MTH05: Elementary Algebra

D19 (52870)
Mondays, Wednesdays: 12:00 pm - 1:50 pm at NI 300B
Tuesdays: 12:00 pm - 1:50 pm at ME 318
  

 
Here is an approximateplan of our meetings, topics to be covered and HW assignments:

Date Materials HW assignment
Week 1
08/27 Welcome to the 1st day of classes!!!

topics: 1.1 Review of Fractions

Online resources:
1) Adding and subtracting fractions with unlike denominators, adding and subtracting mixed numbers: start with this video and go over other videos and guided practice (marked with the star) - you will see the menu on the left.
2) Multiplying fractions (video example)
3) Multiplying fractions (guided practice)
4) Multiplying fractions and whole numbers (video example)
5) Multiplying fractions and mixed numbers (video example)
6) Multiplying fractions and mixed numbers (guided practice)
7) Dividing fractions by fractions 1 (video example)
8) Dividing fractions by fractions 2 (video example)
9) Dividing fractions by fractions (guided exercise)
10) Simplifying fractions (guided practice)
11) LCD (bunch of videos, starting with this one)
12) Comparing fractions (start with this one and proceed further)
13) Adding and subtracting mixed number with unlike denominators: start with this video, then proceed further
14) Multiplying mixed numbers (video example)
15) Multiplying mixed numbers (guided practice)
 HW0:
(due date: Wednesday, 08/28)
1) check if you got an e-mail from me
2) visit this web-site
3) login into the WeBWork online homework system
08/28 topics: 1.1 Review of Fractions (finishing up) HW 01-Review of Fractions
(due date: Friday, 09/06)
at WeBWork
 
Week 2
09/02 Labor Day. College is closed, no classes  
09/03 topic: 1.2 Addition and Subtraction of Real Numbers

Announcement: starting from next week we will be meeting in a computer lab ME 318 on Tuesdays

Online resources:
1) Intro to negative numbers (video, 9:35 mins)
2) Intro to negative numbers (guided practice)
3) Adding/subtracting negative numbers (video, 9:15 mins)
4) Adding negative numbers example (video example)
5) Adding numbers with different signs (video example)
6) Adding negative numbers (guided practice)
7) Subtracting a negative = adding a positive (video, 1:32 mins)
8) Subtracting negative numbers (guided practice)

 HW 02-Real Numbers-Introduction,
HW 03-Real Numbers-Adding and Subtracting ,
(due date: Tuesday, 09/10)
at WeBWork
09/04 topics:
1.3 Multiplying and Dividing Real Numbers
1.4.1-1.4.2 (ignore radicals for now) Exponents and Radicals, and


Online resources:
1) Multiplying positive & negative numbers (video, 5:43 mins)
2) Multiplying numbers with different signs (video example)
3) Dividing positive and negative numbers (video, 4:51)
4) Multiplying and dividing negative numbers (rules, video, 8:29 mins)
5) Multiplying & dividing negative numbers (guided practice)
 HW 04-Real Numbers-Multiplying and Dividing

(due date: Friday, 09/13)

at WeBWork
09/05
 BCC follows Monday schedule!
topics:2.1 Order of operations
3.2.1 Transition to Algebra,


Online resources: 1) Intro to order of operations (video, 9:39 mins)
2) Order of operations (video example)
3) Order of operations 2 (video example)
4) Order of operations (guided practice)
5) Writing basic expressions with variables (video example)
6) Writing basic expressions with variables (summary, not a video)
7) Writing basic expressions with variables (guided practice)
8) Writing expressions with variables (another bunch of video examples)
9) Writing expressions with variables (guided practice)
10) Writing expressions with variables & parentheses (video example)
 HW 05-Exponents and Order of Operations
(due date: Friday, 09/13)

HW 06-Transition to Algebra,
(due date: Tuesday, 09/17) at WeBWork
Week 3
09/09
 topics: 2.2 Evaluating algebraic expressions
3.1 Solving Linear Equations

Online resource:
There is a bunch of videos and practices for this here: Algebra I: one variable linear equations.
HW 07-Evaluating Algebraic Expressions
(due date: Tuesday, 09/17) at WeBWork
09/10
lab: ME 318 		working on homeworks  
09/11
 topics: HWs 6-7 discussion,
  3.1 Solving Linear Equations(equations with fractions, word problems)		 HW09-Solving Linear Equations
(due date: Friday, 09/20) at WeBWork
Week 4
09/16
 topics: 3.3 Literal Equations,
3.4 Linear Inequalities in One Variable

Online resources:
1) one video example, then you can see Practice option in the left menu.
2) manipulating formulas (and more in the left menu)
3) One-variable linear inequalities (a bunch of video examples and practice)

