To the left
To the left
Mmmm to the left, to the left
Everything's ten times in the place to the left
In the ones place, that's single stuff
Yes, if you move it, baby, it's ten times enough...
But is this enough? No. Looking deeper into the CCSS, we find the Standards for Mathematical Practice:
- MP1 - Make sense of problems and persevere in solving them.
- MP2 - Reason abstractly and quantitatively.
- MP3 - Construct viable arguments and critique the reasoning of others.
- MP4 - Model with mathematics.
- MP5 - Use appropriate tools strategically.
- MP6 - Attend to precision.
- MP7 - Look for and make use of structure.
- MP8 - Look for and express regularity in repeated reasoning.
Oh boy! These process standards made me realize that I need to provide my students with opportunities to solve challenging mathematical problems and explain their reasoning with words, pictures, structures, or models. For my students, a daily dose of writing to explain was in order. I began at the beginning, whole number numeration.
Before I presented this problem to my students, I had to do some deep thinking about how a thoughtful, appropriate answer might look. Here are two possibilities: