Weekly Questions
Your weekly questions will be posted here as they are presented in
class.
January 26: We see numbers in news all the time. These
numbers convey meaning and context. Find an example of numbers in
a report of some kind and discuss the process of interpreting those
numbers. This should parallel our interpretative discussions
regarding the causes for the numbers in activity 7.2.
February 2: Discuss similarities and differences of the three
different averages: mean, median and mode. Include examples
where each would be considered "the average".
February 9: Explain the difference between experiemental and
theoretical probability. Include examples.
February 16: In our beginning work with geometry you probably
have noticed that one major challenge in discussing geometry is the
need of a large vocabulary. Write definitions in your own words
for any important terms that we have used so far in geometry.
(This question, unlike the others, will continue to develop as the
semester continues. Start based on what we have done in the first
week, then add to it as the semester unfolds. When you hand it in
the first time, it should include all the important terms up to that
point, and when it becomes part of your final project, it should be a
comprehensive vocabulary guide for all of geometry. This will be
a major component of your final project.)
February 23: Describe a systematic procedure for seeking
different shapes and geometric objects found inside a
figure. Discuss how this procedure can be applied to the
world in which we live. Comment on how personal variation still
plays a role.
March 2: Discuss sums of angles for polygons. Include
justification not merely results.
March 9: What sets of three angle/side measurements of a triangle
ensure congruence? Which sets of three measurements do not ensure congruence?
Show why your
statements are true. What can you say about information necessary
to
determine congruent quadrilaterals?
March 23: Give life experience examples that are reminiscent of
the following transformations: translations, rotations,
and reflections. Explain how each
experience has the properties of the given transformation.
March 30: Discuss the possible effects of two succesive
reflections. Include parallel lines, perpendicular lines, and
other intersecting lines.
April 6: Discuss what you have learned about tessellations.
April 13: No question this week. Exam today.
April 20: Explain and justify area formulas for parallelograms,
triangles, trapezoids, and circles.