ccss and the standards of mathematical practice

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Common Core State Standards Standards for Mathematical Practice

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Page 1: CCSS and the Standards of Mathematical Practice

Common Core State StandardsStandards for Mathematical Practice

Page 2: CCSS and the Standards of 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.

Page 3: CCSS and the Standards of Mathematical Practice

Building A House

What do we need to build a house?

Page 4: CCSS and the Standards of Mathematical Practice

Building A House

We need to know how to build a

house.

Page 5: CCSS and the Standards of Mathematical Practice

Building A House

We need to know how to design the

house.

Page 6: CCSS and the Standards of Mathematical Practice

Building a House

We need to be able to communicate with

others about our ideas.

Page 7: CCSS and the Standards of Mathematical Practice

Building a House

We need to be able to represent the cost

of building a new house.

Page 8: CCSS and the Standards of Mathematical Practice

Building a House

We need to know how and when to use

the right tools.

Page 9: CCSS and the Standards of Mathematical Practice

Building a House

We need to work with precision.

Page 10: CCSS and the Standards of Mathematical Practice

Building a House

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

Page 11: CCSS and the Standards of Mathematical Practice

Building a House

We can use what we know to add on to

the house.

Page 12: CCSS and the Standards of Mathematical Practice

Comparison

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

Page 13: CCSS and the Standards of Mathematical Practice

TED Talks: Dan Meyer

Page 14: CCSS and the Standards of Mathematical Practice

Mathematical Practice #1

Make sense of problems and persevere in solving them.

Page 15: CCSS and the Standards of Mathematical Practice

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.

Page 16: CCSS and the Standards of Mathematical Practice

Mathematical Practice #2

Reason abstractly and quantitatively.

Page 17: CCSS and the Standards of Mathematical Practice

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.

Page 18: CCSS and the Standards of Mathematical Practice

Mathematical Practice #3

Construct viable arguments and critique the reasoning of others.

Page 19: CCSS and the Standards of Mathematical Practice

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.

Page 20: CCSS and the Standards of Mathematical Practice

Mathematical Practice #4

Model with mathematics.

Page 21: CCSS and the Standards of Mathematical Practice

Mathematical Practice #4

Model with mathematics.

Strategies

• Pose problems connected to previous

concepts.

• Provide a variety of real world contexts.

• Use intentional representations.

Page 22: CCSS and the Standards of Mathematical Practice

Mathematical Practice #5

Use appropriate tools strategically.

Page 23: CCSS and the Standards of Mathematical Practice

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.

Page 24: CCSS and the Standards of Mathematical Practice

Mathematical Practice #6

Attend to precision.

Page 25: CCSS and the Standards of Mathematical Practice

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.

Page 26: CCSS and the Standards of Mathematical Practice

Mathematical Practice #7

Look for and make use of structure.

Page 27: CCSS and the Standards of Mathematical Practice

Mathematical Practice #7

Look for and make use of structure.

Strategies

• Ask questions about the application of

patterns.

• Highlight different approaches for solving

problems.

Page 28: CCSS and the Standards of Mathematical Practice

Mathematical Practice #8

Look for and express regularity in repeated

reasoning.

Page 29: CCSS and the Standards of Mathematical Practice

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.

Page 30: CCSS and the Standards of Mathematical Practice

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Resources

Page 31: CCSS and the Standards of Mathematical Practice

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Resources

Page 32: CCSS and the Standards of Mathematical Practice

Resources

http://sqworl.com/0lpgop