instructional design binder
DESCRIPTION
Spring 2012 Rudy Valentino My final project binderTRANSCRIPT
Rudy Valentino
April 2012
1. Introduction
2. Reflections
3. Audience Description
4. Learning Style Tests
5. Timeline & Unit Outline
6. Lesson 1
a. Lesson Plan
b. Technology Used
c. Rubrics
7. Lesson 2
a. Lesson Plan
b. Technology Used
c. Rubrics
8. Presentation
a. Audience
b. Learning Style
c. Technology
d. Lesson 1 – Day 1
e. Lesson 1 – Day 2
f. Lesson 2 – Day 1
g. Lesson 2 – Day 2
h . Assessments
9. Assessments/Projects
a. Chapter Test
b. Project Overview
c. Students Projects
10. Final Project Rubric
11. References
Education
J .P. St e ve ns H.S . - 1997
Rutge rs - Colle ge o f Engine e ring
B.S. Cera m ic a n d Ma ter ia ls En gin eer in g - 2001
Alte rnate Route for Te ac h ing – 2004
Se ton Hall Unive rs ity – Co lle ge o f Educ at ion
M.A. In s t ru ct ion a l Des ign a n d Tech n ology
Career
Linde n High Sc hool Mathe m at ic s Te ac he r
2004 – Pres en t
Linde n High Sc hool Wre s t ling Coac h
2006-Pres en t
Journal – Rudy Valentino
Week 1 Reflections
Book: Chapter 1
This chapter was interesting and the author made some valid points. I agree with
the fact it is important to constantly build upon previous work, and I am constantly doing
so every year I reteach a subject. The same material is covered and the assessments come
from the same mold, but based on new technology implemented and varied learning
styles changing, the teaching methods I use are adapted and expanded on to meet the
current needs of students. Over the six short years I have been teaching I have evolved
from hand written tests based on boring lectures from the book, written on blackboards
with chalk. Now I have document readers, projectors, note-assisted lectures, computer
generated tests, and a white board (no more chalk riddled pants).
The project described seemed good in theory, but as the author said there are
many questions left unanswered in the presentation of it to the students. I feel the when
giving a project to students (especially when groups are involved) it is important to beat
them to their questions, and already have everything they could possibly think of asking
outlined on the rubric. And this is unfortunately mastered by repeating the project and
improving on it, because unless you are using someone else’s proven project, the one you
created will take a couple of tries to come to fruition. This ensures that their final project
will be what you are looking for, and leaves minimal area for misinterpretation of the
actual project. Unfortunately as with all assignments there will still be problems. I gave
a project on transformations last month with exactly what I was looking for outlined on
handout and on the board, and still had students not understand what the had to turn in.
As far as the software requirements go in today’s society, for the most part by high
school every student knows as much if not more than most of their teachers (of course not
me though), so I rarely will have a problem. And hardware is even better because now a
day, over half the students have a camera, video camera, and even internet in their
pockets on their smart phones. In the transformation assignment I referred to earlier I had
students work in groups of four taking still pictures and videos of various transformations
in a controlled environment. Before the assignment I checked to see if each group had at
least one person with a smart phone in it, and to my surprise each one did without me
having to switch anyone around.
All of the goals and ideas are interesting and for the most part important when
developing a project, however to be able to include them all in one project may be a little
overzealous. I believe it should be learner centered and task orientated, along with giving
the students some type of freedom to choose how to come about their final answer. They
should be able to come about the final outcome of their project how they see fit as long as
the achieve the desired result.
Book: Chapter 2
Over the years I have introduced projects into the learning environment in an
effort to try and maximize the learning experience for my students. Over those years I
have both succeeded and failed at creating interesting, fun, and educational projects for
the students to complete a couple times a year. They were all very different, however
focused on the same goal. To try and approach the students learning the material by
utilizing different assessment methods.
Any time I created a project, the first thing I took into account was how the
students would react to it. I was hoping to create one that would motivate and engage, yet
challenge them, all while teaching a concept. I try to look at it though their point of
views and not make it a boring research assignment or tedious array of problems. On the
other hand, I still have to make sure I focus on the lesson making sure that all the core
curriculum standards are met. Because as fun as projects could be made, if the don’t
relate to the subject, they are pointless in the classroom.
The didactic verse constructive teaching comparison in the book was very
interesting. As with everything, education has evolved. I believe didactic learning was a
good start but has evolved into constructive learning along the way. Will this be the last
type of learning, probably not. For now I believe it is the best method we have at our
disposal for the most part. There are parts where the direct method and drilling are
important (especially in math with practicing problems based on different methods of
solving), but in order to understand how the methods work, students learn best by
discovery based learning. With all the different learning styles and ways students
interests are maintained it is important to be able to balance the use of both teaching
methods. When this balance is found, the majority of the students in a class can be
reached at for a greater amount of time leading to a more productive learning
environment.
Project Status
I am going to try and stay on top of my project as we move along. Everything we
do I am currently converting into a visual medium on power point. I plan on making
slides there with mostly visual aspects attached to them, and then place the slides into
prezi for my final presentation. I feel this will be the best way to show how my
presentation skills have evolved in unison with my time here at Seton Hall. So far I have
my introductory slide and a couple on my audience. They involve the school makeup,
my class makeup, and my classes learning styles. By making these slides as I go I will
not be swamped at the end of this class and be able to modify it as I see fit putting forth
the best possible presentation for you. Hopefully this strategy works, but I won’t know
till April.
Rudy Valentino
Journal – Rudy Valentino
Week 2 Reflections
Book: Chapter 3
Every year a teacher’s class and their students change along with the methods of
learning that best fit these students. This is why a course could not be taught the same
way each year and it is up to a teacher to modify their lessons to fit the desired needs of
their new classes. The same goes for PBL’s. As the book states teachers tend to take
successful projects from other teachers and adapt them to their style, but I feel it is just as
important to do the same to your previous lessons to keep up with the exponentially
increasing technology used in the classroom.
In math I feel that the most important purpose of a project is to show the students
how the mathematical processes they are studying are related to real life. As far a
greeting card project goes, I would not be interested for a couple of reasons. First, it does
little to help in a Geometry class, and second I will not touch on anything that might
offend anyone’s religious, ethical, or moral beliefs. You never know who will get
offended in today’s “sue-happy” world. When my wife taught an inclusive pre-school
class in Long Branch she had a parent come to her and complain over a “grinch dust”
project she sent home with her students. A parent that thought it was inappropriate for
their child even though it was an outlined activity in a book for pre-school teachers as a
fun holiday project. In the end she had to discontinue it anyway because of the concerns
of one parent.
My class architecture is fine, and I teach in a newer building across the street from
the main high school. My building is much newer and my classroom is actually part of
an addition that is less those seven years old. It is quite large and I have my seats
grouped in sets of four to create a cooperate learning environment. I also have projects
around the room, along with bright bulletin boards in an effort to create a relaxing
learning environment.
The last projects I have had my students complete involved them going outside of
the classroom into the park adjacent to my building and take pictures and videos of
different types of transformations they saw with their phones. About half the student
enjoyed it, a quarter were indifferent, and a quarter wanted to go back into the classroom.
I was lucky with a 55 degree day in December when I employed the project, but that was
because I left a three day window on when I was going to schedule it. I have not done a
physical fitness or history project in class, however stress to the students importance of
staying in shape, eating right, and how history tends to repeat itself. Obliviously being a
math teacher all m projects are focused of math, with science being implemented in some
of them. I don’t consider the authors four examples as good projects for math, but if used
in conjunction with a greater project, they could be useful.
In projects I have had my students use clipart, word or PowerPoint to group
multiple pictures into one drawing (I included past bulletin boards on my webpage). For
the most part I will create the slide show of the classes finished projects grouped together
for presentations based on this. Being that over 50% of my school is eligible for free or
reduced lunch and our library hours after school have been scaled back due to budget
constraints, I currently do not require students to place their final projects in presentation
form and if they give me pictures on a flash drive or e-mail I will gladly do it for them. I
will then project it but have them talk about it to the class. As far as the other methods
go, we do not have the time or utilities at our disposal in class to make them work yet.
Hopefully as time goes on and prices are lowered, we will receive the tools necessary to
make all of this possible.
Book: Chapter 4
I believe that because a student's learning is currently based on constructivism,
PBL’s are more important now then they were in the past when it involves teaching
concepts to students. I also believe that situated learning, motivation theory, inquiry-
based leaning, and cooperative learning are all very important to be included into lessons.
When I am introducing a new topic I use each type in an effort to get the students to try
and learn and more importantly retain the information. Unfortunately in my school the
majority of students do not study materials that we go over so it is important to try and
get them to understand as much as possible as they are in my presence. As far as
problem solving, individual and collaborative, we tend to spend one day a week focusing
on these types of problems. Problem based learning projects are relegated to once or
twice a marking period, depending on what chapters are being covered.
When projects are assigned, originally I made all of them individual based, but
now have expanded them to include groups. I feel this is better because they have to
choose roles and are motivated by other students in their group to work well at that role.
It also teaches them teamwork and leadership skills, which they will utilize in the
workforce long after high school. The projects are also meant to challenge the students
intelligence, as they are not simple reviews, summary’s, or reports. They make the
students create something of their own and let them have freedom to intemperate the
rubric as liberally as they would like. None of my projects require writing essays,
however the students are encouraged to outline what they want their project to end up
like. They then can show me their ideas and get the “green light” if I think it will work.
When it comes to my class’s intelligences you could see by my audience
description that I take the classes current preferences into planning my lessons. The first
day of class I present them with a sheet, where they have to graph their preferences for
me. I then take this information of my classes as a whole and focus on he top two
learning styles of each student, trying to implement strategies to teaching this way in my
lessons. I also try to determine if my classes tend to like to work as groups or individuals
when going over this information based on their interpersonal or intrapersonal results.
Typically I tend to touch on each method during a lesson to try and include each type of
learner in my lesson. As far as Sternberg’s intelligences go, I really have never focused
on them, at least knowingly, because I really don’t remember ever hearing about them. I
guess my classes focus on componential intelligence, followed by practical intelligence.
I do not recognize Perkins and do not base any of my lessons on his strategies. There are
so many different categories and ways to measure intelligences I think that you should
just pick one group and focus on that. There is not nearly enough time in a class period
to try and teach all the different ways that different authors suggest, and in the end they
are all basically from the same mold anyway.
I tend to use projects for the same reason as given. I know that if done properly it
will motivate the class more than a typical lesson and increase their ability to solve
problems on the fly in methods other than ones we use in class. When group projects are
assigned I think that they increase student’s collaboration skills, as well as their
management and responsibility levels. Pretty much they are a valuable tool that, as I
stated before, if done properly, can benefit the learning experience in a classroom greatly.
Project Status
My time line has been created and my unit on quadrilaterals will consist of eight
lessons spanning over ten days. After the unit there will also be a review day and test
day, as well as a day for the students to present projects they will be assigned at the start
of the unit. I also have determined that I will focus my lesson plans for this class on a)
finding angle measurements in polygons, and b) identifying quadrilaterals. The second
lesson will help sum up all of the previous lessons and be a great lead into their projects.
I also have completed my unit outline where I broke my lessons down into what I
will be covering each day. All follow the same basic formula which tend to work for
how my lessons are structured (students seem to thrive with consistency). I have taught
this unit for the past 5 years and have been tweaking it every year. I hope with the help
of this class I will focus on taking a big leap on the effectiveness on it with the inclusion
of more technology.
My lesson plan has been started and I plan on having it finished by class this
week. Also my final presentation slide sow is growing, as I have added some new charts
to it to go along with my charts and lessons. I plan on keeping it updated, so all I have to
do at the end of class is put it into a flashy slide show and spruce it up.
Rudy Valentino
Journal – Rudy Valentino
Week 3 Reflections
Book: Chapter 5
Upon getting started with a project, I do not feel the need to “quiz” my students
on previous projects they have completed nor take inventory of their likes and dislikes
associated with these projects. I instead take projects I created from previous years and
modify them based on problems that were run into by past students. I do believe that the
purpose of a project is to allow the student to express their creativity; however I also
agree that you have to have specific instructions and more importantly examples of what
you are looking for in the end. The past examples in conjunction with a scoring rubric
always help students see what their finished project needs to be giving them an idea what
they will need to accomplish in order to receive the grade they are looking for. It also
helps them get started quicker by eliminating possible poor decisions that end up wasting
their time. I also feel it is important to interact with the students to make sure not only
that they remain on task, but that they are headed down the right path as far a completing
the project correctly. To many times have I seen a student put forth an incredible amount
of effort on a great looking project that has nothing to do with the curriculum it was
suppose to reinforce. And sometimes if I catch them too late, they will just give up and
not turn in anything at all because of the level of anxiety and anger caused by not doing it
correctly to begin with.
I do like the chart concepts for the students, but do not think that the timelines are
all that important for projects in class. My projects tasks are interchangeable and for the
most part are done as a take home assignment, so a timeline would not be of any use. I
prefer to set up charts to show what concepts are needed in the projects with boxes to
check off when a task is completed. Unfortunately with the amount of curriculum I teach
and it being of a Geometry or Calculus background I do not have the time to give as
extensive projects as the book described. Maybe someday down the road if I teach
another subject I will be able to create projects that can span over 45 days of a marking
period, but for now I will have to settle for the shorter less advanced ones.
Book: Chapter 6
Coming from a didactic teaching mold I choose to go in a different direction
instead of continuing down the same less efficient path. In my teaching experience I
found the flaws in that method when introducing information to students who are
learning at an average to below average level. When teaching higher level students that
choose to take my class (my Calculus class) I feel that the didactic method works fine,
and will actually better prepare the students for college. Being that most my students are
in Geometry classes I tend to introduce a multitude of methods to try and keep them all
interested and learning including PBL’s.
The goals of my PBL lessons are directly intertwined with the goals of my actual
lesson. I just implement the instructional technology to expand on what once was an
ordinary lecture. My goals when giving a project are very similar to the authors and I
feel the more closely the students follow these goals, the better of an understanding they
get of the subject we are covering. My projects are derived from a unit topic, and help
bring together the six or seven lessons that make up that unit. I use it as an ending
assessment in conjunction with the students test scores in an effort to measure the classes
understanding of the subject that was covered. Since I usually assign one project a
marking period (four a year), I try and split them with two being individual based and
two being team based projects. When teams are involved I tend to give the students more
time in class to work together due to the fact that they would not be able to meet outside
of school. This way they could define roles, plan out their parts, and set up what they are
responsible for. Before the turn it in I then give them another day in class together to let
them piece their work together and get a finished project ready for me. This is because I
want one group project as opposed to four individual ones. As stated earlier I don’t have
a lot of time to spend in class on projects due to having 12 units of about 6-7 lessons each
that I need the students mastering by June. That in conjunction with HSPA days we are
required to spend one day a week on (teaching HSPA based word problems to the
students based on past tests) it will be difficult to teach via one of these advanced PBL
methods. I also feel in math it is very important to practice many problems as possible
when learning new methods, which may be overlooked if I was just implementing a PBL
project to teach the lesson. If my time was not a restricted or if I taught a different type
of class I would defiantly develop and utilize these types of lessons.
Project Status
Lesson Plan # 1 on Angle measurements in a Polygon has been created and
perfected. I am sure it will need no further work and I am prepared to start working on
my second lesson plan already. All of my other binder work required as of now is done
(time line and unit plan), and my classmates agree that they are now perfect. I also have
photographed all of my student’s results for their learning style assignments so that I can
place multiple pictures in slides instead of having 96 pieces of graph paper in my binder.
This way I can also present the method I used to interpret results.
As far as my final project goes, I have deigned the backgrounds for my
PowerPoint slides utilizing my incredible production skills. I have also set up a Prezi for
the presentation and will try and plug some slides into it this week. I am staying on top
of it, and should have a great presentation when time comes. I also have created an
Xtranormal description of myself that I need to se if I would like to utilize or not.
Rudy Valentino
Journal – Rudy Valentino
Week 4 Reflections
Book: Chapter 7
Electronic portfolios are a convenient way not only to collect and store past
projects, but a great reference of what type of polished project me as the teacher am
looking for. Instead of keeping piles of projects stored somewhere, I have been utilizing
electronic portfolios the last couple years to store and keep track of projects students have
turned into me. This is a great way to be able to keep their hard earned work on file as
well as show my future classes what I am expecting when looking for a good project. I
do use a rubric for grading, but a lot of times it is easier for the students to know what to
do by looking at a finished project as opposed to a chart with confusing point scores.
As far as stakes go, I generally weight projects on an even plane as tests, so
students tend to have pretty high stakes on them. The stakes tend to be the highest when
the students know they struggle on written tests so they use the projects to give their
grades a boost. They also tend to be higher for students who lack homework assignments
for the same reasons. The stakes on my projects tend to be lower only if the students do
not typically do any work outside class in general, or if they do not recognize the
importance of the project.
Being in a poorer district I cannot include IT assessment as a major part of my
grading. I do include it in my projects, but as an option. I allow the students to perform
an alternate task as opposed to the IT in an effort to include everyone in the project (not
everyone in my class has computers or internet at home). Let me note that for the most
part students always find a way to include the technology. I can teach them how to use
all the technological knowledge that is out there, but if they do not have the tools at home
to implement this knowledge I can not hold it against them.
With rubrics (I included one of mine on Wordpress), I prefer the 0 – 3 point ones
as opposed to the six point one described in the book. By reducing the complexities in
the scoring it is easier for the students to see what they need to include in a project to
succeed. I also tend to be more specific on how to acquire each point in each category
because for math projects it works easier this way. Personally the only time I would use
a six point scale was if I was performing surveys, or judging someone’s preferences.
Finally I don’t believe that any of my students have created their own electronic
portfolios yet. Eventually as technology becomes more intertwined between all of their
classes is when this will become more common. I predict this will not take place for
another 5-10 years though, and will rely on teachers becoming more familiar with the
technologies themselves. Either by attrition of the older generation of teachers, or a
professional development implementation and classes for the newer ones.
Book: Chapter 8
Five years ago IT-assisted PBL was something that I never heard of nor thought I
would ever implement in class. Even though computers have been around for a while,
only recently have they been accessible on such a grandiose level. That in conjunction
with the internet being used more as a teaching tool and classrooms becoming more
technological will lead to an implosion of IT PBL’s. The price reductions of computer
hardware and increased availability in households have made it easier to include a greater
number of students in these projects. The days of actually cutting and pasting projects
will soon be faded out by the copy and pasting on computer screens.
The task team structure was an interesting concept, however without training from
the educators it will not work. I am lucky enough to grow up along with the technology
so I am on top of it. However not everyone is, so it will be important to get more
educators on board before this will take flight. Without the support of teachers the
students have in previous years or even the same year it will be harder to implement.
Working together, teachers can change the way projects are implemented and the way
students learn. But if I am out there trying this alone, I will have to put as much effort
into how to use the technology as I do the information I am trying to cover in class. And
as I stated earlier, I barely have enough time to cover the entire curriculum necessary
none the less technology uses. Eventually technology in the classroom will right itself,
and by that time there will be a new innovative way to perform projects and we get to
start over. Till then it is do the best you can with what you have to work with.
Project Status
I have transferred my information from my template to the one provided for
Lesson Plan #1. It is now better since I used the template provided by Dr. Skeele to do
my original lesson plan. It is very efficient and should be wonderful. I have also created
a rubric for the project I will be implementing in my second lesson plan, and sketched out
some ideas on how I am going to approach the two days I will spend on the topic of
Quadrilateral descriptions. I have a visual vocabulary lesson I created in Production I
that I plan on using to help the class figure out what they need to do for the project.
I have also created a Prezi page for my topic (link on my Wordpress) and have the
first part of my presentation completed. I transformed PowerPoint slides into videos so
that they would play within the Prezi. This way I can have more liberties with my slide
animations. So far I have my introduction of myself, audience description, and learning
style determination.
As far as my lesson plan descriptions go, I plan on showing them a different way
after getting some ideas from the in class presentation we saw in class on Wednesday. I
plan on creating a video utilizing PowerPoint and my production skills to compare old
traditional styles of teaching with the new technological innovations. Hopefully this will
turn out nice, and I will not be trying to implement more than I can handle.
Rudy Valentino
Journal – Rudy Valentino
Week 5 Reflections
Project Status
I have readjusted my Lesson Plan 1, and now it is complete. I did this because I
have created a Geometers Sketchpad based lesson for the first day. I have also decided to
take two days to teach the lesson as opposed to teaching it one day and practicing
problems the next. After finishing up my first lesson, I went on to design my second. I
have created a 2 day lesson implementing Prezi, PowerPoint, some templates, assisted
notes, a project with rubric and some example problems. Everything for the lesson is
already made and I have put them all together in the form of a lesson plan. I have also
planned out how I am going to present my lessons during the final project. It should turn
out to be good. Everything else is on time and as final copies.
Rudy Valentino
Journal – Rudy Valentino
Week 6 Reflections
Book: Appendix A
I believe that there should always be a purpose or goal in every exercise, and that
if there is none present the exercise in pointless to the learner. I also agree with the
author that projects should show the learners understanding of everything that they have
learned over the previous couple of weeks. His third goal of using one’s knowledge and
newly acquired skills to apply the learning to new situations is also valid, but in my
classes not as important as his first two.
Our main goal as teachers is to give students information and more importantly
have them retain it long after they leave our classes. As a math teacher I am trying to
prepare my students for the next level I mathamatics and strengthen there core
knowledge in the math curriculum as a whole. If they simply cram and forget the
information months later, the class will not be beneficial to them at all, and they will
struggle at the next level because of this. Formulas, concepts and even vocabulary could
all be found now with the click of a mouse or even flick of a finger on their phones so I
tend focus more on how and when to apply these concepts in situations, as opposed to
memorizations of tables and charts.
When I give out my projects I ensure that they contain certain key elements that
will be beneficial to the students understanding. All the information on the topics are
always available, however they have to be able to use to use that information to complete
their projects. First and foremost they have to figure out how to go about using the
information presented to them to solve problems based on concepts we have went over in
class. Next they will have developed a way to present these projects which fit within a
designed rubric. As the author states, I too judge their project on understanding, use of
knowledge and skills, and computers with technological use.
It is important to use computers when completing these projects in various
manners. I agree that although desktop presentations are important in teaching,
computers should be utilized in more manners. They can be a median to use great
programs such as PowerPoint, Geometer’s Sketch Pad, Adobe Reader, Prezi, and
graphing calculator applications, along with the Internet and everything that it entails. In
my classes I use computers everyday, and when a student presents me with their project
they have the opportunity to do so by any technological means necessary. I do not like to
confine then to a specific presentation median, because I feel that when doing so their
creativeness is inhibited.
As far as IT-assisted learning and computer assisted learning go, I would like to
say in the last two years I have steered my classes in these directions. As soon as a LCD
projector was made available to me last year I had started modifying my lessons away
from writing on boards and in turn projected them onto screens. Currently I use my
projector in conjunction with my computer every day in class, and feel that in doing so
have increased the efficiency of my teaching. Not only are the lessons easier to see,
containing of interactivity and more structured, but they also are more visual pleasing.
They can contain graphics and/or animations that I was previously unable to present to
the class due to my lack of artistic ability. I also upload current notes from my class for
the day onto website called Mybigcampus.com which can be viewed by students who are
absent, in in school suspension, suspended out of school, or even on home instruction.
Everything that I did in class is on the website, and if there are any further questions
comments or messages could be left to me and I will get back to the students.
Technology has done so much to improve he ability to teach at a higher level and
as it keeps evolving so with our teaching craft. If we do not evolve along with it we are
failing as teachers and doing a disservice to our schools and more importantly our
students.
Project Status:
I have completed both lesson plans for my project and no longer need to work on
them. I have also tweaked my unit plans, and can say that both my time line and unit
summaries are completed too. I have most of the materials that I will be implementing in
my lessons already completed over the last week.
For Lesson Plan 1, I have created my Geometer’s Sketch pad activity, modified
my assisted notes, created my PowerPoint examples, and set up an outline on how I will
present all of this in April. For Lesson Plan 2, I have created my assisted notes, created a
project along with rubric, made a Prezi based on vocabulary words, created a interactive
PowerPoint, and made 2 other sheets to be filed in by my students. I pretty much have
both lessons wrapped up and as soon as I take some pictures I will begin to piece them
together to create a trio of short movies though PowerPoint. These movies will then be
uploaded onto my Prezi and then presented to my professors.
Rudy Valentino
Journal – Rudy Valentino
Week 7 Reflections
Book: Appendix B
I too think that to much teaching today is based on needless fact memorization as
opposed to knowing how to utilize those facts. As I have stated in past reflections I try to
base my teachings and projects on the latter, knowing from experience that most the time
something is memorized for the purpose of a test it is forgotten very shortly. It is a short
term solution as opposed to giving the student the facts and having them solve problems
based on those facts. In the end this will have a greater use to them because in real life
settings they will have access to any facts they need either by a book, asking someone,
the internet, and now a days there phone. I can relate this because when I was back in
school I was told spelling was very important. As a math/science minded person I was
horrible at it and never did well at those tests. No matter what my teachers try to do to
teach it to me it was of no use. Fast forward to today, I still am not the best speller in the
world and am seeing red underlined words all over these reflections as I type them. But
after the click of spell check everything is fine, and all those annoying days of trying to
learn how to spell words I will never use come back to me as what they really were. A
useless waste of time. Time that could have been spent bettering myself in another area,
one would have actually been useful to me in life.
I also agree with the author in the fact that a lot of times teaching this way relies
on what the students previous teacher did or did not do with them. Too many times have
students come into my class with little or no background knowledge they were suppose to
have learned the previous years in mathematics, making it more difficult to get right into
critical thinking problems. I found by grouping them together and letting them help each
other alleviates a lot of this because they tend to become less discouraged when being
helped by a peer as oppose to a teacher. Furthermore they do not have to have the
anxiety of slowing down the classes when we are pushing ahead. I also make sure that I
review all concepts that will be involved to ensure that all the information they previously
ingested is brought back to the forefront of their brains.
Problem solving, be it a basic one step algebraic problem, a word problem from
the SAT, a complex two page calculus problem, or detailed project all follows the same
mold. Figure out what information is necessary, figure out how to use that information,
and come up with a solution. Mess up any of those steps and failure is eminent, complete
all successfully and achievement is gained. This is kind of like the authors four
components in a simplified form. EVERY time I introduce a new concept to my students
I ALWAYS go step by step showing them how I go about solving the problem. Then I
show them again. It is important for them to see the process more than knowing a
formula or theorem. To many times do I see teachers write a formula on the board and
then follow it with a page number and problems form a book as they sit back. Lazy
ignorant teaching methods with no structure, no pay off, and no cohesion. How do the
students know if what they are doing is right, how do they know if they are going at an
acceptable speed, how can in todays go go go world we expect them to stay on task?
I like using different approaches to represent my problems, however teaching in a
title I district I am limited by socio-economical gaps in students. I cannot force students
to complete projects on computers because some do not have them at home. I cannot
require them to utilize smart phones in class because some students do not own them. I
can however give them the option of using these tools as long as I give the students with
out the means the same opportunity to complete these assignments or projects sans the
technology.
As far as strategies go I also believe the author makes some excellent points in the
varied solving strategies. Moursund is correct when mentioning that every problem-
solving domain has its own strategies. This is why I feel importance in exposing any
student who steps though my door to as many different problems, scenarios,
modifications, and strategies as possible. The more they are exposed to, the greater
chance that they will have in succeeding on there own when the time calls for it. We
gave the HSPA this week at my school in which the students typically have a poor track
record in passing. All of the material in it is covered in the curriculum, so how could this
happen? My theory is simple, they are taught how to solve the problems in equation
form, but the HSPA being all word problems, they are not taught how to apply the
knowledge when dealing with words. If they could extract the correct information from
the problems and figure out what formula to use they would probably do much better.
It’s like the transfer of learning and there knowledge from the classroom into a testing
scenario.
Lastly I would just like to say by teaching students problem solving skills I feel
like I am preparing them for more than just a Geometry or Calculus class. These skills
could not only be used in mathematics, but all there other subjects in school. More
importantly problem solving skills can be used by them in there lives regardless as to
which route they decide to take after school. Every day people are constantly solving
problems and the earlier we learn how to go about solving them then the better off quality
of life becomes.
Project Status Update:
I have officially finished everything for my unit except for my PowerPoint
presentation on my two lessons. I have made all of my technology for both lessons
already, and created all of my rubrics for each lesson. I have also started to assemble my
binders and have everything in them already except for the introduction, table of
contents, and final PowerPoint slides for my two lessons. I plan on using pictures of my
actual class during my lessons on it and sine I don’t start teaching that unit until March
19th, I will not have the slides ready until it is completed. I also hope to have the students
have there projects completed before my final presentation so I could show how slight
modifications in it have increased it effectiveness from last year to this year.
Final Reflection
Project Status
I have finally finished my project and am done with all academic endeavors for the
foreseeable future. This week I tweaked my final project and finished making my binders. I also
turned my Prezi lesson into a video for use in PowerPoint because it was giving me loading
problems in the walk through. I am confident that my project will cap an excellent day of
presentations for the professors and am honored to be the last student going. This class was not
as hard as everyone was making it out to be, and as long as someone works on their project a
little bit at a time they will not have any trouble with it. I used the strategy of doing everything
nearly perfect the first time so I had little work to do in fixing any mistakes. I would highly
suggest this method for any incoming students. As far as the classes went they were somewhat
helpful, but I felt that the peer reviews were overused and that the time could have been used for
something more useful. Almost every time someone looked at my work I received it back with
just a grammatical or spelling error so they did not help me much. I would suggest in the future
multiple reviews in the same class day instead of spreading them out over multiple weeks.
Overall the class did help, and I was able to create a spectacular binder and presentation that
represents the knowledge that I have gained over the past year and a half. Now I can just hope
that my idea of a great project is the same as the professors judging it.
The Instructional Design Masters as a whole was very helpful to me and I learned many
interesting techniques in implementing technology into my classroom. Personally I did not
really care for the papers or lesson plans, but loved how I was able to master PowerPoint, Prezi,
Web Page Creation, and production skills. The Smart Board program was also excellent even
though I don’t have one yet, but you never know. I would say my favorite classes were
Production I & II and my Web design Class. The reason I picked them was because the classes
involved constantly working on projects with little instructional time. I was able to hands on
learn, which is my strength, and was able to learn the most (and most useful stuff) in these
classes. I am certainly glad I had the alternate route credits transferred because I would not have
looked forward to taking the classes they replaced. Too bad the credits here cost too much or I
might have considered continuing on to a +30 or even my doctorate.
EDST6306 – Instructional Design and Technology
Audience Description
Characteristics:
My Geometry CP classes consist of a microcosm of the Linden High School student
population, with the exception of grades levels. According to the most recent census it is made
up of 1,760 students, half being male and being half female with approximately one quarter of
the students in each grade. The school is primarily made up of Black (35%), Hispanic (35%) and
White (25%) students where about half are eligible for a free or reduced lunch. In addition 16%
of the students are classified with a type of disability and are either in a special education
classroom or an inclusive classroom with general education students.
Instead of planning for each Geometry CP class individually, I tend to lesson plan for
them all together grouping them together as one large audience being that I teach them all the
same information at the same speeds. I have four Geometry College Prep level classes of a
combined 96 students, with class sizes of 24, 23, 24, and 25. The ethnic makeup is on par with
the schools, however my classes have a greater number of males by a 57% to 43% ratio. My
classes are also primarily made of approximately one-third freshman and two-thirds sophomore
students with two junior and one senior retaking the class.
Pre-Assignment:
In order to be eligible for a Geometry CP classes in Linden High School the students
must have scored in the “Proficient” level on their NJ ASK 3-8 test in Middle School. This is a
score of 200-250, where below 200 is non-proficient and they would be placed in a general level
class, and above 250 is advanced-proficient and they would be placed in an honors level class.
An exception would be if a sophomore did exceptionally well in their Algebra I class the
previous year and was advanced to the CP level, or if a student was doing very poorly in an
Honors class and dropped down in an effort to create a better paced learning environment for
them. The reason the class has both sophomores and freshman is that some 8th
grade students
take Algebra I (a pre-requisite) where as some take pre-Algebra, leading to their 9th
grade
placement of Algebra or Geometry. The district is working at trying to get the majority of 8th
graders taking Algebra I so that they could begin their HS career in Geometry.
In addition the students have had been exposed to Geometry on a basic level in their
previous classes and should have a medium to strong Algebra and Arithmetic background. As
far as my class goes, all the Geometry lessons begin with relatively new topics, as opposed to
building on each other as they did in Algebra classes. If they had done poorly or very good on
one chapter it does not necessarily mean they will do poorly or good on the next one. Basically
the lessons coincide with each other but the 12 chapters in the book are independent in the
material that each contains
Learning Styles:
In the start of every year I give a learning style activity to my students to try and get a
general idea of how they should be approached. Typically I break down the results into two
areas, type and interpersonal or intrapersonal, to try and garner a greater understanding of their
learning styles. This year I found that across the board by a 48% margin my students seemed to
have a primary or secondary learning style of Logical. This leads me to teach problem based
lessons with good amount of self-discovery and student lead learning. I use assisted note taking
techniques, question and answer sessions, and a lot of student participation to focus on this area.
Their second favorite type of learning at 40% fell under the Kinestic or movement category. My
students seem to want to be very active so I let them place answers on the board, participate in
activities where they are moving around the classroom, and try to make some of the projects
assigned more interactive than research based. The class also seemed to have high verbal and
visual (35% each) student based learning in it, so I also have to plan my lessons to include these
concepts. This first achieved by including definition descriptions, writing out answers, and
solving word problems for the verbal students. Then I use various programs including
PowerPoint, Geo Sketch Pad, Adobe, and others in conjunction with my LCD projector. I also
utilize charts and graphs to go along with the written information I provide for the class. It
seems for everything I show the class I tend to show it at least two to three ways in an effort to
cover which ever learning style best suits them. As far as the musical and nature styles in my
class, interest was lacking so I do not implement that many activities focused on those styles.
As far as intrapersonal and interpersonal goes, the class leaned towards interpersonal
learning with a 54% to 26% edge. The remaining 20% scored equal in both personality types.
This tells me that the class is comfortable in groups as opposed to individual work when it comes
to their learning. From this information I was able to design a more efficient seating
arrangement for my classroom to maximize learning potential. I did this by grouping my seats in
sets of four and placing them about the class. This gave me constant groups instead of moving
tables together for certain activities. Because of this the stronger students are able to help the
weaker ones in an environment that encourages conversations when working on problems. The
students geared more towards themselves are able to work alone and sometimes even help or are
helped by others gradually bring them out of their protective shell. I also structure my reviews
around their learning too. I have students work in their groups (teams) to solve problems I place
on the board. Each team answers together with each member of that team taking turns writing
the answer down on a dry erase “communicator” to show me. The students that are more
intrapersonal tend to write the problems down in their note and solve on their own before
comparing their answers with their teammates.
Different Learners:
I do not teach any inclusive classes (mix of special education and general education
classes) this year so I do not have as many classified students as I have had in the past. As a
matter of fact out of my 96 Geometry students I only have 2, both classified with ADHD. Being
that I feel with today’s new generation geared towards a go-go-go state, along with me having
ADD tendencies, most of my lessons are geared towards an ADD/ADHD type learner. They
have a lot going on, however each part is well defined and follow a logical progression. I do not
leave time in lessons for students to “zone out” or become distracted by outside influences, and
try to keep a high energy environment through my teachings. I also let the students move about
when placing answers to problems on the board, and classified students in my class are given
more time on tests if they need it. For the most part you would never be able to even pick them
out, and besides the extra time, seat placement in the front of the classroom, and occasional
talking to get them back on track.
The only other type of student present in my classes is ESL or ELL students. In our
school they range in levels, but with the help of WIDA proficiency standards I am able to help
get my message across to all of them. Most of the students understand and comprehend what I
am saying and teaching, and some of them even score the highest on tests in my class. I
encourage them to speak up and participate in class and help them out if they are struggling to
find a word. Out of about 10 students in the ESL program in my classes, only 2 cannot speak
English well whereas Spanish is their primary language. Luckily I teach Math which is a
universal language, use lots of charts, graphs and visuals, and have plenty of fluent Spanish
Speakers in my classrooms making the language barrier not become a major problem. An
interesting survey last year it was found that in Linden only 58% of the homes spoke English as a
primary language, whereas Spanish was primarily spoken in 24% on Polish was the primary
language in 6%. Because these specialized students are so few and their modifications fit into
my teaching style anyway, I do not need to adjust my lessons for any individuals. They are
already prepared so if a student from any background enters my class they will be in an optimal
learning environment for themselves due to the many different approaches I take to describe all
Geometric methods.
Rudy Valentino
Perceptual Learning-Style Preference Questionnaire
by Joy Reid
Directions
People learn in many different ways. For example, some people learn primarily with their eyes (visual
learners) or with the ears (auditory learners); some people prefer to learn by experience and/or by "hands-on"
tasks (kinesthetic or tactile learners); some people learn better when they work alone while others prefer to
learn in groups.
This questionnaire has been designed to help you identify the way(s) you learn best--the way(s) you prefer to
learn.
Decide whether you agree or disagree with each statement. For example, if you strong agree, mark:
SA
Strongly
agree
A
Agree
U
Undecided
D
Disagree
SD
Strongly
Disagree
X
Item SA A U D SD
1. When the teacher tells me the instructions I understand better.
2. I prefer to learn by doing something in class.
3. I get more work done when I work with others.
4. I learn more when I study with a group.
5. In class, I learn best when I work with others.
6. I learn better by reading what the teacher writes on the
chalkboard.
7. When someone tells me how to do something in class, I learn
it better.
8. When I do things in class, I learn better.
9. I remember things I have heard in class better than things I
have read.
10. When I read instructions, I remember them better.
11. I learn more when I can make a model of something.
12. I understand better when I read instructions.
13. When I study alone, I remember things better.
14. I learn more when I make something for a class project.
15. I enjoy learning in class by doing experiments.
16. I learn better when I make drawings as I study.
17. I learn better in class when the teacher gives a lecture.
18. When I work alone, I learn better.
19. I understand things better in class when I participate in role-
playing.
20. I learn better in class when I listen to someone.
21. I enjoy working on an assignment with two or three
classmates.
22. When I build something, I remember what I have learned
better.
23. I prefer to study with others.
24. I learn better by reading than by listening to someone.
25. I enjoy making something for a class project.
26. I learn best in class when I can participate in related
activities.
27. In class, I work better when I work alone.
28. I prefer working on projects by myself.
29. I learn more by reading textbooks than by listening to
lectures.
30. I prefer to work by myself
Self-Scoring Sheet
Instructions
There are 5 questions for each learning category in this questionnaire. The questions are grouped below
according to each learning style. Each question you answer has a numerical value.
SA
Strongly
agree
A
Agree
U
Undecided
D
Disagree
SD
Strongly
Disagree
5 4 3 2 1
Fill in the blanks below with the numerical value of each answer. For example, if answered Strongly Agree
(SA) for question 6 (a visual question), write a number 5 (SA) on the blank next to question 6 below.
Visual
6 = 5
When you have completed all the numerical values for Visual, add the numbers. Multiply the answer by 2, and
put the total in the appropriate blank.
Follow the process for each of the learning style categories. When you are finished, look at the scale at the
bottom of the page; it will help you determine your major learning style preference(s), your minor learning style
preference(s), and those learning style(s) that are negligible.
Major learning Style Preference 38-50
Minor Learning Style Preference 25-37
Negligible 0-24
Explanation of Learning Style Preferences
Students learn in many different ways. The questionnaire you completed and scored showed which ways you
prefer to learn English. In many cases, students' learning style preferences show how well students learn
material in different situations.
The explanations of major learning style preferences below describe the characteristics of those learners. The
descriptions will give you some information about ways in which you learn best.
Visual Major Learning Style Preference
You learn well from seeing words in books, on the chalkboard, and in workbooks. You remember and
understand information and instructions better if you read them. You don't need as much oral explanation as an
auditory learner, and you can often learn alone, with a book. You should take notes of lectures and oral
directions if you want to remember the information.
Auditory Major Learning Style Preference
You learn from hearing words spoken and from oral explanations. You may remember information by reading
aloud or moving your lips as you read, especially when you are learning new material. You benefit from hearing
audio tapes, lectures, and class discussions. You benefit from making tapes to listen to, by teaching other
students, and by conversing with your teacher.
Kinesthetic Major Learning Style Preference
You learn best by experience, by being involved physically in classroom experiences. You remember
information well when you actively participate in activities, field trips, and role-playing in the classroom. A
combination of stimuli--for example, an audiotape combined with an activity--will help you understand new
material.
Tactile Major Learning Style Preference
You learn best when you have the opportunity to do "hands-on" experiences with materials. That is, working on
experiments in a laboratory, handling and building models, and touching and working with materials provide
you with the most successful learning situation. Writing notes or instructions can help you remember
information, and physical involvement in class related activities may help you understand new information.
Group Major Learning Style Preference
You learn more easily when you study with at least one other student, and you will be more successful
completing work well when you work with others. You value group interaction and class work with other
students, and you remember information better when you work with two or three classmates. The stimulation
you receive from group work helps you learn and understand new information.
Individual Major Learning Style Preference
You learn best when you work alone. You think better when you study alone, and you remember information
you learn by yourself. You understand new material best when you learn it alone, and you make better progress
in learning when you work by yourself.
Minor Learning Styles
In most cases, minor learning styles indicate areas where you can function well as a learner. Usually a very
successful learner can learn in several different ways.
Negligible Learning Styles
Often, a negligible score indicates that you may have difficulty learning in that way. One solution may be to
direct your learning to your stronger styles. Another solution might be to try to work on some of the skills to
strengthen your learning style in the negligible area.
This explanation was adapted from the C.I.T.E. Learning Styles Instrument, Murdoch Teacher Center, Wichita, Kansas 67208.
Copyright 1984, by Joy Reid. If you wish to use this questionnaire, contact Joy Reid.
Multiple Intelligences Inventory Copyright 1999 Walter McKenzie, The One and Only Surfaquarium
Part I
Complete each section by placing a “1” next to each statement you feel accurately describes you. If you do not identify with a statement, leave the space provided blank. Then total the column in each section.
Section 1 _____ I enjoy categorizing things by common traits _____ Ecological issues are important to me _____ Classification helps me make sense of new data _____ I enjoy working in a garden _____ I believe preserving our National Parks is important _____ Putting things in hierarchies makes sense to me _____ Animals are important in my life _____ My home has a recycling system in place _____ I enjoy studying biology, botany and/or zoology _____ I pick up on subtle differences in meaning
_____ TOTAL for Section 1
Section 2
_____ I easily pick up on patterns _____ I focus in on noise and sounds _____ Moving to a beat is easy for me _____ I enjoy making music _____ I respond to the cadence of poetry _____ I remember things by putting them in a rhyme _____ Concentration is difficult for me if there is background noise _____ Listening to sounds in nature can be very relaxing _____ Musicals are more engagingto me than dramatic plays _____ Remembering song lyrics is easy for me
_____ TOTAL for Section 2
Section 3
_____ I am known for being neat and orderly _____ Step-by-step directions are a big help _____ Problem solving comes easily to me _____ I get easily frustrated with disorganized people _____ I can complete calculations quickly in my head _____ Logic puzzles are fun _____ I can't begin an assignment until I have all my "ducks in a row" _____ Structure is a good thing _____ I enjoy troubleshooting something that isn't working properly _____ Things have to make sense to me or I am dissatisfied _____ TOTAL for Section 3
Section 4 _____ It is important to see my role in the “big picture” of things _____ I enjoy discussing questions about life _____ Religion is important to me _____ I enjoy viewing art work _____ Relaxation and meditation exercises are rewarding to me _____ I like traveling to visit inspiring places _____ I enjoy reading philosophers _____ Learning new things is easier when I see their real world application _____ I wonder if there are other forms of intelligent life in the universe _____ It is important for me to feel connected to people, ideas and beliefs
_____ TOTAL for Section 4
Section 5
_____ I learn best interacting with others _____ I enjoy informal chat and serious discussion _____ The more the merrier _____ I often serve as a leader among peers and colleagues _____ I value relationships more than ideas or accomplishments _____ Study groups are very productive for me _____ I am a “team player” _____ Friends are important to me _____ I belong to more than three clubs or organizations _____ I dislike working alone
_____ TOTAL for Section 5
Section 6
_____ I learn by doing _____ I enjoy making things with my hands _____ Sports are a part of my life _____ I use gestures and non-verbal cues when I communicate _____ Demonstrating is better than explaining _____ I love to dance _____ I like working with tools _____ Inactivity can make me more tired than being very busy _____ Hands-on activities are fun _____ I live an active lifestyle
_____ TOTAL for Section 6
Section 7
_____ Foreign languages interest me _____ I enjoy reading books, magazines and web sites _____ I keep a journal _____ Word puzzles like crosswords or jumbles are enjoyable _____ Taking notes helps me remember and understand _____ I faithfully contact friends through letters and/or e-mail _____ It is easy for me to explain my ideas to others _____ I write for pleasure _____ Puns, anagrams and spoonerisms are fun _____ I enjoy public speaking and participating in debates
_____ TOTAL for Section 7
Section 8
_____ My attitude effects how I learn _____ I like to be involved in causes that help others _____ I am keenly aware of my moral beliefs _____ I learn best when I have an emotional attachment to the subject _____ Fairness is important to me _____ Social justice issues interest me _____ Working alone can be just as productive as working in a group _____ I need to know why I should do something before I agree to do it _____ When I believe in something I give more effort towards it _____ I am willing to protest or sign a petition to right a wrong
_____ TOTAL for Section 8
Section 9
_____ Rearranging a room and redecorating are fun for me _____ I enjoy creating my own works of art _____ I remember better using graphic organizers _____ I enjoy all kinds of entertainment media _____ Charts, graphs and tables help me interpret data _____ A music video can make me more interested in a song _____ I can recall things as mental pictures _____ I am good at reading maps and blueprints _____ Three dimensional puzzles are fun _____ I can visualize ideas in my mind
_____ TOTAL for Section 9 . .
Part II
Now carry forward your total from each section and multiply by 10 below:
Section Total Forward Multiply Score 1 X10
2 X10
3 X10
4 X10
5 X10
6 X10
7 X10
8 X10
9 X10
Part III
Now plot your scores on the bar graph provided:
Part IV – What is your strength??
Section 1 – This reflects your Naturalist strength Section 5 – This shows your Interpersonal strength
Section 2 – This suggests your Musical strength Section 6 – This tells your Kinesthetic strength
Section 3 – This indicates your Logical strength Section 7 – This indicates your Verbal strength
Section 4 – This gives your Existential strength Section 8 – This tells your Intrapersonal strength
Section 9 – this suggests your Visual strength
100
90
80
70
60
50
40
30
20
10
0
Sec 1
Sec 2
Sec 3
Sec 4
Sec 5
Sec 6
Sec 7
Sec 8
Sec 9
What are my Learning Strengths?
Research shows that all human beings have at least eight different types of intelligence. Depending on your background
and age, some intelligences are more developed than others. This activity will help you find out what your strengths are.
Knowing this, you can work to strengthen the other intelligences that you do not use as often.
Verbal/Linguistic Intelligence Logical/Mathematical
Intelligence
___ I enjoy telling stories and jokes
___ I have a good memory for trivia
___ I enjoy word games (e.g. Scrabble &
puzzles)
___ I read books just for fun
___ I am a good speller (most of the time)
___ In an argument I tend to use put-downs or
sarcasm
___ I like talking and writing about my ideas
___ If I have to memorize something I create a
rhyme or saying to help me remember
___ If something breaks and won't work, I
read the instruction book first
___ For a group presentation I prefer to do the
writing and library research
___ I really enjoy my math class
___ I like logical math puzzles or brain
teasers
___ I find solving math problems to be fun
___ If I have to memorize something I tend
to place events in a logical order
___ I like to find out how things work
___ I enjoy computer and any math games
___ I love playing chess, checkers or
Monopoly
___ In an argument, I try to find a fair and
logical solution
___ If something breaks and won't work, I
look at the pieces and try to figure out
how it works
___ For a group presentation I prefer to
create the charts and graphs
Visual/Spatial Intelligence Bodily/Kinesthetic
Intelligence
___ I prefer a map to written directions
___ I daydream a lot
___ I enjoy hobbies such as photography
___ I like to draw and create
___ If I have to memorize something I draw a
diagram to help me remember
___ I like to doodle on paper whenever I can
___ In a magazine, I prefer looking at the
pictures rather than reading the text
___ In an argument I try to keep my distance,
keep silent or visualize some solution
___ If something breaks and won't work I tend
to study the diagram of how it works
___ For a group presentation I prefer to draw
all the pictures
___ My favorite class is gym since I like
sports
___ I enjoy activities such as sewing,
woodworking, or building models
___ When looking at things, I like touching
them
___ I have trouble sitting still for any
length of time
___ I use a lot of body movements when
talking
___ If I have to memorize something I
write it out a number of times until I
know it
___ I tend to tap my fingers or play with
my pencil during class
___ In a argument I tend to strike out and
hit or run away
___ If something breaks and won't work I
tend to play with the pieces to try to fit
them together
___ For a group presentation I prefer to
move the props around, hold things up
or build a model
Musical/Rhythmic Intelligence
Interpersonal Intelligence
___ I enjoy listening to CD's and the radio
___ I tend to hum to myself when working
___ I like to sing
___ I play a musical instrument quite well
___ I like to have music playing when doing
homework or studying
___ If I have to memorize something I try to
create a rhyme about the event
___ I an argument I tend to shout or punch or
move in some sort of rhythm
___ I can remember the melodies of many
songs
___ If something breaks and won't work I tend
to tap my fingers to a beat while I figure it
out
___ For a group presentation I prefer to put
new words to a popular tune or use music
___ I get along well with others
___ I like to belong to clubs and
organizations
___ I have several very close friends
___ I like helping teach other students
___ I like working with others in groups
___ Friends ask my advice because I seem
to be a natural leader
___ If I have to memorize something I ask
someone to quiz me to see if I know it
___ In an argument I tend ask a friend or
some person in authority for help
___ If something breaks and won't work I
try to find someone who can help me
___ For a group presentation I like to help
organize the group's efforts
Intrapersonal Intelligence Naturalist Intelligence
___ I like to work alone without anyone
bothering me
___ I like to keep a diary
___ I like myself (most of the time)
___ I don't like crowds
___ I know what I am good at and what I am
weak at
___ I find that I am strong-willed, independent
and don't follow the crowd
___ If I have to memorize something I tend to
close my eyes and feel the situation
___ In an argument I will usually walk away
until I calm down
___ If something breaks and won't work, I
wonder if it's worth fixing up
___ For a group presentation I like to
contribute something that is uniquely
mine, often based on how I feel
___ I am keenly aware of my surroundings
and of what goes on around me
___ I love to go walking in the woods and
looking at the trees and flowers
___ I enjoy gardening
___ I like to collect things (e.g., rocks,
sports cards, stamps, etc.)
___ As an adult, I think I would like to get
away from the city and enjoy nature
___ If I have to memorize something, I
tend to organize it into categories
___ I enjoy learning the names of living
things in our environment, such as
flowers and trees
___ In an argument I tend to compare my
opponent to someone or something I
have read or heard about and react
accordingly
___ If something breaks down, I look
around me to try and see what I can
find to fix the problem
___ For a group presentation I prefer to
organize and classify the information
into categories so it makes sense
TOTAL SCORE
_______ Verbal/Linguistic
_______ Logical/Mathematical
_______ Visual/Spatial _______ Bodily/Kinesthetic
_______ Musical/Rhythmic
_______ Interpersonal
_______ Intrapersonal _______ Naturalist
Quadrilaterals – Unit Outline
Lesson 1
Finding Angle Measurements in Polygons
Day 1
Draw Polygons
Interactive Sketchpad Visual
Polygon interior angle theorem
Finding angle measurements in
polygons
Day 2
Angle measurement recap
Polygon exterior angle
theorem
Finding angle measures in
regular polygons
Students complete assisted
notes as class
Lesson 2
Properties of Parallelograms
Day 3
New Vocabulary
Parallelogram side
theorem
Parallelogram opposite
angle theorem
Parallelogram adjacent
angle theorem
Parallelogram diagonal
theorems
Practice problems
Lesson 3
Proving Parallelograms are Quadrilaterals
Day 4
Converse parallelogram
side theorem
Converse parallelogram
opposite angle theorem
Converse parallelogram
adjacent angle theorem
Converse parallelogram
diagonal theorems
Parallelogram summary
Practice problems
Lesson 4
Properties of Rhombuses, Squares and Rectangles
Day 5
New Vocabulary
Rhombus corollaries
Rectangle corollaries
Square corollaries
Rhombus diagonal
theorems
Rectangle diagonal
theorems
Square diagonal theorems
Practice Problems
Lesson 6
Properties of Trapezoids
Day 6
New Vocabulary
Trapezoid side theorem
Trapezoid angle theorem
Isosceles trapezoid side and
angle theorems
Practice problems
Day 7
Trapezoid midsegment
postulate
Converse trapezoid
midsegment postulate
Practice Problems
Lesson 7
Properties of Kites
Day 8
New Vocabulary
Kite side theorem
Kite opposite angle
theorem
Practice Problems
Lesson 8
Identifying Quadrilaterals
Day 9
Revisit properties of all
the Quadrilaterals
Fill in Quadrilateral sheet
Practice problems from
note packet
Explanation of project
Day 10
Prezi Recap of Vocab
from Quadrilateral Unit
Grouping Specialized
Quadrilaterals with
PowerPoint Example Problems
Assessment
Review – Test - Project Day 11
Review Rules of
Quadrilaterals
Practice multiple
problems
Day 12
Test on Quadrilaterals and
their properties
Day 13
Presentation of students
projects via projector
Will put notes from each Lesson on www.Mybigcampus.com
Seton Hall University
College of Education & Human Services
Graduate Studies and Special Programs
GSSP Lesson Plan
8.1 – Quadrilaterals – Finding Angle Measurements in Polygons
Name: Rudy Valentino
Date: 3/19/2012 & 3/20/2012
School: Linden High School
Setting/Grade Level: Classroom / 9th
& 10th
Subject(s) : Geometry CP – Algebra I
Lesson Theme or Topic: Finding Angle Measurements in Polygons
Composition of Class: Male - 55 Female - 41 ESL - 10 IEP - 2 504
Inclusion Class: No
GOALS, OBJECTIVE(S), STANDARDS
1. Established Goals
Students will be able to have the full understanding of all the concepts involving finding
different angle measurements in or outside polygons depending on the number of sides and
configurations they have derived from a sketch or statement.
2. Student Knowledge, Skills and Enduring Understandings
The student will be able to:
1. Find the sum of the interior angles of a polygon based on its number of sides.
2. Determine the number of sides of a polygon based on the sum of its interior angles
3. Identify a missing angle measurement inside a polygon based on the number of sides and
other angle measurements inside that polygon.
4. Discover the measure of the exterior angles of a polygon based on other exterior angle
measurements
5. Give the measure of each angle of a regular polygon based on the number of sides it has
3. Common Core State Standards initiative:
Mathematics
High School: Algebra
Creating Equations
Create Equations that describe numbers or relationships.
A-CED.1. Create equations and inequalities in one variable and use them to solve problems.
Include equations arising from linear and quadratic functions, and simple rational and
exponential functions.
Reasoning with Equations and Inequalities
Understand solving equations as a process of reasoning and explain the reasoning.
A-REI.1. Explain each step in solving a simple equation as following from the equality of
numbers asserted at the previous step, starting from the assumption that the original equation has
a solution. Construct a viable argument to justify a solution method.
Solve equations and inequalities in one variable.
A-REI.3. Solve linear equations and inequalities in one variable, including equations with
coefficients represented by letters.
High School: Functions
Building Functions
Build a function that models a relationship between two quantities
F-BF.1. Write a function that describes a relationship between two quantities.
Determine an explicit expression, a recursive process, or steps for calculation from a
context.
Combine standard function types using arithmetic operations. For example, build a
function that models the temperature of a cooling body by adding a constant function to a
decaying exponential, and relate these functions to the model
High School: Geometry
Congruence
Prove geometric theorems
G-CO.9. Prove theorems about lines and angles. Theorems include: vertical angles are
congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and
corresponding angles are congruent; points on a perpendicular bisector of a line segment are
exactly those equidistant from the segment’s endpoints.
G-CO.10. Prove theorems about triangles. Theorems include: measures of interior angles of a
triangle sum to 180°; base angles of isosceles triangles are congruent; the segment joining
midpoints of two sides of a triangle is parallel to the third side and half the length; the medians
of a triangle meet at a point.
Make geometric constructions
G-CO.12. Make formal geometric constructions with a variety of tools and methods (compass
and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.).
Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing
perpendicular lines, including the perpendicular bisector of a line segment; and constructing a
line parallel to a given line through a point not on the line.
NJCCC Technology Standards
8.1 Educational Technology
A. Technology Operations and Concepts
12. The use of technology and digital tools require knowledge and the appropriate
use of operations and related applications.
3. Participate in online courses, learning communities, social networks, or
virtual worlds and recognize them as resources for lifelong learning.
B. Creativity and Innovation
2. The use of digital tools and media-rich resources enhances creativity and the
construction of knowledge.
1. Illustrate and communicate original ideas and stories using digital tools
and media-rich resources.
C. Communication and Collaboration
2. Digital tools and environments support the learning process and foster
collaboration in solving local or global issues and problems.
1. Engage in a variety of developmentally appropriate learning activities
with students in other classes, schools, or countries using electronic tools.
METHODOLOGY
Collaborative Learning – Students will go over the lesson as a class so the students will remain
focused on task.
Problem Solving – Students will solve problems based on angles of polygon measurements to
ensure understanding.
Drill/Practice – Students will practice multiple problems on their own to reinforce the lesson
View/Listen/Answer – At the end of the lesson I will put problems on a PowerPoint slide for the
class to answer.
Group Discussion – We will discuss the rules as a class, describing why it is rational.
Discovery/Inquiry – They will use rulers at start of period to discover as the sides of a polygon
increase you can draw another triangle inside of it. From this they will infer that as the sides of
polygons increase by 1 the interior angles increase by 180˚. This enforces the definition of the
rule much better than having them copy down the formula.
Technology/Delivery – I will use a LCD projector in conjunction with a document reader to
enforce my lesson for the visual and ESL/ELL learners. I will also utilize assisted notes to keep
the students on track and focused at the pertinent information involved. This will involve using a
document reader to project classwork as well as students work on the board to save time (they
don’t have to come up and rewrite their answers). I will be using Geometers Sketchpad to show
angle relationships. I will also be projecting a PowerPoint slide show with examples of problems
to close the lesson.
Reflection/Response – The class will answer problems and give their reasoning. This is
important to make sure that the class understands the lesson. It also helps me pace the lesson
appropriately, not going too fast for the lower level students.
Lecture – It will be very short, and used to get the theorem across to the students who could not
discover it on their own. It will also be used to describe the problems, along with how to solve
them, which we complete in class.
Other: Use of hands on manipulative – We will use rulers to draw diagonals inside polygons at
the start of class in an effort to have the students create the interior angle theorem. These types
of activities are very good for the kinesthetic and visual learners.
MATERIALS AND RESOURCES: Check the non-technology materials and resources you plan to use
in your lesson.
X Visuals (Projector) Reading Materials
Games Maps
X Flat Pictures (Projected) Objects/Artifacts
Manipulatives Guest Speakers
X Handouts – Assisted note packet, Worksheet X List Others: Calculators, Rulers
TECHNOLOGY UTILIZED
Audio CD’s/Cassette Tapes X PowerPoint Slides – Great for the student with a
language barrier and visual learners. They are used
as an exit activity where class answers questions
orally. That helps ensure that they have grasped an
understanding of the lesson.
Overhead Transparencies X Commercial Software (e.g. Inspiration)
Geometer’s Sketchpad
Tape Record/CD Player/MP3 Blog, Wiki, other Web-based communication
VCR/TV/DVD Digital Storytelling
X Assistive Technology Devices (Type)
Calculator
Podcast
Smart Board X Other not listed – Document Reader – Good because
I am able to write my lesson on it using the 8.1
handout as an outline. Makes the pictures much
larger and brighter on the board and well as allows
me to face the class while giving my lesson instead
of being at the board. Also allows me to put students
work up on the projector for the whole class to see.
X Computers/Printers – What PowerPoint slides are on X Internet/Websites (type in URLs)
www.mybigcampus.com A “Facebook” like website where I post notes from
the day along with homework problems for the night.
X Basic software tools (Excel, Word, Access)
My class rosters are in Excel, and the worksheets and
Assistive notes are in Adobe format.
PROCEDURE
Time allocated for lesson: 54 minutes
Day 1
Step 1: Introduction – The students will start with a short exercise on drawing diagonal lines
from the same vertex to all the other vertices in different polygons based on the number of sides
they have (from Triangle to decagon). They will then determine how many triangles are formed
in each polygon from the diagonals and try and derive a pattern bin correlation with on the
number of sides of each polygon. As the class uses their notes, I will then show on Geometer’s
Sketchpad with the use of colored triangles the proper number of diagonals, triangles, and
pattern. I will then show the class that it the shape of the polygons are (side lengths) does not
affect the interior angles, just the number of sides do through the use of Geometers sketchpad.
Step 2: Essential Questions What is the number of degrees inside a triangle?
What is a diagonal?
What is the relationship between the number of sides and number of triangles in a polygon in the
form of a formula?
What is the formula for the sum of interior angles inside a convex polygon?
How do we find measurements of specific angles based on the formula, number of sides of a
polygon and other angle measurements?
Step 3 Exploration – After explaining the formula on Geometers Sketchpad, the learners will
then use their note packets to rewrite their formula and complete one beginner problems with my
guidance. They will then complete three on their own based on finding the sum of interior
angles of a polygon. Then I will collect one student’s packet and show their worked out answers
to the class. Next I will go over how to determine the number of sided from the sum of interior
angles via a class example. The students will then complete 3 questions based on this example
in their packet and I will go over the answers in real-time when they are finished with the use of
my document reader. As a class we will then complete an example where the students have to
find the measurement of a specific angle based on other angles in a polygon. They will then
attempt two problems of this nature on their own and give me the answers accompanied by an
explanation after the class has completed them. I will go over steps using the document reader.
Step 4: Application – They will practice their skills on more example problems from their
assisted note packet on their own, and as a class.
Step 5: Closure and Assessment – To close out the lesson we will complete 3 short problems
from the packet (#3, 4&5 on p. 200), each using multiple concepts that we learned in class today.
I will walk around to check for understanding. Lesson notes as well as homework will be
posted on MyBigCampus for absent students or students who could not keep up with the note
taking in class. Their homework will be pages #510 – 511 in the book, #3 – 13 odd.
Day 2
Step 1: Introduction – We will start with a series of “Do Now” problems from the material we
covered the day before. They will consist of
a) Finding the sum of interior angles based on sides of a polygon and other angles
b) Determining the name of a polygon based on the sum of interior angles
c) Discovering a specific angle measurement though the use of our formula for interior angles
and other angle measurements inside a polygon.
We will then go over homework from the previous night on the document reader, with me
showing step by step how each problem is solved.
Step 2: Essential Questions –
What is the sum of exterior angles of a polygon and how are they related to other specific angles
of said polygon?
How do we compose the interior angles of a regular polygon, and what are they based on the
regular polygons number of sides?
How do we solve for specific variables when algebra is introduced into interior and exterior
angle problems?
Step 3 Exploration – The learners will complete three algebra based interior angle problems
involving angle measurements. I will go over the answer for each one after they have
approximately two minutes per problem to figure out on their own. Each problem will get more
difficult in terms of the algebraic equations being added into the mix that are representing angle
measurements. I will then show the class the polygon exterior angle theorem on Geometer
Sketchpad and our note packet. The will then try five examples on their own based on how
many degrees the exterior of certain polygons have. We will then complete an example as a
class involving finding a specific exterior angle, and the students will then complete two on their
own. I will have a student come to the document reader with their paper and explain how they
arrived at their two answers. We will then discuss regular polygons, and I will show the class
and example on Geometers Sketchpad on how the angles are related. After determining the
formula to solve for the angles we will attempt 3 problems that three students will place on the
board after the class tries them at their desks. We will then conclude using our packet with two
problems based on the lesson from today on a) exterior angles, and b) regular polygon angles.
Step 4: Application – They will practice their skills on the example problems on their own from
the assisted note packet utilizing their group’s members if necessary and having trouble with a
problem.
Step 5: Closure and Assessment – To close out the lesson we will complete four problems
relating to the lesson on a PowerPoint slide show. One problem at a time pops up and I will give
the students approximately one minute to solve it before I will call on someone to explain the
answer and the process they followed to arrive at it. A step by step process is shown on the
slides with each step representing a slide. Lesson notes as well as homework will be posted on
MyBigCampus for absent students or students who could not keep up with the note taking in
class.
ASSESSMENT, PERFORMANCE TASKS, PROJECTS
A test will be given in on Day 12 of our unit. For today’s lesson I will assess the students by
walking around and checking their work as they complete the problems assigned after each part
of the lesson. I will also be able to observe their understanding by how well they do during our
closing exercise. I do not allow the same student to answer more than one question and will be
walking around to assist any students that are still having trouble. This allows multiple students
(eight) to participate and show us what they have mastered. I also try and call on students form
different groups (I have 6 sets of 5 set up in the class at all times). Their final assessment will be
their homework assignment which is to complete a worksheet for me (8.1A) involving 10
problems similar to the ones we will learn how to solve in class. These will be checked and
reviewed the following day of class on the document reader.
DIFFERENTIATION STRATEGIES AND TECHNIQUES
Student with ADHD
I will have the student sit in the front of my classroom close to the projector screen and away
from the window and door. This will insure that I have them in an area where I can focus
their attention on what I am doing and not outside distractions. I plan on giving this student
an outline of the notes I will be using in class to make sure they are able to stay on task and if
they stray they are able to pick up with the class easier. The student will also be able to come
to the board to place answers on it after examples are given to the class. Since the students
have the tendency not to want to stay seated, they will be allowed to get up for a drink of
lavatory break each day if I notice them getting restless. They are also allotted more time on
tests if needed, however have never needed or requested the extra time.
ESL/ELL Learner
This student will also receive assisted notes that we will be using for the lesson where they
only have to fill out part of the notes instead of taking them from scratch. This will help them
focus on the lesson as opposed to trying to understand what I am saying. I will also use
visuals and show step by step on my document reader how problems are solved to go along
with telling the class. By writing down each step, they could follow me even if they do not
understand me. I also have each student who really struggles with the English language sit in
a group with a bilingual student to help translate any tough word to that student for
understanding. On tests I will give them extra help explaining a word problem if they are
having trouble understanding what a word is. I will also let them use books to help them
translate certain words, and soon let them use their phones when that technology becomes
more readily available.
How many
Degrees are
In a triangle?
__________
8
10
9
7
6
4
3
5
Do Now: Below draw diagonals from one vertex to all others.
199
What is the sum of the interior angles of the following figures? (a – c)
a) Dodecagon
180(n – 2) = Angle
b) 18 - gon
c) 503 – gon
What are the names of the following polygons based on their interior angles sum? (I – III)
I) 1440º
Angle = 180(n – 2)
II) 2880º
III) 18000º
Questions What are the sum of the exterior angles of the following five figures?
a) quadrilateral
b) decagon
c) 72-gon
d) 5,999,372-gon
e) n-gon
Find x for 1 - 5 2.
1.
3.
4.
5.
Find x for 1 - 2 2.
1.
For examples a – c find each
angle (interior and exterior) of
each polygon.
a. Decagon
Interior ______
Exterior _____
b. Square
Interior ______
Exterior _____
c. 42 - gon
Interior ______
Exterior ______
EXAMPLE 1 Find the sum of angle measures in a polygon
Find the sum of the measures of the interior
angles of a convex octagon.
SOLUTION
An octagon has 8 sides. Use the Polygon Interior
Angles Theorem.
(n – 2) 180° = Substitute 8 for n. (8 – 2) 180°
Subtract. = 6 180°
Multiply. = 1080°
ANSWER
The sum of the measures of the interior angles of an
octagon is 1080°.
Find the number of sides of a polygon
The sum of the measures of the interior angles of a convex polygon is 900°. Classify
the polygon by the number of sides.
SOLUTION
Use the Polygon Interior Angles Theorem to write an equation involving the number
of sides n. Then solve the equation to find the number of sides.
Polygon Interior Angles Theorem (n –2) 180° = 900°
Divide each side by 180°. n –2 = 5
Add 2 to each side. n = 7
The polygon has 7 sides. It is a heptagon.
ANSWER
EXAMPLE 2
Find the variable based on the exterior angles
SOLUTION
Use the Polygon Exterior Angles Theorem to write and
solve an equation.
Polygon Exterior Angles Theorem x° + 2x° + 89° + 67° = 360°
Combine like terms. 3x + 156 = 360
Solve for x. x = 68
The correct answer is B. ANSWER
EXAMPLE 3
Find angle measures in regular polygons
TRAMPOLINE
The trampoline shown is shaped like a regular dodecagon. Find (a)
the measure of each interior angle and (b) the measure of each
exterior angle.
SOLUTION
a. Use the Polygon Interior Angles
Theorem to find the sum of the
measures of the interior angles.
(n –2) 180° = (12 – 2) 180° = 1800°
EXAMPLE 4
Since a dodecagon has 12 congruent
interior angles:
1800°
12
= 150 ° Divide
Find angle measures in regular polygons
TRAMPOLINE
The trampoline shown is shaped like a regular dodecagon. Find (a)
the measure of each interior angle and (b) the measure of each
exterior angle.
SOLUTION
b. By the Polygon Exterior Angles
Theorem, the sum of the measures of
the exterior angles, one angle at each
vertex, is 360°.
EXAMPLE 4
= 30 ° 360°
A dodecagon has 12 exterior angles
Divide 12
Log In Name : students\(ID Number) Password : Birthday – (Month)/(Day)/(Year)
Example
Hermie Stewart
ID # 14392
Birthday : July 25, 1992
Log In Name : students\14392
Password : 07/25/1992
Your Turn
ID # :
Birthday :
Log In Name : students\ _______
Password : __ __ / __ __ /19__ __
Make sure school is Linden High School
Also you could get the Smart Phone App FREE
Assessment Rubric - Lesson 1 – Day 1
CATEGORY Excellent
3 Good
2 Average
1 Poor
0
“Do Now” -
Drawing
Diagonals
Student shows full
understanding of the
problem and gives the
correct answer.
Student shows partial
understanding of the
problem but does not
arrive at the correct
answer.
Student attempts the
problem but shows no
understanding of the
concepts
Student does not attempt
the “Do Now” Problem
Application of
the Interior
Angles of
Polygon
Formula
Student shows
understanding in both
concepts of the formula
(naming polygon &
finding angle based on
side lengths or vise
versa).
Student shows
understanding in one of
the concepts using the
formula (naming
polygon & finding angle
based on side lengths or
vise versa).
Student shows partial
understanding in the
concepts of the formula,
but cannot arrive at any
correct solutions.
Student does not show
any understanding of
any of the interior angle
formula concepts
Finding
specific values
in Polygons
Student can find values
of variables based on
angles in polygons
based on number of
sides and other given
angles using algebra.
Student can find angles
in polygons based on
number of sides and
other given angles.
Student can set up
problems on using the
formula but is not able
to find the correct
solution and only shows
partial understanding.
Student does not show
any understanding of
finding specific values
in polygons.
Classwork
Participation
Student does all there
work in class and
volunteers to answer
questions when
prompted.
Student takes all their
notes and try’s all the
example problems
Student takes notes, but
does not attempt any
example problems.
Student does not do any
work in class, or only
partially completes
notes.
Closure
Exercise
Student shows full
understand of all three
closure problems.
Student shows full
understanding of two of
the closure problems.
Student shows full
understanding of only
one of the closure
problems
Student does not show
any understanding of
the closure problems.
Student Name: ________________________________________ Total
Assessment Rubric - Lesson 1 – Day 2
CATEGORY Excellent
3 Good
2 Average
1 Poor
0 “Do Now” -
Interior
Angles of
Polygon
Formula
Student shows full
understanding of the
three problems.
Student shows full
understanding of two
problems.
Student shows full
understanding of only
one of the problems.
Student does not attempt
the “Do Now” problems
or does not show any
understanding of them
Finding
Exterior
angles of
Polygons
Student can find values
of variables based on
other exterior angles
included in the polygons
using algebra.
Student shows full
understanding in regards
to finding exterior
angles of polygons
based on other angles.
Student shows partial
understanding in regards
to finding exterior
angles of polygons.
Student does not show
any understanding in
regards to finding
exterior angles of
polygons.
Finding angle
measurements
in regular
polygons
Student can find values
of both interior and
exterior angles in
regular polygons based
on the number of sides it
has.
Student can find values
of either the interior or
exterior angles in
regular polygons based
on the number of sides,
but not both.
Student can set up
problems on using the
formula but is not able
to find the correct
solution and only shows
partial understanding.
Student does not show
any understanding of
finding any angle
measurements in regular
polygons.
Classwork
Participation
Student does all there
work in class and
volunteers to answer
questions when
prompted.
Student takes all their
notes and try’s all the
example problems
Student takes notes, but
does not attempt any
example problems.
Student does not do any
work in class, or only
partially completes
notes.
Closure
Exercise
Student shows full
understand of all four
closure problems.
Student shows full
understanding of two or
three of the closure
problems.
Student shows full
understanding of only
one of the closure
problems
Student does not show
any understanding of the
closure problems.
Student Name: ________________________________________ Total
Seton Hall University
College of Education & Human Services
Graduate Studies and Special Programs
GSSP Lesson Plan
8.6 – Quadrilaterals – Identify Special Quadrilaterals
Name: Rudy Valentino
Date: 3/29/2012 & 3/30/12
School: Linden High School
Setting/Grade Level: Classroom / 9th
& 10th
Subject(s) (List any interdisciplinary (cross-curricular) connections): Geometry CP –
Algebra I
Lesson Theme or Topic: Finding Angle Measurements in Polygons
Composition of Class: Male - 55 Female - 41 ESL - 10 IEP - 2 504
Inclusion Class: No
GOALS, OBJECTIVE(S), STANDARDS
1. Established Goals
Students will be able to have the ability to classify special quadrilaterals based on side lengths
and angle measurements and determine relationships between these specialized quadrilaterals.
2. Student Knowledge, Skills and Enduring Understandings
The student will be able to:
1. Identify the specific name of a quadrilateral based on its side length measurements.
2. Discover the specific name of a quadrilateral based on its angle measurements.
3. Visualize quadrilaterals present in everyday objects.
4. Use their knowledge from previous chapter to determine relationships between specific
quadrilaterals.
5. Find, identify, and record quadrilaterals present around them.
3. Common Core State Standards initiative:
Mathematics
High School: Geometry
Congruence
Experiment with transformations in the plane
G.CO.1. Know precise definitions of angle, circle, perpendicular line, parallel line, and line
segment, based on the undefined notions of point, line, distance along a line, and distance around
a circular arc.
G-CO.2. Represent transformations in the plane using, e.g., transparencies and geometry
software; describe transformations as functions that take points in the plane as inputs and give
other points as outputs. Compare transformations that preserve distance and angle to those that
do not (e.g., translation versus horizontal stretch).
G-CO.3. Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations
and reflections that carry it onto itself.
Prove geometric theorems
G-CO.9. Prove theorems about lines and angles. Theorems include: vertical angles are
congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and
corresponding angles are congruent; points on a perpendicular bisector of a line segment are
exactly those equidistant from the segment’s endpoints.
G-CO.11. Prove theorems about parallelograms. Theorems include: opposite sides are
congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other,
and conversely, rectangles are parallelograms with congruent diagonals.
Make geometric constructions
G-CO.12. Make formal geometric constructions with a variety of tools and methods (compass
and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.).
Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing
perpendicular lines, including the perpendicular bisector of a line segment; and constructing a
line parallel to a given line through a point not on the line.
NJCCC Technology Standards
8.1 Educational Technology
A. Technology Operations and Concepts
12. The use of technology and digital tools require knowledge and the appropriate
use of operations and related applications.
3. Participate in online courses, learning communities, social networks, or
virtual worlds and recognize them as resources for lifelong learning.
B. Creativity and Innovation
P. The use of digital tools and media-rich resources enhances creativity and the
construction of knowledge.
1. Use a digital camera to take a picture.
C. Communication and Collaboration
2. Digital tools and environments support the learning process and foster
collaboration in solving local or global issues and problems.
1. Engage in a variety of developmentally appropriate learning activities
with students in other classes, schools, or countries using electronic tools.
METHODOLOGY
Collaborative Learning – Students will go over the lesson as a class so the students will remain
focused on task.
Problem Solving – Students will solve problems based determining what type of quadrilateral is
present based on its properties. They will also be able to group specific quadrilateral sets based
on these same properties.
Drill/Practice – Students will practice multiple problems on their own to reinforce the lesson
View/Listen/Answer – I will start one day with a Prezi presentation summarizing the Unit and
all the quadrilaterals it involves. We will also use PowerPoint to group specific quadrilaterals.
At the end of the lesson I will put problems on a PowerPoint slide for the class to answer.
Group Discussion – We will discuss the rules as a class, describing why it is rational.
Discovery/Inquiry – I will assist them with grouping the quadrilaterals into a flow chart based
on their properties. They will also discover types of quadrilaterals present in real life situations.
Technology/Delivery – I will use a LCD projector in conjunction with a document reader to
enforce my lesson for the visual and ESL.ELL learners. I will also utilize assisted notes to keep
the students on track and focused at the pertinent information involved. This will involve using a
document reader to project classwork as well as students work on the board to save time (they
don’t have to come up and rewrite their answers). I will use a Prezi presentation to show
vocabulary words. I will also be projecting a PowerPoint slide show with examples of problems
to close the lesson.
Reflection/Response – The class will answer problems and give their reasoning. This is
important to make sure that the class understands the lesson. It also helps me pace the lesson
appropriately, not going too fast for the lower level students.
Lecture – There will be a short review of the vocabulary words from the lesson using a visual
vocabulary technology assisted lesson through a Prezi presentation.
Other: Use of hands on manipulative – We will use a worksheet with a template for each type
of quadrilateral that will require their propertied to be filled in. These types of activities are very
good for the kinesthetic and visual learners. The students will also need a camera device and
type of publishing software to complete their projects on Discovering Quadrilaterals.
MATERIALS AND RESOURCES: Check the non-technology materials and resources you plan to use
in your lesson.
X Visuals (Projector) Reading Materials
Games Maps
X Flat Pictures (Projected) Objects/Artifacts
Manipulatives Guest Speakers
X Handouts – Assisted note packet, Worksheet X List Others: Flow Chart Paper/Quadrilateral
Template
TECHNOLOGY UTILIZED
Audio CD’s/Cassette Tapes X PowerPoint Slides – Great for the student with a
language barrier and visual learners. They are used
as an exit activity where class answers questions
orally. That helps ensure that they have grasped an
understanding of the lesson.
Overhead Transparencies X Commercial Software (e.g. Inspiration)
Geometer’s Sketchpad
PowerPoint
X Tape Record/CD Player/MP3
Digital Camera
Blog, Wiki, other Web-based communication
VCR/TV/DVD Digital Storytelling
Assistive Technology Devices (Type)
Podcast
Smart Board (Can be utilized instead of flow chart
PowerPoint but I do not currently have one in my
classroom)
X Other not listed – Document Reader – Good because
I am able to write my lesson on it using the 8.6
handout as an outline. Makes the pictures much
larger and brighter on the board and well as allows
me to face the class while giving my lesson instead
of being at the board. Also allows me to put students
work up on the projector for the whole class to see.
X Computers/Printers – What PowerPoint slides are on X Internet/Websites (type in URLs)
www.prezi.com – Summary of lesson that is like an
innovative slide show.
www.mybigcampus.com
A “Facebook” like website where I post notes from
the day along with homework problems for the night.
X Basic software tools (Excel, Word, Access)
My class rosters are in Excel, and the worksheets and
Assistive notes are in Adobe format.
PROCEDURE
Time allocated for lesson: 54 minutes
Day 1
Step 1: Introduction – The class will begin by do 2 short “Do Now” problems involving:
a) Finding side lengths of a kite
b) Angle measurements of a kite.
Two students will then place their answers on the board and we will discuss as a class. We will
then go over homework from the previous night on the document reader, with me showing step
by step how each problem is solved. After any questions are answered we will begin the first
day of our lesson on identifying quadrilaterals.
Our class will start with a Prezi presentation on different types of quadrilaterals and their
definitions.
Step 2: Essential Questions How do we determine quadrilaterals names based their side and angle measurements?
What are the congruent side and congruent angles of certain quadrilaterals?
How will we deduct what types of quadrilaterals are being described by both verbal descriptions
and labeled illustrations?
Step 3 Exploration – I will play a Prezi presentation that sums up Unit 8, giving past
definitions as well as different types of quadrilaterals along with their definitions and examples.
After any questions are answered we will begin the first day of our lesson on identifying
quadrilaterals. The students will also be given a sheet of paper with all seven unlabeled
quadrilaterals on it which they will be expected to be able to label parallel sides, congruent
sides, congruent diagonals, congruent angles, and supplementary angles on. This sheet will
have 35 boxes (7 columns by 5 rows) in it with blank quadrilaterals in each box. They can work
in their groups to label and check their work, for we will be using this sheet a key to help us the
remainder of the lesson. The learners will use this key in conjunction with the guided notes
from 8.6, p.218 - 219 to solve problems derived from identifying quadrilaterals. We will
complete the first example together as a class, then they will try checkpoint #1 on their own.
After I go over the answer with their assistance they will then complete two problems on their
own that I will have placed in the left column. I will then go over the answers with the class
using their answers under my document reader while explaining their answers. We will then try
examples 2 and 3 together as a class and then will then try checkpoints 2 and 3 on their own.
Step 4: Application – They will practice their skills on more example problems from the
assisted note packet on their own, and as a class.
Step 5: Closure and Assessment – To close out the lesson the class will solve the four problems
in the left hand column of the page. Four students will place the answers for the four problems
on the board along with their work. I will then go over the answers with the rest of the class.
Two will be naming quadrilaterals based on labeled illustrations, and two will be filling in angles
and/or side lengths in order to prove quadrilaterals are of a certain type. Lesson notes as well as
homework will be posted on MyBigCampus for absent students or students who could not keep
up with the note taking in class.
Day 2
Step 1: Introduction – We will start with a series of “Do Now” problems from the material we
covered the day before. They will consist of 4 problems of 2 of each of the following
categories:
a) Discovering the name of a quadrilateral from a written description
b) Generating a quadrilaterals name from a properly labeled illustration.
We will then go over homework from the previous night on the document reader, with me
showing step by step how each problem is solved. The students will then have a chance to ask
any questions they had form the homework or “Do Now” problems.
Step 2: Essential Questions –
What are certain quadrilaterals based on their verbal and illustrated descriptions?
What are the definitions of a parallelogram, square, rectangle, rhombus, trapezoid, isosceles
trapezoid, and kite?
How do we group quadrilaterals into sub-families based on their properties.
How can we properly organize this data into a flow chart of quadrilaterals?
Step 3 Exploration – The learners will be given a blank flow chart that we will fill out as a class
grouping each of our 7 quadrilaterals into a specific category or sub-category. Using a
PowerPoint slide as a canvas, different types of quadrilaterals will be pulled from a bag and
placed in the appropriate place on our chart. This will group them in subgroups and help the
class relate the different quadrilaterals. We will then complete the diagram and end with answers
questions based on our chart. These questions will consist of problems that relate how different
quadrilaterals are actually other quadrilaterals.
Step 4: Application – The class will be given multiple true/false examples in conjunction with a
Venn Diagram from the assisted note packet to complete based on the lesson we just completed.
Step 5: Closure and Assessment – To close out the lesson we will complete four PowerPoint
problems based on the concepts covered the last two days. We will do this one at a time, with
the students comparing their answers with their groups when they are complete. They will then
discuss the problems and their methodology if they received different answers to see who was
correct and what they did differently. Lesson notes as well as homework will be posted on
MyBigCampus for absent students or students who could not keep up with the note taking in
class.
ASSESSMENT, PERFORMANCE TASKS, PROJECTS
A test will be given in on Day 12 of our unit. For today’s lesson I will assess the students by
walking around and checking their work as they complete the problems assigned after each part
of the lesson. I will also be able to observe their understanding by how well they do during our
closing exercise. I do not allow the same student to answer more than one question and will be
walking around to assist any students that are still having trouble. This allows multiple students
(eight) to participate and show us what they have mastered. I also try and call on students form
different groups (I have 6 sets of 5 set up in the class at all times). Their final assessment will be
their homework assignment which is to complete a worksheet for me (8.6B) involving 10
problems similar to the ones we will learn how to solve in class. These will be checked and
reviewed the following day of class on the document reader.
DIFFERENTIATION STRATEGIES AND TECHNIQUES
Student with ADHD
I will have the student sit in the front of my classroom close to the projector screen and away
from the window and door. This will insure that I have them in an area where I can focus
their attention on what I am doing and not outside distractions. I plan on giving this student
an outline of the notes I will be using in class to make sure they are able to stay on task and if
they stray they are able to pick up with the class easier. The student will also be able to come
to the board to place answers on it after examples are given to the class. Since the students
have the tendency not to want to stay seated, they will be allowed to get up for a drink of
lavatory break each day if I notice them getting restless. They are also allotted more time on
tests if needed, however have never needed or requested the extra time.
ESL/ELL Learner
This student will also receive assisted notes that we will be using for the lesson where they
only have to fill out part of the notes instead of taking them from scratch. This will help them
focus on the lesson as opposed to trying to understand what I am saying. I will also use
visuals and show step by step on my document reader how problems are solved to go along
with telling the class. By writing down each step, they could follow me even if they do not
understand me. I also have each student who really struggles with the English language sit in
a group with a bilingual student to help translate any tough word to that student for
understanding. On tests I will give them extra help explaining a word problem if they are
having trouble understanding what a word is. I will also let them use books to help them
translate certain words, and soon let them use their phones when that technology becomes
more readily available.
1. What quadrilaterals
have 4 sides that are
always congruent? Draw and label.
2. What quadrilaterals
have opposite sides
that are NOT
congruent? Draw and label.
What are the specific
names of the two
quadrilaterals below?
1.
2.
Show that the figure
below is a Rhombus.
Show that the figure
below is a kite.
x = _____ y = _____
a = _____ c = _____
b = _____ d = _____
3.
4.
Trapezoid Parallelogram Rectangle Square Isosceles
Trapezoid Rhombus
Answer the following questions using your flow chart (True or False). Explain answer of false.
1) A rectangle is always a square.
2) A square is always a rectangle.
3) A kite is always a parallelogram.
4) An isosceles trapezoid is always a quadrilateral.
5) A rhombus is always a parallelogram.
6) A square is always a rhombus.
7) A parallelogram is sometimes a rhombus.
8) A parallelogram is always a rectangle.
9) A rhombus is always a rectangle.
10) A kite is sometimes a trapezoid.
Venn Diagram
EXAMPLE 1 Identify quadrilaterals
Quadrilateral ABCD has at ONLY one pair of opposite
parallel sides. What types of quadrilaterals meet this
condition?
SOLUTION
There are two possibilities.
Trapezoid Isosceles Trapezoid
EXAMPLE 2 Name the Quadrilateral
What is the most specific name of Quadrilateral ABCD?
ANSWER Rectangle Parallelogram
NO Right Angles Only One Pair of Parallel sides
EXAMPLE 3 Fill in values for a quadrilateral
Show that PQRS is a parallelogram.
ANSWER
P S
R Q
a
55° c
b
y
43
15
x
a =
b =
c =
x =
y =
Opposite
sides are
congruent
Opposite
angles are
congruent
Consecutive
angles are
supplementary
43
15 55° 125°
125°
180° - 55° = 125°
Relationships of quadrilaterals
Is a parallelogram ALWAYS a rectangle?
Why or why not?
ANSWER
EXAMPLE 4
A parallelogram does not always have right angles.
A parallelogram is a rectangle SOMETIMES.
A rectangle is always a parallelogram.
Assessment Rubric - Lesson 2 – Day 1
CATEGORY Excellent
3 Good
2 Average
1 Poor
0 “Do Now” -
Finding side
lengths and
angles of a
Kite
Student shows full
understanding of both
the kite problems.
Student can find either
the side lengths or
interior angles of a kite,
but not both
Student shows partial
understanding on how to
find measurements of a
kite.
Student does not attempt
the “Do Now” problems
or does not show any
understanding of them
Labeling
Quadrilaterals
Student can successfully
label all 35 of the
quadrilaterals on their
sheet.
Student can successfully
label at least 28 of the
35 quadrilaterals on
their sheet.
Student can successfully
label at least 14 of the
35 quadrilaterals on
their sheet.
Student cannot or will
not label at least 14 of
the 35 quadrilaterals on
their sheet.
Naming
Quadrilaterals
based on
labels
Student can name all
quadrilaterals based on
angle or side length
measurements.
Student can name most
quadrilaterals based of
angle or side length
measurements.
Student can name some
quadrilaterals based on
angle or side length
measurements.
Student cannot name
any quadrilaterals based
on labels.
Classwork
Participation
Student does all there
work in class and
volunteers to answer
questions when
prompted.
Student takes all their
notes and try’s all the
example problems
Student takes notes, but
does not attempt any
example problems.
Student does not do any
work in class, or only
partially completes
notes.
Closure
Exercise
Student shows full
understand of all four
closure problems.
Student shows full
understanding of two or
three of the closure
problems.
Student shows full
understanding of only
one of the closure
problems
Student does not show
any understanding of the
closure problems.
Student Name: ________________________________________ Total
Assessment Rubric - Lesson 2 – Day 2
CATEGORY Excellent
3 Good
2 Average
1 Poor
0
“Do Now” -
Naming
Quadrilaterals
Student can answer all
four problems based on
naming a quadrilateral
from a written and
visual description.
Student can answer
three of four problems
based on naming a
quadrilateral from a
written and visual
description.
Student can only answer
problems based on
naming a quadrilateral
from a written or visual
description.
Student does not attempt
the “Do Now” problems
or does not show
understanding of them.
Organizing
Quadrilaterals
Student can successfully
group the 7
quadrilaterals into
“families” and set up a
chart showing which
ones are subgroups of
others.
Student can group
quadrilaterals together
but cannot tell which
one belongs to which
subgroup.
Student can distinguish
some quadrilaterals
from each other but
cannot group them
together properly.
Student cannot group
any of the quadrilaterals
together based on
properties.
Answering
Quadrilateral
subgroup
questions
Student answers most
grouping questions with
proper explanations and
create a Venn diagram
relating he 7
quadrilaterals together.
Student answer most
grouping questions with
proper explanations of
how they arrived at
there answers.
Student can answer
some grouping
questions, but cannot
explain why or why not
they answered the way
they did.
Student cannot answer
any questions based on
grouping quadrilaterals.
Classwork
Participation
Student does all there
work in class and
volunteers to answer
questions when
prompted.
Student takes all their
notes and try’s all the
example problems
Student takes notes, but
does not attempt any
example problems.
Student does not do any
work in class, or only
partially completes
notes.
Closure
Exercise
Student shows full
understand of all four
closure problems.
