Validated Practices Project

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     T$o)$ay tables sho$ fre%uency, rather than a correlation bet$een the data

    points, $hich is $hat a scatter plot displays. They are able to understand

    dierent patterns $hen t$o)variables are involved, meeting standard *.#P.+.

     Through t$o)$ay tables, students are able to see ho$ often an event

    occurs. (ecause $e gathered data from the class, based on $hether or not

    they had a dog or cat and $hich candy they preferred. This allo$ed the

    students to e'actly see ho$ this relates to their lives.

     The pre)assessment re%uired the students to look at a t$o)$ay table

    and ans$er a fe$ %uestions regarding the information from the table. In

    order to ans$er the %uestions the students needed to understand ho$ to

    read a t$o)$ay fre%uency table. The students also needed to understand

    that the numbers in the table represented the number of times someone

    chose that sport. T$o %uestions prompted a numerical ans$er and the third

    %uestions asked $hich sport $as the least popular. The students had to

    compare the fre%uencies.

     The students $ill learn ho$ to calculate relative fre%uency. I didnt feel

    as if this $as necessary to include on the pre)assessment because I kne$

    that no students $ould kno$ $hat it $as or ho$ it $as calculated, this $as

    on their post)assessment though. The post)assessment $as a %ui&. #tudents

    had to synthesi&e all the information they learned about t$o)$ay fre%uency

    tables to ans$er %uestions that are similar to the ones on the pre)

    assessment, in addition to %uestions regarding ne$ material.

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    I $ould collect a $orksheet at the end of each class to see ho$ $ell

    they understood the material and $hether or not I need to revie$ any of the

    topics. I created a note sheet for the students $here $e $ould do practice

    problems as a class and some parts individually. I $ould $alk around to make

    sure they $ere follo$ing along. Then I $ould allo$ them to complete the

    $ork $ith a partner or individually, depending on ho$ $ell they understood

    the material during instruction. I $ould continue to ask students %uestions

    throughout the instruction. I $ould also have students provide feedback on

    another students response by having them give me a thumb up or thumb

    do$n.

    On the !rst day, students $ere introduced to t$o)$ay tables and one

    associated vocabulary $ord fre%uency. It $as important that they

    understood ho$ to read a t$o)$ay fre%uency table. They $ere asked some

    %uestions regarding the information in table. Many of the students $ere able

    to easily understand the information in the table and ho$ to read it. "e

    created a class t$o)$ay fre%uency table. The students recorded the data as I

    collected it. I asked students $hether or not they had a cat or dog or both.

    On the second day, students $ere introduced to some more vocabulary

    $ords related to t$o)$ay relative fre%uency tables. I did the same thing that

    I did $ith the $ord fre%uency, I asked $hat they thought relative fre%uency

    meant. I had them break do$n the $ord relative because $e learned $hat

    fre%uency $as. They came to the conclusion that relative fre%uency $as a

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    fre%uency that sho$s ho$ that one fre%uency is related to the others. Then

    the students $ere taught ho$ it $as calculated.

     The third day consisted of e'plaining and practicing conditional relative

    fre%uency. "e practiced as a class and then the students $ere to do it on

    their o$n. They then had to synthesi&e the information form the past t$o

    lessons to ans$er %uestions about a t$o)$ay fre%uency table and calculate

    relative fre%uency and conditional relative fre%uency.

    In all three lessons, students $ere given note sheets that follo$ed

    along $ith the Po$erPoint. #ome received the completed note sheet because

    they have a hard time focusing and follo$ing along $hile $riting the

    information. This $ay, they only had to concentrate on one task.

    Many students had trouble calculating relative fre%uency. I think this is

    because there are so many steps involved and that its over$helming $hen

    they see the completed table. They feel as if its more $ork than they

    actually have to do. I $ant to chunk it up ne't time. I think I $ould teach

    relative fre%uency and then marginal relative fre%uency. In order for all or

    most students to understand, they need another day to learn the information

    and then practice it.

