Semi-Detailed Lesson Plan in Mathematics (Transformations)

Level: First Year High School
Subjects: Mathematics, Geometry, Transformations

I. Objectives:

A. To recognize Euclidean transformations.
B. To recognize reflections, translations, and rotations.
C. To prove theorems related to transformations.
D. To solve problems involving transformations.
E. To apply transformations to real-world situations.
F. To create designs using transformations.

II. Materials:

papers, protractor, ruler
tangram puzzle
worksheets

III. Procedure:

A. Presentation

Activity - Folding of Paper
The teacher will give an activity that involves the folding of paper and tracing of shapes.

B. Discussion

From the activity, the teacher will point out that geometry is not only the
study of figures but is also the study of the movement of figures.

• Is the original figure congruent to the other figures?
• How does the second image compare to the original figure?

C. Input

Definitions:

• Transformations
• Reflection
• Rotation
• Translation
• Dilation
• Rigid Motion

Theorems:

• Theorem 18-1
• Theorem 18-2
• Theorem 18-3
• Theorem 18-4
  

C. Discussion

The above definitions and theorems will be discussed and proved. The teacher will ask the student to give examples of transformations.

D. Activity

Tangram Puzzle
The students will form six groups. Each group is going to make images of animals using tangram puzzle and they will identify the kind of transformation depicted or made after doing the activity.

E. Evaluation

Worksheet

1. Which of the following transformations creates a figure that is similar (but not congruent) to the original figure?
2. How can transformations be applied to real-world situations?

III. Assignment

Drawing
The student will use transformations to move figures and create designs.