The Reading for homework usually will include both reading related to homework problems and reading to prepare for the next class. Unless otherwise noted, reading is from our main text (Sowder et al.). Important note: Always read the text (and the Boaler book) "actively." If a question or problem is posed, think about it and write down your ideas. When you feel as if you have made all the progress you can, then continue reading. In particular, for activities that have not be done in class already, write down the requested information or try to solve the problem before you read on.
You should do the WORK problems and check the answers in the back of the book, but you do not need to hand them in. I will assume you have done and understood these, so ask questions if you don't understand them, but you don't need to hand them in. Sometimes a "WORK" problem will help prepare you for doing a "HAND IN" problem.
Write up your answers to the HAND IN problems. Be sure to show your work and reasoning. For example, if a picture or diagram is helpful, draw it on the paper you hand in and explain it if necessary. If you write down some equations, explain the variables. If you make a table of numbers, explain what they mean. See the Homework and Reflection Papers page for more information about the collection and grading of homework. Be sure to write your name, the assignment number (e.g. "HW 1"), and the due date in the upper right corner of the first page, and please use a stapler (not the folded and torn corner trick) to fasten multiple pages together. After we assign permanent groups, also put your group next to your name on all your papers.
| Due Date | Reading | WORK problems | HAND IN problems | Comments | |
| HW 1 | 10/4 |
pp. 1-6* in §§1.1 & 1.2. In Boaler book, pp. 185-193** |
none this time | §1.2, pp. 8-9, Exer. 1, 2a, & 3; paragraph on Boaler reading as described below. |
*pp. 6-7: don't read Activity 2 before
the first (9/29) class. **work on checkerboard problem from first class ("extra problem") before reading in Boaler Don't forget your Initial Reflection Paper is also due on Monday, 10/4. |
| HW 2 | 10/6 | §1.2, all of Activity 2 discussion,
and last paragraph of section (top of p.8); Rest of Chapter 1. |
§1.3, pp. 14-15, Exer. 1,2,6. | §1.2, p. 9, Exer. 4,5,7,8; §1.4, p. 19, Exer.6&8. |
|
| none | Research your group's "name". | Find out the mathematician's full name, approximate dates, a couple of things she or he did. | I'll ask for a volunteer to share information with the class every class or two. | ||
| HW 3 | 10/11 | §§2.1-2.3, pp.21-31; §15.3, pp.346-350; In Boaler book, last paragraph on p. 155 through top of 157 (not 127), & pp.194-195. |
Review Ch. 1 using §§1.4-1.5 and Supplementary exercises for §1.2 (pp. 10-11) as needed. | Write up your thoughts on Discussions 2&3
in §15.3 (pp.348&350); §2.2, pp. 25-26, Exer. 1bcijk,2,3,5bc,8,& 9* |
*For 9, explain your answers. (Assume this instruction is added to every "yes/no" question asked in the future, too.) |
| HW 4 | 10/13 | Finish or review §2.3. | §2.3, pp.31-32, Exer. 4,6ab,*9abc,15a; read 11 for fun. | §2.3, pp.31-32, Exer. 2,5ab,6de,8,10,15bce. | *For Exer. 9, try to reason out the answer without converting all the numbers to base ten. |
| HW 5 | 10/18 | Finish Chapter 2. | If studying for makeup quiz, try
§:1.4, p.19, Exer. 2,4,6,8
(diagram solutions in back of book). §2.3, p.33, Exer. 18ab,20,21. |
§2.3, pp.31-33, Exer. 3,6f*,7,13*,16,18cde. | *These problems involve "basimals." See examples in the exercises, and we'll discuss more on Monday. |
| HW 6 | 10/20 | Starting on §4.1 may be useful (but OK to wait until HW 7). | §2.3, p. 32, Exer. 12 & 14a. §2.4, p. 38, Exer. 2a*. |
§2.3, pp. 31-33, Exer. 5c,14bc,18f,
& 24 (in 24, draw the blocks). §2.4, p. 38, Exer. 4c & 7cd SEE NOTES BELOW. |
*If you need more practice, §2.4, Exer. 4ab & 7ab have answers in the back. |
| HW 7 | 10/25 | Chapter 4 | Work 10/20 worksheet through part E if not done in class. |
