503 program development report

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PROGRAMDEVELOPMENTREPORT

NameofDeveloper:KrisMesler Date:May11,2008

1. Overview

Program Title: Proportional Reasoning: Using Relationships

Grade or age level(s): 7th or 8th grade Pre-Algebra students

Major goal: The students learn to approach thecreation of a proportional equation from severaldifferent angles and show understanding by

creating and calculating proportions based onratios that are directly proportional.

2. Program Description

Instructional Objectives:

1. The student will write and solve proportions correctly using the Means andExtremes Property, when given three of the four proportion values.

2. The student will use similar figures to correctly create proportional ratios.

3. The student will create tables to illustrate proportional reasoning.

4. The student will use tables to compute comparative ratios.

5. The student will use calculated proportions to create correlating graphs.

6. The student will use correlating graphs to find other values with the sameproportional quantity.

7. The student will apply the knowledge he/she gained about proportions tocomplete a real-life activity.



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Materials:

The Proportional Reasoning: Using Relationships unit consists of all thematerials needed for instruction and assessment on the unit content andobjectives including:

Teacher Guide:Contains lesson-by-lesson instructional procedures for the unit andPowerPoint slides, student activity sheets, teacher examples, and studentanswer keys.

Student Materials:The student materials needed for each lesson are included with eachlesson plan for ease of teacher use, but could be separated into a studentmanual, if desired.

Student and Teacher activity sheets and PowerPoint slides are providedwith the unit. The rest of the materials listed below, must be provided bythe school:

• Access to a computer lab

• SMARTboard

• Meter sticks or tape measure with metric

• Graph paper

• Paper, pencil

• Photocopied activity sheets

3. Tryout

Participants: The participants were 24 8th grade studentsenrolled in Pre-Algebra at a local charter school in a self-contained classroom.

Process:

One instructor presented the materials as described in the ProportionalReasoning: Using Proportions unit Teacher Guide. The instructor guided, withexamples, the instruction and discussions with each activity. The instructor thenallowed time with each lesson to complete the activity before the next classperiod. At the conclusion of each lesson, both the students and instructorscompleted attitude surveys. For purposes of this report, the scores wereconsolidated in the results, but comments on individual lessons were consideredseparately. The unit took 3 days to finish, with each day containing more than



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one lesson. The instructor was able to add more math time, due to being a self-contained classroom.

Data Source and Collection:

The Proportional Reasoning: Using Relationships activities are exercises thatrequire completion of several hands-on activities, activity sheets, graphs, and aculminating real-life activity. These activities are evaluated separately throughoutthe unit, using a combination of rubrics, class discussions, and demonstrationsby students. The activities are evaluated by the criteria presented in Tables 1.0-7.1. The instructor and student attitude surveys were created to collect field testdata beneficial for revision of the program.

4. Results

Assessment performance:

The mean percentage score of the field-test students on the required andenrichment assessments are shown by evaluation criteria component for eachlesson in Tables 1.0 – 7.1. The tables reveal that the students completed therequired and enrichment assessment activities with the following mean scores:

Required ActivityMean

Enrichment ActivityMean

Lesson 1 97% 98%

Lesson 2 91.8% 96%

Lesson 3 91.8% 96%

Lesson 4 80% 86%

Lesson 5 96% 95%

Lesson 6 99% 97%

Lesson 7 88.75% 100%

Students scored 80 percent or above in every criteria component of the requiredactivities. Scores on the enrichment activities never dipped below 86%.Students also showed mastery overall, scoring an average of 96.25% on the finalassessment.



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Student Attitudes:

Responses to the student reaction surveys are summarized in Appendix B. Thetable reveals an overall positive attitude to the unit. 77 percent of all responsesfall within the positive categories of agree and strongly agree, including 100percent of responses to 52 of 70 the lesson questions asked about ten Likert

items. The table also indicates that 94 percent of students agreed the contentwas worthwhile to learn, 98 percent reported they liked the lessons, and 99%said they would be able to apply proportional reasoning in future word problems.All students were willing to add comments in respect to improving the lessons for future use.

Teacher Attitudes:

The responses of the field-test instructor to the instructor survey are summarizedin Appendix A. One-hundred percent of responses from the instructor fell into the“agree” or “strongly agree” categories to all items. The instructor averaged“strongly agree” to the items:

• There was solid agreement between the instructor and student materials

• The examples and SMARTboard activities were helpful

• The assessment was appropriate

The instructor averaged “agree” to “strongly agree” to the rest of the items, andwould use this unit again.

Classroom observation:During the field-testing of the unit students were engaged and showed interest inthe material and lessons, with the exception of the latter part of Lesson 4, wherestudents seemed to be tired of working after the first part of the activity. Thereappeared to be a few terms used during the unit that should have beenintroduced to the students’ vocabulary before the lessons began. The majority of the students enjoyed the lessons enough to take advantage of the enrichmentactivities, including the baking of cookies for the class.

The instructor did a great job of following the provided materials, and as a mathteacher, was able to fill the gap of new vocabulary from his own knowledge of thesubject. Also, the instructor was able to implement great class discussionsbecause of his vast knowledge and experience.



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5. Revisions

A number of revisions to the unit were identified as a result of the field test. Amodification indicated by both the instructor and the students was the reductionof work involved in Lesson 4. This revision has not yet been completed, but willeasily be done by shortening the length of the activity sheet for Lesson 4. Thiswill give students and teachers more time for interaction during the lesson. Asecond revision, not yet completed, is the addition of a vocabulary list for eachlesson. Several of the questions throughout the unit were due to lack of knowledge of proportion vocabulary, and the instructor and students felt it was asetback to gaining the new knowledge of each lesson. A third revision camefrom the instructor’s comments, when he said he would like more topics for classdiscussion outlined in the lesson procedure during those lessons when classdiscussions are scheduled to occur. This revision is yet to be completed. Noneof the three revisions will be too complicated to implement, just time-consuming.The three revisions are currently in process.



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Table 1.0

Lesson 1 - Using the Means/Extremes Property

Performance on Lesson 1 by Grading Criteria

Criteria % Required ActivityMean

% Enrichment Activity*Mean

Assignment completedon time

100% 100%

Figure’s height measureswithin 0.5cm of the

correct height100% NA

Table is created correctly

and calculations arecorrect

NA 96%

Written explanationshows good thinking andcalculations are correct

92% NA

Poster board figure isneat and creative in

design96% NA

Weighted Mean Totals 97% 98%

*19 of 24 (79.2%) students completed the enrichment activity



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Table 1.1


Activity Scoring Rubric

Lesson 1 Baseball BatActivity Rubric

Points Possible Score

Assignment completed on time 1

Figure’s height measures within 0.5cmof the correct height

1

Written explanation shows goodthinking and calculations are correct

1

Poster board figure is neat and

creative in design 1

TOTAL 4

Table 1.2


Enrichment Scoring Rubric

Lesson 1 EnrichmentActivity Rubric

Points Possible Score

Assignment completed on time 1

Table is created correctly andcalculations are correct

1

TOTAL 2



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Table 2.0

Lesson 2 - Creating Proportional Ratios





100% 100%

Fulfill team role 100% NA

Share information 92% NA

Listen to other teammates

79% NA

Cooperate withteammates 88% NA

Calculates three other heights using theShadow Method

NA 100%

Student writes report onfindings

NA 87%

Weighted Mean Totals 91.8% 96%

*23 of 24 (96%) students completed the enrichment activity



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Table 2.1



Lesson 2ActivityRubric

0 points 1 point 2 points 3 points Totalpoints

Completion

ofAssignment(Scored by

teacher)

Did notcomplete

assignment

Completedless than1/2 of the

assignment

Completedmore than1/2 of the

assignment

Completedall of the

assignment

Fulfill teamrole

Does notperform

any of assigned

duties

Performslittle duties

Performsnearly all

duties

Performs allof assigned

team duties

Shareinformation

Does notrelay any

informationto

teammates

Relays verylittle

information-some

relates tothe topic

Relayssome basicinformation-

mostrelates tothe topic

Relays agreat deal

of information-all relates

to the topicListen to

other

teammates

Is alwaystalking-

never allowsanyoneelse tospeak

Usuallydoing most

of thetalking-rarelyallows

others tospeak

Listens butsometimes

talks toomuch

Listens andspeaks a

fair amount

Cooperate

with

teammates

Usuallyargues withteammates

Sometimesargues

Rarelyargues

Never argues

TOTALSCORE=



10

Table 2.2



Lesson 2Enrichment

Activity Rubric

0 or 1 pt. Points Scored

Assignment

completed on time

Calculates three other

heights using the

Shadow Method

Student writes reporton findings

TOTAL SCORE=



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Table 3.0

Lesson 3 - Creating Tables





100% 100%

Fulfill team role 100% NA

Share information 92% NA

Listen to other teammates

79% NA

Cooperate withteammates 88% NA

Calculates three other heights using theShadow Method

NA 100%

Student writes report onfindings

NA 87%





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Table 3.1

Lesson 3 – Creating Tables

Group Work Scoring Rubric


0 points 1 point 2 points 3 points Totalpoints

Completionof

Assignment

(Scored by

teacher)

