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Math 139 Advanced Algebra for Teachers Fall 2014.

Tentative class schedule with homework assignments

 Date 

Daily Agenda and Reading Assignments

Homework Portfolio problems

Lecture materials/DQ topics for next class

Aug.21

-Course Introduction.

-Read Expressions and Equations-CH1

-Review factoring with the ac-method.

-Systems of equations solution types.

-Lecture examples of solving linear inequalities problems graphically.

-Group activity (p.21; 1.4) Nice example of a potential type of test question!

-Skim Quadratic Equations-CH2 for next class preparation.

COURSE: MATH 139 | Advanced Algebra for Middle School Teachers
INSTRUCTOR(S): Lance Burger
INSTITUTION: California State University - Fresno

TEXT: Advanced Algebra for Teachers (Revised Edition)
PRINT PRICE: $51.95
DIGITAL PRICE: $46.95

Best to order through publisher here.

 

pp. 20-21.

#1: 1.1(v)

#2: 1.2(i)

#3: 1.2(iv)

#4: 1.2(vii)

#5: 1.2(x)

First 3 chapters of text (order your text right away!)

 

DQ1 possible topics summary:

a) Factor a trinomial using the ac-method.

b) Solve a system of inequalities graphically as in the homework.

Aug.26

-Student homework presentations.

-Quadratic Equations-CH2

-Proof of the Quadratic Formula.

-Lecture examples of solving quadratic equations.

 

pp. 30-31.

#6: 2.2 (ii)

#7: 2.2 (iv)

#8: 2.2 (v)

 

 

DQ2- Like homework.

Aug. 28

-Student homework presentations.

-Quadratic formula proof activity.

-Lecture examples of working with the quadratic formula and completing the square.

-Introduction to Geogebra and visual interpretations of quadratic formula.

-DQ1

#9: 2.3 (ii)

#10: 2.3 (iii)

#11: 2.4 (ii)

#12: 2.4 (vi)

#13: 2.4 (viii)

#14: 2.5 (i)

#15: 2.6

#16: 2.8(i)-(iv)

#17: 2.9

#18: 2.10

DQ3- Like homework.

Sept..2

-Student homework presentations.

-Graphing Parabolas using standard form.

-Relations and Functions-CH3

 

-DQ3

#19: Put the equation y = 3x^2+12x-5 into standard form and sketch its graph.

#20: 3.4 (b), (f).

#21: 3.4 (h), (i)

#22: 3.6 (a)

#23: 3.6 (b)

#24: 3.6 (c)

#25: 3.9

 

DQ4- Like homework, or perhaps solving a complex valued quadratic equation, as in previous homework.
Sept. 4

-Relations and Functions-CH3

-DQ4

#26: 3.10 (a)-(c)

#27: 3.12

#28: 3.16 (b)

#29: 3.16 (c)

#30: 3.16 (d)

DQ5- Like previous and tonight's homework.
Sept. 9

-Polynomials-CH4

-Intro. to base-x

-DQ5

p.66

#31: 4.1

#32: 4.2

DQ6 - Like DQ#5.
Sept. 11

-Polynomials-CH4

-DQ6

p.67

#33: 4.10

#34: 4.11

p.68

#35: 4.14

#36: 4.17

DQ7 - Like Chapter 4 homework.
Sept. 16

-Polynomials-CH4

-Assymptotes I

-DQ7

   
Sept. 18

 

Work on Midterm 1 Study guide (handed out in class)

 

Note that the Assymptote Ch. 4 material is postponed until Midterm 2.

Team-Test Builder Roster:

Eduardo
Ashley
John
Brett
Sarah
Carissa
Meng
Michael
Mariana
Kasey
Carmen
JuneMarie
Sheyla
Taren
Elizabeth
Sovorn

Sept. 23  

Midterm 1on Chapters 1-4

 
Sept.25

-Polynomials-CH4

-Assymptotes II

Lecture Slides on Graphing Rational Functions

M1 Solutions

#'s 37-42: Graphing Rational Functions Worksheet (Note: on the next exam and final, graphing calculators are not allowed!)

DQ8 Graph a rational function without a calculator.
Sept.30

-Class presentations of Rational function worksheet.

-Timed DQ8.

-Permutations and Combinations using letter arrangments.

-Binomial Expansion-CH5

DQ#8 and all future daily quizzes will be timed quizzes after review and class presentations. For today's quiz you will have 20 minutes to complete it. (Keep in mind that leaving early from class would greatly jeapardize your understanding for the timed daily quiz during the next class. You should be studying a minimum of 1-2 hours between classes.)

p.75

#43. 5.4

#44. 5.5

#45. 5.6

 

DQ9 Graph a rational function without a calculator (reloaded!).
Oct.2

-Homework presentations.

-Timed DQ9.

-Example like #46.

#46. 5.16 DQ10 Binomial expansion problem.
Oct.7

-Radicals-CH6

-Middle term problems/intro to row reduction.

-Timed DQ10.

 

 

#47. 6.1 (b)(e)

#48. 6.2 (c); 6.3 (c)

#49. 6.3 (d)

#50. 6.3 (f)

#51. 6.3 (j)

#52. 6.5

#53. 6.6

 
Oct.9  

No Class- (I am away on University business.) There is a lot of homework assigned, so get busy as there are plenty of opportunities to present on the 14th.

Note: Many of you have not presented at all. You are running out of time!!! Remember I am not adding 0's to those scores, so your grades look artificially inflated. Blackboard only computes the grade when it is entered. If nothing is entered, it is not counting the assignment yet.

 
Oct.14

-Homework Presentations

-Function Placemat Activity

DQ10 Student Solutions DQ11 Solve radical, exponential and/or logarithmic equations.
Oct.16

-Exponential and Logarithmic Functions-CH7

Properties of Logarithms/proofs

Exponent combination proofs using logarithm properties

 

Timed DQ11.

