K to 12 BASIC EDUCATION CURRICULUM SENIOR HIGH SCHOOL – CORE SUBJECT K to 12 Senior High School Core Curriculum – General Mathematics December 2013 Page 1 of 5 Grade: 11 Semester: First Semester Core Subject Title: General Mathematics No. of Hours/Semester: 80 hours/semester Prerequisite (if needed): Core Subject Description: At the end of the course, the students must know how to solve problems involving rational, exponential and logarithmic functions; to solve business-related problems; and to apply logic to real-life situations. CONTENT CONTENT STANDARDS PERFORMANCE STANDARDS LEARNING COMPETENCIES CODE Functions and Their Graphs The learner demonstrates understanding of... 1. key concepts of functions. The learner is able to... 1. accurately construct mathematical models to represent real-life situations using functions. The learner... 1. represents real-life situations using functions, including piece-wise functions. M11GM-Ia-1 2. evaluates a function. M11GM-Ia-2 3. performs addition, subtraction, multiplication, division, and composition of functions M11GM-Ia-3 4. solves problems involving functions. M11GM-Ia-4 2. key concepts of rational functions. 2. accurately formulate and solve real-life problems involving rational functions. 5. represents real-life situations using rational functions. M11GM-Ib-1 6. distinguishes rational function, rational equation, and rational inequality. M11GM-Ib-2 7. solves rational equations and inequalities. M11GM-Ib-3 8. represents a rational function through its: (a) table of values, (b) graph, and (c) equation. M11GM-Ib-4 9. finds the domain and range of a rational function. M11GM-Ib-5 10. determines the: (a) intercepts (b) zeroes; and (c) asymptotes of rational functions M11GM-Ic-1 11. graphs rational functions. M11GM-Ic-2 12. solves problems involving rational functions, equations, and inequalities. M11GM-Ic-3