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Fractions, decimals and 
percentages 6.11.2014
What does the National 
Curriculum say?
Visualisation in Mathematics- FDP
1 
3 
2 
4 
1 
3 6 
10 
15 21 
A B 
C 
D 
E 
A memorable picture?
Fractions, Decimals and Percentage 
• In small groups come up with a statement 
defining visualisation in simple terms
A Powerful Force 
‘Imagery is a powerful force for perception and 
understanding. Being able to “see” something mentally is 
a common metaphor for understanding it. An image may 
be of some geometrical shape, or of a graph or diagram, 
or it may be some set of symbols or some procedure.’ 
Open University 
What’s your current practise?
Activity
Answers 
 Numbers – 
Eight, five, four, nine, one, seven, six, ten, three, two 
 Months – 
April, August, December, February, January, July, June, March, May, November, 
October, September
Using a counting stick to Visualise… 
 https://www.ncetm.org.uk/resources/43609
Fractions of shapes challenges . . .
The Two-Jars Puzzle 
Given a 5-litre and a 
3-litre jar and an unlimited 
supply of water, how 
do you measure out 4 litres 
exactly?
Building a picture of equivalence 
1 2 3 
4 
2/4, 1/4, 3/1 . . . .. ………
Introducing decimals 
through 
Gattegeno charts. . . 
http://www.numbergym.co.uk/hosting/NGS/NG_GatChartExpl.html 
Number lines 
http://www.taw.org.uk/lic/itp/dec_num_line.html
Introducing percentages. . .
Would you rather… 
½ of £750 
10% of £3000 
1/8 of £800 
3/10 of £2700
http://uk.pinterest.com/cece09/fractions-decimals-percents/
Resources 
http://uk.pinterest.com/cece09/fractions-decimals-percents/ 
NNS Shape and Space booklet 
•Beam – ‘Eyes closed’ 
•Nunes (2006) Fractions: Difficult but crucial in 
mathematics learning 
•Anita Straker – ‘Talking Points in Mathematics’ 
•Maths Trails - Visualisation 
•Talk for maths – mind’s eye 
•Open University – Learning Space – ‘Using 
Visualisation in Mathematics Teaching’

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SESSION 9 - Maths - Fractions, Decimals and Percentages