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Common Core State StandardsStandards for Mathematical Practice
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.
Building A House
What do we need to build a house?
Building A House
We need to know how to build a
house.
Building A House
We need to know how to design the
house.
Building a House
We need to be able to communicate with
others about our ideas.
Building a House
We need to be able to represent the cost
of building a new house.
Building a House
We need to know how and when to use
the right tools.
Building a House
We need to work with precision.
Building a House
We need to have an organized plan for building a house.
Building a House
We can use what we know to add on to
the house.
Comparison
• What does building a house have to do with mathematics?
TED Talks: Dan Meyer
Mathematical Practice #1
Make sense of problems and persevere in solving them.
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.
Mathematical Practice #2
Reason abstractly and quantitatively.
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.
Mathematical Practice #3
Construct viable arguments and critique the reasoning of others.
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.
Mathematical Practice #4
Model with mathematics.
Mathematical Practice #4
Model with mathematics.
Strategies
• Pose problems connected to previous
concepts.
• Provide a variety of real world contexts.
• Use intentional representations.
Mathematical Practice #5
Use appropriate tools strategically.
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.
Mathematical Practice #6
Attend to precision.
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.
Mathematical Practice #7
Look for and make use of structure.
Mathematical Practice #7
Look for and make use of structure.
Strategies
• Ask questions about the application of
patterns.
• Highlight different approaches for solving
problems.
Mathematical Practice #8
Look for and express regularity in repeated
reasoning.
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.
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Resources
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Resources