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This 32-page resource covers all the required knowledge and techniques for the more sophisticated methods of integration, 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/topics are: 1.Integration using "reverse chain rule" 2.Integration by substitution (x=f(u) or u=f(x)) 3.Integration by parts 4.Using trigonometric identities 5.Using a trigonometric substitution 6.Integrating rational functions In all there are over 130 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 12-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 worksheet is designed to develop students' knowledge and confidence when expanding and simplifying expressions that involve two brackets. The worksheet includes questions ranging from 2(3x+4) - 5(x-3), then (x+4)(x+2), (x-3)^2, and up to (2x+1)(x-4). The solutions are fully worked solutions showing each step of the expansion and simplification.

These 2 resources cover all the required knowledge and techniques for the topic of constant acceleration, as required for AS 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 32-page booklet which covers the following: 1.Deriving the constant acceleration formulae 2.Using the constant acceleration formulae 3.Vertical motion - objects falling 4.Vertical motion - objects projected upwards 5.Multi-stage problems The second resource is an 15-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

This simple worksheet focuses on using the following 3 rules for working out angles: 1. sum of angles on a straight line = 180 2. sum of angles at a point = 360 3. vertically opposite angles are equal It begins with brief revision of the names for different sizes of angles and then there is a section for each of the 3 rules. Each section contains some example questions to work through with your class and then there is a short exercise for them to complete. At the end there is an exercise of mixed questions to practise using all 3 rules. Answers to the exercises are included. I used this sheet with my (bottom set) year 10 group. The idea was that printing/projecting the sheet would save me (and them) having to write out any examples/diagrams as notes, so that time is saved and they can focus on answering questions. After completing the sheet the class were ready to attempt additional exercises from a textbook.

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.

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 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.