Lesson 1: 5.1 Areas and Distances

- What shapes can be used in order to estimate the area under a curve?
- What values should be used to determine heights of rectangles up to the function?
- How many rectangles should ideally be used to be sure our estimate is accurate?
- Is our estimate an overestimate or an underestimate of the area?
- How is area under a curve related to distance/velocity?

- overestimate/underestimate
- right/left endpoints, midpoints

(Estimation of area under a curve.)

- Estimate area under a curve using rectangles
- Relate area under a curve to distance/velocity problems
- DOK levels 1-4

- distance/velocity
- force/displacement for work done
- energy consumption (kWh)
- drug dosage, medication absorption

Students may initially struggle with determining height of rectangles based on right or left endpoints or midpoints.

Homogeneous grouping and whole class discussion

section assessment

problems assigned from book