Year 2 Lesson Plan 21 - Math Olympiad
Review Quiz, Statistics
(30 min)MATH OLYMPIAD REVIEW QUIZ
Lesson 21 departs from our usual format. The main weekly session is a
quiz over concepts we have studied so as to give you guidance on
what to stress in the remaining 3 or 4 lessons. There are 22
problems which are representative of the kinds of problems
students will find at Math Olympiad. Students are to work
independently and without help. The quiz will take about 30
minutes, give or take 10 minutes. Use the remaining time to review
answers and approaches after you collect all the papers. We are
interested in trends of problems that many of the
kids missed. You might make a histogram or a tally by problem of
how many students missed each one so as to know what to stress.
The results of this quiz will help you decide how to form your kids into
teams. Try to include one strong kid on every team to prevent forming teams that will compete badly.
If teachers or parents ask your opinion, this quiz will also serve you in
advising them in properly placing kids in 7th grade math. Since it has a
range of problems across all the essential learning areas, it is one
indicator of which kids could rise to the challenge of algebra, and later
on that of geometry.
If you have just finished a local competition, you may use the rest of
the class period to review the results of that. Be positive--let the kids
know where they did well and compare their progress against themselves
earlier in the year.
(30 min) STATISTICS
The second practice this week involves a brief review of statistics and a
competition on Functions and Relationships. The statistics review
homework is begun as an in-class exercise.
In dealing with a group of numbers, there are particular numbers that we
are interested in to give meaning to them as a group. Megan got these
scores on her quizzes: 5, 6, 8, 7, 9, 9, 10. What number best
predicts how
she will do on her next quiz?
Minimum Smallest number 5
Maximum Largest number 10
Range Maximum minus minimum 5
Median Middle number (crossing
out largest and smallest) 8
Mode Most frequent number 9
Mean Average (sum/how many) 7.71
Which one do you like best? The answer depends on what you really want to
know. If you want to predict the lowest her grade might be, you would
choose the minimum. If the grade cannot be fractions or decimals, you
would have to choose the median or the mode, or round the average. You
might even want to give the more recent tests a special weighting if you
thought she was learning more in recent tests.