Math Assessment / Review

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Physics involves the study, prediction, and analysis of real-world phenomena.  To communicate data accurately, we must set specific standards for our basic measurements.  The physics community has standarized on what is known as the Système International (SI), which defines seven baseline measurements and their standard units, forming the foundation of what is called the metric system of measurement.  The SI system is oftentimes referred to as the mks system, as the three most common measurement units are meters, kilograms, and seconds, which we’ll focus on for the majority of this course.  The fourth SI base unit we’ll use in this course, the ampere, will be introduced in the current electricity section.

The base unit of length in the metric system, the meter, is roughly equivalent to the English yard.  For smaller measurements, the meter is divided up into 100 parts, known as centimeters, and each centimeter is made up of 10 millimeters.  For larger measurements, the meter is grouped into larger units of 1000 meters, known as a kilometer.  The length of a baseball bat is approximately one meter, the radius of a U.S. quarter is approximately a centimeter, and the diameter of the metal in a wire paperclip is roughly one millimeter.

The base unit of mass, the kilogram, is roughly equivalent to two U.S. pounds.  A cube of water 10cm x 10cm x 10cm has a mass of 1 kilogram.  Kilograms can also be broken up into larger and smaller units, with commonly used measurements of grams (1/1000th of a kilogram) and milligrams (1/1000th of a gram).  The mass of a textbook is approximately 2 to 3 kilograms, the mass of a baseball is approximately 145 grams, and the mass of a mosquito is 1 to 2 grams.

The base unit of time, the second, is likely already familiar.  Time can also be broken up into smaller units such as milliseconds (10-3 seconds), microseconds (10-6 seconds), and nanoseconds (10-9 seconds), or grouped into larger units such as minutes (60 seconds), hours (60 minutes), days (24 hours), and years (365.25 days).

The metric system is based on powers of 10, allowing for easy conversion from one unit to another.  The front page of the Physics Reference Table includes a chart showing the meaning of the commonly used metric prefixes, which can be extremely valuable in performing unit conversions.

Intro to Regents Physics

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Expectations

My expectations for the year are simple yet far-reaching:

  1. Come prepared to class each and every day.
  2. Give me your best effort each and every day.
  3. Be respectful – to yourself, to your classmates, and to the instructor.
  4. Conduct yourself in a professional manner.

The following classroom rules should also be observed:

  1. Giving less than your best at any time will not be tolerated. If you put the effort in, I will MORE than meet you halfway this year. We will embrace a goal of EVERY STUDENT succeeding in physics at the beginning of the year, and we will achieve that goal by the end of the year through effort, dedication, discipline, and teamwork.
  2. No electronic entertainment devices, non-educational websites, or cell phones are to be used during class time unless authorized as part of the classroom activity and used appropriately. Inappropriate use of technology will result in confiscation of the device and/or loss of computer privileges. If an emergency arises, please seek the instructor’s permission in advance.
  3. No pants are to be worn below the waist line. A belt will be provided to you should you choose not to comply.

Materials needed for this class:

  1. Notebook
  2. Calculator (scientific)
  3. Binder
  4. Pen/Pencil
  5. Enthusiasm and a positive attitude


Homework:

 

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Intro to Regents Physics

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Classroom Expectations

My expectations for the year are simple yet far-reaching:

  1. Come prepared to class each and every day.
  2. Give me your best effort each and every day.
  3. Be respectful – to yourself, to your classmates, and to the instructor.
  4. Conduct yourself in a professional manner.

The following classroom rules should also be observed:

  1. Giving less than your best at any time will not be tolerated. If you put the effort in, I will MORE than meet you halfway this year. We will embrace a goal of EVERY STUDENT succeeding in physics at the beginning of the year, and we will achieve that goal by the end of the year through effort, dedication, discipline, and teamwork.
  2. No electronic entertainment devices, non-educational websites, or cell phones are to be used during class time unless authorized as part of the classroom activity and used appropriately. Inappropriate use of technology will result in confiscation of the device and/or loss of computer privileges. If an emergency arises, please seek the instructor’s permission in advance.
  3. No pants are to be worn below the waist line. A belt will be provided to you should you choose not to comply.

Materials needed for this class:

  1. Notebook
  2. Calculator (scientific)
  3. Binder
  4. Pen/Pencil
  5. Enthusiasm and a positive attitude

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Mid-Term Exam Results 2010-2011

Mid-Term results have been compiled and published.  In general, scores are right in line with performance within the last few years.  The exam itself was styled after the Regents Exam which is given at the end of the school year, and included topics from all aspects of Newtonian Mechanics (roughly half of the Regents Exam).  This included 46 multiple choice questions, and 25 open-ended, or “free response,” type questions.  Students were given 180 minutes to complete the exam, as well as a formula sheet (Regents Physics Reference Table), and a ruler.  Students were permitted the use of a scientific calculator.

Summary Data

Summary data from this year’s exam, along with the previous two years of data, are shown at right.  imageAverage score on the exam, with a fairly generous curve, was 76%, compared to 73% in 2010 and 74% in 2009.  Median score was 78%, two points higher than last year’s exam, and right in line with 2009 scores.  Percentage of students scoring above 85%, considered “Mastery Level” by Regents Physics standards, was 25%, slightly lower than in 2010 and 2009, but passing percentage was 83%, several points higher than in past years.  Even more promising is a glance at a histogram imagebreaking down student scores further.  This data indicates that we have many students in the 80-85% range.  Past history has shown me that it is quite possible for students to improve their scores from 10-15% points between now and the actual Regents Exam in June with focused effort, study, and motivation.  This indicates the potential for outstanding standardized exam performance in June if students buckle down and focus their efforts.  Unfortunately, the Physics Regents Exam is usually one of the last tests offered (sometimes even after official graduation), so obtaining and maintaining student focus at this point of the year can be a challenge.

Cluster Data

Breaking down exam performance by topic, we observe students demonstrating a very strong understanding of Newton’s Laws of Motion, Hooke’s Law (springs), and Work and Energy.  These have been focus areas during the year, although there is room for further improvement in understanding Newton’s 2nd Law as well as momentum and impulse.

Cluster data indicates weaknesses in Newton’s Law of Universal Gravitation, although a deeper look at the questions and errors themselves indicates that most of the confusion here is a result of mathematical errors rather than conceptual misunderstandings.  This is being re-emphasized as we work through Coulomb’s Law / Electrical Force problems, which utilize almost the exact same mathematical model.  Other areas for improvement include 2-D Kinematics (projectile motion), a perennial challenge, and utilizing and understanding the metric system, a topic that has been emphasized and will continue to be reviewed throughout the year.  Performance on momentum problems was, unsurprisingly, problematic.  This relates directly to a “class as a whole” issue with independent practice and motivation throughout that unit, and will be our top priority for review in mid-June.

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Conclusions

Student performance is in line with, if not slightly above, expectations for this point in the year.  With a focused effort, students can fairly routinely increase their scores 10 to 15 percentage points by June.  For struggling students, a variety of remediation protocols are being put in place, including the entire course content and sample quizzes available on the web, tailored directly to this course’s requirements (APlusPhysics.com), video lectures on topics corresponding directly to our textbook (Hippocampus), and even review sessions which can be viewed from any computer supporting iTunes (Windows, Mac, Linux, etc.) as well as iPods, iPhones, Blackberries, Android devices, etc.  All of these resources are available both in the classroom as well as the school library for those who don’t have ready access to these resources outside of school.

Data has also been broken down to the same level for individual students, and will be utilized to develop both entire-class and individual review plans to allow students to focus on areas that will provide the biggest “bang for the buck” in their studies.