Place Value is the base of all mathematical understanding. Select here for in-depth Place Value Professional Learning. Continue here for a summary and diagram of the Place Value learning in each grade.

Students develop their understanding of place value concepts, firstly understanding place value additively in Kindergarten, Years 1 and 2, and then multiplicatively as well in Years 3, 4, 5 and 6.

KINDERGARTEN: Students begin to investigate place value concepts of partitioning, friends of 10 and place value of teen numbers informally in Kindergarten (Place Value 1, 2, 3, 4, 5).

Y
YEAR 1: Students begin to investigate Place Value formally in Year 1 as they investigate friends of 10, partitioning and place value of teen numbers (Place Value 6, 7, 8). They then apply this understanding to add and subtract single-digit numbers without counting by ones (Addition and Subtraction 6, 7). They begin to investigate friends of 20, friends of any decade and two-digit place value (Place Value 9, 10, 11), and then apply this understanding to add and subtract single-digit numbers and teen numbers bridging 20, and single-digit numbers and two-digit numbers bridging any decade (Addition and Subtraction 8, 9).

SYEAR 2:
YEAR 2: Students begin to investigate counting forwards and backwards by 10 on and off the decade, partitioning 10s numbers, friends of 100 and three-digit place value (Place Value 12, 13, 14, 15, PA 11) in Year 2. They then apply this understanding to add and subtract 10s numbers, and two-digit numbers counting by 10s and bridging to the hundred (Addition and Subtraction 13, 14, 15, 16, 17).

S
YEAR 3: Students begin to investigate counting by 100s and four-digit place value (Place Value 16, 17, PA 12, 16) in Year 3. They then apply this understanding to add and subtract three- and four-digit numbers (Addition and Subtraction 21) including as money (Addition and Subtraction 23, MF 9). They begin their investigation of multiplicative place value, with an investigation of multiplicative place value of whole numbers (Place Value 18). They then relate this understanding to metric measurement of length, area, volume and capacity and mass.

YEAR 4: Students begin to investigate five-digit place value (Place Value 19, Patterns and Algebra 20) in Year 4. They then apply this understanding to add and subtract five-digit numbers, including as money (Addition and Subtraction 24 Money and Financial Mathematics 10). They continue their investigation of additive and multiplicative place value, with an investigation of tenths and hundredths (Place Value 20, 21, Fractions and Decimals 11, 12), money as decimal to 2 places (Place Value 22, Fractions and Decimals 16), and rounding decimals (Place Value 23, Fractions and Decimals 17). Again they then relate this understanding to metric measurement of length, area, volume and capacity and mass.

YEAR 5: Students begin to investigate using multiplicative place value to multiply and divide by 10, 100 and 1000 (Place Value 24, Fractions and Decimals 18) in Year 5, and extend their investigation of additive and multiplicative place value to thousandths (Place Value 25 Fractions and Decimals 21). They investigate ordering numbers to thousandths and number patterns with decimals (Place Value 26, 27, Fractions and Decimals 22, 24, Patterns and Algebra 27). Again they then relate this understanding to metric measurement of length, area, volume and capacity and mass.


YEAR 6
: Students begin to investigate additive and multiplicative place value of numbers of any size (Place Value 28, Fractions and Decimals 25) in Year 6, multiplying and dividing by decimals (Place Value 29, Multiplication and Division 25, Fractions and Decimals 26) and probabilities using fractions, decimals and percentages (Place Value 30, Fractions and Decimals 31, Statistic and Probability 16). They investigate patterns with fractions and decimals (Place Value 31, Addition and Subtraction 31, Fractions and Decimals 34, Pattern and Algebra 28), and add and subtract decimals and fractions with related denominators (Place Value 32, Addition and Subtraction 29,30, Fractions and Decimals 32, 33). Again they then relate this understanding to metric measurement of length, area, volume and capacity and mass.

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