YOUR TASK: 1. To learn how to create and interpret circle graphs so that you can investigate the relationship between physical and sedentary activities in Canadian children. 2. To learn how to create and interpret scatter plots so you can prove, or disprove, the Vitruvian theory using data compiled from Canadian students, LIKE YOU! :)
THE PROCESS: Follow the posts, in sequence, as you navigate through various websites while you create, describe, interpret, and LEARN! Be sure to work your way through the post IN ORDER so you do not miss any important information. HAVE FUN!

Saturday 28 April 2012

STEP 1: CONSTRUCTING A CIRCLE GRAPH

Click HERE to access information on HOW TO CREATE A CIRCLE GRAPH.

Follow the STEPS needed to create a circle graph.

Read through the examples then work on the two EXERCISES. Use the circle graph paper link, if needed, and check your answers using the links provided.

STEP 2: INTERPRETING A CIRCLE GRAPH

Click HERE to learn how to read a circle graph. Read through the examples and complete the EXERCISE at the bottom of the page.

STEP 3: INTERPRETING A CIRCLE GRAPH -- PART 2

There are other ways in which you can INTERPRET a circle graph. You can make PREDICTIONS based on the percentage of each sector. For example, in the previous webpage accessed in the last post (click HERE), example 1 looked at the music preferences of students at Adams School (see graph below). If the school had a population of 500, you could predict approximately how many students preferred "rap" music based on the sector percent given.

Example:
35% of 500
= 0.35 x 500
= 175

THEREFORE, 175 students prefer rap music.

Using the graph above, predict how many students, out of 500, prefer "country" and "rock and roll" music (calculate each separately). Solve, showing your work/calculations, and email me your answers (see profile for email address). Be sure to include the name of this post as your subject.

STEP 4: CIRCLE GRAPH ASSIGNMENT

OUTCOMES: F3, F8, F9

1. Create TWO circle graphs using the information from the Statistics Canada website related to children's participation in activites.

(a) The FIRST graph should be based on the information found HERE which lists children's participation (aged 6 to 11) in physical activities, in hours per week, by sex, household population aged 6 to 11.

(b) The SECOND graph should be based on the information found HERE which lists children's participation (aged 12 to 17) in sedentary activities, in hours per week, by age group and sex.

2. Be sure to include a title and sector percentages. You can use the CIRCLE GRAPH PAPER found on the previous website, if you want.

3. Make THREE interpretations of each graph.

4. Compare the two circle graphs by making THREE comparison statements.

5. Click HERE to visit a Stats Can webpage displaying information related to the Top 10 Sports of Children (aged 5 to 14) in 1992 and 2005.

(a) Assume a population of 500,000. Approximately how many children preferred hockey in 1992? (show all calculations)

(b) Assuming the same population, what is the difference between the number of children who preferred soccer in 1992 and the number of children who preferred soccer in 2005? (show all calculations)

6. All work should be done on PAPER and submitted to Mrs. Fletcher.

STEP 5: CONSTRUCTING A SCATTER PLOT




Click HERE to access a video on HOW TO CREATE A SCATTER PLOT.

Follow along with the lesson. You may want to set up your own scatter plot and draw along with the demonstration.

STEP 6: INTERPRETING A SCATTER PLOT





Next, learn about how to INTERPRET scatter plots by clicking HERE. This is a slide show that examines CORRELATION, LINE OF BEST FIT, INTERPOLATION, and EXTRAPOLATION.

Read the information as you click from slide to slide.

Complete the following activity, on graph paper, using the information you have learned about scatter plots via the online resources.






As instructed...

(a) Determine the independent and dependent variables

(b) Determine the scale for your x and y axis

(c) Plot the points on the axis

(d) Draw a line of best fit

I would also like you to complete the following:

(e) Determine the correlation?

(f) Interpolate -- How times would you expect a cricket to chirp at a temperature of 70 degrees?

(g) Extrapolate -- What would you expect the outside temperature to be for a cricket to chirps 60 times in 15 seconds?

STEP 7: SCATTER PLOT ASSIGNMENT

OUTCOMES F4, F6, F8, F9

For this assignment, we will be looking at the following question:

Is the Vitruvian theory that height is equal to arm span true for Canadian students today?

But what is the "Vitruvian Theory"?


Click HERE to access information on this theory.

Basically, Leonardo da Vinci drew a picture of a man standing inside a circle and a square. This is known as the 'Vitruvian Man'. It was based on a study of the proportions of the human body as described by Vitruvius, a Roman architect from the first century B.C. Based on his observations of European people of his day, da Vinci believed that arm span was equal to height in a perfectly proportioned body.

You will be trying to prove, or disprove, this theory.

Stats Can has created a database in which various students have voluntarily submitted information/measurements. Use website HERE to randomly select 20 students from Canada.

Use the information provided to create a scatter plot that proves, or disproves, the The Vitruvian Theory.

You will be focusing on STUDENT HEIGHT and ARM SPAN.


1. Draw a table of values using the information you obtained from the above website/random sample.

2. Graph height (y-axis) vs. arm span (x-axis). Be sure you use a reasonable scale for each axis.

3. Give your graph an appropriate title.

4. Draw a line of best fit and describe the relationship/correlation.

5. Show an example of interpolation and extrapolation on your graph.

EVALUATION

Click HERE to view the EVALUATION RUBRIC