Math 211: Elementary Math I- Homework

Math 211: Elementary Math I - Winter 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. Write up solutions for two different ways to solve the handshake problem. A complete write up should explain how to add one more person to a group, and how to find the number of handshakes for 10 people in a group. If possible, include images that might be helpful for fellow students to follow your thought process. To go the extra mile, explain how to find the number of handshakes for 20 or 100 people.	Thurs, Jan 7th
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 "(10am/2pm) Math 211 Skemp: Your First and Last name". To receive credit, please include your appropriate section time and your first and last name. This assignment is due by noon on Monday, January 11th, 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 January 11th
HW 3	HW 3: 1. 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 20 in your new number system, along with numbers equivalent to 87 and 200, and 3144.	Thursday, Jan 14th
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. (This portion is due at the start of class on Tuesday) The following workbook and textbook assignments should be completed and kept in your portfolio. Portfolios will be collected periodically. Please label each section carefully, with headings like "WB 3.1" or "TB 3.1". 2) WB: 3.1 (p57-59): 1-7 3) TB: Exercises and Problems 3.1: 1-17, 28, 37 (for some of the numeration systems, you'll need to read section 3.1)	Tuesday January 19th
HW 5	HW (all of the following should go in your portfolio) 1. WB: 3.2 (p66-72): 1-9 (Numbers 1 and 5 are games for you to play and need not be recorded in your workbook.) 2. TB 3.1: Writing and Discussion p 141, #1 3. TB: Exercises and Problems 3.2 ): p158: 3, 5, 7, 9, 11, 15, 17, 19, 21, 35, 36 4. 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, Jan 26th
HW 6 Jan 28th	For Thursday, your in class project should be done with a partner. If you have questions, please email me. I will not be in class on Thursday, but you do have the room available to you on that day. I will be collecting your story problems project on Tuesday, Feb 2nd. You may want to use some of your class time on Thursday to finish your multiplication posters from Tuesday.
Midterm	Midterm will be Thursday, Feb 4th (Instead of Tuesday). Take home portion. This should not be discussed with anyone. Takehome due at the start of class on Tuesday.	Tues, Feb 9th.
HW 7	For portfolio 1. WB: 3.3 (p76): 1, 3, 5, 6 (Done in class Feb 2nd) 2. TB: Exercises and Problems 3.3 (p180): 5, 7-10, 13, 15-22, 42, 43	Tuesday Feb 9th
HW 8	HW8: For portfolio 1. WB 3.4 (p83-87): 1- 4 2. TB: Exercises and Problems 3.4: 1-7, 10, 13, 14, 16, 18, 20, (read about the equal quotients and compatible numbers methods in the chapter and jot down a few words about how they work before starting 27-30), 27-30 , 58-60 The following homework section is based on what was done in class on Thursday. I'd like to know what you can do on your own, outside of class. (Not for portfolio) (On scratch paper) Choose a visual model to perform division for the problems: 2437 / 11 and 432 / 3 (On scratch paper) Create a pencil and paper algorithm that corresponds to the visual model you are using. Each step on paper should have a direct correspondence to something in your visual model. You do not have to use the algorithm you learned in elementary school. You do have to explain whatever algorithm you create. (This is the part you will write up) Once you have your model and your algorithm, carefully write up your problems, showing how each step in the algorithm matches a step in the visual. Try to show your work in a time-lapse method, where we see first step one, then a new image for step two, then a new image for step three, etc. That way the reader doesn’t have to sort through all the steps on top of one another. Portfolios will be collected on the 16th. Put your assignments in the order they were assigned, being sure to label each assignment correctly as WB or TB (and which section). Put your name on every assignment.	Tues, Feb 16th
HW 9	Bring your workbooks for Tuesday. We'll be looking at Ch 1. HW: 9 WB 1.1 (p3) #1-8 all WB 1.2 (p11) #1-6 TB 1.2 (p30): 1-8, 18-23, 26-31, 40-43 If you plan to make changes to your long division homework (returned Week 7) it would be best to submit those in class on Tuesday, Feb 22nd, so that you can get feedback before the midterm.	Tues, Feb 23rd
	For Thursday, Feb 25th, do WB 1.3 problems 1-5. Bring your solutions ready to share on Thursday.	Thurs, Feb 25th.
HW #10	WB 1.3: #1-9 TB 1.3: 1, 2, 3, 6-7, 29, 31-32, 35-37	Tues, March 2nd
Midterm	Midterm Tuesday Feb 30th (Tues March 2nd) Focus on: Looking at Student Solutions, student errors, student algorithms, artifacts of student learning Multiplication: repeated addition, area model and partial products 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)
HW 11	HW 11 TB 2.1 (p73) 15-20, 23-34, 37-42 Take home part of the midterm is due on Tuesday, March 9th	Tues March 9th
HW 12	HW for Thursday: (based on material covered on Tuesday, March 9th) TB 4.1: 5, 13-24, 27 TB 4.2: 3, 9, 11, 15, 20-21, 23, 25 Do your best to complete this homework by Thursday March 11th so that you can ask questions if you have any.
Portfolios Due	Bring your completed portfolios to the final exam. I will be checking HW 9 thru current (assignments since the last time I collected the portfolios). Make sure your assignments are organized in the order they were assigned and clearly labeled.
	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 Set theory/ Venn diagrams – including notation & sorting 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: 10am Section: Tues., March 16 : 1015-1205
	Final Exam: 2pm Section: Mon., March 15: 1015-1205
	If you cannot come at your scheduled time, let me know by Thursday, March 11th

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	Ch 1 : Story problems Project
Week 5	Multiplication	Midterm 1 Ch 3 : Multiplication
Week 6	Division	Long Division
Week 7	Problem Solving, Algebra (1.1, 1.3)	Patterns (1.2)
Week 8	Patterns (1.2)	Algebra
Week 9	Midterm 2 Sets	Sets Divisibility
Week 10	GCFs & LCMs Ch 4	Finish Ch 4. Review.
	Final Exam: 10am Section: Tues., March 16 : 1015-1205
	Final Exam: 2pm Section: Mon., March 15: 1015-1205