REVIEWER Quarter 1

Division of Negros OccidentalCottage Road, Bacolod City MATHEMATICSI

Designed 2011 by the Learning Resource Management and Development System (LRMDS), DepEd - Division of Negros Occidental under the Strengthening the Implementation of Basic Education in Selected Provinces in the Visayas (STRIVE). Section 9 of Presidential Decree No. 49 provides: No copyright shall subsist in any work of the Government of the Republic of the Philippines. However, prior approval of the government agency or office wherein the work is created shall be necessary for exploitation of such work for profit. This material was developed by the Secondary Mathematics Teachers of Dep Ed Division of Negros Occidental, CottageRRoad, Bacolod City ,Philippines This edition has been created with permission for online distribution through the Learning Resource Management Development System (LRMDS) Portal (http://lrmds.deped.gov.ph/) under Project STRIVE for BESRA, a project supported by AusAID.

Reviewer in Mathematics I Quarter I Division of Negros Occidental Cottage Road, Bacolod City TABLE OF CONTENTS Topic Page I. Test Questions. . . . . . . . . . . . . . . . 1-8 II. Key Answers . . . . . . . . . . . . . . . . . 9 Solutions to Problems. . . . . . . . . . 10 IV. Competencies Budget Outlay. . . .11-17 DEPARTMENT OF EDUCATION Region VI-Western Visayas DIVISION OF NEGROS OCCIDENTAL Cottage Road, Bacolod City FIRST GRADING REVIEW QUESTIONS Mathematics I DIRECTIONS: Read each question carefully and select the correct answer from the alternatives that follow.Write the LETTER only. 1. Which of the following is a standard unit of measure? A. Cubit B. Fathom C. Handful D. Kilogram 2. Which of the instruments below is used to measure the weight of small objects? A. Graduated Cylinder B. Platform Balance C. Thermometer D. Weighing Scale 3. What is the common name for cubic meter? A. Gram B. Kilogram C. Liter D. Tonne 4. Which is equivalent to dam2? A. Are B. Hectare C. Meter D. Kilometer 5. One score is equivalent to 20 years. How many years in one century? A. 10 B. 100 C. 1000 D. 10000 6. 4 500 mL = ________ Dekaliters A. 450 B. 45 C. 4.5 D. 0.45 7. If 60 seconds equals one minute. How many seconds are there in 7 hours? A. 420 B. 840 C. 8 400 D. 25 200 8. Lara drinks 12 glasses of water every day. Each glass holds 320 mL. How many liters of water does Lara drink each day? A. 3 840 B. 384 C. 38.4 D. 3.84 9. When the sun is overhead, the temperature on the lunar equator reaches 117oC. What is the temperature in oF? A. 24.26 B. 242.6 C. 2 426 D. 24 260 10. In a class of 60 students, there are 45 girls. To which ratio does 45:60 refer? A. Girls to Boys B. Boys to Class C. Boys to Girls D. Girls to Class 11. In a class of 50 students, there are 20 boys. If 5 girls are absent, What is the ratio of boys to the girls present? A. B. C. D. 12. Round 2 906.587 to its nearest hundredths. A. 2 907 B. 2 906.59 C. 2 906.58 D. 2 906.6 13. The cars odometer shows 6 329 before a trip. At the end of the trip, it reads 6 721. Estimate the distance traveled to the nearest hundreds. A. 500 B. 400 C. 300 D. 200 14. From the temperature of 42oC, the temperature dropped by 20oC, then rose by 75oC and finally dropped by 1oC. What was the temperature after the given changes? A. 96 B. 98 C. 136 D. 137 15. A truckload of cargo weighs 22 680 kilograms. If each piece of cargo weighs 43.2 kilogram, how many pieces are there in the load? A. 52.5 B. 255 C. 525 D. 552 16. What is 30 6 + 8 13? A. 0 B. 1 C. 30 D. 31 17. Carla has Php 350. She bought a book worth Php 127. How much money does she have left? A. Php 223 B. Php 232 C. Php 323 D. Php 332 18. If the word DOWN indicates negative direction, then which of the following indicates positive direction? A. Backward B. Below C. Left D. Up 19. Which refers to a positive integer if the following are to be associated with integers? A. 32 kg loss B. Php 100 profit C. 5 steps backward D. A withdrawal of Php 100 20. Which of the following set of integers is arranged in ascending order? A. -100, -10, -2, -1 B. -1, 0, 2, -10 C. 0, -1, 2, 10 D. -1, 0, -10, 2 21. What is the correct relation symbol for: |-3| ____ |-2| A. > B. < C. > D. = 22. What is the simplified form of |-15| + |22 2|? A. 5 B. 7 C. 35 D. 39 23. Which of the given expressions has a greater value? I. |76| - |-18| II. 78 + |8-3| A. I only B. II only C. I and II D. None of the above 24. The sum of two negative integers is __________ . A. Positive B. Negative C. Zero D. Could not be determined 25. What will be subtracted from -50 in order to get a difference of 75? A. -125 B. -25 C. 25 D. 125 26. The product of (+3) and (-9) is -27. Which is the product of (-8) and (-7)? A. 56 B. 15 C. -15 D. -56 27. What is the result of (-105)7? A. 25 B. 15 C. -15 D. -25 28. At Php 47.00 per dollar, how much will $50 be worth? A. Php 2 350 B. Php 2 530 C. Php 3 502 D. Php 5 023 29. Which of the following is a repeating decimal? A. B. C. D. 30. Which is the simplest form of? A.

