Standards for Mathematical Practice

1. Make sense of problems and persevere in solving them I can make a plan, carry out my plan, and evaluate its success.
  • I will read the question and think about what it’s telling me.
  • I will draw a picture, read the problem aloud, or write it in another way.
  • I will ask myself if my answer makes sense.
  • I will try something, revise my process, refine my thinking, and try again.
 2. Reason abstractly and quantitativelyI can use reasoning habits to help me contextualize and decontextualize problems.
  • I will take numbers and put them in a real-world context.
  • I will take numbers out of context and work mathematically with them.
 3. Construct viable arguments and critique the reasoning of othersI can make conjectures and critique the mathematical thinking of others.
  • I will construct, justify and communicate arguments by considering context, using example and non-examples, and using objects, drawings and diagrams.
  • I will critique the reasoning of others by listening, comparing arguments, identifying flawed logic, and asking questions to clarify or improve arguments.
 4. Model with mathematicsI can recognize math in everyday life and use math I know to solve everyday problems.
  • I will make assumptions and estimate to make complex problems easier.
  • I will identify important quantities and use tools to show their relationships.
  • I will evaluate my answer and make changes if necessary.
 5. Use appropriate tools strategicallyI know when to use certain tools to help me explore and deepen my math understanding.
  • I will have multiple tools in my math toolbox.
  • I will know how and when to use certain tools.
  • I will think about whether the tool I used gave me an answer that makes sense.
 6. Attend to precisionI can use precision when solving problems and communicating my ideas.
  • I will calculate accurately.
  • I will use the level of precision that's appropriate for the problem.
  • My answers will match what the problem asked me to do - estimate or find an exact answer.
 7. Look for and make use of structureI can see and understand how numbers, shapes and objects are organized and put together as parts and wholes.
  • I will find, extend, analyze and create patterns.
  • I will use patterns and structures to solve problems.
 8. Look for and express regularity in repeated reasoningI can notice when calculations are repeated and I can then find more efficient methods and shortcuts.
  • I will use patterns and structures to create and explain rules and shortcuts.
  • I will use properties, rules and shortcuts to solve problems.
  • I will reflect on my thinking before, during and after I solve a problem.