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Week 1: Fraction divison

Thursday, January 4: Welcome to MATH 5035/7035!

Week 2: Fraction divison

GO DAWGS!!!!!!!!

Due Tuesday, January 9: (1) Read all the basic information about the course, including course policies and grading. (2) Read section 6.4 and do practice exercises 1 and 2. (3) Post on eLC: Problem 4 on page 259. NOTE: if you are delayed in completing this assignment due to dawg-o-mania, it's ok. 

Due Thursday, January 11: Post on eLC: Problem 11 on page 260. MATH 7035 students: brainstorm ideas for your course project and make an appointment to discuss your ideas. Your course project should connect to the content of this course and should examine some mathematical ideas in detail.

Week 3: Fraction divison

Due Tuesday, January 16: (1) Do practice exercises 3 in section 6.4. Read the beginning of section 6.5 to the middle of page 263 and do practice exercise 1 in section 6.5. (2)  Post on eLC: Problem 12 on page 260 and Problem 2 on page 268.

Due Thursday, January 18:  (1) Read the rest of section 6.5. (2) Post on eLC: Problem 4 on page 268.

Week 4: Fraction division; Ratio and proportional relationships

Due Tuesday, January 23:  (1) Do the rest of the practice exercises in section 6.5. (2) Post on eLC: Problem 8 on page 268 and also: for each of the two questions, (a) write and explain a corresponding division equation and (b) explain why you can solve the problem by "multiplying by the reciprocal" (as we have been doing).

Due Thursday, January 25:  Take-home test handed out in class. Finish the rest of Class Activity 6Q and do problem 10 a - f on pages 268 - 269 and be prepared to explain your solutions in class. Be sure that you can explain your answer in terms of our class definition of multiplication. I will ask people to put their answers on the board and on iPads at the beginning of class and we will go through them quickly.

Week 5: Ratio and proportional relationships

Due Tuesday, January 30:  (Take-home test due -- we extended the deadline.)

Due Thursday, February 1:  Take-home test due. You can take a little extra time to complete the following homework: (1) Read section 7.1 and do practice exercises 1 and 2. (2) Post on eLC: Suppose you mix 15 drops of rose oil with 20 drops of lavender oil. Explain why this mixture is in the ratio 3 to 4 in two ways (a) by using the multiple-batches perspective and (b) by using the variable-parts perspective.

Week 6: Ratio and proportional relationships 

Due Tuesday, February 6:  MATH 7035 students: course project proposal due. (1) Read section 7.2 and do practice exercise 3 in section 7.1 and practice exercise 1 and 2 in section 7.2. (2) Post on eLC: Problem 1 a, b on page 297.

Due Thursday, February 8:  Fraction survey due. Please do the survey on your own and try to it in one sitting if possible.

Week 7: Solving proportion problems by reasoning about multiplication and division with quantities

Due Tuesday, February 13:  (1) Do the rest of the practice exercises in section 7.2. (2) Post on eLC: Problems 1 a, b (from a multiple-batches perspective) and problem 2 (from a variable-parts perspective) on page 297, but for problem 2 you only need to solve it in one way. 

Due Thursday, February 15:  Post on eLC: Problem 7 on page 298 except solve the problem in two ways from the variable parts perspective only. For one solution, treat each part as a group and find the value of one part first. For the other solution, take the total amount of nitrogen to be one group (as we did in class on Tuesday with the paint).

Week 8: Developing equations for proportional relationships and lines

Due Tuesday, February 20:  Post on eLC: Problem 7 on page 298 (that you did last Thursday) but this time, solve the problem in two ways from the multiple batches perspective. One of the ways should use a "unit rate group" that involves 1 base unit of one of the quantities. In that case, explain why you are using that unit rate and not the other (reciprocal) unit rate. 

Due Thursday, February 22:  No class. Work on the next homework and the take-home test, which is posted on eLC. Please email Terrin if you need copy of the test printed out for you.

Week 9: Developing equations for proportional relationships and lines; Inversely proportional relationships

Due Tuesday, February 27:  Post on eLC (ok if it's late because I know you are also working on the take-home test): Problem 3 on page 315, and try to generate all three of your equations by reasoning about a strip diagram from a variable-parts perspective.

Due Thursday, March 1:  Take-home test due (hand in a paper copy).

