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Mth 112 Precalculus Algebra
Dual Enrollment: SMHS/SSCC
Classwork and Homework Information

Mr. Cantlin's Classes - Semester 1 - 2012

  • Note: Q# = Quarter 1, 2, 3, or 4. W# = Week 1, 2, 3, ...

Q2 W18 12/21/12 Friday
Class:
Math Enrichment - topic TBD..

Homework:
(1.) None.
Q2 W18 12/20/12 Thursday
Class:
Math Enrichment - topic TBD..

Homework:
(1.) None.
Q2 W18 12/19/12 Wednesday
Class:
Math Enrichment - topic TBD..

Homework:
(1.) None.
Q2 W18 12/18/12 Tuesday
Class:
Math Enrichment - topic TBD..

Homework:
(1.) None.
Q2 W18 12/17/12 Monday
Class:
Math Enrichment - topic TBD..

Homework:
(1.) None.
Q2 W17 12/14/12 Friday
Class:
Math Enrichment - topic TBD..

Homework:
(1.) None.
Q2 W17 12/13/12 Thursday
Class:
Math Enrichment - topic TBD..

Homework:
(1.) None.
Q2 W17 12/12/12 Wednesday
Class:
Fanal Exam - Parts 2 and 3.

Part 2 = no calculators, Part 3 = scientific calculator needed.

Homework:
(1.) None.
Q2 W17 12/11/12 Tuesday
Class:
Fanal Exam - Part 1.

Part 1 = no calculators.

Homework:
(1.) None.
Q2 W17 12/10/12 Monday
Class:
Practice for final exam.

Homework:
(1.) Study/practice for final exam (starts tomorrow).
Q2 W16 12/7/12 Friday
Class:
Practice for final exam.

A couple of web sites of interest:

Professor Walter Lewin's Physics I "Classical Mechanics" course at MIT:
http://ocw.mit.edu/high-school/introductory-mit-courses/physics/

MIT admission statistics (is it easy to get in?):
http://mitadmissions.org/apply/process/stats

The hardest colleges to get in - a list:
http://colleges.usnews.rankingsandreviews.com/best-colleges/rankings/lowest-acceptance-rate?src=stats

Homework:
(1.) Study/practice for final exam (week 17).
Q2 W16 12/6/12 Thursday
Class:
Practice for final exam.

Homework:
(1.) Study/practice for final exam (week 17).
Q2 W16 12/5/12 Wednesday
Class:
Practice for final exam.

Video prerequisite: Homework:
(1.) Study/practice for final exam (week 17).
Q2 W16 12/4/12 Tuesday
Class:
Practice for final exam.

Video prerequisite: Homework:
(1.) Study/practice for final exam (week 17).
Q2 W16 12/3/12 Monday
Class: (today's class notes - click here - to be posted after class)
Practice for final exam.

Video prerequisite: Homework:
(1.) Study/practice for final exam (week 17).
Q2 W15 11/30/12 Friday
Class:
Practice for final exam.

Video prerequisite: Homework:
(1.) Study/practice for final exam (week 17).
Q2 W15 11/29/12 Thursday
Class:
Need scientific, but not graphing, calculator.

Exam 4 - Part 2.

Homework:
(1.) None.
Q2 W15 11/28/12 Wednesday
Class:
Need scientific, but not graphing, calculator.

Exam 4 - Part 1.

Homework:
(1.) None.
Q2 W15 11/27/12 Tuesday
Class: (today's class notes - click here - to be posted after class)
Practice Worksheet No. 2 for Exam 4 - click here for copy.

Homework:
(1.) Study/practice for Exam 4.
Q2 W15 11/26/12 Monday
Class: (today's class notes - click here - to be posted after class)
Practice Worksheet No. 2 for Exam 4 - click here for copy.

Homework:
(1.) Study/practice for Exam 4.
Q2 W14 11/23/12 Friday

No School - Thanksgiving Holiday.

Q2 W14 11/22/12 Thursday

No School - Thanksgiving Holiday.

Q2 W14 11/21/12 Wednesday

No School - Thanksgiving Holiday.

Q2 W14 11/20/12 Tuesday
Class: (today's class notes - click here - to be posted after class)
Practice Worksheet for Exam 4 - click here for copy.

Note: Exam 4 will be next week, i.e., after Thanksgiving Break (Week 15).

