EDU 570 ObjectivesEDU 570 Objectives

To introduce and help teachers know To introduce and help teachers know and understand 2 week fraction unitand understand 2 week fraction unit

To motivate teachers to help To motivate teachers to help students mathematize as they work students mathematize as they work with fractionswith fractions

Brain Activation!Brain Activation!Please solve this puzzle as we Please solve this puzzle as we

begin.begin.1.1. The first 2/5 of The first 2/5 of wholewhole + the last 1/8 of + the last 1/8 of

symmetrysymmetry..2.2. The first 1/3 of The first 1/3 of sum sum + the first 25% of + the first 25% of halfhalf + the + the

first 3/8 of first 3/8 of quotient quotient invertedinverted, then subtract the , then subtract the initial 1/8 + abbreviation for initial 1/8 + abbreviation for long divisionlong division..

3.3. The first half of The first half of weekweek..4.4. The terminating .5 of The terminating .5 of lastlast + the abbreviation for + the abbreviation for

universal designuniversal design + the first 1/4 of + the first 1/4 of yearyear..5.5. The last 50% of The last 50% of UnicomUnicom + the first 3/5 of + the first 3/5 of moneymoney..6.6. The initial 1/7 of The initial 1/7 of combinecombine + the last 2/9 of + the last 2/9 of

numeratornumerator + the second 1/11 of + the second 1/11 of denominatordenominator..7.7. The last 40% of The last 40% of firstfirst + 3/3 of a + 3/3 of a synonym for synonym for

“plus”“plus” + the last 4/5 of + the last 4/5 of yardsyards.._ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

_ _ _ _ _ _ _ _ _ _ _ _ _ ?_ _ _ _ _ _ _ _ _ _ _ _ _ ?

Brain Activation!Brain Activation!1.1. The first 2/5 of The first 2/5 of wholewhole + the last 1/8 of + the last 1/8 of symmetrysymmetry..

2.2. The first 1/3 of The first 1/3 of sum sum + the first 25% of + the first 25% of halfhalf + the first 3/8 + the first 3/8 of of quotient quotient invertedinverted, then subtract the initial 1/8 + , then subtract the initial 1/8 + abbreviation for abbreviation for long divisionlong division..

3.3. The first half of The first half of weekweek..

4.4. The terminating .5 of The terminating .5 of lastlast + the abbreviation for + the abbreviation for universal universal designdesign + the first 1/4 of + the first 1/4 of yearyear..

5.5. The last 50% of The last 50% of UnicomUnicom + the first 3/5 of + the first 3/5 of moneymoney..

6.6. The initial 1/7 of The initial 1/7 of combinecombine + the last 2/9 of + the last 2/9 of numeratornumerator + + the second 1/11 of the second 1/11 of denominatordenominator..

7.7. The last 40% of The last 40% of firstfirst + 3/3 of a + 3/3 of a synonym for “plus”synonym for “plus” + the + the last 4/5 of last 4/5 of yardsyards..

Why should we study common core Why should we study common core standards?standards?

Investigating Fractions Investigating Fractions featuring:featuring:

“Lively Lower” Elementary “Lively Lower” Elementary TableTable

Third Grade Common Core Third Grade Common Core StandardsStandards

April 20, 2011April 20, 2011

PresentersPresenters

Leah Bush – LME - KLeah Bush – LME - K Carol Dukes – NES – ESOLCarol Dukes – NES – ESOL Kristie Garner – GES - 3Kristie Garner – GES - 3 Jan Greene – BSES – 3Jan Greene – BSES – 3 Norma Price – PRES – KNorma Price – PRES – K Cheryl Parr – ESOL – Cheryl Parr – ESOL –

BES/PREBES/PRE Ruth Ransdell – GES – 2Ruth Ransdell – GES – 2 Tonya Springer – BSES - 3Tonya Springer – BSES - 3

AgendaAgenda 3:30-3:35 - Puzzle and Introduction - Cheryl3:30-3:35 - Puzzle and Introduction - Cheryl 3:35-3:45 - Common Core Definition + Information – 3:35-3:45 - Common Core Definition + Information –

Leah & Cheryl Leah & Cheryl Whole Group Session – 15 minutesWhole Group Session – 15 minutes

