ccgps mathematics unit-by-unit grade level webinar 6 th grade unit 1: number system fluency may 1,...
TRANSCRIPT
CCGPS MathematicsUnit-by-Unit Grade Level Webinar
6th Grade Unit 1: Number System Fluency
May 1, 2012
Session will be begin at 4:30 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.
CCGPS MathematicsUnit-by-Unit Grade Level Webinar
6th Grade Unit 1: Number System Fluency
May 1, 2012
James Pratt – [email protected] Kline – [email protected] Mathematics Specialists
These materials are for nonprofit educational purposes only. Any other use may constitute copyright infringement.
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…some food for thought
how might I approach this unit next fall? what is my conceptual understanding of the material in this unit?
a list of resources and support available for CCGPS mathematics
Welcome!
• For today’s session: read the standards read the unit downloaded and saved the documents from this session
• Ask questions and share resources/ideas for the common good.
Welcome!• Please provide feedback at the end of today’s session.
Feedback helps us become better teachers, and it helps you to reflect upon your learning. Feedback helps us as we develop the remaining unit-by-unit webinars. Please visit http://ccgpsmathematics6-8.wikispaces.com/ to share your feedback.
• After reviewing the remaining units, please contact us with content area focus/format suggestions for future webinars.
James Pratt – [email protected] Kline – [email protected] Mathematics Specialists
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. PARCC assessments begin in 2014-2015.• A list of resources will be provided at the end of this webinar.
Activate your Brain Use a model, diagram, or manipulative to
perform the following operations…try not to rely upon your algorithm!
• 1/2 ÷ 1/4 • 1/3 ÷ 1/4• 2/3 ÷ 1/3 • 3 ¼ ÷ 1 ½
Models for Teaching Division of Fractions
• Partition
• Measurement
• Use of ribbons
• Common Denominators
Examples of Division of Fractions
• http://mathvids.com/lesson/mathhelp/757-dividing-fractions-a-lesson
• http://teachertube.com/viewVideo.php?title=Dividing_Fractions_Part_2&video_id=97663
What’s the big idea?• Enduring Understandings• Essential Questions• Key Standards• Overview
What’s the big idea?
• Developing conceptual understanding of division of fractions by fractions. • Developing deep understanding and fluency with operations of fractions, multi-digit decimals and multi-digit numbers.
Navigating a Unit•Table of Contents
OverviewStandardsEnduring UnderstandingsEssential QuestionsSelected Terms and SymbolsClassroom RoutinesStrategies for Teaching and LearningEvidence of LearningTasks
Navigating a Unit
What’s New?• Concepts and Skills to Maintain• Strategies for Teaching and Learning• Evidence of Learning
Navigating a Unit
What’s New?• Task Table
Task Type Grouping StrategyTask Description
Navigating a UnitWhat’s New?• Classroom Routines
SMP’s (analyzing, estimating, reasoning, describing patterns, defending, discussing, peer feedback, contentious discourse, answering, etc.)Collaborative skills (How collaborative are your collaborative activities?)Productive StruggleClassroom technology, materials…how to use materials in a productive manner.Journaling/NotebookDevelopment of own understandingThe regular use of routines is important to the development of students’ number sense, flexibility, fluency, collaborative skills and communication.
Navigating a UnitClassroom Routines• What might all of this look like in the classroom?
http://ccgpsmathematics6-8.wikispaces.com/
• Also check out:Inside Mathematics : Mathematical Community of Learners - http://www.insidemathematics.org/index.php/video-tours-of-inside-mathematics/classroom-teachers/157-teachers-reflect-mathematics-teaching-practicesEdutopia.org - Chris Optizhttp://www.edutopia.org/math-social-activity-cooperative-learning-vi
deohttp://www.edutopia.org/math-social-activity-sel
Coherence and Focus – Unit 1What are students coming with?
Coherence and Focus – Unit 1What foundation is being built?
Where does this understanding lead students?
Coherence and Focus – Unit 1View across grade bands• K-5th
Operations with whole numbers, fractions and decimals.
• 7th-12th Everything!
Examples & Explanations
•Michael’s mom paid $2.40 for ¾ pound of chocolate, how much is that per pound.
Examples & Explanations
•Michael’s mom paid $2.40 for ¾ pound of chocolate, how much is that per pound.• I have ¾, how much is one?
Examples & Explanations
•Michael’s mom paid $2.40 for ¾ pound of chocolate, how much is that per pound.• I have ¾, how much is one?
1 pound
Examples & Explanations
•Michael’s mom paid $2.40 for ¾ pound of chocolate, how much is that per pound.• I have ¾, how much is one?
•
$2.40
1 pound
Examples & Explanations
•Michael’s mom paid $2.40 for ¾ pound of chocolate, how much is that per pound.• I have ¾, how much is one?
• $2.40 ÷ 3 = $0.80
$2.40
1 pound
Examples & Explanations
•Michael’s mom paid $2.40 for ¾ pound of chocolate, how much is that per pound.• I have ¾, how much is one?
• $2.40 ÷ 3 = $0.80
$2.40
1 pound
$0.80 $0.80$0.80 $0.80
Examples & Explanations
•Michael’s mom paid $2.40 for ¾ pound of chocolate, how much is that per pound.• I have ¾, how much is one?
• $2.40 ÷ 3 = $0.80
($0.80 x 4) = $3.20/lb
$2.40
1 pound
$0.80 $0.80$0.80 $0.80
Examples & Explanations
5/3 ÷ 1/2
How many halves are in five-thirds?
Examples & Explanations
5/3 ÷ 1/2
How many halves are in five-thirds?
Examples & Explanations
5/3 ÷ 1/2
How many halves are in five-thirds?
Examples & Explanations
5/3 ÷ 1/2
How many halves are in five-thirds?
Examples & Explanations
Examples & Explanations
AssessmentHow could it look?
•Examples of how balanced assessments can be assembled.
http://map.mathshell.org/materials/tests.phpThe target audience for these example assessments are:
1. teachers who have already started to work on their student’s mathematical practice skills
2. designers of future CCSSM-aligned assessments
AssessmentHow could it look?
http://map.mathshell.org/materials/tests.php
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• 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/ODEPrimary.aspx?page=2&TopicRelationID=1704Annenberg Learner - http://www.learner.org/index.html 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
• BooksVan DeWalle’s “Elementary and Middle School Mathematics, Teaching Developmentally” - College Level Text
Resources• Professional Learning Resources
Inside Mathematics- http://www.insidemathematics.org/ Edutopia – http://www.edutopia.org Teaching Channel - http://www.teachingchannel.org
• 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
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
Thank You! Please visit http://ccgpsmathematics6-8.wikispaces.com/ to provide us
with your feedback!
Brooke KlineProgram Specialist (6 12)‐
James PrattProgram Specialist (6-12)
These materials are for nonprofit educational purposes only. Any other use may constitute copyright infringement.