Math 213: Elementary Math III- Homework

Math 213: Elementary Math III - Fall 2009

Instructor: Jodi Fasteen

Office: 328 Neuberger Hall. This is located off the 3rd floor hallway by the main math dept office.
Office hours: Monday, Wednesday, Friday, 10am to 11am. Tuesday, 1-2pm. Also available by appointment.
e-mail: "jfasteen" at "pdx.edu"
website: http://www.mth.pdx.edu/~jfasteen

TB= Textbook (hardcover), WB=Workbook (spiral bound activity book)

Homework:

You should clearly show the work necessary to complete each problem.
Well labeled solutions make it easier to follow work, and to make any necessary repairs.

HW #	Problems Due	Due Date
	Weeks 1-4: Geometry, Ch 9
HW #1	1. Read thru Section 9.1 (p563-578), looking for vocabulary words. Write down definitions to any of the words you find on your Geometry Vocab sheet. (Many of the words won't appear until later sections, so you can leave them for now). Add another page to your geometry vocab sheet, including any vocab words you find interesting or new, along with their definitions. You don't have to include every term in the chapter, but find ones that are new to you or especially important, or that you would not have been able to define without looking up. (This will not be turned in. Keep as a study tool.) 2. WB: 9.1, 2-8. (WB will be turned in for credit)* *You may rip out pages from your WB, or make photocopies, or write solutions on separate paper, being careful to label the section and problems. You may not turn in the whole book.	Due Tues, Oct 6th
	For those who missed class on Tuesday , we worked on a Polygons Worksheet If you were absent, please work on this before class on Thursday. Wherever you see "sidewalk chalk" replace with "markers and big paper", since the weather is a bit cool for outdoor math. On Thursday we will discuss the results.
HW 2	TB 9.1: 4, 10, 11-20, 24-26, Writing and Discussion #2 TB 9.1: 22, 23, 28 (these problems create a separate nifty big problem, involving “if I have n lines, how many intersections might I have?” That is why they are listed separately from the rest of 9.1) Continue working on "sum of angles" for polygons, both interior and exterior angles. At this point, everyone should know what the conjectures are and should be on the path to proving them for generic n-sided shapes. Bring your questions on Tuesday.	Tues, Oct 13th
HW 3	TB 9.2: (p595) 2-7, 10, 12, 14, 15, 22, 23, 28-30 (explain your reasoning for 28-30) WB: 9.2: 1-5 (p229-236) Review the proof for the sum of the interior angles of a triangle. Check if your work from class matches your notes about the proof.	Tues, Oct 20th
HW 4	If possible, this homework should be completed with your partner from class. You may need to use some out of class time to finish the assignment. Create step by step instructions explaining how to make an Escher-style tessellation using the shape (rectangle, parallelogram, rhombus, hexagon, or triangle) you and your partner were assigned. Include pictures and be specific about which sides go where. Use labels. Include an example picture. Choose one of the following options: Option A: Using a different shape from the list above, create an Escher-style tessellation. (If you were in the parallelogram or rhombus group, try a hexagon or triangle. If you were in the hexagon or triangle group, try a parallelogram or rhombus) Option B: Using the same shape as (1) explain a different way to make an Escher-style tessellation. By different, I mean the sides should be attached in a different manner than in (1). If you were absent on Tuesday and/or would like to learn more about Escher Tessellations, see textbook section 11.2 **There was a quiz on Tuesday. If you were absent, please stop by before class Thursday, or email me about taking the quiz later.	Thursday, Oct 22nd
HW 5:	TB 9.4 : 5, 6, 11, 13-18, 24, 25 WB 9.4 (p248) #1, #2 For bonus, try #6 and attach the cut-out figures you’ve created.	Tuesday, Oct 27th
