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MATATAG curriculum

Grade 5 Mathematics

49 learning competencies across 4 quarters, as the Department of Education curriculum guide prints them.

Quarter 1

Content standard

1. 12- and 24-hour time, and world time zones. 2. the GMDAS rules for operations with numbers. 3. multiplication of fractions. 4. area of a parallelogram, triangle, and trapezoid.

Performance standard

use 12- and 24- hour time. compare the time in world time zones with the time in the Philippines. use the GMDAS rules for 3 or more different operations. multiply fractions. determine the area of a parallelogram, triangle, and trapezoid.

Learning competencies (12)

  • MATH-G5-Q1-01

    describe a 12- and 24-hour clock system.

    Measurement and Geometry

  • MATH-G5-Q1-02

    convert 12-hour time to 24-hour time, and vice-versa.

    Measurement and Geometry

  • MATH-G5-Q1-03

    solve problems involving 12- and 24-hour time.

    Measurement and Geometry

  • MATH-G5-Q1-04

    compare the time in different world time zones to the time in the Philippines using a world time zone map.

    Measurement and Geometry

  • MATH-G5-Q1-05

    solve problems on comparing the time in different world time zones to the time in the Philippines.

    Measurement and Geometry

  • MATH-G5-Q1-06

    perform three or more different operations by applying the GMDAS rules.

    Number and Algebra

  • MATH-G5-Q1-07

    multiply fractions using models.

    Number and Algebra

  • MATH-G5-Q1-08

    multiply a fraction by a fraction.

    Number and Algebra

  • MATH-G5-Q1-09

    solve multi-step problems involving multiplication of fractions that may or may not also involve addition or subtraction of fractions.

    Number and Algebra

  • MATH-G5-Q1-10

    identify the height of a parallelogram, triangle, and trapezoid, in different orientations.

    Measurement and Geometry

  • MATH-G5-Q1-11

    find the area of a parallelogram, triangle, and trapezoid, in sq. cm or sq. m, using formulas.

    Measurement and Geometry

  • MATH-G5-Q1-12

    estimate the areas of triangles and quadrilaterals (parallelogram, rhombus, trapezoid) using grids.

    Measurement and Geometry

Quarter 2

Content standard

1. division of fractions. 2. decimal numbers with decimal parts up to ten thousandths. 3. addition and subtraction of decimal numbers. 4. divisibility rules. 5. prime and composite numbers.

Performance standard

divide fractions. compare, order, and round decimals to the nearest one thousandth. add and subtract decimal numbers. use divisibility rules. distinguish prime numbers from composite numbers.

Learning competencies (12)

  • MATH-G5-Q2-01

    divide fractions using models.

    Number and Algebra

  • MATH-G5-Q2-02

    divide a fraction by a fraction.

    Number and Algebra

  • MATH-G5-Q2-03

    solve multi-step problems involving division of fractions that may or may not involve the other operations with fractions.

    Number and Algebra

  • MATH-G5-Q2-04

    determine

    • a. the place value to thousandths of a digit in a given decimal number,
    • b. the value of a digit, and
    • c. the digit of a number, given its place value.

    Number and Algebra

  • MATH-G5-Q2-05

    read and write decimal numbers with decimal parts to thousandths.

    Number and Algebra

  • MATH-G5-Q2-06

    convert terminating decimals to fractions, and vice versa.

    Number and Algebra

  • MATH-G5-Q2-07

    compare and order decimal numbers with decimal parts to thousandths.

    Number and Algebra

  • MATH-G5-Q2-08

    round decimal numbers to the nearest thousandths.

    Number and Algebra

  • MATH-G5-Q2-09

    add and subtract decimal numbers with decimal parts of up to 3 decimal places.

    Number and Algebra

  • MATH-G5-Q2-10

    solve multi-step problems involving addition and/or subtraction of decimals, including problems involving money.

    Number and Algebra

  • MATH-G5-Q2-11

    use divisibility rules to find common factors of numbers:

    • a. divisibility rules for 2, 5, and 10,
    • b. divisibility rules for 3, 6, and 9, and
    • c. divisibility rules for 4, 8, 11, and 12.

    Number and Algebra

  • MATH-G5-Q2-12

    distinguish prime numbers from composite numbers using the Sieve of Eratosthenes.

    Number and Algebra

Quarter 3

Content standard

1. double bar graphs and double line graphs. 2. theoretical probability. 3. multiplication and division of decimal numbers.

Performance standard

identify, construct, and interpret double bar graphs and double line graphs. draw conclusions and make inferences from data represented in double bar graphs and double line graphs. calculate theoretical probability. multiply and divide decimal numbers.

Learning competencies (13)

  • MATH-G5-Q3-01

    collects bivariate data from interview, questionnaire, and other appropriate sources.

    Data and Probability

  • MATH-G5-Q3-02

    identify the appropriate graph (bar graph or line graph) to represent a given set of data.

    Data and Probability

  • MATH-G5-Q3-03

    construct double bar graphs and double line graphs.

    Data and Probability

  • MATH-G5-Q3-04

    interpret data presented in a double bar graph or a double line graph.

    Data and Probability

  • MATH-G5-Q3-05

    draw conclusions or make inferences based on data presented in a double bar graph or a double line graph.

    Data and Probability

  • MATH-G5-Q3-06

    solve problems using data presented in a double bar graph or a double line graph.

    Data and Probability

  • MATH-G5-Q3-07

    describe probability as a measure of the chance of an event occurring.

    Data and Probability

  • MATH-G5-Q3-08

    calculate the theoretical probability of a simple event by listing all possible outcomes.

    Data and Probability

  • MATH-G5-Q3-09

    estimate each of two decimal numbers to the nearest whole number to estimate their product.

    Number and Algebra

  • MATH-G5-Q3-10

    multiply decimal numbers with decimal parts of up to 2 decimal places.

    Number and Algebra

  • MATH-G5-Q3-11

    solve multi-step problems involving multiplication of decimals that may or may not also involve addition or subtraction of decimals, including problems involving money.

    Number and Algebra

  • MATH-G5-Q3-12

    estimate the quotient when dividing two decimal numbers by estimating the dividend and divisor to the nearest whole number.

    Number and Algebra

  • MATH-G5-Q3-13

    divide:

    • a. 1- to 2-digit whole numbers resulting in a terminating decimal quotient (e.g., 4 ÷ 5 = 0.8), and
    • b. a decimal of up to 2 decimal places by a 1- to 2-digit whole number, resulting in a terminating decimal quotient of up to 3 decimal places.

    Number and Algebra

Quarter 4

Content standard

1. GMDAS rules when performing three or more operations with fractions and decimals. 2. prisms and pyramids. 3. surface area of solid figures. 4. cubes and rectangular prisms. 5. resulting image after rotation

Performance standard

apply the GMDAS rules with operations with fractions and decimals. illustrate and describe solid figures and their nets. determine the surface area of solid figures. distinguish between cubes and rectangular prisms, and estimate their volumes. draw the image of an object after applying rotation about a point

Learning competencies (12)

  • MATH-G5-Q4-01

    solve multi-step problems involving division of decimals that may or may not also involve the other operations with decimals, including problems involving money.

    Number and Algebra

  • MATH-G5-Q4-02

    perform three or more different operations with fractions and decimals by applying the GMDAS rules.

    Number and Algebra

  • MATH-G5-Q4-03

    illustrate different solid figures using concrete and pictorial models.

    Measurement and Geometry

  • MATH-G5-Q4-04

    relate plane figures to solid figures using concrete and pictorial models.

    Measurement and Geometry

  • MATH-G5-Q4-05

    describe and differentiate prisms and pyramids using their vertices, faces, and/or edges.

    Measurement and Geometry

  • MATH-G5-Q4-06

    illustrate and describe solid figures and their nets.

    Measurement and Geometry

  • MATH-G5-Q4-07

    make models of solid figures.

    Measurement and Geometry

  • MATH-G5-Q4-08

    illustrate and find the surface area of solid figures.

    Measurement and Geometry

  • MATH-G5-Q4-09

    solve problems involving the surface area of solid figures.

    Measurement and Geometry

  • MATH-G5-Q4-10

    describe and distinguish cubes and rectangular prisms.

    Measurement and Geometry

  • MATH-G5-Q4-11

    estimate the volume of a cube and of a rectangular prism using non-standard units of measurement.

    Measurement and Geometry

  • MATH-G5-Q4-12

    draw the image of an object after applying rotation about a point given an angle of rotation, clockwise or counterclockwise.

    Measurement and Geometry

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