webinar slides

51
CCGPS Mathematics Unit-by-Unit Grade Level Webinar Third Grade Unit 1: Number and Operations in Base Ten May 8, 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.

Upload: jwalts

Post on 15-Dec-2014

256 views

Category:

Education


0 download

DESCRIPTION

 

TRANSCRIPT

Page 1: Webinar Slides

CCGPS MathematicsUnit-by-Unit Grade Level Webinar

Third Grade Unit 1: Number and Operations in Base Ten

May 8, 2012

Session will be begin at 3:15 pmWhile 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.

Page 2: Webinar Slides

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.

Page 3: Webinar Slides

CCGPS MathematicsUnit-by-Unit Grade Level Webinar

Grade ThreeUnit 1: Number and Operations in Base Ten

May 8, 2012

Turtle Gunn Toms– [email protected] Mathematics Specialist

These materials are for nonprofit educational purposes only. Any other use may constitute

copyright infringement.

Page 4: Webinar Slides

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

Page 5: Webinar Slides

• 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– [email protected] Mathematics Specialist

Page 6: Webinar Slides

Welcome!• For today’s session:

Did you read the Third Grade mathematics CCGPS? Did you read Third 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.

Page 7: Webinar Slides

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.

Page 8: Webinar Slides

Activate your Brain A basket contains more than 12 but fewer than 32 eggs. When you count the eggs by fours, you have three left over. When you

count by fives, you have two left over. How many eggs are in this basket? Write to help

explain your best thinking using words, numbers, or pictures.

Page 9: Webinar Slides

What’s the big idea?

•Deepen understanding of place value, and its usefulness in estimation and computation. •Underpinning all units- graphing

Page 10: Webinar Slides

Navigating a UnitOverviewStandardsEnduring UnderstandingsEssential QuestionsConcepts and Skills to MaintainSelected Terms and SymbolsStrategies for Teaching and LearningCommon MisconceptionsEvidence of LearningTasks

Page 11: Webinar Slides

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

Page 12: Webinar Slides

Navigating a UnitWhat’s Different/What’s the Same?SMP’s (analyzing, estimating, reasoning, describing patterns, defending, discussing, peer feedback, contentious discourse, modeling, etc.)Grade Level OverviewCollaborative skills (How collaborative are your collaborative activities?)Productive StruggleJournaling/NotebookDevelopment 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.

Page 13: Webinar Slides

Brand Spanking New!

Page 14: Webinar Slides
Page 15: Webinar Slides

Navigating a Unit

Classroom Routines and Ritualshttp://www.edutopia.org/math-social-activity-cooperati

ve-learning-videohttp://www.edutopia.org/math-social-activity-selhttp://www.youtube.com/user/responsiveclassroom/vi

deoshttp://www.responsiveclassroom.org/category/categor

y/first-weeks-school

Page 16: Webinar Slides

Navigating a Unit

Journaling/Math Workshop•Downloaded article from Marilyn Burnshttp://letsplaymath.net/2007/08/21/writing-to-learn-math/

Sense making•Downloaded article from NCTMhttp://www.youtube.com/user/mitcccnyorg?feature=watch

Page 18: Webinar Slides

“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

Page 19: Webinar Slides

What’s the big idea?

Developing deep understanding of quantity, relationships among numbers, and representation of number, specifically as they relate to place value, addition and subtraction, and the emergent understanding of multiplication.

Page 20: Webinar Slides

What do Third Grade students bring? What are they connecting to later?

From 2-• Fluent addition and subtraction to 18.• Foundational place value

understanding.• Foundational ideas about shape and

position in space.• Ability to compare and catagorize.• Understanding of quantities to 1000.• Measurement as unit iteration• Foundational data ideas• Foundational ideas about addition and

subtraction

Later-• Deep understanding of addition and

subtraction, multiplication and division.

• Useful place value understanding. • Understanding of defining attributes

about shape, comparison of shape.• Foundational fractional relationships.• Continuation of fluency/algebraic

thinking.• Measurement/addition/subtraction

relationships• Data analysis

Page 21: Webinar Slides

What’s Different in Third Grade? Operations and Algebraic Thinking• Estimation and rounding• Understand order of operations• Arithmetic patternsNumber and Operations in Base Ten• Rounding to the nearest 10 or 100

Page 22: Webinar Slides

Critical AreasIn Third Grade, instructional time should focus on four

critical areas: • Developing understanding of multiplication and

division and strategies for multiplication and division within 100

• Developing understanding of fractions, especially unit fractions (fractions with a numerator 1)

• Developing understanding of the structure of rectangular arrays and of area

• Describing and analyzing two-dimensional shapes

Page 23: Webinar Slides

Tools for Teaching Number Sense• Subitization• Comparison• Counting• One- to- one correspondence• Cardinality• Hierarchical Inclusion• Number Conservation• Spatial Relationship• One and Two More or Less• Understanding Anchors• Part/Part Whole Relationships

Dot Cards/TenFrames Number Cubes Dominoes Cups Collections Rekenrek

This is from Kindergarten Unit 1

Page 24: Webinar Slides

Problem Types

Page 25: Webinar Slides

Tools for Teaching Strategy

Page 26: Webinar Slides

More strategy tools…

• http://www.cleanvideosearch.com/media/action/yt/watch?videoId=Lp_ogl2iH_Q

• http://www.cleanvideosearch.com

Page 27: Webinar Slides

Developing Number SenseHow do you know what they know?

