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          Quarter     Content Standards     Performance Standards                          Most Essential Learning competencies                          Duration

                         The learner…            The learner…                                          The learner…
                     variables, systems of  inequalities in two       solves problems involving linear inequalities in two variables.
                     linear inequalities in   variables, systems of   solves problems involving systems of linear inequalities in two variables.         Week 2
                     two variables and     linear inequalities in two   illustrates a relation and a function.                                           Week 3
                     linear functions.     variables, and linear      verifies if a given relation is a function.
                                           functions.                 determines dependent and independent variables.
                                                                      finds the domain and range of a function.                                          Week 4

                                                                      graphs and illustrates a linear function and its (a) domain; (b) range; (c) table of
                                                                      values; (d) intercepts; and (e) slope.
                                                                      solves problems involving linear functions.                                        Week 5
                     demonstrates          is able to communicate     determines the relationship between the hypothesis and the conclusion of an if-    Week 6
                     understanding of      mathematical thinking      then statement.
                     key concepts of logic  with coherence and        transforms a statement into an equivalent if-then statement.
                     and reasoning.        clarity in formulating and  determines the inverse, converse, and contrapositive of an if-then statement.     Week 7
                                           analyzing arguments.       illustrates the equivalences of: (a)  the statement and its  contrapositive; and (b)   Week 8
                                                                      the converse and inverse of a statement.
                                                                      uses inductive or deductive reasoning in an argument.                              Week 9
                                                                      writes a proof (both direct and indirect).
             Q3      demonstrates          1. is able to formulate an  describes a mathematical system.                                                 Week 1 to
                     understanding of      organized plan to handle  illustrates the need for an axiomatic structure of a mathematical system in general,    2
                     key concepts of       a real-life situation.     and in Geometry in particular: (a) defined terms; (b) undefined terms; (c)
                     axiomatic structure   2. is able to              postulates; and (d) theorems.
                     of geometry and       communicate                illustrates triangle congruence.                                                  Week 3 to
                     triangle congruence.   mathematical thinking     illustrates the SAS, ASA and SSS congruence postulates.                                4
                                           with coherence and         solves corresponding parts of congruent triangles                                  Week 5
                                           clarity in formulating,    proves two triangles are congruent.                                                Week 6
                                           investigating, analyzing,   proves statements on triangle congruence.                                         Week 7
                                           and solving real-life                                                                                        Week 8 to
                                           problems involving                                                                                                9
                                           congruent triangles using  applies triangle congruence to construct perpendicular lines  and angle bisectors.
                                           appropriate and accurate
                                           representations.
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