A set of resources to teach and practise solving quadratic equations by factorising. The first two resources (worksheet + powerpoint) can be used to show how the factorised version of a quadratic is linked to the graphical solution of the equation. The first worksheet has two sections. Section 1 has lots of examples similar to the presentation where they solve the equation using the graph and then by factorising. In section 2 the graph is no longer provided and they just solve the equation by factorising. The last two worksheets are for additional practice, split into the cases where the coefficient of x^2 is 1 and where it is larger than 1. All answers are provided.

Two worksheets to practise solving quadratic equations using completing the square. The first worksheet contains the answers, so is intended to be used as practice in the classroom, while the second worksheet does not include the answers, intended as a homework. Note that the solutions must be given in simplified surd form, so students need to be able to simplify surds. The coefficient of x^2 is always 1 throughout these worksheets.

These resources are designed to get students to practise using all 3 methods for solving quadratic equations and then to use their solutions to add information onto a given sketch. The first resources contains examples that are intended to be worked through as a class (no answers provided). The second resource is 4-page worksheet for students to work through on their own (worked solutions provided).

The presentation shows examples with graphs to help students realise that a quadratic equation can have 0,1 or 2 (real) solutions. The worksheet has an introductory section intended to be worked through as a class to establish the rules about the value of the discriminant and the number of (real) roots. This is followed by 10 questions for students to practise applying what they have learned. Answers are provided.

The worksheet has 15 questions which all involve drawing the 2 correct lines on the grids provided and finding the point of intersection to solve the simultaneous equations. It includes lines in the form y=mx+c and ax+by=c. Answers are included. Also included is a sheet for your class to revise drawing straight lines of the form y=mx+c and ax+by=c, which they may be useful before attempting the simultaneous equations sheet. Answers to this sheet are also included.

This is a fun game which is simple enough for any class to understand and play quickly, but is also unusual and interesting enough for older/brighter classes to enjoy. A great end of term activity or just a good activity that teaches strategy. This works best on an interactive whiteboard where players can make moves by touching the board, but would also work by projecting it onto a screen and the players making moves using a mouse on a PC. Full rules/instructions are on the first slide.

This 12-page worksheet contains lots of questions for students to practise finding particular points on quadratic graphs such as intersection points with axes, a point with a given x or y coordinate, or the vertex or line of symmetry. Initially a sketch of the graph is provided as an aid, but in later questions no graph is given. All answers are provided at the back of the worksheet. It is expected that students are able to solve quadratic equations before attempting this worksheet.

These resources are on averages from a list of data. They contain some questions that involve calculating an average but focus on finding a missing value in the list (given the mean/mode/median) or on creating a list of numbers that match some given criteria. The first 2 resources go together as class activity to practise finding an unknown value in a list of data given its mean/mode/median. The first worksheet follows on from this activity and gives students the opportunity to practise this type of question. The final worksheet practises creating a list of numbers that match some given criteria. In the first section there are examples to complete as a class then there is an exercise for students to complete on their own. (note that answers are not included as there is not a unique solution to each question)

A set of resources to cover the whole topic of averages up to GCSE level. The first 2 resources go together as a revision activity with worked examples to revise calculating averages from a list of data, frequency table and a grouped frequency table. The 3rd resource is just an single A4 revision sheet with all the information/techniques students need to know about averages at GCSE. There are 3 worksheets. The first contains over 20 questions on averages from a list of data. The second contains 8 questions that involve finding all 3 averages from frequency tables. The final worksheet contains 10 questions on finding the modal class, the class that contains the median, and an estimate of the mean. Answers for all worksheets are included. The final resource is a powerpoint presentation that can be used as plenary/competition/revision activity. It contains 21 slides of multiple choice questions for your students to attempt.

These resources contain questions that revise the 3 methods for solving linear simultaneous equations - graphical, elimination and substitution. There are 2 different revision resources here - the second is provided in two versions (with and without the answers).

The first resource contains examples intended to be worked through as a class to practice the method. The other resources are 2 worksheets each with 11 questions for students to complete on their own (answers included).

These resources are for solving linear simultaneous equations using the method of elimination. The presentation explains how to determine whether to add/subtract the equations to eliminate a variable, and includes the first step in a number of examples. There is a printable version of the presentation for your students to complete as you work through the powerpoint. The next resource is designed to help your students master the critical first step of deciding whether to add/subtract the equations and performing that operation accurately. There are a few examples to work through as a class and then there are nearly 50 questions for students to complete themselves. Answers are included. There are then two worksheets for students to work through, both given with and without the answers, so they can be used as classwork or as homework. The first worksheet contains examples that do not require any multiplication, the examples on the second worksheet do require multiplication of at least one of the equations.

This activity uses a spreadsheet to generate random questions on averages for students to attempt to try to score points. There are 10 different levels of difficulty of the questions (level 1 questions earn 1 point, level 10 questions earn 10 points). Each student/team should open up the spreadsheet and just follow the instructions, trying to earn as many points as possible in the time you give them. This is a great activity as there is differentiation in the questions, the questions are all different for each student/group, and the spreadsheet does all the marking!

The presentation and accompanying sheet can be used to introduce plotting points on a scatter diagram, considering correlation and the line of best fit. The worksheet can then be given to students to practise the topic - worked solutions are provided.

A powerpoint presentation that reminds students what information is required to use the Sine/Cosine rule and then has a number of examples for them to consider which rule should be chosen. The printable version can be given to student to complete, annotate or make notes on as you work through the slides.

Teaching a class about the shape of trigonometric graphs and using them to learn rules that can be used to solve trigonometric equations can be difficult using a textbook or drawing on a whiteboard - I find it much easier with these printable worksheets with ready-drawn grids and graphs. The first worksheet gets students to work out and plot values of the sine function between 0 and 360 degrees so see the shape of the curve. There are then a number of examples using the sine graph to find angles with equivalent values using sine (e.g. sin 30 = sin 150). The worksheet finishes with some equations to solve, of the form sinx = a, where the students should use the rule(s) they have learned to find all the solutions. The next two worksheets follow the same format as the first, but now for the cosine and tangent functions. The last document practises working with all 3 graphs/functions so it can be used as a summary activity or assessment.

This worksheet starts with a refresher of the 2 methods to find the equation of a straight line if we know its gradient and a point it passes through. The next section is on finding tangents. There is an introduction with an explanation of the method, a couple of examples to work through as a class, and then 15 questions for students to do themselves. The next section is on finding normals. Again, there is an introduction with an explanation of the method, a couple of examples to work through as a class, and then 10 questions for students to do themselves. All answers to the students questions are included. 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 finding tangents and normals to a curve.

The first worksheet introduces the method for finding the point(s) on a curve with a particular gradient. There are a few examples to work through as a class and then 16 questions for students to attempt. The second worksheet focuses on finding stationary points. Again, it explains the method, has a few examples to work through as a class and then 20 questions for students to complete. The worksheet then has a section that can be used to explain how to determine the nature of a stationary point by considering the gradient of the curve just before/after the point. There are some examples to do as a class and then 8 questions for students to complete. The final worksheet can be used to explain and practise using the second derivative for determining the nature of stationary points. Answers to all exercises are included. 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 finding stationary points on a curve.