#54. 7.3

#55. 7.4 (iii)

#56. 7.4 (iv)

#57. 7.4 (v)

#58. 7.7 (d) (f) (g)

#59 7.8 (c)

#60. 7.9 (c) (g)

#61. 7.10 (c) (d)

#62 7.10 (f) (g)

#63. 7.11 (b) (d)

DQ12 Solve radical, exponential and/or logarithmic equations
Oct.21

-go over DQ11 (some pretty serious errors in solving radical equations - Snape is not happy :(

-Homework Presentations

-Logarithm activities

-Summary Worksheet

Pre-randomly selected groups for logarithm card game:

Hawks

  • Michael
  • John
  • Sovorn
  • Taren

Eagles

  • Elizabeth
  • Mariana
  • Ashley
  • Carissa

Kites

  • Sarah
  • Sheyla
  • Meng
  • Carmen

Ospreys

  • Brett
  • Eduardo
  • JuneMarie
  • Kasey

 

 
Oct.23

- Parent Functions Activity

-Group work on Summative Assessment sheet.

-Timed DQ12 on radical equations AND logarithmic equations.

 

 

 

MIDTERM 2 PARTNERS! (THESE TEAMS WERE OBTAINED FROM ONE SELECTION AFTER I PICKED THE CARD GAME GROUPS!)

Team 1

  • Michael
  • Sheyla

Team 2

  • Meng
  • Carissa

Team 3

  • Brett
  • Carmen

Team 4

  • Mariana
  • JuneMarie

Team 5

  • Sarah
  • Taren

Team 6

  • Eduardo
  • John

Team 7

  • Kasey
  • Elizabeth

Team 8

  • Sovorn
  • Ashley

 

Eduardo
Ashley
John
Brett
Sarah
Carissa
Meng
Michael
Mariana
Kasey
Carmen
JuneMarie
Sheyla
Taren
Elizabeth
Sovorn
Oct.28  

Study Guide - Class Collaborative Review with your exam partner.

 

 
Oct.30  

Midterm 2 on Chapters 4(assymptotes), and 5-7/Halloween Pizza Party

(1-3pts extra credit if you wear a costume, depending on the complexity: 5 pts if you win the costume contest as judged by the class BEFORE the exam!)

M2 Study Problem brief answers

Winners of the costume contest were: Sarah East and June Parra!

VARIOUS SOLUTIONS HERE

 

Nov.4 -CH8 Linear Algebra: Intro. to matrices

#64. 8.1 (c), (i).

#65. 8.1 (m)

#66. 8.3

#67. 8.15

#68. 8.22

#69 8.24

#70. 8.25

#71. 8.28

#72. 8.34

#73. 8.36

#74. 8.39 (c)

 
Nov.6 -CH8 Systems of Equations    
Nov.11  

NO CLASS - VETERAN'S DAY

 
Nov.13 -CH8 Vectors

Online student evaluations can be completed now and should be on your Black Board as a task. You have until Dec. 5th to complete the course evaluation and also earn 3 pts extra credit for your final exam grade!

 
Nov.18 -CH 8/Linear Algebra HMK presentations

Here are the team assignments for the next midterm (randomly generated in 1 and only 1 attempt before class!):

Some of you might be doing your happy dance now!!!

Oxygen

  • Meng
  • Taren

Hydrogen

  • Elizabeth
  • Brett

Helium

  • Kasey
  • John

Carbon

  • Eduardo
  • Sheyla

Neon

  • Sovorn
  • Michael

Copper

  • Ashley
  • Carissa

Zinc

  • Mariana
  • Sarah

Cobalt

  • JuneMarie
  • Carmen

final group of homework portfolio problems for Chapter 8:

#75. 8.51

#76. 8.28

#77. 8.55

#78. 8.59(i)

#79. 8.39 (c)

#80. 8.62

 
Nov.20 -CH9 Mathematical Induction Lecture problems  
Nov.25 -CH9 Mathematical Induction

#81. 9.26 (d)

#82. 9.28

#83. 9.30

#84. 9.33

 
Nov.27 -CH10 Algebraic Structures

#85. 10.18

#86. 10.23

#87. 10.24

#88. 10.27

 
Dec.2  

Student presentations - Q-n-A session on Midterm 3 material

Midterm 3 basic outline:

Question 1: Matrix decoding problem --- finding inverse, using matrix arithmetic to even get the coding matrix (like in a previous quiz where you had to do matrix arithmetic to get vectors for finding cross product.

Question 2: Linear Combination problem --- can you determine if a set of vectors are independent or dependent? Can you find a linear combination of some vectors to make another vector?

Question 3: Induction proof (either of divisibility type or summation type)

Question 4: A mystery induction proof to see if you got the concept.

Question 5: Cross-product & Dot product--- might involve scaling (finding a unit vector and stretching to another length) Finding a vector perpendicular to two other vectors, proving the vector is indeed perpendicular.

Question 6: Conceptual questions about Groups, Rings and Fields. Do you know the basic differences and definitions?

 
Dec.4  

Midterm 3 on Chapters 8-10

 
Dec.9  

Review of final exam study guide with emphasis on student presentations of problems-last chance to finish your 5 teaching presentations!

Final Exam basic outline (but potentially any question-type from all previous midterms is possible!)

I plan to solve or sketch solutions to most of these problems in class tonight. If you have questions, you should come to the FC day in my office this Thursday.

 
Dec.11

Faculty Consultation Day/Thursday: 12-3pm. in PB 338.

Dec.18

Thursday FINAL EXAM in S2 207 from 8:00-10:00 PM

This page was last revised on 9 December 2014.

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