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CBEA-like Test Items – SOLO Framework
Name: ANNA LIZETTE C. DE GUZMAN Learning Area: Mathematics 7
TABLE OF SPECIFICATION
I. Quarter: 2 Week: Week 5 No. of Days/Hours: 4
Competency Level in the RBT
II. MELC/s:The learners derives the laws of exponent. Multiplies and divides
polynomials.
Apply
III. Enabling Competency: Apply
IV. Test Item Specifications Item No.1 Item No. 2 Item No. 3
Number of Test
Items
Level in the
RBT
Apply Apply Remembering
Knowledge
Dimension
Conceptual Conceptual. Factual
Item Content
Stimuli(Personal/Local/National/Global):
1. Your mom ordered coloring materials from Shopee Apps for your Arts project. The dimensions of the shipping box containing your Mom’s purchases
was shown below. You remember that formula for solving the volume of rectangular prism is V= L X W X H
3a
2a2 3a
Prime:
What is the volume of the box written as a monomial?
POSSIBLE ANSWERS
Pre-Structural Uni-Structural Multi-Structural Relational Extended Abstract
No Mastery Least Mastered Nearly Mastered Mastered Highly Mastered
2a2
2a2
+ 6a 18a2
18a4
The answer is far from the rules of
multiplying polynomials(Laws of
exponent).
The answer used Perimeter
formula
The numerical coefficient
were performed correctly but
the exponent were not.
The Product law of exponent
were properly applied.
Item Content
Stimuli(Personal/Local/National/Global):
2. Your teacher’s assignment is to simplify the given polynomials: ( b2) (3c2) (2c)3
Prime:
What laws of exponents will you apply to get the answer?
POSSIBLE ANSWERS
Pre-Structural Uni-Structural Multi-Structural Relational Extended Abstract
No Mastery Least Mastered Nearly Mastered Mastered Highly Mastered
Law of Zero Exponent Power of a Power rule
and Law of Negative
exponent
Product Law of
Exponents
Product Law of
Exponents and Power of
a Product law
There is no Zero exponent on the given
polynomials.
There is no negative
exponent on the given
polynomials but Power to
power rule will be applied.
Product law of exponent will
be applied to simplify ( b2)
(3c2
) but can’t be applied
to simplify (2c)3
( b2
) (3c2
) = 3b2
c2
Product law of
exponents
(2c)3
= 23
c3
= 8c3
Power of a product law
(3b2c2) (8c3) = 24b2c5
Product law of
exponents
Item Content
Stimuli(Personal/Local/National/Global):
3. Your classmate is stuck on a problem while working on dividing polynomials, (14x4
- 70x3
+ 21x2
- 63x ) ÷ (7x) . You helped your classmate since you
know the rules in dividing polynomials?
Prime: What will be the quotient of the given polynomials?
POSSIBLE ANSWERS
Pre-Structural Uni-Structural Multi-Structural Relational Extended
Abstract
No Mastery Least Mastered Nearly Mastered Mastered Highly
Mastered
2x5
- 10x4
+ 3x3
- 9x2
2x4
+ 10x3
+ 3x2
+ 9x 2x3
+ 10x2
+ 3x + 9 2x3
- 10x2
+ 3x - 9
Explanation of Answers
In dividing polynomials exponents of the
same bases should not be added.
In dividing polynomials
exponents of the same bases
should not be multiplied.
The answer is almost correct
because laws for dividing
polynomials were applied but
the rules on sign numbers
were not.
All laws were properly applied to this answer. Quotient law
of exponent and rules in dividing signs.
Name: Learning Area: Mathematics
TABLE OF SPECIFICATION
I. Quarter: 2 Week: Week 6 No. of Days/Hours: 4
Competency Level in the RBT
MELC/s: Uses models and algebraic methods to find the: (a) product of two binomials;
(b) product of the sum and difference of two terms; (c) square of a binomial; (d) cube of
a binomial; (e) product of a binomial and a trinomial. M7AL-IIe-g-1
Apply
II. Enabling Competency: Apply
IV. Test Item Specifications Item No.1 Item No. 2 Item No. 3
Number of Test
Items
Level in the
RBT
Apply Remembering
Knowledge
Dimension
Conceptual Factual .
