# K to 12 Senior High School Core Curriculum – General Mathematics Curriculum Guide

Curriculum Guide  |  PDF

Published on 2018 September 25th

Description
Curriculum Guide of K to 12 Senior High School Core Curriculum – General Mathematics for Grade 11
Objective

#### Curriculum Information

 Education Type K to 12 Grade Level Grade 11 Learning Area Content/Topic Functions and Their Graphs Basic Business Mathematics Logic Intended Users Educators Competencies Represents real-life situations using functions, including piece-wise functions. Evaluates a function Performs addition, subtraction, multiplication, division, and composition of functions Solves problems involving functions. Represents real-life situations using rational functions Distinguishes rational function, rational equation, and rational inequality. Solves rational equations and inequalities Represents a rational function through its: (a) table of values, (b) graph, and (c) equation Finds the domain and range of a rational function Determines the: (a) intercepts (b) zeroes; and (c) asymptotes of rational functions Graphs rational functions Solves problems involving rational functions, equations, and inequalities Represents real-life situations using one-to one functions Determines the inverse of a one-to-one function Represents an inverse function through its: (a) table of values, and (b) graph Finds the domain and range of an inverse function Graphs inverse functions Solves problems involving inverse functions Represents real-life situations using exponential functions Distinguishes between exponential function, exponential equation, and exponential inequality Solves exponential equations and inequalities Represents an exponential function through its: (a) table of values, (b) graph, and (c) equation Finds the domain and range of an exponential function Determines the intercepts, zeroes, and asymptotes of an exponential function Graphs exponential functions Solves problems involving exponential functions, equations, and inequalities Represents real-life situations using logarithmic functions Distinguishes logarithmic function, logarithmic equation, and logarithmic inequality Illustrates the laws of logarithms Solves logarithmic equations and inequalities Represents a logarithmic function through its: (a) table of values, (b) graph, and (c) equation Finds the domain and range of a logarithmic function Determines the intercepts, zeroes, and asymptotes of logarithmic functions Graphs logarithmic functions Solves problems involving logarithmic functions, equations, and inequalities Illustrates simple and compound interests Distinguishes between simple and compound interests Computes interest, maturity value, future value, and present value in simple interest and compound interest environment Solves problems involving simple and compound interests Illustrates simple and general annuities Distinguishes between simple and general annuities Finds the future value and present value of both simple annuities and general annuities Calculates the fair market value of a cash flow stream that includes an annuity Calculates the present value and period of deferral of a deferred annuity Illustrate stocks and bonds Distinguishes between stocks and bonds Describes the different markets for stocks and bonds Analyzes the different market indices for stocks and bonds Interprets the theory of efficient markets Illustrates business and consumer loans Distinguishes between business and consumer loans Solves problems involving business and consumer loans (amortization, mortgage) Illustrates a proposition Symbolizes propositions Distinguishes between simple and compound propositions Performs the different types of operations on propositions Determines the truth values of propositions Illustrates the different forms of conditional propositions Illustrates different types of tautologies and fallacies Determines the validity of categorical syllogisms . establishes the validity and falsity of real-life arguments using logical propositions, syllogisms, and fallacies - - Illustrates the different methods of proof (direct and indirect) and disproof (indirect and by counterexample). Justifies mathematical and real-life statements using the different methods of proof and disproof

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