We are currently studying place value in maths.
Place value is defined as the value of a digit based on its position in a number.
For example: in the number 946 the 4 is in the “tens” position so it shows a value of 40. The 9 is in the “hundreds” position so it shows a value of 900.
Students have been developing their place value skills using four, five, six and seven digit numbers.
Numbers can be represented in different ways. Consider the five digit number in the place value chart below.
Standard form: 28,362
Word form: Twenty eight thousand, three hundred and sixty two
Expanded form: 20,000 + 8,000 + 300 + 60 + 2
We can also rename numbers in different ways. The number above can be renamed in a variety of ways including:
28 thousands, 36 tens and 2 ones
283 hundreds and 62 ones
2836 tens and 2 ones
28 thousands and 362 ones
Base 10 materials (sometimes referred to as MAB) are a very useful resource to model numbers.
Base 10 ones
Base 10 tens
Base 10 hundreds
Base 10 thousands
Students have been building their knowledge by participating in a range of individual, partner, small group and whole class tasks. One highlight has been the Base 10 Race!
To play this game, students worked in collaborative groups outside. Each team rolled dice repeatedly and had to collect the required amount of Base 10 materials after each roll. They had to “trade” the materials when necessary. For example, when they had 10 ones, they exchanged for 1 ten. Or when they had 10 tens, they exchanged for 100. Teams kept a record of their number as the game progressed. It was a fun way to develop place value knowledge!
How has your place value knowledge improved?
What place value activity have you enjoyed?
If you were designing a place value game, what would it be?
What is your favourite maths topic?