Republic of the Philippines
Department of Education
REGION XII
SCHOOLS DIVISION OFFICE OF COTABATO
Amas, Kidapawan City
TABLE OF SPECIFICATION
MATHEMATICS 10 CPTT 1
Category (Written
No. MELCs Code Unpacked Competencies Item Number Works/Performance Thinking Skills
Task)
1.1 Determines the sequence of figures
1 Generate patterns M10ALIa-1 1-8 Written Understanding (8)
1.2 Find the next terms of a sequence
2. 1 Identify sequences that are arithmetic Remembering (1)
Illustrate an arithmetic Understanding (6)
2 M10ALIb-1 2.2. Determine the common difference of an arithmetic 9-20 Written
sequence Applying (4)
sequence Analyzing (1)
3.1. Determine next terms of an arithmetic sequence
Determine arithmetic means, 3.2. Determine nth term or missing terms of an
3 nth term of an arithmetic M10AL-Ib-c-1 arithmetic sequence 21-28 Written Applying (8)
sequence
3.3. Find the arithmetic means between two terms of an
arithmetic sequence
4.1. Determine the sum of the first nth term of an
arithmetic sequence with known first and last terms
Finds the sum of the terms 4.2. Determine the sum of the first nth term of an
arithmetic sequence with known first and unknown last Understanding (1)
4 of a given arithmetic M10AL-Ic-2 29-40 Written
terms Applying (10)
sequence.
4.3 Find the sum of an arithmetic sequence given some
terms with a common difference
Republic of the Philippines
Department of Education
REGION XII
SCHOOLS DIVISION OFFICE OF COTABATO
Amas, Kidapawan City
TABLE OF SPECIFICATION
MATHEMATICS 10 CPTT 2
Category (Written
No. MELCs Code Unpacked Competencies Item Number Works/Performance Thinking Skills
Task)
1.1 Determines the sequence of figures
1 Generate patterns M10ALIa-1 1-6 Written Understanding (6)
1.2 Find the next terms of a sequence
2. 1 Identify sequences that are arithmetic
Illustrate an arithmetic Understanding (3)
2 M10ALIb-1 7-10 Written
sequence 2.2. Determine the common difference of an Analyzing (1)
arithmetic sequence
3.1. Determine next terms of an arithmetic
sequence
Determine arithmetic 3.2. Determine nth term or missing terms of an
3 means, nth term of an M10AL-Ib-c-1 arithmetic sequence 11-17 Written Applying (7)
arithmetic sequence
3.3. Find the arithmetic means between two
terms of an arithmetic sequence
4.1. Determine the sum of the first nth term of
an arithmetic sequence with known first and
last terms
Finds the sum of the
4 terms of a given M10AL-Ic-2 4.2. Determine the sum of the first nth term of 18-21 Written Applying (4)
arithmetic sequence. an arithmetic sequence with known first and
unknown last terms
Finds the sum of the
4 terms of a given M10AL-Ic-2 18-21 Written Applying (4)
arithmetic sequence.
4.3 Find the sum of an arithmetic sequence
given some terms with a common difference
Illustrate a geometric Remembering (2)
5 M10AL-Id-1 22-24 Written
sequence. Analyzing (1)
6.1 differentiates geometric sequence from an
Differentiate a arithmetic sequence given table of values
geometric sequence Understanding (2)
6 M10AL-Id-2 6.2 differentiates geometric sequence from an 25-29 Written
from an arithmetic Analyzing (3)
sequence. arithmetic sequence given few terms of the
sequence
7.1 defines and identifies finite geometric
Differentiate a finite
sequence and infinite geometric sequence
geometric sequence
7 M10AL-Id-3 30-32 Written Understanding (3)
from an infinite
7.2. differentiates a finite geometric sequence
geometric sequence.
from an infinite geometric sequence.