• First, do no harm:http://www.youtube.com/watch?v=I9jaJREEAI&feature=channel&list=ULhttp://www.youtube.com/watch?v=nK63kRN5xPo&feature=relmfu• Determine strategies:http://www.youtube.com/watch?v=yYdjCjEsdSw&feature=channel&list=UL

Thanks, Gatorgyrl82! http://www.youtube.com/user/Gatorgyrl82?feature=watch

Page 28: Webinar Slides

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

Page 29: Webinar Slides

Coherence and Focus – Unit 1What foundation will have been built?

Where does this understanding lead incoming students?

Page 30: Webinar Slides

Coherence and Focus – Unit 1What foundation is being built?

Where does this understanding lead students?

Page 31: Webinar Slides

Coherence and Focus – Unit 1View across grade bands

• K-6th Operations with whole numbers and fractions.Numbers and their opposites.

• 8th-12th Everything!

Page 32: Webinar Slides

Coherence and Focus – Unit 1What foundation is being built?

Where does this understanding lead students?

http://www.k-5mathteachingresources.com/2nd-grade-math-journals.html

Page 33: Webinar Slides

Examples & Explanations Downloads:•Dot cards and ten frames packet•Rekenrek packet•http://gradekcommoncoremath.hcpss.wikispaces.net/Rekenreks

•http://letsplaymath.net/2006/12/29/the-game-that-is-worth-1000-worksheets/

Page 34: Webinar Slides

Examples and ExplanationsStrategy Development

Page 35: Webinar Slides

Examples & Explanations

Page 36: Webinar Slides

Examples & Explanations

Page 37: Webinar Slides

Examples & Explanations

Journaling Revisited:

Page 38: Webinar Slides

Examples & ExplanationsStandards:http://secc.sedl.org/common_core_videos/Videos for teachers explaining standards- so far: 2.NBT.7, with more to come.

Tools:http://www.dpi.state.nc.us/docs/acre/standards/common-core-tools/unpacking/math/3rd.pdfUnpacked standards from NC

Page 39: Webinar Slides

AssessmentHow might it look?

Examples of how balanced assessments can be assembled.

http://map.mathshell.org/materials/tests.phpThe target audience for these sample assessments :

1. teachers who have already begun work with mathematical practice standards

2. designers of future CCSSM-aligned assessmentshttp://map.mathshell.org/materials/pd.php

(while you are at it, have a look at their Professional Learning!)

Page 40: Webinar Slides

AssessmentHow could it look?

http://nzmaths.co.nz/mathematics-assessment

Page 41: Webinar Slides

How is a GA county using this?

Thank you, Dr. Snell, and Henry County!

Page 42: Webinar Slides

Helping to identify concerns…

Thank you, Dr. Snell, and Henry County!

Page 43: Webinar Slides

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.

Page 44: Webinar Slides

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.

Page 45: Webinar Slides

What in the world is a wiki?

http://ccgpsmathematicsk-5.wikispaces.com/3rd+Grade

Page 46: Webinar Slides

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=1704Inside 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

Page 47: Webinar Slides

Resources• Books

Van De Walle and Lovin, Teaching Student-Centered Mathematics, K-3

Fosnot and Dolk, Young Mathematicians at WorkWright, et al, Teaching Number in the ClassroomWright, et al, Teaching Number-Advancing children’s skills

and StrategiesWright, et al, Developing Number KnowledgeParrish, Number Talks Shumway, Number Sense Routines (preview!)Wedekind, Math Exchanges (preview!)

Page 48: Webinar Slides

Resources• Professional Learning Resources

Inside Mathematics- http://www.insidemathematics.org/ Edutopia – http://www.edutopia.org Teaching Channel - http://www.teachingchannel.orgAnnenberg 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- Parentshttp://www.youtube.com/watch?v=Vvk4-evBS-8&feature=plcp (how to support your school and teacher)

Page 49: Webinar Slides

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 boxesNOTHING IS REALLY GOING TO CHANGE

We designed these as a platform for new kinds of instructional systemsWe 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.

Page 50: Webinar Slides

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

Page 51: Webinar Slides

Thank You!Please visit http://ccgpsmathematicsK-5.wikispaces.com/ to provide us

with your feedback!Join our listserve:

[email protected]

Turtle Gunn TomsProgram Specialist (K-5)[email protected]

These materials are for nonprofit educational purposes only. Any other use may constitute copyright infringement.

follow@turtletoms (yep, I’m tweeting math resources in a very informal manner)