| Mathematical Practice Standards | Mathematical Habits of Mind |
|---|---|
| #1 Make sense of problems and persevere in solving them | Performing thought experiments Expecting math to make sense |
| #2 Reason abstractly and quantitatively | Finding and explaining patterns Creating and using representations Generalizing from examples “Delayed evaluation” – Seeking form in calculations Purposefully transforming and interpreting expressions Seeking and specifying structural similarities |
| #3 Construct viable arguments and critique the reasoning of others | Expecting math to make sense Extending operations to preserve rules for calculating |
| #4 Model with mathematics | Creating and using representations “Delayed evaluation” – Seeking form in calculations |
| #5 Use appropriate tools strategically | Seeking and specifying structural similarities Purposefully transforming and interpreting expressions |
| #6 Attend to precision | Expecting mathematics to make sense Seeking and expressing regularity in repeated calculations |
| #7 Look for and make use of structure | “Delayed evaluation” – Seeking form in calculations “Chunking” (changing variables in order to hide complexity) Reasoning about and picturing calculations and operations Extending operations to preserve rules for calculating Purposefully transforming and interpreting expressions Seeking and specifying structural similarities |
| #8 Look for and express regularity in repeated reasoning | Seeking and expressing regularity in repeated calculations Generalizing from examples Finding and explaining patterns Purposefully transforming and interpreting expressions |
