STANDARD COMPETENCIES:

 

 1.   Investigate numerical and geometric patterns and express them mathematically.

 2.   Generalize from specific patterns to more abstract principles.

 3.   Apply abstract patterns to specific situations.

 4.   Solve problems requiring the use of relevant knowledge by means of numerical and graphical strategies.

 5.   Select and develop plans, make decisions, evaluate and communicate the results.

 6.   Solve problems using algebraic thinking skills.

 7.   Investigate the concepts of logic.

 8.   Apply logical reasoning to everyday situations.

 9.    Write formal or informal proofs using truth tables.

 10. Post logical arguments and find the fallacies in illogical arguments.

 11. Solve problems using set theory.

 12. Utilize number theory to examine and solve problems involving real numbers as well as different numeration systems..

 13. Represent and analyze relations and functions, using words, tables, equations, and graphs, generalizing from detailed to broad and vice versa.

 TOPICAL OUTLINE:

 

 I.      Numerical and Geometric Patterns

 II.     Problem solving

 III.    Algebraic reasoning

 IV.     The concepts of logic

 V.      Set Theory

 VI.     Number Theory

 VII.    Relations and functions