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Assessments
Breakdown of Assessment |
Percentage of Total Grade |
Homework |
15 % |
Weekly Quizzes |
15% |
Word Journals |
10% |
Journal Presentation |
5% |
Final Project |
15 % |
Project Presentation |
10 % |
Formative Assessment CAT |
15 % |
Final Assessment |
15 % |
Formative Assessments
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Memory Matrix So students
get a good overview of the relations between the different scales of measurements.
-
Word Journal- To see if students are making connections between
new topics learnt and real life application
-
Content, Form, and Function Outlines to assess how well students
can separate and analyze information methodically.
-
Minute Paper -To see if the students are listening and understanding
others presentations
-
Problem Recognition Tasks- to measure how well students
are able to apply what they have learnt
-
Weekly Quizzes To check students understanding of new material
covered in class
-
Homework to make students familiar with procedural techniques
through practice
Summative Assessments
-
Project to see how well students demonstrate knowledge and
skills learnt during the unit
-
Oral Presentations to check how well they are able to provide
explanations of their work
-
Final Unit Test To see if the students can recognize applications
where a specific function can be used.
Memory Matrix: For assessing prior knowledge, recall
and understanding,
Since our project deals with applications
of Units of Measure, it is important that students get an overview of the
relations between the different scales of measurements; metric, imperial,
Richter, how to convert from one to the other and when best to choose certain
scales. In planning for a quick skim over this, we had decided to set up stations
featuring objects/ scaled drawings of various lengths, weights, areas, volumes
and rates. Students would be asked to measure, make observations and arrive
at their own conversion charts, which would be handy for other lessons further
into our unit project. The graphic quality of this method of assessment makes
it an efficient tool and facilitates for easy retrieval of facts. This is
useful as the students can provide feedback that can be quickly scanned and
easily analyzed. We can see not only whether the students have knowledge of
the basic information but also how well they have organized the information
and processed the inter-relationships between the key facts.
Content, Form, and Function Outlines:
to evaluate students' skills
in analyzing and critical thinking.
We would require students to write brief notes
answering the “what, how and why” in an outline form that can be quickly assessed.
In eliciting the information, I can check how well they separate and analyze
information. This exercise encourages students to analyze information methodically
and critically. It also promotes thinking about patterns and common structures
to represent real world situations mathematically. We would implement this
CAT frequently during my lessons of functions; linear, polynomial, logarithmic,
and exponential growths and decay. In reading about real world phenomenon;
different rates and speeds, population growths, roller coaster rides students
would need to build a table of data to best interpret and organize information
provided. They would also find it useful to display the data in graphical
forms. We hope to impress students on how important it is to choose scale
and appropriate unit of measures in functional representation of subject matter
of very similar content. Being able to verbalize, discuss and negotiate the
best representation of a given set of data is a useful skill to develop.
Problem Recognition Tasks: To evaluate students' skills
in problem solving
Once students have attained mastery of the
necessary knowledge and skills, we would put forth more challenging word problems
to hone in their skills to prepare for exams. Good problem solvers recognize
the types of problems they are dealing with and are able to decide on the
principles and techniques need to solve them. To assess how well the students
are able to distinguish between different types of functions for example,
they will receive a short one page assignment adapted from the final exam.
Students work in small groups to benefit for the collaborative learning process.
This is especially useful where there is a wide variation in metacognitive
skill levels among students. The students need to indicate or predict which
kind of graphical representation would best model the set of data given. If
students were found to be having problems with say, exponential functions,
the calendar could be revised to spend more time on this area. I need to be
aware of course that even though students may be able to recognize a problem
type, they would not necessarily know how to solve it.
Word journal: To evaluate students' skills in
synthesis and creative thinking.
I would require students to make two a week.
The first would record at least one new concept learnt. The second would be
a little more involved as students would be asked to explain how they applied
e.g. rates and proportion to their everyday life. This way we get to examine
how well students synthesize prior knowledge and course content. Additionally
we can assess their ability to interweave the familiar with the new in unexpected
and stimulating ways. We are considering giving extra credit if they show
evidence of having discussed their ideas with others. This is to encourage
students to make personal connections, and take responsibility for their ideas.