Did notcomplete

assignment

Completedless than1/2 of the

assignment

Completedmore than1/2 of the

assignment

Completedall of the

assignment

Fulfill team

role

Does not

performany of

assignedduties

Performs

little duties

Performs

nearly allduties

Performs all

of assignedteam duties

Share

informationDoes notrelay any

informationto

teammates

Relays verylittle

information-some

relates tothe topic

Relayssome basicinformation-

mostrelates tothe topic

Relays agreat deal

of information-all relates

to the topicListen to

otherteammates

Is always

talking-never allowsanyoneelse tospeak

Usually

doing mostof the

talking-rarelyallows

others tospeak

Listens but

sometimestalks too

much

Listens and

speaks afair amount

Cooperate

withteammates

Usuallyargues withteammates

Sometimesargues

Rarelyargues

Never argues

TOTAL

SCORE=



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Table 4.0

Lesson 4 – Using Tables to Compute Ratios




Completion of assignment

79% 100%

Correctness of assignment

79% NA

Volunteer to displayexercises on board

83% NA

Completed ratios of other

family members NA 100%

Obtained info on previouscenturies and created

Vitruvian ratiosNA 58%





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Table 4.1




0 points 1 point 2 points 3 points

Completionof

assignment

Did notcomplete

assignment

Completedless than 1/2

of theassignment

Completedmore than 1/2

of theassignment

Completed allof the

assignment

Correctnessof

assignment

None of assignmentwas done

correctly

Less than 1/2of assignment

was done

correctly

More than 1/2of assignment

was done

correctly

All of theassignmentwas done

correctlyVolunteer to

display

answers on

board

Did notvolunteer

Volunteeredat least once

Volunteeredmore than

once

Volunteerednumerous

times

TOTALSCORE =

Table 4.2



Lesson 4Enrichment

Rubric

0 or 1 point Points Scored

Completion of

assignmentCompleted ratios of

other family members

Obtained info on

previous centuriesand created Vitruvian

ratios

TOTAL SCORE =



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Table 5.0

Lesson 5 – Creating Correlating Graphs





96% 100%


92% NA


100% NA

Correct Creation of Direct

Proportion Word Problem NA 100%

Correct Creation of Tableand Graph

NA 86%





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Table 5.1





Completionof

assignment

Did notcomplete

assignment


of theassignment


of theassignment

Completed allof the

assignment

Correctness

ofassignment

None of

assignmentwas donecorrectly

Less than 1/2

of assignmentwas donecorrectly

More than 1/2


All of the


Volunteer to

displayanswers on

board

Did notvolunteer



once

Volunteerednumerous

times

TOTALSCORE =

Table 5.2



Lesson 5Enrichment

Rubric


Completion of

assignment

Correct Creation of DirectProportion Word Problem

Correct Creation of Table

and Graph

TOTAL SCORE =



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Table 6.0

Lesson 6 – Finding Other Proportional Values





100% 100%


100% NA


96% NA

Correct Creation of Direct

Proportion of Gas Prices NA 100%

Correct Creation of Graph of Gas Prices

NA 92%





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Table 6.1

Lesson 6 - Finding Other Proportional Values




Completionof

assignment

Did notcomplete

assignment


of theassignment


of theassignment

Completed allof the

assignment

Correctness

ofassignment

None of


Less than 1/2


More than 1/2


All of the


Volunteer to

displayanswers on

board

Did notvolunteer



once

Volunteerednumerous

times

TOTALSCORE=

Table 6.2

Lesson 6 - Finding Other Proportional Values


Lesson 6Enrichment

Rubric



Correct Creation of DirectProportion of Gas Prices

Correct Creation of Graphof Gas Prices

TOTAL SCORE =



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Table 7.0

Lesson 7 – Christmas Cookie Caper Web Quest




Did you follow directions? 96% NA

Does your spreadsheetreflect the quantities of

ingredients in therecipes?

92% NA

Is your shopping list

complete and correct?

