A Detailed Lesson Plan in Mathematics (First Year—Secondary)

  A Detailed Lesson Plan in Mathematics (First Year—Secondary)

I.                    Objectives

At the end of the lesson, the students will be able to:

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.                  Subject Matter

                      Geometry (Transformations)

                         Reference: Geometry for Highschool Textbook

                         Materials: sheets of paper, protractor, tangram puzzles.

                         Values: creativity, determination, patience

III.                Procedure

A.     Learning Activities

Teacher’s Activity                “Good Morning Class...”                     “Let us pray first...”             (Checking of Attendance)                     ...say present...                            “Please pick up the pieces of paper                 under your chair” Presentation Activity - Folding of Paper The teacher will give an activity that involves the folding of paper and tracing of shapes. 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? Input Definitions: ·         Transformations ·         Reflection ·         Rotation ·         Translation ·         Dilation ·         Rigid Motion Theorems: ·         Theorem 18-1 ·         Theorem 18-2 ·         Theorem 18-3 ·         Theorem 18-4 ·           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.

Student’s Activity                “Good Morning Sir!”     (One Student will lead the Prayer)    (Students raise their hand and say present as the teacher calls in their name) (Students pick up the pieces of paper) (Students follow the instruction of the teacher)         (Students listen attentively)       (Conduct a solving on the board) (Students raise their hands and define the terms)          (Students listen attentively)                (Students perform)

IV.                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.