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).

This quiz focuses on classifying triangles by their angles and sides, as well as illustrating, naming, and identifying different types of triangles. Dive into triangle terminology and engage in fun activities while enhancing your understanding of this fundamental geometric shape.