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Understanding fractions

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CONTENTS

ITEM TYPE NUMBER
Working with fractions Workout 56 slides
Working with fractions Library 15 questions
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SAMPLE FROM THE WORKOUT

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SLIDE 1 - TASK 1

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SLIDE 2 - SOLUTION

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SAMPLE FROM THE LIBRARY

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QUESTION [difficulty 0.1]

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SOLUTION

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DEPENDENCIES

170: Measurement and areas
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174: Understanding fractions
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176: Decimals

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CONCEPTS

ITEM
 LEV.
Division of symmetric shapes into two halves 362.1
Division of a rectangle into three equal parts 362.3
Unequal division of a shape 362.5
Division of a circle into three equal parts 362.7
Quarter, division into four equal parts 362.9
Fractions, fifth, sixth, seventh, eighth 363.1
Two fractions that sum to a whole 363.2
Fractions of complex composite shapes 363.4
Fraction bonds sum to unity 363.6
Division of a circle into five equal parts 363.8
Division of a circle into seven equal parts 364.3
Drawing a pentagram 364.5
Inscribing (implicit) 364.5
Pentagram 364.6
Pentacle 364.6
Pentagon 364.6
Word problems in simple fractions 364.7
Bigger, smaller 365.1
Comparison of fractions 365.1
Equal fractions (equivalent fractions) 365.3
Classification bigger, equal, smaller 365.5
Fractions of money 365.7
Part of whole calculations 365.7
60 minutes in 1 hour 365.9
Measure of volume - litre or pint 365.9
Half of half is a quarter 366.1
Halving fractions 366.3
Multiples of fractions 366.5
Equivalents of one half 366.7
Equivalents of one third 367.1
Equivalents of one quarter 367.3

RAW CONTENT OF THE WORKOUT

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Divide each of these shapes into two halves. SLIDE 2 There are many alternative solutions. SLIDE 15 ? ? ? ? ? ? ? ? Shaded fraction Unshaded fraction SLIDE 18 Divide a circle (or cake) into five equal pieces. SLIDE 50 Make each of these equivalent to ? ? ? ? ? ? ? ? ? ? SLIDE 51 ? ? ? ? ? ? ? ? ? ? SLIDE 37 SLIDE 37 B ? ? ? ? ? ? ? ? ? ? SLIDE 38 SLIDE 38 B ? ? ? ? ? ? ? ? ? ? SLIDE 39 ? There are 60 minutes in an hour. How many minutes are there in (a) half an hour, (b) quarter of an hour, (c) three-quarters of an hour? ? How many minutes are there in (a) one tenth of an hour, (b) three tenths of an hour? ? My car holds 60 litres of petrol. It is one-quarter full. How much petrol must be added to fill the tank? ? A pair of jeans costs £100. I have saved of this money. How much more money do I need to buy the jeans? ? How many pence are there in of £1? SLIDE 39 B ? There are 60 minutes in an hour. How many minutes are there in (a) half an hour, (b) quarter of an hour, (c) three-quarters of an hour? ? How many minutes are there in (a) one tenth of an hour, (b) three tenths of an hour? ? My truck holds 12 gallons of petrol. It is one-quarter full. How much petrol must be added to fill the tank? ? A pair of jeans costs $100. I have saved of this money. How much more money do I need to buy the jeans? ? How many pence are there in of $1? SLIDE 40 B ? ? ? My truck holds 12 gallons of petrol. It is one-quarter full. How much petrol must be added to fill the tank? ? A pair of jeans costs $100. I have saved of this money. How much more money do I need to buy the jeans? ? How many pence are there in of $1? SLIDE 51 ? ? ? ? ? ? ? ? ? ? SLIDE 52 Make each of these equivalent to ? ? ? ? ? ? ? ? ? ? SLIDE 53 ? ? ? ? ? ? ? ? ? ? SLIDE 55 Make each of these equivalent to ? ? ? ? ? ? ? ? ? ? SLIDE There are 10 fractions equivalent to ½, 8 fractions equivalent to ?, 9 fractions equivalent to ¼, 8 fractions equivalent to ? Find them all. SLIDE