Mindanao State University - Iligan Institute of Technology
College of Education
INTEGRATED DEVELOPMENTAL SCHOOL
Course Title: Math 2 (Intermediate Algebra)
Course Description
Time Limit:
General Objectives: This course aims to:
Specific
Objectives
1.Review the
following
concepts: a.
sets and set
operation Recall
basic concepts
and skills on
real numbers.
1.1 Perform
operation on
real
numbers.Revie
w the definition
of the basic
terms in
algebra.
Course
Content/Topic
s
1.Review on
the following
concepts:
a. Set and Set
operations
b. Operations
on Real
Numbers
c. Algebraic
expressions
and evaluation
First Quarter
Teacher
Activities
(Method and
Teacher Resources
Strategies)
Textbook and On line resources
Chalk and
http://www.math.hawaii.edu/~williamdemeo/Math37 board; Use of
1Visual Aids like
Summer2011/SetOperationsAndVenDiagrams.pdf
powerpoint;Us
Kuta Software
e of Venn
Diagrams
Collaboratio
n Partner
SS
Project
Scenario
Investigate on
the different
resources
found in
Asia/Philippine
s and
determine the
amount of
income it
generates.
Through this,
they could
gather data
and use their
knowledge of
real numbers
Evaluative
Measurement
Seatworks; Quizzes;
Muddiest Point;
Rubrics
Time
Allotmen
t
1.2
Demonstrate
skill in
evaluating
numerical
expressions
involving series
of operations
and grouping
symbols.
1.3
Manifest
knowledge of
and skill in
evaluating
algebraic
expressions
and formulas
Order of
Operation
2.
Manifest
knowledge and
understanding
of the terms and
definitions
related to the
rectangular
system.
2.1
Demonstrate
skill in graphing
straight lines.
2.2
Exhibit
the ability to
identify
necessary
information
needed to write
the equations of
straight lines.
Equations of
Straight Lines
Math GV Software; Graphing Board; Chalk and
Board
Demonstration
Geometry
Form polygons
by the use of
cartesian plane
and computer
program
Seatwork;
Assignment; Quizzes
Solve systems
of Linear
equations in two
variables using
elimination and
substitution
method.
3.1Solve
systems of
Linear
Equations in
three variables.
Systems of
Linear
Equations in
two variables.
Systems of
Linear
Equations in
three variables.
Matrices
3.2Define
Matrix
3.3a Make an
Augmented
Matrix and
Solve system of
Linear
Equations using
matrices.
3.4Evaluate 2 x
2 and larger
determinants by
expansion of
minors.
3.5Derive the
Cramer’s Rule.
3.5.5a Apply
Cramer’s Rule
to a system of
Linear
Equations with
Determinants
Textbook; Chalk and Board; Web site: Kuta
software .com
•
Exposition
•
Drill
Exposition
Practice and
Consolidation
Mathematical
Exploration
Practice
Discovery
Method
Exposition
Drill and
Practice
Exposition
Cramer’s Rule
Consolidation
and
Practice
Solving
Systems of Non
linear equation
Deductive
Method
Solving
Systems of
Inequalities
Drill and
Review
Consolidation
and Practice
Problem
Solving
Seatworks;
assignment; quizzes
two to three
unknowns.
3.5.5b
Determine
when Cramer’s
Rule does not
apply
3.6 Solving
systems of non
linear Equations
3.7Be able to
solve system of
linear
inequalities.
3.8 Be able to
solve word
problem
applications.
4.Apply the
rules in special
products in
finding the
products of
polynomials
Special
Products
Specific Objectives
5.Factor polynomials using
the different methods of
factoring.
6.Be able to define quadratic
Textbook;Power Point Presentation;Flash Cards
Course
Content/Topics
Factoring
Solving Quadratic
Discovery
Method; Drill
and Review
Second Quarter
Teacher Activities
(Method and
Teacher Resources
Strategies)
PowerPoint
Discovery Method;
Presentation;Flash Cards;
Drill and Review;
Chalk and Board ; Worksheets Lecture: Group Activity
Power Point; Flash Cards;
Micro Lesson on
Seatworks;assignmen
t; quizzes
Collaboration
Partner
IT/Geometry
Project
Scenario
Together
Evaluative
Measurement
Seatwork;
Assignment:
Quizzes
Rubrics for
Time
Allotment
equations.
6.1 Solve quadratic equations
by extracting the square roots
6.2 Solve quadratic equations
by factoring
6.3 Solve quadratic equations
by the quadratic formula.
6.4 Find the discriminant of a
quadratic equation.
6.5 Find the sum and Product
of roots of a Quadratic
Equation.