All the material we covered so far will be on Test 1, which will be on Monday, 09/23 or on Tuesday, 09/24
Pactice/review/sample test will be on Tuesday, 09/17

More information about Test 1 can be found in Tests and Final Exam		 HW 10-Formulas,
HW 13-Solving Linear Inequalities
(due date: Friday, 09/27)

at WeBWork
09/17
lab: ME 318 		working on homeworks  
09/18 topics:
Section 6.1 Roots and Radicals

Here are the links to the Khan Academy, covering radicals:
1) https://www.khanacademy.org/math/algebra-basics/basic-alg-foundations/alg-basics-roots/v/introduction-to-square-roots

2) https://www.khanacademy.org/math/algebra-home/alg-exp-and-log/alg-simplify-radical-expressions/v/simplifying-square-roots-1

3) https://www.khanacademy.org/math/pre-algebra/pre-algebra-exponents-radicals/pre-algebra-cube-root/v/introduction-to-cube-roots

You will see on the left a list/menu of video lectures and practices (with hints and solutions).
This covers Sections 6.1 and 6.2.
In the second link, from the list/menu on the left, ignore "Worked example: rationalizing the denominator" and "Simplifying radical expressions (addition)" videos- they are with variables.		 HW 31-Radicals - Introduction,
HW 32-Radicals - Simplifying
(due date: TBA)
at WeBWork
Week 5
09/23 preparing for Test 1  
09/24
lab		 Test 1
see more information about the test in Tests and Final Exam		  
09/25
 Test 1 discussion

recommended post-test work:
1) go over the questions you got wrong
2) practice on similar questions on Sample Test 1 at the WeBWorK
3) at some point I will give you an opportunity to re-take the test 1 online, but you will be given a very short notice and it will only be announced in a class meeting.

topics: Section 4.1 Linear equations in two variables
Section 4.2 The cartesian coordinate system

Online resources:
1) Two-variable linear equations intro (see also a bunch of other video examples and practice in the left menu)
2) Cartesian coordinate system
 HW 14-Two Variable Equations
HW 15-The Cartisian Coordinate System,
 (due date: Tuesday, October 8th)

at WeBWork
Week 6
09/30
 Rosh Hashanah (no classes at BCC)
10/01 lab
 Rosh Hashanah (no classes at BCC)
10/02
 topics: Section 4.3 Graphing linear equations
Section 4.4 The slope of a line(started, will finish covering on Monday)

lecture slides: 4_3GraphingLinearEquations.pdf

Online resources:
1) graphing video example 1 (pick a value for one variable, find another one)
2) graphing video example 2 (intercepts method)
3) graphing video example 3 (slope-intercept method)
 HW 16-Lines-Graphing
(due date: Friday, October 11th)

at WeBWork
Week 7
10/07 topics:
Section 4.4 The slope of a line(finishing up)
Section 4.5 Equations of lines (started)

Lecture slides: MTH05_4_4Slope-4_5ThePointSlopeForm.pdf
 HW 17-Lines - Slope
(due date: Tuesday, October 15th)

at WeBWork
10/08
 Yom Kipur, no classes at BCC  
10/09
 Yom Kipur, no classes at BCC  
Week 8
10/14
 Columbus Day, BCC is closed  
10/15
lab		 working on homeworks  
10/16
 BCC follows Monday schedule

topics:
Section 4.5 Equations of lines (finishing up)

Here are some nice videos and interactive practice that cover today's material:
Solving systems of linear equations by graphing:
lecture (9 mins):
https://www.khanacademy.org/math/algebra-basics/core-algebra-systems/core-algebra-systems-tutorial/v/solving-linear-systems-by-graphing
practice:
https://www.khanacademy.org/math/algebra-basics/core-algebra-systems/core-algebra-systems-tutorial/e/graphing_systems_of_equations
HW 18-Lines-Equations,
(due date: Tuesday, October 22nd)

at WeBWork
Week 9
10/21
 topic:
Section 4.7 Systems of linear equations (solving by graphing, by elimination and substitution methods)

Here are some nice videos and interactive practice that cover today's material:
Solving systems of linear equations by elimination and substitution methods:
lectures:
https://www.khanacademy.org/math/algebra-basics/core-algebra-systems/core-algebra-systems-tutorial/v/solving-linear-systems-by-substitution (10 mins) ,
https://www.khanacademy.org/math/algebra-basics/core-algebra-systems/core-algebra-systems-tutorial/v/solving-systems-of-equations-by-elimination(13 mins)
https://www.khanacademy.org/math/algebra-basics/core-algebra-systems/core-algebra-systems-tutorial/v/solving-systems-of-equations-by-multiplication (12 mins)
practice: https://www.khanacademy.org/math/algebra-basics/core-algebra-systems/core-algebra-systems-tutorial/e/systems_of_equations
 HW 20-Graphing Systems of Linear Equations
HW 21-Solving Systems of Linear Equations
(due date: Friday, October 25th)

at WeBWork
10/22
lab		 working on homeworks  
10/23
 topic: Section 4.6 Graphing linear inequalities in two variables

