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Teaching Mathematics. Fractions Presented by Dot Shea 2013. Fractions. Fractions are about DIVISION The more you share the less you get With fractions there are 2 parts to think of: o the PART and o the PART in relation to the WHOLE - PowerPoint PPT Presentation
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Teaching MathematicsFractions
Presented by Dot Shea
2013
FractionsFractions are about DIVISION The more you share the less you
get With fractions there are 2 parts
to think of: o the PART and o the PART in relation to the
WHOLE Provide different
representations / language – linear, area, set
FractionsWe come across fractions in many areas
of real life◦Division- when we share items equally◦Money- silver coins◦Clocks- ½ past, ¼ to◦Measurement: rulers, tape measures, scales,
jugs length-metres Capacity- litres Weight- grams
◦ Graphs- representations – 1 bar, picture = 5◦ Maps- Scale
Area Model Ten frames, Hundred framesNumbers to 10, 100, 1000, fractions,
decimals, percentages etc
Area Model Fractions Fractions are not about symmetry. Half is dividing
something into two equal parts – Equal area.
Fractions Area model
Linear Model Number Track:Knowing how the numbers are related
to each other (what comes after this number: how many more to five? How many to 10?) is essential for mental computation, addition and subtraction
The linear model develops proportional understanding through the use of equal spacing and partitioning. This is pre-requisite to number line work.
Fractions-Linear Model
Set ModelA set model is when there are groups of objects
Fractions- set model
Fractions To gain a good understanding of fractions students
need to be able to read, and manipulate fractions in area, linear and set models.
NAPLANIn the year 5 test 2012, 8 of the
questions were directly related to understanding fractions◦11- Length 16-money◦18- Money 20- area◦27- area 28- Time◦35- division 37- division