MTH05: Elementary Algebra

B 26 (43584)
Mondays, Wednesdays: 10:00 am - 11:50 am at NI 211A, and
Fridays: 10:00 am - 11:50 am at CPH 320 (computer lab)
  

 

Date Materials HW assignment
Week 1
01/29 Welcome to the 1st day of class!!!

topic: 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: Monday, 02/05)
at WeBWork
01/31
topics:1.1 Review of Fractions (finishing up)
 
02/02
lab
introduction to WeBWorks and working on HW 01  
Week 2
02/05 topic: 1.2 Addition and Subtraction of Real Numbers (covering subtraction)
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)
HW 02-Real Numbers-Introduction,
HW 03-Real Numbers-Adding and Subtracting
,
(due date: Monday, 02/12)
at WeBWorks

HW 04-Real Numbers-Multiplying and Dividing
(due date: Monday, 02/14)
at WeBWorks
02/07 topics:
1.4.1-1.4.2 (ignore radicals for now) Exponents and Radicals, and
2.1 Order of operations

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)
6) Intro to order of operations (video, 9:39 mins)
7) Order of operations (video example)
8) Order of operations 2 (video example)
9) Order of operations (guided practice)
HW 05-Exponents and Order of Operations
(due date: Wednesday, 02/14)
at WeBWorks
02/09
lab
working on homeworks

Sample Test 1 is available at WeBWorks
 
Week 3

College is closed on Monday, February 12th
02/14
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)
HW 06-Transition to Algebra,
HW 07-Evaluating Algebraic Expressions
(due date: Tuesday, 02/20)
at WeBWorks
02/16
lab
working on homeworks  
Week 4

College is closed on Monday, February 19th,
Tuesday, February 20th runs on Monday schedule.
02/20
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: Friday, 02/23)
at WeBWorks
02/21
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 Wednesday, 09/27
Pactice/review/sample test will be on Tuesday, 09/26

More information about Test 1 can be found in Tests and Final Exam
HW 10-Formulas,
HW 13-Solving Linear Inequalities

(due date: Friday, 03/02)
at WeBWorks
02/23
lab
working on Sample Test 1 and homeworks  
Week 5
02/26
Test 1
 
02/28
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: TBA)
03/02
lab
working on homeworks  
Week 6
03/05 topics: Section 4.3 Graphing linear equations
working on homeworks

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: TBA)
03/07
topics:
Section 4.4 The slope of a line
HW 17-Lines - Slope
(due date: TBA)
03/09
lab
working on homeworks  
Week 7
03/12 topics:
Section 4.5 Equations of lines

Lecture slides: MTH05_4_4Slope-4_5ThePointSlopeForm.pdf

working on homeworks
 
03/14
topics:
Section 4.5 Equations of lines (finishing up)
HW 18-Lines-Equations,
(due date: TBA)
03/09
lab
working on homeworks  
Week 8

topics:
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): 50%
Test 1 score: 50%

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

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
  working on homeworks  

topic:
Section 4.7 Systems of linear equations: example with fractions and word problems,
getting ready for Test 2 (a set of guided practice exercises) + HWs discussion


Week 9

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
  working on homeworks, Preparing for Test 2 (Sample Test 2 at WeBWork)
see more details in Tests and Final Exam
 

Test 2  
Week 10
  topics:
Section 5.1 Integer Exponents
Section 5.2 An introduction to polynomials

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,
HW 25-Polynomial-Introduction

(due date: Tuesday, 11/07)
  working on homeworks  

topic:
Section 5.3 Adding and Subtracting Polynomials,
Section 5.4 Multiplying Polynomials
HW 26-Polynomials-Adding Subtracting Multiplying Dividing
Nov 5, 2017 - Daylight Saving Time Ends
Sunday, November 5, 2017, 2:00:00 am clocks are turned backward 1 hour to Sunday, November 5, 2017, 1:00:00 am local standard time instead.
Week 11

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
  working on homeworks  
  topics: Factoring polynomials
Section 5.6.4 - 5.6.5 Factoring Trinomials
Section 5.6.6 Summary
HW 29-Factoring-Trinomials
Week 12

topics:
Section 5.7 Solving Quadratic Equations by Factoring
Section 5.8 Solving Word Problems Using Quadratic Equations
HW 30-Factoring-Solving Quadratic Equations
  working on homeworks  
  Review/Sample Test 3  
Week 13
  Test 3  
     

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

Week 14
  topics:
Section 6.1 Roots and Radicals (Pythagorean Theorem and Distance Formula)
Section 6.2 Operations on Radicals
HW 33-Radicals-Operations
  working on HWs no HW assignment

topic:
Section 6.3 Complex Numbers

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


Suggested for practice:
HW 34-Complex-Numbers
Week 15

topic:
Section 7.1 Solving Quadratic Equations (completing the square and quadratic formula)

Suggested for practice
HW 35-Solving-Quadratic Equations by Completing the Square,
HW 36-The Quadratic Formula HW 37-Introduction to Parabolas
  Section 7.2 Introduction to Parabolas
Test 4 practice

slides: MTH05_7_2IntroductionToParabolas.pdf
 
  Test 4  
Week 16
  Final Exam Practice  
  Final Exam Practice