1. CCGPS Mathematics
Unit-by-Unit Grade Level Webinar
Fifth Grade
Unit 1: Order of Operations and Whole Numbers
May 10, 2012
Session will be begin at 3:15 pm
While you are waiting, please do the following:
Configure your microphone and speakers by going to:
Tools – Audio – Audio setup wizard
Document downloads:
When you are prompted to download a document, please choose or
create the folder to which the document should be saved, so that you
may retrieve it later.

2. Clearing up confusion
• This webinar focuses on CCGPS content specific to one grade level
and one unit within that grade.
• For information about CCGPS across a single grade span, please
access the list of recorded GPB sessions on Georgiastandards.org.
• For information about the Standards for Mathematical Practice,
please access the list of recorded Blackboard sessions from Fall
2011 on GeorgiaStandards.org.
• CCGPS is taught and assessed from 2012-2013 and beyond.
• A list of resources will be provided at the end of this webinar and
this list has also been included in your document downloads.

3. CCGPS Mathematics
Unit-by-Unit Grade Level Webinar
Grade Five
Unit 1: Order of Operations and Whole Numbers
May 10, 2012
Turtle Gunn Toms– tgunn@doe.k12.ga.us
Elementary Mathematics Specialist
These materials are for nonprofit educational
purposes only. Any other use may constitute
copyright infringement.

4. Welcome!
• Thank you for taking the time to join us in this
discussion of Unit 1.
• At the end of today’s session you should have at least 3
takeaways:
 The big idea of Unit 1
 Something to think about… food for thought
 How might I prepare for the start of school next year?
 What is my conceptual understanding of the material in this unit?
 a list of resources and support available for CCGPS
mathematics

5. • Please provide feedback at the end of today’s session.
Feedback helps us all to become better teachers and
learners.
Feedback helps as we develop the remaining unit-by-unit
webinars.
Please visit http://ccgpsmathematicsK-5.wikispaces.com/
to share your feedback. This is our “baby”wiki!
• After reviewing the remaining units, please contact us
with content area focus/format suggestions for future
webinars. Wiki, anyone?
Turtle Gunn Toms– tgunn@doe.k12.ga.us
Elementary Mathematics Specialist

6. Welcome!
• For today’s session:
Did you read the Fifth Grade mathematics CCGPS?
 Did you read Fifth Grade Unit One?
 Make sure you download and save the documents
from this session.
Ask questions and share resources/ideas for the
common good.
Join the K-5 wiki. If you are wondering what a wiki
is, we’ll discuss this near the end of the session.

7. Remember, Turtle, give someone a fish
and they eat for a day.
Teach them to fish and
they’ll have no further use for you.

8. Activate your Brain
Place any of the four operation signs
between the nine figures so that they equal
100.
1 2 3 4 5 6 7 8 9 = 100
Write to help explain your best thinking
using words, numbers, or pictures.

9. What’s the big idea?
Deepen understanding of
number, and its usefulness in
whole number operations.

10. Navigating a Unit
Overview
Standards
Enduring Understandings
Essential Questions
Concepts and Skills to Maintain
Selected Terms and Symbols
Strategies for Teaching and Learning
Common Misconceptions
Evidence of Learning
Tasks

11. New to the Frameworks?
• Enduring Understandings
• Essential Questions
• Common Misconceptions
• Overview

12. Brand Spanking New!

13. Navigating a Unit
What’s Different/What’s the Same?
•SMP’s (analyzing, estimating, reasoning, describing patterns,
defending, discussing, peer feedback, contentious discourse,
•modeling, etc.)
•Grade Level Overview
•Collaborative skills (How collaborative are
•your collaborative activities?)
•Productive Struggle
•Journaling/Notebook
•Development of own understanding
•(yours and students’)
•The regular use of routines is important to the development of
students’ number sense, flexibility, fluency, collaborative skills and
communication.

15. Navigating a Unit
Classroom Routines and Rituals
•http://www.edutopia.org/math-social-activity-
cooperative-learning-video
•http://www.edutopia.org/math-social-activity-sel
•http://www.youtube.com/user/responsiveclassroom/vid
eos
•http://www.responsiveclassroom.org/category/category/
first-weeks-school

16. Navigating a Unit
Journaling/Math Workshop
•Downloaded article from Marilyn Burns
http://letsplaymath.net/2007/08/21/writing-to-learn-math/
Sense making for students and teachers
•Downloaded article from NCTM
http://www.youtube.com/user/mitcccnyorg?feature=watch

17. Navigating a Unit
Mathematical Community of Learners-
http://www.insidemathematics.org/index.php/video-tours-of-
inside-mathematics/classroom-teachers/157-teachers-reflect-
mathematics-teaching-practices

