CURRICULUM MAP
MATHEMATICS 8
S.Y. 2021-2022
Grading Period/Theme
Content Standard
Performance Standard
Formation Standard
Performance Task
QUARTER 1: PATTERN AND ALGEBRA
The learner demonstrates understanding of key concepts of factors of polynomials, rational algebraic expressions, linear equations and inequalities in two variables, systems of
linear equations and inequalities in two variables and linear functions.
The Learner is able to formulate real-life problems involving factors of polynomials, rational algebraic expressions, linear equations and inequalities in two variables, systems of
linear equations and inequalities in two variables and linear functions, and solve these problems accurately using a variety of strategies.
The learner will become risk-taker and strategic to the challenges that he live. (Competent, Compassionate, Community-Oriented, Christ-Centered)
G – To ensure that they continue learning amidst the COVID-19 pandemic.
R – A teacher
A – Students
S – During your discussion on simplifying rational algebraic expression, many of your students were not able to join the online class due to their problem with internet
connectivity.
P – Video tutorial
S – Evaluated based on content, clarity and organization of presentation, and accuracy of data
LEARNING COMPETENCIES
TOPIC
1.
Factoring
Polynomials
MELC’S/CG CODE
1). Factors completely
different types of polynomials
(polynomials with common
monomial factor, difference of
two squares, sum and
difference of two cubes,
perfect square trinomials, and
general trinomials). M8AL-Iab-1
ACQUIRING:
1. Identify the factors of
different types of
polynomials.
TRANSFER GOAL:
1.Show how factors
formulate in different types
of polynomials .
ENDURING
UNDERSTANDING AND
ESSENTIAL QUESTION
ACTIVITIES
ASSESSMENT
INTEGRATION
RESOURCES
EU: The Learner will
understand that:
Pretest
Enrich
SUBJECT:
Textbooks
1. Every Polynomial have
different factors.
Lesson 1:
Factoring
Polynomials
with Common
Monomial
Factors
Scaffold 1:
Guided Activity
The learner will answer the
following problem.
VALUES/VIRTUES
Communityoriented
My Desk
Learning
ReimaginedGrade 8
MathematicsRBS
2. Every polynomial has
different ways of
factoring.
Compassionate
2). Solves problems involving
factors of polynomials. M8ALIb-2
1.
Pg.4-7
EQ: The learners will
keep considering the
following question.
1. How to formulate
factors in different types
of polynomial?
Formative:
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Checkpoint 1
Lesson 2:
Factoring of
Two Difference
Scaffold 1:
Guided Activity
The learners will match
Column A to Column B.
My Desk
Learning
ReimaginedGrade 8
MathematicsRBS
Pg.7-10
Scaffold 1:
Independent Activity
The learner will identify if
the certain factors of
polynomial are true or
false.
My Desk
Learning
ReimaginedGrade 8
MathematicsRBS
Pg.11-14
Formative
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Checkpoint 2
Lesson 3:
Factoring the
Sum and
Difference of
Two Cubes.
Formative:
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Checkpoint 3
Lesson 4:
Factoring
Perfect Square
Trinomial
Formative
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Checkpoint 4
Focus
Self-Checked
Scaffold 1:
Independent Activity
The learner will identify the
correct factors of the
polynomial.
My Desk
Learning
ReimaginedGrade 8
MathematicsRBS
Pg.14-22
Summative:
Apply
Post test
Challenge
2.
Factoring General
Quadratic
Trinomial
1). Factors completely
different types of polynomials
(polynomials with common
monomial factor, difference of
two squares, sum and
difference of two cubes,
perfect square trinomials, and
general trinomials). M8AL-Iab-1
2). Solves problems involving
factors of polynomials. M8ALIb-2
ACQUIRING:
1.Factor quadratic trinomial
where 𝑎 = 1;
2. Factor quadratic
trinomial where 𝑎 > 1;
TRANSFER GOAL:
1.Solve problems involving
quadratic trinomial where
𝑎=1
2. Solve problems involving
quadratic trinomial where
𝑎=1
EU: The Learner will
understand that:
Pretest
Enrich
Textbooks
1.Trinomial has also
factors like other
polynomials.
