Research tells us that in mathematics, higher achieving students have a stronger flexibility and understanding of the relationships between numbers. In classrooms, educators are working with students to build skills with understanding and connections, to help develop their sense of number as well as learning and remembering facts. This helps them when problem-solving.
Think about knowing 4 + 7 = 11 simply as a memorized fact.
Now think about knowing that 4 + 7 = 11 because it is a 3 + 7 and 1 more (linked to knowing that 10 is an important number).
The understanding of this relationship can help a student to think flexibly about 64+27.
In the same way, it can be thought about as 60 + 20 + the 10 (that was made by the understanding of 4+7) and 1 more = 91
As a parent, you can support your child in thinking flexibly about how numbers are related:
- What other numbers or facts is this connected to?
Example: 6 + 7=? This is like the double I know of 6 + 6 and then 1 more.
- What do you know that might help you get there?
Example: 7 x 4 =? I remember that 5 x 4 = 20, so then I have to add on two more 4’s, which is 8, to get 28.
- What is another way that you can know that?
Example: 4 x 25 =? I can think about money and know that 4 quarters is $1.00, so 4 x 25 = 100