SUBJECT AREA
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Geometry
|
QUARTER
|
Third
|
YEAR LEVEL
|
Year III
|
DURATION
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3 days/wk
|
SCHOOL YEAR
|
2012-2013
|
Number of Minutes
|
60/ Period
|
PREPARED BY:
|
Ronith Nikki Pacis
|
I.
Objectives
At the end of the lesson, the students will be able to:
A.
To be familiar with Euclidean transformations.
B. To distinguish 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 make designs using transformations.
B. To distinguish 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 make designs using transformations.
(The students shall
engage in learning process and shall study the Euclidean transformations and
differentiate the types of it. In the process, they shall prove theorems and
solve problems. To activate what they have learned then, they shall apply
transformations in real world and make designs using transformations.)
I.
Subject Matter
Geometry (Transformations)
· Reference: Geometry for Highschool Textbook
· Materials: sheets of paper, protractor, tangram puzzles
colored paper
· Values: creativity, determination, patience,
resourcefulness,
obedience
(The
students shall be provide the materials needed for their activities, we can
tell how obedient the students by complying on the said materials needed and
also how resourceful they are for some might use other materials.)
II.
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 Ma’am!”
(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)
(Students
raise their hands and define the terms)
(Students listen attentively)
(Students perform)
|
(Before the class begins we shall start the class
with a prayer for the honouring of our Divine Creator.
I shall check the attendance (monitoring student’s
performance) then, I shall ask them to clean their places to help them
concentrate on the run of the discussion (pleasant learning environment)
I chose the folding of paper as our activity
since:
Ø It teaches students how to follow directions,
Ø encourages
cooperation among students,
Ø improves motor skills, and
Ø it helps develop multi-cultural awareness.
Ø It can be a great source of fun for students and
Ø To make the discussion of lesson less serious
Ø It exercises hand muscles of students
While
on tracing of shapes:
Ø It incorporate color recognition, fine motor
skills, numbers, and concepts such as large and small.
* Discussion
This section is divided in steps
Step 1: Pre-listening
Here, I shall point out to my students that Geometry is not only a
study of figures but also its movement. And I shall give them the following
principle questions:
Is the original figure congruent to the other
figures?
How does the second image compare to the original
figure?
Step 2: Participation
I shall ask some volunteers in the class to compare the figures in the
board
Step 3: Comprehension Questions/Terms
I shall give sets of terms and I shall ask them to define each. Also,
I shall give them different theorems and ask them to tell about it.
Step 4: Discussion Principle Questions
We shall then, answer the principle questions I provided at the
beginning of the class and discuss the figures in the board.
Step
5: Post Discussion
We will discuss the definitions and we will prove the
theorems
Step 6: Activities
I shall ask the students to form into groups
Group work enhance the student’s learning through a collaborative process, aside from that they shall value placed on teamwork skills, also it saves time and energy
Group work enhance the student’s learning through a collaborative process, aside from that they shall value placed on teamwork skills, also it saves time and energy
III.
Evaluation
Did students:
1) Learn to differentiate reflections, translations, and rotations?
2) Learn to prove theorems regarding
Transformations?
3) Value creativity, determination, patience,
resourcefulness, obedience
4) Learn how to make use of Transformations in
real life?
(I shall observe my students first. Before I end
the class, I shall ask them if they have clarifications or any questions in mind.
And then, if ever there are, I shall resolve it by clarifying them out. I shall
also ask if everyone has followed the flow of the lesson, if they learned or
they have some difficulties understanding some parts of the lesson.)
Assignment
Drawing
The student will use transformations to move figures and create designs.
Drawing
The student will use transformations to move figures and create designs.
(With their assignment I shall be able to know if
my students have learned and I can test the results of evaluation also through
this.)