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Transcript of 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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