DP Math AI Year 2: 2nd Period-2nd Period: M-Th: 8:55-9:46, F: 8:42-9:20 Assignments
- Instructor
- Sophia Papaefthimiou
- Term
- 2020 - 2021 School Year
- Department
- Mathematics
- Description
-
Upcoming Assignments
No upcoming assignments.
Past Assignments
Due:
Please add a picture of your quiz corrections!
Due:
These practice problems are due by the end of day WEDNESDAY, 5/19. Credit will NOT be given for late assignments! We will have time in class Wednesday to work on this and I will be in Office Hours Wednesday from 12:30-2PM.
Quiz covering this material is on Thursday.
Quiz covering this material is on Thursday.
Due:
Please read each question carefully as each one is very different.
Check out the videos posted for additional help.
Friday, 4/23 will be a workday in class to work on these problems.
Check out the videos posted for additional help.
Friday, 4/23 will be a workday in class to work on these problems.
Due:
This is a hard deadline due by the end of class by 9:20AM! 1 point will be deducted for each day late.
Due:
This is the peer edit form we will use in class today.
Fill out this peer edit form after (or while) you read your partner's paper. You may also write comments on their document, but definitely fill out this form. Remember to be KIND! Think about how you would like to receive useful feedback (be specific, descriptive, and encouraging).
Submit this "assignment" here and also share your feedback with your partner.
Fill out this peer edit form after (or while) you read your partner's paper. You may also write comments on their document, but definitely fill out this form. Remember to be KIND! Think about how you would like to receive useful feedback (be specific, descriptive, and encouraging).
Submit this "assignment" here and also share your feedback with your partner.
Due:
Attached your IA that includes your research question, aim, rationale, and data tables.
Due:
Upload a link to your Olympics paper.
Include an introduction and a conclusion.
Introduction should include:
-What event did you choose? Why did you choose this event?
-What is the purpose of this paper? What question are you trying to answer?
-How did you go about answering your question? Outline your steps.
Conclusion should include:
-Answer your question, if able! Consider ALL the math you have done, and if the data supports your conclusion.
-Is your conclusion reliable? Can you think of any reason your data may not be reliable? Can you accurately make a prediction to answer your question, or is it extrapolation?
-What would you do differently if you were to do this analysis over again (for example, remove the outliers to see if it significantly changes the results)
Check the rest of your paper, make sure to have both partners READ IT THOROUGHLY!
-Use mathematical notation.
-Your essay should be typed and double-spaced on standard-sized paper (8.5" x 11"), with 1" margins on all sides. You should use a clear font that is highly readable. APA recommends using 12 pt. Times New Roman font.
-Include your title page.
-Check for grammatical errors.
-Do you DESCRIBE your data and representations thoroughly? Any calculation/evidence/representation should be followed by a detailed explanation.
-CITE YOUR SOURCES
I recommend APA, include a bibliography at end of paper. Everyone should have at least one source cited for their data. Include more if you did more research on your event.
Make sure all representations/work is on the FINAL DOCUMENT. I will not be looking at any other documents. No LINKS.
Include an introduction and a conclusion.
Introduction should include:
-What event did you choose? Why did you choose this event?
-What is the purpose of this paper? What question are you trying to answer?
-How did you go about answering your question? Outline your steps.
Conclusion should include:
-Answer your question, if able! Consider ALL the math you have done, and if the data supports your conclusion.
-Is your conclusion reliable? Can you think of any reason your data may not be reliable? Can you accurately make a prediction to answer your question, or is it extrapolation?
-What would you do differently if you were to do this analysis over again (for example, remove the outliers to see if it significantly changes the results)
Check the rest of your paper, make sure to have both partners READ IT THOROUGHLY!
-Use mathematical notation.
-Your essay should be typed and double-spaced on standard-sized paper (8.5" x 11"), with 1" margins on all sides. You should use a clear font that is highly readable. APA recommends using 12 pt. Times New Roman font.
-Include your title page.
-Check for grammatical errors.
-Do you DESCRIBE your data and representations thoroughly? Any calculation/evidence/representation should be followed by a detailed explanation.
-CITE YOUR SOURCES
I recommend APA, include a bibliography at end of paper. Everyone should have at least one source cited for their data. Include more if you did more research on your event.
Make sure all representations/work is on the FINAL DOCUMENT. I will not be looking at any other documents. No LINKS.