Lesson 1:
Factoring 𝑥 2 +
𝑏𝑥 + 𝑐
Scaffold 1:
Guided Activity
The will answer the
following problem.
EQ: The learners will
keep considering the
following question.
Formative:
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Navigate
Checkpoint 1
My Desk
Learning
ReimaginedGrade8
MathematicsRBS
Pg.4-12
Scaffold 2:
Independent Activity
The learner will solve the
following equation.
1.What are the steps of
getting factors in General
Quadratic Trinomial?
1.
Lesson 2:
Factoring
𝑎𝑥 2 + 𝑏𝑥 + 𝑐
Scaffold 1 :
Guided Activity
The learners will factor the
Formative:
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Checkpoint 2
Checkpoint 3
Focus
Self-Checked
polynomial by following the
steps provided.
My Desk
Learning
ReimaginedGrade8
MathematicsRBS
Pg.12-26
Scaffold 2:
Independent Activity
The learners will analyze
the given solution and
identify the steps where
the error first started.
Summative:
Apply
Post test
Challenge
3.
Simplifying Rational
Algebraic
Expression.
Simplifies rational algebraic
expression. (M8AL-Ic-2)
ACQUIRING:
1.Define rational algebraic
expression;
2.Identify rational algebraic
expression.
EU: The learners will
understand that:
1. Rational algebraic
expression is of the term
𝑎⁄𝑏, where 𝑎 and 𝑏 are
both polynomial and 𝑏 ≠
0.
TRANSFER GOAL:
1.Identify the domain of
rational algebraic
expressions by determining
restricted values
2.Simplify rational algebraic
expression using factoring.
3.Evaluate rational algebraic
expression.
2. The simplest form of
rational algebraic is when
the numerator and
denominator have no
common factor other
than 1.
EQ: The learners will
keep considering the
following question.
Pretest
Enrich
Lesson 1:
Rational
Algebraic
Expressions
Scaffold 1:
Guided Activity:
The learners will classify
the following expression by
writing them to the basket
where they belong.
Formative:
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Checkpoint 1
Scaffold 2:
Independent Activity:
The learner will determine
the restricted values of the
rational algebraic
expressions and identify
their domains
SUBJECT:
VALUES/VIRTUES
Competent
My Desk
Learning
ReimaginedGrade8
MathematicsRBS
Pg.4-10
1. How to simplify certain
algebraic expressions?
Lesson 2:
Simplifying
Rational
Algebraic
Expressions
Formative:
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Checkpoint 2
Focus
Self-Checked
Summative:
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Post test
Challenge
4.
Operation Involving
Rational Algebraic
Expression
Performs operation on rational
algebraic expression. M8AL-Icd-1
Solves problems involving
rational algebraic expressions.
M8AL-Id-2
ACQUIRING:
1.Add and subtract
expression with like or
unlike denominators.
2.Multiply or divide rational
algebraic expression.
3.Solve word problem
involving rational algebraic
expression .
Transfer Goal:
1.Formulate sum and
difference of expression
with like or unlike
EU: The learners will
understand that:
Pretest
1. There are ways of
formulating sum,
difference, product and
quotient in each
operation.
Lesson 1:
Rational
Algebraic
Expression
EQ: The learners will
keep considering the
following question.
1.How to perform
operation; addition,
subtraction,
Formative:
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Checkpoint 1
Scaffold 1:
Guided Activity: Perfect
Match
The learner will match the
simplified expression found
in Column B with the given
rational algebraic
expression in Column A.
My Desk
Learning
ReimaginedGrade8
MathematicsRBS
Pg.11-23
Scaffold 2:
Independent Activity:
The learner will complete
the given statement to
make the statement
correct.
Scaffold 1:
Guided Activity:
The learner will perform
the indicated operation on
rational expression.
Scaffold 2:
Independent Activity
The learner will find the
sum and difference of the
given rational algebraic
expression
SUBJECT:
Textbooks
VALUES/VIRTUES
My Desk
Learning
ReimaginedGrade8
MathematicsRBS
Pg.3-9
denominators.
2.Write the product or
quotient in simplest form.
