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Nuffield Foundation
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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 includes:
*Notes for the teacher including a brief overview of the content of the workcards.
*A cards and notes: The set of natural numbers (N), the set of integers (Z) and the set of rational numbers (Q) are considered and how each set of numbers is built up from the preceding set
*B cards and notes: The link between fraction and decimals. Constructing an irrational number by producing a non-terminating, non-repeating decimal
*C cards and notes: Includes use of Pythagoras’ Theorem and Euclid’s proof of the irrationality of √2
*D cards and notes: Discussion of the irrationality of π.
This module consists of 19 workcards and associated teacher notes which helpfully include pre-requisite knowledge. The workcards are organised into four groups A, B, C and D and there is also a post test. Each card has detailed ‘Notes for the teacher’ and most cards have ‘Notes for the pupil’.
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Downloads
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Introduction 112.2 KB
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A cards and notes 230.44 KB
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B cards and notes 362.81 KB
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C cards and notes 369.21 KB
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D cards and notes 210.5 KB
Show downloads
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Introduction 112.2 KB -
A cards and notes 230.44 KB
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B cards and notes 362.81 KB
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C cards and notes 369.21 KB
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D cards and notes 210.5 KB
Download all files as a .zip1.16 MB
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