TEACHING
GUIDE IN MATHEMATICS 8
S.Y. 2013-2014
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Topic
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Objectives
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FIRST QUARTER
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Laws
of Exponents
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To
be able for the students to
ü apply the
rules of exponents
ü simplify expressions involving integral positive
exponents by applying the rules on exponents
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Multiplication
of Polynomials
·
Multiplying monomial by another monomial
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Multiplying monomial by a polynomial
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Applying the distributive property of
multiplication over addition
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Multiplying binomial by another binomial
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Use of FOIL method
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Using vertical Method
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Multiplying binomial by a polynomial
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Applying the distributive property of
multiplication over addition
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Multiplying polynomials
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ü find the
product of monomials
ü find the
product of monomial and polynomial
ü find the
product of binomials
ü find the
product of polynomials
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Division
Of Polynomials
· Dividing
Monomial By Monomial
· Dividing
Polynomial By Monomial
· Dividing
Polynomials
o
Using Synthetic Division
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Long Division Method
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ü divide
monomials
ü divide
polynomial by monomial
ü divide
polynomials using synthetic division
ü divide
polynomials using long division method
ü memorize the
steps in dividing polynomial
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Square
of a Binomial
·
Use of FOIL method
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Using vertical Method
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ü find the
products using the pattern for square of a binomial
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Cube
of a Binomial
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ü find the
products using the pattern for cube of a binomial
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Special
Product forming the Difference of Two Squares
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ü find special
product forming the difference of two squares
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Special
Product forming the Sum or Difference of Two Cubes
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ü find special
product forming the sum or difference of two cubes
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Factoring
out the Common Monomial Factor
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ü find the
greatest common factor
ü factor an algebraic expression with terms containing
a common factor
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Factoring
Differences of two Squares
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ü factor
binomials which are difference of two squares
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Factoring
Sum or Difference of Two Cubes
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ü factor
binomials that are sum or difference of two cubes
ü following step
by step procedure
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Factoring
Quadratic Trinomials
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ü factor a
quadratic trinomial
ü use trial and
error
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Factoring
by Grouping
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ü factor a
polynomial by grouping terms
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Simplifying
Rational Expressions
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ü define
rational expressions
ü simplify
rational expressions
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Operation
on Rational Expressions
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ü determine the
rules in multiplying rational expressions
ü multiply
rational expressions
ü determine the
rules in adding rational expressions
ü add rational
expressions
ü determine the
rules in subtracting rational expressions
ü subtract
rational expressions
ü determine the
rules in dividing rational expressions
ü divide
rational expressions
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Complex
Rational Expressions
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ü
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SECOND QUARTER
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Rectangular
Coordinate System
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ü determine the
coordinates of the given points on the plane
ü plot the
points on a coordinate plane
ü determine the
quadrants to which points lie
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Basic
Ideas Of Functions
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ü identify
whether the given relation is a function
ü identify the
domain and range of a relation
ü identify
different types of relations
ü illustrate
types of relations
ü determine
whether the equation is a relation or a function
ü evaluate
functions
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Slope
finding
the slope using
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ü compute the
slope through two given points
ü find the slope
between two points in a graph
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Graphs
of Linear Equations in Two variables
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ü graph linear
function y=mx+b given any two points
ü graph linear
function y=mx+b given the intercepts
ü graph linear
function y=mx+b given the slope and a point
ü characterize
the graph of a linear function in the terms of intercepts and slopes
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Changing
the form of the equation from slope-intercept form y=mx+b to standard form
Ax+By=C and vice versa
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ü know how to
change the equation from slope-intercept form y=mx+b to standard form Ax+By=C
and vice versa
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Equation
of a Line
·
Two-Point Form
 = 
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Point-Slope Form
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Slope-intercept Form
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Intercept Form
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ü find the
equation of a line given two points or two ordered pairs
ü find the equation
of a line given the slope and a point
ü find the
equation of a line given the slope and the y-intercept
ü find the
equation of a line given the intercepts
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Graphs
of Linear Inequalities in Two Variables
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ü graph linear
inequalities in two variables
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Systems
of Linear Equations in Two Variables
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ü determine
whether the given ordered pair is a solution of a system of linear equations
ü determine
whether the system of linear equations is consistent or inconsistent,
dependent or independent
ü
solve systems of linear equation by Graphing
ü understand the
substitution method
ü
solve systems of linear equation by substitution
method
ü understand the
elimination method
ü
solve systems of linear equation by elimination
method
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Solving
Systems of Linear Equation by Using the determinants
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ü define the
determinants
ü solve systems
of linear equation by using the determinants
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Solving
Systems of Linear Inequalities by Graphing
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ü define
inequalities
ü determine
whether a given ordered pair is a solution of a system of linear inequalities
ü solve systems
of linear inequalities by graphing
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THIRD QUARTER
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Measures
of Central Tendency
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Mean
o
Median
o
Mode
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Mean
o
Median
o
Mode
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ü find the mean
of ungrouped data
ü find the
median of ungrouped data
ü find the mode
of ungrouped data
ü find the mean
of grouped data
ü find the
median of grouped data
ü find the mode
of grouped data
ü construction
of frequency distribution
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Quartiles
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ü find the
quartiles of a grouped data
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Deciles
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ü find the
deciles of a grouped data
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Percentiles
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ü find the
percentiles of a grouped data
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Measures
of Variability
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ü find the range
ü find the
variance
ü find the
standard deviation
ü compare the
average standard deviation of the data
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Sample
Space and Probability
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ü determine the
sample space of an experiment
ü find the
probability of event of experiments
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Conditional
Statements
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ü analyze
conditional statements
ü identify the
hypothesis and conclusion of conditional statement
ü state
conditional to “if-then” form and verify it is true or false
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Deductive
and Inductive Reasoning
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ü define
inductive and deductive reasoning
ü form
conclusion by using deductive reasoning
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FOURTH QUARTER
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Undefined
Terms
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ü identify,
describe and give representations of undefined terms
ü use undefined
terms to define basic geometric terms
ü use postulates
and theorems related to undefined terms
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Measurement
of a Line Segment
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ü identify and
describe the subsets of a line
ü find the
distance between two points on a number line
ü determine the
coordinate of the midpoint of a segment
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Postulates
on Angles
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ü define angles
ü measures and
classify angles
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Writing
a Proof
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ü define proof
ü identify the
different proof
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Theorems
on Angles
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ü identify and
describe the different pairs of angle
ü prove the
theories on angles
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Parallel
Lines and Conditions that Guarantee Parallelism
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ü define
parallel lines and transversals
ü identify the
angles formed by transversals
ü prove the
theorems on angles formed by transversal
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Convex
Polygon
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ü identify, name
and classify convex polygons
ü find the
measures of the angles of a polygons
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Secondary
Parts of a Triangle
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ü identify and
describe the secondary parts of a triangle
ü use the
properties of the secondary parts of the triangle
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Congruent
Figures
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ü define
congruent figures
ü identify
congruent figures
ü name the
corresponding congruent parts of the congruent triangles
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Triangle
Congruence
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ü state the SSS,
SAS and ASA Congruence Postulates
ü prove the AAS
triangle congruence theorem
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Using
Congruent Triangles
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ü prove that
corresponding parts of congruent triangles are congruent
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Isosceles
Triangles
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ü prove the
theorems related to isosceles triangles
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The
Pythagorean Theorem
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ü state the
Pythagorean theorem
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Special
Right Triangles
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ü determine the
relationships among the side length of special right triangles
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