3.Formulate answers in the
word problems.
multiplication and
division with like or
unlike denominators?
Lesson 2:
Factoring
𝑎𝑥 2 + 𝑏𝑥 + 𝑐
Formative:
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Checkpoint 2
Checkpoint 3
Checkpoint 4
Lesson 3:
Solving
Problems
Involving
Rational
Algebraic
Expression
Formative:
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Checkpoint 5
Focus
Self-Checked
Summative:
Scaffold 1:
Guided Activity
The learner will express the
product or the quotient of
the following rational
expression in simplest
form.
My Desk
Learning
ReimaginedGrade8
MathematicsRBS
Pg.10-14
Scaffold 2:
Independent Activity
The learner will find the
product or the quotient of
the given rational
expression.
Scaffold 1:
Independent Activity:
The learner will solve the
following word problems
involving rational
expression.
My Desk
Learning
ReimaginedGrade8
MathematicsRBS
Pg.15-26
Apply
Post test
Challenge
5.
Linear Equation in
Two Variable
Illustrates linear equations in
two variables. (M8AL-Ie-3)
ACQUIRING:
1. illustrate the rectangular
coordinate system and its
uses;
2.Illustrate the slope of the
line;
TRANSFER GOAL:
1. Plot the given points on
the rectangular coordinate
system;
2.Write the linear equation
𝑎𝑥 + 𝑏𝑦 = 𝑐 in the form
𝑦 = 𝑚𝑥 + 𝑏 and vice versa.
EU: The learners will
understand that:
Pretest
Enrich
1. Given two points,
equation and graphs has
a slope of the line.
Lesson 1:
Linear Equation
in Two
Variables
Scaffold 1:
Guided Activity:
The learner will plot the
following ordered pairs as
points on the Cartesian
planes.
EQ: The learners will
keep considering the
following question.
1. How to convert the
linear equation 𝑎𝑥 +
𝑏𝑦 = 𝑐 in the form 𝑦 =
𝑚𝑥 + 𝑏 and vice versa?
Formative:
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Checkpoint 1
Checkpoint 2
Lesson 2:
Equation of a
Line: Slope
Intercept Form
Formative:
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Checkpoint 3
Checkpoint 4
Summative:
Scaffold 2:
Independent Activity:
The learner will complete
the table of values below
the graph the equation.
Scaffold 1:
Guided Activity
The learner will determine
whether the following
graphs denote a positive,
negative, no slope, or zero
slope.
Scaffold 2:
Independent Activity
The learner will transform
the following equation to
standard form.
My Desk
Learning
ReimaginedGrade8
MathematicsRBS
Pg.4-11
My Desk
Learning
ReimaginedGrade8
MathematicsRBS
Pg.11-25
Apply
Post test
Challenge
6.
Graphs and
Equation of the
Line
Writes the linear𝐴𝑥 + 𝐵𝑦 = 𝑐
equation in the form 𝑦 =
𝑚𝑥 + 𝑏 and vice versa (M8ALIf-1)
ACQUIRING:
1.State the characteristics
of a linear graph given its
intercept and slope.
graphs a linear equation given
(a) any two points;
(b) the x– and y – intercepts;
(c) the slope and a point on the
line. (M8AL-If-2)
TRANSFER GOAL:
1.Sketch the graph of a
linear equation given any
two points, the 𝑥 − and
𝑦 − intercepts, and the
slope and a point on the
line;
Describes the graph of a linear
equation in terms of its
intercepts and slope. (M8AL-If3)
2.
2.Write the equation of the
given two points, slope and
a point, and slope and its
intercept.
EU: The learners will
understand that:
Pretest
Enrich
SUBJECT:
Textbooks
1. The equation 𝑦 =
𝑚𝑥 + 𝑏, is in slopeintercept form for the
equation of the line.
Lesson 1:
Graphing Linear
Equation in Two
Variables
VALUES/VIRTUES
2.Slope is the ratio of the
change in the 𝑦 − 𝑣𝑎𝑙𝑢𝑒
over the change in the
𝑥 − 𝑣𝑎𝑙𝑢𝑒.
