Lesson start ideas	Give a creative idea how to begin a lesson
Which subject	Mathematics
What age group	Doesn't matter
What topic	3d trigonometry
Quantity	1
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Overview

Welcome, students, to the exciting world of 3D trigonometry! Today we’ll be diving into the fundamentals of this mathematical concept, and exploring how it can be applied to three dimensional shapes.

Objectives

By the end of this lesson, you'll be able to:

• Define 3D trigonometry and its fundamental concepts
• Understand how to apply these concepts to solve problems related to 3D shapes
• Identify real life applications of 3D trigonometry in fields such as architecture, engineering, and astronomy

Hook

Before we jump into the nitty gritty details of 3D trigonometry, let's start the class with a fun and interactive activity.

1. Divide the class into groups and hand out a sheet of paper, pens, and rulers.
2. Ask each group to draw a 3D shape of their choice - it could be a cylinder, pyramid, or any other shape.
3. Once the groups have finished drawing their shapes, instruct them to identify as many angle and length measurements as they can.
4. Challenge the groups to use their 3D trigonometry skills to calculate any missing angle or length measurements.
5. The group who calculates the most measurements correctly wins!

Prerequisites

Before moving forward with today's lesson, make sure you have a strong foundation of the following mathematical concepts:

• Trigonometry (sin, cos, tan)
• Pythagorean Theorem
• Basic geometry (shapes, angles, lengths)

Conclusion

By now, you should have a basic understanding of 3D trigonometry and how to apply it to solve problems related to 3D shapes. Stay tuned for the next class when we'll dive even deeper into the world of 3D trigonometry!