Sub Sandwich/Math Congress – Norma & TonyaSub Sandwich/Math Congress – Norma & Tonya Kids and Cookies - KristieKids and Cookies - Kristie Study Island – JanStudy Island – Jan

Centers - 40 minutesCenters - 40 minutes Unit Fractions – Number Lines – Ruth & CarolUnit Fractions – Number Lines – Ruth & Carol Common Fractions – Fraction Fringe – Leah & Jan; Common Fractions – Fraction Fringe – Leah & Jan;

Fraction Pie – TonyaFraction Pie – Tonya Comparing Fractions – Tangrams – Kristie & CherylComparing Fractions – Tangrams – Kristie & Cheryl Book Basket – NormaBook Basket – Norma

4:40-5:00 - Closure – Evaluation and Door Prizes - Norma4:40-5:00 - Closure – Evaluation and Door Prizes - Norma

Common Core StandardsCommon Core Standards

The Standards for Mathematical Practice describe The Standards for Mathematical Practice describe varieties of expertise that mathematics educators at varieties of expertise that mathematics educators at all levels should seek to develop in their students. all levels should seek to develop in their students.

……process standards of problem solving, reasoning process standards of problem solving, reasoning and proof, communication, representation, and and proof, communication, representation, and connections connections

……adaptive reasoning, strategic competence, adaptive reasoning, strategic competence, conceptual understanding (comprehension of conceptual understanding (comprehension of mathematical concepts, operations and relations), mathematical concepts, operations and relations), procedural fluency (skill in carrying out procedures procedural fluency (skill in carrying out procedures flexibly, accurately, efficiently and appropriately), and flexibly, accurately, efficiently and appropriately), and productive disposition (habitual inclination to see productive disposition (habitual inclination to see mathematics as sensible, useful, and worthwhile, mathematics as sensible, useful, and worthwhile, coupled with a belief in diligence and one’s own coupled with a belief in diligence and one’s own efficacy). efficacy).

Common Core StandardsCommon Core Standards

Schedule for School District of Newberry Schedule for School District of Newberry CountyCounty Taught the 2 weeks after PASS testingTaught the 2 weeks after PASS testing All third, fourth, and fifth grade teachers will All third, fourth, and fifth grade teachers will

teach third grade unit on fractionsteach third grade unit on fractions Begin with unit fractions Begin with unit fractions Understand non-unit fractions (common fractions) are Understand non-unit fractions (common fractions) are

built from unit fractions.built from unit fractions. Understand area (hooked together), set (individual Understand area (hooked together), set (individual

things grouped), and linear models (number line or things grouped), and linear models (number line or cubes linked)cubes linked)www.corestandards.org

Big IdeasBig Ideas

Unit fractionsUnit fractions Common fractionsCommon fractions Comparing fractionsComparing fractions

How can we facilitate How can we facilitate learning?learning?

Build background knowledgeBuild background knowledge Provide experiences for students to Provide experiences for students to

negotiate meaning negotiate meaning Conceptual knowledgeConceptual knowledge Models and hands on manipulationsModels and hands on manipulations Math CongressMath Congress

How do we engage How do we engage students?students?

Authentic problemsAuthentic problems Student solutions requestedStudent solutions requested Student explanations for thinkingStudent explanations for thinking Student paraphrasing of processesStudent paraphrasing of processes

What materials do you What materials do you need?need?

Simple materials available in most Simple materials available in most classroomsclassrooms

Student creation of modelsStudent creation of models

Whole GroupWhole Group

Last year four groups went on local field Last year four groups went on local field trips. 4 students went to the fire station. 5 trips. 4 students went to the fire station. 5 went to the Newberry Opera House. 8 went to the Newberry Opera House. 8 children went to Newberry College. 5 went children went to Newberry College. 5 went to the library. The cafeteria made 17 sub to the library. The cafeteria made 17 sub sandwiches. 3 sandwiches were delivered to sandwiches. 3 sandwiches were delivered to the fire station. 4 were taken to the Opera the fire station. 4 were taken to the Opera House. 7 subs were for the College visitors. House. 7 subs were for the College visitors. The final 3 sandwiches were given to the The final 3 sandwiches were given to the library. The next day, students complained library. The next day, students complained that the food was not fairly distributed. that the food was not fairly distributed. What do you think? Which group would you What do you think? Which group would you have liked to be in for lunch?have liked to be in for lunch?