18. “Remember that we all climb the hills differently. We take
different paths, different steps, and different journeys. We
each reach landmarks in different ways and at different times.
If we push or pull children up the hill and make them practice
our steps, our ways, or, worse yet, drop them by helicopter at
points of the journey without the climb of getting there, we
may get them up the mountain - but they won’t own it. They
may reach the vista, but they won’t feel empowered by the
climb. They won’t take on the next hill in the journey. And
most important, they won’t have learned how to climb, how
to mathematize their own lived worlds. If, however, we
support their steps, work with them as young
mathematicians, the climbs and the vistas and the joys of the
journey will be theirs forever” C. Fosnot

19. What’s the big idea?
Deepen understanding of number,
and its usefulness in
whole number operations.

20. What do Fifth Grade students bring?
What are they connecting to later?
From 4- Later-
• Deep understanding of addition and • Deep understanding of operations and
subtraction, multiplication and algebraic thinking.
division. • Understanding of scale, orders of
• Useful place value understanding. magnitude.
• Understanding of defining attributes • Understanding of defining attributes
about shape, comparison of shape. of shapes.
• Foundational fractional relationships. • Fluent operations with all numbers.
• Continuation of fluency/algebraic • Continuation of fluency, algebraic
thinking. thinking.
• Measurement/addition/subtraction • Data analysis, relationships.
relationships
• Data analysis

21. Transition Standards?!
• Tasks from Unit 1, Grade 4 work beautifully to
meet MCC.OA.4. You may wish to use them at
the beginning of the year, or before beginning
Unit 4. I’ve also downloaded a task. (thanks, Graham and Mike!)
• Tasks from Units 2-4 work well to meet
MCC4.NF.1, 2, 3, and 4. You may wish to use
them before beginning Unit 4.
• Some districts have chosen to teach these
now, to 4th graders, in anticipation of the shift.

23. What’s Different in Fifth
Grade?
Operations and Algebraic Thinking
• Identify relationships between corresponding terms
Number and Operations in Base Ten
• Rounding decimals to any place
• Use of whole number exponents to denote powers of ten
Number and Operations- Fractions
• Unit fractions (see Third and Fourth grade)
• Fractions as numbers on number line (see Third and Fourth
grade)
• Relating operations with fractions to operations with whole
numbers.

24. Map Changes?
• Units 4 and 5 have switched places.
Where can you find the maps?
Look in Learning Village, K-12 Mathematics,
CCGPS K-5 folder, FIFTH GRADE

25. Critical Areas
In Fifth Grade, instructional time should focus on three
critical areas:
• Developing fluency with addition and subtraction of
fractions, and developing understanding of the
multiplication of fractions and of division of fractions in
limited cases (unit fractions divided by whole numbers
and whole numbers divided by unit fractions)
• Extending division to 2-digit divisors, integrating decimal
fractions into the place value system and developing
understanding of operations with decimals to
hundredths, and developing fluency with whole number
and decimal operations
• Developing understanding of volume.

26. Tools for Teaching Number Sense
• Subitization
• Comparison
• Counting
• One- to- one correspondence
• Cardinality
This is from Kindergarten Unit 1
• Hierarchical Inclusion (shocking!)
• Number Conservation  Dot Cards/TenFrames
 Number Cubes
• Spatial Relationship
 Dominoes
• One and Two More or Less  Cups
• Understanding Anchors  Collections
• Part/Part Whole Relationships  Rekenrek

27. Problem Types- + and -

28. Problem Types- x and ÷

29. Tools for Teaching Strategy

30. More strategy tools…
• http://youtu.be/Y8Bj5KVLmaY
Student-developed strategy using partial
products
• http://powersof10.com/film
Powers of ten visualized! (oldie but goodie)
No youtube in your district? Try this-
http://www.cleanvideosearch.com

31. Developing Number Sense
How do you know what they know?
• First, do no harm:
http://youtu.be/YyMshld9RLM
(Procedural vs conceptual understanding- question and never
assume)
• Determine strategies:
http://youtu.be/Q7E6nu4Zy0I
Thanks, Gatorgyrl82!
http://www.youtube.com/user/Gatorgyrl82?feature=watch

32. Coherence and Focus – Unit 1
What are students coming with?

33. Coherence and Focus – Unit 1
What foundation will have been built?
Where does this understanding lead incoming students?

34. Coherence and Focus – Unit 1
What foundation is being built?
Where does this understanding lead students?

35. Coherence and Focus – Unit 1
View across grade bands
• K-6th
Operations with whole numbers and fractions.
Numbers and their opposites.
• 8th-12th
Everything!

