Mindanao State University - Iligan Institute of Technology
College of Education
INTEGRATED DEVELOPMENTAL SCHOOL
Course Number:
Math 3
Course Title: Geometry
Credit(s) Earned:
1 unit
Course Description: This is a 1 unit subject offered to the second year students of the Integrated Developmental School. This course deals with the measurement,
properties and relationships of points, lines, angles, planes, and solids. It provides students with the opportunity to develop mathematical reasoning. Reasoning
mathematically means developing and testing conjectures through Deduction. Students will learn how to follow a proof and to determine whether a proof is valid or
invalid. They will learn to write simple proofs and some difficult proofs. Algebra skills will also be integrated throughout each chapter and reinforced within the
Geometry exercises.
Objectives:
At the end of the course the students are expected to:
1. acquire information about geiometric figures in the plane;
2. have an understanding of the deductive method as a way of thinking and skills in applying this method to mathematical situations;
3. improve their ability to analyze mathematical situations;
4. develop their logical and creative thinking;
5. solve geometric and related problems;
6. use Algebra as a tool in Geometry;
7. develop self-confidence, honesty, diligence, cleanliness, and other virtues;
8. learn to appreciate Mathematics;
9. relate Geometry to real life situation.
Teacher
Resources
Specific Objectives
Course Content/Topics
CHAPTER 1
Exploring the
Language of Geometry
Identify the parts of
Euclid's Axiomatic
Method
Undefined terms,
Definitions, Postulates
and theorems
Textbook
Name, describe
and draw models
of points, lines, and
planes
Relationships among
Points, Lines and
Planes
Textbook,
drawing
materials
Use absolute value
to find the distance
between two points
Line segments and
Their Measures
Identify angles and
measure angles
Angles and their
Measures
Textbook,
drawing
materials
Textbook,
drawing
materials
Identify angle pairs
and perpendicular
lines
Angle Pairs and
Perpendicular Lines
Textbook,
drawing
materials
CHAPTER 2
Identify polygons
and parts of the
polygon
Identify triangles
and quadrilaterals
based on sides and
angles
Use Schematic
diagram/paper
folding/drills/boardwork
and seatwork
Identifying Geometric
Shapes
Polygons
Triangles and
quadrilaterals
First Quarter
Teacher Activities
(Method and Strategies)
Lecture-Discussion/
Inductive/deductive/
drills/boardwork and
seatwork
Textbook,
internet and
audio visual
presentation
Textbook,
internet and
audio visual
presentation
Collaboration
Partner
Project Scenario
Evaluative
Measurement
Seatwork;
Assignment;
Quizzes
Time Allotment
7 hrs
Seatwork;
Assignment;
Quizzes
8 hrs
Apply the Triangle
angle sum
theorem, Interior
angle sum theorem
and the exterior
angle sum theorem
Identify
polyhedrons and
construct models of
polyhedron
Angle Measures of a
Polygon
Textbook,
internet and
audio visual
presentation
Polyhedrons
Textbook,
internet, audio
visual
presentation and
drawing
materials
CHAPTER 3
Measuring Geometric
Figures
Compute the
perimeter of any
polygon and
circumference of a
circle
Perimeter of a polygon
and Circumference of a
Circle
Compute the area
of special
quadrilaterals,
triangles, regular
polygons and
circles. Apply to
real life problem
solving
Area of Rectangles and
Squares,Parallelograms,
Triangles, Trapezoids,
Regular Polygons and
Circles
TLE
Students will look
for recyclable
materials to be
used to Construct
polyhedrons
Seatwork;
Assignment;
Quizzes
Expository/Problem
Solving/problem
set/drills/boardwork and
seatwork
8 hrs
Textbook
Textbook
English
Second Quarter
Challenge
students to
create a story
page with
tangrams for
animals that
could be added
before the end of
the story.
