Class Homework and Announcements
Date	Homework	Announcements
February 5	Read Section 3.3. On page 186, do 4, 17a (draw an appropriate area model), 41, 47, 49. Finish the sections "Hand Tricks" and "Multiplying by 11" on this handout. Problem A: For each of the following problems, use the distributive property to do the multiplication IN YOUR HEAD and write down you ranswer. Then draw an "area model" to show why your mental computation worked. (a) 26 x 11 (b) 501 x 11 (c) 511 x 11. Problem B: Draw an area model to show that (x+3)(x+2) = x^2+5x+6. Problem C: Draw an area model to show that (x^2+x+3)(x+2) = x^3+3x^2+5x+6. Problem D: Consider the multiplication problem 1ABCDE x 3 = ABCDE1. (Set this problem up vertically). (a) Find A,B,C,D,E to make the problem work. Is there more then 1 answer? (b) Same question in Base 8. (c) Same question in Base 9.	No announcements.
February 7	On page 186, do 12, 52 (make 5 tables like the base 9 ones from class) 53 Problem E: Multiply 35 x 27 in base 8, 10, 12 using (a) the multiplication algorithm and (b) the area model like we did in class Finish the "Muliplication Table Patterns" part of Tuesday's handout	No announcements.
February 12	Here is today's homework.	No announcements.
February 14	Exam 1 is today. You may turn in your homework from 2/5 and 2/7 for possible bonus points on the exam.	Your algorithm project is due MARCH 4. This is a change from the original date.
February 26	Read Section 3.4. On page 207, do 1,2,5 (manipulatives are the single, long, and flat pieces we have been using), 32,46, 47, 49, 50, 51, 54, 56 Find at least two problems in exercises 14-24 where you think the "Repeated Subtraction" division model is most appropriate. Explain your answers. Find at least two problems in exercises 14-24 where you think the "Partiioning" division model is most appropriate. Explain your answers. Ask someone (not in this class) what 5/0 equals. Record their answer. Show them 4 ways to understand why 5/0 is "undefined". Ask them which explanation they prefer and why. Record their answer and reason.	Remember that your algorithm project is due a week from today, on March 4. It is worth as many points as an exam!
February 28	Read Section 2.1. On page 76, do 13, 15def(don't worry about the symbols . . . just shade the Venn Diagram), 18abd, 19, 20, 22, 23 Here is another homework problem.	There is a quiz today. The homework "due" is from 2/12.
March 4	Here is today's homework.	Your algorithm project is due today at the beginning of class! Change to Thursday Office hour: Starting this Thursday, I will be in my office from 11-12 (instead of from 10-11).
March 6	On page 28, do 21d, 22(c,d,e,j) (label each sequence as arithmetic, geometric, or neither . . . explain your answer), 34 The first term of an arithmetic sequence is 4 and the sixth term is 19. Write down the first 10 terms of the sequence. The first term of an arithmetic sequence is 14 and the sixth term is 4. Write down the first 10 terms of the sequence. The first term of a geometric sequence is 3 and the forth term is 192. Write down the first 8 terms of the sequence. The first term of a geometric sequence is 25 and the forth term is 1/5. Write down the first 8 terms of the sequence. Here are some more homework problems. On page 98, do 18, 19, 21, 22 (for each of these, answer the question for the 100th figure, and then for the general nth figure)	There is a quiz today. The homework "due" is from 2/26 and 2/28.
March 11	Find the "magic sum" of an 8x8 magic square. Then check the magic squares in problems 21 and 22 on page 56. Does you magic sum agree with these squares? On page 26, do 1,2,3,7 On page 59, do 1,2,3,4,6 Here are a few more problems.	No new announcements.
March 13	Finish the "Sieve of Eratosthenes" handout from class. On page 97, do the following three parts for problems 11,13,15: (a) make a table, (b) draw a properly labelled graph, (c) answer the question using complete sentences: 11,13,15 You are a sales representative at a company. Your boss offers you two pay scales. Pay scale 1: An annual salary of $10,000 plus an 8% commission. Pay scale 2: An annual salary of $13,000 plus a 6% commission. Which pay scale do you want? Your answer must include a table, a graph, and a well-written answer.	There is a quiz today. The homework "due" is from 3/4 and 3/6.
