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# Teaching and Learning SequenceFractions ## Introducing Fractions

Key Ideas

Until recently, students were first introduced to fractions around year 1. With recent changes to the Australian mathematics curriculum, however, fractions are now being taught to students in year 2 with the first content descriptor being:

Recognise and describe one-half as one of 2 equal parts of a whole and connect halves, quarters, and eighths through repeated halving

The most important thing to note about this content descriptor is the focus on the one-half. When students master the half, they can then transfer this skill into every other fraction. The following video discusses the fraction three-quarters and the explicit ways to introduce a fraction to students.

Activity Ideas Coming soon!

### Halving

• Representing one-half

• Area models

• Part-whole

Year 2

AC9M2N03

recognise and describe one-half as one of 2 equal parts of a whole and connect halves, quarters, and eighths through repeated halving

### Happy Halving

• Representing one-half

• Area models

• Part-whole

Year 2

AC9M2N03

recognise and describe one-half as one of 2 equal parts of a whole and connect halves, quarters, and eighths through repeated halving

### A Bowl of Fruit

• Representing one-half

• Set/discrete models

• Part-whole

Year 2

AC9M2N03

recognise and describe one-half as one of 2 equal parts of a whole and connect halves, quarters, and eighths through repeated halving

### Lili's Breakfast

• Representing different fractions

• Area models

• Part-whole

Year 2

AC9M2N03

recognise and describe one-half as one of 2 equal parts of a whole and connect halves, quarters, and eighths through repeated halving

Year 3

AC9M3N02

recognise and represent unit fractions including 1/2, 1/3, 1/4, 1/5, and 1/10​ and their multiples in different ways; combine fractions with the same denominator to complete the whole.

### Cut and Find

• Representing different fractions

• Area models

• Part-whole

Year 2

AC9M2N03

recognise and describe one-half as one of 2 equal parts of a whole and connect halves, quarters, and eighths through repeated halving

Year 3

AC9M3N02

recognise and represent unit fractions including 1/2, 1/3, 1/4, 1/5, and 1/10​ and their multiples in different ways; combine fractions with the same denominator to complete the whole.

### Dividing Pancakes

• Representing different fractions

• Volume models

• Part-whole

Year 2

AC9M2N03

recognise and describe one-half as one of 2 equal parts of a whole and connect halves, quarters, and eighths through repeated halving

Year 3

AC9M3N02

recognise and represent unit fractions including 1/2, 1/3, 1/4, 1/5, and 1/10​ and their multiples in different ways; combine fractions with the same denominator to complete the whole.

### Sequencing and Counting

• Representing fractions on a number line

• Number lines

• Sequencing of fractions

Year 3

AC9M3N02

recognise and represent unit fractions including 1/2, 1/3, 1/4, 1/5, and 1/10​ and their multiples in different ways; combine fractions with the same denominator to complete the whole.

Year 4

AC9M4N04

count by fractions including mixed numerals; locate and represent these fractions as numbers on number lines

### Cuisenaire Rod Fractions

• Finding fractions

• Fractions as a measure

• Part-whole

• Number lines

Year 3

AC9M3N02

recognise and represent unit fractions including 1/2, 1/3, 1/4, 1/5, and 1/10​ and their multiples in different ways; combine fractions with the same denominator to complete the whole.

Year 4

AC9M4N03

find equivalent representations of fractions using related denominators and make connections between fractions and decimal notation.

AC9M4N04

count by fractions including mixed numerals; locate and represent these fractions as numbers on number lines.

Year 5

AC9M5N03

compare and order fractions with the same and related denominators including mixed numerals, applying knowledge of factors and multiples; represent these fractions on a number line.

Year 6

AC9M6N03

apply knowledge of equivalence to compare, order and represent common fractions including halves, thirds and quarters on the same number line and justify their order.   