This resource is aimed at KS4 students working towards the Foundation paper. The resource consists of a lesson presentation and a worksheet. The lesson presentation includes examples and worked solutions to all questions on the worksheet. The lesson is in two parts. firstly, students learn to divide to find the amount per item. In the second part, students learn to divide and then multiply to find amounts for a specified number of items.

This resource is for all KS4 students and teaches them how to tackle a common GCSE problem solving question. This lesson teaches students to tackle problems involving measuring an area, calculating the number of items such as tins or bags required and the cost of purchasing these items. The resource consists of a lesson presentation, a worksheet and a handout. The lesson presentation includes examples and fully worked solutions for the questions on the worksheet. The lesson is structured so that students start with easier two-stage problems involving finding area and then cost, before tackling the harder three-stage questions. The handout (HO) is a copy of the examples covered in the lesson and can be printed out for students to save them having to copy off the board.

The resource is for advanced KS4 students. The ability to use the sine rule, the cosine rule and the formula for the area of triangles is assumed. The lesson focuses on using two or three of these techniques to find missing lengths, angles and areas in problems involving adjoining triangles. The lesson presentation includes a starter and worked solutions to the problems on the worksheet.

This resource is for KS4 students. The resource consists of a lesson presentation and a worksheet. the presentation includes worked solutions to the questions on the worksheet. The lesson revises finding missing probabilities and takes students into the concept of exhaustive and non-exhaustive events.

The lesson is for KS4 students. The resource consists of a lesson presentation and a worksheet. The lesson presentation includes a starter and worked solutions to all the questions on the worksheet. Students learn how to solve simultaneous equations where one is linear and the other quadrilateral USING GRAPHS. (There is another version using algebra). The first question on the structured worksheet gives students both the straight line and a quadratic graph. Later questions expect students to draw the straight line graph.

The resource is for advanced KS4 students. It consists of a lesson presentation and a worksheet. The lesson presentation includes a starter, the teaching part and worked solutions to all the questions on the worksheet. The starter is revision of completing the square. Students are then taught how to use the completed square to find the coordinates of the turning point for a quadratic whose coefficient of x squared is 1. There are 8 examples for the students to do themselves. There is an extension of 6 questions involving quadratics where the coefficient of the x squared is either more than 1 or negative.

This resource is designed for students attempting the Higher GCSE paper. Its aim is to equip these students to tackle questions involving two-stage journeys and unit mismatches, features that are likely to feature in future exam questions, as the examiners attempt to add complexity to questions involving speed. The resource consists of a cover slide, a lesson presentation and a worksheet. The lesson presentation includes a starter, a worked example and solutions to all ten questions on the worksheet. The starter revises converting between different units of time and distance. The questions on the worksheet start simply with a question where students have to add to find total distance and total time before dividing to find the speed. Complexity is added by getting students to find the distance and time in one of the stages and by introducing unit mismatches including getting students to express minutes as fractions or decimals of an hour. There are also a couple of questions involving using ratio and percentages to analyse the results.

The resource is for KS4 students. The resource consists of a lesson presentation and a worksheet. The lesson presentation includes a starter, examples and worked solutions to the questions on the worksheet. The starter involves solving equations where the unknown is a power of a number. The general form for the equation of the graph is introduced and an example given showing how the equation can be found from the coordinates of two points. The worksheet starts with similar questions including where the base is a fraction. There are other questions where the student has to complete the coordinates of a third point. The final question asks students to match graph and equation.

This lesson follows on from ‘Upper and Lower Bounds in Context’ and again uses real life contexts to explain the concept. It teaches students how to find the upper and lower bounds for area and volume involving the multiplication of two or three lengths, each of which have their own upper and lower bounds.

This resource is for high ability KS4 students. The resource consists of a lesson presentation and a worksheet. the lesson presentation includes a starter and worked solutions to the questions on the worksheet. The starter involves working out the value of powers. The lesson then introduces exponential graphs and the use of the graphs to solve equations. It moves on to introducing practical problems involving exponential growth and decay.

