Contextualized Learning Activity

Information and Communications Technology (SHSM)TGJ3MI

Mathematics Functions and Applications MCF3MI

SHSM Specialist High Skills Major

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/shsm_fact_sheet.pdf

Contextualized Learning Activity

Mathematics Functions Multi-Media Assignment

MCF-3MExemplar

Photoshop animation and edited by Premiere Elements for audio, transitions and titles.

Mathematics Functions Multi-Media Assignment

MCF-3MExemplar

Photoshop animation gif file inserted into powerpoint

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.

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).

A B

←x - axis

↑ 0 – metre line

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

A

And the vertex is… (3,4).

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…

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

Or, in vertex form:

(This is zeroes or factored form).

Or, in vertex form:

(This is zeroes or factored form).

Finally, in standard form this is: