Ateneo de Zamboanga UniversitySENIOR HIGH SCHOOL UNITFr. Eusebio Salvador, S.J.Campus, La Purisima St., Zamboanga CityCourse Outline for General MathematicsS.Y. 2016-2017Course Code: MAT G111Contact Hours/Week: 3 HOURSCourse Title: General mathematicsPrerequisites:Course Description: This subject is designed to introduce students to problems involving rational, exponential and logarithmic functions; to solve business- related problems; and to apply logic to real-life situations.Course Outcomes (Content and Performance Standards): The learner can:1.accurately construct mathematical models to represent real-life situations using functions.2.accurately formulate and solve real-life problems involving rational functions.3.apply the concepts of inverse functions, exponential functions, and logarithmic functions to formulate and solve real-life problems with precision and accuracy.4.investigate, analyze and solve problems involving simple and compound interests and simple and general annuities using appropriate business and financial instruments.5.use appropriate financial instruments involving stocks and bonds in formulating conclusions and making decisions.6.decide wisely on the appropriateness of business or consumer loan and its proper utilization.7.judiciously apply logic in real-life arguments.8.appropriately apply a method of proof and disproof in real-life situations.TimeLearning ContentLearning OutcomesReferences
FrameCompetenciesAt the end of the week, the students CAN …Success IndicatorsBY …Week 1Functions and Their Graphs: 1. key concepts of functions.1.Represent real-life situations using functions, including piece-wise functions.1.1Citing unique features of functions and other related terms;1.2Identifying the dependent and independent variables in a given function;1.3Plotting the dependent and independent variable in the Cartesian Plane;1.4Citing real life examples applying the concepts of function; and1.5Writing a problem situation involving the concepts of functions.Reference 1, Chapter 1:pp. 2-4Reference 2, Chapter 1:pp. 1-7Reference 3, Chapter 1:pp. 1-7Reference 4, Unit 1: pp.1-292.Evaluate a function.2.1Identifying input (Domain) of a given function;2.2Substituting the input to a given function; and2.3Computing the output (Range) of a given function.Reference 1, Chapter 1:pp. 8-11Reference 2, Chapter 1:pp. 8-10Reference 3, Chapter 1:pp. 8-9Reference 4, Unit 1: pp.30-363.Perform addition, subtraction, multiplication, division, and composition of functions.3.1Identifying the rules in operations of functions and3.2Employing the rules in each operation appropriately.Reference 1, Chapter 1:pp. 14-17Reference 2, Chapter 1:pp. 43-56Reference 3, Chapter 1:pp. 49-624.Solve problems involving functions.