Math 212: Elementary Math II- Homework

Math 212: Elementary Math II - Spring 2011

Instructor: Jodi Fasteen

Office: 328 Neuberger Hall. This is located off the 3rd floor hallway by the main math dept office.
Office hours: By Appointment (Generally available T/R noon to 2pm)
e-mail: "jfasteen" at "pdx.edu"
website: http://www.mth.pdx.edu/~jfasteen

TB= Textbook, WB=Workbook (spiral bound)

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.

* Note: All plans are subject to tweaking and other changes.

HW # Problems Due Due Date

Weeks 1-4: Fractions
HW #1 Explain how to add 3/4 + 2/3 and how to add 2/5 + 7/10. Explain the how and why of each step that you do, as if to a 3rd grader.
Complete before class on Thursday.
Thurs, March 31st

HW 2 Click here for HW 2
First reading assignment: Connecting Representations
Tues, Apr 5th

HW 3 Click here for HW 3

Thurs, Apr 7th

HW 4 Creating, Naming, and Justifying Fractions
Click here for HW 4
If you missed class on Thursday April 7th, you missed a quiz. You can make up the quiz on Tuesday at 1pm at my office. Send me an email if you plan to do this so I can make extra copies.
Tues, Apr 12th
HW 5 Click here for HW 5

Thurs, April 14th
HW 6 Click here for HW 6
Write up your solutions thoroughly, with images and explanations. Two of the 3 problems will be graded. Indicate which 2 you would like to have graded on your homework by circling the problem numbers.
Tues, Apr 19th
HW 6 New directions for HW 6: Follow the new directions. This time, you are responsible for all 3 questions. Write up beautiful solutions, with lots of pictures and words. After class today, you should be able to create more polished solutions.

Thurs, Apr 21th
HW 7
Fractions and Problem Solving Article (Article about division of fractions
Click here for HW 7
Caution: You should be able to do the measurement tasks from HW 7. If you are having trouble with the sharing tasks, bring your questions to class on Tuesday, or ask me your questions via email.
Tues, April 26th

Absent Teacher I see there was a slight coup in my absence. :) Thank you for working together and trying the problems and coming together as a class to decide what you needed. We will definitely make time on Thursday to discuss the questions.
I very much respect that you were able to come together as a class and request more time. In the event of future coups, if possible, please choose a delegate to email me in case I need to create a new lesson to meet your needs.
I'm excited to be well enough to be back for the next class.

Update HW 7 has a new due date of Tues, May 3rd. In addition, the following are suggested problems from the textbook for you to work on. This will not be submitted, but you can check the odd ones in the back of the book.
TB 5.3: Exercises and Problems (p329) 5-6, 14-18, 35-40, 52-54, Writing and Discussion (p333) 2, 4.
The midterm will be Tues, May 10th
Tues, May 3rd

Fraction division article... good review
Only homework for Tuesday is to STUDY FOR THE EXAM
Volunteer to learn! Would you like to help with a research project where you can learn something new and exciting about math? Krista Heim (a fellow 211-213 teacher) is looking for a volunteer to learn about patterns. It will be 3 half hour meetings, on campus, in the next two weeks. Send her an email if you are interested. kheim@pdx.edu. No prior math knowledge is necessary, just an interest in learning!
HW 8 Click here for HW 8 Thurs, May 12th

HW 9
Create a conjecture about which fractions become terminating decimals, which become repeating decimals, and which become non-terminating, non-repeating decimals. Limit your focus to rational numbers (fractions with whole numbers as numerators and denominators). You will be asked to share your conjectures with the class, so write them as clearly as possible. (Put this as the first problem on your HW)
TB 6.1 (p362) Writing and Discussion (p362) #1, 2, 5
TB 6.2 (p382): 9 -12, 19-20, 27-30, Writing and Disc (p387) #1, #3
Tues, May 17th

HW 10

TB 6.1: #39, 49-50
TB 6.2: 13-16
Find an example of statistics from current events. You can use newspaper or online articles. Bring your example to class. This could be a poll, graph, etc. We're looking for stats from the real world.
Thurs, May 19th

HW 11 HW 11: Please type your responses to the first 2 items:
1. Read TB 7.1: Find three topics in this section that you think should be included in Grades 3-6 education. For each topic, type a one sentence explanation of what the topic is and then a reason why it should be taught to kids at this age level. (For example, regression equations from page 450… probably not appropriate for elementary school)
2. Read TB 7.2: Find three topics in this section that you think should be included in Grades 3-6 education. For each topic, type a one sentence explanation of what the topic is and then a reason why it should be taught to kids at this age level.
3. TB 7.1: Data & Graphs (p454): 3-7, 13-15, 21, 23-24
4. Migraines Boxplot Worksheet
Tues, May 24th

Please bring a few quarters to class on Tuesday. We'll be flipping coins for some of our experiments and your teacher can only afford pennies.

HW 12 HW for Thursday:
Read p 504-505 of the textbook to see suggestions for how to design an experiment to find out how many people must be selected (on average) to find two with the same birth month. Then complete the following questions.
1. In addition to picking numbers from a box/hat and using random number tables, there are other ways to create data. Below are two student suggestions. Evaluate whether each will work and explain why.
a) Alice suggests making a spinner with twelve even pie wedges and the numbers of the months 1-12 on the wedges. Then you would spin the spinner, keeping track of what numbers are spun until you have two matching numbers (months). Then you would record how many spins it took, then redo this a bunch of times and find the average.
b) Bob suggests rolling two dice and keeping track of how many rolls until a number appears twice. You would record how many rolls, then redo this a bunch of times and find the average.

2. Try the experiment using one of the 4 methods described in the book or in problem 1. Record your data and do 20 trials. One trial would be picking numbers from a hat enough times that you have drawn the same one twice (not just picking one number from the hat.)
3. Instead of looking for when two people have the same birth month, suppose we wanted to know when two people had the same day of the month. For example, Feb 26th and May 26th are matching days.
a) How would you conduct a simulation for this situation?
b) What would one trial look like for your simulation?