Homework:
(1.) Practice for Exam 4.
Q2 W14 11/19/12 Monday
Class: (today's class notes - click here - to be posted after class)
Practice for Exam 4 (Ch. 10, 11).

Practice Worksheet for Exam 4 - click here for copy.

Video Prerequisite: Homework:
(1.) Practice for Exam 4.
Q2 W13 11/16/12 Friday
Class:
Sem. 1 Quiz 5.

Homework:
(1.) None.
Q2 W13 11/15/12 Thursday
Class: (today's class notes - click here - to be posted after class)
Review homework.

Practice/review: Ch. 11.

Practice Week 13 Worksheet - Ch. 11-6 Exponential Equations - click here for copy.

Homework:
(1.) Practice for Ch. 11 quiz.
Q2 W13 11/14/12 Wednesday
Class: (today's class notes - see Tues. class)
Review homework.

Practice/review: Ch. 11.

Homework:
(1.) Practice for Ch. 11 quiz.
Q2 W13 11/13/12 Tuesday
Class: (today's class notes - click here)
11.3 Properties of Logarithms.

11.6 Exponential Equations.

Video Prerequisite: Homework:
(1.) Ch. 11-3 Pg. 496: 1-13 odd, 19-29 odd, 49,51,53,57,59,65.
(2.) Ch. 11-6 Pg. 510: 1-9 odd.
Q2 W13 11/12/12 Monday

No School - Veteran's Day Holiday.

Q2 W12 11/9/12 Friday
Class:
Quiz 4.

Homework:
(1.) None.
Q2 W12 11/8/12 Thursday
Class: (today's class notes - click here - to be posted after class)
Practice: Ch. 11 Problems.

Practice Worksheet - Ch. 11 - click here for copy.

Homework:
(1.) Study for quiz.
Q2 W12 11/7/12 Wednesday
Class:
Review homework.

Applications: Earthquake magnitude and interest problems.

Earthquake-Interest Problem Handout - click here for copy.

The logarithmic spiral: Homework:
(1.) Earthquake-Interest Problem Handout Problems - click here for copy.
Q2 W12 11/6/12 Tuesday
Class: (today's class notes - click here - to be posted after class)
Review homework.

11.4 The Common Logarithms.

11.5 Logarithms to the Base "e" (inc. changes of base).

Homework:
(1.) Ch. 11-4 Pg. 501: 1-11 odd.
(2.) Ch. 11-5 Pg. 507: 1-17 odd.
Q2 W12 11/5/12 Monday
Class: (today's class notes - click here - to be posted after class)
11.1 The Exponential Function.

11.2 The Logarithm.

Video Prerequisites: Homework:
(1.) Ch. 11-1 Pg. 486: 1,5.
(2.) Ch. 11-2 Pg. 491: 1,3,7,13,15,19,23,41,45,49,51.
Q2 W11 11/2/12 Friday
Class:
Review and practice: polynomial functions.

Homework:
(1.) Practice: polynomial functions.
Q2 W11 11/1/12 Thursday
Class:
Review and practice: polynomial functions.

Homework:
(1.) Practice: polynomial functions.
Q2 W11 10/31/12 Wednesday
Class: (today's class notes - click here)
Review homework.

Ch. 10-4 Graphing Polynomial Functions.

Homework:
(1.) Ch. 10-4 Pg. 465: 13,14.
Q2 W11 10/30/12 Tuesday
Class: (today's class notes - click here)
Review homework.

Ch. 10-2 Rational Zeros of a Polynomial Function.

Ch. 4-6 Synthetic Division.

Homework:
(1.) Ch. 4-6 Pg. 195: 1, 3, 5, 8, 9, 11, 13.
(2.) Ch. 10-2 Pg. 451-452: 1,5,7,15,21.
Q2 W11 10/29/12 Monday
Class: (today's class notes - click here)
Ch. 10-1 Descartes Rule of Signs.

Finding the polynomial function given one or more zeros of the function.

Vocabulary: the multiplicity of a zero.

Video prerequisite: Homework:
(1.) Page 445, #1, 3, 21, 23, 33, 35.
Q2 W10 10/26/12 Friday
Class:
Exam 3 Part 2 of 2.

Homework:
(1.) None.
Q2 W10 10/25/12 Thursday
Class:
Exam 3 Part 1 of 2.

