Math 300: Mathematics
Concepts for Teachers, Spring 2016
Reading and Homework
Assignments
Week 6
HOMEWORK #7: Due
Monday, March 14th (Pi Day!—3/14/16)
Reading Assignment:
·
Read sections 3.3
carefully as we discussed in class, and write notes of all the relevant
information (no need to turn your notes in).
The reading questions below are meant to help you (remember that answers
to the reading questions are part of your homework).
Reading Questions:
1. Learn or remind yourself of the
following (no need to write them down on the homework, but learn them well):
parallelogram, rectangle, rhombus, square, trapezoid, kite, triangle, square, rectangle, quadrilateral, pentagon,
hexagon, heptagon,
octagon, nonagon, decagon, dodecagon, n-gon, picture
proof, equiangular, regular, vertex, vertices, parallel lines, transversal,
corresponding angles, interior angles along a transversal, alternate interior
angles, alternate exterior angles, converse, auxiliary lines, polygon, closed
polygonal path, vertex, vertices, n-sided polygon, n-gon,
polygonal region, convex, concave, equilateral polygon, equiangular polygon,
regular polygon, inductive reasoning, deductive reasoning. Find examples and non-examples to help you.
2. Prove that the sum of the measures
of the interior angles of a triangle is 180 degrees.
3. What is the difference between
the following terms: polygonal region, polygon.
4. Prove that the sum of the
measures of the interior angles of a convex n-gon is
(n-2)180 degrees using a generalized figure similar to the one shown at the top
of p.70.
5. What is the measure of each angle
of a regular n-gon?
Explain.
6. What’s the sum of the measures of
the exterior angles of a polygon (come up with an expression). Explain.
7. Draw a Venn diagram to categorize
polygons, polygonal paths, and closed polygonal paths. Draw a shape that fits in each region.
8. Draw a Venn diagram to categorize
polygons, hexagons, pentagons, convex shapes, equilateral polygons, equiangular
polygons.
9.
Write
questions and comments you have on the readings for today.
Homework Assignment:
When answering questions from the elementary school
books, complete at least several of the parts for each number, until you feel
comfortable with them. Be sure to
complete some of the first few exercises, some in the middle, and some at the
end.
· Homework Set #12: 1, 5, 6, 8, 9, 10
(Optional: 2, 3, 4, 7, 11—if you need or would like the practice.)
The next pen pal letter and video will be due Tuesday, March 22nd before
midnight. You may want to start working on them.
o Create a video of the following:
Prove that
the sum of the measures of the interior angles of a convex n-gon is (n-2)180 degrees. Give a careful, precise drawing to
illustrate your proof.
1.
Assume that
the sum of the measures of the interior angles of a triangle is 180 degrees.
2.
Start by
showing how you might figure it out for a convex heptagon, and then show it for
a convex n-gon.
3.
Be creative
to help the viewer understand—you may want to use manipulatives, for example.
4.
Make sure
every person in your team has an opportunity to speak.
5. Upload your video by midnight, Tuesday,
March 22nd.
o Give feedback--suggestions and
insights on the video post of the other three groups by Wednesday, March 23rd,
midnight. Use the sandwich method
described in class. Remember to
·
highlight
the strengths,
·
provide
constructive suggestions, and
·
end with a positive comment.
Each video
should be approximately 3-5 minutes in length (no longer). Your video entries
will be open access only to the people in the class, meaning that your
classmates will be able to view your entries and you will be able to view your
classmates’ entries and respond to them.
For the pen-pal letter:
· Follow the
instructions in the pen pal information handout and also include the following:
o
Ask them to
define the word polygon.
Back
to Reading and Homework Assignments Back to Math 300
Comments: pmyers@sandiego.edu