Category: Algebra

Here is the project description from your syllabus.
Description
Projects can take various forms, such as Zines, lecture videos, exams with solutions manuals/grading rubrics, and more. These projects allow you to demonstrate your mastery of the material in ways that suit your learning style. Zines: Create a visually engaging zine that explains key concepts from a selected section. Use illustrations, diagrams, and concise explanations to convey the material.
Lecture Videos: Develop a series of short lecture videos covering specific topics within a section. Explain concepts, provide examples, and guide viewers through problem-solving. (Most strongly recommended) Exams with Solutions Manuals and Grading Rubrics: Design a comprehensive exam that tests understanding of a particular section. Include a solutions manual with detailed explanations and a grading rubric for self-assessment. (Strongly recommended) Interactive Online Modules: Create interactive online modules using platforms like HTML, CSS, or JavaScript. Include animations, quizzes, and simulations to illustrate concepts from various sections.
Graphical Representations: Develop graphical representations, such as infographics or posters, to visually explain the relationships and applications of concepts within a section.
Educational Board Games: Create an educational board game centered around calculus concepts. Include rules, game pieces, and questions that reinforce learning through play. (Strongly recommended) Peer Teaching Sessions: Organize and lead a peer teaching session on a specific topic. Prepare materials, examples, and engage your classmates in the learning process. (Strongly recommended) Mathematical Modeling Project: Develop a mathematical model for a real-world problem, applying the principles of calculus. Present your model, assumptions, and conclusions. (Strongly recommended) Data Analysis Project: Collect and analyze data, applying calculus concepts to draw conclusions. Present your findings and explain how calculus contributes to the interpretation of data.
Artistic Expression: Express calculus concepts through art, whether it’s through paintings, sculptures, or digital art. Use creativity to convey mathematical ideas.
Programming Project: Develop a computer program or script that simulates a calculus concept. Showcase your coding skills in solving mathematical problems. (Strongly recommended) Effort
An individual project should take you about 1 day of work (3-6 hours). If a project takes more work, please let me know and we can consider counting it for more. Sharing
Your project will require a presentation unless it is a video. Also, all projects will be shared with the class.
Examples
Here is a great video explaining one of the more interesting topics later in the semester. https://youtu.be/x-D4PbwLEso
Second, here is a more fun and creative project.https://youtu.be/x-f7Cb67v6I

the Special Homework assignment:
Samuel, Rene, Hoang, Bailee, Nazgol, Lucas and Ryan are helping their fellow classmate Desmond search for a good deal regarding the purchase of a new Honda Accord automobile. After researching all the Honda dealers in this area, they have decided that they have found the best deal at Honda Cars of Rockwell, Texas.
The following is their best deal and they want to know what the monthly payment will be. The new Honda Accord is $36,250 and that includes an extended warranty, tax, title and license…(TT&L). To help reduce the cost of this purchase he will receive two discounts; one the Honda “Purchase Incentive” $500 off discount and the second is the College Student discount of $400. Jose has elected to make monthly payments for four years. He has a trade-in vehicle that will decrease his purchase cost of the new vehicle by $17,600. The Honda interest rate program is the best that he can find which is 3.9%.
All things considered Desmond is still hesitant to make the purchase. He cannot afford a monthly payment in excess of $400. John Freezer, General Manager of Honda Cars of Rockwall wants to help make Jose feel like he has the best price possible. Both Marcos and Julianna are also classmates of Desmond and they asked Mr. Freezer for anything else that can be done to make this car purchase possible. He decided to provide him an additional discount of .845% (.00845) and he rounded to the nearest dollar on the discount. Desmond supported by his research team of Samuel, Rene, Hoang, Bailee, Nazgol, Lucas and Ryan believe that this is the best deal available.
Desmond decides on this purchase but wants to know what his monthly payments will be. What is his monthly payment? (Please note the amount to the nearest penny).
Your answer must be shown as a display on your TI calculator to me (Picture). You must also show your work separately on paper and send it to me. Also need a screen shot of TI calculations.

the Special Homework assignment:
Samuel, Rene, Hoang, Bailee, Nazgol, Lucas and Ryan are helping their fellow classmate Desmond search for a good deal regarding the purchase of a new Honda Accord automobile. After researching all the Honda dealers in this area, they have decided that they have found the best deal at Honda Cars of Rockwell, Texas. The following is their best deal and they want to know what the monthly payment will be. The new Honda Accord is $36,250 and that includes an extended warranty, tax, title and license…(TT&L). To help reduce the cost of this purchase he will receive two discounts; one the Honda “Purchase Incentive” $500 off discount and the second is the College Student discount of $400. Jose has elected to make monthly payments for four years. He has a trade-in vehicle that will decrease his purchase cost of the new vehicle by $17,600. The Honda interest rate program is the best that he can find which is 3.9%. All things considered Desmond is still hesitant to make the purchase. He cannot afford a monthly payment in excess of $400. John Freezer, General Manager of Honda Cars of Rockwall wants to help make Jose feel like he has the best price possible. Both Marcos and Julianna are also classmates of Desmond and they asked Mr. Freezer for anything else that can be done to make this car purchase possible. He decided to provide him an additional discount of .845% (.00845) and he rounded to the nearest dollar on the discount. Desmond supported by his research team of Samuel, Rene, Hoang, Bailee, Nazgol, Lucas and Ryan believe that this is the best deal available. Desmond decides on this purchase but wants to know what his monthly payments will be. What is his monthly payment? (Please note the amount to the nearest penny). Your answer must be shown as a display on your calculator to me (Picture). You must also show your work separately on paper and send it to me. Also need a screen shot of the app that you use to make the calculations and screen shot the answer from the app that you use to make the calculations

1- Create a paragraph about the history of Functions and their importance in mathematics. 2- What are 5 real life examples of
relation and function?
3- What is the importance of
functions in real life?
Important requirements for the creation of the response:
Your initial post should be at least 100 words/numbers or a combination of both. Your initial post is worth 80 points.
Additional readings must be cited, and formatted in the current APA style.
You should respond to at least one of your peers by extending or adding supplementary distinctions to their posts. Your reply posts are worth 20points All replies should contain a minimum of 30 words/numbers or a combination of both.
All replies must be constructive and use literature where possible.
Late work policies, expectations regarding proper citations, acceptable means of responding to peer feedback, and other expectations are at the discretion of the instructor.

Submission Instructions:
Your initial post should be at least 100 words/numbers or a combination of both. Your initial post is worth 80 points.
Additional readings must be cited, and formatted in the current APA style.
You should respond to at least one of your peers by extending or adding supplementary distinctions to their posts. Your reply posts are worth 20points All replies should contain a minimum of 30 words/numbers or a combination of both.
All replies must be constructive and use literature where possible.Create a paragraph about the history of Functions and their importance in mathematics. What are 5 real life examples of relation and function?
What is the importance of functions in real life?
Excellent100% Satisfactory 75% Unsatisfactory 50% Poor25%1- Create a paragraph about the history of function and their importance in mathematics. Discussion posting display an excellent understanding of the readings and underlying concepts including correct use of terminology. Posting integrate an outside resource or relevant research. Discussion postings display an understanding of the required reading and underlying concepts including correct use of terminology and reference. Discussion postings repeat and summarize basic, correct information, but not link reading to outside references and do not consider alternative perspectives or connections between Ideas. Discussion posting shows litter or no evidence that reading was completed or understood. Postings are largely personal opinions or feelings, or without supporting statements from the readings, outside resources or relevant research.2- What are 5 real life examples of relation and function? Discussion posting display an excellent understanding of the real-life examples of relation and function.Posting integrate an outside resource or relevant research.Discussion posting display a good understanding of real life examples of relation and function, including correct use of terminology. Posting integrate an outside resource or relevant research. Discussion posting display understanding of the real-life examples of relation and function.including correct use of terminology. Discussion posting shows litter or no understanding of the real-life relation and function.including and correct use of terminology.
3- What is the importance of functions in real life? Discussion posting display an excellent understanding of the readings and underlying concepts including correct use of technology. Posting integrate an outside resource or relevant research. The connections are clear with examples relevant according to what is required. Discussion posting display a good understanding of the readings and underlying concepts including correct use of technology. Posting integrate an outside resource or relevant research. The connections are clear but without examples relevant according to what is required. Discussion posting display some understanding of the readings and underlying concepts including correct use of technology. The connections are clear but without examples relevant according to what is required. Discussion posting shows no evidence that reading was completed or understood. The connections are unclear and without examples relevant according to what is required.

Algebra in the Real World
Assignment OverviewThroughout the course, you have learned how algebra relates to many everyday situations. This assignment is designed to give you an opportunity to think about how the course concepts apply to your life. You may apply them to your personal experiences, or you may apply them specifically to your discipline, such as health care, technology, or business.
For this assignment, you will gather ideas from the discussion boards, Internet, and textbook readings to create a clearly formatted paper and to incorporate additional insights and edits, as appropriate. Review/preview the types of equations covered in Weeks 3, 4, 6, 7, 8, and 10.
Assignment InstructionsIn your paper, complete the following. Feel free to include equations and/or graphical representations.
1.Explain in mathematical terms equations that have applications in your personal or professional life.
oChoose 4 equations or functions among those covered in the course, including one from each of the following:
§Linear (Week 3).
§Polynomial of degree > 2 (Week 4) or quadratic (Week 8).
§Rational (Week 6) or radical (Week 7).
§Logarithmic (Week 10) or exponential (Week 10).
2.Analyze how and where each equation is applicable to your personal or professional life.
oApplications may include areas such as business, health care, technology, and/or science.
oPay particular attention to applications that impact your life.
3.Discuss the most surprising aspect of applying algebra to your personal or professional life.
oAfter you identify the aspect, discuss specifically how this application is surprising, unexpected, or even delightful.
oCompare this aspect to other applications of algebra in personal or professional contexts.
Note that examples can run in the background of our lives without us directly plugging in numbers ourselves.
Before submitting your paper, read through the assignment rubric to ensure that you have met the requirements.
Assignment RequirementsYour paper should meet the following requirements:
Written communication: Your writing is free of errors that detract from the overall message.
APA formatting: Resources and citations are formatted according to current APA style and formatting guidelines. Refer to the Evidence and APALinks to an external site. section of the Writing Center for guidance.
Paper length: Write 2–4 pages. Be sure to address all the criteria in the rubric.
Paper structure: Your paper should be set up in a logical format based on topics and include the following:
oA title page.
oHeaders. (Consider including a header for each type of equation: Linear, Quadratic, and so on.)
Competencies MeasuredThe course competencies are measured through individual rubric criteria in each assignment. By successfully completing this assignment, you will demonstrate your proficiency in the following course competencies:
Competency 5: Apply mathematical concepts to the social and natural sciences, business, and everyday life.
oExplain linear equations in mathematical terms.
oExplain polynomial or quadratic equations in mathematical terms.
oExplain radical or rational equations in mathematical terms.
oExplain logarithmic or exponential equations in mathematical terms.
oDiscuss the most surprising aspect of applying algebra to one’s personal or professional life. Competencies MeasuredBy successfully completing this assignment, you will demonstrate your proficiency in the following course competencies and scoring guide criteria:
Competency 5: Apply mathematical concepts to the social and natural sciences, business, and everyday life.
oExplain linear equations in mathematical terms.
oExplain polynomial (degree >2) or quadratic equations in mathematical terms.
oExplain radical or rational equations in mathematical terms.
oExplain logarithmic or exponential equations in mathematical terms.
oDiscuss the most surprising aspect of applying algebra to one’s personal or professional life.

Given:
-3ab + 4ac – 2ad = -(3ab – 4ac + 2ad)
First, let’s distribute the negative sign on the right side:
-(3ab – 4ac + 2ad) = -3ab + 4ac – 2ad
Now, you can see that the right side after distributing the negative sign is exactly the same as the original left side:
-3ab + 4ac – 2ad = -3ab + 4ac – 2ad
Since both sides of the equation are identical, this means the equation holds true for all values of a, b, and c. This is because the equation essentially states that the opposite of the expression (3ab – 4ac + 2ad) is equal to the expression itself. This is a property of equality known as the additive inverse, where a number or expression added to its additive inverse equals zero. Therefore, the answer is confirmed.

17
7t2 – 14t
4t2 – 9
36 – w2
w
Explain in your own words what the meaning of domain is. Also, explain why a denominator cannot be zero.
Find the domain for each of your two rational expressions.
Write the domain of each rational expression in set notation (as demonstrated in the example).
Do both of your rational expressions have excluded values in their domains? If yes, explain why they are to be excluded from the domains. If no, explain why no exclusions are necessary.
Incorporate the following five math vocabulary words into your discussion. Use bold font to emphasize the words in your writing. Do not write definitions for the words; use them appropriately in sentences describing your math work.Domain
Excluded value
Set
Factor
Real numbers
Your initial post should be at least 250 words in length.

There are 8 fruits in all in a basket which contains mangoes, papayas and watermelons. The cost of each kind of fruits are Php 12.00, Php 25.00 and Php 50.00, respectively. Find the total cost of the mangoes if all the fruits has a total cost of Php 198.00

There are 8 fruits in all in a basket which contains mangoes, papayas and watermelons. The cost of each kind of fruits are Php 12.00, Php 25.00 and Php 50.00, respectively. Find the total cost of the mangoes if all the fruits has a total cost of Php 198.00