Item Content
Stimuli(Personal/Local/National/Global):
1. Student A wants to know the area of the school quadrangle. You learned from your math class that the formula in finding area of
rectangle is A= L x W. If the school quadrangle has a length of (x + 5) meters and width of (x + 3) meters.
Prime:
What is the area of the school quadrangle?
POSSIBLE ANSWERS
Pre-Structural Uni-Structural Multi-Structural Relational Extended Abstract
No Mastery Least Mastered Nearly Mastered Mastered Highly Mastered
x+5 2x+8 x2
+ 15 x2
+ 8x + 15
It’s just the first binomial no operation
was performed.
The two binomials were
added. It should be
multiplied.
Only first terms and last
terms were multiplied.
Laws for multiplying
polynomials were fully
applied.
F - (x) (x) = x2
O - (x) (3)= 3x
I - (5) (x) = 5x
L - (5)(3) = 15
= x2
+ 8x + 15
Item Content
Stimuli(Personal/Local/National/Global):
2. Teacher A asked his students to find the product of these two binomials, (2y + 5) and (3y - 5) using FOIL method.
Prime:
What is the product of the two binomials?
POSSIBLE ANSWERS
Pre-Structural Uni-Structural Multi-Structural Relational Extended Abstract
No Mastery Least Mastered Nearly Mastered Mastered Highly Mastered
Name: Learning Area: Mathematics 7
TABLE OF SPECIFICATION
III. Quarter: 1 Week:Week 7 No. of Days/Hours: 4
Competency Level in the RBT
IV. MELC/s: solves problems involving algebraic expressions Apply
V. Enabling Competency: Illustrates well-defined sets, subsets, universal sets, null set,
cardinality of sets, union and intersection of sets and the different of two sets.
Apply
IV. Test Item Specifications Item No.1 Item No. 2 Item No. 3
Number of Test
Items
Level in the
RBT
Apply Apply Remembering
Knowledge
Dimension
Conceptual Conceptual Factual
Item Content
Stimuli(Personal/Local/National/Global):
1. Student B need P1000 to buy a scientific calculator to be used in math class. Her neighbor will pay her P100 per hour as tutoring fee and her father gave
her P300 for cleaning the house.
Prime:
Which inequality represents the minimum amount of hours she will need to tutor in order for her to buy her calculator?
POSSIBLE ANSWERS
Pre-Structural Uni-Structural Multi-Structural Relational Extended
Abstract
No Mastery Least Mastered Nearly Mastered Mastered Highly
Mastered
1000x + 100 ≤ 300 300x + 100 ≥ 1000 100x - 300 ≥ 1000 100x +300 ≥ 1000
Explanation of Answers
It is not the answer because the total
money, Student B needed is 1000.
Item Content
Stimuli(Personal/Local/National/Global):
2. A rectangular badminton play area has a length that is seven inches longer than its width (w). The perimeter of this badminton play area
is at most 30 inches.
Prime:
Which of the following inequalities gives the possible values of "w"?
POSSIBLE ANSWERS
Pre-Structural Uni-Structural Multi-Structural Relational Extended Abstract
No Mastery Least Mastered Nearly Mastered Mastered Highly Mastered
w ≤ 8 w 11 w ≥4 w ≤4
Explanation of Answers
It is from the measure of the width. It is the measure of the
length of the rectangle.
The symbol used in the
answer is at least instead
of at most which was
given in the problem.
From the solution below:
2L + 2W ≤ P
2(W+4) + 2W ≤ 30
2W+8+ 2W ≤ 30
4W ≤ 30 - 18
4W ≤ 16
W ≤ 16/4
W ≤ 4
Item Content
Stimuli(Personal/Local/National/Global):
3. A family went to an amusement park and plan to take different rides. The amusement park charges P40.00 per ride. If the family have
P360.00,
Prime:
How many ride can they take?
POSSIBLE ANSWERS
Pre-Structural Uni-Structural Multi-Structural Relational Extended
Abstract
No Mastery Least Mastered Nearly Mastered Mastered Highly Mastered
y= 5 y= 200-40 y = 40/200 y= 200/40
Explanation of Answers
It shows the answer on the
equation being asked.
The operation used was is
incorrect.
The operation used was
right but the given number
was placed incorrectly.
