This lesson is for middle to high ability KS4 students. It teaches them how to use algebra to solve probability problems where there is an unknown. This could involve solving a linear equation or deriving a quadratic equation from a tree diagram and solving it. The resource consists of a lesson presentation and a worksheet. The lesson presentation includes a starter, an example and worked solutions to the questions on the worksheet.

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 high ability KS4 students. The resource consists of a lesson presentation and a worksheet. The lesson presentation includes a starter and worked solutions to all questions on the differentiated worksheet. The lesson teaches students to calculate the expected revenue and costs from games of chance such as ‘The Crown and Anchor’. They can then estimate the expected profit or loss.

The resource is for KS4 students. It consists of a lesson presentation, a worksheet which includes a matching exercise and a handout with the three trig graphs. The presentation includes a starter and worked solutions to the worksheet. The lesson starts with a revision of the trig graphs and transformations. Four examples of transformations of trig graphs are given before students complete a matching exercise. Students are then asked to do an exercise in finding maximum and minimum values, an exercise finding where axes are intersected and then to sketch some transformed graphs.

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 lesson looks at geometric proof 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 questions on the worksheet. The starter asks students to prove that the sum of angles in a triangle is 180 degrees and prove the size of the interior and exterior angles in a pentagon. The first part of the lesson involves an example and questions involving proving properties of a common shape. The second part of the lesson involves an example and questions involving properties of composite shapes.

This resource looks at geometric proof for KS3 students. The resource consists of a lesson presentation, a worksheet and a handout showing the conditions for congruent triangles. The lesson presentation includes a starter, examples and worked solutions to the questions on the differentiated worksheet. Questions include the angles in regular polygons, the angles between diagonals, using parallel lines and a line of symmetry.

This resource is for KS4 students working towards the Higher paper. It consists of a lesson presentation and worksheet. The lesson presentation includes a starter and worked solutions to the questions on the worksheet. The lesson is differentiated. It starts with using meter readings to find the amount of energy used and the cost of that energy. It then includes a standing charge and finally VAT on the total bill.

This resource is for KS4 students. 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 the number of outcomes and when to multiply the number of outcomes. There is an extension exercise where students consider real-life situations where order may or may not matter.

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 quadratic expression for a composite area, how to form an equation and how to solve the quadratic equation to find the unknown.

The resource is for KS4 students. It 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 introduces the concept of mutually exclusive events. Students are shown how to determine whether two events are mutually exclusive or not. The questions involve rolling dice, spinning spinners and choosing marbles. There is a question where the sum of probabilities for two events proves that they are not exclusive.

These two lessons are for capable KS3 students. Start with ‘1. Algebraic Proof Introduction’ and the accompanying handouts and then continue with ‘2. Algebraic Proof Multiples’ and its worksheet. Students are introduced to the idea of letting any number be n and to finding expressions for consecutive numbers, odd and even numbers. Students then find expressions for sums and products and finally learn how to prove that such an expression is a multiple of a specified number.

The resource is for KS4 students preparing for the Higher paper. The resource assumes that students know how to add and subtract surds, how to multiply and divide surds and how to simplify surds. A worksheet is included and the lesson presentation includes a starter, examples and worked solutions. The new specification GCSE Higher papers feature many questions where two or more topics are combined. This lesson prepares students for questions that combine knowledge of surds with the properties of shapes and using formulae. In the first half of the lesson, students learn how to find and simplify expressions involving surds for the perimeter and area of shapes. In the second half of the lesson, students learn how to find a missing length in surd form from the area or perimeter of the shape and other dimensions. In both cases the questions are structured to start with easier examples and to end with harder examples.

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 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 all KS4 students and teaches them how to tackle a common GCSE problem solving question. This lesson teaches students to tackle problems involving measuring an area, calculating the number of items such as tins or bags required and the cost of purchasing these items. The resource consists of a lesson presentation, a worksheet and a handout. 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 area and then cost, before tackling the harder three-stage questions. The handout (HO) is a copy of the examples covered in the lesson and can be printed out for students to save them having to copy off the board.

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. The resource consists of a lesson presentation and a worksheet. the presentation includes worked solutions to the questions on the worksheet. The lesson revises finding missing probabilities and takes students into the concept of exhaustive and non-exhaustive events.

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.

The resource is for advanced KS4 students. It consists of a lesson presentation and a worksheet. The lesson presentation includes a starter, the teaching part and worked solutions to all the questions on the worksheet. The starter is revision of completing the square. Students are then taught how to use the completed square to find the coordinates of the turning point for a quadratic whose coefficient of x squared is 1. There are 8 examples for the students to do themselves. There is an extension of 6 questions involving quadratics where the coefficient of the x squared is either more than 1 or negative.