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Tangents Lesson Plan for Math 10

1) The lesson plan is about tangents, segments, and sectors of a circle. It aims to illustrate these concepts and prove theorems on secants. 2) The lesson will include drawing tangents to circles, analyzing how tangents relate to circles, and applying the concepts to real-life situations. 3) Key theorems to be covered include: a tangent line is perpendicular to the radius drawn at the point of tangency; if a line is perpendicular to a radius it is a tangent; common tangents can be either external and not intersecting the line between circle centers, or internal and intersecting this line.

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Jovie Mae Saban
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83 views3 pages

Tangents Lesson Plan for Math 10

1) The lesson plan is about tangents, segments, and sectors of a circle. It aims to illustrate these concepts and prove theorems on secants. 2) The lesson will include drawing tangents to circles, analyzing how tangents relate to circles, and applying the concepts to real-life situations. 3) Key theorems to be covered include: a tangent line is perpendicular to the radius drawn at the point of tangency; if a line is perpendicular to a radius it is a tangent; common tangents can be either external and not intersecting the line between circle centers, or internal and intersecting this line.

Uploaded by

Jovie Mae Saban
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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A SEMI DETAILED LESSON PLAN IN MATHEMATICS 10

I. Behavioral Objectives: At the end of the lesson, the learners are expected to:
1. illustrates secants, tangents, segments, and sectors of a circle and
2. proves theorems on secants.

II. Subject Matter


A. Topic: Tangents
B. Reference: Orlando A. Oronce, Marilyn O. Mendoza 2014, RBS Mathematics
Series e – math 10. Page 182- 177
C. Materials: book, board, chalk
III. Procedure
Teacher’s Activity
A. Preliminary Activities
a. Prayer
b. Greetings
c. Checking of Attendance
B. Review
C. Motivation
D. Presentation
E. Lesson Proper (4’As Method)
Activity: Brainstorming
Instructions: Line l in each number is tangent to circle O at N
N

O• N
O• O•
l l
l
N

1. Draw for the first and second circle.


2. Compare your result with the results of your classmates.
3. Complete: A tangent to a circle is _______________ to the radius drawn at the point of
tangency.
Analysis (Open Discussion)
 How do tangents relate to a circle?
 How would you apply the concepts on tangents to a real – life situation?
Abstraction
 Tangent to a circle. A line in the plane of the circle that intersects the circle at exactly
one point is called tangent line. The point of intersection is called the point of
tangency.
 Theorem 101. The tangent line theorem- if a line is a tangent to a circle, then it is
perpendicular to the radius drawn to the point of tangency.
 Theorem 102. The converse of the tangent line theorem. If a line is perpendicular to
a radius of a circle at the endpoint on the circle, then the line is a tangent to the
circle.
 Common tangent is a line or a segment that is tangent to two circles in the same
plane.
 Common external tangents do not intersect the segment whose endpoints are the
centers of the circles.
 Common internal tangents intersect the segments whose endpoints are the center of
the circles.
 Theorem 104. The tangent circles theorem. If two circles are tangent internally or
externally, then their line of centers pass through the point of contact.
Application
Understand each problem and answer what is ask.
I. In circle O, CT, ET are tangent segments and l is tangent to circle O at S.
1. m∠OCT = ________.
2. m∠OSI = _________.
3. If SN = 24 units, then OE = ___________.
4. If OS = 5 units and SI = 21 units, then OI = ________.
5. If CT = 15 units, then ET = _______.
N

C E

l
I S

Prepared by: Jovie Mae E. Saban


Check by:
ISIDRO CALAMBRO JR.

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