The operation and placing of the given are correct. Linear
equation written correctly thus, represents the
relationships of the given problems.
Name: Learning Area: Mathematics
TABLE OF SPECIFICATION
VI. Quarter: 2 Week: Week 8 No. of Days/Hours: 4
Competency Level in the RBT
MELC/s: differentiates algebraic expressions, equations and inequalities.
illustrates linear equation and inequality in one variable.
Apply
VII. Enabling Competency: Apply
IV. Test Item Specifications Item No.1 Item No. 2 Item No. 3
Number of Test
Items
Level in the
RBT
Apply Remembering
Knowledge
Dimension
Conceptual Factual .
Item Content
Stimuli(Personal/Local/National/Global):
1. A number is 4 times another. If their sum is 70. Find the larger number.
Prime:
What is the larger number?
POSSIBLE ANSWERS
Pre-Structural Uni-Structural Multi-Structural Relational Extended Abstract
No Mastery Least Mastered Nearly Mastered Mastered Highly Mastered
4x x+4x=70 14 56
This answer is just one of the given facts. The answer is the equation or
number sentence of the
problem.
This answer is the smaller
number you’ll get in solving
the equation.
By the solution below:
x + 4x = 70
5x= 70
x=70/5
x=14 - the smaller
number
4(x)
4(14)
56 - the larger number
Item Content
Stimuli(Personal/Local/National/Global):
2.A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree
equation.It uses equal sign that indicates equality.
Prime:
Which of the following algebraic expressions are linear equations?
i.2x+ 5 = 3
ii. 3b2 ≤ 20
iii. ab + a + 5 = 10
iv.x ≥ 6
v. 3x - 6 = 2
POSSIBLE ANSWERS
Pre-Structural Uni-Structural Multi-Structural Relational Extended
Abstract
No Mastery Least Mastered Nearly Mastered Mastered Highly Mastered
Only b and d are linear equations. a, b, c are linear equations. Only a nd c are linear
equations.
a, c, e are linear equations.
Explanation of Answers
b and d are linear inequalities.
The symbol used expresses
inequality.
Only a and c are linear
equation while b is an
inequality also, it is q
quadratic equation.
a and c are linear
equations but e expression
is linear equation too.
These are all linear equations because the expressions’
highest exponent of the variable is one. And uses equal
sign that indicates equality.

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2nd Quarter CBEA-Math 7 - Week 5 ot 8.docx

  • 1. CBEA-like Test Items – SOLO Framework Name: ANNA LIZETTE C. DE GUZMAN Learning Area: Mathematics 7 TABLE OF SPECIFICATION I. Quarter: 2 Week: Week 5 No. of Days/Hours: 4 Competency Level in the RBT II. MELC/s:The learners derives the laws of exponent. Multiplies and divides polynomials. Apply III. Enabling Competency: Apply IV. Test Item Specifications Item No.1 Item No. 2 Item No. 3 Number of Test Items Level in the RBT Apply Apply Remembering Knowledge Dimension Conceptual Conceptual. Factual Item Content Stimuli(Personal/Local/National/Global): 1. Your mom ordered coloring materials from Shopee Apps for your Arts project. The dimensions of the shipping box containing your Mom’s purchases was shown below. You remember that formula for solving the volume of rectangular prism is V= L X W X H 3a 2a2 3a Prime: What is the volume of the box written as a monomial? POSSIBLE ANSWERS Pre-Structural Uni-Structural Multi-Structural Relational Extended Abstract
