1. E-STAT and Function Modelling for the Grade 9-12 Math Curriculum Joel Yan and Jennifer Hall Statistics Canada, Ottawa

2. Curriculum Links  “Students will collect data that can be modelled as a [linear/quadratic/exponential/ sinusoidal] function… from secondary sources (e.g., websites such as Statistics Canada, E-STAT)” sinusoidal] function… from secondary sources (e.g., websites such as Statistics Canada, E-STAT)” Ontario Mathematics Curriculum

3. Step 1: Access the website www.statcan.ca/english/edu/mathmodel.htm

4. Step 2: Select a Dataset 1 2

5. Two Options for Step 2  Option 1: Table Number This allows you to specify the attributes you want to examine This allows you to specify the attributes you want to examine  Option 2: Vector Number Attributes are pre-selected for you Attributes are pre-selected for you

6. Step 3: Output Data  Once you have retrieved your data, you have several options within E-STAT for output: Screen Output formats: HTML, Plain text, etc. Screen Output formats: HTML, Plain text, etc. Downloadable File formats: CSV, PRN, etc. Downloadable File formats: CSV, PRN, etc. Graph formats: Line graph, Scatter graph, etc. Graph formats: Line graph, Scatter graph, etc.

7. Sample Graph Outputs  Linear function  Total population of Canada  Line graph with symbols

8. Sample Graph Outputs  Quadratic function  Males registered in apprenticeship programs  Vertical bar graph

9. Sample Graph Outputs  Exponential function  Farm value of potatoes  Line graph

10. Sample Graph Outputs  Sinusoidal function  Population of Canada aged 20- 24  Vertical bar chart

11. Sample Graph Outputs  Logistic function  Operating revenue of the cable industry  Scatter graph

12. Exporting Data  Fathom Select Plain text: Table, time as rows Select Plain text: Table, time as rows Copy only the data Copy only the data Paste in a new collection in Fathom Paste in a new collection in Fathom  Excel Select CSV: Time as rows Select CSV: Time as rows

13. Fathom Example Baby Boom

14. Curriculum Links “Students will create new functions by adding, subtracting, multiplying, dividing, or composing functions” “Students will create new functions by adding, subtracting, multiplying, dividing, or composing functions” MHF4U advanced functions curriculum, 2007 Ontario Mathematics Curriculum

15. Excel Example Federal Debt

16. Births during the Baby boom can be modelled by a quadratic function

17. Baby boom births can be modelled better by quadratic + sine function

18. Travelers to Canada can be modelled by linear + sine function

19. Canada’s rural population increased linearly from 1871 to 1971

20. Urban population increased exponentially 1871-1971

21. Total population 1871-1971 modelled by linear + exponential function

22. Lesson Plans  Linear (Grade 9) Life Expectancy Life Expectancy  Quadratic (Grades 10 and 11) Baby Boom Baby Boom Males in Apprenticeship Programs Males in Apprenticeship Programs  Exponential (Grades 11 and 12) Farm Value of Potatoes Farm Value of Potatoes  Sinusoidal (Grades 11 and 12) Marriages by Month Marriages by Month Canada’s Youth Cohorts Canada’s Youth Cohorts  Piecewise functions (Grade 12) Federal Debt in Canada (coming soon) Federal Debt in Canada (coming soon)

23. Lesson Plans Electronic versions are available at www.statcan.ca/english/edu/mathmodel.htm www.teacherweb.com/on/statistics/math  in E-STAT & Function Modelling folder

24. Data sets Fathom data sets are available at www.teacherweb.com/on/statistics/math  in the E-STAT & Function Modelling folder E-STAT & Function Modelling E-STAT & Function Modelling