Homework:
(1.) None.
Q2 W10 10/24/12 Wednesday
Class: (today's class notes - click here - to be posted after class)
Practice for Exam 3 (Ch. 9, 12).

Homework:
(1.) Study/practice for Exam 3.
Q2 W10 10/23/12 Tuesday
Class: (today's class notes - click here - to be posted after class)
Practice for Exam 3 (Ch. 9, 12).

Homework:
(1.) Study/practice for Exam 3.
Q2 W10 10/22/12 Monday
Class: (today's class notes - click here - to be posted after class)
Begin Quarter 2.

In addition to knowing the equations and properties of the functions studied in chapters 9 and 12, be able to properly state their domain and range and x and y intercepts.

Practice for Exam 3 (Ch. 9, 12).

Video Prerequisite: Homework:
(1.) Study/practice for Exam 3.
Q1 W9 10/19/12 Friday
Class:
Week 9 Practice Worksheet - click here for copy.

ACT Practice.

Homework:
(1.) Practice for Exam 3.
Q1 W9 10/18/12 Thursday
Class:
Week 9 Practice Worksheet - click here for copy.

ACT Practice.

Homework:
(1.) Practice for Exam 3.
Q1 W9 10/17/12 Wednesday
Class:
Review homework.

Week 9 Practice Worksheet - click here for copy.

Homework:
(1.) Practice for Exam 3.
Q1 W9 10/16/12 Tuesday
Class: (today's class notes - click here - to be posted after class)
Review homework.

Ch. 12-4 Systems of Non-Linear Equations.

Homework:
(1.) Pg. 545: 1, 5, 9, 15, 21.
Q1 W9 10/15/12 Monday
Class: (today's class notes - click here - to be posted after class)
Ch. 12-1 Systems of Linear Equations in Two Variables.

Video Prerequisite: Homework:
(1.) Pg. 522: 1,5,19,21,27,39,57,59.
Q1 W8 10/12/12 Friday
Class:
Q1 Quiz3.

Homework:
(1.) None.
Q1 W8 10/11/12 Thursday
Class: (today's class notes - click here - to be posted after class)
Review homework.

Week 8 Practice Worksheet - click here for copy.

ACT practice.

Homework:
(1.) Study/practice for quiz.
Q1 W8 10/10/12 Wednesday
Class:
Review homework.

Ch. 9-4 The Ellipse and the Hyperbola (continued).

Week 8 Practice Worksheet - click here for copy.

Homework:
(1.) 431: 25, 31, 37, 39, 43-55 odd.
Q1 W8 10/9/12 Tuesday
Class: (today's class notes - click here - to be posted after class)
Review homework.

Ch. 9-4 The Ellipse and the Hyperbola.

Note: for the equations of the ellipse and hyperbola we will use:
in the ellipse the "a" term is always greater than the "b" term and c2 = a2 - b2,
in the hyperbola the "c" term is always greater or equal to the "a" or "b" term and c2 = a2 + b2.

Homework:
(1.) 429: 1,9,11, 15.
Q1 W8 10/8/12 Monday
Class: (today's class notes - click here - to be posted after class)
Ch. 9-3 The Circle.

Video Prerequisites: Homework:
(1.) Pg. 416: 1,5,11,13,15,17,21,33,37.
Q1 W7 10/5/12 Friday
Class: (today's class notes - click here - to be posted after class)
Practice graphing quadratics.

Re-review "Piecewise functions" - Example Page 374

Re-review "Even/odd functions" - Example Page 376

ACT/SAT review problems.

Homework:
(1.) Page 374: 35 to 38.
(2.) Page 376: 59 to 63.
Q1 W7 10/4/12 Thursday
Class: (today's class notes - click here - to be posted after class)
Practice graphing quadratics.

Intro. to Polynomial Long Division.

ACT/SAT review problems.

Homework:
(1.) None.
Q1 W7 10/3/12 Wednesday
Class: (today's class notes - click here - to be posted after class)
Review homework.

Practice graphing quadratics.

Practice Worksheet for Week 7 - click here for copy.

Homework:
(1.) Practice graphing quadratics.
Q1 W7 10/2/12 Tuesday
Class: (today's class notes - click here - to be posted after class)
Review homework.

9.2 Quadratic Relations - More About Parabolas..

Note: Quadratic Relations ==> "left-right" parabolas (x=y2).

