NCCTM 3-5 Updates - NC Mathematics - home

DPI 3-5 Updates
NCCTM
State Mathematics Conference
Kitty Rutherford [email protected]
Amy Scrinzi [email protected]
http://www.ncdpi.wikispaces.net/
12/27/11 • page 2
http://www.ncdpi.wikispaces.net/
12/27/11 • page 3
www.corestandards.org
Critical Areas
12/27/11 • page 5
Grade Level
Overview
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Standards!
K-8 Domains
Domains
K
1
2
3
4
5
6
7
Counting and Cardinality
Operations and Algebraic Thinking
Number and Operations in Base Ten
Measurement and Data
Geometry
Number and Operations - Fractions
Ratios and Proportional Relationships
The Number System
Expressions and Equations
Statistics and Probability
Functions
12/27/11 • page 8
8
Standards for Mathematical Practices
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.
Mathematical practices describe the
habits of mind of mathematically
proficient students…
•  Who is doing the talking?
• Who is doing the thinking?
•  Who is doing the math?
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12/27/11 • page 11
Make sense of
problems and
preserve in solving
them.
12/27/11 • page 12
Instructional Task
•  What rectangles can be made with a
perimeter of 30 units? Which rectangle
gives you the greatest area? How do you
know?
•  What do you notice about the relationship
between area and perimeter?
Compared to….
5
10
What is the area of this rectangle?
What is the perimeter of this rectangle?
Crosswalk Documents
The crosswalks reflect a comparison
between the Common Core State Standards
and the North Carolina Standard Course of
Study .They inform educators about how the
current standards align with the CCSS
Standards.
To access all of the Crosswalks K-12, go to the NCDPI ACRE
website:
http://www.ncpublicschools.org/acre/standards/common
-core-tools/
12/27/11 • page 15
Mathematics Crosswalk
CAUTION!!
CONTENT APPEARING TO BE
THE SAME MAY ACTUALLY BE
DIFFERENT!!
The CCSS Requires CLOSE Reading!!!
12/27/11 • page 17
Unpacking Documents
The purpose of the Unpacking Documents is to increase
student achievement by ensuring educators understand
the new standards.
The “unpacking” of the standards done in these documents
is an effort to answer a simple question “What does this
standard mean that a student must know and be able to
do?” and to ensure the description is helpful, specific and
comprehensive for educators.
To access all of the Unpacking Documents K-12, go to the NCDPI
ACRE website:
http://www.ncpublicschools.org/acre/standards/common
-core-tools/
12/27/11 • page 18
Verb- Understanding
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Avoids too much emphasis on procedure
Facilitates flexibility
Use of analogous problems
Stronger representations
Justifies conclusions
Application to practical situations
Mindful use of technology
Accurate and clear explanation
Metacognition
Mathematics Unpacking
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Mathematics Unpacking
12/27/11 • page 21
Mathematics Unpacking
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Common Core Glossary
Table 1. Common multiplication and division situations
K-5 Units
Students learn mathematics by exploring
mathematically-rich tasks and sharing
strategies, ideas, and approaches with
one another. (practices)
The phases of the lesson:
•  Engage
•  Explore
•  Explain
•  Elaborate
12/27/11 • page 24
Format of the Lessons
The phases of the lesson:
•  Engage- Brief opening activity
•  Explore- Mathematically-rich task
•  Explain- Discussion of task and concepts
•  Elaborate- Follow-up activity
•  Evaluate- description of formative and
summative assessments
12/27/11 • page 25
Unit Focus
Third Grade
Geometric measurement: understand
concepts of area and relate area to
multiplication and to addition.
Geometric measurement: recognize
perimeter as an attribute of plane figures
and distinguish between linear and area
measures.
12/27/11 • page 26
3rd Grade
•  Draw a few 4x4 geoboards on your paper
•  Make regions that have an
Area of 8 square units.
•  Share with people around you
–  Similarities? Differences?
12/27/11 • page 27
Unit Focus
Fourth Grade
Extend understanding of fraction
equivalence and ordering.
Build fractions from unit fractions by
applying and extending previous
understandings of operations on whole
numbers.
12/27/11 • page 28
4th Grade
•  Fraction Puzzles
•  If the whole square is 1
square inch what is the area
of each section?
•  What if the whole square is
2 ½ square inches?
12/27/11 • page 29
Unit Focus
Fifth Grade
Apply and extend previous understandings
of multiplication and division to multiply
and divide fractions.
Will be posted in January!
12/27/11 • page 30
5th Grade
•  Canned Food Drive
•  Mrs. Rutherford’s class is collecting
canned food for the needy. By
Wednesday they want to be halfway to
their goal. After Tuesday they are 1/3 of
the way to their goal for Wednesday. How
much of their total goal have they
reached?
–  Draw a picture to prove your answer
12/27/11 • page 31
5th Grade (continued)
•  If their goal is 30 cans, how much had they
collected after Tuesday?
–  Prove your answer with a picture and an
equation.
12/27/11 • page 32
Unit Focus
Kindergarten
Understanding addition as putting together and
adding to, and understand subtraction as
taking apart and taking from.
