Number Talks - Georgia Mathematics Educator Forum

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Transcript Number Talks - Georgia Mathematics Educator Forum

CCGPS Mathematics
1st Grade Update Webinar
Unit 1: Creating Routines Using Data
August 27, 2013
Update presentations are the result of collaboration between members of
2012 and 2013 Unit Review and Revision Teams
Microphone and speakers can be configured by going to:
Tools – Audio – Audio setup wizard
Turtle Toms- [email protected]
Elementary Mathematics Specialist
These materials are for nonprofit educational purposes only. Any other use may
constitute copyright infringement.
What are update webinars?
• Update on the work of the 2013 Resource Revision Team
 Overall revisions
 Unit 1 revisions
• Addressing areas of concern
• Resources
1st Grade Math Resource Revision Team
Brook Bauer- Teacher, Liberty County Schools
Brian Burnaugh- Instructional Coach, Cobb County Schools
Donna Colvin- Teacher, Jackson County Schools
Adrienne Kidd– Teacher, Lumpkin County Schools
Daphney King-Teacher, Thomas County Schools
Webinar Guide
 Grade Level Overview
 Unit 1 Overview
 Changes to Unit 1 tasks
 Share resources
8 Standards for Mathematical Practice
From the website: http://mathcoachscorner.blogspot.com/2013/07/embedding-ccss-mathematical-practices.html
Standards for
Mathematical
Practice
Describe how
students will
practice these
in Unit 1
EQs
Number Talks
Number Talks
Number Talks
•
•
Daily classroom conversations and discussion
centered upon purposefully planned computation
problems.
Provide a powerful avenue for developing “efficient,
flexible, and accurate computation strategies that
build upon the key foundational ideas of
mathematics.”
Number Talks
Number
Talks
Don’t have the book?
Look and learn here:
http://insidemathematics.org/i
ndex.php/number-talks
http://www.mathperspectives.c
om/num_talks.html
http://www.mathsolutions.com
/index.cfm?page=wp10&crid=5
53
http://schoolwires.henry.k12.ga
.us/Page/37071
http://www.cobbk12.org/bullar
d/NumberTalksK-2.pdf
Types of Tasks
Selected Terms & Symbols
Task Name
Task List
Specific
standards for
each task are
listed
Task 1: Making
sets of
more/less/same
Task 2: How
many are here
today?
Task Type/
Grouping Strategy
Scaffolding Task
Individual or Partner
Constructing Task
Large Group
Task 3: Group it
and Move it
Practice Task
Large Group, Partners
Task 4: Spin and
Represent
Performance Task
Individual or Partner
Scaffolding/Constructing
Task
Large Group, Individual
Scaffolding Task
Large Group, Individual
Task 5: Creating
a Number Line
Task 6: Hop To
It
Task 7:
Exploring the 99
Chart
FAL
Task 8:
Graphing with
Classmates
Constructing Task
Large Group, Partners
Performance
Assessment
Performance Task
Large Group, Individual
Content
Standard
MCC1.NBT.1
MCC1.NBT.1
MCC1.MD.4
MCC1.NBT.1
MCC1.MD.4
MCC1.NBT.1
MCC1.NBT.1
MCC1.NBT.1
Make and Compare sets of More/Less/Same
Represent Numbers up to 100 in tens and ones
Collect and represent data with tally marks and
charts
Compose Numbers to 30 with an understanding of
place value
Compose numbers using ten frames and tally marks
with an understanding of more and less
Understand the magnitude of numbers to 50and
represent them on a number line
Skip Counting on Number Lines
MCC1.NBT.1
Exploring the 99 chart and patterns
MCC1.NBT.1
MCC1.MD.4
MCC1.NBT.1
MCC1.MD.4
Practice Task
Partners
MCC1.NBT.1
MCC1.MD.4
Task 10: Bunch
of Bananas
Performance Task
Individual or Partners
MCC1.NBT.1
MCC1.MD.4
Task 11: Oh No
99 Chart!
Practice Task
Small Group
Task 12:
Favorite Sports
Performance Task
Individual
Task 9: Trashcan
Basketball
Content Addressed
MCC1.NBT.1
MCC1.NBT.1
MCC1.MD.4
FAL: Place Value
Collect and represent data with tally marks and
charts
Collect and represent data with tally marks and
charts
Compose sets with a deep understanding of
numbers
Counting forward and backward on a 99 chart
Collect and represent data with tally marks and
charts
Unit 1
Tasks
SMP’s
Unit 1
Tasks
Common
Misconceptions
Unit 1
Tasks
• Amount of time to compete tasks
will vary
• No expectation that every task in
the unit will be completed
Writing in Math
Standards for Mathematical
Practice require students to
express their thinking and record
their strategies in written form.