Homework:
(1.) Pg. 412: 3, 10, 13, 19, 29.
Q1 W7 10/1/12 Monday
Class: (today's class notes - click here - to be posted after class)
9.1 Quadratic Functions - the Parabola.

Note: Quadratic Functions ==> "up-down" parabolas (y=x2).

Video Prerequisites: Homework:
(1.) Pg. 405: 13, 21 Pg. 406: 27, 34, 52.
Q1 W6 9/28/12 Friday
Class:
Exam 2 Part 2.

Homework:
(1.) None.
Q1 W6 9/27/12 Thursday
Class:
Exam 2 Part 1.

Homework:
(1.) None.
Q1 W6 9/26/12 Wednesday
Class: (today's class notes - click here - to be posted after class)
Review for Exam 2.

Ch. 7 Practice Test - click here for copy.

Ch. 8 Practice Test - click here for copy.

Homework:
(1.) Study for Exam 2.
Q1 W6 9/25/12 Tuesday
Class:
Review for Exam 2.

Ch. 7 Practice Test - click here for copy.

Ch. 8 Practice Test - click here for copy.

Homework:
(1.) Study for Exam 2.
Q1 W6 9/24/12 Monday
Class: (today's class notes - click here - to be posted after class)
Review for Exam 2 over Ch. 7 and 8.

Video Prerequisites: Homework:
(1.) Study for Exam 2.
Q1 W5 9/21/12 Friday
Class:
Q1 Quiz 2.

Homework:
(1.) None.
Q1 W5 9/20/12 Thursday
Class:
Practice problems: Ch. 7 & 8 for Quiz 2.

Week 5 Practice Problems Worksheet - click here for copy.

Homework:
(1.) Study for Quiz.
Q1 W5 9/19/12 Wednesday
Class: (today's class notes - click here - to be posted after class)
Review homework.

Practice problems: Ch. 7 & 8 for Quiz 2.

Week 5 Practice Problems Worksheet - click here for copy.

Homework:
(1.) Study for Quiz.
Q1 W5 9/18/12 Tuesday
Class: (today's class notes - click here - to be posted after class)
Review homework.

8.4 Inverse Functions.

Homework:
(1.) Pg. 383: 25, 31, & graph y=(x+2)3.
Q1 W5 9/17/12 Monday
Class:
8.3 Special Functions & Their Graphs (inc. graph of cube and cube root functions).

Video Prerequisites: Homework:
(1.) Pg. 374: 1, 3, 7, 11, 14.
Q1 W4 9/14/12 Friday
Class:
Ch. 7 & Ch. 8 Practice as needed.

Q1P5 Practice Worksheet - click here for copy.

ACT Practice.

Homework:
(1.) None.
Q1 W4 9/13/12 Thursday
Class: (today's class notes - click here - to be posted after class)
Ch. 7 & Ch. 8 Practice as needed.

Q1P5 Practice Worksheet - click here for copy.

ACT Practice.

Homework:
(1.) None.
Q1 W4 9/12/12 Wednesday
Class: (today's class notes - click here - to be posted after class)
Review homework.

8.1 Relations and Functions, Domain, Range.

8.2 Function Notation and Algebra of Functions.

Q1P5 Practice Worksheet - click here for copy.

Homework:
(1.) Pg. 354: 1-11 odd.
(2.) Pg. 356: 53-59 odd.
(3.) Pg. 363: 1-7 odd, 8, 16, 19.
Q1 W4 9/11/12 Tuesday
Class: (today's class notes - click here - to be posted after class)
Review homework.

7.4 Graphs of Linear Inequalities.

Review: solving absolute value inequalities.

Special Cases: graphs single variable absolute value linear inequalities on the x-y coordinate plane (see page 340 of textbook).

Homework:
(1.) Pg. 341: 1,3,9,11,17.
Q1 W4 9/10/12 Monday
Class: (today's class notes - click here - to be posted after class)
7.1 The Rectangular Coordinate System and Linear Graphs.

7.2 Distance & Midpoint Formulas, Slope of a Line, Parallel, Perpendicular Lines.

7.3 Finding the Equation of a Line.

Video Prerequisites: Homework:
(1.) Ch. 7-1, Pg. 311: 1-13 odd, 15,23,25,31,37,39.
(2.) Ch. 7-2, Pg. 324: 1,5,7,17,21,35.
(3.) Ch. 7-3, Pg. 333: 1,5,9,13,19,27,31,35,51,53,55.
Q1 W3 9/7/12 Friday
Class:
Exam 1 Part 2.