March 18	Read Section 4.1. On page 230, do 15 (use the quick divisibility rules), 16(a,b), 17(a,b), 19 (Find at least two answers, and use sentences to explain your solution clearly.), 20, 34(a,c)	No new announcements.
March 20	Read Section 4.2. On page 231, do 26(b,d,e) On page 239, do 3(e,h), 7,8, 10, 11a,12,13,15(a,b) Problem A: Find a number greater than 5000 that has exactly 6 factors. Find another number greater than 5000 that has exactly 12 factors. Problem B: For Taxman, find the best game and the worst game. Provide a convincing argument that your answers are correct. Problem C: Find all possible ways to fill in the blanks to make the number 31_273_ divisible by 6.	CHANGE: The quiz became a take-home quiz. It is due on Tuesday at the beginning of class. The homework from 3/11 and 3/13 will also be collected then.
March 25	Mini-project presentations are today. Come prepared with questions about the exam (from homework, quizzes, the study guide, etc.)	No new announcements.
March 27	Exam 2 is today.	If you turn in the homework from 3/18 and 3/20, the bonus points will be applied to Exam 2.
April 1	Finish the "Regular Polygon" handout from class (including the googolgon). On the back of a class handout were shapes (an octagon and diamond, and then an L). Can the plane be tiled with these shapes? Draw a convincing picture! Find the areas of the two weird shapes on the class handout (we did the top two in class; you do the bottom two now) Find two neat tesselations (tiling) of the plane somewhere. Make a sketch of each one. Where did you find these tesselations? Here are a few more problems.	No new announcements.
April 3	On page 674, do 1(b,d,f), 2(a,b), 3,7,8,9,10,14,18,19, Problem A: For problem 18 on page 677, draw a square around the four circles, where the length of each side of the square is 20 m. If you through a dart at this square, what is the probability that the dart will land in one of the circles? Problem B: Same as Problem A, but te length of each side of the square is 2500 cm. Problem C: If you through a dart at the figure in #15 on page 677, what is the probability that the dart will land in the blue area? Turn these decimals into fractions.	Here is a copy of the take-home quiz. It is due at the beginning of class on 4/8.
April 8	Finish the "drawing fractions" worksheet from class. On page 281, do 1, 2 (DTP=draw the picture), 6, 8, 13, 14, 30(DTP), 31(DTP), 34	No new announcements.
April 10	Here is today's homework.	There is a quiz today. The homework "due" is from 4/1 and 4/3.
April 15	Read Section 5.3. Use a picture to solve each of the following problems on page 304, 5, 9, 10, 11, 12, 13, 17, 20a, 21, 22 Problem B: Use an area model to find the product 2/3 x 1/2. Problem C: Use an area model to find the product 2/3 x 5/2. Problem D: Use the fraction division rule (dividing by a fraction is the same a multiplying by the reciprical) to find the quotient 2/3 / 1/2. Explain WHY it is okay to multiply by the reciprical. Now use pictures to find the quotient.	No new announcements.
April 17	Read Sectuib 6.2. Use a picture to solve each of the following problems on page 374: 2,4,5,6,8,16,18,19,20,41 Problem A: Suppose the buttons on a copy machine are 50%,75%,80%,100%,150%,200%,250% (where the 100% button produces the original document). If the 100% button was broken, how could you make a copy of the original that was the same size? Now suppose the 200% button doesn't work. Answer the question again.	There is a quiz today. The homework "due" is from 4/8 and 4/10.
April 29	No new homework.	No new annoucements.
May 1	Exam 3 is today. You many hand in the homework from 4/15 and 4/17 for possible bonus points on the exam.	No new announcements.
April 29	On page 413, do 1(a,b,j,k), 4,9,10,11 On page 449, do 7(1,c,i - make one boxplot for each school, j)	No new annoucements.