B. C. D. 31. What is the multiplicative inverse of? A. -

B. - C. D. 32. Which of the following is a rational number? A.

B. C. 0.333 D. 1.414243 33. Which of the following set of fractions is arranged in decreasing order? A. , , , B. , , , C. , , , D. , , , 34. Which of the following fraction is the greatest? A.

B. C. D. 35. A group of boy scouts went mountain hiking. They walked 6 km on their way up. On their way down, they took 4km route. How much shorter was the second route? A. 1 B. 1 C. 2 D. 2 36. What fractional part of the rectangle at the right is shaded if AB = AF? A.

B. C. D. 37. What is the relation between ? and

A. > B. < C. > D. < 38. A 4 plate of pizza pie was left among the 9 children. If this will be divided among them equally, how much will each received?

A. B. C. D. 39. Bea has two cakes of the same size and shape. If she divided each into 8 congruent parts and 12 slices were eaten, what is the fractional part of the cakes that were left? A.

B. C. D. 40. Which weighs more and by how much if twelve large chocolate bars each weighing 2grams or 24 small chocolate bars each weighing gram? A. Large chocolate bars by 10.2 g B. Large chocolate bars by 8.2 g C. Small chocolate bars by 10.2 g D. Small chocolate bars by 8.2 g -END OF TEST-

Review Questions 2 2

Mathematics 1-Elementary Algebra First Grading Review Questions 2 2

Mathematics 1-Elementary Algebra First Grading DEPARTMENT OF EDUCATION Region VI-Western Visayas DIVISION OF NEGROS OCCIDENTAL Cottage Road, Bacolod City REVIEW QUESTIONS- Answer Key Mathematics I-First Grading Item Number Answer Item Number Answer

1 D 21 A

2 B 22 C

3 D 23 B

4 A 24 B

5 B 25 A

6 C 26 A

7 D 27 C

8 D 28 A

9 B 29 B

10 D 30 A

11 C 31 D

12 B 32 C

13 B 33 A

14 A 34 A

15 C 35 B

16 A 36 C

17 A 37 A

18 D 38 D

19 B 39 C

20 A 40 A

DEPARTMENT OF EDUCATION Region VI-Western Visayas DIVISION OF NEGROS OCCIDENTAL Cottage Road, Bacolod City REVIEW QUESTIONS 2 - Solutions Mathematics I FIRST GRADING 8. 12 glasses x 320 ml = 3840 ml 3840 ml = 3. 84 L 9. oF = 1.8 oC + 320 = 1.8 (117) + 32 = 210.6 + 32 = 242.6 oF

MATH 1 FIRST GRADING Budgeted Course Outline

TOPIC CONCEPTS OBJECTIVES VALUE FOCUS SKILLS TO BE DEVELOPED MATERIALS STRATEGY NO. OF DAYS TARGET DATES ACTUAL DATES

I. MEASUREMENT The History of Measurement Trace briefly the development of measurements from the primitive to the present international system of unit A1. Illustrate the development of measurement from the primitive to the present international system of units Appreciation and gratefullness for our ansestors in Math Understand the difference of the measurements from the past to the present Parts of the human body, meterstick, ruler, tape measure Exposition 1

