This resource is for advanced KS4 students. It includes a lesson presentation and worksheet. The lesson presentation includes a starter (expanding the square of an algebraic expression) and worked solutions to the questions on the worksheet. The lesson is in two parts. Firstly, students learn how to take a quadratic expression and complete the square. In the second part, they learn how to apply the technique to solving quadratic equations.

This resource is for KS4 students taking the Higher paper. It teaches students how to find the constant of proportionality and to use the full equation when one quantity is proportional to two others. The lesson is in two parts and may be taught as two lessons. In the first part, students look at relationships when one quantity is directly proportional to two other quantities. This includes the ‘two painters take 5 days to paint 4 houses. …’ type of question as well as more contextual questions. In the second part, more complex relationships are considered where one relationship is inversely proportional and where one or both relationships involve proportionality to the square or square root. There are two matching exercises to help the students develop their understanding, one for each part of the lesson (see above). There is also a worksheet consisting of 5 questions for each of the two parts of the lesson. The lesson presentation includes examples and solutions to the questions on the worksheet.

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.

This resource is for KS4 students, who have already covered boxplots, pie charts, quartiles, mode and median and analysing frequency tables to find them. The resource is labeled as an ‘activity’, but would cover most of a lesson. There is a lengthy introduction revising frequency tables, boxplots, pie charts and how to extract quartiles, modes and medians from them. Students are also prepared for comparing two of the same sort of chart or table. Use of whiteboards at this stage is possible. Students are then asked to match each Frequency Table to the corresponding Analysis Table, Pie Chart and Boxplot. To do this, students need to complete the Frequency Tables by calculating the Cumulative Frequencies. After matching the tables and diagrams, students are expected to complete each Analysis Table by finding the Modal Class, Shortest Height, Tallest Height and Range of Heights.

This resource is targeted at low ability KS4 students, who struggle with Pythagoras’ Theorem. They are led through the Theorem in a structured manner, with the learning objective being that they can find both the hypotenuse and one of the shorter sides. The resource consists of a lesson presentation and the structured worksheet.

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 teaches KS3 students to use algebraic terms and expressions to represent the area of rectangles, squares and compound shapes. In doing so, they learn how to expand brackets and factorize algebraic expressions. After an introduction, there are many examples offering ample scope for the use of whiteboards. There is then a matching exercise where students have to match shapes with expressions for their areas. There is an extended plenary where students are asked to expand single brackets and factorize linear terms, multiply two terms in the same variable and to factorize a term in n-squared, expanding two brackets and factorizing a quadratic square.

This resource is for KS4 students. Knowledge of the equations of motion is not expected. The resource consists of a presentation and worksheet. The presentation has a starter that differentiates between average acceleration and instantaneous acceleration. Students learn how to use the formula for the displacement of an object to analyze its motion and to find the instantaneous speed from a non-linear displacement-time graph.

This resource is for KS3 students and continues from topics covered in my free download entitled ‘Introduction to Algebraic Terms and Expressions using Area’. The areas of rectangles and compound shapes are used to introduce the idea of algebraic terms and expressions - but this time involving two variables. After an introduction, there are plenty of examples for whiteboard use. There is then a matching exercise, where students have to match algebraic expressions to the shapes whose areas the expressions represent. In an extended plenary, pupils are asked to multiply and factorize algebraic expressions in one variable, multiply and factorize terms in two variables and finally expand two brackets with different variables and factorize expressions involving terms in two variables.

A battleship type of activity involving paintballing that asks KS3 pupils to test their skill at using positive and negative coordinates. Preferable perhaps to a teacher not wishing to endorse warfare.

This a resource to give KS4 students practice of how to find the radius of a curved side. It as an activity to do before finding the perimeter and area of compound shapes with curved sides. There is a worksheet and the presentation gives the answers.

A battleship type of activity involving paintballing that asks KS3 pupils to test their skill at using positive coordinates. (There is another free resource for negative and positive coordinates). Preferable perhaps to a teacher not wishing to endorse warfare.

The resource is for advanced KS4 students. It is assumed that students know how to find the constant of proportionality, though is revised in the starter. The resource consists of a lesson presentation and a worksheet. The lesson presentation includes a starter, two real-life examples of combining proportional relationships and an example of answering a GCSE style question requiring two such relationships to be combined. Worked solutions to the worksheet are also given. The 6 questions on the worksheet become increasingly more difficult.

This resource is for KS4 students taking the Higher paper. There is a worksheet of 14 contextual questions and the presentation gives worked solutions to these problems. None of the problems require the use of the sine or cosine rules, just the application of trigonometry in right-angled triangles. The questions are of the type now being set in the new specification GCSE, where students are expected to apply trig in context. The questions include angles of elevation and depression, trig with bearings and the two right-angled triangles type of question where trig has to be applied twice to find the unknown.

This resource is for KS4 pupils taking the Higher paper. The objective of the resource is to help pupils tackle 3D problems where they need to apply Pythagoras’ Theorem, trigonometry in right-angled triangles and the cosine rule. The presentation has a starter, two examples and worked solutions to the 6 questions on the worksheet. The shapes covered are cuboids, pyramids, cylinders and wedges. (There is another resource available which does not require the application of cosine rule in similar problems).

The resource is for KS4 students. It consists of a lesson presentation and a worksheet. The example and questions involve using the sum of angles for a shape to form an equation, then to solve the angle, to substitute the solution into the expressions for angles and to then draw a conclusion from the angles of the shape.

This resource is for KS4 pupils taking the Higher paper. The objective of the resource is to help pupils tackle 3D problems where they need to apply Pythagoras’ Theorem and trigonometry in right-angled triangles. The presentation has a starter, an example and worked solutions to the 4 questions on the worksheet. The shapes covered are cuboids, pyramids, cylinders and wedges. (There is another resource available which requires the application of the sine and cosine rules in similar problems).

This resource consists of a short lesson plus two full lessons. Between the three lessons, all the types of harder questions involving indices are covered. For each lesson, there is a presentation and worksheet. The presentations include starters, examples and worked solutions to the questions on the worksheets. ‘Writing number as power of another’ covers two types of questions: (a) writing one number as a power of another and (b) finding the base which when raised to a given index equals a given value. ‘Solving Equations by Equating Indices’ looks at questions where the unknown is part of the indices. The lesson is structured to cover (a) equations where all the bases arrre the same, (b) the bases are all integer powers of one of them and © where the bases are not integer powers of any of them. ‘Simultaneous Equations with Powers’ looks at questions where (a) the two unknowns are in the indices of the two simultaneous equations and (b) the two unknown are the bases.

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 lesson is for KS4 students and teaches them to tackle problems involving rate of flow of a liquid, the volume of a liquid and time. The topic follows the model used to teach density and speed. The resource consists of a lesson presentation and worksheet. The lesson presentation consists of a starter, examples and worked solutions to all the questions on the worksheet. There are three exercises in the lesson with examples before each. The first exercise requires students to find the rate of flow, the second volume or time and the third exercise has more difficult contextual questions.