Looking at the Middle School Looking at the Middle School Math Standards with a Math Standards with a

NEW ATTITUDENEW ATTITUDEGina GarnerGina Garner

Exceptional Education Exceptional Education Math 5 – 8Math 5 – 8

Donelson Middle SchoolDonelson Middle School

ObjectiveObjective

To look at current To look at current math standards while math standards while addressing ways to addressing ways to ensure success with ensure success with ALL students in the ALL students in the classroom. classroom.

Ice BreakerIce Breaker

In your small group, think of at least 10 In your small group, think of at least 10 varied and unusual places that numbers varied and unusual places that numbers can be found in our daily lives.can be found in our daily lives.

Example: 1 dozen rosesExample: 1 dozen roses

(no, you cannot use the example)(no, you cannot use the example)

Today’s StandardsToday’s StandardsRigerousRigerousEmphasis on life long learningEmphasis on life long learningBuilding blocks for success in High SchoolBuilding blocks for success in High School and beyond.and beyond.

Math is here…Math is here…

"…Even if you're sitting in math class "…Even if you're sitting in math class counting down the minutes till it's over, counting down the minutes till it's over,

you're still doing math!" you're still doing math!" LoriLori

VOCCOLA.orgVOCCOLA.org

and here…and here…

……If you play games you use math to figure out If you play games you use math to figure out your score. Do you have a combination lock? your score. Do you have a combination lock? You are doing math there…When you count You are doing math there…When you count money you are doing math…If you use a scale, money you are doing math…If you use a scale, you are doing math… Sammyyou are doing math… Sammy

VOCCOLA.orgVOCCOLA.org  

and here…and here… My collage was about finding numbers and using My collage was about finding numbers and using

math in wrestling. For example, you can use math in wrestling. For example, you can use division and divide the WWE wrestlers between division and divide the WWE wrestlers between the Smack Down and the Raw Shows. My the Smack Down and the Raw Shows. My collage also showed that the Rock has millions collage also showed that the Rock has millions and millions (which are numbers) of fans. When and millions (which are numbers) of fans. When you add Jeff and Matt Hardy together, you get a you add Jeff and Matt Hardy together, you get a Two Man Tag Team. When you minus Devon Two Man Tag Team. When you minus Devon Dudley from the Dudley Boy Tag Team, you get Dudley from the Dudley Boy Tag Team, you get one table smashing Bubba Ray Dudley left. one table smashing Bubba Ray Dudley left. There are a lot of things to count when you're There are a lot of things to count when you're watching wrestling! Josephwatching wrestling! Joseph

VOCCOLA.orgVOCCOLA.org

Math is EVERYWHEREMath is EVERYWHEREWhat math means to me? Math to me is What math means to me? Math to me is

the universal language since every culture the universal language since every culture somehow some way has math. Math has somehow some way has math. Math has so much to do with us from ancient times so much to do with us from ancient times to our very own…my collage shows…to our very own…my collage shows…pictures of math from Egypt and other pictures of math from Egypt and other cultures…also pictures of numbers inside cultures…also pictures of numbers inside DNA…and then mathematics with DNA…and then mathematics with equations. Henry equations. Henry Voccola.orgVoccola.org

Got Math ???Got Math ???

VideoVideo http://teachertube.com/viewVideo.php?video_id=3682&title=Got_Mathhttp://teachertube.com/viewVideo.php?video_id=3682&title=Got_Math__

Today’s StandardsToday’s Standards

CREATIVITY HAS NOT BEEN TAKEN AWAYCREATIVITY HAS NOT BEEN TAKEN AWAYFROM THE TEACHER !!!!FROM THE TEACHER !!!!

EMBRACE the CHALLENGEEMBRACE the CHALLENGEto make Learningto make Learning

MEANINGFULMEANINGFUL

Today’s StandardsToday’s Standards

Connect to real world as much as possible!Connect to real world as much as possible!

