Exemplars

Each week, we become mathematicians-in-training and explore expert problem solving strategies through our Exemplars.  Exemplars are really tricky math problems, which require math reasoning and thinking, as well as collaboration, to solve.

Each week, we introduce a problem and highlight one of the math strategies that successful mathematicians use to complete difficult tasks.  By the end of the year, we should be adept at using all of these strategies.  The problem solving strategies which we are learning to use, called the Math Practices in our Common Core Math Standards, are:
1. Make sense of the problem, then persevere
2. Use math that makes sense
3. Prove and defend our answers
4. Show our thinking in different ways
5. Use math tools to solve
6.  Explain my thinking using math words
7.  Notice patterns to help solve
8. Use a strategy that you've used before

The practices in blue are ones we have learned and practiced in class so far this year.  The ultimate goal is for students to be comfortable facing challenging mathematical tasks, and have a toolkit of strategies they can fall back on.  They also should be comfortable taking risks in small group settings, sharing their ideas and not focusing only on the "right" answer.  Our focus is on the process, rather than the product.

Check out some great pictures of our class using math tools and patterns to help solve an exemplar called Betty's Blocks.