A1.2 Appreciate the development measurement from the primitive to the present

Measures and Measuring Devices Correct manipulation of measuring devices A2. 1 Identify and use the different instruments commonly used in measuring length, weight, volume, temp., angle Mental alertness in recognizing similarities Realize the need for measurement Measuring devices for length, weight, mass, volume, time, temp., angle Manipulation of instruments 1

A2.2 Identify the

units of measure used for length, weight, volume, temp., angle 1

Conversion of Units Conversion of one unit of measure to another A3.1 Convert units of length to another using the metric system Adherence rules and regulations promotes discipline Develop a system from changing one unit of measure to another Table of equivalents for length Meterstick ruler Dimensions and Recall 2

A3.2 Convert units of area to another using the metric system Accuracy in computation leads to correct answer Develop mental frame of reference for unit of area Table of equivalents for area Prepare a game that will ddevelop the research work of the student 2

MATH 1 A3.3 Convert units of volume to another using the metric system Analytical thinking promotes better performance in the assigned tasks Develop mental frame of reference for unit of volume Table of equivalents for volume Demonstration and Recall 2

A3.4 Convert units of mass to another using the metric system Preciseness in computaion Develop mental frame of reference for unit of mass Table of equivalents for mass Demonstration and Recall 2

A3.5 Convert units of temperature to another using the metric system Accuracy Develop mental frame of reference for unit of temperature Thermometer Demonstration and Recall 1

BCO

TOPIC CONCEPTS OBJECTIVES VALUE FOCUS SKILLS TO BE DEVELOPED MATERIALS STRATEGY NO. OF DAYS TARGET DATES ACTUAL DATES

Measurements Involving Ratio Express relationship of quantities in terms of ratio A4.1 Define Ratio Awareness Visualize and compare the relationship between 2 or more quantities Cite examples in real life situation involving ratio Recall and Lecture 1

A4.2 Express relationship between 2 quantities using ratios

Problems Involving Ratio Solving problems involving ratio in real life situation A4.3 Solve the problems involving ratio between measurements A systematic approach to problem solving leads to an orderly way of life To observe steps in problem solving Problems involving ratio Discussion 1

Rounding Numbers Apply the knowledge of rounding off numbers in real life situations A5.1 Round off numbers in a given place value (e.g. nearest ten, nearest tenth) Patience appreciate the importance of rounding off nos. in everyday life Develop speed in rounding off nos. Recall rules for rounding nos. Prepared tables calculator (optional) Recall and discussion 1

Round off measurements A5.2 Identify the numbers of significant figures in the given numbers Acurracy Identify the significant figure with speed Prepared visual aids, colored chalk Lecture and discussion 1

Problems Involving Measurements Solving the problems involving measurements A6 Solve problems involving measurements A systematic approach to problem solving leads to an orderly way of life Observe steps in problem solving Problems on measurements, manila paper Apply the steps of problem solving the real life situation 2

Properties of Real Numbers

B. Real Numbers System. Real Numbers Operation on real numbers solving problems involving operations of whole nos. B1.1 Review operation on whole numbers ( MDAS/PEMDAS) Recollection of ideas Mastery of ideas Flash cards Solving puzzles problems 2

B1.2 Solve problems on operation of whole numbers Preciseness Solving problems with Speed Prepared problems Discussion 1

MATH 1 BCO

TOPIC CONCEPTS OBJECTIVES VALUE FOCUS SKILLS TO BE DEVELOPED MATERIALS STRATEGY NO. OF DAYS TARGET DATES ACTUAL DATES

Integers Concepts of opposite B2.1 Describe opposite quantities in real life situations Appreciate the beauty of nos. in real life Represent each expression by a signed nos. with speed News paper, magazines and clippings Discovery method 1

B2.2 Illustrates integers on the number line Open minded-ness to the positiveness&negativeness of life situation Relate the possitive/negative aspects of life

B2.3 Use integers to describe possitive or negative quantities

Ordering integers on the number line B3.1 Visualize integers and their order on the number line Orderliness leads to better results Relate the order of integers to their values using a number line Number line, colored chalk Exposition Discussion 1

Arranging integers in increasing/decreasing order B.4 Arrange integers in increasing or decreasing order Perseverance and determination in ones work will yield fruitfull result Arrange integers in increasing and decreasing order Introduce the lesson through a walk, dance, where students move sideward Prepare a group exercise and asked the students to work in group of 5

