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 consists of a lesson presentation and a worksheet. The lesson presentation includes worked solutions to the questions on the worksheet. Students learn to tackle functional problems involving dividing one area by another. The contexts include finding the number and cost of tiles and the amount and cost of paint.

This resource is for KS4 students. The resource consists of a lesson presentation and a worksheet. The lesson presentation includes worked solutions to the questions on the worksheet. Students learn to separate composite shapes into shapes, for which there are formulae. Students then calculate the area of each part and sum to find the total area. The lesson starts with finding the area of shapes that can be separated into two rectangles. It then continues with composite shapes involving other shapes.

This resource is for KS4 students taking the Higher paper. 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. Students learn how to convert recurring decimals into fractions. They are taught to focus on the length of the recurring pattern to decide what multiple of x to use. As an extension, students are asked to investigate the condition for a fraction to convert into a non-recurring decimal.

This resource is for KS4 students looking for a 7-9 grade. 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 find where the quadratic graph cuts the axes, the line of symmetry of the graph and the coordinates of the turning point. Students learn to then sketch the graph.

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 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 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 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 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 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 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.

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 resource is for KS4 students. It follows on from ‘Listing Outcomes’. It consists of a lesson presentation and a worksheet. The lesson presentation includes a starter, examples and worked solutions to all questions on the worksheet. This lesson teaches KS4 students to list possible outcomes and to learn when to add probabilities and when to multiply the number of probabilities. The first questions on the worksheet are traditional spinner and dice type questions. The later questions are real-life situations.

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 a surface area, calculating the number of items required and the cost of purchasing these items. The resource consists of a lesson presentation and a worksheet. 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 surface area and then cost, before tackling the harder three-stage questions.

This lesson teaches students to tackle problems involving measuring a perimeter, calculating the number of items required and the cost of purchasing these items. The lesson includes examples and fully worked solutions for the questions on the worksheet.

This resource 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. The starter is revision of completing two-way tables. Students then learn to find probabilities from two-way tables. They then learn how to construct two-way tables from text and then to find probabilities.

This resource is for KS4 students. It consists of a lesson presentation and a worksheet. The lesson presentation consists of a starter and worked solutions to all the questions on the worksheet. The starter involves finding the area of a semi-circle and a quarter-circle. Students then find the area of more complex shapes by separating composite shapes into shapes with known formulae for their area or by subtracting the area of one shape from another.

This lesson is for KS4 students. Finding percentages and fractions of amounts are revised and then used to find the total costs of packages after fractional and percentage discounts have been subtracted. Worked solutions to the worksheet are included.

The resource is for KS4 students. The resource consists of a lesson presentation and a worksheet. The lesson presentation includes examples and worked solutions to all the questions on the worksheet. The functional problems involving volume include stacking smaller boxes in a larger box, finding into which category packages fall and evaluating cost.