VideoVideo

The Connected ClassroomThe Connected Classroom http://teachertube.com/viewVideo.php?http://teachertube.com/viewVideo.php?

video_id=661&title=The_Connected_Classvideo_id=661&title=The_Connected_Classroomroom

Team TeachingTeam Teaching

Team TeachingTeam TeachingTogether - Shared responsibilities. This is Together - Shared responsibilities. This is

OUR class OUR class Everyone – Instruction is not a one man Everyone – Instruction is not a one man

show. Both contribute to the instruction show. Both contribute to the instruction and learning.and learning.

Achieve – You can have small groups to Achieve – You can have small groups to remediate and enrich at the same time!remediate and enrich at the same time!

More – reach the standards and go More – reach the standards and go beyond!beyond!

Team TeachingTeam Teaching

Promotes Differentiated Promotes Differentiated InstructionInstruction

Promotes InclusionPromotes Inclusion

Team TeachingTeam TeachingBe flexibleBe flexibleUnderstand territoriesUnderstand territoriesLook for positives and strengthsLook for positives and strengthsExecptional Ed is there for ALL studentsExecptional Ed is there for ALL studentsBoth can learn from experienceBoth can learn from experienceRole model for students working together Role model for students working together

and social skillsand social skills

Good Team TeachingGood Team Teaching

Students or observer cannot really tell who Students or observer cannot really tell who is the teacher of record. Both are is the teacher of record. Both are

constantly interacting with students and in constantly interacting with students and in the instruction process.the instruction process.

BOTH share responsibilities of the BOTH share responsibilities of the classroom and plan TOGETHER.classroom and plan TOGETHER.

Pacing GuidesPacing Guides

Pacing GuidesPacing GuidesDeveloped by Metro Teachers and Math Developed by Metro Teachers and Math

CoachesCoachesMay be adjusted by individual schoolsMay be adjusted by individual schoolsDictates the path of skills to be taught in a Dictates the path of skills to be taught in a

sequential ordersequential orderWorking (living) documentWorking (living) documentNew ones being developed AS WE New ones being developed AS WE

SPEAKSPEAK

Example of Pacing GuideExample of Pacing Guide

77thth Grade Pacing Guide – DMS 09-10 Grade Pacing Guide – DMS 09-10

Important NotebooksImportant Notebooks

PLANNING NOTEBOOKPLANNING NOTEBOOK

STUDENT DATA STUDENT DATA NOTEBOOKNOTEBOOK

IF YOU DIDN’T IF YOU DIDN’T DOCUMENT IT – IT DOCUMENT IT – IT DIDN’T HAPPEN !!!!!DIDN’T HAPPEN !!!!!

Planning NotebooksPlanning NotebooksDesigned to help the teacherDesigned to help the teacher Is a working notebookIs a working notebook

Pacing GuidesPacing GuidesLesson PlansLesson PlansActivitiesActivitiesNotes and Handouts from P.D.Notes and Handouts from P.D.

Student Data NotebookStudent Data Notebook

General General Class/School DataClass/School Data

(TCAP Scores by(TCAP Scores by grade level)grade level)

Student Data NotebookStudent Data Notebook Individual Student Individual Student

DataData* IEP Goal Sheets* IEP Goal Sheets* Student Data Sheet* Student Data Sheet

(TCAP, Think Link(TCAP, Think Link & Report Card)& Report Card)

* Phone Logs* Phone Logs* Assessment * Assessment Record SheetsRecord Sheets

Student Data NotebookStudent Data Notebook

• Student Profile Student Profile SheetsSheets

• (Mastery data by (Mastery data by subject)subject)

Student Profile SheetsStudent Profile Sheets Document progress Document progress

made by studentmade by student Share with student Share with student

and parentsand parents Can be used to create Can be used to create

IEP’sIEP’s Can be used to focus Can be used to focus

on remediation and on remediation and enrichmentenrichment

Beginning of YearBeginning of Year

Test to see what skills Test to see what skills have been retained have been retained and which need to be and which need to be reviewed.reviewed.

Common assessment Common assessment for all students.for all students.

ExamplesExamples

Key MathKey MathWoodcock JohnsonWoodcock JohnsonDAB 3DAB 3Textbook Publisher CreatedTextbook Publisher CreatedExam View CreatedExam View CreatedTeacher CreatedTeacher Created

Common AssessmentsCommon Assessments Given every 3 – 4 Given every 3 – 4

weeksweeks

Assess current skills Assess current skills taught and what has taught and what has been retained.been retained.

