This resource is for KS4 students taking the Foundation paper. 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 lesson teaches pupils how to find a linear expression for a composite area, how to form an equation and how to solve the linear equation to find the unknown.

This resource is for KS4 students and consists of a lesson presentation and a structured worksheet. The lesson presentation includes a starter and worked solutions to the worksheet. The starter is a revision of finding position-to-terms for linear sequences. Quadratic sequences are then introduced. Students are shown how to find the position-to-term rule for a quadratic sequence. The students are then asked to find the rule for a number of quadratic sequences. For the first three they are given structured support; for the next three none. As extension, the students are asked to find the position-to-term rule from any 3 terms.

The resource is for KS4 students. It consists of a lesson presentation and worksheet. The presentation includes a starter, examples and worked solutions to the questions on the worksheet. The starter revises using perimeter and the sum of angles to form and solve equations to find unknowns. The lesson extends this topic by labeling angles and lengths with expressions with two unknowns. For instance, one pair of opposite sides of a rectangle are both expressions in x allowing the student to find the value of x. The other pair of sides of the rectangle are expressions in x and y, allowing the student to also find y. The worksheet has 10 questions involving both angles and sides and a variety of shapes.

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 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.

This resource is for KS4 students. It consists of a lesson presentation, including starter, examples and worked solutions, and a worksheet including extension questions. The lesson intends to help students answer GCSE questions where they are asked to give the proportion of a larger shape that is shaded. They are shown that the proportion is a fraction equal to the shaded area divided by the larger area. Examples are given and then students answer questions on a structured worksheet. Initially the questions involve normal shapes whose areas are given by formulae but they become harder requiring students to be more enterprising in order to find the areas.

This resource is for KS4 students. It consists of a lesson presentation and worksheet. The lesson presentation includes a starter and worked solutions to the worksheet. The purpose of the lesson is to give students an understanding of directly and inversely proportional relationships and an understanding of the difference between them. (The lesson does not consider relationships where y is directly or inversely proportional to a power of x). The lesson starts with an example of both types of relationship and also a relationship that is neither. The students learn how to identify the type of relationship or absence of either from the corresponding values for the variables. The worksheet asks the students to do this for 8 different cases, before posing several real-life situations and asking the students to identify the type of proportionality.

This resource is for advanced KS4 students. The resource consists of a lesson presentation, including starter and worked solutions, and a worksheet of 3 questions. The lesson presentation seeks to teach students to answer a particular type of new GCSE question: combining two ratios where the amounts shared according to each ratio are different.

This resource is for advanced KS4 students. The lesson consists of a lesson presentation and a worksheet. The lesson presentation includes a starter and worked solutions. The purpose of this lesson is for students to learn to identify not just whether a relationship is direct or inverse but the exact power of the relationship. (There is a simpler lesson entitled ‘Direct and Inverse Proportionality’ in which students focus on whether a relationship is inverse or direct). Students are shown how to do this and are then given 8 cases, for which they have to express the relationship in words, sketch the graph and give the formula including constant of proportionality. The worksheet ends with students having to find the formula in 5 real-life examples of proportional relationships.

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 the questions on the worksheet. The lesson teaches pupils how to find a linear expression for a composite area, how to form an equation and how to solve the linear equation to find the unknown.

This resource is for KS4 students and follows on from ‘KS4 Algebraic Proof’. There are two lesson presentations and two accompanying worksheet/handout. In this resource, the idea of algebraic proof is extended to include any two numbers and not just consecutive numbers. This is in the lesson ‘3. Any Two Numbers KS4’ with the accompanying worksheet. Work done in this lesson is then used in ‘4. Sometimes Always Never KS4’ with its accompanying activity.

This resource is for advanced KS4 students. The resource consists of a lesson presentation that includes a starter and worked solutions to the structured questions on the worksheet and that worksheet. The lesson starts by teaching how to label a triangle and to identify whether or not the formula is applicable to finding the area of a particular triangle. The lesson proceeds to using the formula to find areas and then, given the area, to find missing angles. The lesson finishes with more complex problems that require the use of the formula.

This resource is for advanced KS4 students. It consists of a lesson presentation that includes a starter and worked solutions to the questions on the accompanying worksheet. Knowledge of Bearings, Sine Rule and Cosine Rule is assumed. The lesson teaches how to solve problems that require the application of the Sine and Cosine Rules. In particular, the focus is on Bearings problems that require application of one or other of the Rules. There is a problem involving a triangle whose sides are given as algebraic expressions and a problem where the three sides of the triangle are all tangents to a circle.

The resource is for core and advanced KS4 students. The resource consists of a lesson presentation and a structured worksheet. The lesson presentation includes a starter and worked solutions to all the questions on the worksheet. The lesson starts with a revision of converting currencies and units. The lesson then explains in detail how to answer a question asking the student to find best value when prices are given in different currencies and different units. The structured worksheet starts with questions that require just one conversion, proceeds to GCSE Higher standard questions requiring two conversions and then to more complex questions where prices are for amounts other than 1 unit (e.g. half a kilo, 430 ml).

This lesson is for advanced KS4 students. The resource consists of a lesson presentation and worksheet of 12 questions. The lesson presentation includes a starter and worked solutions to all the questions on the worksheet. The lesson starts with revision of finding the area and circumference of a circle. An example is given showing how to calculate the number of revolutions of the wheels of a bicycle as it travels a specified distance. The worksheet includes a number of similar questions involving wheels and cogs, a question involving a satellite in orbit and a number of questions involving athletics tracks, javelin pit and cricket fields.

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. It consists of a lesson presentation and worksheet. The lesson presentation includes a starter and worked solutions to all the questions on the worksheet. The lesson starts with revision of converting metric units for area and volume. The first half of the lesson consists of converting a compound quantity from one compound unit to another. There is an exercise of varied questions for students to do. The second half of the lesson looks at calculating the overall compound quantity for two parts, for instance the average speed for a two-stage journey or the density of bronze from the densities of tin and copper. There is again an exercise with a varied selection of questions.

This resource is for strong KS3 students and for KS4 students. The resource consists of a lesson presentation and worksheet. Lengths and angles are given as algebraic expressions. A property of the shape such as area or perimeter is given allowing formation of an equation, which can be solved to find the value of the unknown. I previously downloaded the worksheet as a free download, so this lesson is also free. Thanks and best wishes to whoever originally uploaded the worksheet.