In promoting active learning to help learners construct their own knowledge
structures, students should have the chance to articulate and make explicit
their implicit ideas.
Word Journal Rubric
CATEGORY |
4 |
3 |
2 |
1 |
Mathematical
Concepts |
Explanation shows complete understanding of the mathematical
concepts used to solve the problem(s). |
Explanation shows substantial understanding of the
mathematical concepts used to solve the problem(s). |
Explanation shows some understanding of the mathematical
concepts needed to solve the problem(s). |
Explanation shows very limited understanding of the
underlying concepts needed to solve the problem(s) OR is not written. |
Number of Examples |
The journal has 11 or more different examples of math
in real life. |
The journal has 10 different examples of math in real
life. |
The journal has 5 - 9 different examples
of math in real life. |
The journal has 1 4 different examples of math in
real life. |
Strategy/
Procedures |
Typically, uses an efficient and effective strategy
to solve the problem(s). |
Typically, uses an effective strategy to solve the
problem(s). |
Sometimes uses an effective strategy to solve problems,
but does not do it consistently. |
Rarely uses an effective strategy to solve problems. |
Self-Identifies
Areas of Difficulty |
Asks questions or provides examples of learned material
in 4 entries over four week period |
Asks questions or provides examples of learned material
in 3 entries over four week period |
Asks questions or provides examples of learned material
in 2 entries over four week period |
Asks questions or provides examples of learned material
in 1 entry over four week period |
Mathematical
Terminology and Notation |
Correct terminology and notation are always used, making
it easy to understand what was done. |
Correct terminology and notation are usually used,
making it fairly easy to understand what was done. |
Correct terminology and notation are used, but it is
sometimes not easy to understand what was done. |
There is little use, or a lot of inappropriate use,
of terminology and notation. |
Diagrams
and Sketches |
Diagrams and/or sketches are clear and greatly add
to the reader's understanding of the procedure(s). |
Diagrams and/or sketches are clear and easy to understand. |
Diagrams and/or sketches are somewhat difficult to
understand. |
Diagrams and/or sketches are difficult to understand
or are not used. |
Neatness
and Organization |
The work is presented in a neat, clear, organized fashion
that is easy to read. |
The work is presented in a neat and organized fashion
that is usually easy to read. |
The work is presented in an organized fashion but may
be hard to read at times. |
The work appears sloppy and unorganized. It is hard
to know what information goes together. |
Evidence
of collaboration |
The work is evident of adjustments made due to listening
to suggestions and working cooperatively. |
The work shows evidence of adjustments made but no
indication of working cooperatively. |
There was cooperation with others, but record of it
in the journal. |
There was no record of discussion or adjustments made
to first entries. |
Oral Presentation Rubric
Category |
4 |
3 |
2 |
1 |
Creativity |
Very original
presentation of material; uses the unexpected to
full advantage; captures
audience’s attention |
Some originality
apparent; good variety and blending of
materials/media |
Little or no variation; material presented
with little originality or interpretation |
Repetitive with little or no variety; insufficient
use of multimedia |
Coherence and
Organization |
Concept is clearly stated and developed;
specific
examples are appropriate and clearly develop
thesis; conclusion is clear; shows control; flows
together well; good transitions; succinct but not choppy; well
organized |
Most information
presented in logical sequence; generally very
well organized but better transitions from idea to idea and medium to
medium needed |
Concept and ideas are loosely connected;
lacks
clear transitions; flow and organization are
choppy |
Presentation is choppy and disjointed;
does not flow; development of
thesis is vague; no
apparent logical order of
presentation |
Material |
Balanced use of
Multimedia materials; properly used to develop thesis; use of media
is varied and appropriate |
Use of multimedia not as varied and not
as well connected to thesis |
Choppy use of multimedia materials; lacks
smooth transition from one medium to another; multimedia not clearly
connected to thesis |
Little or no multimedia used or ineffective
use of multimedia; imbalance in use of materials—too much of one, not
enough of another |
Speaking Skills |
Poised, clear articulation; proper volume;
steady rate; good posture and eye contact; enthusiasm; confidence |
Clear articulation but not as polished |
Some mumbling; little eye contact; uneven
rate; little or no expression |
Inaudible or too loud; no
eye contact; rate too slow/fast; speaker seemed uninterested and used
monotone |
Length of
Presentation |
Within two minutes of allotted time +/- |
Within four minutes of allotted time +/- |
Within six minutes of allotted time +/- |
Too long or too short; ten or more minutes
above or below the allotted time |
Final
CATEGORY |
4 |
3 |
2 |
1 |
Overall Impression |
Display reflects great
efforts by student. It is well put together and aesthetically pleasing
in terms of design, layout, and neatness. |
Display reflects good
efforts by student. It is neat and clear. Elements may be missing. |
Display reflects little
moderate efforts by student. It may not be well organized. Vague understanding
is evident. |
Display reflects poor
or no effort by student. It is not well put together. Student understands
little of the subject matter. |
Display |
Each element in the display
had a function and clearly served to illustrate some aspect of the scaling.