Specific Objectives
Course
Content/Topics
CHAPTER 4
Using Logic of
Geometry
Create geometric
conjectures based
on deductive and
inductive reasoning
Write the converse,
inverse and
contrapositive of
conditional
statement
Inductive and
Deductive
Reasoning
Conditional,
Converse, Inverse,
Contrapostive and
Biconditional
Statements
Teacher
Resources
Teacher Activities (Method
and Strategies)
CHAPTER 5
Direct Proof
Proving
Congruence of
Traingles
Project Scenario
Lecturediscussion/cooperative
learning/group
reporting/drills/boardwork
and seatwork
Evaluative
Measurement
Seatwork;
Assignment;
Quizzes;
Reporting
Time Allotment
7hrs
textbook and
references
English
textbook and
references
-Use properties of
equality and real
numbers in
geometric proof
-Use logical
reasoning in
making proofs
Collaboration
Partner
Select an
advertisement or
ad that is
considered legal
and moral and
change the given
ad statements to
converse,
inverse,
contrapositive
and biconditional.
textbook and
references
Lecturediscussion/cooperative
learning/group
reporting/drills/boardwork
and seatwork
Seatwork;
Assignment;
Quizzes and
Reporting
10 hrs
Congruent Triangles
Use inductive skills
to establish the
conditions or
correspondence
sufficient to
guarantee
congruence
between triangles
Apply deductive
skills to show
congruence
between triangles
Recognize and use
tests for
congruence of right
triangles
Apply the isosceles
triangle theorem
and its converse in
proving triangle
congruences
determine the
relationship
between medians,
angle bisectors and
altitudes of
triangles
Textbook,
internet and
audio visual
presentation
Test for Triangle
Congruence(SAS,
ASA and SSS
Postulates)
AAS and Right
Triangle Congruence
Theorems
video clips
textbooks
worksheets
textbook and
references
Isosceles Triangle
Theorem and its
Converse
video clips
textbooks
worksheets
Medians, altitudes
amd Bisectors of
triangles
Textbook,
internet and
audio visual
presentation
Apply triangle
inequality theorems
in finding the
relationships of
sides and angles of
a triangle
Inequalities in
Triangles
textbook and
references
CHAPTER 6
Recognizing
Parallel lines and
Their Implications
Expository/discovery/written
exercises/boardwork
Seatwork;
Assignment;
Quizzes
7hrs
Identify parallel
lines, and skew
lines
Name angle pairs
formed when a
transversal
intersects two lines
and 2 parallel lines
-Identify the
relationship
between pairs of
angles formed by
parallel lines and
transversal
-Prove two lines
are parallel based
on the given
relationship.
Parallel Lines, their
properties and
Transversals
Textbook,
internet and
audio visual
presentation
Conditions for
Parallel Lines
video clips
textbooks
worksheets
English
T.L.E
Draw a picture,
series of pictures,
or write a poem
or story
illustrating how
different the world
would be if there
were no parallel
lines.
Third Quarter
Specific
Objectives
Course
Content/Topics
CHAPTER 7
Identifying
Quadrilaterals
Determine the
properties of a
parallelogram
Parallelogram
and Its
Properties
Teacher
Resources
Teacher Activities
(Method and Strategies)
LectureDiscussion/individual
reporting/drills/boardwork
and seatwork
textbook and
references
Collaboration Partner
Project
Scenario
Evaluative
Measurement
Seatwork;
Assignment;
Quizzes and
reporting
Time
Allotment
7hrs
Recognize
and apply the
conditions that
a quadrilateral
is a
parallelogram
Recognize
and apply the
conditions that
a
parallelogram
is a rectangle,
square, or a
rhombus
Recognize
properties of
trapezoids and
use them in
constructing
prooss
CHAPTER 8
Define ratio
and proportion
Tests for
Parallelograms
and the special
types of
parallelograms
video clips
textbooks
worksheets
Trapezoids
Recognizing
Similarities of
Geometric
Figures
Ratio and
Proportion
textbook and
references
Textbook,
internet and
audio visual
presentation
Expository/Cooperative
Learning/scale
Drawing/drills/boardwork
and seatwork
Chemistry
The students
will make
notes on the
ratio of the
chemicals
used in some
chemical
reactions,
especially in
their
experiments.
Ex. for water,
H2O, the
ratio is 2:1.
Recognize
similar figures
and polygons
Apply the
definition and
properties of
similar
triangles in
calculating
certain lengths
of sides and
measures of
angles.
Similar
Polygons
Similar
Triangles
textbook and
references
Relationships of
Parts of Similar
Triangles
video clips
textbooks
worksheets
English
Photo Essay
-students will
take 5
pictures of
similar
geometric
figures they
can see
inside IIT
campus.
