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Transcript
Assignment 3:
Name: VICENTE, ROSALIA ALCANTARA
School: Ernesto Rondon High School
Part 1: 10 Learning objects (LO)
Title of LO
Short description
1.Coordinate
Plotting points on a
graph
2. Triangle
Sum angles in a
Triangle
Pythagorean
Theorem
useful
4. Coordinate
Find the distance
between two points
useful
5. Angle
Animation to show
angle bisector
useful
6. Triangle
Congruence 2
useful
7. Triangle
Congruence 3
useful
8. Triangle
congruence 4
useful
9. Triangle
Congruence 5
useful
10. Triangle
Congruence 6
useful
3. Triangle
Useful or
not useful
useful
useful
If useful, describe an activity how you
can use it
This can be used to get the students
recognize the use of Cartesian coordinate
plane in plotting points and identifying the
points and its coordinates on it.
This can be used to illustrate that the
sum of the angles of triangle is 1800.
This can be used to prove and
strengthen that the theorem really works
in all right triangles.
This can be used as an application of
the formula in getting and showing the
distance or length of two points in a
coordinate plane.
This can be used to show how angle
bisector be constructed and also to
strengthen the students’ knowledge on
Angle Bisector.
This can be used as an illustration in
proving the ASA Triangle Congruence
Theorem
This can be used as an illustration in
proving the HyL Right Triangle
Congruence Theorem
This can be used as an illustration in
proving the SAS Triangle Congruence
Theorem
This can be used as an illustration in
proving that
the
SSA
Triangle
Congruence
does
not
guarantee
congruence between two triangles.
This can be used as an illustration in
proving the SSS Triangle Congruence
Theorem
Part 2:
LESSON PLAN
SUBJECT: Mathematics
TOPIC: Geometry
TITLE: Congruent Triangles Theorem (SSS)
LEVEL OF STUDENTS: Third Year Secondary level
TIME REQUIRED: 50 minutes
KNOWLEDGE REQUIRED BEFORE THIS LESSON:
1. Properties of Real Numbers
2. Definition of Congruent Triangles
OBJECTIVES
Students at the end of the lesson will be able to:
a. state the equivalence relation for segments and angles,
b. use SSS Congruence Postulate to show triangle congruence, and
c. develop cooperation among the group and use time wisely in doing the task.
LESSON PROPER:
Time
Introduction
What teacher is doing
What students are doing
a. Teacher will help the students a. Students must be able to give
to recall the properties of real
the following:
numbers. List down the
1.Reflexive Property:
properties on the board.
a=a
2.Symmetric Property:
If a = b, then b = a
3.Transitive Property:
If a = b, and b = c,
then a = c
b. Reviews the definition of b. Students must be able to give
congruent triangles. Place two
the definition of congruent
physical models of triangles on
triangles, label the vertices of
the board. Call on students to
two triangles and list down the
label the vertices. Using these
corresponding parts of two
figures let the students list
congruent triangles.
down
the
corresponding
congruent parts.
Activity
Conclusions
Gives each student a copy of
Let the students do the
the worksheet. During the activity worksheet in group. (4 members in
the teacher will guide the students each group)
in order to assure that they are on
the right tract.
a. The teacher assists the students a. Students can present their
in presenting their group
results; share their findings
works.
with their classmates.
b. The teacher leads the students b. Students have to state the SSS
by using the applet for
Congruence Theorem
Triangles – Congruence 6
showing the SSS Congruence
Theorem to see that the two
triangles are congruent based
on the conditions that the three
sides of one triangle are
congruent to the
three
corresponding sides of the
other triangle.
Assessment
And follow-up.
Asks the students to bring out
Let the students answer the
and open their reference book on a exercises given on the Geometry
certain page that will surely help Workbook
the students understand further the
lesson.
Worksheet:
Directions: Work as a group cooperatively. Do the worksheet as indicated.
1. Draw Triangle TUE on a piece of paper.
2. On another sheet, draw Triangle WED such that TU ≡ WE, UE ≡ ED and TE ≡ WD.
3. Using a sheet of patty paper trace ∟W, ∟E, ∟D; and put ∟W over ∟M; ∟E over
∟O, and ∟D over ∟N. What relationship can you give between the pair of angles?
4. Cut the triangular regions and compare by placing WED upon MON. What have you
noticed? List down all the observations you make.
5. Give conclusion about the relationship between two given triangles.