The resource is for KS4 students and consists of a lesson presentation and worksheet. The lesson presentation includes two examples and then worked solutions to the 6 questions on the worksheet, which include finding implied interest rates, finding square roots using the Babylonian formula, an iteration that generates a sequence and solving equations involving geometry.

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.

The resource is for advanced KS4 students. It consists of a lesson presentation and a worksheet. The presentation includes a starter and worked solutions to the contextual questions on the worksheet. The lesson starts by explaining the general form for the position-to-term rule for a geometric sequence. Students then learn (i) to generate geometric sequences from the rule, (ii) to find the rule for a geometric sequence and (iii) to find missing terms. There is an exercise for each of these three parts. The final part of the lesson consists of an example and five contextual questions for the students to do, all involving geometric sequences.

The resource is for KS4 students. This resource is a course in functions, consisting of lesson presentations for 5 lessons and a worksheet to print out for the fifth lesson. The lessons are ordered from 1 to 5. The revision of building function machines is an optional start to lesson 5. The lessons are: an introduction to functions; combining functions; finding the single function equivalent to two functions; solving equations involving functions; and inverse functions.

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 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 activity is designed to teach KS3 students the difference between perimeter and area. (Centimetre squared paper is required). The first activity is to find rectangles with the same area but different perimeters. The second activity requires students to find the perimeter and area of a number of composite shapes. Through doing so they should gain an appreciation of the type of shapes that have high perimeter and low area and the types of shapes that have low perimeter and high area.

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.

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 taking the Higher paper. It consists of a presentation for the whole lesson and a worksheet. The presentation includes a starter, examples for work with white boards and solutions to the questions on the worksheet. The lesson is in two parts. Part one looks at how the perimeters of similar 2D shapes are scaled up or down by the scale factor and how the areas of similar 2D shapes are scaled up or down by the square of the scale factor. Part two looks at how the surface areas of similar 3D shapes are scaled up or down by the square of the scale factor and how the volumes of similar 3D shapes are scaled up or down by the cube of the scale factor.

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.

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 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 for KS3 students and shows them how to create equations from statements starting with ‘I think of a number. …’ The lesson starts with writing algebraic expressions. There are numerous examples for white board work. There is then a matching exercise. The lesson then proceeds to creating equations. Two examples are given of creating and solving equations. There are then two sets of 3 equations and descriptions to be matched as a class exercise. A second matching exercise then consolidates understanding. Students are then given a worksheet with 8 questions. They are asked to create the equation for each question. The extension is to solve the equations.