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 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.

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.

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.

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.

This resource is designed for students attempting the Higher GCSE paper. Its aim is to equip these students to tackle questions involving two-stage journeys and unit mismatches, features that are likely to feature in future exam questions, as the examiners attempt to add complexity to questions involving speed. The resource consists of a cover slide, a lesson presentation and a worksheet. The lesson presentation includes a starter, a worked example and solutions to all ten questions on the worksheet. The starter revises converting between different units of time and distance. The questions on the worksheet start simply with a question where students have to add to find total distance and total time before dividing to find the speed. Complexity is added by getting students to find the distance and time in one of the stages and by introducing unit mismatches including getting students to express minutes as fractions or decimals of an hour. There are also a couple of questions involving using ratio and percentages to analyse the results.

This resource is designed for KS4 students attempting the Higher paper. It consists of a cover slide, a worksheet of 10 questions and a whole lesson including starter, examples and worked solutions to all the questions. The resource aims to equip students to tackle problems involving the mixture of two liquids and requiring students to find the density of the mixture or, if given that quantity, other properties of the mixture or of the constituent parts. The principles that mass and volume are conserved are given and an example is solved. The worksheet is structured: 2 questions where the properties of the parts are given and students have to find the density of the mixture; 2 questions where students have to find a property of a part; 2 questions with unit mismatches; 2 questions involving solids composed of two materials; 2 questions where students are asked to use percentages and ratios.

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 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.