Absolute Value Absolute value of a number B.5 Define absolute value of a number as distance from the origin in the number line Mental Alertness Mastery in determining the distance of any point from zero Improves no. line with magnetic chip of different colors in presenting the lesson Discovery method 1

Simplifying expressions involving absolute value B6.1 Compare the absolute values of integers Life itself is valuable Mental alertness Visual aid Discovery

Colored chalk Recall

Solving problems / equations with absolute value using the numberline B6.2 Solve simple absolute value equations using numbar line Accuracy Speed and preciseness in simplifying equations involving absolute value of numbers Hand-outs Discovery Discussion 2

Visual aids

(map reading to find distance with one another)

MATH 1 BCO

TOPIC CONCEPTS OBJECTIVES VALUE FOCUS SKILLS TO BE DEVELOPED MATERIALS STRATEGY NO. OF DAYS TARGET DATES ACTUAL DATES

Operations on Integer Perform Fundamental Operations B7.1 Use diagram to add integers Careful evaluat- ion leads to better results Finding the sum of integers Worksheets Cooperative learning 1

B7.2 Formulates the rules for Accuracy in computation leads to correct results Subtracting and adding integers Filpchart Discussion 2

a) Addition for Integers

b) Subtraction of Integers

B7.3 State and illustrate the properties used in addition and subtration of integers Addition of good traits, subtration of vices and immoralities in society Illustrating the different properties of integers Flashcard Discovery and Exposition

Solving problems involving addition and subtraction of integers B7.4 Solve reallife problems involving addition and subtraction of integers Patience and Systematic Approach of problem solving Apply the rules for addition and subtrction of integers Hand-outs Discussion 1

Recall

Stating the properties of integers B7.5 Find the product/quotient of 2 signed numbers Care and orderliness leads to better results Multiply and divide 2 signed numbers with speed and accuracy Flashcard Exposition 2

a) Product of Signed Numbers

b) Quotient of Signed Numbers

Rational Numbers Defining and identifying rational numbers B8.1 Define and identify a rational number Patience Mental alertness Flipchart Discussion 1

Changing Fraction to Decimal and vice versa B8.2 Express a rational number from fraction form to decimal form and vice versa Care and orderliness leads to better results Mastery in changing fraction to decimal Hands-out and Flashcard Exposition 2

Identifying the classification of rational numbers B8.3 Express a terminating and repeating decimal as fraction Perseverance and determination Classify the rational number as terminating and repeating decimals as fractions Hands-out Discovery 2

MATH 1 BCO

TOPIC CONCEPTS OBJECTIVES VALUE FOCUS SKILLS TO BE DEVELOPED MATERIALS STRATEGY NO. OF DAYS TARGET DATES ACTUAL DATES

Operations on Fractions Rational numbers on number line B9.1 Use number line and cross multiplication to compare fraction Orderliness and preciseness Comparing fractions using a number line and cross multiplication with speed Improvised number line colored chalk Exposition Discussion 1

Comparison of two 2 fractions B9.2 Compare 2 fractions using the symbols & = Accuracy Comparing two fractions with speed Flashcards Discovery 1

Order of fraction B9.3 Arrange fractions in increasing or decreasing order Care and orderliness leads to better results Arranging fraction in increasing and decreasing order Worksheets Cooperative learning 1

Hand-outs

Addition and Subtraction of fractions B10.1 Add and subtract fraction Self expression Adding and Subtracting fractions Worksheets Exposition 2

Discussion

Addition and subtraction of mixed numbers B10.2 Add and Subtract mixed numbers Analytical mind Add and Subtract mixed numbers Worksheets Discussion 2

Problem solving on B10.3 Solve Systematic approach in Applying the Hand-outs Cooperative 2

addition and subtraction of fraction and mixed numbers problems involving addition and subtraction of fraction and mixed number solving problems rule in addition and subtraction and mixed fractions learning

Multiplication of fractions and mixed numbers B10.4 Multiply fractions and mixed numbers Accuracy and Patience Multiplying of fractions and mixed numbers with speed Flashcards Discussion 2

Recall

Division of fraction and mixed numbers B10.5 Divide fraction and mixed numbers Preciseness Dividing of fraction and mixed numbers Flashcards Cooperative learning 1

Cooperation Worksheets