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          Quarter     Content Standards     Performance Standards                          Most Essential Learning competencies                          Duration

                         The learner…            The learner…                                          The learner…
             Q4      demonstrates          is able to communicate     illustrates  theorems on triangle inequalities (Exterior Angle Inequality Theorem,   Week 1
                     understanding of      mathematical thinking      Triangle Inequality Theorem, Hinge Theorem).
                     key concepts of       with coherence and         applies theorems on triangle inequalities.                                         Week 2
                     inequalities in a     clarity in formulating,    proves inequalities in a triangle.                                                 Week 3
                     triangle, and parallel  investigating, analyzing,   proves properties of parallel lines cut by a transversal.                       Week 4
                     and perpendicular     and solving real-life                                                                                         Week 5
                     lines.                problems involving
                                           triangle inequalities, and
                                           parallelism and            determines the conditions under which lines and segments are parallel or
                                           perpendicularity of lines   perpendicular.
                                           using appropriate and
                                           accurate
                                           representations.
                     demonstrates          is able to formulate and   illustrates an experiment, outcome, sample space and event.                        Week 6
                     understanding of      solve practical problems   counts the number of occurrences of an outcome in an experiment: (a) table; (b)    Week 7
                     key concepts of       involving probability of   tree diagram; (c) systematic listing; and (d) fundamental counting principle.
                     probability.          simple events.             finds the probability of a simple event.                                           Week 8
                                                                      illustrates an experimental probability and a theoretical probability.             Week 9

                                                                      solves problems involving probabilities of simple events.

        Grade Level:  Grade 9
        Subject:       Mathematics

          Quarter     Content Standards     Performance Standards                          Most Essential Learning competencies                          Duration

                        The learner…             The learner…                                          The learner…
            Q1      demonstrates           is able to investigate     illustrates quadratic equations.                                                   Week 1
                    understanding of key  thoroughly mathematical  solves quadratic equations by: (a) extracting square roots; (b) factoring; (c)
                    concepts of            relationships in various   completing the square; and (d) using the quadratic formula.
                    quadratic equations,   situations, formulate      characterizes the roots of a quadratic equation using the discriminant.
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