MTH05: Elementary Algebra

A32 (46058)

Tuesdays and Thursdays: 10:00 am - 11:50 am at Brown Annex 207
Fridays: 10: 00 am - 11:50am at CPH 320
 

 

Date Materials HW assignment
05/19
CP 320
Preparing for CEAFE  
05/18 BA 207 Preparing for CEAFE  
05/16
BA 207
Test 4

The Test will cover:
    Chapter 2: TBA
    Chapter 3: TBA
    Chapter 4: TBA
    Chapter 5: TBA
    Chapter 6: all sections
    Chapter 7: all sections
 
05/12
CP 320
Plan:
  • Preparing for Test 4

  • working on homeworks
 
05/11
BA 207
topic: 7.2 Introduction to Parabolas
HW 37-Introduction to Parabolas(due date: 05/16)
at WeBWork
05/09
BA 207
topics:
Section 6.3 Complex Numbers
Section 7.1 Solving Quadratic Equations (completing the square and quadratic forumula)

Here are links to the videos and practices (with hints and solutions) from Khan Academy: 1) https://www.khanacademy.org/math/precalculus/imaginary-and-complex-numbers/the-imaginary-numbers/v/introduction-to-i-and-imaginary-numbers

2) https://youtu.be/T647CGsuOVU

3) more coming

HW 34-Complex-Numbers,
HW 35-Solving-Quadratic Equations by Completing the Square,
HW 36-The Quadratic Formula
(due date: 05/16)
at WeBWork
05/05
CP 320
Section 6.2 Operations on Radicals
working on HWs
HW 33-Radicals-Operations,
(due date: 05/12)
at WeBWork
05/04
BA 207
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: 05/12)
at WeBWork
05/02
BA 207
Test 3

The Test will cover:
    Chapter 2: Section 2.1
    Chapter 3: Sections 3.1, 3.3, 3.4
    Chapter 4: 4.3, 4.4
    Chapter 5: all sections
 
04/28
CP 320
Plan:
  • Preparing for Test 3

  • working on homeworks
 
04/27
BA 207
topics:
Section 5.7 Solving Quadrtics Equations by Factoring
Section 5.8 Solving Word Problems Using Quadratic Equations
HW 30-Factoring-Solving Quadratic Equations
(due date: 05/05)

at WeBWork
04/25
BA 207
topics: Factoring polynomials
Section 5.6.4 - 5.6.5 Factoring Trinomials
Section 5.6.6 Summary
HW 29-Factoring-Trinomials
(due date: 05/02)

at WeBWork
04/21
CP 320
Plan:
  • A quick review of topics from Sections 5.3 - 5.6.3

  • working on homeworks
 
04/07
CP 320
working on homeworks

For the Spring Break:

1) Go over questions 1-12, 13(a, d, e, g) from the Departmental Review;

2) If you have a Departmental Review handout that I distributed in class, then you also have two Old Sample Finals made by CUNY attached, with answers and solutions. You can do problems 4-7, 10-14, 18-23 from each of them;

3) Go over questions 4-9, 11-16, 19-25 in all three Sample Final Exams from CUNY:
Sample-CEAFE-C-1.pdf, Sample-CEAFE-D-1.pdf, Sample-CEAFE-E-1.pdf;

4) Work on the homeworks 28-28
HW 28-Factoring-Special Products
(due date: 04/28)

at WeBWork
04/06
BA 207
topics:
Section 5.5 Division of polinomials 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
(due date: 04/28)

at WeBWork
04/04
BA 207
topics:
Section 5.3 Adding and Subtracting Polynomials,
Section 5.4 Multiplying Polynomials
HW 26-Polynomials-Adding Subtracting Multiplying Dividing
(due date: 04/28)

at WeBWork
03/31
CP 320
topic:
Section 5.2 An introduction to polynomials
HW 25-Polynomial-Introduction
(due date: 04/07)

at WeBWork
03/30
BA 207
topic:
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: 04/07)

at WeBWork
03/28
BA 207
Test 2
see more details in Tests and Final Exam
 
03/24
CP 320
Preparing for Test 2 (Sample Test 2 at WeBWork)
see more details in Tests and Final Exam
 
03/23
BA 207
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: 03/31)

at WeBWork
03/21
BA 207
topics:
Section 4.7 Systems of linear equations (continue)
Section 4.6 Graphing linear inequalities in two variables

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 21-Solving Systems of Linear Equations
(due date: 03/31)

at WeBWork
03/17
CP 320
working on homeworks  
03/16
BA 207
topics:
Section 4.5 Equations of lines (few more examples),
Section 4.7 Systems of linear equations (solving by graphing, by elimination and substitution methods)