§2.4, p. 38, Exer. 5c & 8cd SEE NOTES BELOW. §4.1, p. 83, Exer. 1b & 2ab SEE NOTES BELOW. |
If you need more practice, §2.4, Exer. 5ab & 8ab, and §4.1, Exer. 1ac have answers in the back. |
| HW 8 | 10/27 | §3.1. Work on Activity 1
and draw a diagram for the situation before looking at
the diagram the book gives after the activity. Activity 2 will
be classwork. §3.1 up to Example 5 |
Activity 2, p. 81 in §4.1. Study for quiz on subtracting in other bases. |
Lattice multiplication problems below. §4.1, pp. 83-84, Exer. 1d, 3, & 5. |
|
| HW 9 | 11/1 | Appendix B, p.AAP-15. §§3.2-3.3. |
See note below on "Work" problems. §3.1, p.46, Exer. 3&4; 9 is good practice on using diagrams (See complete solution, p. A-1). §3.2, pp.51-53, Exer. 1,2,3,4,7,10. |
Watch Video Clip 1 at
http://crmse.sdsu.edu/nickerson
(site listed in Appendix B) and answer the four questions about it
on pp.AAP-15&16. §3.1, pp.46-47, Exer.*2,*5ab,*6,*10, and apply instructions in 11 to 6&10. §3.2, pp.52-53, Exer.5b,8,&9. §3.3, p.58, Exer.5. |
*Note instructions at top of p.46! |
| HW 10 | 11/3 | Read Chapter 3 at least through §3.5. | See note below on "Work" problems. §3.2, pp.53-54, Exer. 11. §3.3, p. 57, Exer. 2,3,4. (§3.4 work postponed.) |
§3.1, p.46
(not §3.2), solve Exer. 3 by diagram*. §3.3, p. 57, Exer. 2B&F, also describe the type of problems this method works best for. (§3.4 work postponed.) |
*(a) Show all and only the given information in a diagram (may have some English); then (b) solve from your diagram: if you want to add to it, redraw it first. Explain reasoning from the diagram clearly! |
| HW 11 | 11/8 | Finish Chapter 3. | §3.4, pp.64-65, Exer.3,4,8,9ac,13. §3.5, p.71, Exer. 9 & 10. |
Read about Video Clip 2 on p.AAP-16.
Then watch it at
http://crmse.sdsu.edu/nickerson
and write answers to questions 2 & 3 to turn in. §3.4, pp.64-65, Exer. 2, 10c (draw tree), & 12*. §3.5, pp.69-70, Exer. 1,2,4,8def. |
*Draw part of the tree for each part of 12. (Draw a few of the branches, and indicate how many more there are.) In part b, for simplicity assume flavor A on top of flavor B is different from B on top of A. |
| 11/10 | Note that HW 11, due Monday, is above. | Study for Midterm on 11/10. | No homework to hand in. | Don't forget the Boaler reflection is due on Friday, 11/12. See Catalyst dropbox or Homework and Reflection Papers page for details. | |
| HW 12 | 11/17 | Read/review §3.7. In Chapter 5, read §§1,2, & 5; §§3 & 4 optional but highly recommended. |
§3.7, pp.75-76, Exer.1,4,7a. §5.1, p.89, Exer.1,2abcd,3abcd. §5.2, p.93, Exer. 1,3,5,6,7a,8ab. |
§3.7, p.76, Exer.5,7b,8. §5.1, p.89, Exer.2efghi,3efghi,5*. §5.2, p.93, Exer.2,7bcd,8cdefg. |
*"x% of the smaller figure"
means "a region with the same area as x% of the
smaller figure." Note the figure divides easily into sixths. Don't forget the regrouping survey! Bring Chap. 6 to class Wed. |
| HW 13 | 11/22 | §§6.1,6.2, & start 6.3. | §6.1,pp.104-107, Exer.3,5,9,22cd. §6.2,p.111, Exer.2,*7,*8a. |
§6.1,pp.104-107, Exer.4,8,13,19,22gh. §6.2,p.111, Exer.**5bc,*8bc,*11. Read about "Video Clip 3:Rachel" on p.AAP-16. Then watch it at http://crmse.sdsu.edu/nickerson. Think about all the questions on p.AAP-16, but just write answers to 4, 5, & 6 to turn in. |
*If you have old version of book,
in §6.2 you don't have Exer.7, and
8 & 11 are 7 & 9 in your book. **Show steps to show your reasoning. |
| HW 14 | 11/29 | Finish Chapter 6 & read §7.1. | §6.3,pp.116-117, Exer.2abcde,3,4ac,5,7,11. | §6.3,pp.116-117, Exer. 1,2fgijk,4bd,6,9,10,12. | Bring both chapters 6 & 7 to class today,
and 7 to class for rest of the quarter. Also bring p. 70 (§3.5 Exer.) on Wed. |
| HW 15 | 12/1 | Read §§7.2-3. Note HW due Monday is above |
§6.4,pp.120-121,
Exer.2,3,5,8ab,10,12ab,13. §7.1,pp.127-128, Exer. 1,6,9,16ab. |
§6.2,p.112, Exer. 12*. §6.4,pp.121-123, Exer.4,6,8cde,9,12c-i,17. §7.1,pp.127-128, Exer. 3,8,11,14,15,16c. |
Don't forget Projects are due today.
