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Please navigate the site, read the information and discuss it here.

Real life applications of rational equations

Discussion: Where do you see the applications with rational equations in everyday life?

Use the link to the textbook for examples as a reference, and reply: https://openstax.org/books/intermediate-algebra-2e/pages/7-5-solve-applications-with-rational-equations

Consider these points:

A- How are links working?

1- Look at the links provided for the Mat 1275 Curse Hab

2- Links to the video resources and lessons

3- Links to the two textbooks from OpenStax

4- Other links provided

https://goo.gl/forms/kTPHmUYBieBiQZJA2

B- How is the site Organized

1- Are all necesary elements included

2- Is it easy to nevigate

3- Is there something that is not nescessary to be there

4- Other suggestions about the course site

C- Syllabus, policies, schedules etc

1- Do you have any questions, unclarity about the department outline

2- Do you agree with the rules, grading policies, etc

3- Is there any suggestions in terms of rules and policies that needs to be considered

D- Any other suggestions is welcomed

Discussions

Discussion 3

Explore the STEM Project item (under the menu in this course).

1- Read carefully all the information provided including the STEM application examples, the previous classes examples, the task, rubric, etc.

2-Watch videos and take short notes

3- Discuss here:

a- What was the most impressive thing that you learned, a project that you saw, or any other thing that you would like to share

b-Share anything that you may be planning to explore more about, and/or include in your STEM project. (Topic, application, video, picture, etc)

c) Pick the Topic that you will be working on your individual or group project

Discussion 2

Bring your own example of real-life applications using quadratic functions or equations.

Also, please create the groups for the STEM application Project

Discussion 1

Please navigate the site, read the information and discuss it here.

http://mathww.citytech.cuny.edu/webwork2/MAT1275-F21-Mingla-OL40/

Real-life applications of rational equations

Discussion: Where do you see the applications with rational equations in everyday life?

Use the link to the textbook for examples as a reference, and reply: https://openstax.org/books/intermediate-algebra-2e/pages/7-5-solve-applications-with-rational-equations

This image has an empty alt attribute; its file name is Capture.png

Agenda

https://openlab.citytech.cuny.edu/math1275videolibrary/syllabus-with-links-to-videos/

11/23/2021

8.1 Graphing sine and cosine

Videos

Desmos activity

11/18/2021

7.3 Unit Circle

7.4 Other Trigonometric Functions

Videos here (top page)

Webwork assignments

Ongoing discussions and working on the STEM application Project

11/16/21

7.1 Angles

7.2 Right triangles trigonometry

Quiz on webwork

STEM project and discussions on Blackboard

11/9/2021

10.4 Properties of Logarithms

Video resources

11/4/2021

Evaluate and graph logarithmic functions

Webwork assignments

Video resources

One minute reflection paper (bb)

11/2/exponential functions

10/28/Exam 2

10/26/2021

11.5 Solve Systems of Nonlinear Equations

Video resources

Webwork assignment

Discussion group project

10/21/2021

11.1 Distance and Midpoint Formulas; Circles

Webwork assignments

Video resources

10/19/2021

9.6 Graph Quadratic Functions Using Properties

9.7 Graph Quadratic Functions Using Transformations

Webwork assignments

Video resources

10/14/2021

9.5 Solve Applications of Quadratic Equations

Videos and webwork assignments

10/12/2021

Lessons

9.1 Solving quadratics using the square root property

9.2 Solving quadratics using Completing the square

9.3 Solving quadratics using quadratic formula

Videos and webwork assignments

Discussion

Bring one example of real-life applications of quadratic equations

10/7/2021

8.8 Use the Complex Number System

10/7/2021

8.8 Use the Complex Number System

agenda

Videos

https://screencast-o-matic.com/watch/cbnVYfQRK8

https://screencast-o-matic.com/watch/cbnQf06h1i

Webwork assignment

One minute reflection paper

STEM application of complex numbers

 

10/05/2021

Solving radical equations

Webwork assignment

Video resources

09/30/2021

Exam 1 on webwork

09/28/2021

8.4 Multiplying Radical Expressions

Review for Exam 1 (Webwork)

Webwork assignments

09/23/2021

Topic(s):

