Math171(Chapter Summary)

Chapter 1: Problem Solving

Four-Step Proplem Process

Strategies for Problem Solving

There are several strategies for problem solving, such as "look for pattern," "examine a related problem," "Examine a simpler Case," "Make a table," "identify a subgoal," "Make a Diagram," "Guess and check," etc...

Explorations with Patterns

Arithmetic Sequences

Arithmetic sequences is one in which each successive term from the secound term on is obtained from the previous term by the addition or subtraction of a fixed number.For example, 1,2,3,4,5,6... 0,5,10,15,20,25,30...

Fibonacci Sequences

This sequence named after Leonaldo Fibonacci.

Geometric Sequences

A sequence of the number where each term is multiplied by the previous number by a certain ratio.For example, 2,4,8,16,32,...3,9,27,81,243,.....

Other Sequences

The sequence which is neither arithmetic sequences nor Fibonacci Sequence nor Geometric Sequences.For Example, 1,3,6,10,15,...1,4,9,16,25,36,49,....

Chapter 2: Numeraton Systems and Sets

Numeration System

Ancient Numeration System

Babylonian

Egyptian

Mayan

Greek

Roman

Hindu

Arabic

Hindu-Arabic

Other Number Base System

Describling Sets

Other Set Operations and Their Properties

Chapter 6: Rational Numbers as Fractions

Subtopic

Chapter 5: Integers and Number Theory

Subtopic

Chapter 4: Algebraic Thinking

Variables

Equations

Functions

Chapter 3: Whole Numbers and Their Operations

Subtopic