LESSON PLAN
A. Identity School
: Mor Din Daeng Demonstration School
Subject
: Mathematics
Sub Subject
: Incribed angle and Center angle
Class
: M.3/1
Standar Competence
: Determine the element of circle, inscribed angles, and center angles
Basic Competence
: Know about inscribed and central angles and Applying the relation of central angle and inscribed in circle
Indicators
: 1. Redrawing central and inscribel angle 2. Identify central and inscribed angle 3. Differentiate central and inscribed angle 4. Define relation between central and incribed angle
B. Learning Objectives 1. Students can draw central and inscribed angles 2. Students identify central and inscribed angles 3. Students differentiate central and inscribed angles 4. Students define relation between central and inscribe angels C. Learning Material 1. Part of circle a. Radius b. Diameter c. Center Point d. Tali busur 2. Inscribed and central angles application in daily life : a Clock, a Disk, a Fan, etc 3. Inscribed and Central angles In the figure below,
APB is drawn in circle O by determining AB and then placing
poin P somewhere on the circumference beside AB.
Explanation : O
: Center Point
OA = OB
: Radius
P
: Point in Circumference Circle
PA = PB
: Chord
APB
: Inscribed Angle
AOC
: Central Angle
AB
: Arc
Incribed Angles is an angle whose point lies on a circle and whose sides are chords of the circle
Central Angles is point is at the center of a circle.
4. Relationship between the size of Inscribed Angle and Center Angle that intercept the same arc The size of Center angle = 2 * the size of inscribed angle D. Source/Material and Tool Source/Material
: Math 3 For Junior High School (Japan Book)
Tool
: Circle Picture, Student worksheet
Media
: Geogebra Application (Indonesia), Discovery Disk
E. Learning Methode Metde
: Open Approach
Mthode
: Dialogue, Discussion, assignment
F. Learning Activity A. Learning Activity Teacher
Students
Timer
Introduction
5 minutes
a) Apperception:
2 minutes
Teacher remind students about Student give respon by mention part of circle that they have some part of circle such as arc, known.
Ex
:
arc,
radius, radius, diameter, etc
diameter, etc b) Motivation:
2 minutes
Gives motivation about the Pay attention with the teacher’s importance of inscribed angle explanation. They can mention and central angle in daily life.
some thing such as clock, Disk, fan.
c) Goal:
1 minutes
Informing students about the Pay attention with the teacher’s learning objectives
explanation
Main Activity
35 minutes
a) Exploration:
25 minutes
1. Guid students to draw the 1. Try to draw the center and inscribed and center angle.
inscribed angle by themself.
2. Guid the student to define 2. The student try to define the the inscribed and center
inscribed and center angle by
angle.
themself.
3. Guid the student to know 3. Students try to use discovery better
the
inscribed
the
inscribed and center angle.
disk (tool) for they know better about the inscribed and center
angle. 4. Give
students
contextual
some 4.
problems
in
Students
do
worksheet
individually.
worksheet 5. Guiding students which is do 5. Students ask the teacher if they not understand the problem
don’t know about step to do the
in worksheet.
exercise
6. Guide students to discuss 6. Share idea/opinion/answer about the problem 7. Choose a student to present 7. Present their work in front of their work in front of class
class
8. Giving chance for student to 8. The student ask what they do ask about the problem in the
not understand in that problem
worksheet b) Elaboration:
5 minutes
1. Make the condition of class to 1. Back to the normal class be normal 2. Guides
students
with
the 2. Answer the question by mention:
is
the
the relationship between the size
relationship between the size
of inscribed and central angle that
of inscribed and central angle
intercept the same arc
question:What
that intercept the same arc c) Confirmation:
5 minutes
1. Ask the students to find out 1. Explain what they still do not what they do not understand
understand
2. Do dialogue to make clear 2. Continuing the dialogue until students’ understanding and
understand about the material
give feed-back 10 minutes
Closing 1. Guides
students
reflection
to
make 1. Help the student to remind what are inscribed and center angle, what is the relationship between the size of incribed angle and center angle that intercept the
2. Close the lesson
same arc 2. Students
together
close
the
lesson.
G. Evaluation Individual test (essay)
Activator - Central and Inscribed Angles Directions: Measure each central and inscribed angle for each circle. Record your measurements in the chart. B
C
A 1.
2.
O
O
A
C
B
B
3. A
O
D
C
Ci rcle 1
Circle 2
Circle 3
AC
AC
ADC
Circle
Central Angle Inscribed Angle
From exercise above that you’ve done, what is the relationship between the size of inscribed angle and central angle ?