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					Common Core State Standards
      Mathematics
Goal of Common Core Standards

• Helping students become college
  and career ready.

** College and career ready students are
   able to apply the concepts in
   creative ways to solve more advanced
   problems and not just memorize
   step(s) to solve a problem.
What’s Are the Big Shifts in the New Standards?


  1. FOCUS
     • There are fewer standards & less material to cover.


  2. COHERENCE
     • The relationships between math topics, and therefore, the big
       picture are clearer.

  3. MATHEMATICAL PRACTICES
     • Help to define what it means to think mathematically, or to be
       mathematically proficient.


•Provide clear signposts along the way toward the goal of college and
career readiness for all students
SHIFT ONE: FOCUS
 • Reduced content standards per grade level to
  significantly narrow the scope of content and
  deepen how time and energy is spent in the
  math classroom

 • Focus deeply only on what is emphasized in the
  standards, so that students gain strong
  foundations
SHIFT TWO: COHERENCE

 • Carefully connects the learning within and
  across grades so that students can build new
  understanding onto foundations built in
  previous years

 • Begin to count on solid conceptual
  understanding of core content and build on it.
  Each standard is not a new event, but an
  extension of previous learning
Content Domains Grades K - 12
     K             1        2       3       4      5       6         7         8          HS


  Counting                                                  Ratios &                    Algebra
     &                                                    Proportional     Functions
 Cardinality                                              Relationships                    &

               Operations and Algebraic Thinking          Expressions and Equations    Functions



           Number and Operations in Base Ten                                           Number
                                                                   The
                                                                  Number                   &
                                                                  System
                                  Number and Operations                                Quantity
                                       Fractions


                                                                                        Statistics
                       Measurement & Data                 Statistics & Probability          &
                                                                                       Probability




                                        Geometry                                       Geometry
SHIFT THREE: Mathematical Practices

   Describe the thinking processes, habits of mind
   and dispositions that students need to develop a
   deep, flexible, and enduring understanding of
   mathematics
Working Toward Greater Focus and Coherence

                 Highlight the
   Avoid the     relatedness
  problem of      of math at        Define
  “mile wide     each grade-     Mathematical
  and an inch     levels and       Rigor and
    deep”        across grade     Proficiency
                     spans


    FOCUS        COHERENCE        PRACTICES
Standards for Mathematical Practices K-12

    Mathematically Proficient Students
     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.
         What Do They Mean?

 Please get into groups of 4

 Each member will read 2 of the 8 practices

 Share your learning with your group members

 Walk around to add your learning to charts
     The Big Idea?




8 Mathematical Practices
    Integrating the Standards of
       Mathematical Practice

 Several of the mathematical practice
 standards are evident within one
 lesson/problem
 Engage students in multiple practices
 simultaneously
Integrating the Standards of Mathematical
                 Practice




How teachers engage students
    in mathematical habits of
            minds?
    Grade 4 Sample Question
 Ms. Thompson wants to make a rabbit pen in a
  section of her lawn. Her plan for the rabbit pen
  includes the following:
   It will be in the shape of a rectangle.
   It will take 24 feet of fence material to make.
    Each side will be longer than 1 foot.
   The length and width will measure whole
    feet.
  *Come up with at least three representations of
    Ms. Thompson’s rabbit pen
             Possible Answers

Possible representations for Ms. Thompson’s rabbit
  pens are rectangles with the dimensions of
  2 by 10            3 by 9               4 by 8
            5 by 7             6 by 6


       Mathematical Practices Demonstrated:

                       1, 2, 3, 4, 5, 6
Common Core and Envision Math

 Use materials included in the
  program for content support

 Use what you know about the 8
  Mathematical Practices to
  transform your instruction and
  rethink the way you assess your
  students
 Teacher resources are available in
  pearsonsuccessnet.com to
  transition to Common Core
  Standards
How to Access Resources from
  Pearsonsuccessnet.com
        A TypicalQuestion

 Find the perimeter


       4ft


                       8ft
        A Better Question

 Ms. Thompson wants to make a rabbit pen
 in a section of her lawn. Her plan for the
 rabbit pen includes the following:
  It will be in the shape of a rectangle.
  It will take 24 feet of fence material to
   make. Each side will be longer than 1
   foot.
  The length and width will measure whole
   feet.
            What Now?

 Think about the current Topic you are
 on
 Design lesson(s) or draft some sample
 questions that will require students to
 demonstrate some or all of the 8
 Mathematical Practices

				
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posted:10/5/2012
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