1. 1
JRBT 2014 COT-MUST EDU61 (1st
sem 2014)
Pre Assessment questionnaires for Grade 8 students to determine how much they have
learned from their previous math lessons before moving on to Polynomials. (Diagnostics)
Exercise 1. *
Directions: Determine if the following statements are True of False. Write T if the statement is
True. Write F if the statement is False.
________1. Two algebraic expressions having the same value for the same replacement of the
variable are said to be equivalent expressions.
________2. Simplifications if the process of arriving at an equivalent expression which is
simpler than the original or given expression.
________3. In performing a series of operation, multiplication and division must always be
performed in the order indicated before addition and subtraction are performed in
the order or occurrence.
________4. An open sentence of equality like x+3=11 is not an equation.
________5. Composite numbers are whole numbers greater than 1 and having only 2 factors -
itself and 1.
Exercise 2. *
Directions: Fill in the blanks
6. ____________ and _____________ are two kinds of mathematical expressions.
7. ____________ is an expression of more than two algebraic terms, especially of the sum
several terms that contain different powers of the same variables.
8. ____________ is shorthand of mathematics and makes use of letters and symbols to
translate verbal expressions into mathematical language that is universally
understood.
9. ____________ is an algebraic expression of the sum or the difference of two terms.
10. ____________ is the method of expressing a very large or very small numbers.
Exercise 3. **
Directions: Encircle the letter of your answer.
11. Your sister plans to remodel her closet. She hired a carpenter to do the task. What should
your sister do so that the carpenter can accomplish the task according to what she wants?
**source
Mathematics – Grade 8
Learner’s Module
First Edition, 2013
ISBN: 978-971-9990-70-3
*source
Basic Algebra for
Secondary Schools
By: Numidas O.Limjap
Carmen R.dela Peňa
2. 2
JRBT 2014 COT-MUST EDU61 (1st
sem 2014)
a. Show a replica of a closet.
b. Download a picture from the internet.
c. Leave everything to the carpenter.
d. Provide the layout drawn to scale
12. Which of the following standards would best apply in checking the carpenter’s
work in item number 11?
a. accuracy of measurements and wise utilization of materials
b. accuracy of measurements and workmanship
c. workmanship and artistic design
d. workmanship and wise utilization of materials
13. The city mayor asked you to prepare a floor plan of the proposed day care center in your
barangay. The center must have a small recreational corner. As head of the city
engineering office, what will you consider in preparing the plan?
a. Feasibility and budget
b. Design and budget
c. Design and Feasibility
d. Budget and lot area
14. Suppose there is a harvest shortage in your farm because of malnourished soil.
What will you do to ensure a bountiful harvest in your farmland?
a. Hire number of workers to spread fertilizers in the farmland.
b. Buy several sacks of fertilizers and use them in your farmland.
c. Find the area of the farmland and buy proportionate number of sacks of
fertilizers.
d. Solve for the number of sacks of fertilizers proportionate to the number of
workers.
15. The Punong Barangay in your place noticed that garbage is not properly disposed because
the garbage bins available are too small. As the chairman of the health committee, you
were tasked to prepare garbage bins which can hold 24 ft3 of garbage. However, the
location where the garbage bins will be placed is limited. How will you maximize the area?
a. Find the dimensions of the planned bin according to the capacity given.
b. Make trial and error bins until the desired volume is achieved.
c. Solve for the volume and use it in creating bins.
d. Find the area of the location of the bins.
3. 3
JRBT 2014 COT-MUST EDU61 (1st
sem 2014)
Exercise 4. *
Direction: Match column A to column B and write the letter of your answer in the space
provided.
Column A
Activity 1. **
Description:
In this activity, you will model the square of a binomial through paper folding. Investigate the pattern
that can be produced in this activity. This pattern will help you find the square of a binomial easily. You
can do this individually or with a partner.
Directions:
Get a square paper measuring 8” × 8”.
1. Fold the square paper 1” with from an edge and make a crease.
2. Fold the upper right corner by 1” and make a crease.
3. Unfold the paper.
4. Continue the activity by creating another model for squaring a binomial
by changing the measures of the folds to 2 in. and 3 in. Then answer the questions below.
16. x2
- 49 __________
17. 3x2
+ 5x - 2 __________
18. 8x2
+ 22x + 15 ___________
19. 45x2
+ 71x + 28 ___________
20. 32x2
19x + 6 ____________
a. (3x + 2) (5x + 4)
b. (9x + 7) (5x + 4)
c. (x – 7) (x +7)
d. (3x + 1) (x + 6)
e. (2x + 3) (4x + 5)
f. (x + 2) (3x - 1)
Column A Column B
4. 4
JRBT 2014 COT-MUST EDU61 (1st
sem 2014)
Figure A
Remember:
Area of square: A=S2
Are of rectangle: A= L W
1. How many different regions are formed? What geometric figures are formed? Give the dimensions of
each region?
2. What is the area of each region?
3. What will be the area if the longer part is replaced by x? by x and 1?
4. What is the sum of the areas?
5. If 1 is replaced by y, what will be the area?
First Tern Second Term Last Term
( x + 1 )2
( x + 2 )2
( x + 3 )2
( x + y )2
Did you find any pattern? What pattern is it?
1. How is the first term of the product related to the first term of the given binomial?
2. How is the last term of the product related to the last term of the given binomial?
3. What observation do you have about the middle term of the product and the
product of the first and last terms of the binomial?