Here are some videos for refreshing your memory/review:
Introduction to graphing linear inequalities in two variables (<=):
https://www.khanacademy.org/math/algebra-basics/core-algebra-graphing-lines-slope/core-algebra-graphing-linear-inequalities/v/graphing-inequalities
Example 2 (<):
https://www.khanacademy.org/math/algebra-basics/core-algebra-graphing-lines-slope/core-algebra-graphing-linear-inequalities/v/graphing-linear-inequalities-in-two-variables-example-2
Example 3 (<):
https://www.khanacademy.org/math/algebra-basics/core-algebra-graphing-lines-slope/core-algebra-graphing-linear-inequalities/v/graphing-inequalities-2

 HW 19-Linear Inequalities in Two Variables
(due date: Friday, November 1st)

at WeBWork
Week 10
10/28 Preparing for Test 2
The Midterm Grade will be comprised of:

Homeworks (1-18): 50%
Tests 1 and 2 average: 50%		  
10/29 lab Test 2  
10/30 topics:
Section 5.1 Integer Exponents

Online resources:
1) 5^3 (video),
2) 6*6*6*6*6*6*6*6 = 6^8 (video),
3) practice: intro to exponents,
4) (-2)^3 and raising numbers to powers 1 and 0		 HW 22-Positive Integer Exponents,
HW 23-Negative Integer Exponents(due date: Tuesday, 11/05)

at WeBWork
Week 11
11/04
 topic:
Section 5.2 An introduction to polynomials
Section 5.3 Adding and Subtracting Polynomials,
Section 5.4 Multiplying Polynomials
 HW 25-Polynomial-Introduction,
HW 26-Polynomials-Adding Subtracting Multiplying Dividing
(due date: Tuesday, 11/12)

at WeBWork
11/05
lab		 working on homeworks  
11/06
 topics:
Section 5.5 Division of polynomials by monomials
Factoring polynomials:
Section 5.6.1 The Greatest Common Factor
Section 5.6.2 The Grouping Method
Section 5.6.3 Special Products		 HW 27-Factoring-Introduction
HW 28-Factoring-Special Products
(due date: Friday, 11/15)

at WeBWork
Week 12
11/11 topics: Factoring polynomials
Section 5.6.4 - 5.6.5 Factoring Trinomials
Section 5.6.6 Summary		 HW 29-Factoring-Trinomials
(due date: Tuesday, 11/19)

at WeBWork
11/12
lab		 working on homeworks  
11/13
 topics:
Section 5.7 Solving Quadratic Equations by Factoring
Section 5.8 Solving Word Problems Using Quadratic Equations		 HW 30-Factoring-Solving Quadratic Equations
(due date: Friday, 11/22)

at WeBWork
Week 13
11/18 Review (preparing for Test 3)  
11/19 working on homeworks  
11/20
 Test 3
  
Week 14
11/25 topic:
Section 6.1 Roots and Radicals

Here are the links to the Khan Academy, covering radicals:
1) https://www.khanacademy.org/math/algebra-basics/basic-alg-foundations/alg-basics-roots/v/introduction-to-square-roots

2) https://www.khanacademy.org/math/algebra-home/alg-exp-and-log/alg-simplify-radical-expressions/v/simplifying-square-roots-1

3) https://www.khanacademy.org/math/pre-algebra/pre-algebra-exponents-radicals/pre-algebra-cube-root/v/introduction-to-cube-roots

You will see on the left a list/menu of video lectures and practices (with hints and solutions).
This covers Sections 6.1 and 6.2.
In the second link, from the list/menu on the left, ignore "Worked example: rationalizing the denominator" and "Simplifying radical expressions (addition)" videos- they are with variables.

 HW 31-Radicals - Introduction,
HW 32-Radicals - Simplifying
(due date: Tuesday, 12/03)
at WeBWork
11/26
lab		 working on HWs  
11/27
 Section 6.2 Operations on Radicals HW 33-Radicals-Operations
(due date: Friday, 12/06)
at WeBWork
Week 15
12/02
 Final Exam Review
  
12/03
lab		 working on homeworks  
12/04 Final Exam Practice  
Week 16
12/09 Final Exam Practice  
12/10
lab		 Final Exam Practice  
12/11 Test 4