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 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 core and advanced ability KS4 students. The resource consists of a lesson presentation and worksheet. The lesson presentation includes a starter and worked solutions to the questions on the worksheet. The lesson starts by considering scale drawings to be similar shapes whose lengths are measured in different units. The lesson then proceeds on how to construct a scale drawing with angles given as bearings, before considering how to measure and interpret the lengths and angles measured off the diagram. The worksheet starts with two simpler questions, then two questions with accompanying diagrams before finishing with several questions where the student is expected to interpret the text in order to draw the scale diagram. Teachers may wish to limit core ability students to the first four questions, leaving the others as extension. Advanced students will be challenged by the expectation that they translate text into a diagrams.

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.

This resource is a short piece of work (less than a full lesson) for KS4 students. Knowledge of Pythagoras’ Theorem to find missing lengths of right-angled triangles is assumed. The resource uses the Theorem to show whether a triangle whose three lengths are given is right-angled or not.

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. 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.

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 high achieving 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 new specifications suggest that students will increasingly be tested on finding the area under a real-life graph and the gradient of a real-life graph. The types of graph could be horizontal, a straight line with a gradient positive or negative, a series of straight lines or a curve. Each of these possibilities is considered. The lesson starts by looking at the relationship between distance-time, velocity-time and acceleration-time graphs. However, there are examples and many questions whose context is in the fields of biology, chemistry and physics: osmosis, electrolysis, diodes etc. .

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 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 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 advanced 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 lesson starts with a revision of the surface area for spheres, cylinders and cones. Students are then extended to learn how to find the surface area of shapes such as hemispheres, frustums and composite 3D shapes.

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. 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 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 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 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).

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).