This resource is for KS4 students. The resource is a series of three lessons looking at the application of trigonometry to right-angled triangles. Each lesson has a lesson presentation and accompanying worksheet. The lesson presentations include both a starter and worked solutions to the questions on the worksheet. Start with ‘Similar-Shapes-2-Trig-I’ and continue with ‘II’ and ‘III’. The trigonometric functions are represented as the ratios of lengths of sides in similar right-angled triangles. Students then learn how to find missing lengths and missing angles.

The resource is for high ability KS4 students. The resource consists of a lesson presentation and a worksheet. The lesson presentation includes a starter, examples and worked solutions to the questions on the worksheet. Students learn that there can be no, one or two solutions and that each solution consists of corresponding x and y values. Students are shown how to solve simultaneous equations where one is linear and the other is that of a circle USING ALGEBRA. (There is another version using graphs).

This resource is aimed at helping students answer three new types of ratio problems seen on GCSE papers. The first type of problem is where an amount has to be shared according to a ratio, the parts of the ratio are then changed and a new ratio formed and simplified. The second type of problem is where two ratios need to be combined to form one ratio. The third type of problem is where one part of a ratio is then expressed in terms of a second ratio and the two ratios have to be combined. The resource is therefore aimed at advanced KS4 students. The resource consists of a lesson presentation and a worksheet. The lesson presentation includes a starter, examples of all three types of question and worked solutions to all the questions on the worksheet.

This resource is for advanced KS4 students. The resource includes a lesson presentation and accompanying worksheet. The lesson presentation includes a starter and worked solutions to the problems on the worksheet. The lesson starts with a revision of angle of elevation. It proceeds to show how to form a right-angled triangle from a line and a plane and how to use trigonometry to calculate the angle between line and plane.

This resource is for low ability KS4 students. It consists of a lesson presentation, a worksheet plus two handouts. One handout is a matching exercise for students. (IT NEEDS TO BE CUT UP!) The other handout is a summary of what students can and cannot do when solving linear inequalities. The lesson starts with revision of solving equations. The idea of the solution to an inequality being a range of values is then explained as well as how students can solve inequalities. There is a matching exercise where students re-build solutions that have been cut up before solving two-part inequalities. There are two further parts to the lesson: three-part inequalities and integer solutions. In each case, an example is given before students complete an exercise of questions.

This resource is for KS4 students who are working towards the Foundation paper. The resource consists of a lesson presentation and a worksheet. Worked solutions to the worksheet are included. Students learn to compare prices by calculating the full price when offers involve instalments, discounts and prices are quoted before VAT is applied.

This resource is for high ability KS4 students. The resource consists of a lesson presentation and a worksheet. The lesson presentation includes a starter and three fully worked examples. Students learn how to solve simultaneous equations where one is linear and the other quadratic USING ALGEBRA. (There is another version using graphs).

This lesson is for advanced KS4 students. It consists of a lesson presentation and a worksheet. The lesson presentation includes a starter, two exercises for the students to do before tackling the worksheet and worked solutions to the worksheet. The lesson starts by revising re-arranging inequalities. For the first exercise, students are given a quadratic graph and are asked to match solutions to the corresponding quadratic inequality. The second exercise is a matching exercise with students asked to match a quadratic inequality to a graph and solution, helped by first calculating the discriminant. This leads into examples of finding the solution to a quadratic inequality and a varied sample of questions for the students to do.

This lesson is for KS4 students working towards the Foundation paper. The resource consists of a lesson presentation and a worksheet. The lesson presentation show students how to interpret and use timetables. It also includes a starter and worked solutions to the questions on the worksheet.

This resource is for KS4 students. Start with ‘1. Algebraic Proof Introduction KS4’ and the accompanying handouts and then continue with ‘2. Algebraic Proof Multiples KS4’ and its worksheet. Students are introduced to the idea of expressing consecutive numbers as n, n+1 … and to the expressions for odd and even numbers. In the second lesson presentation, students learn how to sum consecutive terms and prove that the sum is a multiple of a particular number.