## pre-calculus 12 radical functions

**Specific Curriculum Outcome**

**RF13**Graph and analyze radical functions (limited to functions involving one radical).

## activities

**Pendulum Lab**- p76 Question 18 from the Precaluclus 12 textbook discusses a mini-lab using a pendulum. Sam Shah conducted a similar investigation with his students and described it on his blog. (Note that he swapped the x-y axis to model a parabola versus an Irrational function).

**Trail Ratings from Patrick Vennebush**- There is no standardized system for determining hiking trail difficulty. Most of the time, the trail rating is a nebulous qualitative combination based on an examination of the terrain, trail conditions, length, elevation gain, and the rater’s disposition. However, Shenandoah National Park has attempted to quantify this process. Their solution? The simple formula r = sqrt(2gd) where g is the elevation gain (in feet) and d is the distance (in miles). Ask students to draw an elevation map depicting a trail on which any type of hike (from easiest to very strenuous) would be possible, depending on how far a person hiked.