Math Activity #1 – Statistics/Data Grade 3 (20 points) As part of each unit, y

Math Activity #1 – Statistics/Data Grade 3
(20 points)

As part of each unit, you will be expected to submit an activity appropriate for elementary school students. The activity will be related to a topic for that unit. For our first activity, I am giving you some specific guidance about the topic and the grade level.

Assignment Guidelines:

0 Go to the Georgia Standards for Excellence Curriculum Framework and look at Unit 1: Number and Operations in Base Ten https://www.georgiastandards.org/Georgia-Standards/Frameworks/3rd-Math-Unit-1.pdf OR Unit 6: Measurement https://www.georgiastandards.org/Georgia-Standards/Frameworks/3rd-Math-Unit-6.pdf

0 Scroll through the units and look for activities that have some type of graphing or data component (similar to the content we have been learning in MA230).
0 Select one lesson/activity, which will likely be a few pages. Print these pages, since you will be writing on this lesson plan and turning it in.

0 Write one paragraph briefly summarizing the lesson and another paragraph explaining why you selected this particular lesson. (This can be on an attached sheet of paper or written on the printed lesson plan).

0 Select two of the Mathematical Practices that the lesson addresses (these are listed in the lesson plan). Highlight where in the lesson plan you think students would be engaged in these two practices (You may want to color code, and highlight one practice, 1 color, and the other practice another color). Write extra notes by these spots in the lesson plan explaining your justification of how students are engaged in the mathematical practice.

0 Highlight one of the Common Core standards that the lesson addresses. Next to it write how this lesson addresses that standard.

0 If you need, use the NC 2017 Unpacked Content #th Grade Math Standard documents at https://www.dpi.nc.gov/teach-nc/curriculum-instruction/standard-course-study/all to help you understand what each standard is referencing for students to do.

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0 Your submission should have:
0 The lesson plan with markings/highlighting and two paragraphs.
0 An additional paper if you wanted more room for writing (optional).
0 Due: September 23rd in class or online.
RUBRIC (20 points)
Lesson Plan (2 points)
2 points ​A lesson plan was printed from Georgia Standards for Excellence Curriculum Framework website and addresses the recommended grade band and topic.
1 points​A lesson plan was printed but is either from another website or covers something other than recommended grade band and topic.
0 point​​A lesson plan is not printed/submitted.

Paragraph Summary (4 points)
4 points ​The summary provides a clear and detailed picture of what students are doing and learning in this lesson. It also includes information about the role of the teacher in the lesson.
3 points​The summary provides some details but some generalities too about what students are doing and learning in this lesson and/or about the role of the teacher in the lesson.
2 points​The summary provides a vague picture of what students are doing and learning in this lesson and/or about the role of the teacher in the lesson.
1 point​The summary is brief and general. It could be used to describe a lot of different lessons.

Rationale for Lesson Plan Selection (4 points)
4 points ​A detailed paragraph provides description of at least 2 reasons why the lesson plan was selected.
3 points​A detailed paragraph provides description of at least 1 reason why the lesson plan was selected.
2 points​A general paragraph provides some ideas about why the lesson plan was selected.
1 point​No paragraph was included.

Two Mathematical Practices (5 points)
5 points​At least two mathematical practices are highlighted and discussed with accuracy. Strong examples are marked and discussed from the activity as evidence of how students would be engaged in each mathematical practice.
4 points ​At least two mathematical practices are highlighted and discussed, but
there may be some inaccuracies. Some examples are marked and discussed as evidence of how students would be engaged in each mathematical practice.
3 points​One mathematical practice is highlighted and discussed with accuracy. Some examples are marked and discussed as evidence of how students would be engaged in the mathematical practice.
2 points​Mathematical practices are highlighted but there are some misconceptions about what students are doing to be engaged in each of them.
1 points​Mathematical practice(s) are highlighted but there is no descriptions or markings in the lesson plan.

Standard Addressed (5 points)
5 points ​The explanation of how this lesson addresses the highlighted content standard is accurate and demonstrates mathematical thinking and understanding of the standard.
4 points​The explanation of how this lesson addresses the highlighted content standard is accurate, but may lack mathematical thinking or explaining.
3 point​The explanation of how this lesson addresses the highlighted content standard has some inaccuracies.
2 point​There is only a content standard highlighted/addressed.
1 point​There is no content standard highlighted/addressed.