  • 2. No Mastery Least Mastered Nearly Mastered Mastered Highly Mastered 2a2 2a2 + 6a 18a2 18a4 The answer is far from the rules of multiplying polynomials(Laws of exponent). The answer used Perimeter formula The numerical coefficient were performed correctly but the exponent were not. The Product law of exponent were properly applied. Item Content Stimuli(Personal/Local/National/Global): 2. Your teacher’s assignment is to simplify the given polynomials: ( b2) (3c2) (2c)3 Prime: What laws of exponents will you apply to get the answer? POSSIBLE ANSWERS Pre-Structural Uni-Structural Multi-Structural Relational Extended Abstract No Mastery Least Mastered Nearly Mastered Mastered Highly Mastered Law of Zero Exponent Power of a Power rule and Law of Negative exponent Product Law of Exponents Product Law of Exponents and Power of a Product law There is no Zero exponent on the given polynomials. There is no negative exponent on the given polynomials but Power to power rule will be applied. Product law of exponent will be applied to simplify ( b2) (3c2 ) but can’t be applied to simplify (2c)3 ( b2 ) (3c2 ) = 3b2 c2 Product law of exponents (2c)3 = 23 c3 = 8c3 Power of a product law (3b2c2) (8c3) = 24b2c5 Product law of exponents Item Content Stimuli(Personal/Local/National/Global):
  • 3. 3. Your classmate is stuck on a problem while working on dividing polynomials, (14x4 - 70x3 + 21x2 - 63x ) ÷ (7x) . You helped your classmate since you know the rules in dividing polynomials? Prime: What will be the quotient of the given polynomials? POSSIBLE ANSWERS Pre-Structural Uni-Structural Multi-Structural Relational Extended Abstract No Mastery Least Mastered Nearly Mastered Mastered Highly Mastered 2x5 - 10x4 + 3x3 - 9x2 2x4 + 10x3 + 3x2 + 9x 2x3 + 10x2 + 3x + 9 2x3 - 10x2 + 3x - 9 Explanation of Answers In dividing polynomials exponents of the same bases should not be added. In dividing polynomials exponents of the same bases should not be multiplied. The answer is almost correct because laws for dividing polynomials were applied but the rules on sign numbers were not. All laws were properly applied to this answer. Quotient law of exponent and rules in dividing signs. Name: Learning Area: Mathematics TABLE OF SPECIFICATION I. Quarter: 2 Week: Week 6 No. of Days/Hours: 4 Competency Level in the RBT
  • 4. MELC/s: Uses models and algebraic methods to find the: (a) product of two binomials; (b) product of the sum and difference of two terms; (c) square of a binomial; (d) cube of a binomial; (e) product of a binomial and a trinomial. M7AL-IIe-g-1 Apply II. Enabling Competency: Apply IV. Test Item Specifications Item No.1 Item No. 2 Item No. 3 Number of Test Items Level in the RBT Apply Remembering Knowledge Dimension Conceptual Factual . Item Content Stimuli(Personal/Local/National/Global): 1. Student A wants to know the area of the school quadrangle. You learned from your math class that the formula in finding area of rectangle is A= L x W. If the school quadrangle has a length of (x + 5) meters and width of (x + 3) meters. Prime: What is the area of the school quadrangle? POSSIBLE ANSWERS Pre-Structural Uni-Structural Multi-Structural Relational Extended Abstract No Mastery Least Mastered Nearly Mastered Mastered Highly Mastered x+5 2x+8 x2 + 15 x2 + 8x + 15 It’s just the first binomial no operation was performed. The two binomials were added. It should be multiplied. Only first terms and last terms were multiplied. Laws for multiplying polynomials were fully applied. F - (x) (x) = x2 O - (x) (3)= 3x I - (5) (x) = 5x L - (5)(3) = 15 = x2 + 8x + 15 Item Content Stimuli(Personal/Local/National/Global): 2. Teacher A asked his students to find the product of these two binomials, (2y + 5) and (3y - 5) using FOIL method.
