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MATATAG curriculum

Grade 8 Mathematics

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

Quarter 1

Content standard

1. measures of central tendency of ungrouped data. 2. algebraic expressions and operations with monomials, binomials, and multinomials. 3, special products for binomials, and factorization of polynomials. 4. rational algebraic expressions and equations. 5. rules for obtaining terms in sequences.

Performance standard

determine measures of central tendency of ungrouped data and use the measures to draw conclusions. add and subtract monomials, and multiply combinations of monomials, binomials, and multinomials. obtain special binomial products. factorize different types of polynomials. simplify, and operate with, rational algebraic expressions and solve simple rational algebraic equations. obtain the rule for finding the next term in a sequence.

Learning competencies (13)

  • MATH-G8-Q1-01

    determine measures of central tendency of ungrouped data.

    Data and Probability

  • MATH-G8-Q1-02

    draw conclusions from statistical data using the measures of central tendency.

    Data and Probability

  • MATH-G8-Q1-03

    model real-life situations using algebraic expressions.

    Number and Algebra

  • MATH-G8-Q1-04

    add and subtract simple monomials.

    Number and Algebra

  • MATH-G8-Q1-05

    multiply and divide simple monomials, leading to the derivation of the laws of exponents.

    Number and Algebra

  • MATH-G8-Q1-06

    multiply simple monomials and binomials with simple binomials and multinomials, using the distributive property with various techniques and models.

    Number and Algebra

  • MATH-G8-Q1-07

    use special product patterns to multiply binomials.

    Number and Algebra

  • MATH-G8-Q1-08

    completely factor different types of polynomials (polynomials with common monomial factor; difference of two squares; quadratic trinomials, including perfect square trinomials).

    Number and Algebra

  • MATH-G8-Q1-09

    solve problems involving special products and factors of polynomials.

    Number and Algebra

  • MATH-G8-Q1-10

    simplify rational algebraic expressions.

    Number and Algebra

  • MATH-G8-Q1-11

    perform operations on rational algebraic expressions.

    Number and Algebra

  • MATH-G8-Q1-12

    solve problems involving simple rational algebraic equations (using cross-multiplication).

    Number and Algebra

  • MATH-G8-Q1-13

    formulate the rule for finding the next term in a sequence by looking for patterns.

    Number and Algebra

Quarter 2

Content standard

1. plotting points, and finding distance and the midpoint of line segments on the Cartesian coordinate plane. 2. volume of pyramids (other than square and rectangular pyramids), cones, and spheres. 3. the Pythagorean Theorem. 4. triangle inequality theorems. 5. earning money, profit and loss, ‘best buys’, buying on terms.

Performance standard

plot points, find the distance between two points, and find the midpoint of line segments, on the Cartesian coordinate plane. finds the volume of pyramids other than square and rectangular pyramids, and the volumes of cones and spheres. use the Pythagorean theorem to find sides in right triangles and its converse to classify triangles. use the triangle inequality theorems to establish results for angles and sides in triangles. solve financial problems involving earning money, profit and loss, “best buys,” and buying on terms.

Learning competencies (12)

  • MATH-G8-Q2-01

    illustrate and describe the Cartesian coordinate plane.

    Number and Algebra

  • MATH-G8-Q2-02

    plot points on the Cartesian coordinate plane and determine the coordinates of a point on the plane.

    Number and Algebra

  • MATH-G8-Q2-03

    solve problems involving distance between two points and midpoint of a line segment on the Cartesian coordinate plane.

    Number and Algebra

  • MATH-G8-Q2-04

    explore inductively the volume of pyramids other than square and rectangular pyramids.

    Measurement and Geometry

  • MATH-G8-Q2-05

    find the volume of pyramids other than square and rectangular pyramids.

    Measurement and Geometry

  • MATH-G8-Q2-06

    solve problems involving volume of pyramids.

    Measurement and Geometry

  • MATH-G8-Q2-07

    explore inductively the volumes of cones and spheres, leading to their formulas.

    Measurement and Geometry

  • MATH-G8-Q2-08

    find the volumes of cones and spheres.

    Measurement and Geometry

  • MATH-G8-Q2-09

    solve problems involving the volume of cones and spheres.

    Measurement and Geometry

  • MATH-G8-Q2-10

    apply the Pythagorean Theorem in finding the missing side of a right triangle, and its converse in classifying triangles.

    Measurement and Geometry

  • MATH-G8-Q2-11

    apply the triangle inequality theorems to establish results for angles and sides in triangles.

