Week 5:

Due Monday, February 6: Nothing due. If you had handed in the penguin problem on 1/25 and are not satisfied with your score you may turn in the "extra" problem about mixtures that is posted for 1/25. Peter will grade this problem and revise your homework score accordingly. I apologize for the confusion!

Due Wednesday, February 8: Hand in: problems 14 and 22 on pages 34, 36 of the posted revised section 7.6 (posted last week and also stated below), and problems 15 and 19 on pages 313, 314 of the book.

14) The ratio of Frank's marbles to Huang's marbles is 3 to 2. After Frank gives 1/2 of his marbles to another friend, Frank has 30 fewer marbles than Huang. How many marbles does Huang have? (a) Explain how to solve this problem with the aid of a strip diagram. (b) Create an easier problem for your students by changing the ratio, 3 to 2, to a different ration and by changing the number of marbles, 30, to a different number of marbles in the problem. Make sure the problem has a sensible answer. Explain how to solve the problem. (c) Create a problem of about the same level of difficulty as the original problem by changing the ratio, 3 to 2, to a different ratio and by changing the number of marbles, 30, to a different number of marbles in the problem. Make sure the problem has a sensible answer. Explain how to solve the problem.

22) Marge made light blue paint by mixing two-and-a-half cups of blue paint with one-and-three-quarter cups of white paint. Homer poured another cup of white paint in Marge's paint mixture. How many cups of blue paint should Marge add to bring the paint back to its original shade of light blue (mixed in the same ratio as before)? Use the most elementary reasoning you can to solve this problem. Explain your reasoning.

Week 6:

Due Monday, February 13: Do practice problems 6 and 7 of section 7.6 (page 309). Read section 13.1 and do the practice problems. Hand in: problem 22 on page 314, problems 8, 9, on page 593 (these two count as 1 problem), and the following "extra" problem:

"extra problem": For each of the two figures shown here, write two different expressions for the total number of small squares in the figure. Each expression should use one or more of addition, subtraction, or multiplication. Briefly explain how you get your expressions. (You do not have to write equations as in problems 8, 9.)

Due Wednesday, February 15: First part of field assignment due.