Due:
#1:
a: Expected values are all 5: 1/12(60) = 5
b: 12 -1 = 11
c: Ho: The data fits a uniform distribution.
d: H1: The data does not fit a uniform distribution.
e: x2 = 6
f: p = .873
g: 6 < 17.275 OR .873 > .01. Ho is accepted and data fits a uniform distribution.
#2:
a: Expected values are all 50: 1/6(300) = 50
b: Ho: Die is fair.
c: H1: Die is not fair.
d: 6 - 1 = 5
e: x2 = 22.2
f: p = 4.71 x 10-4 (really small number given in scientific notation)
g: 4.71 x 10-4 < .05 Reject null and the die is not fair.
#3:
a: 12, 23, 23, 15, 12, 15
b: Ho: Distribution of colors for our bag is the same as the Mars company distribution.
c: H1: Distribution of colors for our bag is not the same distribution as the M&M company distribution.
d: 6 -1 = 5
e: x2 = 8.90
f: p= .113
g: 8.90 < 11.07 Accept the null hypothesis and our bag distribution is the same as the M&M company distribution.
a: Expected values are all 5: 1/12(60) = 5
b: 12 -1 = 11
c: Ho: The data fits a uniform distribution.
d: H1: The data does not fit a uniform distribution.
e: x2 = 6
f: p = .873
g: 6 < 17.275 OR .873 > .01. Ho is accepted and data fits a uniform distribution.
#2:
a: Expected values are all 50: 1/6(300) = 50
b: Ho: Die is fair.
c: H1: Die is not fair.
d: 6 - 1 = 5
e: x2 = 22.2
f: p = 4.71 x 10-4 (really small number given in scientific notation)
g: 4.71 x 10-4 < .05 Reject null and the die is not fair.
#3:
a: 12, 23, 23, 15, 12, 15
b: Ho: Distribution of colors for our bag is the same as the Mars company distribution.
c: H1: Distribution of colors for our bag is not the same distribution as the M&M company distribution.
d: 6 -1 = 5
e: x2 = 8.90
f: p= .113
g: 8.90 < 11.07 Accept the null hypothesis and our bag distribution is the same as the M&M company distribution.
Due:
Please upload a picture of today's M&Ms Goodness of Fit Investigation Activity.
Due:
Practice problems: Take a picture and upload your work/answers to problems #2 and #6 and then choose one other one (either #1, #3, #4, or #5).
Answers:
1a: Number of salad meals per week is independent of a person's position in the university.
1b: Number of salad meals per week is dependent of a person's position in the university.
1c: 0.0201
1d: 0.0201 < .05 The null hypothesis is rejected.
2a: Choice of morning snack is independent of gender.
2b: 2
2c: 150(210) / 350 = 90
2d: 3.576 < 5.99 Accept the null hypothesis.
3a: The type of Latin dance the viewer prefers is independent of their age.
3b: 18
3c: p = 0.0876
3d: p > SL
0.0876 > 0.05
Accept the null hypothesis, so the producer's claim is justified.
4a: Chosen profession is independent of gender.
4b: 110(90) / 220 = 45
4c: 0.0193
4d: 0.0193 > 0.01
5a: Choice of meal is independent of gender.
5b: 2
5c: 69(67) / 150 = 30.82 = 31
5d: x2 = 2.66
5e: p = 0.265
5f: 2.66 < 4.605 OR 0.265 > 0.10
Accept the null hypothesis - choice of meal is independent of age.
6a: discrete
6b: 11 <= N <= 20
6c: 15.5
6d: 21.2 [In your GDC, for L1 you will enter the mid-interval values and for L2 you will enter the corresponding student values. So, L1=5.5 and L2 = 46, L1 = 5.5 and L2 = 37, L1 = 5.5 and L2 = 31, L1 = 15.5 and L2 = 80, L1 = 15.5 and L2 = 82... Continue like this until all of the data is entered and you will go to STAT --> CALC --> 1-Var Stats and you will get your x-bar (mean) and standard deviation.]
6e: 9.60
6f: 260(157) / 800 = 51.0
6g: Choice of category is independent of number of correct answers.
6h: 6
6i: p = 0.0644
6j: x2 = 11.9
6k: 11.9 < 12.592 OR 0.0644 > 0.05
Accept the null hypothesis.
Answers:
1a: Number of salad meals per week is independent of a person's position in the university.
1b: Number of salad meals per week is dependent of a person's position in the university.
1c: 0.0201
1d: 0.0201 < .05 The null hypothesis is rejected.
2a: Choice of morning snack is independent of gender.
