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MATATAG curriculum

Grade 6 Mathematics

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

Quarter 1

Content standard

1. tessellation of shapes. 2. translation, reflection and rotation with shapes 1. the four operations with decimals. 2. the four operations with different combinations of fractions, whole numbers, and mixed numbers.

Performance standard

tessellate a surface using different shapes. perform the four operations with decimals. perform the four operations with different combinations of fractions, whole numbers, and mixed numbers.

Learning competencies (14)

  • MATH-G6-Q1-01

    explore whether or not a shape tessellates.

    Measurement and Geometry

  • MATH-G6-Q1-02

    tessellate a surface using different shapes, including triangles, squares, and rectangles.

    Measurement and Geometry

  • MATH-G6-Q1-03

    draw resulting images of shapes that undergo translation, reflection, rotation

    Measurement and Geometry

  • MATH-G6-Q1-04

    add and subtract decimals with decimal parts of up to 4 decimal places.

    Number and Algebra

  • MATH-G6-Q1-05

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

    Number and Algebra

  • MATH-G6-Q1-06

    mentally multiply decimals of up to 2 decimal places by 0.1, 0.01, 0.001, 10, 100, and 1000.

    Number and Algebra

  • MATH-G6-Q1-07

    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-G6-Q1-08

    divide:

    • a. 1- to 2-digit whole numbers resulting in a repeating (non-terminating) decimal quotient. (e. g., ⅓ = 0.3333 … ), and
    • b. a whole number by a decimal of 1 decimal place.

    Number and Algebra

  • MATH-G6-Q1-09

    mentally divide:

    • a. decimals of up to 4 decimal places by 0.1, 0.01, and 0.001, and
    • b. decimals of up to 2 decimal places by 10, 100, and 1000.

    Number and Algebra

  • MATH-G6-Q1-10

    solve problems involving division of decimals that may or may not involve the other operations with decimals and/or whole numbers.

    Number and Algebra

  • MATH-G6-Q1-11

    obtain products that result from multiplying different combinations of fractions, whole numbers, and mixed numbers.

    Number and Algebra

  • MATH-G6-Q1-12

    solve multi-step problems involving multiplication that may or may not involve addition or subtraction of different combinations of fractions, whole numbers, and mixed numbers.

    Number and Algebra

  • MATH-G6-Q1-13

    divide different combinations of fractions, whole numbers, and mixed numbers.

    Number and Algebra

  • MATH-G6-Q1-14

    solve multi-step problems involving division of different combinations of fractions, whole numbers, and mixed numbers that may or may not involve any of the other operations of fractions.

    Number and Algebra

Quarter 2

Content standard

1. ratio and proportion. 2. percentages, and their relationships with fractions and decimals. 3. exponential form, including calculation using the GEMDAS rules.

Performance standard

describe and apply the concepts of ratio and proportion. relate percentages to fractions and decimals. evaluate, and perform calculations with, numbers expressed in exponential form.

Learning competencies (12)

  • MATH-G6-Q2-01

    describe the relationship between quantities using ratio for:

    • a. part-whole relationships, and
    • b. part-part relationships.

    Number and Algebra

  • MATH-G6-Q2-02

    express one number as a fraction of another given their ratio, and vice versa.

    Number and Algebra

  • MATH-G6-Q2-03

    identify and write equivalent ratios.

    Number and Algebra

  • MATH-G6-Q2-04

    solve problems involving ratio.

    Number and Algebra

  • MATH-G6-Q2-05

    illustrate ratio and proportion in given situations using tables and/or the double number line model.

    Number and Algebra

  • MATH-G6-Q2-06

    find how many times one value is larger than another given their ratio, and vice versa.

    Number and Algebra

  • MATH-G6-Q2-07

    solve problems involving ratio and proportion.

    Number and Algebra

  • MATH-G6-Q2-08

    illustrate and explain the relationships between percentages, fractions, and decimals.

    Number and Algebra

  • MATH-G6-Q2-09

    identify and explain the uses of percentages.

    Number and Algebra

  • MATH-G6-Q2-10

    write numbers in exponential form e. g., 2 × 2 × 2 = 2³, and vice versa e.g., 2³ = 2 × 2 × 2.

    Number and Algebra

  • MATH-G6-Q2-11

    give the value of numbers expressed in exponential form.

    Number and Algebra

  • MATH-G6-Q2-12

    perform calculations involving numbers in exponential form by applying the GEMDAS rules.