Document standards Document standards as masteredas mastered

Common AssessmentCommon Assessment

SampleSampleDMS 8DMS 8thth Grade common assessment Grade common assessment

* DMS 6* DMS 6thth Grade common assessment Grade common assessment

Student Profile SheetStudent Profile Sheet

DMS Student Profile sheet 1DMS Student Profile sheet 1DMS Student Profile sheet 2DMS Student Profile sheet 2DMS Student Profile sheet 3DMS Student Profile sheet 3

ActivityActivity

Take 6Take 6thth grade common assessment and grade common assessment and complete student profile sheetcomplete student profile sheet

ActivityActivity

Using given student profile sheet, discuss Using given student profile sheet, discuss with your partner test results and what you with your partner test results and what you would like to do next. Use available would like to do next. Use available resources your school has.resources your school has.

What do I do now???What do I do now???

Record and ReflectRecord and ReflectReview results with studentReview results with student

Discuss plan of action with studentDiscuss plan of action with student

DO IT!DO IT!

Check BackCheck Back

Remediate & EnrichRemediate & Enrich

Student has copy of skills check listStudent has copy of skills check list

Study Island or My Skills TutorStudy Island or My Skills Tutor

Individual Skills CentersIndividual Skills Centers

PortaportalPortaportal

Study IslandStudy IslandWeb BasedWeb BasedCan individualizeCan individualizeKeeps scores / gradebookKeeps scores / gradebookGives awards when mastery metGives awards when mastery metwww.studyisland.comwww.studyisland.com

PortaportalPortaportalWeb (computer) basedWeb (computer) basedTeacher createdTeacher createdwww.portaportal.comwww.portaportal.com

Sample guest name: donelsonmathSample guest name: donelsonmath

Other ActivitiesOther ActivitiesStudent centersStudent centersMenu activitiesMenu activitiesGamesGamesOther computer based programsOther computer based programs Interdisciplinary activities with other Interdisciplinary activities with other

classes (thematic learning)classes (thematic learning)LOTS of resources on internet!!!LOTS of resources on internet!!!

Some Web SitesSome Web SitesSpy Guys Spy Guys

http://www.learnalberta.ca/content/mesg/hthttp://www.learnalberta.ca/content/mesg/html/math6web/math6shell.htmlml/math6web/math6shell.html

NASA NASA http://www.nasa.gov/audience/foreducators/5-8/index.htmlhttp://www.nasa.gov/audience/foreducators/5-8/index.html

Math Academy Math Academy http://www.actuarialfoundation.org/youth/mathacademy.htmlhttp://www.actuarialfoundation.org/youth/mathacademy.html

Some WebsitesSome WebsitesTeachertube.comTeachertube.comaaamath.comaaamath.combrainpop.combrainpop.comeduplace.comeduplace.comEdutopia.orgEdutopia.org jc-schools.netjc-schools.netNctm.orgNctm.org

Questions ???Questions ???

Time to Move Around !Time to Move Around !

MultiplicationMultiplicationRapRap

Multiplication RapMultiplication Rap

Great Bell Ringer or transition Great Bell Ringer or transition Kids can create ownKids can create ownSeveral commercial versionsSeveral commercial versionsCan do quick tests daily or weeklyCan do quick tests daily or weeklyChart progress – reward those Chart progress – reward those

who learn all their factswho learn all their facts

Standards ActivityStandards ActivityWith your group, look at the standards With your group, look at the standards

handed out (old/new)handed out (old/new) Identify the “gaps” that you see which Identify the “gaps” that you see which

could be problems for studentscould be problems for students

Be ready to share 2 -3 “gaps” in 3 minutes.Be ready to share 2 -3 “gaps” in 3 minutes.

Word ProblemsWord Problems

You will be handed one or more cards that You will be handed one or more cards that have a word or words on them from word have a word or words on them from word problems.problems.