If Absent	If you are absent on Tuesday due to the plague, here is our in class project of the day: Often 3-D shapes can be built by folding up a 2-D pattern, called a “net.” In your groups, use the graph paper to build the following shapes. If possible, try to build a nets for some of the shapes, rather than always using all separate pieces, taped together. Once you’ve built a shape, jott down brief directions and pointers on how to make the shape. If you created a net, include a sketch or trace of the net you created. Shapes: Cube, Triangular Prism (right triangle base with legs of length 3 and 4), Hexagonal Prism (regular hexagon base), Square pyramid, Parallelepiped, Cylinder, Sphere If absent, complete and submit this upon your return. If present, you're already okay.
HW 6	Homework 6: Read section 9.3 and learn how shapes are named. TB 9.3: (p615) 2-5, 8-11, 24, 25, 26, 34 (justify your reasoning for #34) WB 9.3: #4 “Net Patterns for Cubes” (handed out in class)	Tuesday Nov 3rd (midterm day)
	Midterm will be Tuesday Nov 3rd
Geoboards Project	Next two pages of the area geoboards project are available outside my office door if you missed part of class. You should find the area and perimeter for "page 2" and just area of "page 3". Bring these completed on Thursday. Focus on what new strategies you need as the problems get more interesting.	Thurs, Nov 5th
If absent	If you missed class on Thursday, we started an area lesson writing project. Geoboards Lesson Writing If you missed class, do the project on your own and bring completed on Tuesday so that you can share it with the class.
HW 7	TB 10.2: 13-19, 21. Carefully show your work for both area and perimeter for each problem. You are encouraged to imagine that complicated shapes are built from simpler ones, like triangles and rectangles. (There are only a few problems, show take the time to show important steps.)	Tues, Nov 10th
If Absent on Tues, Nov 10th	If absent Complete these tasks before Thursday.s class and bring pyramids to class on Thursday.
HW 8	Reflection and Textbook HW You should have received copies of all 7 geoboard area lesson plans on Tuesday. Read through all of them, taking notice of how they are similar and how they differ. Your assignment is to type a 1 page reflection on what you notice about the lessons. (1 page total, not one page each, double space or 1.5 space or single space, all okay. Try to stick to one page.) A reflection can be on whatever was most important to you in the activitiy. For example: What do the lessons have in common? How are they different? What did you notice or learn through this actitity? Will any of this affect how you plan to teach? etc. Reflections will be due on Tuesday, Nov 17th and must be typed and proofread. TB 10.3: 2, 5, 7b, 8a, 9 (look up book formulas), 10, 11a, 12a (for 7-12, find volume AND surface area), 15, 16, 29, 32	Tues, Nov 17th
HW 9	Complete Robot area/perimeter and Pyramid volume/surface area problems for Thursday's class. Deadline extended to Tuesday	Thurs, Nov 19th
HW 10	Follow this link for the construction homework. Each set of directions must be accompanied by an accurate picture.
	Projects for next class Triangle Proof Sum of interior angles of a polygon sum of exterior angles of a polygon regular tessellations proof pythagorean proof parallelograms have area base * height, just like a rectangle area of a triangle is ½ base*height, for right and non-right triangles. Outline the big idea for each proof in 4 steps or less. Each group is responsible for presenting one topic. All class members are responsible for knowing all topics.

Schedule (tentative)

	Tuesday	Thursday
Week 1	Introductions Checkerboard Problem	Mathematical Systems Congruence & Geoboards
Week 2	Angles & Polygons (9.1)	Interior and Exterior Angles
Week 3	Polygons and proofs (continued)	Tessellations (9.2)
Week 4	Semiregular Tessellations (9.2) Escher Tessellations	Finish Tessellations Symmetry (9.4)
Week 5	The Third Dimension & Polyhedra (9.3)	Begin Ch 10
Week 6	Midterm Begin Ch 10	Thursday
Week 7	Tuesday	Thursday
Week 8	Tuesday	Thursday
Week 9	Tuesday	Thanksgiving: No school
Week 10	Tuesday	Thursday
	Final Exam: Monday Dec 7th, 10:15-12:05

Geoboard Applet