36. Coherence and Focus – Unit 1
What foundation is being built?
Where does this understanding lead students?

37. Examples & Explanations
Downloads:
•Rekenrek packet
•http://gradekcommoncoremath.hcpss.wik
ispaces.net/Rekenreks
•http://letsplaymath.net/2006/12/29/the-
game-that-is-worth-1000-worksheets/

38. Examples and Explanations
Strategy Development

39. Examples & Explanations

40. Examples & Explanations
178+ m = 245 245- m= 178

41. Examples & Explanations
Journaling Revisited:

42. Examples & Explanations
Standards:
http://secc.sedl.org/common_core_videos/
Videos for teachers explaining standards- so far:
5.NF.5b, and 5.NF.7a,b,c with more to come.
Tools:
http://www.dpi.state.nc.us/docs/acre/standards/co
mmon-core-tools/unpacking/math/5th.pdf
Unpacked standards from NC

43. Assessment
How might it look?
Examples of how balanced assessments can be
assembled.
http://map.mathshell.org/materials/tests.php
The target audience for these sample assessments :
1. teachers who have already begun work with
mathematical practice standards
2. designers of future CCSSM-aligned assessments
http://map.mathshell.org/materials/pd.php
(while you are at it, have a look at their Professional Learning!)

44. Assessment
How could it look?
http://nzmaths.co.nz/mathematics-assessment

45. How is a GA county using this?
Thank you, Dr. Snell, and Henry County!

46. Helping to identify concerns…
Thank you, Dr. Snell, and Henry County!

47. What should we do first?
• Read the Grade Level Overview
• Read the unit, and discuss with your
colleagues.
• Complete the culminating task with your
team. Now you know where you are going,
what you need, where your students will end
up.
What do you notice? What do you wonder?
Share your thoughts on the wiki.

48. 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.

49. What in the world is a wiki?
http://ccgpsmathematicsk-5.wikispaces.com/5th+Grade

50. Resources
• Common Core Resources
 SEDL videos - https://www.georgiastandards.org/Common-
Core/Pages/Math.aspx or http://secc.sedl.org/common_core_videos/
 Illustrative Mathematics - http://www.illustrativemathematics.org/
 Dana Center's CCSS Toolbox - http://www.ccsstoolbox.com/
 Arizona DOE - http://www.azed.gov/standards-practices/mathematics-
standards/
 Ohio DOE –http://www.ode.state.oh.us/GD/Templates/Pages/ODE/ODEP
rimary.aspx?page=2&TopicRelationID=1704
Inside Mathematics- http://www.insidemathematics.org/
 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://serpmedia.org/daro-talks/index.html

51. Resources
• Books
 Van De Walle and Lovin, Teaching Student-Centered
Mathematics, 3-5
 Fosnot and Dolk, Young Mathematicians at Work
 Wright, et al, Teaching Number in the Classroom
 Wright, et al, Teaching Number-Advancing children’s skills
and Strategies
 Wright, et al, Developing Number Knowledge
 Parrish, Number Talks
 Shumway, Number Sense Routines (preview!)
 Wedekind, Math Exchanges (preview!)

52. Resources
• Professional Learning Resources
 Inside Mathematics- http://www.insidemathematics.org/
 Edutopia – http://www.edutopia.org
 Teaching Channel - http://www.teachingchannel.org
Annenberg Learner - http://www.learner.org/resources/series32.html
• Assessment Resources
 MARS - http://www.nottingham.ac.uk/~ttzedweb/MARS/
 MAP - http://www.map.mathshell.org.uk/materials/index.php
 PARCC - http://www.parcconline.org/parcc-states
•Start of School- Parents
http://www.youtube.com/watch?v=Vvk4-evBS-8&feature=plcp
(how to support your school and teacher)

53. Phil Daro says:
it’s just the easy part to design and write something down.
The hard part comes… with putting them to work.
And the users have ultimate control over how they’re used.
So no matter how well designed the tool is – the user has control.
And there you see my granddaughter Sadie
using a well-designed crayon.
So , … if all people do, is take out their
old state standards, toss them out, and replace these
common core state standards into those old boxes
NOTHING IS REALLY GOING TO CHANGE
We designed these as a platform for new kinds of instructional systems
We didn’t design these to be thrown into the old boxes.
The old boxes in fact, are the infrastructure for making things a mile wide, inch
deep.

54. As you start your day tomorrow…
Who dares to teach must never cease to learn ~ John Cotton Dana
http://www.youtube.com/watch?v=JEa0xpWi7C4

55. Thank You!
Please visit http://ccgpsmathematicsK-5.wikispaces.com/ to provide us
with your feedback!
Turtle Gunn Toms
Program Specialist (K-5)
tgunn@doe.k12.ga.us
These materials are for nonprofit educational purposes
only. Any other use may constitute copyright infringement.
Join the listserve!
join-mathematics-k-5@list.doe.k12.ga.us
Follow on Twitter!
follow@turtletoms
(yep, I’m tweeting math resources in a very informal manner)