These resources are designed to cover the whole topic of direct and inverse proportion in the new GCSE (higher tier). The first resource is intended to be worked through as a class, learning the correct formulae to use in each case and working through examples. The second resource is a quick exercise to check students understand how to choose the correct formulae for direct and inverse proportion. The third resource is 6 pages of exam-style questions for students to work through on their own. The powerpoint presentation tests whether students can choose the correct formula to match a given graph showing the relationship between two quantities. The final resource can be used to revise the whole topic prior to a test or in preparation for examinations. All answers are included.

I have used this resource a few times with my classes to cover the whole topic of groups. This 24-page worksheet covers all the required knowledge and skills for FP3. Each section starts with introductory notes or examples, followed by an exercise for students to attempt. The sections are: 1. Sets, binary operations, closed/commutative/closed operations, identity elements and inverses. 2. Groups - definition of a group, order of a group, group tables 3. Multiplicative groups and cancellation laws 4. Groups using modular arithmetic 5.Symmetries of shapes 6. The order of an element 7. Cyclic groups and generators 8. Subgroups 9. Lagrange's theorem 10. Isomorphic groups The completed worksheet with all notes, examples and exercises completed (with fully-worked solutions) is also included.

These resources are a collection of short tests on the application of Pythagoras’ theorem. All the tests are quite short (3/4 questions, so 5-10mins max). I created them so that I was able to test my classes more regularly on topics at different points through the year - each test is similar enough so that classes hopefully improve at the “standard” questions but there is also some variety in the later questions in each test and a progression in difficulty as you go through the tests. There are 5 tests designed to be done with a calculator, 13 tests to be done without a calculator. The questions include: Finding the longest/shorter side of a right-angled triangle Determining whether a triangle is right-angled Finding the distance between 2 points Using Pythagoras’ theorem in isosceles triangles, rectangles, squares etc Using Pythagoras’ theorem in 3D Using Pythagoras’ theorem where side lengths are given as surds All tests come with fully-worked solutions which makes them easy to mark. This means that the tests could also be used as a revision resource for students. A sample of the tests is available for free here: https://www.tes.com/teaching-resource/pythagoras-theorem-test-x2-11923017

These resources can be used to teach the topic of estimation - where the result of a calculation is estimated by rounding the value of all numbers in the calculation to 1 significant figure. The powerpoint presentation introduces the method and contains examples for the students to practise. Students can use the print-version to make notes and attempt the practice questions. The group activity is a differentiated activity that allows each group to choose the difficulty of question they attempt in each round. Instructions, answers and a scoring spreadsheet are included. The estimation worksheet contains 18 questions. The treasure hunt is a group activity which can be done at desks or can involve the class moving around the room to find the next question - usually a very popular activity! All answers are included.

I think this set of resources covers everything your classes need to learn and practice on straight line graphs (up to GCSE level). All the resources are suitable to be projected or printed for students to work on, saving a lot of time for drawing graphs and allowing them to annotate or work on diagrams. All resources come with solutions included. Here is a brief description of each resource: 1. Basic straight lines - lines of the form x=a, y=a and y=x or y=-x 2. Drawing straight lines - 10 questions using the equation of a line y=mx+c to complete a table of values and draw the graph. 3. Cover-up method - 12 questions to practise drawing lines of the form ax+by=c 4. Using the equation - test if a point lies on a line, determine y-coord given x-coord and vice versa (70 questions) 5. Finding the gradient - 18 questions to practise finding gradients, including where the scales on the axes are not the same 6. Matching y=mx+c to the graph - they find the gradient and y-intercept for each given graph and equation, learning the connection between the equation and properties of the graph 7. Equation to gradient and y-intercept - simple worksheet to practice writing down the gradient and coordinates of y-intercept from the equation, and vice versa (24 questions) 8. Finding the equation of a line - 24 questions to practise finding the equation of the line from its graph, including where the scales on the axes are not the same 9. Finding equation using point and gradient - 10 questions to practise doing this with a grid as an aid, then 26 questions without a grid 10. Pairs of lines - 4 graphs, each with a pair of parallel or perpendicular lines. By finding the equation of each line the students should start to see the rules for gradients of parallel and perpendicular lines 11. Parallel and perpendicular lines - almost 50 questions finding the equation of a line parallel / perp to a given line that passes through (0,b) or (a, b) 12. Using two points A and B - find midpoint M of AB, gradient of line through A and B, equation of line through A and B, equation of line perp. to AB through A, B or M. 10 questions to learn the methods with grids as an aid, then an exercise for each style of question (over 50 questions in total). 13. Multiple choice questions - quick assessment covering most of the topic 14. Straight lines revision - 60 questions to revise the whole topic 15. Homework - 19 questions on all aspects of the topic, fully works solutions included I have just worked through all these with my year 10 group and it took around 5 hours of lesson time to complete. A more able group may need less time but you have enough resources here to keep your classes busy for a number of lessons.

The introduction activity is designed to enable students to discover the 9 circle theorem results by following instructions about what to draw and then measuring the resulting angles. The theorems should be covered in the same order as on the "9 rules" sheet which can be displayed or handed out afterwards. There are some spare circles provided at the end if students make mistakes. The group activity is a differentiated activity that tests all the circle theorems once they have been learned and practised. Instructions, answers and a scoring spreadsheet are included. The powerpoint presentation can be used as a class to practise using all the circle theorems. For each slide the class must work out the size of the missing angle and state the circle theorem used.

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.