Stands for Mathematical Practice
 SMP 1 – Students are required to explain their
thinking when making sense of a problem.
 SMP 2 – Students are required to construct viable
arguments and critique the reasoning of others.
Why Write in Math Class?
Marilyn Burns (2004):
“Writing in math class supports learning because it
required students to organize, clarify, and reflect on
their ideas—all useful processes for making sense of
mathematics. In addition, when students write, their
papers provide a window into their understandings,
their misconceptions and their feelings about the
content.”
Math Journals
Purposes:
 Record strategies and solutions
 Reflect upon learning
 Explain and justify thinking
 Provide a chronological record of student math thinking
throughout the year
 Means of assessment to guide future instruction
Resources
 Wikispace-all the math goodness you need (except
for the frameworks) is kept on the math wikispace
provided by the GaDOE. http://ccgpsmathematicsk5.wikispaces.com/
 Please sign up for the Mathematics K-5 list [email protected]
 Van De Walle- fresh off the press there is a new
edition that is aligned to CCSS
 One of the best websites out there!

http://www.illustrativemathematics.org/standards/k8
New to 1st Grade? Begin at
www.georgiastandards.org
Select the CCGPS ELA/Math Tab
Select the Mathematics option under Browse
CCGPS
Select the K-5
option in the Mathematics section
Select the 1st Grade option
Select the
Grade Level Overview or Unit
Why a 1st Grade Level Overview?
• Designed to provide clarification of CCGPS
Mathematics
• Organized to link together many sources of
information pertinent to CCGPS Kindergarten
Math, such as:
• Standards
• Classroom
• Unit use
• Resources
Formative Assessment Lessons (FALs)
• Formative Assessment Lessons (“Classroom
Challenges”)
• Developed by the Shell Center and/or KY math
collaborative
• Embedded in the FY14 Units
• Usually 2/3 into a unit
• Intended to guide instructional decisions for the
rest of the unit
• Not intended to be graded, instead used for
feedback
• Plan is to have at least one per unit
• FAL webinar coming!
Assessment
July 22, 2013 – State School Superintendent Dr. John Barge and Gov.
Nathan Deal announced today that Georgia is withdrawing from the
Partnership for Assessment of Readiness for College and Careers (PARCC)
test development consortium.
Instead, the Georgia Department of Education (GaDOE) will work with
educators across the state to create standardized tests aligned to Georgia’s
current academic standards in mathematics and English language arts for
elementary, middle and high school students. Additionally, Georgia will seek
opportunities to collaborate with other states.
The press release in its entirety can be found at: http://www.gadoe.org/External-Affairs-andPolicy/communications/Pages/PressReleaseDetails.aspx?PressView=default&pid=123
Assessment
As GaDOE begins to build new assessments, please note that our Georgia
assessments:
will be aligned to the math and English language arts state standards;
will be high-quality and rigorous;
will be developed for students in grades 3 through 8 and high school;
will be reviewed by Georgia teachers;
will require less time to administer than the PARCC assessments;
will be offered in both computer- and paper-based formats; and
will include a variety of item types, such as performance-based and multiplechoice items.
The press release in its entirety can be found at: http://www.gadoe.org/External-Affairs-andPolicy/communications/Pages/PressReleaseDetails.aspx?PressView=default&pid=123
Assessment
We will continue to work with Georgia educators, as we have in
the past, to reconfigure and/or redevelop our state assessments
to reflect the instructional focus and expectations inherent in our
rigorous state standards in language arts and math.
This is not a suspension of the implementation of the CCGPS in
language arts and math.
~ Dr. John Barge
(excerpt from a letter to state Superintendents from Dr. Barge)
Resources
• GaDOE Resources
 Fall 2011 CCGPS Standards for Mathematical Practices Webinars https://www.georgiastandards.org/Common-Core/Pages/Math-PL-Sessions.aspx
 Spring 2012 CCGPS Mathematics Professional Learning Sessions on GPB https://www.georgiastandards.org/Common-Core/Pages/Math-PL-Sessions.aspx
2012 – 2013 CCGPS Mathematics Unit-by-Unit Webinar Series https://www.georgiastandards.org/Common-Core/Pages/Math-PL-Sessions.aspx
Georgia Mathematics Teacher Forums - http://ccgpsmathematicsk-5.wikispaces.com/
CCGPS Mathematics Frameworks and Comprehensive Course Overviews https://www.georgiastandards.org/Common-Core/Pages/Math-K-5.aspx
Mathematics Formative Assessment Lesson Videos https://www.georgiastandards.org/Common-Core/Pages/Mathematics-FormativeAssessment-Lessons-Videos.aspx
Assessment Resources and Instructional Support Resources
The resource sites designed to support the instructional and assessment needs of teachers.
