Math 211: Elementary Math I- Homework

Math 211: Elementary Math I - Fall 2010

Instructor: Jodi Fasteen

Office: 328 Neuberger Hall. This is located off the 3rd floor hallway by the main math dept office. (Enter door 334 and hang a left.)
Office hours: Monday, Wednesday, Friday, 10:10am to 11am. Thursday, 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

HW #1	HW 1: Due Next Class. Handshake Problem: Student Strategies. This is a worksheet handed out at the end of class on Day 1. I do not have a digital copy, so if you lose yours, look for extras outside my office. There was a placement quiz on Day 1. If you missed class, please arrange to make up the quiz prior to Thursday's class.	Thurs, Sept 30th
HW 2	HW 2: Read Relational Understanding article by Richard Skemp. Write a half page summary of the article (single spaced) and then list any questions you have about the article. Copy your summary and questions into the body of an email and send it to jfasteen@pdx.edu with the subject heading "Math 211 Skemp: Your First and Last name". To receive credit, please include your appropriate section "Math 211" and your first and last name. This assignment is due by noon on Monday, Oct 4th, so that I can read them before class on Tuesday. Bring your questions / comments / opinions for Tuesday and we will discuss the article in class.	Noon on Monday Oct 4th
HW 3	HW 3: Create a one or two page guide to your X-mania number system (you may use your group’s system, or another system of your choosing). Make it clear how your system relates to the manipulatives (a.k.a. “artifacts”). Include examples of the numbers 1 thru 25 in your new number system, along with numbers equivalent to 43 and 87 and 203 and 1928. (For this assignment, focus on how to record numbers in your new number system, rather than the operations.)	Thursday Oct 7th
HW 4	HW 4: 1) Create a method for adding together multidigit base 5 numbers. Show your method on the two examples 23_five + 14_five, 234_five + 312_five, then two more examples of your own choosing. Focus on visual models and recording how you performed the tasks. 2) WB: 3.1 (p57-59): 1-7 3) TB: Exercises and Problems 3.1: 1-17, 23, 28, 37 (for some of the numeration systems, you'll need to read section 3.1) Please assemble your HW in the order indicated above.	Tues, Oct 12th
	Nothing will be turned in on Thursday. Please finish WB 3.2 #1-4 before Thursday's class so that you will be prepared to continue onto the subtraction section in class.
HW 5	HW 5 WB 3.2: (p66-72) #1-9 (Note that #1 and #5 are games we played and nothing needs to be recorded for those) TB 3.1: Writing and Discussion p 141, #1 TB: Exercises and Problems 3.2 (p158): 4, 6, 8, 10, 12, 14, 16-22 , 28, 35, 36 Read p 145-148: "Number Properties." Create a study guide (about 1 page) which explains and gives examples of the properties: Closure, Identity, Associativity, and Commutativity. These properties are true for addition with whole numbers. Do you think they're true for subtraction, multiplication, and division of whole numbers? Justify your answers.	Tues, Oct 19th
Midterm	Midterm will be Tuesday, Week 5. October 26th. Topics will include addition, subtraction, and multiplication models. Questions will be given in base 5 as well as other bases, including base 10. Frequently questions come in the format "A student did the following... Is it mathematically sound? Does this method always work? How could you help the student to complete their method (or fix it)?" Additional topics will include Number Properties and the Skemp article we read for week 2. The midterm will take only a portion of class and the rest of class we will continue regular classroom activities.
HW 6	HW 6: TB: Exercises and Problems 3.3 (p180): 5, 7-10, 13, 15-22, 42, 43, 52, 53, 54 WB 3.3 p76: #1, 3, 5, 6, AND p82 Follow-up Question #1. Homework will be due on Tuesday, Oct 26th. No work will be due on Thursday Oct 21st.	Tues, Oct 26th
Takehome midterm	Take home portion of the midterm, as handed out in class . Due on Thursday, Oct 28th, start of class. You must work independently and should not discuss the take-home exam with anyone except your 211 teacher.	Thurs, Oct 28th
HW 7	HW 7: 1. WB 3.4: 1- 4 2. TB: Exercises and Problems 3.4: 1-7, 9, 13, 14a,b, 15, 17, 19, , 27-30 Read about the equal quotients and compatible numbers methods in the chapter. Write down a brief explanation (in complete sentences) about how they work, before starting 27-30. Read the article on Disequilibrium and Questioning, handed out in class on Thursday. Write a one paragraph response to this article. What did you think of the article, what was the point of it, etc? (Typing is not required unless you have poor handwriting.) Bring your thoughts to share on Tuesday. If you are absent Thursday, you may pick up the article outside my office door. (Only 3 pages long)	Tuesday, Nov 2nd
