The document discusses the Common Core State Standards for Mathematical Practice, outlining learning goals and essential strategies to support these standards. It draws an analogy with building a house, emphasizing the need for planning, communication, and precision in both mathematics and construction. It further details each mathematical practice, providing specific teaching strategies to enhance problem-solving skills and classroom discussions.

1. Common Core State Standards
Standards for Mathematical Practice

2. Learning Goals
• To develop a general understanding of the
Standards for Mathematical Practice.
• To familiarize ourselves with the language of
the Standards of Mathematical Practice.
• Identify strategies that allow us to support the
Standards for Mathematical Practice.

3. Building A House
What do we need to
build a house?

4. Building A House
We need to know
how to build a
house.

5. Building A House
We need to know
how to design the
house.

6. Building a House
We need to be able
to communicate with
others about our
ideas.

7. Building a House
We need to be able
to represent the cost
of building a new
house.

8. Building a House
We need to know
how and when to use
the right tools.

9. Building a House
We need to work
with precision.

10. Building a House
We need to have an
organized plan for
building a house.

11. Building a House
We can use what we
know to add on to
the house.

12. Comparison
• What does building a house have to do with
mathematics?

13. TED Talks: Dan Meyer

14. Mathematical Practice #1
Make sense of problems and persevere in solving
them.

15. Mathematical Practice #1
Make sense of problems and persevere in
solving them.
Strategies
• Provide wait-time for processing solutions.
• Circulate to pose probing questions and monitor
student progress.
• Provide opportunities and time for cooperative
problem solving and reciprocal teaching.

16. Mathematical Practice #2
Reason abstractly and quantitatively.

17. Mathematical Practice #2
Reason abstraction and quantitatively.
Strategies
• Ask students to explain their thinking regardless of
accuracy.
• Facilitate discussion through guided questions and
representations.
• Accept varied solutions/representations.

18. Mathematical Practice #3
Construct viable arguments and critique the
reasoning of others.

19. Mathematical Practice #3
Construct viable arguments and critique the
reasoning of others.
Strategies
• Provide opportunities for students to listen to the
conclusions and arguments of others.
• Establish and facilitate a safe environment for
discussion.
• Ask clarifying and probing questions.

20. Mathematical Practice #4
Model with mathematics.

21. Mathematical Practice #4
Model with mathematics.
Strategies
• Pose problems connected to previous
concepts.
• Provide a variety of real world contexts.
• Use intentional representations.

22. Mathematical Practice #5
Use appropriate tools strategically.

23. Mathematical Practice #5
Use appropriate tools strategically.
Strategies
• Make appropriate tools available for learning.
– Calculators, concrete models, digital resources,
pencil/paper, compass, protractor, etc.
• Use tools with instruction.

24. Mathematical Practice #6
Attend to precision.

25. Mathematical Practice #6
Attend to precision.
Strategies
• Recognize and model efficient strategies for
computation.
• Use (and challenge students to use)
mathematics vocabulary precisely and
consistently.

26. Mathematical Practice #7
Look for and make use of structure.

27. Mathematical Practice #7
Look for and make use of structure.
Strategies
• Ask questions about the application of
patterns.
• Highlight different approaches for solving
problems.

28. Mathematical Practice #8
Look for and express regularity in repeated
reasoning.

29. Mathematical Practice #8
Look for and express regularity in repeated
reasoning.
Strategies
• Provide tasks and problems with patterns.
• Ask about answers before and
reasonableness after computations.

30. 30
Resources

31. 31
Resources

32. Resources
http://sqworl.com/0lpgop