Mathematics Class: Triangles and Their Properties

Mathematics Class

• Learning Competencies:
  • Classify triangles by angles and sides.
  • Illustrate, name, and identify different types of triangles.
  • Define associated triangle terms.

Activity

• Guess the Gibberish:
  • Ice Sauce Sell Less - Isosceles
  • Try Young Eagle - Triangle
  • Enter Your - Interior
  • Birth Text - Vertex
  • All Teeth Dude - Altitude

Discovery Approach and Search Pattern Searching (DAPS)

• This is a method for learning about triangles.

Real-Life Objects That Resemble Triangles

• Examples were provided, but details were not included.

What is a Triangle?

• A polygon formed by three segments joining three non-collinear points.

Types of Triangles (by Sides)

• Equilateral Triangle: All three sides are equal, and all three angles are equal.
• Isosceles Triangle: Two sides are equal, and two angles are equal.
• Scalene Triangle: All three sides are unequal, and all three angles are unequal.

Types of Triangles (by Angles)

• Acute Triangle: All three angles are acute (less than 90°).
• Right Triangle: One angle is 90°.
• Obtuse Triangle: One angle is obtuse (greater than 90°).

Basic Parts of a Triangle

• Vertices: Points where two sides meet.
• Sides: Line segments joining vertices.
• Interior Angles: Formed by two consecutive sides at a vertex.
• Exterior Angles: Formed by one side and the extension of the adjacent side.
  • Sum of interior angles is 180°.
• Altitude (or Height): Segment from a vertex perpendicular to the opposite side.
• Exterior Angle: Angle formed by one side of a triangle and the extension of an adjacent side.

Secondary Parts of a Triangle

• Angle Bisector: Divides an angle into two equal parts.
• Perpendicular Bisector: Line perpendicular to a side and passes through its midpoint.
• Median: Segment from a vertex to the midpoint of the opposite side.

Seatwork

• Answer Exercise 2.3 Mental Math nos. 1-9 on page 98 of your Mathematics textbook.

Self-Evaluation

• Reflect on what you found challenging and how you can get help.

Takeaway

• Appreciating creativity improves ability to work from different cultures and makes a positive difference in communities.

One Word to Sum It Up

• (No specific word was given)

Closing Prayer

• (No specific prayer details were included).