Number Concepts
Modeling a 2-digit number with base-ten blocks builds understanding that a 2-digit number can be named in its expanded form as the sun of its tens and ones.
* Writing a number in expanded form helps children think about how to combine quantities and how place value connects to the process of adding multi digit numbers.
* When children use base-ten blocks, which are regrouped, it is important that they already understand the concept of 10. Because the tens block is regrouped, its use is based on children's understanding that the tens block is composed of 10 single blocks and can be thought of as 1 ten.
* Some children may need to model 10 and 100 using ten frames and connecting cubes before working with base-ten blocks.
* Children should physically fill ten frames and then work together to show 10 filled ten frames. They should see that these filled frames show 100 and 10 groups of 10 ones.
* Children should also connect 10 cubes to make a bar that represents 10 cubes to make a bar that represents 1 ten. Then they can work together to show 10 connected bar of 10, and identify it as 100.
The study of number concepts includes different ways of representing numbers.
* Children need to experience grouping and representing numbers in a variety of ways in order to build place-value concepts.
* Instruction should allow children to focus on the position of a digit in a number to determine its value.
* Even and odd numbers can be explored when building numbers in a ten frame.
* Writing a number in expanded form helps children think about how to combine quantities and how place value connects to the process of adding multi digit numbers.
* When children use base-ten blocks, which are regrouped, it is important that they already understand the concept of 10. Because the tens block is regrouped, its use is based on children's understanding that the tens block is composed of 10 single blocks and can be thought of as 1 ten.
* Some children may need to model 10 and 100 using ten frames and connecting cubes before working with base-ten blocks.
* Children should physically fill ten frames and then work together to show 10 filled ten frames. They should see that these filled frames show 100 and 10 groups of 10 ones.
* Children should also connect 10 cubes to make a bar that represents 10 cubes to make a bar that represents 1 ten. Then they can work together to show 10 connected bar of 10, and identify it as 100.
The study of number concepts includes different ways of representing numbers.
* Children need to experience grouping and representing numbers in a variety of ways in order to build place-value concepts.
* Instruction should allow children to focus on the position of a digit in a number to determine its value.
* Even and odd numbers can be explored when building numbers in a ten frame.
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