79% NA

How did you rate in your contribution and

participation in your group?**

88% NA

Extra Credit: Did youmake and bring to classcookies from one of your project recipes?

NA 100%


*9 of 24 (37.5%) students completed the enrichment activity**student will use the group work rubric from Lesson 6 to receive score for this

section (teacher will calculate the score after group input)



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Table 7.1

Lesson 7 – Christmas Cookie Caper Web Quest

Activity and Enrichment Scoring Rubric

Lesson 7Activity andEnrichment

Rubric

Excellent

90 – 100%

Adequate

70 – 89%

Insufficient

0 – 69%

Did you followdirections?

(25 pts.)

Followed all of thedirections

Followed most of thedirections

Did not followdirections

Does your spreadsheet reflect

the quantities of ingredients in the

recipes?

(25 pts.)

Calculations andgraphs are done

correctly

Most of thecalculations were

done correctly; graphwas completed

correctly

Most of thecalculations wereincorrect and/or graph was done

incorrectly

Is your shopping listcomplete and

correct?

(25 pts.)

Compiled list wasorderly and

calculated correctly

Compiled list wassomewhat orderly

and mostly calculatedcorrectly

List was in disarray or most calculations

were done incorrectly

How did you rate inyour contribution andparticipation in your

group?

(25 pts.)

Rated highly by themembers of the team

Rated somewhathighly by the

members of the team

Rated poorly by themembers of the team

ExtraCredit:Didyoumake

andbringtoclasscookies

fromoneofyourproject

recipes?

(15 pts.)

Made and broughtcookies to class from

project recipe

Did not make andbring cookies to class

from project recipe



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Table 8.0

Final Assessment

Range Scores

0 - 59% 60 – 69% 70 – 79% 80 – 89% 90 – 100%

# students 1 3 20

Average Score for final assessment = 96.25%



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Appendix A

Instructor Survey

Please do not write your name on this survey.

Your responses to the following items will be used to evaluate and improve the

instructional lesson. Please circle your response to each statement.

SA - Strongly Agree A – Agree N – neutral D – disagree

SD – Strongly Disagree

SA A N D SD

1.Theinstructor materialswere well

organized.

Lesson 1 100%

Lesson 2 100%

Lesson 3 100%

Lesson 4 100%

Lesson 5 100%

Lesson 6 100%

Lesson 7 100%

2. There wassolidagreementbetween theinstructor and studentmaterials.

Lesson 1 100%

Lesson 2 100%

Lesson 3 100%

Lesson 4 100%Lesson 5 100%

Lesson 6 100%

Lesson 7 100%

3. I receivedadequateinstruction for teaching thelesson.

Lesson 1 100%

Lesson 2 100%

Lesson 3 100%

Lesson 4 100%

Lesson 5 100%

Lesson 6 100%

Lesson 7 100%

4. Thecontent was

Lesson 1 100%

Lesson 2 100%



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worthwhile tolearn.

Lesson 3 100%

Lesson 4 100%

Lesson 5 100%

Lesson 6 100%

Lesson 7 100%

5. Thepracticematerialshelped thestudentslearn.

Lesson 1 100%

Lesson 2 100%

Lesson 3 100%

Lesson 4 100%

Lesson 5 100%

Lesson 6 100%

Lesson 7 100%6. TheexamplesandSMARTboardactivitieswere helpful.

Lesson 1 100%

Lesson 2 100%

Lesson 3 100%

Lesson 4 100%

Lesson 5 100%

Lesson 6 100%

Lesson 7 100%

7. The step-by-stepdirectionswere clear.

Lesson 1 100%

Lesson 2 100%

Lesson 3 100%

Lesson 4 100%

Lesson 5 100%

Lesson 6 100%

Lesson 7 100%

8. Theassessmentwasappropriate.

Lesson 1 100%Lesson 2 100%

Lesson 3 100%

Lesson 4 100%

Lesson 5 100%



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Lesson 6 100%

Lesson 7 100%

FINALAssessment

100%

9. I liked thelesson.

Lesson 1 100%

Lesson 2 100%

Lesson 3 100%

Lesson 4 100%

Lesson 5 100%

Lesson 6 100%

Lesson 7 100%

10. I would

use thislesson again.

Lesson 1 100%

Lesson 2 100%

Lesson 3 100%

Lesson 4 100%

Lesson 5 100%

Lesson 6 100%

Lesson 7 100%

11. What

could bedone toimprove thelesson?

