GCSE Maths Foundation Revision Pack

GCSE Maths Foundation Revision Pack

This bundle helps prepare students for their GCSE maths foundation exam. I attached all these resources together and provided them as a booklet to pupils. In this bundle is a glossary of all terms used on the course, a formula sheet to help pupils learn formulae, a short test on all the essential skills they need to know and a recent GCSE paper with model answers (including explanations) which they can use for revision. Also included are handy, concise revision materials on 2-D shapes and ratios, which are some of the essential skills students will need at GCSE.
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Model UCAS application Personal Statement

Model UCAS application Personal Statement

Ideal for sixth form students: this model personal statement (with accompanying commentary) is a sure-fire method of helping with an application to go to University. Could be used as part of a careers, citizenship or PSHE lesson or as a teaching tool in another subject.
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KS3 and KS4 Triangular Numbers Revision Sheet

KS3 and KS4 Triangular Numbers Revision Sheet

This is a great revision source for KS3 and KS4 pupils on triangular numbers. The resource includes a definition and explanation, patterns which can be found in the sequence, how to find the nth term of the sequence and worked examples of exam questions involving triangular numbers. Depending on the ability of the class, you may wish to differentiate; the opening part of the resource is suitable for less able learners whilst the later part of the resource should stretch more able students. Other topics linked with this resource include finding the nth term of quadratic sequences, generating sequences and properties of numbers.
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KS3 and KS4 Algebra Investigation

KS3 and KS4 Algebra Investigation

This is an interesting investigation which mainly covers the topics of rearranging formulae, expanding brackets and simplifying expressions. However, there are some links to ICT as the words input and output are introduced to students. The pupils are asked to think of a domino and using all the possible digits on the domino as input (if the numbers on the domino were 1 and 6: A=1 and B=6) into a given algorithm find an output. The pupils are then asked to find a formula which connects the input and output. This investigation is very logical and gets students to see patterns, but there is also a very logical, satisfying solution to the problem which is sequential and hopefully gets students to appreciate the rigor of mathematics.
samcurran1
KS4 Triangular Numbers Investigation

KS4 Triangular Numbers Investigation

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.
samcurran1
KS3 Triangular Numbers Investigation

KS3 Triangular Numbers Investigation

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
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Triangular Numbers Bundle

Triangular Numbers Bundle

A handy resource pack which includes 2 investigations on triangular numbers: 1 designed to introduce to pupils to the sequence (this resource links with properties of shape) and the other to help pupils understand the derivation of the formula for the nth term of the triangular numbers sequence (this resource links to finding the nth term of quadratic sequences, simplifying expressions and factorising). Also included is a revision sheet covering all the content of triangular numbers in the curriculum including the properties of the sequence, finding the nth term of it and worked examples of exam questions involving triangular numbers.
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KS3 Topic Revision Sheets Pack

KS3 Topic Revision Sheets Pack

A set of revision sheets (each including worked examples of exam questions) which can be used in lessons and for pupils to store for revision in the future. Topics covered are area and properties of 2-D shapes, Triangular Numbers, Area and Circumference of a Circle and simplifying and dividing ratios. The sheets are set out in the style of a textbook, but in a much more concise manner, not only reminding pupils of the key points of the topic, but also providing an explanation of the maths behind them. There are strong cross-curricular links with literacy, with pupils encouraged to learn mathematical terminology.
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KS3 Maths Revision Pack

KS3 Maths Revision Pack

This is a great value, extremely useful resource to help students with KS3 Maths revision. It contains a glossary of all mathematical terms on the syllabus to help students become familiar with terminology and boost literacy skills, a test on the essential skills they will use in KS3 Maths as well as a handy formulae sheet for areas of 2-D shapes and properties of a circle. The pack also includes teaching/revision sheets for pupils on finding the area and circumference of a circle, ratios (simplifying and dividing an amount into given quantities), 2-D shapes (including Polygons), Triangular Numbers (which covers the properties and finding the nth term of the sequence with worked examples of exam questions). The pack concludes with an investigation teachers can use to show pupils the origin of the triangular numbers sequence.
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GCSE Maths Starters Pack

GCSE Maths Starters Pack

This pack includes resources which are ideal to use at the start of lesson to get pupils engaged and motivated. In the pack is a simple addition starter which is great for group-working, a set of 8 thought-provoking probability starters (covering the topics of tree diagrams, sample space diagrams, probability scales, relative frequency and listing outcomes) to get students thinking in a different way and a set of questions which cover the essential skills pupils need at GCSE Maths: working with fractions, decimals and percentages, area and perimeter of 2-D shape and multiplication.
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KS4/KS5 maths convergence investigation

