several examples to work through with your class and then an exercise with 18 questions for students to attempt. The exercise includes questions where students are required to consider the behaviour of the solution (bounded/unbounded oscillations) when x becomes large, as well as the function to which the solution approximates when x becomes large. Answers to both exercises are included.
langy74
Solving linear inequalities worksheet + homework/test

Solving linear inequalities worksheet + homework/test

This worksheet covers how to solve single and double-sided inequalities and includes representing the solution on a number line as well as considering examples where integer solutions are required. The introduction covers what the solution to a linear inequality should look like and, by means of a few examples, explores the similarities and differences between solving equations and inequalities. The first exercise (52 Qs) then gives students practice solving inequalties of the form ax+b>c, x/a+b The second section focuses on double-sided inequalities such as 3 The final section is designed to help students consider the integer solutions to an inequality. In the examples students need to find the smallest possible integer value of n if n>p, the largest possible integer value of n if n Answers to all the exercises are provided, including the solutions on number lines. Also included is a homework/test with fully worked solutions.
langy74
Hypothesis testing (new A level) - notes, examples, exercises. MCQs and a homework/test

Hypothesis testing (new A level) - notes, examples, exercises. MCQs and a homework/test

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. Also included is a 2-page assessment that covers the whole topic. Fully worked solutions are included.
langy74