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 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.
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.
The first worksheet has an introduction and explanation about increasing/decreasing functions, a few examples to work through as a class and then an exercise with 11 questions for students to complete. Answers to the exercise are included.
The second worksheet gives students some practice at using differentiation to help sketch graphs. There are a couple of examples to go through with your class and then an exercise with 7 questions. Solutions are provided.
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 the general method of increasing/decreasing functions and sketching.
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.
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.
This worksheet can be used to teach and practise the method for finding the area between a curve and the y-axis using integration. The questions are designed so that students practise rearranging the curve y=f(x) into x=g(y) and then integrate with respect to y. The first page introduces this method and then there are 2 examples to work through as a class. There are then 3 more pages of questions, all with diagrams, for your students to attempt. Answers are provided.
The powerpoint presentation can be used to introduce this topic, containing examples and explanations.
The notes and examples sheet can just be handed out as a reminder during the tasks, or later as a revision resource.
The first activity just requires the students to indicate on a grid whether each item is an equation, expression, identity or formula.
The second activity involves cutting out each item and putting/sticking it into the correct column on the answer table.
All answers are included.
This 10-page resource covers all the required knowledge and techniques for related rates of change, as required for the new A level. It contains notes, explanations and examples to work through with your class followed by an exercise of questions for students to attempt themselves (answers included).
It begins with an introductory example which shows related quantities can change at different rates and how the chain rule can be used to connect them.
There is then a summary of the method and a page of example questions to complete with your class. The exercise that follows contains over 40 questions for your students to attempt.
This projectable and printable resource will save you having to create or write out any notes/examples when teaching the topic, and will make things easier for your students as they can just work directly on the given spaces provided for solutions. Answers to all exercises are included.
Here is an example of one of my A level resources that is freely available:
/teaching-resource/differentiation-and-integration-with-exponential-and-trigonometric-functions-new-a-level-11981186
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:
/teaching-resource/differentiation-and-integration-with-exponential-and-trigonometric-functions-new-a-level-11981186
This 26-page resource covers all the required knowledge and techniques for binomial expansions with positive integer powers, as required for the new AS level. In every section it contains notes, explanations and examples to work through with your class followed by an exercise of questions for students to attempt themselves (answers included).
The types of questions included in the examples and exercises are:
1.Expand (ax+b)^n or (a+bx)^n
2.Find first 3 terms, in ascending powers of x, of the expansion of (a+bx)^n
3.Find the coefficient of x^k in the expansion of (a+bx)^n
4.Given the coefficient of x^k in the expansion of (a+bx)^n, find the value of a (or b).
5.Evaluating or simplifying nCr without a calculator
6.Given that (1+ax)^n = … find the value of n
7.Expand (ax+b)^n, hence expand (cx+d)(ax+b)^n
8.Use the first 3 terms of an expansion of (a+bx)^n to estimate k^n
In all there are over 100 questions in the various exercises for your students to work through.
This projectable and printable resource will save you having to create or write out any notes/examples when teaching the topic, and will make things easier for your students as they can just work directly on the given spaces provided for solutions. Answers to all exercises are included.
Also included is a 16-question assessment that can be used as 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:
/teaching-resource/differentiation-and-integration-with-exponential-and-trigonometric-functions-new-a-level-11981186
This 11-page resource covers the different techniques for using integration to find the size of areas, as required for the new A level. In every section it contains notes, explanations and examples to work through with your class followed by an exercise of questions for students to attempt themselves (answers included).
The types of questions included in the examples and exercises are:
1.Area between a curve and the x-axis where some/all of the curve is below the x-axis
2.Area enclosed between two graphs
3.Area between a curve and the y-axis
This projectable and printable resource will save you having to create or write out any notes/examples when teaching the topic, and will make things easier for your students as they can just work directly on the given spaces provided for solutions. Answers to all exercises are included.
Here is an example of one of my A level resources that is freely available:
/teaching-resource/differentiation-and-integration-with-exponential-and-trigonometric-functions-new-a-level-11981186
These 2 resources cover all the required knowledge and techniques for the application of vectors, as required for A2 part of the new A level. In each section it contains notes, explanations and examples to work through with your class followed by an exercise of questions for students to attempt themselves (answers included).
The first resource is a 37-page booklet which covers the following:
1.Using vectors to describe the motion of an object in 2 dimensions
2.Motion of an object in 2 dimensions (constant acceleration)
3.Motion of an object in 2 dimensions (non-constant acceleration)
4.Vectors in 3 dimensions
5.Geometrical problems
The second resource is an 16-question assessment that can be used as a homework or test. Fully worked solutions to this assessment are provided.
This projectable and printable resource will save you having to create or write out any notes/examples when teaching the topic, and will make things easier for your students as they can just work directly on the given spaces provided for solutions. The comprehensive set of exercises contains over 100 questions for your students to complete. Answers to all exercises are included.
Here is an example of one of my A level resources that is freely available:
/teaching-resource/differentiation-and-integration-with-exponential-and-trigonometric-functions-new-a-level-11981186
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).
This is a tricky little topic so this worksheet may be useful extra practice for your class. Six questions, some with diagrams as an aid. Answers included.
I think this is a difficult topic to teach well from a textbook. These printable worksheets have helped my classes make faster progress and gain a better understanding within the lesson.
The resources are suitable for the new GCSE specification which does not include stretches of graphs.
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!
Each worksheet contains 30 questions.
The first worksheet has examples of the form (a+b)^2 and (a-b)^2.
The second worksheet has examples of the form (a+b)(a-b).
All answers are included.
The first worksheet studies the interior angles of polygons and is designed to help students realise the method for working out the sum of the interior angles of an n-sided polygon. There is also a short exercise of questions to practise using the rules they have found.
The second worksheet studies the interior and exterior angles or regular polygons and is designed to help students realise the easiest way to find the interior/exterior angle of an n-sided polygon or to work out the number of sides of a regular n-sided polygon with a given interior or exterior angle. There is also a short exercise of questions to practise using the rules they have found.
Answers to both exercises are included.
A worksheet to learn and practise all the methods and formulae, a presentation to revise all the methods as a class, and a homework/worksheet as a summative assessment.
All answers are included.