Variable Activity What makes a function of a discrete variable a candidate for

Variable Activity
What makes a function of a discrete variable a candidate for a discrete random variable distribution? What about the counterpart of this candidacy in the case of a continuous variable? Explain in a one-page, APA formatted response.
Investment Classes Activity
For each investment class in Table 3, assume that future returns are normally distributed with the population mean and standard deviation as given. Based on this assumption:
For each investment class, find the probability of a return that is less than zero (that is, find the probability of a loss). Is your answer reasonable for all investment classes? Explain.
For each investment class, find the probability of a return that is: Greater than 5%.
Greater than 10%.
Greater than 20%.
Greater than 50%.
For which investment classes is the probability of the return greater than 50% is essentially zero? For which investment classes is the probability of such a return greater than 1 percent? Greater than 5%?
For which investment classes is the probability of loss essentially zero?
For which investment classes is the probability of loss greater than 1%? Greater than 10%? Greater than 20%?

The Monty Hall problem is a brain teaser, in the form of a probability puzzle, l

The Monty Hall problem is a brain teaser, in the form of a probability puzzle, loosely based on the American television game show Let’s Make a Deal and named after its original host, Monty Hall. The problem was originally posed in a letter by Steve Selvin to the American Statistician in 1975. It became famous as a question from a reader’s letter, quoted in Marilyn vos Savant’s “Ask Marilyn” column in Parade magazine in 1990:
Suppose you’re on a game show, and you’re given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what’s behind the doors, opens another door, say No. 3, which has a goat. He then says to you, “Do you want to pick door No. 2?” Is it to your advantage to switch your choice?
1. Would you stay with your original door selection, or would you switch? Explain your reasoning.
2. Watch at least one of the following videos about the Monty Hall Problem.
Monty Hall Problem
(If you would like additional explanation, you can watch the following additional videos:
Monty Hall Problem for Dummies or Probability and the Monty Hall Problem or The Monty Hall Problem – Explained )
Indicate which video(s) you watched. If you found another one on your own, include the link.
3. What is the probability of winning if you stay with your original door selection?
4. What is the probability of winning if you switch to the other door, after you’ve been shown the door with a goat?
5. Write a paragraph explaining why a contestant should switch doors on the game show.
Note: Parts of this discussion were based on CC LICENSED CONTENT, ORIGINAL
Discussion: Probability. Provided by: Lumen Learning. License: CC BY-SA: Attribution-ShareAlike
Video Citations:
Numberphile (2014, May 22). Monty Hall Problem [Video]. | Youtube | 5.30 min.
Numberphile (2014, May 28). Monty Hall Problem for Dummies [Video]. | Youtube | 4.17 min.
Khan Academy (2012, Jun 27). Probability and the Monty Hall Problem [Video]. | Youtube | 7.22 mins.
AsapSCIENCE (2012, Nov 6). The Monty Hall Problem – Explained [Video]. | Youtube| 2.47 mins.

I would like you to perform an ANCOVA test on the data given to you in the sprea

I would like you to perform an ANCOVA test on the data given to you in the spreadsheet. I would like you to calculate the relationship between exercise and bone mineral density. You should use produce as your co-variate. Put your results in a word document and describe the results is as much detail as possible.

The Monty Hall problem is a brain teaser, in the form of a probability puzzle, l

The Monty Hall problem is a brain teaser, in the form of a probability puzzle, loosely based on the American television game show Let’s Make a Deal and named after its original host, Monty Hall. The problem was originally posed in a letter by Steve Selvin to the American Statistician in 1975. It became famous as a question from a reader’s letter, quoted in Marilyn vos Savant’s “Ask Marilyn” column in Parade magazine in 1990:
Suppose you’re on a game show, and you’re given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what’s behind the doors, opens another door, say No. 3, which has a goat. He then says to you, “Do you want to pick door No. 2?” Is it to your advantage to switch your choice?
1. Would you stay with your original door selection, or would you switch? Explain your reasoning.
2. Watch at least one of the following videos about the Monty Hall Problem.
Monty Hall Problem
(If you would like additional explanation, you can watch the following additional videos:
Monty Hall Problem for Dummies or Probability and the Monty Hall Problem or The Monty Hall Problem – Explained )
Indicate which video(s) you watched. If you found another one on your own, include the link.
3. What is the probability of winning if you stay with your original door selection?
4. What is the probability of winning if you switch to the other door, after you’ve been shown the door with a goat?
5. Write a paragraph explaining why a contestant should switch doors on the game show.
Note: Parts of this discussion were based on CC LICENSED CONTENT, ORIGINAL
Discussion: Probability. Provided by: Lumen Learning. License: CC BY-SA: Attribution-ShareAlike
Video Citations:
Numberphile (2014, May 22). Monty Hall Problem [Video]. | Youtube | 5.30 min.
Numberphile (2014, May 28). Monty Hall Problem for Dummies [Video]. | Youtube | 4.17 min.
Khan Academy (2012, Jun 27). Probability and the Monty Hall Problem [Video]. | Youtube | 7.22 mins.
AsapSCIENCE (2012, Nov 6). The Monty Hall Problem – Explained [Video]. | Youtube| 2.47 mins.

