This resource is for KS4 students. It extends work done on the same subject in KS3 by focusing on calculating the gradient to find speed and also using speed to construct distance-time graphs. There is a matching activity to help learning. The whole lesson presentation includes a starter which revises speed, time and distance traveled, examples and worked solutions to the questions on the worksheet.

This resource is for KS4 students taking the Higher paper. There is a lesson presentation that includes starters, examples and worked solutions. There are two matching exercises and the worksheet. There are two main parts to the lesson. The first is finding acceleration from the gradient. The starter revises the relationship between acceleration, speed and time and there is a matching exercise. The second part is finding the distance traveled from the area under the graph. There is a matching exercise for learning this. How to find both acceleration and distance from a curved graph is covered. There is a finally a differentiated worksheet.

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.

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 KS3 students and shows them the connections between words, algebraic expressions and function machines. The lessons starts with a large number of examples allowing pupils to work on white boards. There is then a matching exercise. Pupils are then shown how to substitute values into algebraic expressions and how to enter inputs into function machines. The aim is that they see how both are essentially the same process. There are a large number of examples allowing for white board work. Pupils are then given a worksheet where they find the outputs for given function machines and inputs. The extension asks students to find inputs for given outputs with a hint at inverse function machines.

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.

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 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 aimed at helping students answer a new style of GCSE question, where the initial ratio of a mixture (typically a drink) is given, a fraction of the total amount is removed and/or an amount is added and students then have to find a ratio, fraction or percentage from the final situation. The resource is for KS4 students taking the Higher paper. The resource consists of a lesson presentation with two examples. Students are then given three similar problems to answer and the worked solutions to these are included.

This resource is for KS4 students. It consists of a lesson presentation, including starter, examples and worked solutions, and a worksheet including extension questions. The lesson intends to help students answer GCSE questions where they are asked to give the proportion of a larger shape that is shaded. They are shown that the proportion is a fraction equal to the shaded area divided by the larger area. Examples are given and then students answer questions on a structured worksheet. Initially the questions involve normal shapes whose areas are given by formulae but they become harder requiring students to be more enterprising in order to find the areas.

This resource is aimed at KS4 students working towards the Foundation paper. The resource consists of a lesson presentation and a worksheet. The lesson presentation includes examples and worked solutions to all questions on the worksheet. The lesson is in two parts. firstly, students learn to divide to find the amount per item. In the second part, students learn to divide and then multiply to find amounts for a specified number of items.

This resource is aimed at helping students answer three new types of ratio problems seen on GCSE papers. The first type of problem is where an amount has to be shared according to a ratio, the parts of the ratio are then changed and a new ratio formed and simplified. The second type of problem is where two ratios need to be combined to form one ratio. The third type of problem is where one part of a ratio is then expressed in terms of a second ratio and the two ratios have to be combined. The resource is therefore aimed at advanced KS4 students. The resource consists of a lesson presentation and a worksheet. The lesson presentation includes a starter, examples of all three types of question and worked solutions to all the questions on the worksheet.

This resource is for advanced KS4 students. The lesson consists of a lesson presentation and a worksheet. The lesson presentation includes a starter and worked solutions. The purpose of this lesson is for students to learn to identify not just whether a relationship is direct or inverse but the exact power of the relationship. (There is a simpler lesson entitled ‘Direct and Inverse Proportionality’ in which students focus on whether a relationship is inverse or direct). Students are shown how to do this and are then given 8 cases, for which they have to express the relationship in words, sketch the graph and give the formula including constant of proportionality. The worksheet ends with students having to find the formula in 5 real-life examples of proportional relationships.

This resource is for KS4 students. It consists of a lesson presentation and worksheet. The lesson presentation includes a starter and worked solutions to the worksheet. The purpose of the lesson is to give students an understanding of directly and inversely proportional relationships and an understanding of the difference between them. (The lesson does not consider relationships where y is directly or inversely proportional to a power of x). The lesson starts with an example of both types of relationship and also a relationship that is neither. The students learn how to identify the type of relationship or absence of either from the corresponding values for the variables. The worksheet asks the students to do this for 8 different cases, before posing several real-life situations and asking the students to identify the type of proportionality.

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.

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.

The 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 starter involves solving equations where the unknown is a power of a number. The general form for the equation of the graph is introduced and an example given showing how the equation can be found from the coordinates of two points. The worksheet starts with similar questions including where the base is a fraction. There are other questions where the student has to complete the coordinates of a third point. The final question asks students to match graph and equation.

This resource is for KS4 students. It consists of a lesson presentation and worksheet. The lesson presentation includes a starter and worked solutions to the questions. The starter asks students to number the possible outcomes from two events. The idea of using a table to represent the sample space is then introduced as is the ability to extract probabilities from the table. The first question on the worksheet is structured to lead students through the process. Subsequent questions are unstructured.