You will need to get up and match the card You will need to get up and match the card to the operation it goes with – Addition, to the operation it goes with – Addition, Subtraction, Multiplication or DivisionSubtraction, Multiplication or Division

Create foldableCreate foldable

Another way to useAnother way to useOn bulletin board, divide into 4 sections On bulletin board, divide into 4 sections

with masking tape. Put +, -, * and with masking tape. Put +, -, * and ÷ in 4 ÷ in 4 areas. Have words that mean the areas. Have words that mean the operation in each section.operation in each section.

Tape Addition, Subtraction, Multiplication Tape Addition, Subtraction, Multiplication and Division in various parts of room. and Division in various parts of room. Have students match word to operation.Have students match word to operation.

SOLVEing Word ProblemsSOLVEing Word Problems

SState the questiontate the questionOOrganize the factsrganize the factsLLine up the problem in wordsine up the problem in wordsVVerify – plug in the numberserify – plug in the numbersEEvaluate- using estimation and valuate- using estimation and reasonablenessreasonableness

S – State the ProblemS – State the Problem

Underline or Underline or highlight the highlight the problem problem

O – Organize the FactsO – Organize the Facts

Circle the facts Circle the facts needed to needed to solve the solve the problemproblem

L – Line up the problem in wordsL – Line up the problem in words

Add number of girls and number Add number of girls and number of boys to get total number of of boys to get total number of students in class.students in class.

V – Verify with numbersV – Verify with numbers

19 + 12 = 3119 + 12 = 31

E – Evaluate by EstimationE – Evaluate by Estimation

19 + 12 = 3119 + 12 = 31

19 rounded is 2019 rounded is 2012 rounded is 1012 rounded is 1020 + 10 = 30 so answer must be right20 + 10 = 30 so answer must be right

SOLVE foldableSOLVE foldableNeed: 3 sheets plain paperNeed: 3 sheets plain paper pencilpencil highlighterhighlighter colored markers if wishcolored markers if wish

ProblemProblemMountain City, in upper East Tennessee, Mountain City, in upper East Tennessee,

is about 540 miles from Memphis. If is about 540 miles from Memphis. If gasoline costs $3 a gallon and your car gasoline costs $3 a gallon and your car gets 30 miles per gallon, how much will it gets 30 miles per gallon, how much will it cost you to pay for the gas to drive all the cost you to pay for the gas to drive all the way?way?

Time to move around!!!Time to move around!!!

It’s time for theIt’s time for the

Coordinate Plane SlideCoordinate Plane Slide

Coordinate Plane SlideCoordinate Plane SlideGreat to use when introducing or Great to use when introducing or

reviewing coordinate plane with students.reviewing coordinate plane with students.

Gets kids up and moving – they can also Gets kids up and moving – they can also create moves to go with slide.create moves to go with slide.

Coordinate Plane SlideCoordinate Plane Slide

Positive to the right, negative to Positive to the right, negative to the left (4 times)the left (4 times)

And Change….And Change….Positive’s going up, negative’s Positive’s going up, negative’s

going down (4 times)going down (4 times)

Coordinate Plane GamesCoordinate Plane GamesBattleshipBattleshipHurkleHurkleLocate the Aliens Locate the Aliens

http://www.gameclassroom.com/game/457http://www.gameclassroom.com/game/45717-3427/plotting-points-equation/locate-ali17-3427/plotting-points-equation/locate-aliensens

Catch the Fly Catch the Fly http://internet4classrooms.com/ppthttp://internet4classrooms.com/ppt%20files/coordinate_plane_type_on.ppt%20files/coordinate_plane_type_on.ppt

Coordinate Plane Writing Coordinate Plane Writing

Need: Graph paper and notebook paperNeed: Graph paper and notebook paper

Coordinate Plane WritingCoordinate Plane WritingYou are have discovered a new You are have discovered a new

constellation in the sky.constellation in the sky.

You are to “chart” your constellation on the You are to “chart” your constellation on the graph paper, marking the coordinates next graph paper, marking the coordinates next to the points. You need at least 10 pointsto the points. You need at least 10 points

Coordinate Plane WritingCoordinate Plane WritingYou will write a minimum of 3 paragraphs You will write a minimum of 3 paragraphs

telling the story of your constellation and telling the story of your constellation and how it appeared in the sky.how it appeared in the sky.

Grammar, spelling and punctuation Grammar, spelling and punctuation matters!!!matters!!!