6.6 Solve word problems
involving the application of
quadratic equations.
6.7 Solve Quadratic
Inequalities
Equations
By: Factoring,
Completing the
Square, Quadratic
Formula
Chalk and board; textbook;
Quadratic Equations;
Project based learning
(Develop a web quest
on quadratic
Equations) Lecture;
Drill
Define Rational Algebraic
Expressions.
Rational Algebraic
Expressions and
Textbook; Chalk and Board;
Try to connect to real
life situation. Be more
with IT
students will
be exposed
to a web
quest on
quadratic
equations
and after
they have
completed
their web
quest they
will make or
develop their
own web
quest and
will be given
to other
group
members.
Another
collaboration
can be done
with
Geometry;
they can
enhance
their skills in
solving
quadratic
equations if
we can
integrate it in
solving for
missing
sides or
angles of a
triangle.
their design
presentation;
Seatwork;
assignment;
Quizzes
Journal
Writing;
7.1 Simplify Rational
Algebraic expressions.
7.2 Perform operation on
Rational Algebraic
Expressions.
7.3. Identify complex rational
expressions and solve it.
7.4 Solve Rational Algebraic
Equations.
7.5 Solve Word Problem
Application of Rational
Algebraic Equations.
7.6Solve Rational Inequalities
Specific Objectives
8.Write an equation
expressing direct variation.
8.1 Find the constant of
variation and solve direct
variation problems
8.2 Solve inverse variation
problems
8.3 Solve joint variation
problems
8.4 Solve combined variation
problems.
9.1Simplify expressions with
Integral and rational
exponents
Equations
Course
Content/Topics
Direct Variation
Direct Square
Variation
Inverse Variation
Joint Variation
realistic in presenting
the word problem
application. Lecture
and Drill Method
Third Quarter
Teacher Activities
(Method and
Teacher Resources
Strategies)
Textbook;Chalk and Board;
Problem Solving and
Group Activity
Textbook; Chalk and Board
Laws of Exponents
Scientific Notation
Lecture and Drill
Method
Seatwork;
Assignment;
Quizzes
Collaboration
Partner
Physics
Project
Scenario
Students will
be asked to
identify the
different
formula in
Physics that
involves
variation.
Evaluative
Measurement
Rubrics;
Assignments;
seatworks;
quizzes
Time
Allotment
10. Define radical
expressions.
10.1 approximate radical with
irrational roots
10.2 manipulate expressions
with radical expressions.
10.3 simplify radical
expressions.
10.4 perform operations on
radicals
10.5 solve radical equations
10.6 solve word problems
involving radical equations.
Specific Objectives
11. Identify sequence
11.1 Solve Arithmetic
Sequence
11.2 Derive formula for the
nth term of an arithmetic
sequence.
11.3 Use sequences to solve
applied problems.
11.4 Use summation notation
to evaluate a series
11.5 Write a series using
summation notation
Radical Expressions
Approximating
Radicals with
irrational roots
Simplifying Radicals
Operations on
Radicals
Solving Radical
Equations
Problems Involving
Radical Equations
Complex Numbers
Course
Content/Topics
Sequence
Arithmetic Sequence
Arithmetic Series
Geometric Sequence
Textbook; Chalk and Board
Lecture and Drill
Method;
Demonstration
Fourth Quarter
Teacher Activities
(Method and
Teacher Resources
Strategies)
Power Point; Textbook; Chalk
Expostition; Discovery
and Board
Method; Drill and
Review
Geometry
Collaborate
with
geometry on
the
discussion of
radicals as
well as
include
algebraic
items in the
seat work or
assignment.
Collaboration
Partner
Biology
Project
Scenario
The students
will measure
some parts
of a plant
and
construct a
sequence. In
this way,
they will be
able to
understand
the behavior
of the plant,
especially its
growth.
Evaluative
Measurement
Time
Allotment
12. Solve geometric series.
12.1 Identify and solve
Harmonic Sequence.
12.3 Identify Fibonacci
Sequence.
12.4 Expand Binomial by the
binomial expansion Theorem.
13. Functions and Relations
13.1 Functional Notations
and operations
13.2 Graphs of Relations and
functions
13.3 Types of Functions
13.4 Graphing Techniques
13.5 Inverse Functions
13.6Parabolas
IX. Grading System: Averaging
X. Instructional Materials
XI. References
Prepared by:
Approved:
Geometric Series
Harmonic Series
Fibonacci Sequence
Binomial Expansion
Theorem
Chalk and Board; Textbook
Functions and
Relations
Use of Math GV software for
Graphing
PRoject
Drill Method
Exposition
Cooperative Learning
Journal
Writing;
Seatworks;
Quizzes;
Assignment