Week 10: Inversely proportional relationships

Due Tuesday, March 6: (1) Read sections 7.3 and 7.4 and do the practice exercises in section 7.4 (2) Post on eLC: Problem 3 on page 315 and problem 9a on page 317. For 9a, also describe how to think about the graph in terms of variable parts and explain how to reason about those variable parts to find and explain your equation.

Due Thursday, March 8:  (1) Read section 7.5 and do practice exercises 1 - 3 in that section. (2) Post on eLC: Problem 2 a, b, c, d, e of Class Activity 7M on page CA-132.

SPRING BREAK: week of March 12

Week 11: Number theory 

Due Tuesday, March 20:  (1) Do the rest of the practice exercises in section 7.5. (2) Post on eLC: Problems 1 a, b and 3 a, b on pages 321, 322. 

Due Thursday, March 22:  (1) Read section 8.1 and section 8.5 to page 357 and do practice exercises 1, 2, and 3 in section 8.5. (2) Post on eLC: Problems 2 and 4 on page 361.

Week 12: Number theory: square roots, Pythagorean theorem

Due Tuesday, March 27: (1) Read the rest of section 8.5 and do the rest of the practice exercises in that section. (2) Post on eLC: Problems 10 (explain in detail why your answers really are the GCF and LCM) and 8 on page 361. For problem 8, see if you can say roughly why those should be the GCF and LCM even if you don't have a complete, thorough explanation.  MATH 7035 students: Outline or first draft of your course project due.

Due Thursday, March 29:  Post on eLC: See Class Activity 12U on page CA-261. Find two different "tilted squares" inside a 4-by-4-square (see part 2) and for each tilted square (a) explain how to find its area by reasoning about "taking away" the area of the 4 triangles from the area of the big square like we did in class and (b) thereby determine the side lengths of the tilted square (without using the Pythagorean theorem). MATH 7035 students: Please email me an outline or first draft of your course project.

Week 13: Statistics

Due Tuesday, April 3: (1) Read section 12.9 and do the practice exercises except for #7. In particular, notice that you can review one proof of the Pythagorean theorem in practice exercise 6. (2) Post on eLC: Use the Pythgaorean theorem to develop and explain a formula for the distance between the points (x1, y1) and (x2, y) in the coordinate plane. Then illustrate the formula by finding the distance between (1, 4) and (3, 9).

Due Thursday, April 5:  (1) Read section 15.1 and browse section 15.2 focusing on the graph reading levels on page 689. (2) Post on eLC: Problem 1 on page 680 and Problem 2b on page 692 (it's fine to gather the data with a group of classmates) and also write one question at each of the 3 graph reading levels for your dot plot (see page 689 for the graph reading levels).

Week 14: Statistics

Due Tuesday, April 10:  (1) Read section 15.3 and do the practice exercises in that section. (2) Post on eLC: Problems 1 and 13 on pages 700, 701.

Due Thursday, April 12:  Take-home test handed out in class. (1) Read about random samples in Section 15.1 and read the short section on random samples in Section 15.4 (pages 705, 706). (2) Post on eLC: Problem 5 a, b, c, d and Problem 6 a, b on pages 716, 717.

Week 15: Statistics

Due Tuesday, April 17:  Take-home test due. The geogebra sketch for problem 1 is here: https://ggbm.at/f7xTdkSG

Due Thursday, April 19: Turn in the take-home test. It's ok to finish the following by Tuesday 4/24: (1) Read the rest of section 15.1 and do practice exercises 3 and 4 in that section. (2) Post on eLC: Problem 5 on page 680. 

Week 16: Review

Due Tuesday, April 24:  MATH 7035 students: Your course project is due -- please email it. 

Thursday, April 26: Reading day

Friday, April 27, 10 - 11:30 am review session in our usual classroom, 229 Aderhold. I will also return your tests at that time. If you need someone to pick your test up for you, please email me.

Week 17: Final Exam 

Tuesday, May 1: noon - 3pm FINAL EXAM in our usual room, 229 Aderhold.  The final exam will cover all the material from the entire course: Fraction division, sections 6.4, 6.5; Ratio and proportional relationships, sections 7.1, 7.2, 7.3, 7.4, 7.5; Factors and multiples and greatest common factor, least common multiple, sections 8.1, 8.5; Square roots and the Pythagorean theorem, section 12.9, especially class activities 12U and 12V; Statistics, section 15.1, 15.2, 15.3, and distributions of random samples in section 15.4 pages 705, 706.