2b: 2
2c: 150(210) / 350 = 90
2d: 3.576 < 5.99 Accept the null hypothesis.
3a: The type of Latin dance the viewer prefers is independent of their age.
3b: 18
3c: p = 0.0876
3d: p > SL
0.0876 > 0.05
Accept the null hypothesis, so the producer's claim is justified.
4a: Chosen profession is independent of gender.
4b: 110(90) / 220 = 45
4c: 0.0193
4d: 0.0193 > 0.01
5a: Choice of meal is independent of gender.
5b: 2
5c: 69(67) / 150 = 30.82 = 31
5d: x2 = 2.66
5e: p = 0.265
5f: 2.66 < 4.605 OR 0.265 > 0.10
Accept the null hypothesis - choice of meal is independent of age.
6a: discrete
6b: 11 <= N <= 20
6c: 15.5
6d: 21.2 [In your GDC, for L1 you will enter the mid-interval values and for L2 you will enter the corresponding student values. So, L1=5.5 and L2 = 46, L1 = 5.5 and L2 = 37, L1 = 5.5 and L2 = 31, L1 = 15.5 and L2 = 80, L1 = 15.5 and L2 = 82... Continue like this until all of the data is entered and you will go to STAT --> CALC --> 1-Var Stats and you will get your x-bar (mean) and standard deviation.]
6e: 9.60
6f: 260(157) / 800 = 51.0
6g: Choice of category is independent of number of correct answers.
6h: 6
6i: p = 0.0644
6j: x2 = 11.9
6k: 11.9 < 12.592 OR 0.0644 > 0.05
Accept the null hypothesis.
Due:
Due 11/12: Assignment #6: Bivariate Tasks ____/10 Criterion B
Include the following under section D: Bivariate Tasks for both the men's and women's data:
1.) Create a table with ranks in order to find Spearman’s rank correlation coefficient, r-s
2.) Using your GDC, find Spearman’s rank correlation coefficient, r-s.
3.) Comment on your answer.
4.) Compare Sperman's rank correlation coefficient r-s to Pearson’s product moment correlation coefficient, r-p.
*Make other corrections/changes/additions from previous feedback.
*Make sure BOTH partners have read entire paper and that it flows nicely.
Include the following under section D: Bivariate Tasks for both the men's and women's data:
1.) Create a table with ranks in order to find Spearman’s rank correlation coefficient, r-s
2.) Using your GDC, find Spearman’s rank correlation coefficient, r-s.
3.) Comment on your answer.
4.) Compare Sperman's rank correlation coefficient r-s to Pearson’s product moment correlation coefficient, r-p.
*Make other corrections/changes/additions from previous feedback.
*Make sure BOTH partners have read entire paper and that it flows nicely.
Due:
Show your work/answers on notebook paper and then upload a picture of your work.
Due:
Show all work, either on a physical copy of this quiz, or on a blank sheet of paper. Make sure to LABEL all work, and CIRCLE answers. When you are finished, submit a picture on the Google Classroom assignment.
Due:
These are the practice problems we will be working on in class on Wednesday. Please upload a picture of your work/answers for ALL problems.
Groups will be responsible for posting the following problems in class on Thursday on the Jamboard.
Group 1: Problems 1 & 5
Group 2: Problems 2 & 6
Group 3: Problems 3 & 7
Group 4: Problems 4 & 8
Groups will be responsible for posting the following problems in class on Thursday on the Jamboard.
Group 1: Problems 1 & 5
Group 2: Problems 2 & 6
Group 3: Problems 3 & 7
Group 4: Problems 4 & 8
Due:
Upload the work and answers for the 8 questions for these two topics here.
Due:
Upload the work and answers for the 8 questions for these two topics here.
Due:
Topic #5: Polynomial and Rational Operations & Topic #6: Solving Quadratics and Solving Radical Equations
Upload the work and answers for the 8 questions for these two topics here.
Due:
Upload the work and answers for the 8 questions for these two topics here.
Due:
Upload the work and answers for the 8 questions for these two topics here.
Due:
What were some interesting points from the SAT articles you read? Write down your thoughts on this Padlet and we can discuss tomorrow (Friday) in class.
Due:
What better way to learn about Jamboard then to create a Jamboard! This is a technology tool that we will be using throughout the school year which is great for presenting math problems. Since we have not seen each other since the fall, I thought it would be a nice way to catch up. Please read the directions on slide 1 and then create your own slide that you will then share with our class on Wednesday, 9/9. I thought I'd post this assignment early, in case anybody wants a head start.