Prime Numbers FoldablePrime Numbers Foldable

Need: large piece of construction paperNeed: large piece of construction paper white sheet of paperwhite sheet of paper 1 – 100 chart1 – 100 chart Table of Factors Table of Factors

Prime Numbers FoldablePrime Numbers FoldableUsing 0 – 100 chart, color prime numbers Using 0 – 100 chart, color prime numbers

PURPLE. Color composite numbers PURPLE. Color composite numbers Green.Green.

Construction paper – fold two ends in to Construction paper – fold two ends in to center. Crease folds.center. Crease folds.

Glue white paper on front cover. Cut so Glue white paper on front cover. Cut so foldable opensfoldable opens

Prime Numbers - foldablePrime Numbers - foldableGlue prime number chart on inside center Glue prime number chart on inside center

piece. On left side, list prime numbers. piece. On left side, list prime numbers. On right side, list composite numbers.On right side, list composite numbers.

Glue table of factors to backGlue table of factors to backLabel and decorate front.Label and decorate front.

Order of Operations CheerOrder of Operations Cheer

Parenthesis – make parenthesis with Parenthesis – make parenthesis with handshands

Excuse – right hand in fist on top of Excuse – right hand in fist on top of headhead

Order of Operations CheerOrder of Operations Cheer

Multiplication – make “x” with bodyMultiplication – make “x” with body

Division – make fist with hands. Right Division – make fist with hands. Right goes on chest, left goes on stomachgoes on chest, left goes on stomach

Order of Operations CheerOrder of Operations Cheer

Addition – hold arms straight outAddition – hold arms straight out

Subtraction – hold arms straight at Subtraction – hold arms straight at sideside

Please excuse my dear Aunt Sally!Please excuse my dear Aunt Sally!

Fractions DictionaryFractions Dictionary What is a fractionWhat is a fraction Equivalent fractionsEquivalent fractions Reducing fractionsReducing fractions Comparing fractionsComparing fractions Mixed NumbersMixed Numbers Improper fractionsImproper fractions Adding fractionsAdding fractions Subtracting fractionsSubtracting fractions

Fractions DictionaryFractions Dictionary

Be sure to have definition and Be sure to have definition and examples of what it looks like and examples of what it looks like and doesn’t look likedoesn’t look like

Use as study guideUse as study guideBack cover can be about author pageBack cover can be about author page

Fractions FlagsFractions Flags

Fraction FlagsFraction Flags

Use to show equivalent fractionsUse to show equivalent fractions

Could also be used to show equivalent Could also be used to show equivalent decimalsdecimals

Activity - Comparing VolumeActivity - Comparing Volume

Need: nets handoutsNeed: nets handouts tape (masking or scotch)tape (masking or scotch) ricerice recording sheetrecording sheet

Algebra TilesAlgebra Tiles Hands on activity for studentsHands on activity for students

Can copy on to cardstock and have Can copy on to cardstock and have students cut out.students cut out.

Green – positive, Red - negativeGreen – positive, Red - negative

Used on TCAP as questionsUsed on TCAP as questions

Map Scale ActivityMap Scale Activity In your groups, you will be given an In your groups, you will be given an

activity card and map.activity card and map.You will need to find the distance between You will need to find the distance between

two or three given towns/cities using your two or three given towns/cities using your map.map.

Follow the directions on your activity cardFollow the directions on your activity card

Combining Like TermsCombining Like Terms

Consider the problemConsider the problem

7a + 17b + 8 c – 4a + 2c – 13b + 20c -1a=7a + 17b + 8 c – 4a + 2c – 13b + 20c -1a=

7a + 17b + 8c – 4a + 2c – 13b + 20c -1a=7a + 17b + 8c – 4a + 2c – 13b + 20c -1a=

You could…You could…Pretend the letters don’t exist and solve the Pretend the letters don’t exist and solve the

problem.problem.Draw different shapes around each letter Draw different shapes around each letter

(circle a’s, square b’s, triangle c’s)(circle a’s, square b’s, triangle c’s)Assign a color to each variable and the Assign a color to each variable and the

coefficient to group like terms.coefficient to group like terms.

