| HW 5 |
- 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.)
- TB 3.1: Writing and Discussion p 141, #1
- TB: Exercises and Problems 3.2 (p158): 3, 5, 7, 9, 11, 15, 17, 19, 21, 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.
| Tuesday, Oct 20th
|
| Midterm | Our first exam will be the second half of class on Thursday, Oct 22nd. The first have of class
will be class as usual. Here are some ideas to focus on as you prepare for the midterm:
- Structure of base 10 vs additive number systems like Roman numerals
- Base 5 and other bases, including visuals and explanations of regrouping.
- Addition - especially explaining regrouping / "carrying the one"
- Subtraction - 3 models (Comparison, take away, missing addend) Any of these models can be used with
pictures of base pieces, pictures of number lines, and story problems. You are responsible for all three models.
Another important part of subtraction is explaining regrouping / "borrowing" with both visuals and the traditional
algorithm.
- Student errors / student questions. Test questions are frequently phrased in the form: Jimmy did this, what does that say
about his understanding of...? How can you help him? Is his method always valid or just on this problem?
- Number properties (study your study guide)
| Thursday, Oct 22nd
| | Due Week 5 | Take home portion of the midterm is due at the start of class
on Tuesday, Oct 27th.
You must work alone. Work should be typed. Read all directions carefully and email me if you
have questions.
| Tuesday, Oct 27th |
| HW: 6 |
If you were absent on Tuesday due to the plague, please read through section 3.3 in the textbook on models of multiplication.
Then complete workbook 3.3, as indicated below. You may also want to get notes from a classmate on the variety of
models presented in class on Tuesday.
HW: 6
- 1. WB: 3.3 (p76): 1, 3, 5, 6 (complete WB by Thursday's class so that you can ask questions about the models of multiplication)
- 2. TB: Exercises and Problems 3.3: 5, 7-10, 13, 15-22, 42, 43, 52, 53
- If you have any questions on multiplication/ area model, please let me know.
| Tuesday, November 3rd
|
| HW 7 |
- 1. WB 3.4: 1- 6
- 2. TB: Exercises and Problems 3.4:2, 4, 8, 10, 13-19, 27-30 (read about the equal quotients and compatible numbers methods in the chapter before starting 27-30)
- 3. Time Lapse Long Division. Please turn in part (3) as a separate homework from
the textbook and workbook sections. The Time Lapse Long Division will be graded as its own assignment.
| Tuesday, Nov 10th |
| Once we finish division, we will go to Ch 1 and 2. Bring WB Ch 1 and 2 to class. (We plan to end the term with
Ch 4, to best prepare you for math 212)
| | HW 8 | - TB 1.1 (p14): 2, 4, 6, 18, 22, 33, 35
- WB 1.3 (p19): # 1-9.
| Thursday, Nov 12th |
| HW 9 |
- TB 1.1: 3, 8, 11, 15, 20, 28. This set of problems should give you a chance to try each solution method (guess and
check, working backwards, chart, etc). If a specific solution method is named for the section that problem is in, please try
that method (though you are welcome to try other methods in addition).
- TB 1.2: 2, 4, 5, 6, 22-23, 28-31, 37-38
- TB 1.3: 6-7, 31-32
- The workbook 1.2 will not be turned in with this homework, but we will plan to continue to work on that section
in class next week
- Read 2.1 p 62-71, as background for Tuesday's class.
| Tues, Nov 17th |
| Long Division | Read the "Interpreting the Standard Division Algorithm in a "Candy Factory" Context", handed out in class
on Tuesday.
If needed, complete your second draft of the Long Division Time Lapse problem (with follow-up questions answered
if you skipped that last time). Please turn this in by Tuesday, Nov 24th. Staple the original draft to the new draft. If you are
okay with your score on the first draft, you do not have to do a second draft. You are welcome to turn in the second draft earlier
than Nov 24th, if you prefer.
| Tues, Nov 24th |
| HW 10 |
- WB 2.1 # 4-7
- Type answers to:
- What did you think of the WB activities for Section 2.1? Was it clear? Did you learn the big ideas? Opinions on the activity?
- Do you think venn diagrams would be a useful part of math for K-6 students?
- No numbers were used in the first two class Venn diagram activities (WB 2.1 and the yellow/round/food example).
How would you respond to a student who says this isn’t math since there are no numbers?
| Tues, Nov 24th |
| Midterm | Midterm, Tuesday Nov 24th (Thanksgiving week)
Bonus Project on Divisibility in alternate base: Due Last Day of Class |
| HW 11 |
- Divisibility Tests Worksheet (Begun in class)
- TB 4.1 (p229):4, 6, 13-24
- Bring WB on Tuesday
| Tues, Nov 31 = Tues, Dec 1st
| | Bonus HW | WB 4.2, 1-9 may be completed as a bonus assignment. (This could make up for a missed HW earlier in
the term, or just extra HW points) | Thursday, Dec 3rd |
| | Here are some key topics to keep in mind, as you study for the final exam.
Topics: - Alternate bases
- Subtraction models
- Multiplication models
- Division models
- Long division via sharing model
- Story Problems
- Patterns
- Algebra Variable pieces
- Set theory/ Venn diagrams – review of notation
- Divisibility tests for 3 and 9
- Divisibility tests for 2, 5 and 4.
- GCFs and LCMs.
| |