Category: Mathematics

  • Title: “Exploring Functions and Designing a T-Shirt Logo for Mr A’s World Record Achievement”

    Guidance for students
    Using an appropriate set of axes, identify and record a number of data points on the curves which will allow you to develop model functions for them. 
    Define all variables used and state any parameters clearly. 
    Using technology, plot sets of data points on a graph. What type of functions model the behaviour of the data? 
    Explain why you chose these functions. 
    Find functions that represent the curves forming the logo. 
    Discuss any limitations. 
    The Mathematics department wishes to print a T-shirt using the design in Figure 1 on the back as a gift for Mr A to celebrate his world record marking assessment speed. 
    Ms B must double the dimensions of the logo for this purpose. Describe how your functions must be modified.
    What fraction of the area of the T-shirt design in Figure 1 does the Pi symbol occupy? 
    Write a mathematical exploration that explains the process and addresses the questions above. 
    Potential extensions to drive exploration forward:
    You might want to consider how your work can be extended. This could mean extending the sophistication of the solutions you have already given to the points above, or exploring further points of interest regarding Mr A’s logo.
    An example of an extension:
    Ms B wants to stitch the pi logo to the T-shirt and she would like to calculate how much thread is needed. 

  • Grade 2 Geometry and Measurement Lesson Plan

    Choose a grade level (different than the grade level for your Project 2) and create a four-day math lesson plan that focuses on one or more ″Geometry″ or ″Measurement and Data″ standards for that grade level. You may use one of the Lesson Plan templates in the Student DocsLinks to an external site. folder or you may modify one of these or create your own. No matter which format you choose, every lesson plan should answer the three main questions:
    What are you teaching?
    How are you teaching it?
    How will you know which students have learned?
    Make sure your lesson plan includes the following:
    You name
    Grade level
    A list of the Common Core standards practiced in this four-day activity. The list of standards must include at least one ″Geometry″ or ″Measurement and Data″ standard, but may include other standards. When identifying the standards, use the standards codes, such as “5.NBT.2” and the desсrіption of the standard.
    A narrative describing the lead-in activity (the “hook”, anticipatory set, or “into” activity) for each day
    A narrative describing the main activities each day, including what the teacher and students are doing during each activity of the lesson.
    A timeline for each day indicating how long you predict each activity will take.
    At least one math game for the week.
    Provide a list of new vocabulary that will be used during these lessons.
    Explain how you will know that each student learned the target concepts of this lesson. You may include any form of formal or informal assessment.
    A reference page citing any printed or online resources you used.
    Please submit your completed project as a Google Doc, Google Slides, an MS Word file or as a PDF.
    Worksheets and games may be copied from other sources, but links to these resources must be included on your reference page. All narrative parts of this assignment must be your original work. If any narrative parts of your assignment are copied from another source, you will receive a zero on the assignment and will be reported to the college administration for plagiarism.
    The last time I ask for help on a project similar to this I was missing lots of information. Please dont hesitate to ask questions. I am asking to do grade level 2.

  • Title: “The Impact of Social Media on Mental Health: Exploring the Effects of Online Social Comparison and Cyberbullying on Adolescents”

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  • Title: Exploring Inverse Variation and Other Types of Variation in Real Life Situations

    The variable is in the bottom of a fraction or in the denominator.  (The Opposite of Direct Variation)  In an inverse variation, the values of the two variables change in an opposite manner – as one value increases, the other decreases. For example, a biker traveling at 8 mph can cover 8 miles in 1 hour. If the biker’s speed decreases to 4 mph, it will take the biker 2 hours (an increase of one hour), to cover the same distance.
    Please start by addressing one or more of the following topics to get the discussion going:
    How would you describe the difference between direct variation and joint variation in words? Use examples to help illustrate.
    Pick a field of study of interest to you and give an example of variation in that field. Some possible areas to consider are: Economics, Finance, Geometry and Physics. Example: If your hourly pay rate is $15/hour, then your weekly pay p is given by the formula p=15h where h is the number of hours worked in a week. So, your weekly pay varies directly as the number of hours worked in a week with the constant of variation = 15.
    Most formulas are actually examples of variation. Pick a well-known formula and describe the type of variation as well as the constant of variation, k. Example: The area A of a triangle with base b and height h is given by the formula A=½bh. So, the area of a triangle varies jointly as the base and height (both direct) with the constant of variation = ½.
    Share a favorite recipe; a) Triple the recipe; b) Take 1/2 of the tripled recipe.
    Give an example from real life where composite functions are utilized. For ideas, you may look it up on the internet or find examples in the book.

