Name that Mathematical Practice

Your teacher has given you a multi-step task, you are a strong mathematician and can use manipulatives and number lines to solve the task. You are able to know when to use the tool and when the tool does not work.

• SMP2 Reason abstractly and quantitatively

• SMP6 Attend to precision

• SMP5 Use appropriate tools strategically

• SMP1 Make sense of problems and persevere in solving them

You are working in a group or with a partner to solve a problem or complete a task. You become a Math Lawyer! When discussing with one another you are able to use correct math vocabulary when discussing your ideas. You are able to communicate and justify your solutions, listen to reasoning of your friends and respond to arguments of others.

• SMP 4 Model with mathematics

• SMP1 Make sense of problems and persevere in solving them

• SMP 6 Attend to precision

• SMP 3 Construct viable arguments and critique the reasoning of others

You are working on a problem and you are stuck. You really want to ask your teacher for help, and she or he instructs you to keep thinking. You become a detective and look for evidence on how to solve the problem. You know mistakes are ok, and keep trying other approaches.

• SMP7 Look for and make use of structure

• SMP1 Make sense of problems and persevere in solving them

• SMP5 Use appropriate tools strategically

• SMP2 Reason abstractly and quantitatively

You are solving a problem and are invested in calculating accurately and efficiently. You are able to explain your solutions to your friends using correct math vocabulary. You clearly communicate your reasoning to others.

• SMP 8 Look for and express regularity in repeated reasoning

• SMP6 Attend to precision

• SMP2 Reason abstractly and quantitatively

• SMP1 Make sense of problems and persevere in solving them

You notice that 3 and 7 more is the same as 7 and 3 more. You notice a pattern and apply this rule to other equations.

• SMP2 Reason abstractly and quantitatively

• SMP3 Construct viable arguments and critique the reasoning of others

• SMP5 Use appropriate tools strategically

• SMP7 Look for and make use of structure

You are able to represent a word problem symbolically and you are also able to create word problems from an equation.

• SMP1 Make sense of problems and persevere in solving them

• SMP2 Reason abstractly and quantitatively

• SMP3 Construct viable arguments and critique the reasoning of others

• SMP4 Model with mathematics

You have discovered a shortcut for adding numbers when increased by 10s. You no longer need to build the number using concrete objects and can explain your shortcut clearly. You know 13+10=23 and 23+10=33. You are able to apply this to other situations.

• SMP2 Reason abstractly and quantitatively

• SMP3 Construct viable arguments and critique the reasoning of others

• SMP1 Make sense of problems and persevere in solving them

• SMP 8 Look for and express regularity in repeated reasoning

You are grouping objects together to determine whether a given number is even or odd. You determine when there are no leftovers the number is even. If there are leftovers the number is odd.

• SMP7 Look for and make use of structure

• SMP 8 Look for and express regularity in repeated reasoning

• SMP4 Model with mathematics

• SMP3 Construct viable arguments and critique the reasoning of others

The Mathematical Practices

• Are a suggested way of teaching

• Are not necessary for every standard

• Are now included as expected standards

• Are not part of the new standards

The standards are "what" we are teaching. The Mathematical Practices are..

• extra standards to teach

• "how" we are to teach the standards

• suggestions

• for teaching students fluency