    I think that the main reason students did not perform so $ell on the

    post assessment is because they $ere caught o guard by the values of the

    fre%uencies being the same. -lthough $e never practiced a problem like

    that, the students should have been able to ans$er the %uestion. The

    students also had to create the t$o)$ay fre%uency table based o of the

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    information that $as given to them. I think it $as dicult for students to

    understand the information because there $ere fractions. I tried to use

    simple fractions like /01, but it $as still dicult for them. I should have

    practiced it $ould more dicult fractions like /02 and 3.

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    Alignment Table

    ObjectiveDistrict or State

    Standard

    Assessment Items

    from Pre- and Post-

    assessments

    Instruction/Lesson

    Plans

    #"(-T

    )de!ne fre%uency in order

    to interpret patterns of a

    t$o)$ay table

    )interpret patterns of a

    t$o)$ay table in order to

    construct a t$o)$ay

    table. 

    *.#P.+4 5nderstand that

    patterns of association

    can also be seen in

    bivariate6involving0depending on

    t$o variables7 categorical

    data by displaying

    fre%uencies in a t$o)$ay

    table. 8onstruct and

    interpret a t$o)$ay table

    summari&ing data on t$o

    categorical variables

    collected from the same

    sub9ects.

    #ho$n a t$o)$ay

    fre%uency table and

    asked %uestions

    regarding fre%uency. Pre4:/)2

    Post4 :;)//

    Must complete a t$o)$ay

    table $ith the information

    given

    Post4 :<

    )=esson /4 #tudents are

    asked $hat they believe

    fre%uency is based on

    prior kno$ledge of the$ord. They are then

    asked ho$ they think it

    relates to a t$o)$ay

    table.

    )T$o)$ay tables are

    analy&ed throughout all

    three lessons to

    determine dierent

    patterns in the data.

    )Throughout all three

    lessons, students must

    create a t$o)$ay table

    and then conclude

    information form thetable. The data $as

    either given or collected

    during class.88##.E=-)=iteracy.>#T.?)

    *.

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    information e'pressed

    visually 6e.g., in a

    @o$chart, diagram,

    model, graph, or table7.

    relates to a t$o)$ay

    table.

    ASSESSMENT DATA COLLECTION

    Basic Listing Of Official DataIMPACT ON STUDENT LEARNING

    Teacher: Jennifer Wong  Year:2015-2016

    Schl: Holabird STEM Program Se!ester: Spring

    Gra"e: 8 S#$%ect: Math

    STUDENT IDCODE

    POSSIBLE POINTS ON PRE&ASSESSMENT

    POINTS ON PRE&ASSESSEMENT

    PERCENTSCORE

    POSSIBLEPOINTS ON

    POST&ASSESSMENT

    POINTS ONPOST&

    ASSESSMENT

    PERCENTSCORE

    C'ANGEPRE TO

    POST (r &

    1 100! 100! 0!

    2 100! 100! 0!

    100! 100! 0!

    " 2 6#! 1 ! -!

    5 1 ! 2 6#! !

    6 100! 1 ! -6#!

    # 100! 2 6#! -!

    8 2 6#! 100! !

    $ 100! 2 6#! -!

    10 100! 2 6#! -!

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    Student DataStude

    nt

    MAP Mat MAP

    !eading

    Acievem

    ent

    Observations

    / /*2 /*2 E Talkative in class, shouts out correct ans$ers often, occasionally

    refuses to do $ork1 1+/ 11? 8 Auiet, completes all assignments but forgets to turn them in or

    loses them, often volunteers2 1/1 1/B ( 8ompletes assigned $ork, follo$s directions often, but Is

    talkative+ /*? 1B2 E Cery talkative, occasionally refuses to do $ork, has a hard time

    understanding te'tD /++ /?2 8 8alls out correct ans$er often, talkative, occasionally does

    minimal $ork? /*2 /*? E Talkative, often refuses to do $ork because he does not

    understand it and refuses to ask for help but takes it $hen

    oered< 1B< 1/+ 8 Cery talkative, $illing to do $ork, $ill ask for help

    * n0a n0a - Participates often, hard$orker

    ; n0a n0a ( #ome$hat shy, pays attention, she $ants to do $ell, but

    sometimes her friends distract her/B 1/+ 1/D - Cery talkative, hard for him to stay focused, al$ays $ants to

    participate// 1B* 1BB 8 Cery %uiet, hard$orker, he $ill al$ays try

    /1 1B1 /*2 Talkative, calls out ans$ers often, but they are correct, refuses

    to complete $ork if it is too dicult/2 1// 1/1 Cery %uiet, often needs help but refuses to ask for it

