Math for Elementary Teachers II

Welcome to Mth126: "Continued study of the mathematical concepts and techniques that are fundamental to, and form the basis for, elementary school mathematics.  Topics include:  use of probability and statistics to explore real-world problems; representation and analysis of discrete mathematical problems using counting techniques, sequences, graph theory, arrays and networks; use of functions, algebra and the basic concepts underlying the calculus in real-world-applications." 

News and Updates - Spring 2010

  • See the Homework and Handouts table below to download or print the syllabus, calendar, and all homework sets and class notes.
  • Looking for the Mth126 page from a previous semester? Here's a link: mth126fa08 or mth126sp09.

Homework and Handouts -- Hit Refresh (F5) To View Most Recent --

Tip: You may need to clear your browser's cache if the Notes.pdf links keep bringing up blank copies after class.

Week Homework / Tasks / Handouts
Week 1
(Overview.doc)
(Syllabus.doc)
(Calendar.doc)

  • Mon. 1/25 (Notes.pdf)
    • HW Sec. 11.1: (ans.doc) #1-6, 9-25 odd, 34-35
    • Present tomorrow (Group A): 11.1 #3, 23, 34
  • Tue. 1/26 (Notes.pdf)
    • HW Sec. 11.2: (ans.doc) #1, 3-4, 9, 19-22, 25-29 odd, 31-34, 37, 41, 45, 51-53, 54 (click for podcast), 55
    • Present tomorrow (Group B): 11.2 #27, 31, 32
  • Wed. 1/27 (Notes.pdf)
    • HW Sec. 11.3 (ans.doc) #5-15, 17- 21 odd, 25-31 odd, 35-53 odd, 57-60
    • Present tomorrow (Group C): 11.3 #35, 37, 41
  • Thu. 1/28 (Notes will be a continuation of Wed. 1/27 notes)
    • HW Sec. 11.3 (continued)
    • Present Monday (Group D): 11.3 #27, 29, 51
  • To Do: Type and email me your brief “Math Biography” by Friday evening. Please include “Mth126 Bio” in the subject line!
Week 2
(Project1.docx)
(Rubric.pdf)
(Sample.doc, .pdf)