Formative:
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Checkpoint 1
Scaffold 1:
Guided Activity
The learner will sketch the
linear graph with the given
information using the
indicated method and
following the indicated
steps.
My Desk
Learning
ReimaginedGrade8
MathematicsRBS
Pg.4-11
EQ: The learners will
keep considering the
following question.
1. How to write
equations in slopeintercept form.
2.How to get the
equation of the line given
two points on the line.
3.How to graph an
equation using the slope
–intercept form.
Lesson 2:
Writing Linear
Equation in Two
Variables
Formative:
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Checkpoint 2
Scaffold 2:
Independent Activity
The learner will plot the
pair of linear equation on
the Cartesian Planes.
Scaffold 1:
Guided Activity
The learner will determine
the equation of the line in
the standard form given
the following information.
Scaffold 2:
Independent Activity:
The learner will write the
equation in the standard
My Desk
Learning
ReimaginedGrade8
MathematicsRBS
Pg.12-16
form.
Lesson 3:
Word Problems
Involving Linear
Equation
Formative:
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Checkpoint 3
Focus
Self-checked
Scaffold 1:
Independent Activity
The learner will determine
the equation that
represents the situation
and solve for the necessary
information
My Desk
Learning
ReimaginedGrade8
MathematicsRBS
Pg.17-23
Summative:
Apply
Post test
Challenge
7.
System of Linear
Equation in Two
Variables
Illustrates a system of linear
equation in two variables.
(M8AL-Ih-1)
Solves problems involving
systems of linear equations in
two variables by (a) graphing;
(b) substitution; (c)
elimination.
ACQUIRING:
1.Define a linear system of
two variables that is written
in form of 𝐴𝑥 + 𝐵𝑦 = 𝑝 and
𝐶𝑥 + 𝐷𝑦 = 𝑞
2. Differentiate the solving
of system of linear equation
by graphing, substituting,
and eliminating.
EU: The learners will
understand that:
Pretest
Enrich
SUBJECT:
Textbooks
1. System of linear
equation in two variables
categorizes when the
graphs are parallel,
intersecting and
coinciding.
Lesson 1:
Solving Systems
of Linear
Equation by
Graphing
Scaffold 1:
Guided Activity:
The learner will find
another way to solve
systems of linear equation
by the graphing method is
through the use of
intercepts.
VALUES/VIRTUES
My Desk
Learning
ReimaginedGrade8
MathematicsRBS
Pg.5-10
EQ: The learners will
keep considering the
following question
MEANING MAKING:
1. Explain the differences of
1.How to solve system of
Formative:
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Checkpoint 1
Checkpoint 2
Scaffold 2:
The learner will solve the
given system of linear
solving system of linear
equation by graphing,
substituting and
eliminating.
TRANSFER GOAL:
1. Demonstrate the solving
of the system of a linear
equation and solve these
problems accurately using a
variety of strategies.
linear equation by
graphing?
2. How to solve system
of linear equation by
substitution?
3. How to solve system
of linear equation by
elimination?
4. How to identify the
differences of graphing,
substituting and
eliminating in solving a
system of linear
equation?
equation using the
Graphing Method
Lesson 2:
Solving Systems
of Linear
Equations Using
Substitution
and Elimination
Methods
Formative:
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Checkpoint 3
Lesson 3:
Solving
Problems
Involving
Systems of
Linear Equation
Formative:
Optimize
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Checkpoint 4
Checkpoint 5
Focus
Self-checked
Scaffold 1:
Guided Activity
The learner will solve the
given system of linear
equation using the
elimination Method
My Desk
Learning
ReimaginedGrade8
MathematicsRBS
Pg.10-14
Scaffold 2:
Independent Activity
The learner will solve the
system of linear equations.
Scaffold 1:
Independent Activity
The learner will solve the
word problem
My Desk
Learning
ReimaginedGrade8
MathematicsRBS
Pg.14-23
Summative:
Apply
Post test
Challenge
Prepared by:
KENNETH BAGNOL RIVERA
Subject Teacher
Checked by:
JEMUEL C. MONTERO
JH Academic Coordinator
Approved by:
SR. ANA MARIE JAMORA MSM, MAEM
School Directress