    Number and Algebra

Quarter 3

Content standard

1. units of volume and capacity. 2. volume of cubes and rectangular prisms. 3. perimeter and area of triangles, parallelograms, trapezoids, and composite figures composed of triangles, squares, and rectangles. 4. parts of a circle, including circumference.

Performance standard

convert between units of volume and capacity. find the volume of cubes and rectangular prisms. find the perimeter and area of triangles, parallelograms, trapezoids, and composite figures composed of triangles, squares, and rectangles. describe the parts of a circle. use pi (𝜋) to calculate the circumference of a circle.

Learning competencies (13)

  • MATH-G6-Q3-01

    determine appropriate units for measuring volume and capacity.

    Measurement and Geometry

  • MATH-G6-Q3-02

    convert cu. cm to L, and vice versa.

    Measurement and Geometry

  • MATH-G6-Q3-03

    find the volume of a cube and of a rectangular prism using standard units of measurement.

    Measurement and Geometry

  • MATH-G6-Q3-04

    solve problems involving volumes of cubes and rectangular prisms.

    Measurement and Geometry

  • MATH-G6-Q3-05

    solve problems involving capacity.

    Measurement and Geometry

  • MATH-G6-Q3-06

    convert sq. cm to sq. m, and vice versa.

    Measurement and Geometry

  • MATH-G6-Q3-07

    find the area, in sq. m or sq. cm, of composite figures composed of triangles, squares, and rectangles.

    Measurement and Geometry

  • MATH-G6-Q3-08

    solve problems involving the perimeter and area of triangles, parallelograms, trapezoids, and composite figures composed of triangles, squares, and rectangles.

    Measurement and Geometry

  • MATH-G6-Q3-09

    draw circles with different radii using a pair of compasses.

    Measurement and Geometry

  • MATH-G6-Q3-10

    identify and describes the parts of a circle.

    Measurement and Geometry

  • MATH-G6-Q3-11

    measure the circumference of circles using appropriate tools.

    Measurement and Geometry

  • MATH-G6-Q3-12

    approximate the value of pi (𝜋) (the ratio of circumference to diameter).

    Measurement and Geometry

  • MATH-G6-Q3-13

    find the circumference of a circle using 𝐶 = 𝜋𝑑 or 𝐶 = 2𝜋𝑟.

    Measurement and Geometry

Quarter 4

Content standard

1. area of a circle 2. composite figures composed of any two or more of: triangle, square, rectangle, circle, semi-circle. 3. pie graphs. 4. common factors, greatest common factors, common multiples, and least common multiples.

Performance standard

find the area of a circle. find the area of composite figures composed of any two or more of: triangle, square, rectangle, circle, semi-circle. construct and interpret pie graphs. find common factors, greatest common factors, common multiples, and least common multiples.

Learning competencies (13)

  • MATH-G6-Q4-01

    explore inductively the area of a circle leading to the formula 𝐴 = 𝜋𝑟².

    Measurement and Geometry

  • MATH-G6-Q4-02

    find the area of a circle using the formula.

    Measurement and Geometry

  • MATH-G6-Q4-03

    find the area of composite figures composed of any two or more of the following: triangle, square, rectangle, circle, and semicircle.

    Measurement and Geometry

  • MATH-G6-Q4-04

    solve problems involving circumference and area of circles, and composite figures.

    Measurement and Geometry

  • MATH-G6-Q4-05

    find the angle measures and/or percentages based on the given data for a pie graph.

    Data and Probability

  • MATH-G6-Q4-06

    construct a pie graph using appropriate tools.

    Data and Probability

  • MATH-G6-Q4-07

    interpret data presented in a pie graph.

    Data and Probability

  • MATH-G6-Q4-08

    interpret data from digital media that are presented in tabular or graphical form.

    Data and Probability

  • MATH-G6-Q4-09

    draw conclusions or make inferences based on data presented in a pie graph.

    Data and Probability

  • MATH-G6-Q4-10

    solve problems using data presented in a pie graph.

    Data and Probability

  • MATH-G6-Q4-11

    determine the common factors and the greatest common factor (GCF) of two numbers using the following methods: listing, prime factorization, and continuous division.

    Number and Algebra

  • MATH-G6-Q4-12

    find the common multiples and least common multiple (LCM) of two numbers using the following methods: listing, prime factorization, and continuous division.

    Number and Algebra

  • MATH-G6-Q4-13

    solve problems involving GCF and LCM.

    Number and Algebra

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