Teaching Mathematics

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