Sub Sandwich Problem

Fair SharingFair Sharing

Tonya’s actual classroom Tonya’s actual classroom experienceexperience

Mrs. Mrs. Springer’s Springer’s Student Student

WorkWork

Mrs. Springer’s Student Mrs. Springer’s Student WorkWork

Whole GroupWhole Group

Kids and CookiesKids and Cookies Kristie’s use with her classKristie’s use with her class

http://www.teacherlink.org/content/mhttp://www.teacherlink.org/content/math/interactive/flash/kidsandcookies/ath/interactive/flash/kidsandcookies/kidcookie.phpkidcookie.php

Whole GroupWhole Group

Study IslandStudy Island

Jan’s use with her studentsJan’s use with her students

http://www.studyisland.comhttp://www.studyisland.com Odyssey ResourcesOdyssey Resources

http://compass.newberry.k12.sc.us/chilhttp://compass.newberry.k12.sc.us/childu/index.htmldu/index.html

District ResourcesDistrict Resources

Link to Common Core Standards – Link to Common Core Standards – Unit ideas for instruction May 16-27, Unit ideas for instruction May 16-27, 20112011

Fractions UnitFractions Unit Access via SDNC website, as well.Access via SDNC website, as well.

http://www.newberry.k12.sc.us/Instructhttp://www.newberry.k12.sc.us/InstructionalLinks/math/Elementary%20FractioionalLinks/math/Elementary%20Fractions.htmns.htm

Move to CentersMove to Centers(10 minutes each)(10 minutes each)

Unit Fractions Unit Fractions Multiple Number Lines – Ruth and CarolMultiple Number Lines – Ruth and Carol

Common FractionsCommon Fractions Fraction Fringe – Jan & LeahFraction Fringe – Jan & Leah Fraction Pie – TonyaFraction Pie – Tonya

Comparing FractionsComparing Fractions Tangrams – Kristie & CherylTangrams – Kristie & Cheryl

Fraction Exploration – Norma & JanFraction Exploration – Norma & Jan

Literature Support – 3Literature Support – 3rdrd GradeGrade

TITLETITLE Whole-y Cow!Whole-y Cow! Fractions Are FunFractions Are Fun Full House An Invitation to FractionsFull House An Invitation to Fractions Parts of a WholeParts of a Whole Gator PieGator Pie Fraction FunFraction Fun The Lion’s ShareThe Lion’s Share Jump, Kangaroo, Jump!Jump, Kangaroo, Jump! Fraction ActionFraction Action Eating FractionsEating Fractions Apple Fractions Apple Fractions Give Me HalfGive Me Half !Holiday Fractions!Holiday Fractions Skittles RiddlesSkittles Riddles Math + Fun: Adding FractionsMath + Fun: Adding Fractions Go, Fractions!Go, Fractions! Apple FractionsApple Fractions Fabulous FractionsFabulous Fractions Fractions, Decimals & PercentsFractions, Decimals & Percents

AUTHORAUTHOR Taryn SoudersTaryn Souders Taryn SoudersTaryn Souders Dayle Ann DoddsDayle Ann Dodds Kari Jenson GoldKari Jenson Gold Louise MatthewsLouise Matthews David A. AdlerDavid A. Adler Matthew McElligottMatthew McElligott Stuart J. MurphyStuart J. Murphy Loreen LeedyLoreen Leedy Bruce McMillanBruce McMillan Jerry PallottaJerry Pallotta Stuart J. MurphyStuart J. Murphy Jennifer & Greg RoyJennifer & Greg Roy Barbara Barbieri McGrathBarbara Barbieri McGrath Jerry PallottaJerry Pallotta Judith Bauer StamperJudith Bauer Stamper Donna TownsendDonna Townsend Lynette LongLynette Long David A. AdlerDavid A. Adler

ClosureClosure

Evaluation - CherylEvaluation - Cheryl Door Prizes - NormaDoor Prizes - Norma

Thank you!Thank you!

We appreciate your attention!We appreciate your attention! If we can be of assistance as you If we can be of assistance as you

move forward to your instruction, move forward to your instruction, please contact us!please contact us!

Powerpoint Presentation by Cheryl Parr and “Lively Lower “ Elementary Tablemates.