All items, 6, graphs etc. were neatly and correctly labeled. |
Each element had a function
and clearly served to illustrate some aspect of the experiment. Most
items, 6, graphs etc. were neatly and correctly labeled. |
Each element had a function
and clearly served to illustrate some aspect of the experiment. Most
items, 6, graphs etc. were correctly labeled. |
The display seemed incomplete
or chaotic with no clear plan. Many labels were missing or incorrect. |
Mathematical concepts
and correctness |
Display shows complete
understanding of the mathematical concepts involved, and an ability
to communicate them to others. |
Display shows substantial
understanding of the mathematical concepts involved, and a general ability
to communicate them to others. |
Display shows some understanding
of the mathematical concepts involved. |
Display shows very limited
understanding of the underlying concepts involved. |
Mathematical Terminology
and Notation |
Correct terminology and
notation are always used. |
Correct terminology and
notation are usually used. |
Correct terminology and
notation are sometimes used. |
There is little use,
or a lot of inappropriate use, of terminology and notation. |
Use of technology,
graphics, visuals, or manipulative |
Visuals are creative,
clear, and well-chosen, and greatly add to the viewers’ understanding. |
Visuals are mostly creative,
clear, and well-chosen, and add somewhat to the viewers’ understanding. |
Visuals are somewhat
difficult to understand, or poorly chosen for the information being
conveyed. |
Visuals are very difficult
to understand or are not used (when they should have been). |
Reference Material |
A variety of types of
reference material is used, and such references are clearly cited in
a correct and responsible manner. |
A limited list of reference
material is used, and such references are clearly cited in a correct
and responsible manner. |
An extremely limited
list of reference material is used, and such references are clearly
cited in a correct and responsible manner. |
References that are used
inappropriately or are uncited give rise to plagiarism. Be sure you
understand what constitutes plagiarism. |
Labels |
At least 12 accurate
facts of importance on the model are clearly labeled with labels that
are legible from at least 3 ft. away. |
9-10 accurate facts of
importance on the model are clearly labeled with labels that can be
read from at least 3 ft. away. |
5-7 accurate facts of
importance on the model are clearly labeled with labels that can be
read from at least 3 ft. away. |
Less than 5 accurate
facts are displayed. Labels are too small to view OR no important items
were labeled. |
Contributions |
Routinely provides useful
ideas when participating in the group and in classroom discussion. A
definite leader who contributes a lot of effort. |
Usually provides useful
ideas when participating in the group and in classroom discussion. A
strong group member who tries hard! |
Sometimes provides useful
ideas when participating in the group and in classroom discussion. A
satisfactory group member who does what is required. |
Rarely provides useful
ideas when participating in the group and in classroom discussion. May
refuse to participate. |
Focus on the task |
Used time well during
each class period Consistently stays focused on the task and what needs
to be done. Very self-directed. |
Used time well during
each class period Focuses on the task and what needs to be done most
of the time. Other group members can count on this person. |
Focuses on the task and
what needs to be done some of the time. Other group members must sometimes
remind to keep this person on-task. |
Rarely focuses on the
task and what needs to be done. Lets others do the work. |
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