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.

This resource is designed for KS4 students attempting the Higher paper. It consists of a cover slide, a worksheet of 10 questions and a whole lesson including starter, examples and worked solutions to all the questions. The resource aims to equip students to tackle problems involving the mixture of two liquids and requiring students to find the density of the mixture or, if given that quantity, other properties of the mixture or of the constituent parts. The principles that mass and volume are conserved are given and an example is solved. The worksheet is structured: 2 questions where the properties of the parts are given and students have to find the density of the mixture; 2 questions where students have to find a property of a part; 2 questions with unit mismatches; 2 questions involving solids composed of two materials; 2 questions where students are asked to use percentages and ratios.

This lesson is the third in the series and follows on from ‘Upper and Lower Bounds for Area and Volume’. This time the upper and lower bounds are calculated for a quantity involving the DIVISION of one quantity by another, for both of which upper and lower bounds are known. Again the concept is explained using real-life contexts.

This resource is for KS4 students preparing for the Foundation paper. The resource consists of a lesson presentation and a worksheet. The lesson presentation includes worked solutions to the questions on the worksheet. Students learn how to subtract costs from revenue and to interpret the answer as profit or loss. The questions on the worksheet are structured from straightforward to more complex.

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 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 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.

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.

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.

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.

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 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.

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 KS4 students. The resource consists of a lesson presentation and a worksheet. The lesson presentation includes a starter, examples and worked solutions to all the questions on the worksheet. It explains the idea of upper and lower bounds by placing them in the context of taking real-life measurements. Error intervals are also defined and students are shown how to find the maximum possible error. This resource is followed by other lessons: ‘Upper and Lower Bounds with Multiplication’ and ‘Upper and Lower Bounds with Division’.

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 for low ability KS4 students. The resource consists of a lesson presentation and a worksheet. the lesson presentation includes worked solutions to all the questions on the worksheet. Students first learn how to find unit costs in order to compare different offers. They then learn how to compare prices given for different numbers of kg and other units. Finally they learn how to compare special offers such as BOGOF.

This resource is aimed at helping students answer a new style of GCSE question, where the initial ratio of a mixture (typically a drink) is given, a fraction of the total amount is removed and/or an amount is added and students then have to find a ratio, fraction or percentage from the final situation. The resource is for KS4 students taking the Higher paper. The resource consists of a lesson presentation with two examples. Students are then given three similar problems to answer and the worked solutions to these are included.

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.