Common Core Standards For Mathematics

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Common Core Standards ForMathematics

• MATHEMATICAL PRACTICES

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45 States and District of Columbia have adopted
CCSS
Quick Update
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FCUSD Implementation Plan (review)
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Two Types of Math Standards Within Common Core
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Common Core Standards Overview
Domain
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Standards for Mathematical Practice
HABITS OF MIND
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CCSS Mathematical Practices
Standards for Mathematical Practice

• 1. Make sense of problems and persevere in
  solving them
• 2. Reason abstractly and quantitatively.
• 3. Construct viable arguments and critique the
  reasoning of others.
• 4. Model with mathematics.
• 5. Use appropriate tools strategically.
• 6. Attend to precision.
• 7. Look for and make use of structure.
• 8. Look for and express regularity in repeated
  reasoning.

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PLAY
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1. MAKE SENSE OF PROBLEMS AND PERSEVERE IN
SOLVING THEM.

• Students need to develop a puzzlers
  disposition
• Give them a chance to puzzle things out using
  what they know
• Remember mysteries are fun but not if someone
  tells you the answer before you even try to solve
  it!
• Too often students jump in to attempt a solution
  too fast.
• They just want to do something to the numbers.
• Modify questions so they ask for more thought and
  not only for a numeric answer.

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Common type of fraction problem
What fraction of the bar is shaded blue?

What kind of mathematical thinking was required?

• Procedural

• Definitional

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Promoting Mathematical Thinking
What fraction of the white strip is the pink
strip?
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What kind of mathematical PRACTICES did the
fraction problems require?

• Math Practice 1 Make sense of problems and
  persevere in solving them.
• Math Practice 2 Reason abstractly and
  quantitatively.
• Math Practice 3 Construct viable arguments and
  critique the reasoning of others.
• Math Practice 5 Use appropriate tools
  strategically.
• Math Practice 6 Attend to precision.
• Much more attention than mathematical reasoning
  standards

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Finding Mathematical Practices in our current
program

• Transitioning to Mathematical Practices with our
  current resources
• Look at a problem-solving lesson in your TE
• Tweak the lesson to make it more aligned to the
  mathematical practices.
• What if you let the students work on the problem
  before you showed them each step to take?

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Question from our book

• What number do these base ten blocks represent?

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Incorporating Math Practices
Can you find a way to make 124 using only tens
and ones? Can you find a different way? Find
as many ways as you can to make 124 using
hundreds, tens, and ones. If you think you have
found all the ways, explain how you know your
list is complete?
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3. Construct viable arguments and critique the
reasoning of others.

• Students talk about math and explain their
  thinking.
• They construct arguments using concrete referents
  such as objects, drawings, diagrams, actions.
• Students at all grades can listen or read the
  arguments of others, decide whether they make
  sense, and ask useful questions to clarify or
  improve the arguments.
• One kind of task that naturally pulls children
  to explain is a How many ways can you task.

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Textbook activity

• In your TE find a Talk About It exercise.
• Work with a partner if necessary, how can you
  make it a more mathematically rich discussion?
• Mathematical Practices 3
• Construct viable arguments and critique the
  reasoning of others.

What are the factors for 12?
Find two numbers whose factors include 2, 3, 4,
6. How are the two numbers related?
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Putting it into Practice

• Work to develop new habits of mind
• Give kids the background necessary to puzzle
  through problems
• Use the resources you have tweak it here and
  there
• Lots of information on the internet
• Continuing professional development through
  district and Sacramento County Office of
  Education

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For more information

• Common Core State Standards initiative
• www.corestandards.org
• California Common Core Standards
• www.cde.ca.gov/ci/cc/
• Assessment
• www.smarterbalance.org
• Mathematical Practices
• http//thinkmath.edc.org

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Common Core State Standards

• Exit Ticket
• I learned
• I valued
• Id like more information about
• Comments

Thank you!