7a + 17b + 8 c – 4a + 2c – 13b + 20c -1a=7a + 17b + 8 c – 4a + 2c – 13b + 20c -1a=

7a – 4a – 1a + 17b – 13b + 8c + 2c + 20c=7a – 4a – 1a + 17b – 13b + 8c + 2c + 20c=

= 2a + 12b + 30c= 2a + 12b + 30c

Activity Activity

Flying Flying Space Space ShuttlesShuttles

Flying Shuttles in the ClassroomFlying Shuttles in the Classroom

Solve problems involving rate / time / Solve problems involving rate / time / distancedistance

Need: shuttle patterns, glue sticks, Need: shuttle patterns, glue sticks, scissors, stopwatch or watch with second scissors, stopwatch or watch with second hand, ruler or tape measure, graph paper hand, ruler or tape measure, graph paper and LOTS OF Roomand LOTS OF Room

Flying Shuttles ActivityFlying Shuttles ActivityCut out paper shuttle and put together. Cut out paper shuttle and put together.

Please put your name or the name of your Please put your name or the name of your shuttle on the shuttle.shuttle on the shuttle.

Divide the duties of the activity between Divide the duties of the activity between group members: Launch Control, Timer group members: Launch Control, Timer Director, Measuring Director, and Director, Measuring Director, and RecorderRecorder

Flying Shuttle ActivityFlying Shuttle ActivityTake turns flying shuttle and recording the Take turns flying shuttle and recording the

time in flight and distance traveled.time in flight and distance traveled.When finished flying shuttles and making When finished flying shuttles and making

recordings, find the rate of travel by using recordings, find the rate of travel by using the formula r= d/tthe formula r= d/t

Chart your results on graph paper. Be Chart your results on graph paper. Be ready to share with group.ready to share with group.

Pathagorean TheoremPathagorean Theorem

aa² + b² = c²² + b² = c²

How to rememberHow to remember

A – the vertical leg of the right angleA – the vertical leg of the right angle

B – the horizontal leg of the right angleB – the horizontal leg of the right angle

C – the leg C – the leg acrossacross from the right angle from the right angle

Activity Activity

Pythagorean Theorem Cut OutPythagorean Theorem Cut Out

U.S. Customary and Metric SystemU.S. Customary and Metric System

Students do not have the concept of how Students do not have the concept of how long an inch, foot or yard is.long an inch, foot or yard is.

Students need proportion foundation to Students need proportion foundation to convert from one unit to anotherconvert from one unit to another

Can create foldable of units of measure for Can create foldable of units of measure for students to refer tostudents to refer to

Customary Unit of Measure Customary Unit of Measure FoldableFoldable

Need: Units of measure handoutsNeed: Units of measure handouts scissors, gluescissors, glue sheets of white papersheets of white paper 8 ½ x 11 sheet construction paper8 ½ x 11 sheet construction paper color pencils or markerscolor pencils or markers

FoldableFoldableCreate a booklet using white paper. Use Create a booklet using white paper. Use

construction paper as coverconstruction paper as coverPut picture of each category of unit of Put picture of each category of unit of

measure on each page.measure on each page.Copy conversions on to pages.Copy conversions on to pages.Decorate as neededDecorate as needed

Books In MathBooks In Math

One Grain of One Grain of

RiceRice

One Grain of RiceOne Grain of Rice

Introduces and expands Introduces and expands exponential notationexponential notation

Illumination activity to accompanyIllumination activity to accompany

MenusMenus

MenusMenusLook at menu handouts for ideas.Look at menu handouts for ideas.Great way to remediate or enrichGreat way to remediate or enrichUse rubrics Use rubrics You need to practice the procedure You need to practice the procedure

several times before students work on several times before students work on their own.their own.

Have folders for students to keep up with Have folders for students to keep up with their work.their work.

Review GapsReview Gaps Meet with your group and discuss “gaps” that Meet with your group and discuss “gaps” that

you identified at the beginning of this session.you identified at the beginning of this session.

Have you discovered activities that will help your Have you discovered activities that will help your students or have ideas for other activities?students or have ideas for other activities?

Be ready to share in 3 minutes.Be ready to share in 3 minutes.

Questions ???Questions ???