GRADE 11 - SCIENCE, TECHNOLOGY, ENGINEERING, AND MATHEMATICS STRAND (STEM) → STEM 11 First Semester

GENERAL MATHEMATICS


Description
THE GENERAL MATHEMATICS TEACHING GUIDE FOR SENIOR HIGH SCHOOL
Implementing a new curriculum is always subject to a new set of challenges. References are not always available, and training may be too short to cover all the required topics. Under these circumstances, providing teachers with quality resource materials aligned with the curricular competencies may be the best strategy for delivering the expected learning outcomes. Such is the rationale for creating a series of teaching guides for several Grade 11 and 12 subjects. The intention is to provide teachers a complete resource that addresses all expected learning competencies, as stated in the Department of Education’s official curriculum guide.

This resource is a teaching guide for General Mathematics. The structure is quite unique, reflective of the wide scope of General Mathematics: functions, business

mathematics, and logic. Each lesson begins with an introductory or motivational activity. The main part of the lesson presents important ideas and provides several solved examples. Explanations to basic properties, the rationale for mathematical procedures, and the derivation of important formulas are also provided. The goal is to enable teachers to move learners away from regurgitating information and towards an authentic understanding of, and appreciation for, the subject matter.





The chapters on functions are an extension of the functions learned in Junior High School, where the focus was primarily on linear, quadratic, and polynomial functions. In Grade 11, learners will be exposed to other types of functions such as piecewise, rational, exponential, and logarithmic functions. Related topics such as solving equations and inequalities, as well as identifying the domain, range, intercepts, and asymptotes are also included.

The chapters on business mathematics in Grade 11 may be learners’ first opportunity to be exposed to topics related to financial literacy. Here, they learn about simple and compound interest, annuities, loans, stocks, and bonds. These lessons can hopefully prepare learners to analyze business-related problems and make sound financial decisions.

The final chapter on logic exposes learners to symbolic forms of propositions (or statements) and arguments. Through the use of symbolic logic, learners should be able to recognize equivalent propositions, identify fallacies, and judge the validity of arguments. The culminating lesson is an application of the rules of symbolic logic, as learners are taught to write their own justifications to mathematical and real-life statements.

This Teaching Guide is intended to be a practical resource for teachers. It includes activities, explanations, and assessment tools. While the beginning teacher may use this Teaching Guide as a “script,” more experienced teachers can use this resource as a starting point for writing their own lesson plans. In any case, it is hoped that this resource, together with the Teaching Guide for other subjects, can support teachers in achieving the vision of the K to 12 Program.
Content
  • FIRST SEMESTER
  • INTRODUCTION
  • Rational Equations
  • RATIONAL EQUATIONS
  • ACTIVITY 1.1
  • Simplifying Rational Equations
  • Performance Tasks 1.1
  • QUIZ 1.2
  • Addition and Subtraction of Rational Equations
  • Addition of Rational Equations
  • Multiplication of Rational Equations
  • Division of Rational Equations
  • Division of Rational Equations
  • QUIZ
  • Quiz Answer
  • Complex Rational Equations
  • Complex Rational Equations
  • QUIZ
  • Quiz Answer
  • Polynomial Functions
  • Exponential Function
  • exponential equation
  • PERFORMANCE TASK/ PROJECT
  • Performance Task Output
  • Logarithmic equations
  • Logarithmic Functions
  • Simple interest
  • Compound Interest
  • Bonds
  • Stocks and bonds
  • MIDTERM PART 1
  • MIDTERM PART 2
  • Midterm Exam Answer
  • FINAL LESSONS
  • key concepts of propositional logic
  • Key concepts of propositional logic
  • Activity 1
  • Quiz 1
  • Performance Task 1
  • Syllogisms
  • Assignment 1
  • Quiz 2
  • Fallacies
  • Quiz 3
  • PERFORMANCE TASKS 2
  • Illustrates a proposition
  • Illustrates a proposition
  • Illustrates a proposition
  • performance Tasks 3
  • the different forms of conditional propositions
  • the different forms of conditional propositions
  • the different forms of conditional propositions
  • Assignment
  • QUIZ
  • PERFORMANCE TASK
  • ACTIVITY
  • PROJECT 1
  • PROJECT 2
  • FINAL EXAM PART 1
  • PART 1 - ANSWER HERE
  • FINAL EXAM PART 2
  • FINAL EXAM PART - ANSWER HERE
Completion rules
  • All units must be completed