Area & Probability – Learning Objectives

By the end of this unit, I can:

✅ Find the area of any two-dimensional or composite figure
✅ Use trigonometric ratios and special right triangles to find area
✅ Determine the area of regular polygons using formulas and trig
✅ Calculate geometric probability using shaded vs. total area
✅ Describe events using sample space, union, and complement
✅ Classify events as mutually exclusive or not
✅ Apply the Addition Rule to find the probability of unions
✅ Determine if events are independent or dependent
✅ Use the Multiplication Rule to find the intersection of independent events

Area & Geometric Probability

Today's Objective:

• I can find the area of composite and regular polygons.

• I can use geometric probability to solve real-world problems.

https://youtu.be/7rkjSPVBuZA?feature=shared

Steps

Key Points:

• Break complex shapes into basic ones (triangles, rectangles, circles)

• Label all dimensions before calculating

• Add areas together to find total

• If part is missing (shaded region), subtract the smaller shape from the larger.