KS4/KS5 maths convergence investigation

This investigation (includes teacher notes and worksheets) is suited to very able KS4 groups and those in KS5 studying Maths. It covers the topics of convergence, subject of a formula and even can be expanded to iteration for more advanced learners. Pupils are given a starting value of a sequence, which they multiply by 3, add 10 to then and finally divide by 4 to generate the next term in the sequence. They then multiply this value by 3, add ten to it and divide by 4 to get the next term and so forth, generating the sequence in an iterative manner until the sequence converges. The goal of this investigation is to find a relationship between the initial starting value of the sequence and that which it converges to. This can be explained in a satisfying algebraic way using subject of the formula although pupils may offer other alternative explanations.
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KS3 and KS4  Compound Interest Bank Account interest investigation

KS3 and KS4 Compound Interest Bank Account interest investigation

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.
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KS2/KS3/GCSE Square Numbers Investigation

KS2/KS3/GCSE Square Numbers Investigation

An investigation (including teacher notes and worksheets) into the origins of square numbers which guides students to generate the square numbers sequence and observe the patterns within it. This investigation would be suitable for a wide variety of age groups including KS2, KS3 and GCSE. In terms of differentiation, earlier stages of the investigation (looking at the patterns in the square numbers) may be more suitable for lower ability learners whereas the latter stages of the investigation (finding the nth term of a quadratic sequence) should stretch higher ability students. Topics covered in this resource are mental arithmetic, properties of numbers, nth term (quadratic) and sequences.
samcurran1
GCSE Maths Foundation Revision Pack

GCSE Maths Foundation Revision Pack

This bundle helps prepare students for their GCSE maths foundation exam. I attached all these resources together and provided them as a booklet to pupils. In this bundle is a glossary of all terms used on the course, a formula sheet to help pupils learn formulae, a short test on all the essential skills they need to know and a recent GCSE paper with model answers (including explanations) which they can use for revision. Also included are handy, concise revision materials on 2-D shapes and ratios, which are some of the essential skills students will need at GCSE.
samcurran1
Football Scores Investigation (GCSE Probability)

Football Scores Investigation (GCSE Probability)

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.
samcurran1
GCSE higher Areas of Triangles Investigation

GCSE higher Areas of Triangles Investigation

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.
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Model answers for Edexcel GCSE foundation non-calculator maths exam paper (6th November 2012)

Model answers for Edexcel GCSE foundation non-calculator maths exam paper (6th November 2012)

This is a worked solution of a GCSE maths foundation paper: 6th November 2012 (Edexcel exam board). This is intended for revision purposes for pupils, allowing them to observe the methods used to work out the answers and gain a deeper understanding of the topic. They can use this resource as a reference point for attempting other papers. Each question is worked through methodically in a clear, concise manner with annotations explaining each step of the method.
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KS3 and GCSE Maths Addition Starter

KS3 and GCSE Maths Addition Starter

A short, snappy starter which refreshes pupil's mental arithmetic skills and provides a healthy mix of challenge and competition. This starter is suitable for all maths classes in secondary school and those in KS2. The task is this: Using digits from 1-9, make an addition with two 3 digit numbers to make another 3 digit number. Each digit from 1-9 can only be used once (carrying is allowed). . This could be done as a competition to encourage group work where pupils (in teams) are set a certain amount of time and must come up with as many different additions as they can. This starter is also useful for generating discussions as the pupils may notice certain patterns in the answers (i.e. the digits of the final answer always add up to 18) and the commutative law of addition (3 + 5 = 5 + 3).
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KS3 and GCSE Probability Starters

KS3 and GCSE Probability Starters

A selection of 8 starters on probability related to real life which are suitable for KS3 and GCSE students. The starters encourage students to think laterally, being similar to brainteasers. Topics covered include: experimental probability, listing outcomes, sample space diagrams, relative frequency, tree diagrams, probability scales and permutations/combinations. Each starter begins with a problem or statement which the children must decide is true or false through investigation, giving reasons why this is the case. This exercise would be perfect for encouraging discussions as students may present a wide variety of explanations.
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KS3/KS4 (Foundation) Glossary of Mathematical Terms

KS3/KS4 (Foundation) Glossary of Mathematical Terms

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.
samcurran1
2-D Shapes Formulae Sheet

2-D Shapes Formulae Sheet

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.
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