ccss and the standards of mathematical practice

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

Resources

http://sqworl.com/0lpgop