The lesson is aimed at low ability KS4 students, who struggle to construct or match a graph showing the depth of water against time as water flows at a steady rate into vessels of different shapes. The resource consists of a lesson presentation and a worksheet. The lesson presentation goes through the topic thoroughly. The worksheet gives a summary of the teaching, so that pupils don’t have to copy it down, and three questions. The lesson presentation also has a starter and worked solutions to the questions.

First few slides are a fun intro. Students are shown the method of dividing the numerator by the denominator to find the first fraction and then dividing the remainder(s) to find the other fractions. The lesson is split into two parts. after each example, there is an exercise consisting of 5 questions.

This resource is for KS3 students and has an extensive introduction to the topic, so that students understand how the graphs represent travel in one direction. To facilitate this, there are examples and a matching exercise. The two worksheets have been adapted from free worksheets that I downloaded thanks to other contributors to this website. If it was you who contributed them, thank you and I hope that I have done justice to your work. The answers to the worksheets are included in the presentation.

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 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.

The resource is for KS4 students and consists of a lesson presentation and a worksheet. The lesson shows how to generate a Fibonacci sequence and gives worked solutions to questions on the structured worksheet. The worksheet starts with generating a sequence and then proceeds to finding the initial terms from two consecutive terms in the sequence and finding the first two terms from two non-consecutive terms.

The resource is for KS4 students. It consists of a lesson presentation and a worksheet. There are two parts to the lesson: completing frequency trees and finding probabilities from completed frequency trees. Worked solutions to the questions on the worksheet are given in the lesson presentation.

This resource is for strong KS3 students and for KS4 students. The resource consists of a lesson presentation and worksheet. Lengths and angles are given as algebraic expressions. A property of the shape such as area or perimeter is given allowing formation of an equation, which can be solved to find the value of the unknown. I previously downloaded the worksheet as a free download, so this lesson is also free. Thanks and best wishes to whoever originally uploaded the worksheet.

This resource is for KS3 students who have studied pictograms, bar charts and pie charts. While labeled as an ‘activity’, it will cover most of a lesson. There are two parts to the resource - the handout to be given to the students and the presentation that covers the activity. The presentation includes an introduction that shows how pictograms, bar charts and pie charts are connected and also shows students how to compare two of the same sort of chart. Students than have to match 12 pictograms to 12 bar charts and 12 pie charts. One of each is missing and students have to draw the missing charts. Other charts are incomplete and students have to complete them.

This resource is for KS4 students who have studied boxplots, histograms and cumulative frequency diagrams. The resource is labeled an ‘activity’, but it will cover most of a lesson. There are two parts to the resource: the presentation and the handout for the students. The introduction covers the connections between a cumulative frequency diagram and a boxplot and between a cumulative frequency diagram and a histogram. Students are then to match each cumulative frequency diagram to the corresponding boxplot and histogram, as well as choosing the description that best describes the distribution of marks. The extension is to find the mean exam mark for each distribution.

The lesson is aimed at KS4 students who are wondering what relevance different types of graph have. The learning objective is for students to see that these graphs do have real-life meaning and that this helps them differentiate between the different types of graph.

This resource is a short piece of work (less than a full lesson) for KS4 students. Knowledge of Pythagoras’ Theorem to find missing lengths of right-angled triangles is assumed. The resource uses the Theorem to show whether a triangle whose three lengths are given is right-angled or not.

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.

The resource is aimed at KS3 students, though it would be helpful as revision for low ability GCSE students. Students are given a number of triangles and have to identify whether the largest angle is acute, a right-angle or obtuse and whether the triangle has two or three equal sides. The students cut out the triangles and glue them into the correct part of a grid. This means that every student can have a record of his or her work. The activity ends with some questions as to why certain boxes in the grid must be left empty.

This resource is for advanced KS4 students. The resource consists of a lesson presentation and a worksheet. The lesson includes a starter (expanding the square of an algebraic expression where the coefficient of x is not 1), examples and worked solutions to the question son the worksheet. The lesson is in two parts: completing the square when the coefficient of the x squared term is not 1 and using this technique to solve quadratic equations where the coefficient of the x squared term is not 1.

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.

The lesson is aimed at KS4 students, who can plot a linear graph if expressed in the form y = mx + c, but who are slightly baffled by the graph being expressed in the form Ax + By = C.

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.

The resource is for KS3 students and KS4 students taking the Foundation paper. The resource consists of a lesson presentation and structured worksheet. The lesson presentation includes a starter and worked solutions to the worksheet. Students are led through the process of substituting into an algebraic expression, compiling a table and then taking the coordinates from the table to plot the linear graph. This lesson helps students understand that the (x, y) coordinates of a point are written horizontally but are typically compiled vertically in a table.

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.