Download M4 – Math – Basic Mathematics for Arts and Languages

EIP Mathayom Course Outline
First Semester
Subject: Basic Math
Grade: Mathayom 4
Course Description:
This course in basic mathematics is required of students in Mathayom 4 with an emphasis in
Languages. The material to be covered during the year was selected in accordance with the
Basic Education Curriculum (BE2551) issued by the Ministry of Education Thailand. During the
year the material covered will meet and exceed all educational benchmarks and standards. The
primary focus in this year will be the general study of advanced algebra, probability, and
statistics. The course is designed to provide students with the basic mathematics background for
university admission
Course Objectives:
 To provide a solid introduction to mathematical theory.
 To approach mathematics in a sequence that instills confidence, and then
challenges students.
 To develop analytical and critical thinking skills through investigative work.
 To develop Information Technology skills related to mathematical topics.
 To develop practical skills for solving a wide variety of mathematical problems.
 To provide the students with useful estimation and mental calculation skills.
 To provide the students with a number of problem solving techniques that can be
applied to mathematics and other intellectual pursuits.
Textbooks
Precalculus – A Graphing Approach, Holt, 2006
Fundamentals of Math, Setek Jr. – Gallo, 2005, Tenth Edition
EIP Mathayom Course Outline
First Semester
Subject: Basic Math
Grade: Mathayom 4
Contents
Unit 1B:
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Sets
(Fundamentals of Mathematics – Ch. 2)
Roster Form
Set Builder Notation
Well-Defined Sets
Finite and Infinite Sets
Equal and Equivalent Sets
Disjoint Sets
The Empty Set
Subsets and Proper Subsets
Intersection and Union of Two Sets
The Universal Set
Complement of a Set
Symmetric Difference Between Sets
Multiple Set Operations
Idempotency, Commutative, Associative, Distributive, Absorption, and DeMorgan’s
Laws
Venn-Euler Diagrams
One-to-One Correspondence of Sets
Cardinality of a Set
Cartesian Product of Two Sets
EIP Mathayom Course Outline
First Semester
Unit 2B: Number Patterns
(Precalculus – Ch. 1)
 Integers, Natural, Whole, and Real Numbers,
 Rational and Irrational Numbers
 The Real Number Line
 The Coordinate Plane
 Scatter Plots
 Relations
 Domain and Range
 Functions and Function Notation
 Sequence Notation
 Recursively Defined Sequences
 Recursive and Explicit forms Arithmetic Sequences
 Summation Notation
 Partial Sums of an Arithmetic Sequence
 Graphs
 Solution of an Equation
 Slope of a Line
 Point Slope and Slope Intercept form of a Line
 Vertical and Horizontal Lines
 Parallel and Perpendicular Lines
 Standard Form of a Line
 Mathematical Models
 Finite Differences
 Residuals
 Least-Square Regression Line
 Correlation Coefficient
 Correlation and Slope
 Recursive and Explicit forms of Geometric Sequences
 Partial Sums of a Geometric Sequence
Unit 3B: Basic Equations and Inequalities
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Complete Graphs
The Intersection Method
Zeros, x-Intercepts, and Solutions
The x-Intercept Method
Definition of a Quadratic Equation
Solving Quadratic Equations
The Zero Product Property
Completing the Square
The Quadratic Formula
The Discriminant
Polynomials in Quadratic Form
Algebraic and Geometric Definitions of Absolute Value
Properties of Absolute Value
Square Root of Squares
Solving Absolute Value Equations
Extraneous Solutions
Solving Radical Equations
Power Principle
Fractional Equations
Interval Notation
Equivalent Inequalities
Solving Linear and Non-Linear Inequalities
Unit 4B: Basic Functions and Graphs
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(Precalculus – Ch. 2)
(Precalculus – Ch. 3)
Functions
Functions Defined by Equations
Difference Quotient
Domain Convention
Piecewise-Defined and Greatest Integer Function
Functions Defined by Graphs
Vertical Line Test
Increasing and Decreasing Functions
Local Maxima and Minima
Concavity and Inflection Points
Graphs of Piecewise-Defined and Greatest Integer Functions
Parametric Graphing
EIP Mathayom Evaluation and Grading
First Semester
Subject: Basic Math
Grade: Mathayom 4
Breakdown of Grades
First Quarter
Total
Basic Mathematics Unit 1
Homework
Quizzes
Behavior
5%
5%
2.5%
Basic Mathematics Unit 2
Homework
Quizzes
Behavior
5%
5%
2.5%
Authentic Work
Mid-Term Examination
5%
20%
Total for First Quarter
50%
Second Quarter
Basic Mathematics Unit 3
Homework
Quizzes
Behavior
5%
5%
2.5%
Basic Mathematics Unit 4
Homework
Quizzes
Behavior
5%
5%
2.5%
Project
Final Examination
5%
20%
Total for Second Quarter
50%
Total Marks for First Term
100%