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 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’.

The resource consists of a lesson presentation and worksheet. This lesson is the fourth and final in the series on Upper and Lower Bounds. In this lesson, students learn how to find the degree of accuracy to which a measurement can be given. Again the concept is explained through 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 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. 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 perimeter of a semi-circle and a quarter-circle. Students then find the perimeter of more complex shapes by identifying separate sides, finding the length of each side curved or straight and adding the lengths to find the perimeter of shapes with curved sides. Worked solutions to the worksheet are included.

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 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 LESSON REQUIRES 1 SMALL CEREAL PACKET PER PAIR OF PUPILS COSTING AROUND £3 FOR 8 PACKETS. This resource is for KS3 students and for KS4 students planning to take the Foundation 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. The lesson starts with students measuring the dimensions of the small cereal packet. They then cut open the packets and measure the dimensions of the resulting net and its six faces. Students move on to finding the surface area of a cuboid from a drawing and finally from the dimensions alone.

This resource is for KS4 students. The resource consists of a lesson presentation and a worksheet. Worked solutions to the worksheet are included in the worksheet. I teach this lesson before teaching circle theorems. It teaches students to look at the diagrams more closely and identify particular arcs, radii, sectors, segments, reflex and non-reflex angles.

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.

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 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 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 for advanced KS4 students. The resource consists of a lesson presentation and a worksheet. The lesson includes a starter (expanding the square of an algebraic expression where the coefficient of x is not 1), examples and worked solutions to the question son the worksheet. The lesson is in two parts: completing the square when the coefficient of the x squared term is not 1 and using this technique to solve quadratic equations where the coefficient of the x squared term is not 1.

This resource is for KS4 students. It consists of a lesson presentation and worksheet. The lesson introduces rate of flow, exchange rate, population density and pressure - all of which are found by dividing one quantity by another. The lesson proceeds onto questions on proportion where the compound quantity is or is assumed to be the same.

This resource is for strong KS3 and any KS4 student that needs to work on units. The lesson consists of a lesson presentation and a worksheet. The lesson presentation has examples and worked solutions to the questions on the worksheet. The lesson teaches students to compare measurements when the measurements are given in different units. Students learn how to compare measurements in different metric units, when one is in metric units and the other in imperial units, when time is given in different units and when comparing compound units.