1. Contextualized Learning Activity Information and Communications Technology (SHSM) TGJ3MI Mathematics Functions and Applications MCF3MI SHSM Specialist High Skills Major

2. An SHSM allows students to experience a range of customized learning opportunities in an area that interests them, and helps to engage them in their school program. http://www.edu.gov.on.ca/eng/studentsuccess/pathways/shsm/sh sm_fact_sheet.pdf http://www.edu.gov.on.ca/eng/studentsuccess/pathways/shsm/sh sm_fact_sheet.pdf Contextualized Learning Activity

3. Mathematics Functions Multi-Media Assignment MCF-3MExemplar Photoshop animation and edited by Premiere Elements for audio, transitions and titles.

4. Mathematics Functions Multi-Media Assignment MCF-3MExemplar Photoshop animation gif file inserted into powerpoint

5. Mathematics Functions Multi-Media Assignment MCF-3MExemplar PowerPoint media can be used to show how the quadratic function is determined, as follows: Here’s a picture of the animation you just saw. The numbers are estimated.

6. In this example,, from the animation, we’ll assume person “A” is on the “0” metre line and that the x-axis passes through the players’ hands (this will simplify the calculations). AB ←x - axis ↑ 0 – metre line

7. If person A is on the “0” metre line; the zeroes for this parabola are therefore … (0,0) and (6,0). A

8. And the vertex is…(3,4).

9. Substituting these values (f(x)= 4; x = 3; s = 0; t = 6) into the zeroes or factored form f(x)=a(x – s)(x – t) gives…

10. f(x)=a(x – s)(x – t) gives: 4 = a(3 – 6)(3 – 0) 4 = a(-9) a = This would mean that the football’s path represents a parabola that opens down, with a maximum vertex of (3,6) and function equation (in zeroes or factored form) of… Now we have all the values we need for an equation of this function

11. Or, in vertex form: (This is zeroes or factored form).

12. Or, in vertex form: (This is zeroes or factored form). Finally, in standard form this is: