Math 212: Elementary Math II - Summer 2007

Instructor: Jodi Fasteen

TB = Textbook

WB = Workbook (spiral bound)

The parts of this table that are pink are still tentative.

Monday - Week 1 Tuesday - Week 1 Wednesday - Week 1Thursday - Week 1
Coins, Dice, some bell curve ideas

Pigs - single and paired probabilities

Fundamental Counting Principle

Homework:

  • TB: 8.1: 1-6, 10, 12, 14
  • TB: 8.1: 34-36 Describe the experiment/ simulation briefly for each, then carry out the simulation and summarize the data
  • TB: 8.1: Writing and Discussion #2 (I will type this out at the bottom of this page)
  • If your handwriting is not impeccable, please type your responses to the wordier problems, like 34-36 and W&D #2.
Approaching probability thru cryptography

Code wheels & Bar graphs

Carnival games (Bring WB)

Passwords

Homework:

  • Break the code worksheet (handed out in class)
  • WB: 8.1: 2,3, and Follow-up question: Create an alternate version of the penny game with a different grid. Try using different shapes (circles, triangles, etc). Create a carefully drawn grid, like the ones in the WB. On a separate paper, explain what the probability of winning would be, and how to find that probability using area.
  • (skip) Worksheet - Counting
Discuss codes and carnival games (Bring WB)

Start Venn Diagrams

Red Bears

Introduce Set notation

Homework:

  • TB: 2.1 (p73) 15-16, 19-22, 31-34, 41-42 --- Note: Our book is using A' for "not A" , to denote the complement of A.
  • TB: 8.1 : 16-21 (write up Even #'s... do odds if you want practice)
  • Do as much of this assignment as you can in two hours. If you are not able to complete most of it in two hours, please let me know before class Thursday.
Zoo Problem

More 3 set examples and counting

Start conditional probability

Homework:

  • Worksheet: Story Problems on Probability
  • TB: 8.1 : 40, 41, 46, (skip 47 - its wrong)
  • FOR TUESDAY: Reading and writing assignment on Math Anxiety

    Read the article "Math Curse or Math Anxiety". Fill out the survey. Type a response to the article (< 1 page). This is open ended. It should demonstrate that you've read the article, but should be a reaction, not a summary. I want to know what you think, whether about your own experiences or what you anticipate in your future classrooms or what you see among your peers now. If you didn't get a copy of the article in class, there are some outside my office door.

Monday - Week 2 Tuesday - Week 2 Wednesday - Week 2Thursday - Week 2
Conditional Probability

Tree cutting, Fire Alarm, Cancer : False Postitive

Distributions & Shapes of graphs

Homework:

  • worksheet Do the best you can and bring questions on Tuesday.
Review and Practice Teaching

Each pair gets a different review problem, which they will help their classmates to approach and understand in multiple ways.

Homework:

  • Review for tomorrow's Midterm
Midterm 4-5:20 pm

Start geometric constructions

bisecting and doubling, perpendicular lines, equilateral triangles, squares, parallel lines

Homework: (not due, but hang on to your instructions for later)

Create a set of careful and clear rules for creating the following figures using only a straightedge and compass. No "eyeballing" or guestimating. Follow the instructions given in class.

Shapes:

  1. Perpendicular lines
  2. A line segment and line segments half as long and twice as long.
  3. Equilateral Triangle
  4. Square
  5. Two parallel lines. (Start with a line and a random point K off the line. Show how to make a line parallel to the first line, through K).
Mathematical Systems

Constructions - 30, 60, 90 degrees and bisections

Outdoor constructions with sidewalk chalk

Homework:

  • TB 9.1: 4, 10, 11 (and explain what a chord and tangent line are), 12, 14-20, 24-26,
  • TB 9.1: Writing and Discussion #2
  • Reading and Writing Assignment about Theorems: Research the "Four Color Theorem." Then, in K-6 appropriate language, explain what the Four Color Theorem says and how you might use it in class. Site your sources. (Less than 1 page, please, typed if possible). Then do this again for the "Pythagorean Theorem." In both cases, pictures are a nice addition.
Monday - Week 3 Tuesday - Week 3 Wednesday - Week 3Thursday - Week 3
Congruence with geoboards

Vocab for angles

Angle properties

Kinesthetic Angles Project

Homework:

  • WB 9.1 : 2-8 (Geoboards)
  • Read the kinesthetic angles article completely. Write down 2 or 3 questions you have about the article or parts you found particularly interesting or confusing.
  • Information about test corrections
Discuss Kinesthetic Angles article and try experiment.

Sum of the degrees of a ...

Drawing regular n-gons

Tiling

Homework:

  • TB 9.2: 4-7, 10, 12, 28-30

  • WB 9.2: 1, 2, 3, 4, 5

  • Create a theorem about which regular polygons tile and prove it.
Finish Tesselations

Symmetry

3-D Polyhedra

Homework:

  • TB 9.4: (p634) (for this section, consider tracing the images from your book onto your HW) 6, 11, 14, 16, 18, 24, 37

  • TB 9.4 Writing and Discussion #1

  • WB 9.3: #3 a, b, c

  • TB 9.3: (p615) 2, 4, 6b, 7b, 8, 10, 24, 26, 30, 37 (for 37, add part c: sketch all 12 noncongruent pentaminoes, for Bonus )

  • A quiz seems likely for tomorrow... review symmetry, drawing regular polygons, and the proofs for why a triangle has 180 degrees.
Measurement

Distance

Pythagorean Theorem and proofs

Perimeter

Homework:

  • Geoboards Worksheet - Focus on progression of problems and the introduction of new ideas.
  • Here's the worksheet with the geoboard related questions. The pictures are missing, so you'll want to sketch in the appropriate graphs yourself.
Monday - Week 4 Tuesday - Week 4 Wednesday - Week 4Thursday - Week 4
Discuss Geoboards Assignment

Review Pythagorean theorem and proof

Area and Surface area

Homework:

  • TB 10.2: 6, 8, 14, 15, 16, 19, 21, 32, 37
  • Begin reviewing for the final. Write 3 problems that you think would be good test questions for the final, and then write nice, clear solutions for each. (Solutions should include full explanations, like the Tattling and Robot and Zoo problems). These can be in geometry or prob & stats. For Bonus opportunity, look below
Volume Lab

Homework:

  • TB 10.3: 7, 8, 9b, 10, 11, 20
  • Some of the above will require formulas (especially circles and spheres). If you decide to use formulas, clearly label what all the letters mean, and whether you are finding volume or surface area. Include labels for all HW problems.
  • Reading on tessellations. Answer the question: What do you think of this activity for grades 3-5? Label this as problem 21 on your HW.
Review

Students teach review topics or new topics.

Homework:

  • Study for Final
Final Exam

Bonus Opportunity

It is possible to earn bonus points by making your 3 questions really awesome and in depth (perhaps multi-part) and typed. In addition, the problems have to have really well written and clear solutions (not necessarily typed), with diagrams or visual models and/or multiple solution methods. If your question is awesome enough, I might make photocopies for the class, as help reviewing for the final exam. If you would like your questions to be considered for bonus, and you happen to arrive at campus before class, please drop the questions by my office before class so I can make copies. (This is not required)


Writing & Discussion