Simplify Radical Expressions

Add, Subtract,and Multiply Radical Expressions

Webwork assignments

Watch Videos (Links on top of this page)

Quiz

09/21/2021

 

From the schedule

Topic (S) :

Simplify Expressions with Roots HigherRoots
HigherRoots-Algebraic

Watch videos posted on the Video resources

One minute reflection paper (Blackboard)

09/14/2021

Course schedule

Topic: Solving Rational Equations & Applications with rational equations

Liks o the lessons are on the course schedule

Watch videos posted on the Video resources

Discussion: Where do you see the applications with rational equations in everyday life

use the link to the textbook for examples as a reference, and reply: https://openstax.org/books/intermediate-algebra-2e/pages/7-5-solve-applications-with-rational-equations

08/26/2021 First Day of Class

First Day of Class (8/26/21)

Topic: 3×3 SYSTEMS OF LINEAR EQUATIONS

OpenStax Textbook: Read Section 4.4 All Examples

Video Resources:https://openlab.citytech.cuny.edu/math1275videolibrary/systems-of-three-linear-equations-and-three-variables/

Webwork assignment: 3×3 systems

Other Assignment:

1-Open Lab Introduce yourself

2- Read Carefully the Syllabus & Policies

3- Make sure you have signed up on the Open Lab Course Site and navigate to get used to it.

8/31/21

1-Polynomial Equations https://openstax.org/books/intermediate-algebra-2e/pages/6-5-polynomial-equations

2-Webwork assignment: Zero product property

3-Other Assignment: One-minute reflection paper (Please submit on Bb)

4- Please visit the course hab and video resources for additional support related to the topic.

https://openlab.citytech.cuny.edu/math1275videolibrary/solving-quadratic-equations-by-factoring/

08/26/2021 First Day of Class

Topic: 3×3 SYSTEMS OF LINEAR EQUATIONS

OpenStax Textbook: Read Section 4.4 All Examples

Video Resources:https://openlab.citytech.cuny.edu/math1275videolibrary/systems-of-three-linear-equations-and-three-variables/

Webwork assignment: 3×3 systems

Other Assignment:

1-Open Lab Introduce yourself

2- Read Carefully the Syllabus & Policies

3- Make sure you have signed up on the Open Lab Course Site and navigate to get used to it.

 

Day 2

1-Polynomial Equations https://openstax.org/books/intermediate-algebra-2e/pages/6-5-polynomial-equations

2-Webwork assignment: Zero product property

3-Other Assignment: One-minute reflection paper (Please submit on Bb)

4- Course hab and video resources for additional support related to the topic.

