Math 212: Elementary Math II - Winter 2007

Instructor: Jodi Fasteen

Homework and Class Schedule:

Schedule Homework Due Date
Mon Week 1: Start 9.1, Vocab worksheet, Connecting Points Wkst

Wed Week 1: 9.1-9.2: Regions Wkst, Polygons and Angles Wkst

 TB: 9.1: 2 -10 all (Need help with verticle angles ?)

Exploring Polygons and Angles Wkst -Web version is missing the pictures, so use a ruler to sketch your own shapes. (complete as far as you are able before Monday's class )

Partitioning the plane worksheet - Submit a nice, clean copy with easy to follow work.

Read Mathematics Teacher article: Teaching Sums of Angle Measures. (Read before Wed's class and come to class with 2 questions about the article and 2 ideas you found interesting. These should be written questions/ideas.)

The End

New Due date:

Wed, Jan 24th

Week 3

Mon Week 2 : MLK Day - no class

Wed Week 2: SNOW DAY - no class

Mon Week 3 : Degrees, angles

Wed Week 3 : Sums of degrees, proofs

WB 9.1: 2-8 p 221-225

TB 9.1: 11, 12, 14-20, 22, 24-26, 31, Writing and Discussion #2, 3

WB 9.2: 1-5 p 229-236

TB 9.2: 4-7, 10, 12, 22a,b, 23, 28-30

WB 9.4: 1,2 p 248-249

Study Guide on Shapes - See below

Bring your Eulerian conjecture for Monday. i.e. finish the table and conclusions on WB 9.3 #3 so that we can discuss it as a class. Workbook section 9.3 is not due with homework.

Mon Feb 5th

Week 5

Monday Week 4: 9.2

Wed Week 4: Polyhedra competition and symmetry

Monday Week 5: 10.1 and 10.2

Area Worksheet

Wed Week 5

TB 9.3: (p615) 2, 4, 6b, 7b, 8, 10, 23, 24, 26, 30, 37

TB 9.4: (p634) 4, 6, 11, 14, 28, 29, 37

TB 9.4 Writing and Discussion #1 - A student concludes that if a figure has two lines of symmetry, it also has rotation symmetry. How would you respond to this observation?

Geoboard area worksheet. (extra on bulletin board outside office)

Geometry Writing Assignment (see below)

TB 10.2 (p685) : oops... this is in the next HW set

No more will be added

Midterm 1: Monday Feb 12th - Covering Chapter 9 Material

Mon Feb 19th

Week 7

Monday Week 6

Midterm 1

Ch 10 - TB 10.2 (p685) : 2, 3, 6, 8, 15, 16, 17, 19, 26, 27, 32, 40, 44, 46

TB 10.3 (p714): 2, 4, 8, 10, 11, 12, 14, 16, 18, 22, 32, Writing and Discussion #1, 2, 3

As a part of your homework, due at your earliest convenience, please email me something you would like to learn more about.

ex)

  • Those formulas for 3-dim shapes
  • Pythagorean Theorem
  • Why do so many statistics look like bell curves?
  • What can I do with square roots, and how do they fit on the number line?
  • What's the history of __________?, etc.

Try to avoid vague statements like: "I'd like to learn about numbers. Or shapes."

Try to be specific. Think about what you'll be teaching and what you'd like to know more about. Any part of gradeschool/middle school or recreational mathematics is fair game.

GUEST LECTURERS INFORMATION -- If you miss class Monday Feb 26th, please check this link.

Monday, March 5th

Week 9

Midterm 2 Midterm 2 will be Wednesday, March 7th.
HW Short HW assignment, Due Wednesday, March 7th

  1. Explain two hands on activities your class could use to find the relationship between the volume of a prism and the corresponding pyramid, with the same base and height. (Also for the cylinder and corresponding cone with the same base and height). You answer should be typed and include the supplies that you would need, the instructions that you would give, and the intended outcome. This should be 1 to 2 pages.
  2. Probability: TB 8.1 (p531) : 1, 4, 6, 10, 12, 14, 40
  3. Venn Diagram Problem: (again with the red bears) I have 3000 plastic animals. Of those, 30% are bears. Of the bears, 25% are red. Of the nonbears, 40% are red. Create a venn diagram with a circle for "red" and a circle for "bear". In each region, label the number of plastic animals that would belong. Recall: There are 4 regions and each animal will have to belong to one. Then find the following probabilities, assuming you are picking a single animal at random.