Tues, Nov 2nd	IF YOU MISSED CLASS ON TUESDAY, click here to find the project from class and to find the homework due on Thursday, Nov 4th. BRING YOUR WORKBOOK ON THURSDAY.	Thurs, Nov 4th
HW 8:	Short homework this time: WB 1.2 (p11): 1-6. Bring your awesome strategies to share on Tuesday. Also bring your questions.	Tues, Nov 9th
HW 9:	Story Problem Project If you received a "Resubmit" on your long division project, please turn in your new version on Tuesday, Nov 16th. Staple your original long division assignment to the back. Please keep the long division and story problem projects separate, as they will be turned in in separate piles. On the front of the Long Division Project, indicate clearly whether you are using the measurement model, sharing model, area model, or some other model. Then follow that model consistently through the problem. Be very aware of place value. When the 4 is in 4000, and you discuss dividing by 8, you should be specific about whether you have 8 groups of 5, 8 groups of 500, 800 groups of 5 or 500 groups of 8, etc. Language about flats and longs can be very helpful. Pictures of flats and longs are not required, if you are using the words flats and longs instead.	Tues, Nov 16th
HW 10:	TB 1.2: 3-4, 7-8, 18-21, 28-31, 37-38, 40-41 WB 1.3: 1-9 TB 1.3: 1, 2, 3, 6-7, 29, 31-32, 35-37 You may still turn in re-writes for the long division project. (Or first drafts, if necessary) Staple any prior drafts to the back of the re-write and submit it in a separate pile from the rest of the homework.	Tues, Nov 23rd
Week 9	Midterm: 2nd half of class, Tuesday before Thanksgiving: Nov 23rd For midterm, focus on Looking at Student Solutions, student errors, student algorithms, artifacts of student learning Division: Two models: Sharing and Measurement, plus measurement via area model. Writing story problems for each operation. Choosing story problems that invite specific models: sharing vs measuring, take away vs comparison Long division: Sharing model vs measurement vs measurement via area (Student error may involve mixing two models together, leading to student confusion) Focus on relational rather than instrumental understanding. Story problem strategies (including Polya's 4 step method). Be prepared to use guess and check, charts, working backward, drawing a picture, algebra, etc. Pattern recognition (consider H problem) Find number of squares in 10th guy in sequence. Describe nth shape, create a formula. Determine whether a student's formula is correct Algebra (via story problems & manipulatives)
	No homework is due on Tuesday. If you haven't finished the divisibility worksheet, do that by Tuesday. Internet help is okay for this. I also suggest reading Ch 4.1 and 4.2 of the textbook. Here is the bonus from Tuesday. The deadline is modified to be the last day of class in Week 10. You must work alone, no internet help.
HW 11	HW for Thursday: TB 4.1: 5, 13-24, 27 TB 4.2: 3, 9, 11, 15, 20-21, 23, 25	Not turned in. Discussed in class.
Bonus	Turn in problems 2 and 3 from the worksheet from Thursday at the time of the final.
	Final exam Topics: Alternate Bases Addition Subtraction models Multiplication models Division models Long division via sharing model, measurement, and measurement area Story Problems Patterns Algebra Variable pieces Divisibility tests for 3 and 9 Divisibility tests for 2, 5 and 4. GCFs and LCMs. All throughout, expect to see examples of student work/student errors. Be careful when choosing which model to use in your justification. When possible, stay with the student’s model. Ex) If they are halfway through a problem using the sharing model, its probably impolite to switch to measuring in the middle.
Final Exam	Final Exam: Tues, Dec 7th, 10:15-12:05

Schedule (tentative)

	Tuesday	Thursday
Week 1	Handshaking Problem Readiness Quiz	Start Xmania
Week 2	Continue Xmania	Ch 3 :History of Numbers Base 5
Week 3	Ch 3 : Addition, Subtraction	Ch 3 : Addition, Subtraction
Week 4	Ch 3 : Multiplication Models	Multiplication Ch 1 : Story problems Project
Week 5	Midterm 1	Ch 3 : Division
Week 6	Long Division	Problem Solving, Algebra (1.1, 1.3)
Week 7	Patterns (1.2)	No School, Veterans Day
Week 8	Algebra	Divisibility
Week 9	Midterm 2 Sets	No School: Thanksgiving
Week 10	GCFs & LCMs Ch 4	Finish Ch 4. Review.
	Final Exam: Tues, Dec 7th, 10:15-12:05