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 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:
https://www.tes.com/teaching-resource/differentiation-and-integration-with-exponential-and-trigonometric-functions-new-a-level-11981186
This bundle contains all the resources you need to teach and assess the mechanics content of the AS part of the new A level.
For each topic there is a booklet with notes, examples and exercises, and then another resource that can be used as a homework or a test.
Solutions to all the exercises are included, together with worked solutions to all the homeworks/tests.
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:
https://www.tes.com/teaching-resource/differentiation-and-integration-with-exponential-and-trigonometric-functions-new-a-level-11981186
This 33-page resource introduces the methods used to differentiate more complex functions, 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 sections are:
Chain rule - how to differentiate a function of a function (2 pages of examples then a 4-page exercise)
Product rule (1 page of examples then a 2-page exercise)
Quotient rule (1 page of examples then a 3-page exercise)
Implicit differentiation introduction (1 page of examples then a 1-page exercise)
Implicit differentiation involving product rule (2 examples then a 3-page exercise)
Applied implicit differentiation to find stationary points, tangents etc (2 pages of examples then a 3-page exercise)
Differentiation of exponential functions (1 page of examples then a 1-page exercise)
Differentiating inverse functions (2 pages of examples then a 1-page exercise)
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.
Also included is a 10-question 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
These 2 resources cover all the required knowledge and techniques for trigonometry, as required for the AS part of 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 first resource is a 27-page booklet which covers the following:
1.The graphs of trigonometric functions, their period and amplitude/asymptotes
2.Exact values of trigonometric functions
3.Trigonometric identities
4.Finding the value of other trigonometric functions given, for example, sin x = 0.5 where x is obtuse
5.Solving trigonometric equations (3 different exercises on this, with increasing difficulty)
The second resource is a 13-question assessment that can be used as a homework or test. Fully worked solutions to this assessment are provided.
The third resource is a 15-page booklet which covers the following:
1.Using the sine rule to find angles/sides in a triangle
2.Ambiguous case of the sine rule
3.Using the cosine rule to find angles/sides in a triangle
4.Area of triangle = 0.5ab sin C - using this, together with the other rules, to determine the area of a triangle
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:
https://www.tes.com/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 set of resources contains everything you need to teach the topic of inequalities on graphs.
The students need to be confident with straight line graphs for this topic so the first worksheet is a refresher of those.
Next is a powerpoint with worked examples of finding the single inequality represented by a shaded region.
The worksheet that follows practises finding the single inequality that describes the given shaded region (4 pages).
The next worksheet practises finding the 3 inequalities that describe the given shaded region (4 pages).
The worksheet "Inequalities on graphs" gives students lots of practice drawing the shaded region (both single and multiple inequalities) and finding inequalities for shaded regions (10 pages).
The final resource is intended as a homework or summative assessment (4 pages).
All answers are included for printing/projecting for your class to check their answers.
The introduction activity highlights the difference between bar charts and histograms and the fundamental area=frequency property.
The main worksheet (drawing and using histograms) has an introductory section to summarise how histograms work, 3 examples to work through as a class and then 7 pages of questions for students to attempt. All answers are included, either at the end of the worksheet or on the separate solutions document.
The final document has examples of finding the median and inter-quartile range from a histogram. This is designed to be done as a class and then the students can practise this using certain questions on the main worksheet.
This 4-page worksheet introduces the method for solving quadratic inequalities of the form x^2k.
After explaining the method there is a short exercise to practise solving inequalities of the form x^2k.
There are then some examples that require simplification or rearranging to solve (e.g. 3x^2-75>0) to work through as a class, followed by an exercise of similar questions for students to attempt.
All answers are included.
This worksheet contains over 20 questions for students to practise solving 3-term quadratic inequalities.
For the first handful of questions a sketch of the quadratic graph is provided as an aid.
The questions become increasingly difficult and this worksheet will be a good challenge for able GCSE pupils who know the methods for solving quadratic equations.
All answers are included at the end of the worksheet.
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.
I think this is difficult topic to teach well from a textbook. I find these resources make it a lot easier to teach the topics and help my classes make greater progress in the lesson.
A practice worksheet for loci (8 pages, with solutions), then a practice worksheet on constructions (8 pages).
Then a mixed worksheet (8 pages, with solutions).
Note - make sure these worksheets are printed at full size (A4) or the scale/measurements will not work!
This powerpoint presentation contains 25 multiple-choice questions on the topic of area and perimeter of circles and sectors. It is a fun way to assess the whole class at the end of teaching this topic, or it can be used as a competitive activity with the class divided into teams.
The questions are designed to be attempted without a calculator. Each questions has 4 possible answers from A to D. This activity works best if each person/team has (coloured) cards with the letters A to D on to hold up to show what they think is the correct answer.
This 24-page worksheet has almost 80 questions on the topic of finding the area and perimeter of circles and sectors.
There is a mixture of non-calculator and calculator questions, which are clearly indicated.
All answers are provided at the end of the worksheet.
In each question the students are given two different shapes and told the relationship between their perimeters/area/volumes. Based on this information they must either work out a length of one of the shapes or express a length of one shape in terms of a length of the other.
These can be demanding questions and, in my experience, students struggle with these questions unless they've had a fair bit of practice.
This worksheet contains 6 pages of questions and all answers are provided.
This 16-page worksheet contains 50 questions.
In each question the student is given the perimeter/area/volume of the shape and must use this to work out one of the lengths of the shape.
There is a mixture of calculator and non-calculator questions, which are clearly indicated.
All answers 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.
A set of six resources mostly on the more basic aspects of probability.
1. A worksheet on finding probabilities from two-way tables.
2. A worksheet on expectation.
3&4. Resources to introduce and practise questions on relative frequency.
5. An 8-page worksheet covering all aspects of basic probability.
6. A worksheet on independent, mutually exclusive, complementary and exhaustive events.
Answers to all worksheets are provided.
This simple 2-sided worksheet practises writing one quantity as a fraction of another, in its simplest form.
There is an explanation of the method, together with a few examples to work through as a group. The exercise contains over 20 questions for students to attempt, with several questions in context towards the end.
Solutions are provided.
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.