Forming a Rhythm Band
This resource uses Cuisenaire® Rods to investigate how to make different sounds by putting the differently coloured rods into a can and shaking them. Children are then asked to create notes for the different coloured rods and use these to write and perform their own songs. Cuisenaire® Rods are a useful mathematical resource…
Changing Rod Stories to Number Sentences
This resource uses Cuisenaire® Rods to create addition stories. Select one rod and the two rods that when positioned side by side are the same length as the original. Then use the white rods which represent 1 to convert the rod story into an addition sentence. Included are teachers' notes and a worksheet to practise converting…
Interpreting One-colour Trains as Fractional Parts
In this resource children are asked to build all of the possible one-colour trains to match the purple rod. Fitting them underneath they then resemble a fraction wall where children can describe the fractional parts of the whole purple rod. They then investigate the other coloured rods and their fractional parts, for example halves…
Recording Subtraction Stories
In this resource, children are asked to create subtractions using different coloured rods and interpret and solve subtraction sentences. Following this they form all of the possible addition and subtraction sentences for three given rods. This activity is a way of introducing or reinforcing subtraction using a concrete, visual representation.…
Colouring All the Trains
In this resource, children are asked to investigate the number of possible trains they can make for a given colour of rod. They then record this information and see if they can find any patterns. It helps develop the skills of logical thinking, looking for patterns and the systematic recording of results. It could be used as a whole…
Nuffield Maths 2: Worksheets and Copymasters
This resource, from Nuffield Foundation, is a collection of worksheets from the Nuffield Maths 5-11 project. Practical experiences are used to introduce students to the early stages of subtraction and place value. The worksheets were designed to be used in conjunction with the Nuffield Maths 2 Teachers' Handbook and provide…
Nuffield Maths 2: Teacher's Handbook
This resource, from Nuffield Foundation, provides clear guidance on the content, methods and timing appropriate at each stage of the Nuffield Maths 5 - 11 project, which was developed to promote students' understanding of the concepts, as well as proficiency in the basic skills of mathematics. The chapters in this handbook…
Nuffield Maths 1: Teacher's Handbook
This resource, from Nuffield Foundation, provides clear guidance on the content, methods and timing appropriate at each stage of the Nuffield Maths 5 - 11 project, which was developed to promote students' understanding of the concepts, as well as proficiency in the basic skills of mathematics. The chapters in this handbook…
Decimals 1
This resource consists of thirteen work cards each requiring students to investigate some aspect of the use of decimals. Associated with each card is a student help sheet and comprehensive teacher notes detailing assumed knowledge for each task, the purpose of the module and details of the work to be carried out by the student. Section…
Area
This resource consists of seventeen work cards each requiring students to investigate some aspect of area and perimeter of shapes. Associated with each card is a student help sheet and comprehensive teacher notes detailing assumed knowledge for each task, the purpose of the module and details of the work to be carried out by the…
Matrices
From the Nuffield Foundation, the purpose of this module is to introduce the language associated with matrices, to illustrate their use and begin to develop the algebra associated with them. The resource consists of: • Overview of the content of the cards. • Cards I.1 – I.3: language of matrices introduced…
Functionality
From the Nuffield Foundation, the purpose of this module is to introduce students to the linked concepts of 'variable' and 'function', so that by recognising the independent variables in an experimental situation, they will be able to control the experiment in an organised manner. If they also keep records in…
Simultaneous Equations
From the Nuffield Foundation, the purpose of this module is to introduce students to the solution of simultaneous equations and demonstrates a rather unusual way of approaching the topic. The equations are largely restricted to equations where the coefficients are +/- 1 to achieve some simplicity in the algebra with sometimes more…
Speed and Gradient
This module from the Nuffield Foundation gives an attempt to relate the gradient of a graph to the rate of displacement of an object which moves with time. This can be summed up in the phrase 'faster is steeper'. The module is in three sections, each of which is based on a simple piece of practical equipment which the students…
Similarity 2
From the Nuffield Foundation, the purpose of the module is to build on the Similarity module and extend the work, including more formal calculation, as far as the introduction of trigonometric rations. The module includes: • Notes for the teacher including a brief overview of the content of the workcards and references…
Vectors
From the Nuffield Foundation, the object of this module is to provide a simple introduction to the idea of a vector. Students need to be familiar with the co-ordinates module before starting this module. The development makes use of a number of simple (vector) grid games. The resource includes: • Overview of the cards…
