This is an investigation (including teacher notes and worksheets) which is suitable for GCSE maths students, though higher ability KS3 students should be able to complete it. The problem students have to answer is ‘Can you find a formula to find out the total possible number of half-time scores if you know the full-time score of a football match?’ Probability is the main topic covered (listing outcomes, formula for total number of outcomes) as well as algebra topics such as expanding brackets, sequences, factorising and generalising formulae. Pupils can probably work on this independently with some teacher input in setting up the investigation and prompting pupils.

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 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.

This is a short maths test aimed at pupils in KS3. It could be used as a baseline assessment to determine their level at the start of a year as it covers the majority of the basic skills- working out the area and perimeter of a shape, ordering decimals, simplifying fractions and so forth needed to succeed at Mathematics.

A useful revision aid on all the 2-D shapes whom students will encounter in the KS3/GCSE Mathematics curriculum, with notes on their properties and different types of shapes. Also includes a section on polygons for higher ability learners.

A handy glossary of terms (separated by each of the 4 strands of Mathematics: Number, Shape, Handling Data and Algebra) which will be very useful for pupils for revision purposes and act as a reminder for when they forget the meaning of key terminology. Suitable for both KS3 students or those studying foundation at KS4. Links excellently with Literacy and promotes the use of this within Mathematics.

A handy resource with 3 separate diagrams of circles showing each part clearly labelled as well as diagrams of basic 2-D shapes and their area formulae. Although mainly suitable for students at KS3 Maths, this resource would also specifically those pupils in KS4 studying Foundation. It is especially useful for those pupils who struggle to retain information and acts as a handy prompt to remember key formulae.

A simple resource demonstrating how to calculate the area and circumference of a circle with worked examples clearly illustrating the methods behind answering the question. At the beginning of the resource, children are reminded of the precise definitions of Circumference, Diameter and Radius. Students can use this resource to help them with working out the area and circumference of a circle and and also for revision too. Primarily this resource should be aimed at those pupils in KS3 Maths, though older pupils may benefit from this as a refresher of some basic skills.

A teaching sheet on ratio which defines what ratio is and provides worked examples of cancelling down ratios, representing them in the form 1:n and n:1 and answering questions which require the student to share a quantity (money, number of sweets etc.) between people in a given ratio. This teaching sheet is very accessible and presented in a simple, consistent easy-to-understand manner. Methods to answer each question are structured very clearly and are explained. It could be used to introduce a topic of ratios or provide worked examples to assist students in tackling questions on the topic. It will be of general use to students in Years 8-10 but may also assist Year 11 students who are aiming for a grade 5 in Mathematics.