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Teacher notes on an investigation on areas of triangles, also covering topics such as simplifying surds, Pythagoras’ Theorem, congruency and algebraic formulae. The problem the students must solve is ‘When the perimeter of a triangle is 20 cm and it is an isosceles triangle, how many possible triangles can there be?’. Students find this out through working out the area of each possible triangle and seeing a pattern. An extension is also included in this resource which gets pupils to work out the total possible number of any triangle (not just isosceles) with a perimeter of 20 cm. Students then work to find a link between the base length of the triangle and the number of possible triangles which can be drawn with that base length. A worksheet is included for each activity as well as notes and guidance on how to conduct the investigation with pupils.

This investigation is an effective way of introducing triangular numbers for those in KS3 and gets students to explore the sequence of triangular numbers through shapes and their properties. Pupils could build the triangular numbers using mutli-link cubes or something similar and gives students a visual representation of them. Others topics touched by this resource are formulae, properties of number and volume of 3-D shapes.

This resource gets students to investigate how to find a formula for the triangular numbers through the investigating the number of football teams play each other in a round robin. This resource is suitable for GCSE students and more able KS3 students. Students are then guided through an investigation to see a step-by-step derivation for the algebraic nth term for the sequence of triangular numbers. This would be an excellent way of introducing how to find the nth term of quadratic sequences as pupils will be familiar with the triangular numbers sequence.

A Powerpoint for KS3 and GCSE Foundation Students which helps them to recognise and draw nets of 3-D shapes (including Cubes, Cuboids and Triangular Based Prisms). There is sufficient material in the Powerpoint to cover a whole lesson. This could be used as the lesson before teaching students how to work out the surface area of 3-D shapes. In this resource, the pupils are taught how to recognise 3-D shapes before being scaffolded through how to draw them with worked examples of how to draw cuboids and cubes. There are questions for students to complete. The Powerpoint is quite interactive and there is also a strong cross-curricular link with Literacy.

This is a Powerpoint teaching students how to find the interior and exterior angles of a polygon. It is equally suitable for KS3 and GCSE Foundation Maths students. There is sufficient material in the Powerpoint for at least 1 lesson, possibly 2 depending on how fast your class covers the content. The powerpoint shows pupils how to work out the interior and exterior angles of a polygon, firstly by providing them with key terms to learn, then by allowing them to investigate the link between the sum of the interior angles in a shape and the number of sides it has, before linking that to the exterior angle of a polygon. Other topics covered by this Powerpoint include: properties of shape, angle laws, generalising and substitution.

This excellent Powerpoint contains a whole lesson for pupils on finding the area and perimeter of 2-D shapes such as squares, rectangles and triangles. It also contains plenty of questions for pupils to attempt including standard, skill-based questions and extension questions which challenge the students to think laterally. Equally suitable for KS3 and GCSE Maths Foundation Groups.

This resource is aimed as an extension activity for higher ability learners as it asks questions in a worded form on Circumference and Area. Useful as an extension, plenary or to consolidate learning of pupils.

A Powerpoint which can be used as a whole lesson to teach pupils about sample space diagrams. Although intended for KS3 pupils, the content of the resource is also applicable for GCSE foundation students. The powerpoint is very interactive and allows students to get involved at every opportunity, with a strong link to literacy as students are prompted to learn the definition of key words.

A comprehensive Powerpoint for a whole lesson on constructing and solving linear equations for KS3 and GCSE foundation groups. Depending on the ability of the class, there is enough material on the Powerpoint for a couple of lessons if pupils need to be taken through the content more gradually. In the Powerpoint, pupils are introduced to the meaning of key words such as co-efficient, linear and equation, shown how to solve equations using the balance method and also how to construct and solve a linear equation when given information. There are plenty of worked examples and questions for pupils to attempt.

This resource handily introduces compound interest to more able KS3 groups and GCSE in the form of adding interest to a bank account. Other topics covered include percentages and decimal multipliers. This resource is an investigation (with teacher notes and accompanying worksheets) which gets students to investigate whether how often interest is added to a bank account effects the total amount of interest. The problem is so: I invest £1,000 in a savings account at an interest rate of 3.1% p.a. for one year. What interval at which the interest is paid will get me the most money? The students can then be guided to calculating the total amount of interest when it is added, daily montly etc. before being guided to an overall formula to solve the problem.

An extremely useful set of KS3 starters on Probability and Handling Data. Topics covered include: basic probability, probability of an event, mean, median, mode and range, averages from a table and Pictograms. These are excellent to begin a lesson with or to check prior knowledge of a topic or as plenaries.

A Powerpoint for KS3 Maths pupils covering a full lesson or lessons on scatter graphs and correlation. Types of correlation (positive and negative), drawing scattergraphs and plotting and interpreting lines of best fit are all included within this resource as well as questions and extension activities. Could be used as a whole lesson to teach the topic to pupils or as a revision activity.

A Powerpoint including a full lesson or lessons covering Relative Frequency for KS3/GCSE Foundation Maths. The Powerpoint includes definitions of Relative Frequency and Theoretical Probabilities and guided examples of how to calculate them both. It also has questions on Relative Frequency including exam practice. Could be used as a full lesson or as part of a revision activity for pupils.

A worksheet which includes 10 questions each on percentage increase and decrease. This resource is mainly suitable for KS3 students, although it may also benefit GCSE Foundation students. As well as increasing or decreasing a number by a certain percentage, worded questions involving VAT are also included. This resource has multiple applications: it could be useful as a check of the prior knowledge of students or to check their understanding of what has been taught as a summative test or included as the main activity within a lesson.

A really useful resource which is tests KS3 pupils on their understanding of mode, median, mean and range. This could also be used as a summative test of pupils’ knowledge or as a homework/revision task and is suitable for GCSE foundation students as well.

A Powerpoint on writing equations and formulae for KS3 and GCSE Foundation Maths Students. The Powerpoint contains enough material for a whole lesson. As well as showing pupils how to write expressions and formulae, this Powerpoint also covers how to substitute numbers into formulae, with real-life worked examples provided. Plenty of questions are included for pupils to attempt with an extension of solving equations to test more able pupils.

An excellent and extensive Powerpoint which teaches students how to draw and interpret Pie Charts given a set of data. The Powerpoint also teaches the importance of pie charts in a real life context and encourages discussions. There are solid links with ratio, fractions and proportion. The Powerpoint also includes plenty of questions for students to attempt, including extension activities for more able students.

A handy set of starters to do with topics involved in KS3 Geometry: angles, volume of 3-D shapes, constructing angles, transformations, properties of shapes and angle laws. These are excellent to start a lesson off, as ‘settlers’ to get students on task and also to test prior knowledge of a topic.

A comprehensive set of GCSE (foundation and higher) exam questions on relative frequency. Other topics covered include basic probability and scatter graphs. These could be used in a lesson or revision sessions and are also useful for students to take home and practice by themselves.

An excellent revision resource, this is a powerpoint of a set of exam questions on Quadratic Equations for GCSE Higher students. Topics covered include factorising, solving quadratic equations, the quadratic formula, completing the square, trial and improvement and algebraic fractions. All answers are included in the Powerpoint.