LIST OF LEARNING COMPETENCIES ( Reference: Grade 7 Curriculum Guide)
Mathematics Grade 7 Level First Grading Period The learner… 1.
3.
descri describes bes and and illus illustra trates tes well well-de -defin fined ed sets, sets, subse subsets, ts, univ univers ersal al set set and the the null set. define definess and descri describes bes the the unio union n and and inter intersec sectio tion n of sets sets and the complement of a set. uses uses Venn Venn Diag Diagrams rams to repr represe esent nt sets sets,, subse subsets ts and and set set opera operatio tions. ns.
4.
solv solves es prob proble lems ms invo involv lvin ing g set sets. s.
5.
descri describes bes and and illu illustr strate atess the abso absolut lutee value value of a numb number er on a number number line line as as
2.
the distance of the number from 0. 6.
perfor performs ms fundam fundament ental al opera operatio tions ns on inte integer gers: s: additi addition, on, subt subtrac ractio tion, n, multiplication, division.
7.
states states and and illus illustra trates tes the the differe different nt proper propertie tiess of the ope operat ration ionss on intege integers rs (commutative, associative, distributive, identity, inverse).
8.
define definess and illus illustra trates tes rati rationa onall number numberss and arran arrange ge them them on a numb number er line. line.
9.
expres expresses ses ration rational al numbe numbers rs termin terminati ating ng and repeat repeating ing and nonnonterminating) from fraction form to decimal form and vice versa.
10. performs performs operations operations on ratio rational nal numbers numbers and illustrat illustratee their propert properties. ies. 11. describes describes principal principal roots roots and tells tells whethe whetherr they are rational rational or or irrational. irrational. 12. determines determines between between what two two integers integers the the square square root of a number number is. 13. estimates estimates the the square square root root of a number number to the the nearest nearest tenth. tenth. 14. illustrate illustratess and graphs graphs irration irrational al numbers numbers (square (square roots) roots) on a number number line line with and without appropriate technology. 15. describes, describes, represe represents nts and compare comparess the differen differentt subsets subsets of real real numbers. numbers. 16. finds the the union, union, intersec intersection tion and and complemen complementt of the set set of real real numbers numbers and its subsets. 17. arranges arranges real real numbers numbers in in increasi increasing ng or decreasing decreasing order. order. 18. determines determines the the signific significant ant digits digits in in a given given situatio situation. n. 19. writes writes very large or very very small small numbers numbers in scientific scientific notation. notation. 20. describes describes and represent representss real-life real-life situations situations which which involve involve integers, integers, rationa rationall numbers, square roots of a rational numbers and irrational numbers. 21. solves solves prob problem lemss involv involving ing real real numbe numbers. rs. garci/math grade8.quarter grade8.quarter 1.doc/2013
LIST OF LEARNING COMPETENCIES ( Reference: Grade 7 Curriculum Guide)
Mathematics Grade 7 Level Second Grading Period The learner… 1.
describes what it means to measure.
2.
7.
describes the development of measurement from the primitive to the present international system of units. estimates or approximates the measures of quantities particularly length, weight/mass, volume, time, angle and temperature. uses appropriate instruments to measure quantities such as length, weight/mass, volume, time, angle and temperature. converts measurements from one unit to another for each type of measurement including the English system. solves problems involving measurements such as perimeter, area, weight, time, speed, temperature, volume/capacity and utilities usage (meter reading). translates verbal phrases to mathematical phrases and vice-versa.
8.
differentiates between constants and variables in a given algebraic
3. 4. 5. 6.
expression. 9.
evaluates algebraic expressions for given values of the variables.
10. gives examples of polynomials, monomial, binomial, trinomial. 11. identifies the base, coefficient, terms and exponents in a given polynomial. 12. defines and interprets the meaning of an where n is a positive integer. 13. derives inductively the laws of exponents (Exponents restricted to positive integers). 14. illustrates the laws of exponents. 15. adds and subtracts polynomials. 16. multiplies and divides polynomials. 17. finds inductively using models the (a) product of two binomials; (b) product of a sum and difference of two terms; (c) square of a binomial; (d) cube of a binomial; (e) product of a binomial and a trinomial. 18. finds algebraically the (a) product of two binomials; (b) product of a sum and difference of two terms; (c) square of a binomial; (d) cube of a binomial; (e) product of a binomial and a trinomial.
garci/math grade8.quarter 2.doc/2013
LIST OF LEARNING COMPETENCIES ( Reference: Grade 7 Curriculum Guide) Mathematics Grade 7 Level
Third Grading Period The learner… 1. 2.
differentiates between mathematical expressions and mathematical equations. translates English sentences to mathematical sentences and vice versa.
3.
differentiates between equations and inequalities.
4.
defines and illustrates the meaning of absolute value.
5.
finds the solution of an equation or inequality involving one variable, including one that involves absolute value (a) from a given replacement; (b) intuitively by guess and check; (c) by algebraic procedures (applying the properties of equalities and inequalities); (d) graphing.
6.
solves problems that use equations and inequalities.
7.
represents a point, line and plane using concrete and pictorial models.
8.
defines, identifies and names the subsets of a line.
9.
illustrates, names, identifies and defines the different kinds of angles.
10. derives relationships of geometric figures using measurements and by inductive reasoning: supplementary angles, complementary angles, equal angles, adjacent angles, linear pairs, perpendicular lines and parallel lines. 11. derives relationships between vertical angles and among angles formed by parallel lines cut by a transversal using measurement and by inductive reasoning. 12. uses a compass and straightedge to bisect line segments and angles and construct perpendiculars and parallels. 13. classifies triangles according to their angles and according to their sides. 14. illustrates, names and identifies different kinds of triangles and define the terms associated with a triangle. 15. derives relationships among the sides and angles of a triangle using measurement and inductive reasoning. 16. illustrates, names and identifies the different kinds of quadrilaterals. 17. derives relationships among the angles and among the sides of a quadrilateral using measurement and inductive reasoning.
garci/math grade8.quarter 3.doc/2013
LIST OF LEARNING COMPETENCIES ( Reference: Grade 7 Curriculum Guide)
Mathematics Grade 7 Level Fourth Grading Period The learner… 1.
defines and illustrates convex polygons.
2.
derives the relationship of exterior and interior angles of any convex polygon using measurement and inductive reasoning.
3.
illustrates a circle and defines the terms related to it: radius, diameter, center, arc and central angle.
4.
explains the basic concepts, uses and importance of Statistics.
5.
poses questions and problems that may be answered using Statistics.
6.
collects or gathers statistical data and organizes the data in a frequency table according to some systematic considerations.
7.
uses appropriate graphs to represent organized data: pie chart, bar graph, line graph and a histogram.
8.
finds the mean, median and mode of statistical data.
9.
describes the data using information from the mean, median and mode.
10. analyzes, interprets accurately and draws conclusions from graphic and tabular presentations of statistical data.
garci/math grade8.quarter 4.doc/2013