• CCGPS Frameworks are "models of instruction" designed to support teachers in the implementation of the Common Core
Georgia Performance Standards (CCGPS). The Georgia Department of Education, Office of Standards, Instruction, and Assessment
has provided an example of the Curriculum Map for each grade level and examples of Frameworks aligned with the CCGPS to
illustrate what can be implemented within the grade level. School systems and teachers are free to use these models as is; modify
them to better serve classroom needs; or create their own curriculum maps, units and tasks.
• The Teacher Resource Link (TRL) is an application that delivers vetted and aligned digital resources to Georgia’s
teachers. TRL is accessible via the GaDOE “tunnel” in conjunction with LDS using the single sign-on process. The content is aligned
to Common Core Georgia Performance Standards, Georgia Performance Standards, and National Education Technology Standards
and pushed to teachers based on course schedule.
• Georgia Online Assessment (OAS) System Teachers can use the OAS as a tool for Assessment for Learning. Student
results on assessments help teachers identify learner needs and strengths and inform instructional practices. Robust reports also
allow teachers to communicate with students and parents about learner goals, intentions, and outcomes. The OAS helps with a cycle
of assessments, instruction, feedback, and communication that allows teachers, students, and parents to be confident with
instructional success. Teachers will be particularly interested in the Formative Item Bank.
• Webinar support and links direct teachers to archived webinars as well as links to join or view
upcoming webinars.
• Course/Grade Level WIKI spaces- post questions about a unit, a standard, the course, or any
other CCGPS math related concern. Shared resources and information are also available at the
site.
• CRCT Resources available to provide more information for the CRCT as provided by the GaDoe.
• Formula Sheet the formula sheet found on the GaDoe website used on the CRCT.
• Georgiastandards.org a wealth of instructional links and information. Open the Common Core
GPS tab at the top to access specific math resources for CCGPS.
Resource List
The following list is provided as a
sample of available resources and
is for informational purposes only.
It is your responsibility to
investigate them to determine
their value and appropriateness
for your district. GaDOE does not
endorse or recommend the
purchase of or use of any
particular resource.
Resources
• CCGPS Resources
 SEDL videos - http://bit.ly/RwWTdc
or http://bit.ly/yyhvtc
 Illustrative Mathematics - http://www.illustrativemathematics.org/
 Dana Center's CCSS Toolbox - http://www.ccsstoolbox.com/
 Common Core Standards - http://www.corestandards.org/
 Tools for the Common Core Standards - http://commoncoretools.me/
 Phil Daro talks about the Common Core Mathematics Standards - http://bit.ly/URwOFT
 LearnZillion - http://learnzillion.com/
 Flip Book- http://katm.org/wp/wp-content/uploads/flipbooks/1stFLIPpdf2.pdf
• Assessment Resources
Online Assessment System - http://bit.ly/OoyaK5
MAP - http://www.map.mathshell.org.uk/materials/index.php
 Illustrative Mathematics - http://illustrativemathematics.org/
 CCSS Toolbox: PARCC Prototyping Project - http://www.ccsstoolbox.org/
 Smarter Balanced - http://www.smarterbalanced.org/smarter-balanced-assessments/

Flipbooks
•
•
•
•
Remember, NC is using exclusive def. of trapezoid
The Flipbooks offer clarification
Very large file (slow loading)
http://katm.org/wp/wpcontent/uploads/flipbooks/1stFLIPpdf2.pdf
Resources
• Professional Learning Resources
 Inside Mathematics- http://www.insidemathematics.org/
 Annenberg Learner - http://www.learner.org/index.html
 Edutopia – http://www.edutopia.org
 Teaching Channel - http://www.teachingchannel.org
 Ontario Ministry of Education - http://bit.ly/cGZlce
Achieve - http://www.achieve.org/
Feedback
http://ccgpsmathematicsk-5.wikispaces.com/
Turtle Toms- [email protected]
Elementary Mathematics Specialist
1st Grade Math Resource Revision Team
Brook Bauer- Teacher, Liberty County Schools
Brian Burnaugh- Instructional Coach, Cobb County Schools
Donna Colvin- Teacher, Jackson County Schools
Adrienne Kidd– Teacher, Lumpkin County Schools
Daphney King-Teacher, Thomas County Schools
Thank You!
Please visit http://ccgpsmathematicsk-5.wikispaces.com/ to share your feedback, ask
questions, and share your ideas and resources!
Please visit https://www.georgiastandards.org/Common-Core/Pages/Math.aspx
to join the K-5 Mathematics email listserve.
Follow on Twitter!
Follow @GaDOEMath
Turtle Toms
Program Specialist (K-5)
[email protected]
These materials are for nonprofit educational purposes only.
Any other use may constitute copyright infringement.