STANDARD COMPETENCIES:

 

 I.      Solve problems involving probability

         A.      Determine the probability of outcomes of single and multi-stage experiments

         B.      Determine the probability of an event involving conditional probability

         C.      Determine the odds in favor of an event

 II.     Solve problems involving elementary statistical concepts

         A.      Interpret and draw a variety of statistical graphs

         B.      Determine the central tendencies and measures of variation for a collection of data

         C.      Recognize abuses of statistics

 III.    Solve problems involving elementary geometrical concepts

         A.      Apply the concepts of point, line, and plane

         B.      Apply the concepts of parallel lines, perpendicular lines, and skewed lines

         C.      Distinguish between different types of curves

         D.      Solve problems involving angle measurement

         E.      Identify and draw 3-dimensional geometrical shapes

 IV.     Solve problems involving the concepts of congruence and similarity

         A.      Apply the concept of congruent triangles to constructions

         B.      Construct parallel lines, perpendicular bisectors, and angle bisectors

         C.      Inscribe a regular polygon in a circle

         D.      Solve problems involving similar triangles.

 V.      Solve problems involving applications of motion geometry and tessellations

         A.      Find the image of geometrical shapes under various translations and rotations

         B.      Find the image of geometrical shapes under various reflections, glide reflections, and size transformations given a scale factor

         C.      Determine types of symmetries for various geometric shapes

         D.      Tessellate a plane

 TOPICAL OUTLINE:

 

 I.      Solve problems involving probability.

 II.     Solve problems involving elementary statistical concepts.

 III.    Solve problems involving the concepts of congruence and similarity. Solve problems involving the use of the metric system.

 IV.     Solve problems involving applications of motion geometry and tessellation.