FRACTIONS, DECIMALS AND PERCENTAGES CONCEPT SEQUENCE
Fractions
Kindergarten
Decimals and Percentages
 Halve shapes and lengths, explaining it is half as big / long
Year 1
 Halve shapes, lengths and groups
Year 2
 Quarter and eighth shapes, lengths and groups
Year 3
 Role of the denominator and numerator
 Multiplicative relationships between fractions
Year 4
 Non-unit fractions, including identifying 𝟐, 𝟒, 𝟑, 𝟓, 𝟖, 𝟏𝟎 = 1
 Equivalent fractions and the relationship between numerator
and denominator
 Multiplicative, standard and non-standard place value of
decimals to tenths and hundredths
 Money as two decimal places
 Role of the vinculum as meaning divided by
 Add and subtract fractions with the same denominator
 Standard and non-standard place value of decimals to
thousandths
Year 5
𝟐 𝟒 𝟑 𝟓 𝟖 𝟏𝟎
 Order fractions and decimals on a number line
 Number patterns involving fractions, decimals and whole numbers
Year 6
 Equivalent fractions through calculation
 Fractions in their simplest form by dividing numerator and
denominator by highest common factor
 Division as a fraction of a quantity is multiplication by a fraction
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 Add and subtract whole numbers and decimals of any
size
 Multiply and divide decimals to thousandths by whole
numbers
 Calculate percentage discounts of 10%, 25% and 50% on
sale items
Number patterns involving fractions, decimals and whole numbers, including geometric number patterns, that increase through
addition and decrease through subtraction, including on number line, in a table, describing the rule
Record remainders as fractions and decimals when dividing by 10
Percentages as hundredths, related to fractions and decimals including on a number line
Assign probabilities of the likelihood of outcomes using fractions, decimals and percentages on a number lines
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Fractions, Decimals and Percentages Concept
1F
Halve shapes and lengths, explaining it is half as big / long
Halve different shapes, explaining why halves are different sizes / areas
2F
Halve shapes, lengths and groups
3F
Quarter shapes and lengths by quartering and by halving a half
4F
Quarter groups by quartering and by halving a half
5F
Eighth shapes and lengths by eighthing, by halving a quarter and by quartering a half
6F
Eighth groups by eighthing, by halving a quarter and by quartering a half
7F
Role of the denominators 2, 4, 3, 5, 8, 10, as the number of parts we have divided the whole into
8F
Multiplicative relationships between fractions while building a fraction wall
9F
Non-unit fractions and the role of numerator as the number of parts we are concerned with
10F
Locate unit fractions on a number line and identify that 𝟐, 𝟒, 𝟑, 𝟓, 𝟖, 𝟏𝟎 = 1 including on a number line
11D
Explain multiplicative place value of decimals to tenths by dividing 1 by 10 to get tenths
Explain multiplicative place value of decimals to tenths by multiplying tenths by 10 to get 1
Explain standard and non-standard place value of decimals to tenths
Express tenths as both fraction and decimal
12D
Multiplicative place value of decimals to hundredths by dividing a tenth by 10
𝟐 𝟒 𝟑 𝟓 𝟖 𝟏𝟎
Standard and non-standard place value of decimals to hundredths, expressing hundredths as both fraction and decimal
13F
Equivalent fractions with concrete material and the relationship between numerator and denominator
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2
Fractions, Decimals and Percentages Concept
14F
Equivalent fractions on a number line
15F
Number patterns involving fractions, (halves, quarters and thirds), that increase through addition and decrease through subtraction,
including on number line
16D
Recognise that amounts of money are written with two decimal places
Recognise cents as a fraction of a dollar
Identify other countries’ currencies as decimal
17D
Round a number with one or two decimal places to the nearest whole number
18D
Multiplicative place value of whole numbers and decimals to hundredths by multiplying and dividing by 10, 100 and 1000
Standard and non-standard place value of decimals to hundredths, expressing hundredths as both fraction and decimal
19F
Role of the vinculum as meaning divided by
20F
Division with remainders divided to create fractions
21D
Multiplicative place value of whole numbers and decimals to thousandths by multiplying and dividing by 10, 100 and 1000
Express decimals to thousandths as both fractions and decimals
Standard and non-standard place value of decimals to thousandths, expressing thousandths as both fraction and decimal
22FD
Order fractions and decimals on a number line
23F
Add and subtract fractions with the same denominator
24FD
Number patterns involving fractions, decimals and whole numbers, that increase through addition and decrease through subtraction,
including on number line
25D
Multiplicative place value of whole numbers and decimals of any size by multiplying and dividing by 10, 100 and 1000
Express decimals as both fractions and decimals
26D
Multiply and divide decimals to thousandths by whole numbers and powers of 10
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3
Fractions, Decimals and Percentages Concept
27FD
Record remainders as fractions and decimals when dividing by 10
28F
Explain division as a fraction of a quantity is multiplication by a fraction
29F
Fractions in their simplest form by dividing numerator and denominator by highest common factor creating equivalent fraction
through calculation
30FDP
31P
32FDP
Percentages as hundredths, related to fractions and decimals including on a number line
Calculate percentage discounts of 10%, 25% and 50% on sale items
Describe probabilities using fractions, decimals and percentages, including on a number line
33D
Add and subtract whole numbers and decimals of any size
34F
Estimate and add and subtract fractions and mixed numerals with related denominators
35FD
Number patterns involving fractions, decimals and whole numbers, including geometric number patterns, that increase through
addition and decrease through subtraction, including on number line, in a table, describing the rule
Website: http://www.alearningplace.com.au
Email: [email protected]
Twitter: @learn4teach
YouTube: A Learning Place A Teaching Place
Scan the QR Code
Facebook: A Learning Place
4