  • Mon. 2/1 (Notes.pdf)
    • HW 11.5 #1, 2, 4-6, 8, 15, 16, 21, 25-28, 37, 38
    • Present tomorrow: #8, 15, 38
  • Tue. 2/2 (Notes.pdf)
    • 'Ch. 11 Test' (p. 672) #1-4, 6, 15-18, 19, 21, 22, 24, 25-28
    • Present Wednesday (Group 'A'): #17, 22, 27
  • Wed. 2/3 (Notes.pdf)
    • 12.1 #3-11 odd; #12, 15, 17, 18, 39, 40, 42, 43, 49, 51-53
    • Present Thursday (Group 'B'): #7, 39, 52
  • Thu. 2/4 (Notes.pdf)
    • 12.1 #24-26, 33-35, 59, 60, 63
    • Present Monday (Group 'C'): #26, 59, 60
Week 3
  • Mon. 2/8 (Notes.pdf)
    • HW 12.5 #1, 5, 7, 9, 11, 13-15, 17, 27, 28
    • Present tomorrow (Group 'D'): #11, 13, 28
  • Tue. 2/9 (Notes.pdf)
    • HW 12.2 #1, 3, 5, 7, 11, 13, 15, 32, 33, 35-38
    • Present tomorrow (Group 'E'): #1, 15, 33
  • Wed. 2/10 (Notes.pdf)
    • HW 12.3 #1-3, 13, 17, 19, 23-27, 33-34, 35-36
    • Present tomorrow (Group 'A'): #19, 25, 33
  • Thu. 2/11 (Notes.pdf)
    • HW 11.4 #1-7 odd, 17-20, 21-28
    • Present Monday (Group 'B'): #20, 27, 28
Week 4
(Exam1Review.pdf)
(Exam1Review.ans.pdf)
  • Mon 2/15 (Notes.pdf)
    • HW 12.4 #1-4, 10-11, 12-19, 20-23, 24, 25, 27
    • Present Wednesday (Group 'C'): #10, 23, 24
  • Tue. 2/16
    • Project 1 Due in class
    • Project 1 Presentations from 1/3 of class today
    • No quiz today
  • Wed. 2/17
  • Thu. 2/18
    • Exam 1
    • If you would like a printout of the solutions to Exam 1, please stop by!
Week 5
  • Mon. 2/22 (Notes.pdf) (Spreadsheet with graphs.pdf)
    • HW 13.1 #3-15 odd, 23, 36* (*use 35's answer in back of book)
    • Present tomorrow (Group 'A'): #3, 13, 36
  • Tue. 2/23 (Notes.pdf)
    • HW 13.2 #3, 9, 11, 19-24, 25-27, 51
    • HW 13.3 #3, 7
    • Present tomorrow (Group 'B'): 13.2 #24, 51 and 13.3 #7
  • Wed. 2/24 (Notes.pdf)
  • Thu. 2/25 (Notes.pdf)
    • HW: 13.3 #21-23, 29-34, 35-37 and 13.4 #1, 3, 5, 7, 20, 21
    • Present Monday: 13.3 #34, 37, and 13.4 #20
    • Note: Bolded problems can be done without "Chebyshev's theorem", which we didn't get to in class today. However, even through "Chebyshev's theorem has an odd name (for Westerners, at least), it is actually pretty simple to use in practice -- see if you can do the homework on these problems!
Week 6
(Project2.pdf)
(RandomRectangles.pdf)
  • Mon. 3/1 (No class)
  • Tue. 3/2 (Notes.pdf)
    • HW: 13.3 #21-23, 29-34 (from last time),
    • HW: 13.3 #38-43, 46, 47 (new), and
    • HW: 13.4 #18, 19, 22, 23, 25, 27, 34, and 41
    • Present tomorrow (Group 'E') 13.3 #41, and 13.4 #34 and 41.
  • Wed. 3/3 (Notes.pdf)
    • Sec. 13.5 #7-14, 15, 17, 45, 47, 56-60.
    • Present tomorrow (Group 'B') 13.5 #10, 14, 60
    • Podcast for #7-10
  • Thu. 3/4 (Notes.pdf)
    • Sec. 13.5 #19-22, 23, 25, 37-40.
    • Present Monday (Group 'C') 13.5 #22, 23, 38
Week 7
  • Mon. 3/8 (Notes.pdf)
    • HW 7.1 (p. 318, 'For Group Discussion') #1-3.
    • HW 7.1 #3-6, 17, 19, 39, 51, 53, 55, 57.
    • HW 8.2 #41, 43, 45, 47(a-f), 65(a,b).
    • Present tomorrow (Group 'D') 7.1 [p. 318 #1-3], #17, and 8.2 #65
  • Tue. 3/9 (Notes.pdf)
    • HW 8.3 #21, 33, 35, 67
    • HW 13.6 11-13 (by hand, create a 'best fit line' by eye), and #21-24, 25-28 [use a computer / calculator to find the least squares regression line and the coefficient of correlation r].
    • Present tomorrow (Group 'E') 8.3 #33, and 13.6 #[11-13] and #[25-28]
  • Wed. 3/10 (Notes.pdf)
    • HW p. 776-777 #5, 6, 7, 9, 12, 13-16.
    • Present tomorrow #9, 12, 16
  • Thu. 3/11 (Notes.pdf)
    • Quiz on Mon. & Tue. content
    • Project 2 checkpoint day! Be prepare to report on your ideas and progress today!
Spring Break Spring Break!!
Week 8
(Exam2Review.pdf)
(Exam2Review.ans.pdf)
  • Mon. 3/22 (Notes.pdf)
    • Homework (Complete by Wednesday):
      • 1. Go to the National Library of Virtual Manipulatives (NLVM) and access the applet we viewed today in class. Have the computer generate five problems, and solve them using the online applet.
      • 2. Still using the NLVM Algebra Balance Scale applet, select "Create Problem" and enter the following problems (one at a time). Solve each problem using efficient and inefficient sequences of steps. Does it matter which way you proceed?
        • a) 4x - 8 = 0 (e.g., try this sequence: divide by 2, add 4, divide by 2.) (vs. this sequence: add 8, divide by 4)
