Dorchester 2 04-145-2025 Day 1 Area/Probability Unit

Open Ended

Decipher the word plexers. Write the number then the phrase. Include the examples in your response,.

Examples: 5-head for cover; 6-exlevator out of order

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.

Math Response

Find the total area. Input the value only.

Type answer here

Correct Answer: 114.5

Deg^°

Rad

Math Response

Find the total area. Input the value only.

Put your work in the chat.

Type answer here

Correct Answer: 88

Deg^°

Rad

Math Response

Find the total area. Input the value only.

Put your work in the chat.

Type answer here

Correct Answer: 150

Deg^°

Rad

Fill in the Blanks

Find the total area. Input the value only.

Put your work in the chat.

Poll

What is your level of confidence of today's lesson?