    /+ 1/2 /*1 8alls out ans$ers often, he $ill do some $ork, but then he gets

    distracted by friends

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    /D 1/? 1/< 8 #ome$hat %uiet, does her $ork, $ill submit $ork she kno$s is

    not her best eort but $ill not ask for help

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    Towson University

    Department of Secondary Education

    Day 1

    Name: Jennifer Wong

    "rief #lass Descri$tion %conte&tual information including number ofstudents' subject' level' I(P/(LL/)T or oter s$ecial considerations*+ *th 

    grade math

    ,nit+ #tatistics Lesson To$ic+ T$o)

    "ay Tables

    Prior no.ledge+fre%uency, reading a

    table

    Alignment+

    Standard Objective Assessment Activit%ies*

    *.#P.+4 5nderstand

    that patterns of

    association can

    also be seen in

    bivariate

    6involving0dependi

    ng on t$o

    variables7

    categorical data by

    displaying

    fre%uencies in a

    t$o)$ay table.

    8onstruct and

    interpret a t$o)$ay

    table summari&ing

    data on t$o

    categoricalvariables collected

    from the same

    sub9ects.

    88##.E=-)

    =iteracy.>#T.?)*.

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    %uantitative or

    technical

    information

    e'pressed in

    $ords in a te't$ith a version of

    that information

    e'pressed

    visually 6e.g., in

    a @o$chart,

    diagram, model,

    graph, or table7.

    Materials 0eeded+

    "orksheets, 8omputer

    Tecnolog Integration/0eeds+

    Po$erPoint, Promethean (oard

    Lesson Procedure:O$ening Activit %describe our .arm-u$' engagement/oo1/motivation*+

    #tudents $ill look at a t$o)$ay table. The t$o)$ay table is relatable to students

    because it sho$s ho$ many males and females en9oy $atching $hich sport. -t this

    age, many students are very interested in sports, so it $ill grab their attention.

    #tudents $ill be asked to gather some information about the table. This is simply to

    determine ho$ much the students already kno$, ho$ much they can learn on their

    o$n, and $hat needs to be taught. The students are not e'pected to get all the

    ans$ers correct.

    Time Allotted:D minutes

       Adaptations (for IEP, ELL, culture, and other special needs):Fone

    Transition (explicitly linking conceptsacti!itieso"#ecti!es):G=ets take a

    look at the table again, are there any other %uestions that $e can ask about this

    tableG

    Activit 2+ #tudents $ill look at a t$o $ay)table and gather information about the

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    table. They $ill learn about ho$ to read the table and understand the information

    sho$n. The students $ill be introduced to the term fre%uency and ho$ it applies to

    t$o $ay tables. The class $ill !rst look at the e'ample from the $arm)up and decide

    $hat other information can be gathered other than the information that $as

    determined from the $arm)up %uestions. These %uestions $ill be ans$ered together

    as a class. This $ill also determine ho$ students believe the t$o)$ay fre%uencytable should be read

      Time Allotted:/B minutes

       Adaptations: Fone

      Transition: H=ets take a look at one more before $e create our o$n.G

    Activit 3+ The class $ill look at another t$o)$ay table regarding chores and a

    curfe$. The students $ill !rst be asked to complete the table, They $ill do so on

    their o$n for about a minute and then $e $ill revie$ the ans$ers as a class. The

    %uestion regarding the information in the table $ill be asked. #tudents $ill have a

    chance to think about the ans$er on their o$n and then discuss $ith their table.

     Their ans$ers $ill then be shared. #tudents $ill then think of a %uestion that can be

    asked about the information in the table. Each group $ill have to come up $ith one

    %uestion and its ans$er. They $ill be given about 1 minutes to do so. Then the

    %uestion $ill be ans$ered by other tables. 

    Time Allotted:/B minutes

       Adaptations: Fone

      Transition: H=ets come up $ith our o$nG

    Additional Activit%ies* 4 The class $ill be surveyed in order to create their o$n

    and more relatable t$o)$ay table. The students $ill be asked $hether they have a

    cat, dog, both, or neither. This $ill be tallied. The students $ill then input the

    information into a t$o)$ay table. This $ill be done as a class. 

    #losing Activit+ #tudents $ill use the information that they gathered from the

    class data to ans$er a fe$ %uestions. This $ill be collected. 

    Towson University

    Department of Secondary Education

    Day 2

    Name: Jennifer Wong

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    "rief #lass Descri$tion %conte&tual information including number ofstudents' subject' level' I(P/(LL/)T or oter s$ecial considerations*+

    standard eighth grade math

    ,nit+ #tatistics Lesson To$ic+ T$o)

    "ay Jre%uency

     Tables

    Prior no.ledge+one lesson introduction

    of t$o)$ay fre%uency

    tables

    Alignment+

    Standard  Objective Assessment Activit%ies*

    *.#P.+4 5nderstand

    that patterns of

    association can

    also be seen in

    bivariate

    6involving0dependi

    ng on t$o

    variables7

    categorical data bydisplaying

    fre%uencies in a

    t$o)$ay table.

    8onstruct and

    interpret a t$o)$ay

    table summari&ing

    data on t$o

    categorical

    variables collected

    from the same

    sub9ects.

    #"(-T

    )de!ne fre%uency

    in order to

    interpret patterns

    of t$o)$ay tables.

    )interpret patterns

    of t$o)$ay tables

    in order toconstruct a t$o)

    $ay table.

    8onstruction of a

    t$o)$ay relative

    fre%uency table

    )e!ning and

    calculating relative

    fre%uency

    )Introduction of

    three dierent

    types of relative

    fre%uency

    Materials 0eeded+

    8omputer, day 1 $orksheets

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    Tecnolog Integration/0eeds+

    8omputer, Promethean (oard

    Lesson Procedure:O$ening Activit %describe our .arm-u$' engagement/oo1/motivation*+

    Jor the $arm)up, the students $ill be asked $hy someone $ould use a t$o)

    fre%uency table and $hat kind of information they could gather from a t$o)$ay

    fre%uency table. The ans$ers $ill be discussed as a class as students $rite do$n the

    class ans$ers.

    Time Allotted:D minutes

       Adaptations: Fone

    Transition: H=ets revie$ $hat a t$o)$ay table looks like.G - picture of a t$o $ay

    table $ill be sho$n. The t$o)$ay table is blank and the students $ill be asked $hat

    goes in the categories. 

    Activit 2 %describe activit*+ The term relative fre%uency $ill be discussed $ith

    the students. The students $ill be asked $hat they think the term means based on

    yesterdays de!nition of fre%uency and their previous kno$ledge of the termrelative. Then the three types of relative fre%uency $ill be discussed and e'plained.

    - chart to determine ho$ the fre%uencies are calculated $ill be sho$n to the

    students. They are to copy this do$n on their $orksheets.

    Time Allotted: /B minutes

       Adaptations: Everything is on the $orksheet so students can follo$ along in the

    Po$erPoint. They $ill be actively learning as they listen, discuss, and take notes.

      Transition: H=ets look at an e'ampleG

    Activit 3 describe activit*+ The students $ill be sho$n an e'ample. The 9oint

    relative fre%uencies of each cell $ill be computed. Then the marginal relative

    fre%uency $ill be calculated. -fter both of those fre%uencies are calculated, the

    students $ill compare those calculations to the ones in the table to ensure that they

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    calculated correctly. This is done as a class.

    Time Allotted: /B minutes

       Adaptations: Everything is on the $orksheet so students can follo$ along in thePo$erPoint. They $ill be actively learning as they listen, discuss, and take notes.

      Transition: H=ets do one moreG

    Additional Activit%ies* + #tudents $ill be given another t$o)$ay fre%uency table

    that they must complete and !nd the relative fre%uency of. "e $ill complete the !rst

    ro$ as a class. epending on ho$ $ell the students understood the material during

    instruction $ill determine $hether or not they $ill $ork independently or $ith a

    partner. #tudents must also !nd the marginal relative fre%uency. This $ill becollected. The table is partially completed.