8.1. determines the nth term of a geometric
Determine geometric sequence.***
8 means and nth term of M10AL-Ie-1 33-39 Written Applying (7)
a geometric sequence 8.2. determines geometric means of a
geometric sequence.***
Find the sum of the
9.1. finds the sum of the terms of a given finite
terms of a given finite or
9 M10AL-Ie-2 geometric sequence.*** 40 Written Applying (1)
infinite geometric 9.2. finds the sum of the terms of a given
sequence infinite geometric sequence.***
Republic of the Philippines
Department of Education
REGION XII
SCHOOLS DIVISION OFFICE OF COTABATO
Amas, Kidapawan City
TABLE OF SPECIFICATION
MATHEMATICS 10 CPTT 3
Category (Written
No. MELCs Code Unpacked Competencies Item Number Works/Performance Thinking Skills
1.1 Determines the sequence of figures Task)
1 Generate patterns M10ALIa-1 1 Written Understanding (1)
1.2 Find the next terms of a sequence
2. 1 Identify sequences that are arithmetic Remembering (1)
2 Illustrate an arithmetic sequence M10ALIb-1 2-5 Written
2.2. Determine the common difference of an arithmetic Applying (6)
sequence
3.1. Determine next terms of an arithmetic sequence
Determine arithmetic means, nth
3 M10AL-Ib-c-1 3.2. Determine nth term or missing terms of an arithmetic 6-11 Written Applying (5)
term of an arithmetic sequence
sequence
3.3. Find the arithmetic means between two terms of an
arithmetic
4.1. sequence
Determine the sum of the first nth term of an arithmetic
Finds the sum of the terms of a sequence
4.2. with known
Determine the sumfirst
of and last nth
the first terms
term of an arithmetic
4 M10AL-Ic-2 12-16 Written Applying (5)
given arithmetic sequence. sequence
4.3 with
Find the sumknown
of anfirst and unknown
arithmetic sequencelastgiven
termssome
terms with a common difference
5 Illustrate a geometric sequence. M10AL-Id-1 Performance Task
Differentiate a geometric 6.1 differentiates geometric sequence from an arithmetic
Understanding (2)
6 sequence from an arithmetic M10AL-Id-2 sequence given table of values 17-20 Written
Analyzing (3)
sequence. 6.2 differentiates geometric sequence from an arithmetic
sequence given few terms of the sequence
Differentiate a finite geometric 7.1 defines and identifies finite geometric sequence and
7 sequence from an infinite M10AL-Id-3 infinite geometric sequence 21 Written Understanding (3)
geometric sequence. 7.2. differentiates a finite geometric sequence from an
infinite geometric sequence.
Determine geometric means and
8.1. determines the nth term of a geometric sequence.***
8 nth term of a geometric M10AL-Ie-1 22-25 Written Applying (7)
sequence 8.2. determines geometric means of a geometric
sequence.***
Find the sum of the terms of a 9.1. finds the sum of the terms of a given finite geometric
9 given finite or infinite geometric M10AL-Ie-2 sequence.*** 26-30 Written Applying (1)
sequence 9.2. finds the sum of the terms of a given infinite geometric
sequence.***
Illustrate other types of 10.1. illustrates harmonic sequence.
10 sequences (e.g., harmonic, M10AL-If-1 Performance Task
Fibonacci) 10.2 illustrates Fibonacci sequence.
11.1 solves problems involving arithmetic sequences
Solve problems involving
11 M10AL-If-2 31-33 Written Applying (3)
sequences
Solve problems involving 11.2 solves problems involving geometric sequence
11 M10AL-If-2 31-33 Written Applying (3)
sequences 11.3. solves problems involving harmonic or Fibonacci
sequences.
Perform division of polynomials 12.1. solves division of polynomials using long division
12 using long division and synthetic M10AL-Ig-1 34-36 Written Applying (3)
division 12.2. solves division of polynomials using synthetic division.
Prove the Remainder Theorem 13.1 proves the remainder theorem.
13 M10AL-Ig-2 Performance Task
and the Factor Theorem 13.2 proves the factor theorem.
14.1. factors polynomials using common factor.
14.2. factors polynomials using Remainder Theorem.
14 Factor polynomials M10AL-Ih-1 14.3. factors polynomials using Factor Theorem. 37-40 Written Applying (4)
14.4. factors polynomials using synthetic division.
14.5. factors polynomials using special product or factors.
15 Illustrate polynomial equations M10AL-Ii-1 Performance Task
16.1. proves Rational Root Theorem.
16 Prove Rational Root Theorem M10AL-Ii-2 Performance Task
16.2. applies Rational Root Theorem.