Student shows full
understanding of two or
three of the closure
problems.
Student shows full
understanding of only
one of the closure
problems
Student does not show
any understanding of the
closure problems.
Student Name: ________________________________________ Total
Chapter Test
Name: ____________________________________ Chapter 8 Test – Quadrilaterals
For 1 & 2 find the sum of the interior angles of the polygon.
1. Pentagon
2. 42-gon
For 3 & 4 find the measure of an interior and exterior angle of the following regular polygons.
3. Octagon
Interior Angle = ___________
Exterior Angle = ___________
4. 25-gon
Interior Angle = ___________
Exterior Angle = ___________
For 5 – 18 solve for the variable requested.
5.
x = ___________
6.
x = ___________
7. Rectangle
a = _______ b = _______ c = _________
d = _______ x = ________ y = _________
8. a = ______ f = _______
b = ______ g = _______
c = ______ h = _______
d = ______ i = _______
Rectangle e = ______ j = _______
9. a = ______
b = ______
c = ______
x = ______
Parallelogram y = ______
10.
a = ______ f = _______
b = ______ g = _______
c = ______ h = _______
d = ______ i = _______
Parallelogram e = ______ j = _______
11.
a = ______ x = _______
b = ______ y = _______
w = ______ z = _______
Square
12.
a = ______ f = _______
b = ______ g = _______
c = ______ h = _______
d = ______ i = _______
Square e = ______ j = _______
13.
a = ______ x = _______
b = ______ y = _______
c = ______ z = _______
Rhombus
14. a = ______ f = _______
b = ______ g = _______
c = ______ h = _______
d = ______ i = _______
Rhombus e = ______ j = _______
15. a = ______
b = ______
c = ______
d = ______
Isosceles Trapezoid
16.
x = ______
y = ______
Isosceles Trapezoid
17.
a = ______
b = ______
x = ______
y = ______
Kite
18.
a = ______ f = _______
b = ______ g = _______
c = ______ h = _______
d = ______ i = _______
Kite e = ______ j = _______
For 19 & 20 solve for the variables using the midsegment theorems.
19.
x = ______
y = ______
z = ______
20.
x = ______
a = ______
b = ______
Draw the following quadrilaterals labeling the congruent sides and angles (no diagonals necessary).
21. Parallelogram
22. Square 23. Rectangle
24. Isosceles Trapezoid
25. Kite
26. Rhombus
Geometry Quadrilateral Project
1. Take pictures of the 7 quadrilaterals that we have covered in this unit.
a) Parallelogram
b) Rectangle
c) Rhombus
d) Square
e) Trapezoid
f) Isosceles Trapezoid
g) Kite
Whatever objects shaped like these polygons are acceptable (you cannot draw figure and take its
picture or use a picture off Google images).
2. Create a Poster containing these pictures with proper labels.
You can use Power Point, Word, Paint, or any other program to show your pictures.
If you do not have access to any of these technological programs you may cut and paste
pictures on a poster board no smaller than 8’ x 11” and no larger than 20” x 30”.
Power Point is the easiest to use
Insert the 7 pictures into one slide.
Insert text of their names under the pictures.
Print out your slide and place your name on the back.
Horizontal or vertical arrangement is up to you.
The pictures should not overlap (click and drag them to different spots)
They should all be about the same size (click corner of picture and drag inward to make
smaller and drag outward to make larger).
The slide should have a title (Use word art insertion for nicer graphics)
Name: _____________________________
Making A Poster : Quadratic Poster
CATEGORY Excellent
3 Good
2 Average
1 Poor
0
Graphics -
Clarity
Graphics are all in focus
and the content easily
viewed and identified
from 6 ft. away.
Most graphics are in
focus and the content
easily viewed and
identified from 6 ft.
away.
Some graphics are not
in focus but the content
is easily viewed and
identified from 3ft.
away.
Many graphics are not
clear or are too small.
Labels
All items of importance
on the poster are clearly
labeled and all figures
are highlighted.
Some items on the
poster are clearly
labeled or some figures
are highlighted.
Items on the poster are
not clearly labeled or
figures are not
highlighted.
No labels or highlights
of quadrilaterals.
Content -
Accuracy
All seven figures
displayed on the poster
accurately.
4 - 6 accurate figures are
displayed on the poster.
1 - 3 accurate figures are
displayed on the poster.
No accurate figures are
displayed on the poster.
Graphics -
Originality
All of the graphics used
on the poster were
captured by the student
Most of the graphics on
the poster were created
by the student
Some of the graphics
are made by the student,
but most are copied
from pther sources
No graphics made by
the student are included.
Attractiveness
The poster is
exceptionally attractive
in terms of design,
layout, and neatness.
The poster is attractive
in terms of design,
layout and neatness.
The poster is acceptably
attractive though it may
be a bit messy.
The poster is
distractingly messy or
very poorly designed. It
is not attractive.
Student Name: ________________________________________ Total .
Seton Hall University College of Education and Human Services
Graduate Studies and Special Programs
EDST6306 Instructional Design Capstone Project
Name: Rudy Valentino
CRITERIA Target
4
Highly Acceptable
3
Acceptable
2
Not good
1
Unacceptable
0
Total
Audience
Description
The description of the
audience clearly
describes prior
knowledge, learner
characteristics,
developmental stages,
and needs.
Most of the
description of the
audience clearly
describes prior
knowledge, learner
characteristics,
developmental
stages, and needs.
Description is
general and the
appropriateness of
the lesson for this
group is clear.
Some description
is general and the
appropriateness of
the lesson for this
group is lacking
clarity.
Description vague
and
appropriateness of
the lesson for this
group is not
convincing.
Learning
Strategies &
Activities
A variety of creative
and thoughtful
instructional strategies
and activities support
learning objectives and
outcomes.
Instructional
strategies support
learning objectives
and outcomes.
Frequent correlation
between
instructional
strategies and
objectives.
Some correlation
between strategies
and objectives.
No correlation
between strategies
and objectives.
Technology
Use &
Strategies
Technology supports
objectives, advances
student learning, is
fully integrated into the
lesson, and students use
technology.
Most technology
supports objectives,
advances student
learning, is fully
integrated into the
lesson, and students
use technology
Technology and
curriculum
integrated. Teacher
uses technology to
deliver information
and perform
demonstrations.
Students may use
technology.
Some evidence of
technology and
curriculum
integrated
however, better
choices would
have greatly
enhanced the
lesson.
No evidence of
integration of
technology.
Technology is not
related to specific
lesson objectives
and does not
advance student
learning.
Objectives
and
Standards
Objectives clearly
describe specific
behavior, are related to
content, are
measurable, and are
related to NJ Core
Curriculum Standards
and technology
standards.
Most objectives
describe specific
behavior, are related
to content, are
measurable, and are
related to NJ Core
Curriculum
Standards and
technology standards.
The relationship of
objectives to student
behaviors, content,
and NJ Core
Curriculum and
technology
standards are not
consistent and/or
clearly stated.
Objectives
sometimes, but not
always describe
specific behavior,
are not always
related to content,
are not always
measurable, and
are not always
related to NJ Core
Curriculum
Standards and
technology
standards.
Objectives do not
describe specific
behavior, are not
related to content,
are not measurable,
and are unrelated
to NJ Core
Curriculum
Standards and
technology
standards.
Lesson
Description
and
Procedures
Excellent description
that is sufficiently clear
to enable another
teacher to use the
lesson appropriately.
Description is
sufficiently clear to
enable another
teacher to use the
lesson appropriately,
with some minor
editing needed.
Description and
procedures are
sometimes vague,
unclear, confusing
or difficult to
follow.
Description and
procedures
specified, but not
clearly described
in enough detail
for another teacher
to use the lesson.
Description and
procedures are
consistently vague,
unclear, confusing
or difficult to
follow.
Text &
Graphics
Fonts legible on all
products and text
limited on all slides.
Readability and design
enhanced by color, size,
and style of font. Sharp
and attractive graphics.
Enhance the
understanding of
concepts, ideas and
relationships and enrich
the presentation.
Fonts legible on most
products and text
limited on slides.
Readability and
design enhanced by
color, size, and style
of font. Sharp and
attractive graphics.
Enhance the
understanding of
concepts, ideas and
relationships and
enrich the
presentation.
Fonts legible on
most products
and/or too much
text on slides. Few
slides may be fuzzy
or poor quality.
Graphics visually
depict material
relevant to the
presentation and
assist the audience
to understand the
flow of the content.
Extensive text, too
many fonts used,
or size, color, style
or placement
affects readability.
Few or poor
quality or fuzzy
graphics, but
appropriate for
product.
Extensive text, too
many fonts used,
or size, color, style
or placement
affects readability.
Lack of graphics
altogether or they
are poor quality,
fuzzy, unrelated to
content,
distracting, and do
not enhance
understanding of
the content.
Design &
Layout
Aesthetically pleasing
background and color
scheme that enhance
the theme of the
presentation, contribute
to the message, and do
not distract from text or
graphics.
Most slides have an
aesthetically pleasing
background and color
scheme that enhance
the theme of the
presentation,
contribute to the
message, and do not
distract from text or
graphics.
Pleasing color
scheme.
Background and
color are fairly
consistent. Good
contrast. Noise in
communication on
few slides. Space
used appropriately
with headings and
subheadings.
Few slides have:
pleasing color
scheme; consistent
background and
color; and good
contrast. Noise in
communication on
many slides. Space
sometimes used
appropriately with
headings and
subheadings.
Background and
color are
inconsistent. Poor
contrast with text
and Noise in
communication on
most slides. No
“safe” area on
slide. Cluttered and
confusing.
Creativity
Graduate level
production appropriate
to the candidate`s
defined area of study
(PDP, SLMS, IDAT) in
which creativity and
independent thought are
used to expand ideas,
and does not simply
repeat what has been
heard or read.
Graduate level
production
appropriate to the
candidate`s defined
area of study (PDP,
SLMS, IDAT) in
which content and
ideas show some
evidence of
originality and effort.
Graduate level
production
appropriate to the
candidate`s defined
area of study (PDP,
SLMS, IDAT) in
which creative
effort is
demonstrated
sporadically
throughout;
inconsistencies
apparent..
Extensively uses
the ideas of others
and shows overall
lack of effort.
Unacceptable
graduate level
production.
Disinterest in
learning new ways
to teach is evident
in the lack of
overall effort.
Unacceptable
graduate level
production.
Print,
Audiovisual,
Computer-
Based &
Integrated
Technologies
Demonstrates a high
level of knowledge,
expert skills, and highly
appropriate dispositions
to develop instructional
materials and
experiences using print,
audiovisual, computer-
based & integrated
technologies and
facilitate a smooth
presentation without
any technical problems.
Demonstrates the
knowledge, skills,
and dispositions to
develop instructional
materials and
experiences using
print, audiovisual,
computer-based &
integrated
technologies and
facilitate a smooth
presentation with
minor technical
problems.
Demonstrates
emerging
knowledge, skills,
and dispositions to
develop
instructional
materials and
experiences using
print, audiovisual,
computer-based &
integrated
technologies and
facilitate a smooth
presentation with
some technical
problems.
Demonstrates little
knowledge, few
skills, and few
dispositions to
develop
instructional
materials and
experiences using
print, audiovisual,
computer-based &
integrated
technologies and
experiences many
technical problems
while presenting.
Candidate does not
show competency
to develop
instructional
materials and
experiences using
print, audiovisual,
computer-based &
integrated
technologies and
experiences
numerous technical
problems during
presentations.
Leadership &
Presentation
Rehearsed, powerful
presentation, easy to
follow and presented
with emphasis and
meaning within allotted
time.
Rehearsed,
information
presented in a clear
manner, met time
constraints.
Rehearsed in parts,
most of the
information was
presented in a clear
manner, met time
constraints.
Candidate read
presentation
materials to
audience did not
engage audience,
did not appear
comfortable or
interested in the
material presented.
Not rehearsed; did
not meet time
allotment;
confusing, poor
presentation
distracted audience
from message.
References
Gay, G. (1998). What are my Learning Strengths? Learning Disabilities Research Community.
Retrieved January 26, 2012 from http://www.ldrc.ca/projects/miinventory/mitest.html.
Google images. Retrieved March 4, 2012 from http://www.google.com.
Larson, B. K. (2007). Geometry. Evanston, IL: McDougal Littell.
Larson, B. K. (2007). Geometry chapter 8 resource book. Evanston, IL: McDougal Littell.
McKenzi, W. (1999). Multiple Intelligence Inventory. The One and Only Surfaquarium.
Retrieved January 26, 2012 from http://surfaquarium.com/MI/inventory.htm.
Moursund, D. (2003). Project-based learning using information technology, 2nd edition. Eugene,
OR: ISTE Publications.
Reid, J. (1984.). Perceptual Learning-Style Preference Questionnaire. The Looking Ahead Virtual
Office. Retrieved January 26, 2012 from http://lookingahead.heinle.com/filing/l-styles.htm.
Robyler, M. D. (2010). Integrating educational technology into teaching, 5th edition. Upper Saddle
River, NJ: Pearson Education, Inc.
School Report Card (2011). Linden. State of New Jersey Department of Education. Retrieved
January 26, 2012 from http://education.state.nj.us/rc/rc10/rcoptions.php?c=39;
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