Thurs, May 26
HW 13 Click here for HW 13

Tues May 31
HW 14 Click here for HW 14

Thurs June 2nd
Final Exam Mon., June 6: 1015-1205

Schedule - Drafty Version

Weeks 1-4: Fractions : 5.2 - 5.3, +, -, *, /

Weeks 4-6: Fractions vs Decimals: How are they related? Ch 6

Midterm after Fractions & Decimals

Weeks 6-8: Statistics

Weeks 8-10: Probability

HW #	Problems Due	Due Date
	Weeks 1-4: Fractions
HW #1	Explain how to add 3/4 + 2/3 and how to add 2/5 + 7/10. Explain the how and why of each step that you do, as if to a 3rd grader. Complete before class on Thursday.	Thurs, March 31st
HW 2	Click here for HW 2 First reading assignment: Connecting Representations	Tues, Apr 5th
HW 3	Click here for HW 3	Thurs, Apr 7th
HW 4	Creating, Naming, and Justifying Fractions Click here for HW 4 If you missed class on Thursday April 7th, you missed a quiz. You can make up the quiz on Tuesday at 1pm at my office. Send me an email if you plan to do this so I can make extra copies.	Tues, Apr 12th
HW 5	Click here for HW 5	Thurs, April 14th
HW 6	Click here for HW 6 Write up your solutions thoroughly, with images and explanations. Two of the 3 problems will be graded. Indicate which 2 you would like to have graded on your homework by circling the problem numbers.	Tues, Apr 19th
HW 6	New directions for HW 6: Follow the new directions. This time, you are responsible for all 3 questions. Write up beautiful solutions, with lots of pictures and words. After class today, you should be able to create more polished solutions.	Thurs, Apr 21th
HW 7	Fractions and Problem Solving Article (Article about division of fractions Click here for HW 7 Caution: You should be able to do the measurement tasks from HW 7. If you are having trouble with the sharing tasks, bring your questions to class on Tuesday, or ask me your questions via email.	Tues, April 26th
Absent Teacher	I see there was a slight coup in my absence. :) Thank you for working together and trying the problems and coming together as a class to decide what you needed. We will definitely make time on Thursday to discuss the questions. I very much respect that you were able to come together as a class and request more time. In the event of future coups, if possible, please choose a delegate to email me in case I need to create a new lesson to meet your needs. I'm excited to be well enough to be back for the next class.
Update	HW 7 has a new due date of Tues, May 3rd. In addition, the following are suggested problems from the textbook for you to work on. This will not be submitted, but you can check the odd ones in the back of the book. TB 5.3: Exercises and Problems (p329) 5-6, 14-18, 35-40, 52-54, Writing and Discussion (p333) 2, 4. The midterm will be Tues, May 10th	Tues, May 3rd
	Fraction division article... good review Only homework for Tuesday is to STUDY FOR THE EXAM
Volunteer to learn!	Would you like to help with a research project where you can learn something new and exciting about math? Krista Heim (a fellow 211-213 teacher) is looking for a volunteer to learn about patterns. It will be 3 half hour meetings, on campus, in the next two weeks. Send her an email if you are interested. kheim@pdx.edu. No prior math knowledge is necessary, just an interest in learning!
HW 8	Click here for HW 8	Thurs, May 12th
HW 9	Create a conjecture about which fractions become terminating decimals, which become repeating decimals, and which become non-terminating, non-repeating decimals. Limit your focus to rational numbers (fractions with whole numbers as numerators and denominators). You will be asked to share your conjectures with the class, so write them as clearly as possible. (Put this as the first problem on your HW) TB 6.1 (p362) Writing and Discussion (p362) #1, 2, 5 TB 6.2 (p382): 9 -12, 19-20, 27-30, Writing and Disc (p387) #1, #3	Tues, May 17th
HW 10	TB 6.1: #39, 49-50 TB 6.2: 13-16 Find an example of statistics from current events. You can use newspaper or online articles. Bring your example to class. This could be a poll, graph, etc. We're looking for stats from the real world.	Thurs, May 19th
HW 11	HW 11: Please type your responses to the first 2 items: 1. Read TB 7.1: Find three topics in this section that you think should be included in Grades 3-6 education. For each topic, type a one sentence explanation of what the topic is and then a reason why it should be taught to kids at this age level. (For example, regression equations from page 450… probably not appropriate for elementary school) 2. Read TB 7.2: Find three topics in this section that you think should be included in Grades 3-6 education. For each topic, type a one sentence explanation of what the topic is and then a reason why it should be taught to kids at this age level. 3. TB 7.1: Data & Graphs (p454): 3-7, 13-15, 21, 23-24 4. Migraines Boxplot Worksheet	Tues, May 24th
	Please bring a few quarters to class on Tuesday. We'll be flipping coins for some of our experiments and your teacher can only afford pennies.
HW 12	HW for Thursday: Read p 504-505 of the textbook to see suggestions for how to design an experiment to find out how many people must be selected (on average) to find two with the same birth month. Then complete the following questions. 1. In addition to picking numbers from a box/hat and using random number tables, there are other ways to create data. Below are two student suggestions. Evaluate whether each will work and explain why. a) Alice suggests making a spinner with twelve even pie wedges and the numbers of the months 1-12 on the wedges. Then you would spin the spinner, keeping track of what numbers are spun until you have two matching numbers (months). Then you would record how many spins it took, then redo this a bunch of times and find the average. b) Bob suggests rolling two dice and keeping track of how many rolls until a number appears twice. You would record how many rolls, then redo this a bunch of times and find the average. 2. Try the experiment using one of the 4 methods described in the book or in problem 1. Record your data and do 20 trials. One trial would be picking numbers from a hat enough times that you have drawn the same one twice (not just picking one number from the hat.) 3. Instead of looking for when two people have the same birth month, suppose we wanted to know when two people had the same day of the month. For example, Feb 26th and May 26th are matching days. a) How would you conduct a simulation for this situation? b) What would one trial look like for your simulation?	Thurs, May 26
HW 13	Click here for HW 13	Tues May 31
HW 14	Click here for HW 14	Thurs June 2nd
Final Exam	Mon., June 6: 1015-1205