Nov. 15 Class

New Unit: Sinusoidal Functions


Handout: Unit 6 Daily Plan

Handout: Periodic behaviour worksheet


Today we discussed what it meant for a something to be periodic.  If a behaviour is periodic, it means it repeats itself over and over again at regular intervals.  For example:

A see saw.

Any ride at an amusement park.

The four seasons.

The vibration of a tuning fork.

When we graph these behaviours over time we get periodic functions.  These are functions that repeat themselves at regular intervals.

Examples:

Periodic: the pointy shape repeats itself every 4 units.

Periodic: Both the red and green graphs repeat themselves every 2 pi.

Periodic: It doesn't matter how complicated the shape is, if it repeats itself at regular intervals, it is periodic.

Non-periodic:  It looks like it repeats itself on the right side, but the left side definitely does not repeat.

Non-periodic: The shape repeat itself, but it is getting smaller each time, so it is non-periodic.

A circle itself is not a periodic function, but if you were to graph the height as you move around the circle, you do get a periodic function.

We then then graphed a periodic function and used it to make predictions.


Homework: P. 330 # 1-13