Grade 5 Mathematics Syllabus o44l

Montessori De Sagrada Familia Tangos, Baliuag, Bulacan

SYLLABUS FOR MATHEMATICS (Grade 5) (Revised 2013) I. First Grading Period A. Objectives: 1. Name the place value of a fifteen-digit number. a. Read and write five to fifteen-digit numbers in numeral and word forms. 2. Express numbers in expanded notation using exponents. 3. Identify the different relation symbols (<, >, =). a. Compares whole numbers using the different relation symbols. 4. Order whole numbers through billions. 5. State and apply the rules in rounding off whole numbers. 6. Round off numbers up to trillions. 7. Recognize the different properties of addition and multiplication of whole numbers. a. Apply the different properties in performing addition or multiplication. 8. Add four to fifteen-digit numbers. 9. Subtract three to twelve-digit numbers from three to fifteen-digit numbers. 10. Multiply whole numbers with up to 15 digits by one to three-digit numbers. 11. Divide four to six-digit numbers by two to four-digit numbers. 12. List the hierarchy of operations. a. Simplify mathematical expressions involving different hierarchy of operations. 13. Understand the divisibility rules of numbers. a. Apply the divisibility rules of numbers. 14. Apply the divisibility rules of numbers in finding the factors of a number . a. Find the factors of numbers up to 1,000. b. Find the multiples of numbers. 15. Identify prime and composite numbers. 16. Understand the concept of prime factorization. 17. Find the greatest common factor (GCF) of the set of given numbers by the method of prime factorization. 18. Find the least common multiple (LCM) of two or more numbers. 19. Apply the concept of GCF and LCM in solving word problems. B. Content: 1. Understanding Whole Numbers a. Place Value Up to Trillions b. Comparing and Ordering Whole Numbers c. Rounding Off Whole Numbers 2. Operations on Whole Numbers a. Basic Properties of the Fundamental Operations on Numbers b. Addition and Subtraction of Whole Numbers c. Multiplication of Whole Numbers d. Division of Whole Numbers e. Order of Operations 3. Basic Concepts in Number Theory a. Divisibility Rules for 2, 3, 4, 5, 6, 7, 8, 9, and 10 b. Factors and Multiples of a Number c. Prime and Composite Numbers d. Greatest Common Factor and Least Common Multiple C. Strategies to be used: 1. Interactive Discussion 2. Collaborative learning 3. Lecture 4. Power Point Presentation D. Assessment Tools: 1. Written Drills 2. Board Work

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Seatwork Quizzes Summative Test Periodical Test

E. Performance Task: 1. Portfolio 2. Project II. Second Grading Period A. Objectives: 1. Identify the different kinds of fractions. a. Change improper fractions to mixed forms and vice versa b. Solve word problems involving fractions 2. Change dissimilar fractions to similar fractions. a. Identify equal fractions. b. Compare fractions. c. Change fractions to lower/higher . 3. Add and subtract similar and dissimilar fractions. 4. Add and subtract whole numbers and fractions, or whole numbers and mixed number. 5. Multiply fractions and mixed numbers. 6. Define the reciprocal of a number. 7. Divide fractions and mixed numbers. 8. Read and write decimals. a. Identify the place value of decimals. 9. Compare decimals using the different relation symbols. 10. Order decimal numbers. 11. State the rules in rounding off decimal numbers. a. Round off decimal numbers through the ten thousandths place. 12. Add and subtract decimals up to ten-thousandths place with or without regrouping. 13. Multiply decimals by powers of 10. 14. Perform multiplication of decimals. 15. Divide decimals by the powers of 10. 16. Divide decimals by whole numbers. 17. Perform division between decimals. 18. Solve expressions involving the four operations on decimals using the rule on order of operations. B.

Content: 1. Fractions a. Kinds of fractions b. Comparing and Ordering Fractions c. Reducing fractions to Lowest d. Addition and Subtraction of Similar and Dissimilar Fractions e. Multiplication of Fractions f. Division of Fractions 2. Decimals and Money a. Decimals b. Rounding Off Decimals c. Addition and Subtraction of decimals d. Multiplication of Decimals e. Division of Decimals f. Order of Operations on Decimals

C. Strategies to be used: 1. Interactive Discussion 2. Collaborative learning 3. Lecture 4. Power Point Presentation D. Assessment Tools: 1. Written Drills

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Board Work Seatwork Quizzes Summative Test Periodical Test

E. Performance Task: 1. Portfolio 2. Project III. Third Grading Period A. Objectives: 1. Express the ratio of two numbers. 2. Write the ratio of two numbers in simplest form. 3. Test the equality of proportions by using cross multiplications. 4. Differentiate direct from indirect proportions. 5. Read and write percent. 6. Convert fractions and decimals to percent and vice versa. 7. Find the percentage of a number, the rate, and the base. 8. Know the relationship existing among the rate, the base, and the percentage. 9. Identify points, planes, line segments, rays, intersecting lines and parallel lines. 10. Define a plane figure. 11. Identify the different types of plane figures. 12. Classify the different types of polygons. 13. Classify the different types of triangles. 14. Classify the different types of quadrilaterals. 15. Define a circle and its parts. 16. Define and identify the different space figures. B. Contents: 1. Ratio and Percent a. Ratio and Proportion b. Rate, Base, and Percentage 2. Geometry a. Basic Geometric Figures b. Plane Figures c. Space Figures C. Strategies to be used: 1. Interactive Discussion 2. Collaborative learning 3. Lecture 4. Power Point Presentation D. Assessment Tools: 1. Written Drills 2. Board Work 3. Seatwork 4. Quizzes 5. Summative Test 6. Periodical Test E. Performance Task: 1. Project 2. Portfolio

IV. Fourth Grading Period A. Objectives: 1. Find the perimeter of a polygon. 2. Find the circumference of a circle. 3. Identify the unit to use to measure the area of surfaces.

4. Find the area of a plane figure. 5. Convert one square unit of measure to a larger or smaller unit. 6. Solve word problems involving area of plane figures. 7. Tell the unit to use to measure the volume of a simple space figure. 8. Convert one cubic unit of measure to a larger or smaller unit. 9. Find the volume of simple space figures. 10. Name the different parts of a graph. 11. Interpret legends used in graphs. 12. Read and interpret data presented in a graph. 13. Determine the most appropriate kind of graph to be used for a particular set of data. 14. Construct the different kinds of graphs. B. Contents: 1. Measurement a. Perimeter and Circumference b. Area c. Volume 2. Graphs C. Strategies to be used: 1. Interactive Discussion 2. Collaborative learning 3. Lecture 4. Power Point Presentation

D. Assessment Tools: 1. Written Drills 2. Board Work 3. Seatwork 4. Quizzes 5. Summative Test 6. Periodical Test E. Performance Task: 1. Project 2. Portfolio

BIBLIOGRAPHY: Elenzano, Mecurio T., et al. Beyond Math (Grade 5). Makati City: Phoenix Publishing House, Inc., 2009 Camitan, Alice A., Number Smart(Grade 5 )Sampaloc, Manila: Rex Bookstore, Inc., 2009 Coronel, Carmelita C., et al. Mathematics for a Changing World (Grade 5). Metro Manila: VIBAL Publishing House Inc., 2001 Melad, Julio B., et al. Realistics Math 5. Quezon City: SIBS Publishing House Inc., 2001

Prepared by: Ellen P. Del Rosario Charmaine R. Nacario