## Using the Number Boxes 1 to 10

These nesting boxes for numbers 1-10 model the concept of hierarchical inclusion as well as the fact-families for each number up to 10. Early on, students can be challenged to put the blocks in order, using size relationships to create the “staircase” without the scaffolding provided by the Counting Board. Children are encouraged to verbalize their thinking. They realize that the number 5 is made up of smaller numbers 1-4 (hierarchical inclusion) and that there are many ways to make each number. Children discover that only even numbers can be represented by two of the same size block.

### Order the Number Boxes 1-10 »

The Number Boxes are a powerful tool to teach:

• Sequencing
• Hierarchical inclusion
• Fact families for the numbers up to 10
• The relationship between addition and subtraction
• Fact fluency
• Problem solving with addition and subtraction

### Discovering all the combinations to make a number

Children discover that there are many ways to make a number and all the patterns in those combinations: each block appears twice, providing a visual presentation of the associative principle (“turn-around” facts), and the inverse relationship between the two addends (one staircase goes up while the other side goes down).