        • b) 3x - 2 = x + 2 (Make a sketch showing three different sequences of steps; which one is most efficient? Which is least efficient?)
    • Present (Group 'C') on Wednesday #2a and 2b, above.
  • Tue. 3/23 - Project 2 presentations; Project 2 is Due.
  • Wed. 3/24 - Review for Exam 2 (Notes.pdf)
    • See the link under "Week 8" (left) for review problems and solutions.
  • Thu. 3/25 - Exam 2
  • If you would like a printout of the answer key for Exam 2, please stop by!
Week 9
  • Mon. 3/29 (Notes.pdf)
    • Homework: For sequences (1) thru (4), find the next term in the sequence. Then classify the sequence as (a) arithmetic, (q) quadratic, or (o) other. Finally, if the sequence is arithmetic, give an explicit rule yn for the nth term. Otherwise, write a recursive rule for the sequence.
      •  11, 13, 15, 17, ...
      • 18, 15, 12, 9, ...
      • 1, 1, 2, 4, 7, 11, 16, ...
      • 4, 8, 14, 22, ...
    • For sequences (5) and (6), find the pattern and state the next three terms in the sequence.
      • 2, 3, 6, 12, 22, 37, ...
      • 1, 11, 21, 1211, 111221, 312211, ...
  • Tue. 3/30 (Notes.pdf)
    • Homework:
      • 1. Plot each sequence that was assigned last time on a coordinate grid. Plot n on the horizontal axis, and plot yn on the vertical axis.
      • 2. State the domain and range of each sequence plotted in #1.
      • 3. Do Sec. 8.4 #1-5 all, 17, 19, 25, 27, 31-32, 41, 47, 55, 57.
    • Present Tomorrow (Group "E"):
      • #2, above -- domain and range of (3): 1,1,2,4,7,11,16, ...,
      • and  #31 and #47.
  • Wed. 3/31 (Notes.pdf)
    • HW 8.1 #9, 27, 29 odd, 31-35 odd, 38, 47, 49, 53, 57, 59, 61-63
    • Present Thursday (Group A): 9, 57, 62
    • Group quiz tomorrow
  • Thu. 4/1 (Notes.pdf)
    • Present Monday (Group B): #2, 3, and 6 from the group quiz assigned today.
Week 10
  • Mon. 4/5 (Notes.pdf)
    • HW 8.7 #3-21 odd, 25, 27, 32
    • Present Tomorrow (Group C): #15, 19, 25
  • Tue. 4/6 (Notes.pdf)
    • HW 8.7 #53, 59, 60, 67, 69, 72, 77, 79
    • Present Tomorrow (Group D): #60, 72, 77
  • Wed. 4/7 (Notes.pdf)
    • HW 8.7 #33, 34, 35, 37, 45, 81, 83
    • Present Tomorrow (Group E): #33, 34, 83
  • Thu. 4/8 (Notes.pdf)
    • HW 8.8 #1, 3, 5, 9, 13, 17, 21, 23, 27, 35, 36
    • Present Monday (Group A): #21, 35, 36
Week 11
(Project3 - Algebra.pdf)
(Project3 Rubric.pdf)
(Excel_Loans Podcast)
  • Mon. 4/12 (Notes.pdf)
    • HW 7.6 #5, 11, 15, 18, 19, 23, 33, 37, 47, 51, 53, 59, 63, 64, 71, 75, 79, 91, 92, 99, 100
    • Present Tomorrow (Group B): #23, 37, 92
  • Tue. 4/13 (Notes.pdf)
    • HW Sec. 7.6 #[47, 51, 53] --> (factor each using both CFQ and the Tic-tac-toe method!)
    • HW Sec. 8.1 #39, 41, and 43 (complete the square)
    • HW: Spend some time thinking about your project 3 topic!
    • Present Tomorrow (Group C): 7.6 #51, 53, and 8.1 #43 (if possible)
  • Wed. 4/14 (Notes.pdf)
    • Homework: 7.7 #11, 14, 31, 39, [43, 45, 47], 49
    • Also revisit 8.1 #39, 41, and 43 (complete the square) as needed.
    • Present Thursday (Group D): 7.7 #14, [43, 45, 47], and 49
  • Thu. 4/15 (Notes.pdf)
    • Homework: Sec. 7.7 #3, 4, 44, 46, 48, 53, 55, 59
    • Present Monday (Group E): 7.7 # [44, 46, 48], 55, 59
Week 12
(Exam3_Review.pdf)
  • Mon. 4/19
    • Homework: 7.5 #23, 25, 35, 39, 41, 43, 47, 49, 59, 61, 69, 71, 73, 75, 85, 97
    • Present Wednesday (Group A): #49, 61, 97.
  • Tue. 4/20 - Project 3 Due (Presentations Today).
  • Wed. 4/21 - Review day - (Exam3_Review.pdf, and Partial Answer Key.pdf).
  • Thu. 4/22 - Exam 3
Week 13
  • Mon. 4/26 (Notes.pdf)
    • Homework 8.5 #1-6, 11, 15, 47, 49, 53, 58, plus in-class problem solving task.
    • Present tomorrow (Group C) #47, 49, 53
    • Problem solving worksheet.pdf (answers.pdf)
  • Tue. 4/27 (Notes.pdf)
    • Homework 8.6 #1-4, 37-40, 45, 47, 49, 50, 51, 57
    • Present tomorrow (Group D) #50, 51, 57
  • Wed. 4/28 (Notes.pdf)
  • Thu. 4/29 (Notes.pdf)
    • Quiz today on quadratics or exponential functions.
    • Homework: Sec. 15.1 #29, 31, 58*, and Sec. 15.2 #9-10, 37-39 
    • * Just read #58 -- no need to write a paper, but wouldn't that be a neat middle school math & literature lesson?
    • Here's today's Graph Theory Activity.pdf.
    • Present Monday (Group A): #29bc, 31ab, and 15.2 #38
Week 14