Fractions:
!
!
These representations allow children to build a picture that a fraction can be:
• part of a whole
2 ÷ 3 = 0.666…
• part of a set
• the result of a division
• a number
“whatisleftfrom
• a proportion
thewholeafterI
takeathirdaway”
“twothirds”
1:2
“twooutof
three”
“theproportionof
goalsscoredby
thewinnersifthe
finalscoreis2-1”
Multiplication: 6 x 7 = 42
“Seven, 6 times or Six, 7 times”
Distributive Law:
Commutative Law:
(6 x 6) + (6 x 1)
6x7=7x6
“6 lots of 7 or 7 lots of 6”
42
6
7
6
7
6
6
7
6
7
6
7
6
Each small pencil is
6mm long. The big
pencil is 7 times
larger, therefore it is
42mm long which is
equivalent to 4.2cm”
7
“There are still 7 groups of 6. The
group size and the amount in each
group will stay the same, it doesn’t
matter how the groups are organised.”
Useful links:
http://webarchive.nationalarchives.gov.uk/20110202093118/http:/nationalstrategies.standards.dcsf.gov.uk/node/84889
http://whiterosemathshub.co.uk/everyone-can-video-2/