  • 5. Prime: What is the product of the two binomials? POSSIBLE ANSWERS Pre-Structural Uni-Structural Multi-Structural Relational Extended Abstract No Mastery Least Mastered Nearly Mastered Mastered Highly Mastered Name: Learning Area: Mathematics 7 TABLE OF SPECIFICATION III. Quarter: 1 Week:Week 7 No. of Days/Hours: 4 Competency Level in the RBT IV. MELC/s: solves problems involving algebraic expressions Apply V. Enabling Competency: Illustrates well-defined sets, subsets, universal sets, null set, cardinality of sets, union and intersection of sets and the different of two sets. Apply IV. Test Item Specifications Item No.1 Item No. 2 Item No. 3 Number of Test Items Level in the RBT Apply Apply Remembering Knowledge Dimension Conceptual Conceptual Factual
  • 6. Item Content Stimuli(Personal/Local/National/Global): 1. Student B need P1000 to buy a scientific calculator to be used in math class. Her neighbor will pay her P100 per hour as tutoring fee and her father gave her P300 for cleaning the house. Prime: Which inequality represents the minimum amount of hours she will need to tutor in order for her to buy her calculator? POSSIBLE ANSWERS Pre-Structural Uni-Structural Multi-Structural Relational Extended Abstract No Mastery Least Mastered Nearly Mastered Mastered Highly Mastered 1000x + 100 ≤ 300 300x + 100 ≥ 1000 100x - 300 ≥ 1000 100x +300 ≥ 1000 Explanation of Answers It is not the answer because the total money, Student B needed is 1000. Item Content Stimuli(Personal/Local/National/Global): 2. A rectangular badminton play area has a length that is seven inches longer than its width (w). The perimeter of this badminton play area is at most 30 inches. Prime: Which of the following inequalities gives the possible values of "w"? POSSIBLE ANSWERS Pre-Structural Uni-Structural Multi-Structural Relational Extended Abstract
  • 7. No Mastery Least Mastered Nearly Mastered Mastered Highly Mastered w ≤ 8 w 11 w ≥4 w ≤4 Explanation of Answers It is from the measure of the width. It is the measure of the length of the rectangle. The symbol used in the answer is at least instead of at most which was given in the problem. From the solution below: 2L + 2W ≤ P 2(W+4) + 2W ≤ 30 2W+8+ 2W ≤ 30 4W ≤ 30 - 18 4W ≤ 16 W ≤ 16/4 W ≤ 4 Item Content Stimuli(Personal/Local/National/Global): 3. A family went to an amusement park and plan to take different rides. The amusement park charges P40.00 per ride. If the family have P360.00, Prime: How many ride can they take?
  • 8. POSSIBLE ANSWERS Pre-Structural Uni-Structural Multi-Structural Relational Extended Abstract No Mastery Least Mastered Nearly Mastered Mastered Highly Mastered y= 5 y= 200-40 y = 40/200 y= 200/40 Explanation of Answers It shows the answer on the equation being asked. The operation used was is incorrect. The operation used was right but the given number was placed incorrectly. The operation and placing of the given are correct. Linear equation written correctly thus, represents the relationships of the given problems. Name: Learning Area: Mathematics TABLE OF SPECIFICATION VI. Quarter: 2 Week: Week 8 No. of Days/Hours: 4 Competency Level in the RBT MELC/s: differentiates algebraic expressions, equations and inequalities. illustrates linear equation and inequality in one variable. Apply VII. Enabling Competency: Apply IV. Test Item Specifications Item No.1 Item No. 2 Item No. 3 Number of Test Items Level in the RBT Apply Remembering Knowledge Dimension Conceptual Factual . Item Content Stimuli(Personal/Local/National/Global): 1. A number is 4 times another. If their sum is 70. Find the larger number.
  • 9. Prime: What is the larger number? POSSIBLE ANSWERS Pre-Structural Uni-Structural Multi-Structural Relational Extended Abstract No Mastery Least Mastered Nearly Mastered Mastered Highly Mastered 4x x+4x=70 14 56 This answer is just one of the given facts. The answer is the equation or number sentence of the problem. This answer is the smaller number you’ll get in solving the equation. By the solution below: x + 4x = 70 5x= 70 x=70/5 x=14 - the smaller number 4(x) 4(14) 56 - the larger number Item Content Stimuli(Personal/Local/National/Global): 2.A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.It uses equal sign that indicates equality. Prime: Which of the following algebraic expressions are linear equations? i.2x+ 5 = 3 ii. 3b2 ≤ 20 iii. ab + a + 5 = 10 iv.x ≥ 6 v. 3x - 6 = 2
  • 10. POSSIBLE ANSWERS Pre-Structural Uni-Structural Multi-Structural Relational Extended Abstract No Mastery Least Mastered Nearly Mastered Mastered Highly Mastered Only b and d are linear equations. a, b, c are linear equations. Only a nd c are linear equations. a, c, e are linear equations. Explanation of Answers b and d are linear inequalities. The symbol used expresses inequality. Only a and c are linear equation while b is an inequality also, it is q quadratic equation. a and c are linear equations but e expression is linear equation too. These are all linear equations because the expressions’ highest exponent of the variable is one. And uses equal sign that indicates equality.