    #losing Activit+ -sk students ho$ relative fre%uency is calculated and $hat

    number they must divide the fre%uency. 

    Towson University

    Department of Secondary Education

    Day 3

    Name: Jennifer Wong

    "rief #lass Descri$tion %conte&tual information including number ofstudents' subject' level' I(P/(LL/)T or oter s$ecial considerations*+

    standard eighth grade math

    ,nit+ #tatistics Lesson To$ic+ T$o)

    "ay Tables

    Prior no.ledge+ t$o lessons about t$o)

    $ay tables, fre%uency

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    Alignment+

    Standard Objective Assessment Activit%ies*

    *.#P.+4 5nderstand

    that patterns ofassociation can

    also be seen in

    bivariate

    6involving0dependi

    ng on t$o

    variables7

    categorical data by

    displaying

    fre%uencies in a

    t$o)$ay table.

    8onstruct and

    interpret a t$o)$ay

    table summari&ing

    data on t$o

    categorical

    variables collected

    from the same

    sub9ects.

    #"(-T

    )de!ne fre%uency

    in order to

    interpret patterns

    of t$o)$ay tables.

    )interpret patterns

    of t$o)$ay tables

    in order to

    construct a t$o)

    $ay table.

    8ompleted relative

    fre%uency tableand ans$ered

    %uestions

    regarding t$o)

    fre%uency table

    and conditional

    relative fre%uency.

    Kather class data

    to create a t$o)$ay fre%uency

    table. Jind

    conditional relative

    fre%uency based

    o data from given

    data.

    Materials 0eeded+

    8omputer, day 1 $orksheets

    Tecnolog Integration/0eeds+

    8omputer, Promethean (oard

    Lesson Procedure:O$ening Activit %describe our .arm-u$' engagement/oo1/motivation*+

    Jor the $arm)up, the students $ill be asked to complete a t$o)$ay fre%uency table

    based on the given information. The ans$ers $ill be revie$ed as a class.

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      Time Allotted:D minutes

       Adaptations: Fone

    Transition: HFo$ lets take a look at this completed table and calculate the

    relative fre%uency.G 

    Activit 2 %describe activit*+ The term conditional relative fre%uency $ill be

    reintroduced to the term conditional relative fre%uency. I $ill revie$ $ith the

    students the de!nition of conditional relative fre%uency and ho$ it is calculated. I

    $ill do t$o e'amples of calculating relative fre%uency based on the t$o)$ay table

    from the $arm)up.

    Time Allotted: /D minutes

       Adaptations: Everything is on the $orksheet so students can follo$ along in the

    Po$erPoint. They $ill be actively learning as they listen, discuss, and take notes.

      Transition: H"hy dont you try t$o on your o$nLG

    Activit 3 describe activit*+ The students $ill be sho$n t$o problems that they

    $ill complete on their o$n. "hen they are !nished, I $ill ask for student volunteers

    to put up their ans$ers. These t$o problems are also based o of the t$o)$ay

    fre%uency table from the $arm)up.

    Time Allotted:/B minutes

       Adaptations: #tudents can follo$ along easily on their note sheet.

    Transition: H=ets create a t$o)$ay fre%uency table based o our classG

    Additional Activit%ies*+ The class $ill be surveyed based on $hich candy theylike better. "e $ill complete the t$o)$ay fre%uency table as a class. #tudents $ill

    record the data on their $orksheets. Then they $ill ans$er a fe$ %uestions

    regarding the information from the table. They $ill also be asked to !nd the relative

    fre%uency and conditional relative fre%uency of the table. The $orksheet $ill be

    collected. If it is not !nished in class, it $ill be !nished for home$ork. 

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    #losing Activit+ %summari5e learning and/or revisit objective+ "e $ill

    verbally revie$ ho$ conditional relative fre%uency is found, ho$ relative fre%uency is

    calculated, and $hat the purpose of t$o)$ay fre%uency is. #tudents $ill be reminded

    that a %ui& $ill be given the ne't day. 

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    Pre-Assessment and Pre-Assessment Artifacts

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