The Midterm Grade will be comprised of:
Homeworks (1-18): 40%
Test 1 score: 60%

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 20-Graphing Systems of Linear Equations
(due date: 03/24)

at WeBWork
03/14
BA 207
no class, college was closed due to the snow storm  
03/10
CP 320
working on homeworks  
03/09
BA 207
topics:
Section 4.5 Equations of lines (continues)



HW 18-Lines-Equations,
(due date: 03/17)

at WeBWork
03/07
BA 207
topics:
Section 4.4 The slope of a line
Section 4.5 Equations of lines (will not finish)



HW 17-Lines - Slope (due date: 03/14) (due date changed to 03/17)

at WeBWork
03/03
CP 320
finishing up Test 1, working on homeworks  
03/02
BA 207
topics:
Section 4.2 The cartesian coordinate system
Section 4.3 Graphing linear equations

Online resources:
1) Cartesian coordinate system
2) graphing video example 1 (pick a value for one variable, find another one)
3) graphing video example 2 (intercepts method)
4) graphing video example 3 (slope-intercept method)

Preliminary date for Test 2 is Tuesday, 03/21

HW 15-The Cartisian Coordinate System,
HW 16-Lines-Graphing

(due date: 03/10)

at WeBWork
02/28
BA 207
Test 1
see more details in Tests and Final Exam
 
02/24
CP 320
Review - Sample Test 1
see more details in Tests and Final Exam
 
02/23
BA 207
topics:
Section 4.1 Linear equations in two variables

Online resources:
1) Two-variable linear equations intro (see also a bunch of other video examples and practice in the left menu)
HW 14-Two Variable Equations
(due date: 03/03)

at WeBWork
02/21
BA 207
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 Tuesday, 02/28
Pactice/review will be on Friday, 02/24
More information about Test 1 can be found here
HW 10-Formulas,
HW 13-Solving Linear Inequalities

(due date: 02/26)

at WeBWork
02/17
CP 320
working on Homeworks 5 (due tonight), 6, 7 (due 02/21), and 9 (due 02/24)  
02/16
BA 207
topic: 3.1 Solving Linear Equations

Online resource:
There is a bunch of videos and practices for this here: Algebra I: one variable linear equations.
HW09-Solving Linear Equations
(due date: 09/24) at WeBWork
02/14
BA 207
topics: Sections 3.2.1 Transition to Algebra,
2.2 Evaluating algebraic expressions

Online resources:
1) Writing basic expressions with variables (video example)
2) Writing basic expressions with variables (summary, not a video)
3) Writing basic expressions with variables (guided practice)
4) Writing expressions with variables (another bunch of video examples)
5) Writing expressions with variables (guided practice)
6) Writing expressions with variables & parentheses (video example)

There will be no classes on Monday, Februrary 13th (Lincoln's Birthday),
and Wednesday, February 15th will run on Wednesday's schedule.

HW 06-Transition to Algebra,
HW 07-Evaluating Algebraic Expressions (due date: 02/21) at WeBWork
02/10
CP 320
topics: Sections 1.4.1-1.4.2 (ignore radicals for now) Exponents and Radicals, and
2.1 Order of operations

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)


There will be no classes on Monday, Februrary 13th (Lincoln's Birthday)
 
HW 05-Exponents and Order of Operations (due date: 21/17)

at WeBWork

 
02/09 classes were cancelled due to snow storm  
02/07 topics: 1.2 Addition and Subtraction of Real Numbers,
1.3 Multiplying and Dividing Real Numbers

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)
9) Negative number word problem: temperatures (video example)
10) Multiplying positive & negative numbers (video, 5:43 mins)
11) Multiplying numbers with different signs (video example)
12) Dividing positive and negative numbers (video, 4:51)
13) Multiplying and dividing negative numbers (rules, video, 8:29 mins)
14) Multiplying & dividing negative numbers (guided practice)
HW 02-Real Numbers-Introduction,
HW 03-Real Numbers-Adding and Subtracting ,
HW 04-Real Numbers-Multiplying and Dividing
(due date: 02/14)
at WeBWork

 
02/03
CP320
topics:1.1 Review of Fractions (finishing up)
HW 01-Review of Fractions
(due date: Friday, 02/10)
at WeBWork
02/02 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)
HW 01-Review of Fractions
(due date: Friday, 02/10)
at WeBWork
01/31
Welcome to the 1st day of classes!!!

here is the MTH01 review sheet we went over today: MTH01 review
answers: AnswersToMth01Review

link to our Textbook: textbook
no HW assignment yet, but please visit our WeBWork system.