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.
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.
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.
This worksheet focuses on using the sum of angles in a quadrilateral to find missing angles. It assumes that students are already familiar with angles in triangles, on a straight line, vertically opposite angles, and angles in parallel lines.
The first section covers different types of quadrilaterals and their properties. There is a short exercise where students practise choosing the correct type(s) of quadrilateral based on the information given.
The second section begins with the result for the sum of angles in a quadrilateral. 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 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.
Teaching a class about the shape of trigonometric graphs and using them to learn rules that can be used to solve trigonometric equations can be difficult using a textbook or drawing on a whiteboard - I find it much easier with these printable worksheets with ready-drawn grids and graphs.
The first worksheet gets students to work out and plot values of the sine function between 0 and 360 degrees so see the shape of the curve. There are then a number of examples using the sine graph to find angles with equivalent values using sine (e.g. sin 30 = sin 150). The worksheet finishes with some equations to solve, of the form sinx = a, where the students should use the rule(s) they have learned to find all the solutions.
The next two worksheets follow the same format as the first, but now for the cosine and tangent functions.
The last document practises working with all 3 graphs/functions so it can be used as a summary activity or assessment.
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.
This worksheet focuses on quadratic expressions where the question requires the candidate to show that the expression is always positive, never negative, etc.
There is an introductory activity where students practise thinking about expressions of the form ax^2 + b, or a(x-b)^2 + c - doing a quick sketch of the graph and then deciding whether they are always positive, never negative, always negative or never positive.
Next is a page of example proofs to work through with your class, followed by an exercise with 15 questions for your class to attempt themselves.
Fully worked solutions to the examples and the exercise are included.
This worksheet has 10 pages of non-calculator questions on finding the surface area and volume of shapes, including cones and spheres.
All answers are provided.
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.
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.
This is a simple worksheet I use with my classes once I have taught them about the motion of objects moving vertically (so acceleration is always +/-9.8).
In section A the objects falling or projected downwards, in section B the objects are projected upwards. All answers are provided.
This printable worksheet is a good way to get your class to practise using Prim's and Kruskal's algorithms to find the minimum spanning tree for a network. The sheet saves you or your students having to copy down any network or tables and allows you to focus your time on using the algorithms. The worksheet includes using Prim's on a network and on a matrix. Solutions are provided.
This printable worksheet can be used to introduce methods for expanding 2 brackets and get your class to practise the expanding and simplifying.
The first side suggests three alternative approaches that can be used (see the included solutions if any of these are unfamiliar to you) and has space to work through an example with the class for each method.
There are then 3 pages of examples for students to attempt (answers included).
A treasure hunt activity for a class to attempt individually or in groups.
There are 24 questions, numbered from -12 to -1 and 1 to 12. Each group chooses a number at random (or you can assign them a start number), and this is the number of the first question they should attempt - this should be written in the top-left circle on their answer grid. Their answer to their first question should be a whole number between -12 and 12 (except 0) - this should be written in the next circle on their grid and this is the number of the next question they should attempt. e.g. if a group starts on Q6 and they think the answer to Q6 is 11 then after Q6 they should attempt Q11 (and they should have 6 -> 11 on their answer grid).
If they answer the questions correctly they end up with the same chain of answers as on the solution, if they make a mistake they will repeat an earlier question and at that point you can decide how much help to give them sorting out their error(s).
This activity works best if you can stick the 24 questions around a large classroom or sports hall so the groups have to run around to find their next question. All the classes I've done these activities with have loved them.
In a desperate attempt to make rounding more fun, here is a worksheet where each question involves rounding several values, each answer produces a letter, then these letters must be rearranged to find the title of a film.
The rounding involves rounding to both decimal places and significant figures. Most films should be known by most students but this resource will need updating from time to time!
Solutions are included.
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.
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.
Contains 3 sets of detailed notes, examples and exercises to help you teach the whole topic of exponential models and fitting models to experimental data.
Also includes a 20-question assessement with fully-worked solutions that is ideal as an extended homework or a test.
A simple resource to give your class practice of finding the area of a shape by counting squares.
It has brief notes and examples at the start, then an exercise with 18 questions for students to attempt (answers included).
The shapes are squares, rectangles, triangles and compound shapes using these 3 shapes (so no circles or parts of circles).