The Size of Things

by Justin Burniske and Noor Hoque

Background
Anchor Video
Concept Map
Project Calendar
Lesson Plans
Letter to Parents
Assessments
Resources
Modifications
Grant

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

  • 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.