Syllabus With Links to Videos

MAT 1275 College Algebra and Trigonometry Text: McGraw-Hill Custom Textbook containing material from Intermediate Algebra, 5th ed., by Miller, O’Neill, and Hyde (Sessions 1-16 and 26-29) and Trigonometry, 2nd ed., by Coburn (Sessions 18-25).    
Class  Topic Section Homework/ WeBWorK Problems Video Resource
1 Properties of Integer Exponents   Addition and Subtraction of Rational Expressions Section 4.1, p.320-324   Section 5.3, p.437-444 p.327: 11-29 odd, 33, 35, 41, 47, 63, 67, 75 p.445: 7-23, 27-49 odd
IntegerExponents ReducingRationalExpressions AddRationalExpressions AddRationalExpressions2		 Properties of Integer Exponents   Adding and Subtracting Rational Expressions   Multiplying and Dividing Rational Expressions (review)
 2 Complex Fractions Section 5.4, p.447-452 p.452: 9-15,17-23 odd, 31,33
ComplexFractions-Method1 ComplexFractions-Method2		 Complex Fractions
3 Solving Rational Equations Section 5.5, p.454-460 p.460: 9-33 odd
FractionalEquations		 Solving Rational Equations
4 Roots Section 6.1, p.496-502   Section 6.2, p.508-512 p.505: 9-37 odd, 59, 65, 67, 79 p.513: 9, 13, 17, 19, 25, 29, 33, 41, 45, 53, 65, 73, 81, 93
HigherRoots HigherRoots-Algebraic RationalExponents		 Introduction to Rational Exponents and Radicals
5 Simplifying Radical Expressions Addition and Subtraction of Radicals Section 6.3, p.515-519 Section 6.4, p.522-525  p.520: 9, 13, 17, 21, 25, 33, 39, 55, 59, 63, 79 p.526: 15, 19, 23, 35, 37, 41, 51, 55, 57, 61, 81
SimplifyingRadicals AddSubtractRadicals		 Roots and Radicals—Simplifying Radical Expressions I (review) Adding and Subtracting Radical Expressions
6 Multiplication of Radicals Section 6.5, p.528-532 p.534: 11, 17, 19, 21, 23, 25, 29, 31, 35, 37, 55, 57, 61, 63, 67, 77, 79, 87
MultiplyRadicals		 Multiplication of Radicals
7 Division of Radicals and Rationalization Section 6.6, p.536-543 (skip Ex. 4 and 6)  p.544: 11, 13, 17, 21, 31, 35, 39, 53, 57, 63, 67, 71, 77, 81   Division of Radicals and Rationalization
8 Solving Radical Equations Section 6.7, p.546-549 p.554: 13-18, 25-28, 41-46
RadicalEquations		 Solving Radical Equations
 9 First Examination Complex Numbers     Section 6.8, p.557-563     p.564: 15-27, 31-35, 53-57, 61-69, 81-89 odd
ComplexNumbers		   Complex Numbers
10 Solving Equations by Using the Zero Product Rule Square Root Property and Completing the Square Section 4.8 p.394-396 (skip Ex. 2) Section 7.1, p.582-587 p.404: 21-40   p.589: 3-19, 27-33, 37-53 odd
SquareRootProperty		 Factoring and the Zero Product Rule (review) Square Root Property Completing the Square
11 Quadratic Formula Section 7.2, p.592-594, 596-602  (Derive the quadratic formula) p.603: 9-25, 49-55 odd, 69, 73, 77, 81, 85
QuadraticFormula		 Quadratic Formula
12 Applications of Quadratic Equations Section 4.8, p.398-400 Section 7.2, p.594-595 p.405: 65, 69, 71, 73, 75 p.603: 39-47 odd   Applications of Quadratic Equations
13 Graphs of Quadratic Functions Section 7.4, p.612-620   Section 7.5, p.626-630 p.621: 11-15, 19-23, 29-35, 45, 47, 51-61 odd p.633: 17-23 odd, 29, 31, 37, 41, 43
ShiftingParabolas ParabolaVertices ParabolaVertices-CtS
ParabolaVertices-VertexFormula
 Graphs of Quadratic Functions & Vertex of a Parabola
14 Distance Formula, Midpoint Formula, and Circles Perpendicular Bisector Section 9.1, p.754-759   p.760: 5, 9, 11, 13, 23-31 odd, 39, 41, 45, 61, 63, 65, 69, 75   Supplemental Problems on Perpendicular Bisector
DistanceFormula Circles		 Pythagorean Theorem (review!) Distance Formula Midpoint Formula Circles Perpendicular Bisectors
15 Systems of Linear Equations in Three Variables Section 3.6, p.283-289  p.290: 11-17 odd, 21, 23, 27, 35-39 odd
3×3-Systems		 Linear Systems of Three Variables
16 Determinants and Cramer’s Rule (optional) Nonlinear Systems of Equations in Two Variables Appendix A.1, p. A-1 to A-9 Section 9.4, p. 784-788 p.A-10: 35-45 odd, 49, 55, 57 p.790:  23-37 odd, 49
NonLinearSystems		 Determinants and Cramer’s Rule Nonlinear Systems of Equations
17 Midterm Examination      
18 Angle Measure and Special Triangles The Trigonometry of Right Triangles Section 1.1, p.2-6   Section 2.1, p.46-50    p.7:  45-57 odd   p.51: 7-21 odd
SpecialTriangles TrigonometryRatios		 Trigonometry of Right Triangles Special Triangles
19 Solving Right Triangles   Applications of Static Trigonometry Section 2.2, p.54-56 Section 2.3, p.63-66 p.57: 7-47 odd p.69: 35-38
SolvingRightTriangles
SolvingRightTriangles-InverseTrig
 See videos from lesson 18.
20 Angle Measure in Radian   Trigonometry and the Coordinate Plane Section 3.1, p.90-93   Section 1.3, p.22-27  p.95: 25-39 odd, 43, 45, 49-61 odd, 67-71 odd   p.28: 25-31 odd, 45, 47, 55-63 odd, 64, 73-79 odd
AngleMeasure-Radians CoordinatePlaneTrig		 Angle Measure in Radians
21 Unit Circle Section 3.3, p.108-113 p.115: 29-35 odd, 37-40
UnitCircle		 Unit Circle
22 Graphs of the Sine and Cosine Functions Graphs of Tangent and Cotangent Functions (optional) Section 4.1, p.134-144 Section 4.2, p. 153-159 p.145: 1-3, 17-29 odd, 33-39 odd p.160: 15, 19, 21, 39, 43, 47
GraphingSineCosine		 Graphs of Sine, Cosine, and Tangent
23 Fundamental Identities and Families of Identities Section 1.4, p.31-35 Section 5.1, p.212-214 p.35: 11-37 odd   p.216: 13-29 odd, 37, 43, 51   Pythagorean Identity (The Fundamental Identity of Trigonometry)
24 Trigonometric Equations Section 6.3, p.284-290 p.292: 13, 17, 21, 25, 31, 35, 43-49 odd, 79, 80
TrigEquations		 (Basic) Trigonometric Equations
25 Oblique Triangles and the Law of Sines The Law of Cosines Section 7.1, p.316-322 Section 7.2, p.329-332 p.324: 7-23 odd   p.338: 7-11 odd, 21-29 odd
LawOfSines LawOfCosines		 Law of Sines Law of Cosines
26 Third Examination Exponential Functions Subsections 8.3.1, 8.3.2, 8.3.4., p.680-686  p.687: 9-25 odd, 43, 49
ExponentialFunctions		 Exponential Functions
27 Logarithmic Functions Section 8.4, p.690-693 and Ex. 8, 9 p.699: 11-61 odd
LogarithmicFunctions		 Logarithmic Functions
28 Properties of Logarithms   Compound Interest Section 8.5, p. 704-709   Section 8.6, p.712-715 (skip Ex. 3) p.710: 17-29 odd, 45-55 odd, 63-64, 67-71, 79, 81, 91 p.721: 11, 13
LogarithmicProperties CompoundInterest		   Properties of Logarithms Compound Interest
29 Logarithmic and Exponential Equations Section 8.7, p.726-734 p.735: 39-49 odd, 55-61 odd, 73, 75, 77, 79, 87
ExponentialEquations ExponentialEquations-Calc		 Exponential Equations
30 Final Examination     Selected final exam review questions
                                                            