(See announcements from last week if you need an extension.) Bring p. 70 (§3.5 Exer.) as well as Chap. 7 to class. *In old version of book, I think this is Exer.10. |
| HW 16 | 12/6 | §7.3 (stop if you get confused,
we'll work on this Monday), §7.4, & Chapter 8. |
§7.2, pp.132-133, Exer.2,7,5abcd,8*. §8.2, pp. 148-149, Act. 4 #6 (check answer) then #1 & 3. Really do these! Some you can check in back, all are chosen to help you with some Turn In problems. |
§7.2, pp.132-133, Exer.1ab,5efgh,6**,9*,12bcd. §8.2, pp. 150-152, Act. 5, Exer. 7 & 10. ***Watch "Video Clip 5:Felisha" at http://crmse.sdsu.edu/nickerson and Answer questions 2,3,4 on p. APP-17. |
*Note "of what quantity" means "what's
the referent unit?" **Draw diagrams; the diagrams for a and b should be different. ***I heard the "big screen" (Mac?) computers in Odegaard are better for viewing the videos, but be patient while they load. |
| HW 17 | 12/8 | Recommended: "Issues for Learning" sections in Chapters 8 & 9. See last paragraph on Project page for useful NCTM links. | §7.3, pp.140-141, Exer. 1,2,3,6,10. Note another kind of "number talk" in Exer. 16. |
§7.3, pp.140-141,
Exer. 7,12,13,14,15*. Read about "Video Clip 6: Elliot" on p. APP-18, then watch it at http://crmse.sdsu.edu/nickerson and answer questions 1,2,3,4 to turn in. |
*In 15, say which division model your problem uses. Try to include both kinds: measurement (= repeated subtraction) and sharing. |
| Turn in all makeup homework at last class or to Cris by Friday, 12/10. | Email Cris negron@math.washington.edu to arrange any turn-in after our last class. | ||||
| Due Date | Reading | WORK problems | HAND IN problems | Comments |
Additional notes on some assignments.
HW 1: Write a paragraph describing your thoughts on the reading
in Boaler. For instance, do you use these problem solving techniques
regularly? Did you learn anything new?
HW 6: Record your work for §2.4, p. 38, Exer. 4c & 7cd in two ways:
(i) Draw the blocks (as in Example 8, p. 37, or Example 1,
§4.1, pp. 79-80), and also show either the expanded or standard algorithm
(shown on left and right sides of p. 35, start of §2.4).
HW 7: Record your work for §2.4, Exer. 5c & 8cd, and
§4.1, Exer. 2ab in two ways, as in HW 6 note just above.
HW 8: Do the following problems, using the lattice method
and working in the appropriate base.
(a) 234five by 4five;
(b) 413five by 24five;
(c) 76nine by 53nine;
and (d) 2021three by 222three.
HW 9&10 Chapter 3 has many examples of children's reasoning for and
difficulties with problems. I'm assigning many "Work" problems so you read
and think about these examples, but don't have to spend time writing them up.
Also check for answers in the back of the book on these "Work" problems,
which may give additional insights.
Return to the Math 170 Homepage. Most recently updated on December 6, 2010