    Measurement and Geometry

  • MATH-G8-Q2-12

    solve financial problems involving:

    • a. earning money,
    • b. profit and loss,
    • c. buying amounts of products that represent the best value (‘best buys’), and
    • d. buying on terms (‘instalment plan’).

    Number and Algebra

Quarter 3

Content standard

1. linear equations in one variable. 2. linear inequalities in one variable and their graphs. 3. linear equations in two variables and their graphs. 4. systems of linear equations in two variables. 5. linear inequalities in two variables.

Performance standard

solve linear equations and linear inequalities in one variable. graph linear inequalities in one variable. graph linear equations in two variables. solve a system of linear equations graphically and algebraically. use linear inequalities in two variables in the solution of problems.

Learning competencies (15)

  • MATH-G8-Q3-01

    solve linear equations in one variable.

    Number and Algebra

  • MATH-G8-Q3-02

    solve problems (e.g., number problems, geometry problems, and money problems) involving linear equations in one variable.

    Number and Algebra

  • MATH-G8-Q3-03

    solve linear inequalities in one variable.

    Number and Algebra

  • MATH-G8-Q3-04

    graph on a number line the solution of linear inequalities in one variable.

    Number and Algebra

  • MATH-G8-Q3-05

    solve problems involving linear inequalities in one variable.

    Number and Algebra

  • MATH-G8-Q3-06

    describe a linear equation in two variables and express its solution using ordered pairs.

    Number and Algebra

  • MATH-G8-Q3-07

    define and determine the slope and intercepts of a line.

    Number and Algebra

  • MATH-G8-Q3-08

    find the equation of a line given:

    • a. two points,
    • b. the slope and a point,
    • c. the slope and y-intercept, and
    • d. the x– and y– intercepts.

    Number and Algebra

  • MATH-G8-Q3-09

    sketch the graph (straight line) of a linear equation given:

    • a. any two points on the line,
    • b. the x– and y– intercepts, and
    • c. the slope and a point on the line.

    Number and Algebra

  • MATH-G8-Q3-10

    define and illustrate a system of linear equations in two variables.

    Number and Algebra

  • MATH-G8-Q3-11

    solve a system of linear equations (with integer solutions) by graphing.

    Number and Algebra

  • MATH-G8-Q3-12

    classify the types of systems of linear equations based on the number of solutions.

    Number and Algebra

  • MATH-G8-Q3-13

    solve algebraically a system of linear equations in two variables.

    Number and Algebra

  • MATH-G8-Q3-14

    solve problems involving systems of linear equations in two variables.

    Number and Algebra

  • MATH-G8-Q3-15

    recognize and solve problems involving linear inequalities in two variables.

    Number and Algebra

Quarter 4

Content standard

1. measures of variability for ungrouped data. 2. interpretation and analysis of graphs from primary and secondary data. 3. experimental and theoretical probability. 4. the Fundamental Counting Principle.

Performance standard

calculate measures of variability for ungrouped data. interpret and analyze graphs from primary and secondary data. determine the number of possible outcomes of an experiment using the Fundamental Counting Principle. calculate the probability of a single event and the probability of simple combined events.

Learning competencies (11)

  • MATH-G8-Q4-01

    calculate the measures of variability (range, mean deviation, and standard deviation) for ungrouped data.

    Data and Probability

  • MATH-G8-Q4-02

    draw conclusions from statistical data using the measures of variability.

    Data and Probability

  • MATH-G8-Q4-03

    investigate, interpret, and analyze graphs from primary data (e.g., examination scores).

    Data and Probability

  • MATH-G8-Q4-04

    investigate, interpret, and analyze graphs from secondary data.

    Data and Probability

  • MATH-G8-Q4-05

    differentiate theoretical from experimental probability by conducting an experiment or an investigation.

    Data and Probability

  • MATH-G8-Q4-06

    describe the sample space of an experiment.

    Data and Probability

  • MATH-G8-Q4-07

    use the Fundamental Counting Principle to determine the number of possible outcomes of an experiment.

    Data and Probability

  • MATH-G8-Q4-08

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

    Data and Probability

  • MATH-G8-Q4-09

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

    Data and Probability

  • MATH-G8-Q4-10

    calculate the probability of simple combined events by listing, or by possibility diagrams or tree diagrams.

    Data and Probability

  • MATH-G8-Q4-11

    solve problems involving experimental probability and/or theoretical probability using the Fundamental Counting Principle.

    Data and Probability

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