# LET’S START WITH PLACE VALUE!

Place Value is the base of all mathematical understanding. (For Professional Learning on Place Value, select Professional Learning above, Learn by Concept, Number and Algebra, * Place Value Professional Learning*.)

Students develop their understanding of place value concepts, firstly understanding place value additively in Kindergarten/Prep/Reception, Years 1 and 2 then multiplicatively as well in Years 3, 4, 5 and 6. (See the diagram below!)

Students begin to investigate place value concepts of partitioning, friends of 10 and place value of teen numbers informally in Kindergarten/Prep/Reception (PV 1, 2, 3, 4, 5).

Students begin to investigate Place Value formally in Year 1 as they investigate friends of 10, partitioning and place value of teen numbers (PV 6, 7, 8). They then apply this understanding to adding and subtracting single-digit numbers without counting by ones (AS 6, 7). They begin to investigate friends of 20, friends of any decade and two-digit place value (PV 9, 10, 11), and 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 (AS 6, 7).

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 (PV 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 (AS 13, 14, 15, 16, 17).

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

Students begin to investigate five-digit place value (PV 19, PA 20) in Year 4. They tehn apply this understanding to add and subtract five-digit numbers, including as money (AS 24 MF10). They continue their investigation of additive and multiplicative place value, with an investigation of tenths and hundredths (PV 20, 21, FD 11, 12), money as decimal to 2 places (PV 22, FD 16), and rounding decimals (PV 23, FD 17). Again they then relate this understanding to metric measurement of length, area, volume and capacity and mass.

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

Students begin to investigate additive and multiplicative place value of numbers of any size (PV 28, FD 25) in Year 6, multiplying and dividing by decimals (PV 29, MD 25, FD 26) and probabilities using fractions, decimals and percentages (PV 30, FD 31, SP 16). They investigate patterns with fractions and decimals (PV 31, AS 31, FD 34, PA 28), and add and subtract decimals and fractions with related denominators (PV 32, AS 29,30, FD 32, 33). Again they then relate this understanding to metric measurement of length, area, volume and capacity and mass.