Homework:
(1.) None.
Q1 W3 9/6/12 Thursday
Class:
Exam 1 Part 1.

Homework:
(1.) None.
Q1 W3 9/5/12 Wednesday
Class: (today's class notes - click here - to be posted after class)
Review homework.

6.7 Quadratic and Rational Inequalities.

Q1P4 Practice Worksheet: Solving Equations in Quadratic Form and Solving Quadratic and Rational Inequalities -
click here for copy.

Homework:
(1.) Pg. 298: 1,3,9,19.
Q1 W3 9/4/12 Tuesday
Class: (today's class notes - click here - to be posted after class)
6.6 Equations that are Quadratic in "FORM".

Video Prerequisites: Set Builder Notation and Interval Notation - reference:
Regents Set Builder & Interval Notation Lesson Page.

Homework:
(1.) Pg. 292: 1,3,9,11,27.
(2.) Study set builder and internval notation.
Q1 W3 9/3/12 Monday

No School - Labor Day Holiday.

Q1 W2 8/31/12 Friday
Class: (today's class notes - click here - to be posted after class)
ACT Practice ==> mini topic review, practice questions.

Homework:
(1.) None.
Q1 W2 8/30/12 Thursday
Class:
Quiz 1 over Week 1 and 2 material.

Homework:
(1.) None.
Q1 W2 8/29/12 Wednesday
Class: (today's class notes - click here - to be posted after class)
Review homework.

Practice Worksheet Q1P3 - Quadratic Formula - Radical Equations.

Homework:
(1.) Continue Q1P3 Practice Problems.
Q1 W2 8/28/12 Tuesday
Class: (today's class notes - click here - to be posted after class)
Review homework.

Practice Worksheet Q1P3 - Quadratic Formula - Radical Equations.

Homework:
(1.) Continue Q1P3 Practice Problems.
Q1 W2 8/27/12 Monday
Class: (today's class notes - click here - to be posted after class)
Class Prerequisite Video(s): 6.3 Solve Quadratics by the Quadratic Formula.

6.5 Solve Radical Equations.

Homework:
(1.) Pg. 276: 1,5,7,21, 27.
(2.) Pg. 288: 1,5,9,29,33,47, 48
Q1 W1 8/24/12 Friday
Class: (today's class notes - click here - to be posted after class)
Practice problems/questions.
ACT Practice ==> mini topic review, practice questions.

Homework:
(1.) Practice Worksheet Q1P2 (ID2) - Week 1 Topics.
Q1 W1 8/23/12 Thursday
Class: (today's class notes - click here - to be posted after class)
Practice problems/questions.
ACT Practice ==> mini topic review, practice questions.

Practice Worksheet Q1P2 (ID2) - Week 1 Topics.

Homework:
(1.) Practice Worksheet Q1P2 (ID2) - Week 1 Topics.
Q1 W1 8/22/12 Wednesday
Class: (today's class notes - click here - to be posted after class)
Practice factoring quadratics, extracting root, and completing the square.

Practice Worksheet Q1P1 (ID1) - Week 1 Topics.

Homework:
(1.) Practice Worksheet Q1P1 (ID1)- Week 1 Topics.
(2.) Be able to complete the square on x2+bx+c=0 to get QF.
Q1 W1 8/21/12 Tuesday
Class: (today's class notes - click here - to be posted after class)

Class Prerequisite Video(s): 6.2 Solve quadratics by completing the square.

Homework:
(1.) Pg. 269: 13,17,27.
Q1 W1 8/20/12 Monday
Class: (today's class notes - click here - to be posted after class)

Class Prerequisite Video(s): 6.1 Solve quadratics by factoring & extracting roots. In this case, the roots (solutions) are always rational.

The "magic number" method is used to solve quadratics that can be factored, i.e., their discriminant b2-4ac is zero.

Extracting roots simply means the "b" term is 0 in ax2+bx+c=0 and you can solve this type of quadratic easiest by getting the squared term by itself and taking the square root of both sides to "extract the rooots". This always works when the linear term (the b term) is missing whether or not the quadratic is factorable. Depending on what is under the square root you may get rational, irrational, or complex roots.

Homework:
(1.) Pg. 264: 5,7,9, 11,15,19,31,35,39,43,45.

 
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