I would like you to perform an ANCOVA test on the data given to you in the sprea

I would like you to perform an ANCOVA test on the data given to you in the spreadsheet. I would like you to calculate the relationship between exercise and bone mineral density. You should use produce as your co-variate. Put your results in a word document and describe the results is as much detail as possible.

Think of a topic or question that you’re interested in exploring further that ca

Think of a topic or question that you’re interested in exploring further that can be studied through data.
It is recommended, but not required, that you pick a topic in your field of study.
Find a source for your data (or use one of the suggested data source sites listed below).
The data must be quantitative and ratio-level (See Chapter 1, section 2).
You will need between 30 – 60 data values.
You will need to provide a direct link to the source of the data.
Your data must be less than 2 years old.
Using Excel, perform the following statistical analyses:
Calculate Descriiptive Statistics using Data Analysis (See Chapter 3, page 102) – Mean, Median, Mode, Sample Standard Deviation, Variance, 5-number Summary,
Generate a bar chart (See Chapter 2, pages 38-39)
Generate a pie chart (See Chapter 2, page 40-43) – If possible, break your data into categories and provide counts for each category. Then use this to generate a pie chart.
Generate a histogram (See Chapter 2, pages 56-59)
Generate a line graph (See Chapter 2, pages 71-72)
Generate a box and whisker (Chapter 3, pages 143-147)

Descriptive Statistics For Questions on the Survey Locate the class data for the

Descriptive Statistics For Questions on the Survey
Locate the class data for the survey question that you constructed. (You will find the data under the discussion labeled “Survey Discussion”.)
Assume the data you collected is a sample from the population of online STA2023 at BC.
Rewrite your survey question from Discussion 1. (Note that if you did not complete discussion 1, you will have to create a survey question and gather at least 30 responses via discussion, email, in-person, etc. You may want to speak with your professor about how to best handle this. You will need the quantitative data from your survey question for several discussions in this course.)
List all the class responses to your survey question in ascending order.
Find the sample mean, median, and mode for your survey responses.
Find the sample standard deviation, variance, and range for your survey responses.
Find the z-score for the largest (maximum) value in your data set. Is that value an outlier (a significantly high value)?
MAKE UP DATA FROM THIS QUESTION; How many hours a week do you workout?.
below is an example of another students work
Survey Question: How many pairs of Crocs do you own?
1. Answers in ascending order: 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 10
2. Sample mean, median and mode:
– Sample mean: 1.25
– Sample median: 1
– Sample mode: 0
3. Sample standard deviation, variance and range:
– Sample standard deviation: 2.2449
– Sample variance: 5.0395
– Sample range: 10
4. Z-score for the largest (maximum) value in the data set: 3.898
– Is the value an outlier? Yes

The most important part of statistics is accurately and effectively communicatin

The most important part of statistics is accurately and effectively communicating the results of a study. For this lab, you will be conducting a statistical analysis for data of your choosing.
Lab Procedure:
Think of a topic or question that you’re interested in exploring further that can be studied through data.
It is recommended, but not required, that you pick a topic in your field of study.
Find a source for your data (or use one of the suggested data source sites listed below).
The data must be quantitative and ratio-level (See Chapter 1, section 2).
You will need between 30 – 60 data values.
You will need to provide a direct link to the source of the data.
Your data must be less than 2 years old.
Using Excel, perform the following statistical analyses:
Calculate Descriiptive Statistics using Data Analysis (See Chapter 3, page 102) – Mean, Median, Mode, Sample Standard Deviation, Variance, 5-number Summary,
Generate a bar chart (See Chapter 2, pages 38-39)
Generate a pie chart (See Chapter 2, page 40-43) – If possible, break your data into categories and provide counts for each category. Then use this to generate a pie chart.
Generate a histogram (See Chapter 2, pages 56-59)
Generate a line graph (See Chapter 2, pages 71-72)
Generate a box and whisker (Chapter 3, pages 143-147)
All axes should be properly labeled.
See Canvas resources for examples of each type of chart.
Using Word, write a short report that introduces your data and utilizes the two best visual representations of your data.
Explain how your data is quantitative and at the ratio-level.
Discuss the descriiptive statistics that you found.
Explain your choice for which two visual representations best represent your data.
What conclusions can you draw about your data from the visual representations