    P(bear)

    P(red | bear)

    P(not red | bear)

    P(not bear)

    P(red | not a bear)

    P(not red | not a bear)

    		 P(red)

    P(bear | red)

    P(bear | not red)

    P(not bear | red)

    P(not bear | not red)

  4. Create a study guide for equations for volume (Ch 10). You can use this on your midterm.
Wed, March 7th, Week 9
For information on your final HW (via the guest lecturers) see below.

Day Topic and Presenters
Mon Mar 5th Fractions (+,-) -- Pam and Tamara

Fractions (multiply) -- Eric

Fractions (division) -- Bob

Jodi's Fraction Problems - Due on Wednesday March 14th

Algebra -- Maria ** Turn in Maria's worksheet by Monday March 12th

Wed Mar 7th Midterm 2

Measuring length and Volume --Erinn

Graphing -- Julie

Escher -- Rob and Sarah -- Bonus Points for bringing completed Escher Style pictures on Monday, March 12th

Mon Mar 12th Bell curves -- Tom

Geometry K-2 -- Jenny and Niki

Geometry K-2 -- Zach

History of Pi -- Craig

Wed Mar 14th History of Pythagorean Theorem -- Nik

Origami in Geometry -- Sarah and Elizabeth

Abacus - Alma and Jasmine

Square roots -- Sanya

Final Exam What to study: Contents from the first test, contents from the second test. And fractions.

Special Requests from the class:

  • Angles: big ideas, vocab, measuring, proving things
  • Drawing perfect regular polygons (multiple ways)
  • Tesselations (see WB)
  • Proving # of degrees in a triangle.
  • Proving # of degrees in a polygon with n sides.
  • Euler's Theorem
  • Parts of a mathematical system
  • Venn Diagrams
  • Probability
  • Fractions
  • Volume, area, and surface area
  • Drawing conclusions and building new theorems.
You may bring a formula sheet with volume and area formulas only. No notes about other topics. You may use a calculator. 		Monday, March 19th, 5:30 pm to 7:20pm

Study Guide on Shapes:

Create a study guide

that will help you to pick out the following

shapes when you see them, or help you to draw

the shapes when you see the names.

Feel free to draw by hand, cut-n-paste

(with a computer, or with a scissors and glue), or

whatever other means you have. Give verbal

descriptions if it will help you.

  • Trianglar Pyramid
  • Pentagonal Pyramid
  • Any Pyramid
  • Triangular Prism
  • Quadrilateral Prism
  • Any Prism
  • Right Cone
  • Oblique Cone
  • Right Cylinder
  • Oblique Cylinder
  • Tetrahedron
  • Cube
  • Octahedron
  • Dodecahedron
  • Icosahedron
Geometry Writing Assignment - Complete one of the following.
  1. Option 1: Find an article on geometry that applies to teaching. Write a 1/2 page summary and a 1/2 page opinion on how you could use the ideas of your article in your classroom. Single spaced. The article should be 3 to 6 pages and you should attach a copy of the article to your summary. (If you cannot find an article at least 3 pages long, pick 2 shorter articles.)
  2. Option 2: Write a worksheet with complete instructions for how to do the interior and exterior angle polygon experiment explained in Mathematics Teacher: "Teaching Sums of Angle Measures: A Kinesthetic Approach". Your instructions should be clear enough that a student or new teacher could understand both the goal and the process. Your lab should cover activites 1-3, but not the 5 pointed star.
  3. Option 3: Create a treasure hunt for your students using angles and measured distances. Create a student handout and an answer key in the form of a very accurate scale map with their intended path. The hunt should have at least 8 steps.