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.
These resources deal with problems where 2 or more items are chosen at random, we are given the probability of a particular outcome, and this is used to derive a quadratic equation that then needs to be solved.
The first resource can be used to teach the topic. It is in two sections - section A deals with selection with replacement, section B deals with selection without replacement. In each section there are 2 examples to work through with the class, followed by an exercise with more than 10 questions of increasing difficulty for the class to attempt themselves. Fully worked solutions to the examples and exercises are included.
The second resource is another set of questions that can be used as a homework or revision - 8 questions that are a mixture of with/without replacement.
Also included is a spreadsheet that calculates the probabilities for all outcomes in situations where there are between 5 and 40 items - just in case your class loves this topic and wants more questions!
These worksheets together contain over 30 pages of questions on objects on slopes - ideal practice for students preparing to sit their Mechanics 1 module exams.
Many of the questions have accompanying diagrams as an aid. Answers to all questions are provided.
I've always thought that graph transformations is a difficult topic to teach well from a textbook, that's the reason I created these worksheets so my classes could practise sketching the transformations without having to draw axes or try to copy the original curve.
This worksheet has examples and an exercise which focuses on reflections but some questions also involve translations.
The examples are designed to work through as a class and then the rules for the different reflections can be completed.
There are 7 pages of questions for students to complete, including sketching the transformed graph and stating the equation of a transformed graph.
All answers are included - I usually project these so that the whole class can check their answers.
The first two resources are 2 different worksheets that can be used to get your class to learn the different types of graph they are expected to be familiar with at GCSE (linear, quadratic, cubic, reciprocal, exponential and square root) and to be able to recognise or sketch them.
The first resource gets them to calculate points, plot them and join them up, while the second resource was designed to use Geogebra, but would suit any graphing software. In my experience students need a fair bit of time to complete these so this activity may well fill your entire lesson.
The third resource is a worksheet to check their knowledge after completing one of the earlier activities (solutions included).
This simple worksheet can be used to introduce/practise using number lines to represent inequalities.
The worksheet starts with a reminder about the different inequality symbols and what they mean. There are then a few examples (to do with your students) of representing inequalities on number lines and writing down the inequalities represented by given diagrams. There is a short exercise with 16 of each type of question - answers are included.
This simple worksheet is a good way to introduce/review angles in parallel lines.
It begins with diagrams of corresponding, alternate and allied (supplementary) angles, then there are some examples to work through with your class.
On the second page there is a short exercise with similar problems for the class to do themselves.
Answers to the exercise are included.
The first 3 resources help students to learn to label the sides of the triangle correctly (adjacent, opposite and hypotenuse).
There are then 2 worksheets, each with 18 questions to practise finding angles or sides using trigonometry. Answers are included.
The short worksheet on angle of elevation/depression explains what the angles represent and has 4 examples for students to complete - answers are included.
The multiple choice questions (including some non-calculator) can be used as an assessment after covering this topic. Answers are also included.
I created these resources to try to help my classes understand the process of factorising quadratic expressions of the form x^2+bx+c. The idea behind them is to first get the class to practise finding the 2 numbers that have a specified product and sum, then to start to apply this to factorisation with some scaffolded questions.
The first resource gets them to focus on finding the 2 numbers that have a specified product and sum. The 4-page worksheet is broken into four sections - both numbers positive, both numbers negative, one positive and one negative, and then a mixed section.
The second resource is a spreadsheet activity where your classes can further practise the skill of finding the 2 numbers that have a specified product and sum. The questions are randomly generated and they get instant feedback on their answers, either telling them it is correct or telling them which requirement (product/sum) has not been met, giving them a chance to try again. It keeps track of how many each student has answered correctly so you can make this into a competitive activity.
The final 4-page resource starts to apply the skill of finding 2 numbers that have a specified product and sum to factorising quadratics. Each section starts with a set of questions asking for 2 numbers with a specified product and sum, then asks the student to complete/write down the related factorisation. Each section concludes with some factorising questions with no scaffolding. Section A is both numbers positive, section B is both numbers negative, section C is one number positive and one number negative. Sections D has almost 50 quadratic expressions to factorise - starting with a few of each type and then moving onto mixed questions.
Answers to both the worksheets are provided.
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 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
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.
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 simple 2-sided worksheet can be used with your class as practice or revision of trigonometry in non right-angled triangles. The answers are included but can be removed if you want to use the sheet as a homework or test.
Note that one of the questions involves bearings.
I've always thought that graph transformations is a difficult topic to teach well from a textbook, that's the reason I created these worksheets so my classes could practise sketching the transformations without having to draw axes or try to copy the original curve.
This worksheet has examples and an exercise on stretches.
The examples are designed to work through as a class and then the rules for the different stretches can be completed.
There are 6 pages of questions for students to complete, including sketching the stretched graph, stating the equation of a stretched graph and stating the new coordinates of a point on the original graph.
All answers are included - I usually project these so that the whole class can check their answers.
Please note this topic is not in the new GCSE spec.
I've always thought that graph transformations is a difficult topic to teach well from a textbook, that's the reason I created these worksheets so my classes could practise sketching the transformations without having to draw axes or try to copy the original curve.
This worksheet introduces the topic of graph transformations and then has examples and an exercise on translations.
The examples are designed to work through as a class and then the rules for the different translations can be completed.
There are 6 pages of questions for students to complete, including sketching the translated graph and stating the equation of a translated graph.
All answers are included - I usually project these so that the whole class can check their answers.
I've always thought that graph transformations is a difficult topic to teach well from a textbook, that's the reason I created these worksheets so my classes could practise sketching the transformations without having to draw axes or try to copy the original curve.
This worksheet revises the rules for the different graph transformations and then has an exercise to practise the whole topic.
There are 7 pages of questions for students to complete, including sketching the transformed graph and stating the equation of a transformed graph.
All answers are included - I usually project these so that the whole class can check their answers.
Please note this is designed for the new GCSE spec so only covers translations and reflections.
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.
The presentation and accompanying worksheet introduces the topic of differentiation by considering the gradients of progressively smaller chords that are used to estimate the gradient of the curve/tangent at the point. Students use this method to find the gradient at some points on the y=x^2 curve and then on the y=x^3 curve - from these results they should be able to guess at generalising the method for differentiating x^n and then ax^n. This presentation and worksheet take a while to work through so this may take up a whole lesson.
The worksheet starts by reminding students how to differentiate and what dy/dx represents. In section A there are 18 examples of finding dy/dx to work through as a class, and then 30 questions for students to complete on their own. In section B there are a few examples of finding the gradient of a curve at a given point (to do as a class), then 10 questions for students to complete on their own. All answers are provided for the students' questions.
Note that this resource was designed specifically for the Level 2 Further Maths qualification, so only covers differentiating functions with positive integer powers such as y=5x^3-4x+2, but can still be used an introduction to differentiation in general.
This worksheet contains 25 pages of questions on objects on pulleys - ideal practice for students preparing to sit their Mechanics 1 module exams.
It has an introductory section which explains the important principles and terminology used, then there are 41 (multi-part) examination-style questions for students to work through. Answers to all questions are provided.