Lesson 1: 8.1 Arc Length

- Why is arc length different for functions versus arc length we learned in Geometry for circles?
- How can we apply an integral to calculate arc length?
- How is the arc length formula related to the Pythagorean Theorem?

- arc length (for functions)
- arc length function

(finding arc length of a graph of a function over an interval)

- Determine the length of the graph of a function over a specified interval
- DOK Levels 1-4

- engineering: designing suspension bridge cables, roller coasters, tunnels, etc.
- precise distances on curved roads, train tracks, flight paths
- rendering smooth curves in video game engines and 3D animations

Homogeneous grouping and whole class discussion

section assessment

problems assigned from book