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.

This 4-page worksheet will give your students plenty of practice at representing linear and quadratic inequalities on graphs, as well as writing down the inequalities illustrated by given regions. This printable resource will make it much easier for your classes to work through this topic rather than working from a textbook or drawing axes/diagrams themselves. There are over 30 questions on the worksheet - solutions are provided.

These resources will help your class understand how performing 2 transformations on a graph will affect its equation. The first worksheet has several examples designed to help the students realise when the order in the which the transformations are performed is important. The second worksheet is split into 2 sections. Section A has 10 questions where students must use the description of the pair of transformations to find the equation of the resulting curve. Section B has 18 questions where students must describe the pair of transformations that map the initial graph onto the transformed graph. Solutions to both worksheets are included. Note that these worksheets assume that students are familiar with the functions e^x, ln x and inverse trigonometric functions.

These resources are designed to aid the teaching and learning of using a graphical method to solve linear programming problems. The first resource introduces the idea of representing inequalities on graphs and finding the point(s) that maximise a given objective function. There are also some examples that require integer solutions so the optimal point is not at a vertex of the feasible region. The second resource provides practice of solving problems with a provided graph - these are examination style questions and involve considering how changes to the objective function may change the optimal point(s). The third resource has 2 example questions in context where the students must use a description of a problem to formulate the objective function and the non-trivial constraints, and then go on to solve the problem graphically. Grids are provided for all graphs and solutions are included for all questions.

This is a worksheet that is designed to be used to introduce the methods/formulae for solving arranging and choosing problems and includes exercises for the students to practise each type of problem. It includes 5 sections, one for each different type of problem. Each section has an introductory activity to work through as a class, followed by an exercise for the students to attempt. There is also a mixed exercise at the end. All answers included. This is intended for the new GCSE maths syllabus.

Powerpoint presentation designed to review the methods and formulae required to solve arranging and choosing problems. Useful to review the methods before setting an exercise or for revision of the topic. Suitable for the new GCSE maths syllabus.

A two-sided sheet of questions designed as a homework or summary task after learning how to solve problems involving arranging and choosing items. Worked solutions included. Suitable for the new GCSE maths syllabus.

The introduction sheet is designed to be used as a class activity to learn about bearings and then solving problems involving bearings using trigonometry. The second sheet is a worksheet with a mix of problems involving trigonometry and bearings (answers included).

These resources can be used as a test or a homework to assess how well your class has understood the equation of straight line graphs. The first resource is a 4-page test where students must draw graphs, find gradients or points using y=mx+c, find the equation of graphs and answer questions about parallel and perpendicular lines. The second resource is another 4-page test, similar to the first, with some slightly altered questions. The third resource contains 24 multiple-choice questions. This is a quick way of assessing knowledge and understanding and is a common style of question in the new GCSE papers. All answers are included.

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 is a desert-island themed activity where students must follow instructions involving bearings and using the scale of the map to find where Mr.Crusoe visits each day. All my classes have loved this activity (and have enjoyed colouring in the map afterwards!). Make sure the map is printed as A3 size or the scale will not be correct!

These worksheets can be used to introduce and practise the new GCSE topic of equation of a circle (centred at origin) and the equation of a tangent to a circle. The first worksheet starts with an activity that helps the students to realise that x^2 + y^2 = k is the equation of a circle and is followed by some questions to practise using it. The second document is an 8-page worksheet which can be used to revise all the necessary skills/knowledge required before studying the equation of a tangent to a circle. Working through this first seemed to really help my GCSE group with this topic. Answers are included. The third document is a 9-page worksheet which focusses on finding the equation of a tangent to a given circle at a particular point or with a particular gradient. All answers are included.

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 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 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.

The first resource is table of 34 questions where the students must find, for example, the equivalent decimal and percentage for the given fraction. This worksheet does not require knowledge of recurring decimals. The second resource is for more advanced conversion of decimals to fractions and vice-versa. It is a 4-page worksheet which focuses on converting recurring decimals, including proofs. Answers to both worksheets are included.

The test includes 21 questions with 4 possible answers to choose from. A very quick way of assessing the knowledge of your class and the accuracy of their work, in a style of question now common on the new GCSE paper. Answers included.

This 15-page worksheet takes your students through the whole topic of functions which is in the new GCSE. The worksheet has 3 sections. Section A covers function machines, substitution of values and values where the function is not defined. Section B covers inverse functions. Section C covers composite functions. Each section has an introduction with some examples, followed by an exercise for the students to work through. Answers to all exercises are included.

The presentation introduces the idea of drawing a graph to represent how quickly a container fills with liquid over time. The print-version can be given to pupils to make notes on and complete as the presentation is shown. The worksheet is designed to test their understanding after completing the presentation (answers are included).

Each worksheet has a number of examples of graphs for students to learn/practise finding information from the graph. The worksheets include estimating velocity or acceleration by drawing a tangent to the curve. All solutions are included.