Topology
This module from the Nuffield Foundation introduces simple ideas of topology starting from informal considerations of topological transformations progressing to work on networks (the bulk of the content) and ending with an investigation into map colouring. The resource includes: • Notes for the teacher including a very…
Co-ordinates
From the Nuffield Foundation, this module develops the use of co-ordinates in two and three dimensions using traditional games. It digresses into the simple use of matrices as information stores and finally, extending the work on ‘battleships’ into equations of lines and rather quickly into the solution of simultaneous…
Similarity
From the Nuffield Foundation, the purpose of this module is to introduce students to a study of the properties of similar figures as a first step on the way to a study of trigonometry. Hence the workcards involve the practising of the mechanics of enlargement, becoming familiar with the idea of a scale factor and with the idea of…
Symmetry
From the Nuffield Foundation, the purpose of this module is to develop understanding of line and rotational symmetry. Much of the work on line symmetry is based on paper folding activities and is quite practical. The resource includes: • A cards and notes: introduction – looking at patterns and creating patterns…
Angles, Courses and Bearings
From the Nuffield Foundation, the purpose of the module is to develop students’ understanding of angle by exploring rotation in practical situations and by using simple home-made equipment made from card. The resource includes: • Notes for the teacher including the organisation of the cards and the purpose and content…
Indices and Molecules
From the Nuffield Foundation, the purpose of this module is to introduce students to index notation and standard form on the way to the determination of the size of a molecule. It builds up from simple rice-counting and paper-cutting to experiments in chemistry and physics which give a good approximation to molecular size. This…
Irrationals
From the Nuffield Foundation, this module attempts to build up an understanding of irrational numbers. It contains ideas and content which would normally be introduced much later (for example, the notion of closure, use of continued fractions – which are called ‘continuous’ fractions in the text). The resource…
Integers
The module, from the Nuffield Foundation, focuses on addition, subtraction, multiplication and division of directed numbers. The approach is the highly unusual one of representing directed numbers by equivalence classes of ordered pairs. This representation is supported by the use of a cardboard ‘machine’ which the authors…
Decimals 2
From the Nuffield Foundation, this module focuses on the use of decimals in multiplication and division and then on applications which include averages, speed calculations and rounding. The resource consists of: • Introduction: the teachers' notes on theoretical underpinning and layout of calculations. • A…
Number Patterns
From the Nuffield Foundation, the module is primarily about simple number patterns which are explored on a number square. The teachers' notes indicate how the theory may be developed further and include some notions of modular arithmetic. The resource consists of: • Introduction: the teachers' notes and the suitability…
From Counting to Calculating
From Counting to Calculating, part of the Mathematics for the Majority series produced by The Schools Council Project in Secondary School Mathematics, is aimed at expanding teachers’ knowledge about the use of number in calculations in order to pass on this understanding to higher secondary students within their lessons. This…
Number Appreciation
Number Appreciation, part of the Mathematics for the Majority series produced by The Schools Council Project in Secondary School Mathematics, is aimed at expanding teachers’ knowledge about the number system in order to pass on this understanding to higher secondary students within their lessons. This book compliments From…
Mathematics From Outdoors
Mathematics From Outdoors, part of the Mathematics for the Majority series produced by The Schools Council Project in Secondary School Mathematics, is aimed at expanding teachers’ knowledge and is designed to help teachers to develop classroom activities that will interest students and enable them to link the mathematics they…
Machines, Mechanisms and Mathematics
Machines, Mechanisms and Mathematics, part of the Mathematics for the Majority series produced by The Schools Council Project in Secondary School Mathematics, is aimed at expanding teachers’ knowledge, and is written in the belief that much of mathematics has been developed to solve practical problems. Many practical applications…
Luck and Judgement
Luck and Judgement, part of the Mathematics for the Majority series produced by The Schools Council Project in Secondary School Mathematics, is aimed at expanding teachers’ knowledge, concentrating upon a practical approach to the teaching of probability and statistics. The book has two parts, the first concentrating upon…
Crossing Subject Boundaries
Crossing Subject Boundaries, part of the Mathematics for the Majority series produced by The Schools Council Project in Secondary School Mathematics, is a book aimed at teachers, encouraging collaboration across different subject areas. Each chapter focuses upon a different area of the curriculum and describes aspects of mathematics…