7
7
1
1 X
X
Y
Y
5. 5
JRBT 2014 COT-MUST EDU61 (1st
sem 2014)
ASSESSMENT AND RATINGS OF LEARNING OUTCOME FOR GRADE 8 STUDENTS
KNOWLEDGE 15% (Results were based on Exercises 1 and 2)
Relative
Weight
1 90 15% 13.5
2 89 15% 13.4
3 87 15% 13.1
4 88 15% 13.2
5 87 15% 13.1
Rating
Carlo
Teresa
Alwin
Laarni
Gary
Name of Student Score
Process 25% (Results were based on Exercise 4)
Relative
Weight
1 Carlo 90 25% 22.5
2 Teresa 91 25% 22.8
3 Alwin 88 25% 22.0
4 Laarni 87 25% 21.8
5 Gary 88 25% 22.0
Name of Student Score Rating
Understanding 30% (Results were based on Activity 1)
Relative
Weight
1 92 30% 27.6
2 91 30% 27.3
3 89 30% 26.7
4 88 30% 26.4
5 89 30% 26.7
Alwin
Laarni
Gary
Score RatingName of student
Carlo
Teresa
6. 6
JRBT 2014 COT-MUST EDU61 (1st
sem 2014)
Products/Performance 30% ( results are based on Exercise 3)
Relative
Weight
96 30% 28.8
96 30% 28.8
94 30% 28.2
93 30% 27.9
95 30% 28.5
Laarni
Gary
Name of Student Score Rating
Carlo
Teresa
Alwin
Over-all Assessment Rating
Name of Student
Knowledge
Process
Understanding
Product
Over-all Rating (%)
Remarks
Name of Student
Carlo1 13.5 22.5 27.6 28.8 92.4 A
2 13.4 22.8 27.3 28.8 92.3 A
3 13.1 22.0 26.7 28.2 90.0 A
4 13.2 21.8 26.4 27.9 89.3 P
5 13.1 22.0 26.7 28.5 90.3 AGary
Carlo
Teresa
Alwin
Laarni
Observation/Insights
I felt blessed that I have been to Singapore for 3 days last year courtesy of my wife because she was
invited by her cousin who lived and work there together with her husband and their two kids. During
those times of my visit I was really impressed on Singapore’s urban planning. It seems everything were
patiently planned and designed in such a way that every square meter of their total land area was
properly utilized. Their office buildings, Industrial sites, housings, recreation centers, malls, botanical
gardens, tourist destinations (etc.) were carefully arranged in strategic places to maximize the efficiency
of their transportation system (especially the MRT and LRT System) and thereby getting fast and easy
transport from one point of destination to another. It also avoids waste of time from traffic going to
their workplaces to and fro.
Not counting their Changi International Airport which is one of the best in the world. What an
impressive feat for a tiny island nation like Singapore, only one third the size of the total land area of
Davao City. How I wish our beloved country would achieve what Singapore has reached today or
perhaps surpassed them in terms of economic success. I think the K to 12 program of DepEd is a big step
forward on realizing that dream, guiding and preparing school kids to become advance learners and be
highly competitive in their chosen field while molding others to become our future leaders and good
decision makers someday taking the reign and make our nation great.
7. 7
JRBT 2014 COT-MUST EDU61 (1st
sem 2014)
DepEd Order No. 73, s 2012
GENERAL GUIDELINES FOR THE ASSESSMENT AND RATING OF LEARNING OUTCOMES
Level of Assessment Percentage Weight
Knowledge 15%
Process or Skills 25%
Understanding(s) 30%
Products/Performance 30%
Total 100%
The levels of assessments are defined as follows;
1. Knowledge - the substantive content of the curriculum, the facts and information that the
students acquire.
2. Process – skills of cognitive operations that the student performs on the facts and information for
the purpose of constructing meaning and understandings.
3. Understandings – enduring big ideas, principles and generalizations inherent to the discipline,
which may be assessed using the facets of understanding or other indications of understanding
which may be specific to the discipline.
4. Products/Performance – real life applications of understanding as evidenced by the student’s
performance of authentic tasks.
The level of proficiency at which the students is performing shall be based on a numerical value which is
arrived at after summing up the results of the student’s performance on the assessments. The numerical
values are as follows:
Level of Proficiency Equivalent Numerical Value
Beginning 74% and above
Developing 75 – 79%
Approaching Proficiency 80 – 84%
Proficient 85 – 89
Advanced 90% above
Note: All the assessment rating calculations are based only on my own understanding of DepEd Order no. 73 s
2012. Any comments, suggestions or correction for the improvement of this project/assignment are very much
welcome.
“To God Be All the Glory”
8. 8
JRBT 2014 COT-MUST EDU61 (1st
sem 2014)
Answer key
1. T
2. T
3. T
4. F
5. F
6. Algebraic and Arithmetic
7. Polynomial
8. Algebra
9. Binomial
10. Scientific Notation
11. D
12. D
13. D
14. C
15. A
16. C
17. F
18. E
19. B
20. D
Activity 1
1. 16, 9 squares (1in x 1in), one square (5in x5in ), 6 rectangles (1in x 5in)
2. 1in2
, 25in2
, 5in2
3. (x+1)2
, (x+2)2
4. 64in2
5. (x+y)2
First Term Second Term Last Term
( x + 1 )2
X2
2x 1
( x + 2 )2
X2
4x 4
( x + 3 )2
X2
6x 9
( x + y )2
X2
2xy Y2