Lesson 1 Lesson was fine as is

Lesson 2 Fun outside activity! Could use a vocabulary wordlist.

Lesson 3Add or change example to use decimal quantitiesinstead of whole amounts.

Lesson 4

The activities took more time than was allotted.The first activity was enough to get the pointacross.Also, on recording sheet, the measurements will beeasier to calculate if they are in cm, not inches.

Lesson 5A vocabulary list would help with this lesson.Also, some topics for class discussion would helpin my leading the discussion.

Lesson 6Lesson was done before time allotted. Timeframeneeds to be adjusted.

Lesson 7Great idea for a real-life lesson! Students werevery involved with the lesson!



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Appendix B

Participant Survey

Please do not write your name on this survey.

Your responses to the following items will be used to evaluate and improve theinstructional lesson. Please circle your response to each statement.

SA - Strongly Agree A – Agree N – neutral D – disagree

SD – Strongly Disagree

SA A N D SD

1.The

studentmaterialswere wellorganized.

Lesson 1 80% 20%

Lesson 2 87% 13%

Lesson 3 90% 10%

Lesson 4 75% 13% 12%

Lesson 5 75% 25%

Lesson 6 80% 16% 4%

Lesson 7 96% 4%

2. Iunderstood

what I wassupposed tolearn.

Lesson 1 78% 22%

Lesson 2 85% 15%Lesson 3 92% 8%

Lesson 4 80% 12% 8%

Lesson 5 72% 16% 12%

Lesson 6 79% 21%

Lesson 7 90% 10%

3. Thecontent wasworthwhile tolearn.

Lesson 1 74% 26%

Lesson 2 81% 15% 4%

Lesson 3 79% 13% 8%

Lesson 4 7% 65% 28%

Lesson 5 68% 32%

Lesson 6 74% 22% 4%

Lesson 7 94% 6%



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4. Theteachingmethod wasa good wayfor me to

learn.

Lesson 1 92% 8%

Lesson 2 88% 12%

Lesson 3 75% 25%

Lesson 4 72% 28%

Lesson 5 81% 19%

Lesson 6 85% 15%

Lesson 7 92% 8%

5. The lessonprovidedenoughpractice.

Lesson 1 96% 4%

Lesson 2 89% 11%

Lesson 3 75% 25%

Lesson 4 90% 10%

Lesson 5 89% 11%Lesson 6 86% 14%

Lesson 7 96% 4%

6. TheexamplesandSMARTboardactivitieswere helpful.

Lesson 1 85% 15%

Lesson 2 88% 12%

Lesson 3 81% 15% 4%

Lesson 4 78% 18% 4%

Lesson 5 90% 10%

Lesson 6 96% 4%

Lesson 7 74% 18% 8%

7. The step-by-stepdirectionswere clear.

Lesson 1 88% 12%

Lesson 2 90% 10%

Lesson 3 82% 10% 8%

Lesson 4 48% 40% 12%

Lesson 5 89% 11%

Lesson 6 84% 16%Lesson 7 100%

8. I learnedsomethingnew about

Lesson 1 90% 10%

Lesson 2 80% 20%

Lesson 3 78% 18% 4%



proportions. Lesson 4 35% 61% 4%

Lesson 5 89% 11%

Lesson 6 74% 18% 8%

Lesson 7 87% 13%

9. I liked thelesson aboutproportions.

Lesson 1 96% 4%

Lesson 2 80% 20%

Lesson 3 75% 25%

Lesson 4 70% 14% 8% 8%

Lesson 5 92% 8%

Lesson 6 72% 28%

Lesson 7 96% 4%

10. I wouldbe able touseproportionssuccessfullyin the future.

Lesson 1 96% 4%Lesson 2 88% 12%

Lesson 3 78% 22%

Lesson 4 70% 22% 8%

Lesson 5 88% 12%

Lesson 6 92% 8%

Lesson 7 96% 4%

11. What

could bedone toimprove thelesson?

Lesson 1 Really liked the demonstration with the bats (13)

Lesson 2 Loved going outside (18)

Lesson 3Didn’t know for sure what to do with decimals inproportion (13)

Lesson 4The activities were too long (14)Had trouble with measurements when trying to findthe ratio amount (19)

Lesson 5Didn’t understand some of the words they wereusing (5)

Lesson 6

Had lots of time left over to goof off (7)

Pretty easy (9)

Lesson 7Loved it! The assignment took quite a bit of time, butliked it. (16)

503 program development report

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