-students will
write an
essay about
the best
picture they
have taken
and will also
be submitted
to their
English
teacher.
CHAPTER 9
Determine the
relationship
between the
sides and
angles of a
right triangle
Apply
pythagorean
theorem to
real life
problems
Investigate on
the
relationship of
the sides of
30-60-90 and
45-45-90 right
triangles
Highlighting
the Special
Properties of
Right Triangles
Properties of
Right Triangles
video clips
textbooks
worksheets
Pythagorean
Theorem and Its
Converse
textbook and
references
Special Right
Triangles
video clips
textbooks
worksheets
Specific Objectives
Seatwork;
Assignment;
Quizzes
LectureDiscussion/Discovery by
Geoboard/paper
folding/Practical work
and problem
solving/drills/boardwork
and seatwork
Course
Content/Topics
Teacher
Resources
7hrs
Read more: Geometry Projects About
Triangles | eHow.com
http://www.ehow.com/info_8549998_geometryprojects-triangles.html#ixzz29ilg75qG
Fourth Quarter
Teacher Activities
Collaboration
(Method and Strategies) Partner
Project Scenario
Evaluative
Measurement
Time Allotment
LectureDiscussion/Practical
work/drills/boardwork
and seatwork
CHAPTER 10
Identifying Parts of
Circles and Their
Relationship
Define a circle and
identify terms
related to it
Arcs and Angles
Inscribed Angles
Intercepted Arcs
chords
Textbook
State and apply the
properties of lines
tangent and secant
to a circle in solving
problems
Tangents and
Secants
video clips
textbooks
worksheets
Apply properties
involving
relationships
among arcs, central
angles, chords, and
inscribes angles in
solving problems
Angles Formed by
Chords, Secants, and
Tangents
video clips
textbooks
worksheets
Use properties of
segments, chords,
tangent, secant to
solve problems
Lengths of Segments
in a Circle
video clips
textbooks
worksheets
CHAPTER 11
Finding Surface
Area and Volumes
Recognize the
following common
solis and compute
their surface area
Surface Area of
Prisms, Cylinders,
Pyramids, Cones and
Spheres
Expository/Problem
Solving/problem
set/drills/boardwork and
seatwork/Field Trip(Math
Trail as a culminating
activity)
Textbook
Seatwork;
Assignment;
Quizzes
8hrs
Seatwork;
Assignment;
Quizzes
8hrs
Solve problems
involving volumes
of solids
CHAPTER 12
-Apply distance and
midpoint formulas
in word problems
-Recall basic
concepts on slope
and the equations
of the line
Solve problems
involving parallel
and perpendicular
lines
Volumes of Prisms,
Cylinders, Pyramids,
Cones and Spheres
Exploring Plane
Coordinate
Geometry
Recall: The
Coordinate System
Recall: The Distance
and Midpoint
Formulas and Slope
of the Line
video clips
textbooks
worksheets
Seatwork;
Assignment;
Quizzes
Recall/LectureDiscussion/Practical
work/drills/boardwork
and seatwork
8 hrs
concept map
Recall: Equation of a
line and Parallel and
Perpendicular Lines
video clips
textbooks
worksheets
Determine the
equation of a circle
given certain
conditions
Circles in the
Coordinate Plane
textbook and
references
Verify properties of
triangles and
quadrilaterals using
coordinate proofs
Analytic Proofs in
Coordinate Geometry
textbook and
references
TLE
Project: String Art
Design
Textbook:
"New Trends in MATH SERIES(GEOMETRY III)
"
" Second Edition
by: Soledad J. Dilao & Rommel S. Quiming
Vibal Publishing House, Inc. "
References:
1. Geometry Metric Edition by: Moise and Downs; Addison-Wesley Publishing Company
2. Geometry by: Clemens, O'Daffer, et al.; Addison-Wesley Publishing Company
3. e-Math(Geometry) by: Oronce & Mendoza; Rex Book Store
"Grading System: Averaging
Components:
50% - Quizzes
15% - Seatwork/Assignment/Class Participation
"Prepared by:
Prof. Josie Vic D. Mendoza"
30% - Quarter Exam
5% - Project
"