Republic of the Philippines
Department of Education
REGION XII
SCHOOLS DIVISION OFFICE OF COTABATO
Amas, Kidapawan City
TABLE OF SPECIFICATION
MATHEMATICS 10 CPTT 4
Category (Written
No. MELCs Code Unpacked Competencies Item Number Works/Performance Thinking Skills
Task)
1.1 Determines the sequence of figures
Understanding (2)
1 Generate patterns M10ALIa-1 1, 2, 3 Written
Analyzing (1)
1.2 Find the next terms of a sequence
Illustrate an arithmetic 2. 1 Identify sequences that are arithmetic Remembering (1)
2 M10ALIb-1 4,5 Written
sequence 2.2. Determine the common difference of an arithmetic Understanding (1)
sequence
3.1. Determine next terms of an arithmetic sequence
Determine arithmetic 3.2. Determine nth term or missing terms of an
Understanding (1)
3 means, nth term of an M10AL-Ib-c-1 arithmetic sequence 6,7 Written
3.3. Find the arithmetic means between two terms of Applying (1)
arithmetic sequence
an arithmetic sequence
4.1. Determine the sum of the first nth term of an
Finds the sum of the terms
arithmetic sequence
4.2. Determine withofknown
the sum first
the first nthand last
term ofterms
an
4 of a given arithmetic M10AL-Ic-2 8,9 Written Applying (2)
sequence. arithmetic sequence with known first and unknown last
4.3 Find the sum of an arithmetic sequence given
terms
Illustrate a geometric some terms with a common difference Understanding (1)
5 M10AL-Id-1 10,11 Written
sequence. Applying (1)
6.1 differentiates geometric sequence from an
Differentiate a geometric arithmetic sequence given table of values
6 sequence from an arithmetic M10AL-Id-2 12,13 Written Understanding (2)
sequence. 6.2 differentiates geometric sequence from an
arithmetic sequence given few terms of the sequence
Differentiate a finite 7.1 defines and identifies finite geometric sequence
7 geometric sequence from an M10AL-Id-3 and infinite geometric sequence 14,15 Written Remembering (2)
infinite geometric sequence. 7.2. differentiates a finite geometric sequence from an
infinite geometric sequence.
Determine geometric means 8.1. determines the nth term of a geometric
8 and nth term of a geometric M10AL-Ie-1 sequence.*** 16,17 Written Applying (2)
sequence 8.2. determines geometric means of a geometric
sequence.***
Find the sum of the terms of 9.1. finds the sum of the terms of a given finite
9 a given finite or infinite M10AL-Ie-2 geometric sequence.*** 18,19 Written Applying (2)
geometric sequence 9.2. finds the sum of the terms of a given infinite
geometric sequence.***
Illustrate other types of 10.1. illustrates harmonic sequence.
10 sequences (e.g., harmonic, M10AL-If-1 20,21 Written Applying (2)
Fibonacci) 10.2 illustrates Fibonacci sequence.
11.1 solves problems involving arithmetic sequences
Solve problems involving
11 M10AL-If-2 11.2 solves problems involving geometric sequence 22,23 Written Applying (2)
sequences
11.3. solves problems involving harmonic or Fibonacci
Perform division of sequences.
polynomials using long 12.1. solves division of polynomials using long division.
12 M10AL-Ig-1 24,25,26 Written Applying (3)
division and synthetic 12.2. solves division of polynomials using synthetic
division division.
Prove the Remainder 13.1 proves the remainder theorem.
13 Theorem and the Factor M10AL-Ig-2 27,28 Written Applying (2)
Theorem 13.2 proves the factor theorem.
14.1. factors polynomials using common factor.
14.2. factors polynomials using Remainder Theorem.
14 Factor polynomials M10AL-Ih-1 14.3. factors polynomials using Factor Theorem. 29,30,31 Written Applying (3)
14.4. factors polynomials using synthetic division.
14.5. factors polynomials using special product or
Illustrate polynomial factors.
15 M10AL-Ii-1 32,33 Written Understanding (2)
equations
Prove Rational Root 16.1. proves Rational Root Theorem. Applying (1)
16 M10AL-Ii-2 34,35 Written
Theorem 16.2. applies Rational Root Theorem. Understanding (1)
Solves polynomial 17.1. writes polynomial equations in factored form
17 M10AL-Ij-1 36,37 Written Applying (2)
equations. 17.2. solves polynomial equations
Solves problems involving 18.1. solves problems involving polynomials.
18 polynomials and polynomial M10AL-Ij-2 38,39,40 Written Applying (3)
18.2. solves problems involving polynomial equations
equations.
18.3
usingSolves problems involving polynomial equations
factoring.
given the roots.
