Assessment Method
- 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
- 9. 9 JRBT 2014 COT-MUST EDU61 (1st sem 2014)