Grade 7 Mathematics

Content standard

1. regular and irregular polygons and their features/properties. 2. determination of measures of angles and number of sides of polygons. 3. application of percentages. 4. use of rates. 5. rational numbers.

Performance standard

draw, and describe the features/properties of, regular and irregular polygons. use percentages in different contexts. identify and use rates. create a financial plan. describe, order, and perform operations on, rational numbers.

Learning competencies (14)

• MATH-G7-Q1-01

  draw and describe regular and irregular polygons with 5, 6, 8, or 10 sides, based on measurements of sides and angles, using a ruler and protractor.

  Measurement and Geometry

• MATH-G7-Q1-02

  draw triangles, quadrilaterals, and regular polygons (5, 6, 8, or 10 sides) with given angle measures.

  Measurement and Geometry

• MATH-G7-Q1-03

  describe and explain the relationships between angle pairs based on their measures.

  Measurement and Geometry

• MATH-G7-Q1-04

  classify polygons according to the number of sides, whether they are regular or irregular, and whether they are convex or non-convex.

  Measurement and Geometry

• MATH-G7-Q1-05

  deduce the relationship between the exterior angle and adjacent interior angle of a polygon.

  Measurement and Geometry

• MATH-G7-Q1-06

  determine the measures of angles and the number of sides of polygons.

  Measurement and Geometry

• MATH-G7-Q1-07

  solve problems involving:

  • a. percentage increase, and
  • b. percentage decrease.

  Number and Algebra

• MATH-G7-Q1-08

  solve money problems involving percentages (e. g., discount, commission, sales tax, simple interest).

  Number and Algebra

• MATH-G7-Q1-09

  create a financial plan.

  Number and Algebra

• MATH-G7-Q1-10

  identify and explain the uses of rates.

  Number and Algebra

• MATH-G7-Q1-11

  solve problems involving rates (e.g., speed).

  Number and Algebra

• MATH-G7-Q1-12

  describe given rational numbers as fractions, decimals, or percentages.

  Number and Algebra

• MATH-G7-Q1-13

  order rational numbers on a number line.

  Number and Algebra

• MATH-G7-Q1-14

  perform operations on rational numbers.

  Number and Algebra

Content standard

1. square roots of perfect squares, cube roots of perfect cubes, and irrational numbers. 2. conversion of units of measure. 3. volume of square and rectangular pyramids, and cylinders. 4. sets and subsets, and the union and intersection of sets using Venn diagrams 5. subset of real numbers.

Performance standard

determine square roots of perfect squares and cube roots of perfect cubes, and identify irrational numbers. convert units of measure from different systems of measure. find the volume of square and rectangular pyramids, and the volume of cylinders. describe sets and their subsets, and the union and intersection of sets. illustrates sets and subsets, and union and intersection of sets, using Venn diagrams.

Learning competencies (12)

• MATH-G7-Q2-01

  determine the square roots of perfect squares and the cube roots of perfect cubes.

  Number and Algebra

• MATH-G7-Q2-02

  identify irrational numbers involving square roots and cube roots, and their locations on the number line.

  Number and Algebra

• MATH-G7-Q2-03

  convert units of measure within the International System of Units (SI) and across different systems of measure.

  Measurement and Geometry

• MATH-G7-Q2-04

  explain inductively the volume of a cylinder using the area of a circle, leading to the identification of the formula.

  Measurement and Geometry

• MATH-G7-Q2-05

  find the volume of a cylinder.

  Measurement and Geometry

• MATH-G7-Q2-06

  solve problems involving the volumes of cylinders.

  Measurement and Geometry

• MATH-G7-Q2-07

  explore inductively the volume of square and rectangular pyramids using rectangular prisms, leading to the identification of the formula.

  Measurement and Geometry

• MATH-G7-Q2-08

  estimate volumes of square and rectangular pyramids.

  Measurement and Geometry

• MATH-G7-Q2-09

  solve problems involving volumes of square or rectangular pyramids.

  Measurement and Geometry

• MATH-G7-Q2-10

  describe sets and their subsets, the union of sets, and the intersection of sets

  Number and Algebra

• MATH-G7-Q2-11

  illustrate sets and their subsets, the union of sets, and the intersection of sets, through the use of Venn diagrams.