  • “Exploring the Evolution of Projective Geometry in the 19th Century: A Comparative Analysis of Algebraic, Axiomatic, and Foundational Approaches”

    Your dissertation should be about 10,000 words.
    Advice on writing the dissertation
    Your answer should indicate some of the main points in the development of
    projective geometry in the 19th century, concentrating on the years after
    1850.
    You should consider the topic from several points of view (algebraic,
    axiomatic, foundational) and in comparison with other formulations of
    geometry (non-Euclidean, differential).
    It is entirely permissible to rework material from your earlier essays into the
    dissertation, but if you copy what you have written before wholesale and
    uncritically, then you risk losing marks.
    General advice on tackling a similar question is given in Worlds out of
    Nothing, Chapter 31, where you will also find a description of how it will be
    marked.
    NOTE, however, that your dissertation should be about 10,000 words, and
    that it covers a longer period – the whole of the 19th century.
    Credit will be given for the use of sources (print and/or digital) in addition
    to Worlds out of Nothing.
    Quotations or paraphrases of material from any source should be
    accompanied by a reference or footnote saying clearly where the information
    has come from. In the case of a book or article, the reference should include
    the author, title, date and page number(s). Quotations or paraphrases from
    Worlds out of Nothing should be accompanied by a page reference. For a
    web reference, give the URL, and a clear indication of where in the website
    the information can be found. Failure to do this will result in marks being
    deducted. Further information about

  • Linear Regression Analysis of US Population Growth from 1790-2020

    exponential regression project part 1
    Choose your data set: 
    US Population Data, from 1790-2010 (tab 1) + 2020 added (tab 2) 
    USPOP-1.xlsDownload USPOP-1.xls 
    Number of Cell Phone Subscribers Worldwide from 1997 – 2008 (tab 1) + 2009-2022 added (tab 2) 
    CELLSUBS-1.xlsDownload CELLSUBS-1.xls 
    You will compare the textbook’s data and models with the added data. 
    Step 1: Download the data and reinitialize the years  
    Step 2: Use Desmos to create a scatter plot, add a regression line, and show the equation. (Desmos allows you to choose what type of equation to use; you should use y=Cax) 
    Step 3: Be sure to identify the variables and their units. What is the annual growth factor? What is the growth factor? What is a growth rate? 
    Step 4: Predict the number of (people or cell phone subscribers) in 2015 and 2022 
    Step 5: Repeat Steps 1 through 3 with the data on the second tab. 
    Step 6: Compare your results in Step 4 with the actual data. Was the model a good prediction of the actual numbers? 
    Step 7: Use the equation from the second tab to repeat step 4. Is the model more accurate with the added data? 
    Submit a screenshot of your graph and your equations. 
    part 2 linear regression project
    Choose from one of the datasets in the course files:  https://cmsv.instructure.com/courses/17800/files/folder/Data%20sets%20for%20Linear%20Regression  
    Or search for something you are interested in and find some data. Here are a few free data websites: 
    https://www.kaggle.com/datasetsLinks to an external site. (you must sign up for a free account) 
    https://opendata.cityofnewyork.us/Links to an external site.  
    https://data.worldbank.org/Links to  external site.  
    https://www.pewresearch.org/download-datasets/Links to an external site.  
    Similar to what we did in class, you will need to plot your data and create a linear regression line. (See Miro Day 11) 
    The hard part is cleaning the data to ensure that you are comparing two things that make sense and that your data analysis is being done in a way that makes sense. Chapter 2.11 shows how to make a large data set suitable for analysis. You can use this as a model. 
    Remember that time (reinitialized) should always be your independent variable if you use it. Otherwise, you can choose your independent variable, but your analysis when you talk about the relationship must make sense. 
    You should hand in a document with a graph and a short paragraph explaining why you chose that data and what you learned, including an analysis of the data using linear regression and correlation coefficient. 

  • “Integrating Physical Activity Data into Math: Exploring the Relationship Between Exercise and Health”

    After reading the article you will construct a lesson for a CORE SUBJECT (such as science or math) in which you integrate data/information (running times / number of sit-ups – push-ups / as an example) collected from your physical education class or health related activity that you would have completed with your students. Illustrate the information related to the health or physical education activity embedded in your lesson by using a different color text. The lesson plan should be long enough to illustrate the subject (topic) being taught and allow for the inclusion of the health or physical education concept (data).

  • Title: Correlation and Simple Linear Regression Analysis of Father-Son Heights

    This task is correlation analysis and simple linear regression analysis, please provide answer with excel output.
    150 pairs of father-son heights (in inches) are given in Spreadsheet “Task 7”. The data are rounded to the nearest 0.1 inch.
    Question 1  Perform a correlation analysis on the data. Test, at a 5% level of
    significance, whether there is a linear relationship between the father’s height (X) and the son’s height (Y). If the test is significant, perform a further test on whether Corr(X,Y) is significantly greater than 0.36 at the 5% and 1% levels of significance, respectively.
    Question 2  Perform a simple linear regression analysis on the data. Find the estimated
    regression equation and the predicted value and a 95% prediction interval for the son’s height if his father is 65 inches tall. Without performing further statistical analysis, describe how you may improve the regression analysis.

  • “Completing Modules 13 and 14 of Online Math Homework”

    It′s online math homework, login and complete module 13 and 14
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