12/27/11 • page 33
Unit Focus
First Grade
Extend the counting sequence.
Understand place value.
Use place value understanding and
properties of operations to add and
subtract.
Add and subtraction within 20.
12/27/11 • page 34
Unit Focus
Second Grade
Represent and solve problems involving
addition and subtraction
Understand place value.
Use place value understanding and
properties of operations to add and
subtraction.
12/27/11 • page 35
Timeline
Common Core
Mathematics Implementation
Common Core State Standards Adopted June, 2010
Year
Standards To Be Taught Standards To Be Assessed
2011 – 2012
2003 NCSCOS
2003 NCSCOS
2012 – 2013
CCSS
CCSS (NC)
2013 – 2014
CCSS
CCSS (NC)
2014 – 2015
CCSS
CCSS (SBAC)
Mathematics Claims
The Smarter Balanced Assessment
Consortium has released a document
outlining four claims about what
mathematically proficient students can do.
The claims are a synthesis of the
Standards for Mathematical Practice, and
form the guiding principles to be used in
creating assessments.
Mathematics Claim #1
Students can explain and apply
mathematical concepts and
carry out mathematical
procedures with precision and
fluency.
Mathematics Claim #2
Students can frame and solve a
range of complex problems in
pure and applied mathematics.
Mathematics Claim #3
Students can clearly and precisely
construct viable arguments to
support their own reasoning and
to critique the reasoning of
others.
Mathematics Claim #4
Students can analyze complex,
real-world scenarios and can use
mathematical models to interpret
and solve problems.
Grade 4 SUMMATIVE ASSESSMENT TARGETS
Providing Evidence Supporting Claim #2 – Problem Solving
http://www.k12.wa.us/smarter/
December 1, 2011
Greensboro Coliseum
Greensboro, NC
September 12, 2011
Holiday Inn Express
N. Wilkesboro
Region 5
October 4, 2011
NCSBA Building
Raleigh, NC
Region 3
November 15, 2011
Vernon James Research Ctr
Plymouth, NC
Region 1
Region 7
September 19, 2011
A-B Tech
Candler, NC
Region 8
Fall
RESA PD
November 14, 2011
UNC Charlotte
Charlotte
Region 6
November 9, 2011
Sandhills RESA
Moore County
Region 4
October 17, 2011
UNCW
Wilmington, NC
Region 2
May 3, 2012
Holiday Inn Express
N. Wilkesboro
March 22, 2012
Greensboro Coliseum
Greensboro, NC
Region 5
May 2, 2012
NCSBA Building
Raleigh, NC
Region 3
May 8, 2012
Vernon James Research Ctr
Plymouth, NC
Region 1
Region 7
April 24, 2012
A-B Tech
Candler, NC
Region 8
May 7, 2012
UNC Charlotte
Charlotte
Region 6
Tentative Dates
Spring RESA PD
April 19, 2012
Sandhills RESA
Moore County
Region 4
May 7, 2012
UNCW
Wilmington, NC
Region 2
Presidential Awards for Excellence
in Mathematics and Science
Teaching
2011 State Awardee
Elementary Mathematics
Amanda Northrup
Haywood County
Presidential Awards for Excellence in
Mathematics and Science Teaching
2011 State Finalists
Elementary Mathematics
Jesse Blevins
Catawba County
Jenifer Riordan
Cabarrus County
Nancy Trollinger
McDowell County
Presidential Awards for Excellence
in
Mathematics and Science Teaching
www.paemst.org
Nomination
Deadline
Application
Deadline
Elementary Teachers
Grades K - 6
April 1, 2012
May 1, 2012
Secondary Teachers
Grades 7 - 12
April 1, 2013
May 1, 2013
Year
Who Can Apply
2012
2013
Elementary Mathematics
Add-on Licensure
•  18-hour Graduate program (6 courses)
•  Participating Universities
–  East Carolina University
–  Appalachian State University
–  NC State University
–  UNC Chapel Hill
–  UNC Charlotte
–  UNC Greensboro
–  UNC Wilmington
•  Dr. Sid Rachlin ([email protected])
Math Contests
•  Noetic Learning Math Contests (Grades 2 – 5)
http://www.noetic-learning.com/mathcontest/details.jsp
•  NC Math Competition (NCMC) (Grades 3 – 8)
http://ncmathcompetition.org/
•  Perennial Math (Grades 4 – 8)
http://www.perennialmath.com/
•  Math Olympiads (Grades 4 – 8)
http://www.moems.org/
•  Math League Press (Grades 4 – 12)
www.mathleague.com
MSP Grants
Beverly Vance, Science Section Chief, DPI
[email protected]
Webinars
Please let us know topics that you would
like to see addressed or discussed during
the webinars. (tentative dates)
– November 17th
– January 10th
– February 9th
– March 8th
All webinars will be from 3:30 – 4:30
QUESTIONS
COMMENTS
Contact Information
Kitty Rutherford
[email protected]
Amy Scrinzi
[email protected]
Website:
www.ncdpi.wikispaces.net