  Number and Algebra

• MATH-G7-Q2-12

  illustrate the different subsets of real numbers.

  Number and Algebra

Content standard

1. data collection and sampling techniques, and the presentation of data in appropriate tables and graphs. 2. interpretation of statistical graphs. 3. the set of integers, and comparing and ordering integers. 4. the four operations with integers. 5. simplification of numerical expressions involving integers. 6. absolute value of an integer.

Performance standard

collect data, and organize data in a frequency distribution table. represent and interpret data in different types of graphs. compare and order integers, including through the use of the number line. perform the four operations with integers. simplify numerical expressions involving integers. identify the absolute value of an integer.

Learning competencies (12)

• MATH-G7-Q3-01

  investigate different data collection and sampling techniques.

  Data and Probability

• MATH-G7-Q3-02

  organize statistical data in a frequency distribution table.

  Data and Probability

• MATH-G7-Q3-03

  use appropriate graphs to represent organized data: pie graph, bar graph, line graph, and stem-and-leaf plot.

  Data and Probability

• MATH-G7-Q3-04

  interpret statistical graphs.

  Data and Probability

• MATH-G7-Q3-05

  describe the set of integers.

  Number and Algebra

• MATH-G7-Q3-06

  use positive and negative numbers to describe directions or opposites in real-life situations.

  Number and Algebra

• MATH-G7-Q3-07

  locate integers on the number line.

  Number and Algebra

• MATH-G7-Q3-08

  compare and order integers.

  Number and Algebra

• MATH-G7-Q3-09

  add and subtract integers; using concrete models (e.g., counters, integer chips), pictorial models (e.g., bar models, number lines), and with integers written as numerals.

  Number and Algebra

• MATH-G7-Q3-10

  multiply and divide integers.

  Number and Algebra

• MATH-G7-Q3-11

  simplify numerical expressions involving integers using number properties and the order of operations (GEMDAS).

  Number and Algebra

• MATH-G7-Q3-12

  identify the absolute value of an integer, and its meaning on the number line.

  Number and Algebra

Content standard

1. the solution of simple equations. 2. the evaluation of algebraic expressions following substitution. 3. the rearrangement of a formula to make a different variable the subject of the formula. 4. outcomes from experiments. 5. operations using scientific notation.

Performance standard

solve simple equations. substitute into an algebraic expression to evaluate the expression. rearrange a formula to make a different variable the subject of the formula. gather data from experiments and represent the data in different forms. write numbers in scientific notation and perform operations on numbers written in scientific notation.

Learning competencies (14)

• MATH-G7-Q4-01

  solve simple equations represented by bar models to find unknowns.

  Number and Algebra

• MATH-G7-Q4-02

  distinguish a variable from a constant in an algebraic expression.

  Number and Algebra

• MATH-G7-Q4-03

  evaluate algebraic expressions given the value/s of the variable/s.

  Number and Algebra

• MATH-G7-Q4-04

  translate verbal phrases into algebraic expressions.

  Number and Algebra

• MATH-G7-Q4-05

  illustrate the properties of equality.

  Number and Algebra

• MATH-G7-Q4-06

  solve one variable in terms of the other variables in a formula.

  Number and Algebra

• MATH-G7-Q4-07

  write equations in algebraic form.

  Number and Algebra

• MATH-G7-Q4-08

  find the value of an unknown in an equation where the unknown is non-negative.

  Number and Algebra

• MATH-G7-Q4-09

  solve problems involving algebraic expressions and formulas

  Number and Algebra

• MATH-G7-Q4-10

  collect data from experiments (e.g., number of heads obtained when tossing a coin, a number of times, number of prime numbers obtained when rolling a die a number of times).

  Data and Probability

• MATH-G7-Q4-11

  express outcomes in words and/or symbols, and represents outcomes in tables and/or graphs.

  Data and Probability

• MATH-G7-Q4-12

  solve problems using the outcomes of experiments.

  Data and Probability

• MATH-G7-Q4-13

  write numbers in scientific notation to represent very large or very small numbers, and vice versa.

  Number and Algebra

• MATH-G7-Q4-14

  perform operations on numbers expressed in scientific notation.

  Number and Algebra