08/26/2021 First Day of Class

Topic: 3×3 SYSTEMS OF LINEAR EQUATIONS

OpenStax Textbook: Read Section 4.4 All Examples

Video Resources:https://openlab.citytech.cuny.edu/math1275videolibrary/systems-of-three-linear-equations-and-three-variables/

Webwork assignment: 3×3 systems

Other Assignment:

1-Open Lab Introduce yourself

2- Read Carefully the Syllabus & Policies

3- Make sure you have signed up on the Open Lab Course Site and navigate to get used to it.

 

Day 2

1-Polynomial Equations https://openstax.org/books/intermediate-algebra-2e/pages/6-5-polynomial-equations

2-Webwork assignment: Zero product property

3-Other Assignment: One-minute reflection paper (Please submit on Bb)

4- Course hab and video resources for additional support related to the topic.

     

Session 3    9/2/2021

1-

5.2 Properties of Exponents and Scientic Notation  7.2 Add andSubtract RationalExpressions

2- Quiz Webwork

3-Webwork assignments:

IntegerExponents

ReducingRationalExpressions

 AddRationalExpressions AddRationalExpressions2

4-Video resources

 

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Feel free to talk about yourself in a way that you want to introduce and interact with others. This is our environment, our online course space where we will find important information and will share valuable ideas. We will share our successes and fears with each other and help each other grow. The sense of belonging doesn’t come that easily and without effort. Share your stories, challenges, and great experiences that are inspirational,  and motivate others to work in the way you do. Please consider these points:

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