Chapter 6: Rational Number Operations and Properties
6.5 Comparing, Ordering, and Connecting Rational Numbers 6.5.1. Comparing rational numbers 6.5.1.1. All of the following help to build notions about comparing rational numbers 6.5.1.1.1. models 6.5.1.1.
Chapter 7: Proportional Reasoning
7.2 Proportional Variation and Solving Proportions 7.2.1. Recognizing proportional variation 7.2.1.1. ratio remains constant Fundamental Theorem of Fractions idea 7.2.1.2. Definition of quantities varying proportionally:
Chapter 7: Proportional Reasoning
7.1 The Concept of Ratio
7.1.1. Meaning of ratio
7.1.1.1.
A ratio as a comparison
7.1.1.1.1. compares two like quantities
7.1.1.1.2. compares two unlike quantities
7.1.1.1.3. Definition of ratio: A ratio is an ordered pai
Chapter 4: Number Theory
4.2 Prime and Composite Numbers 4.2.1. Defining Prime and Composite Numbers 4.2.1.1. Definition of Prime and Composite Numbers: A natural number that has exactly two distinct factors is called a prime number. A natural number that
Chapter 2: Sets and Whole-Number Operations and Properties
2.4 Numeration 2.4.1. Numeration Systems 2.4.1.1. 2 is a symbol, it is NOT a number numbers are abstract ideas 2.4.1.2. Symbol representing a number is numeral sometimes called the name of the num
Chapter 2: Sets and Whole-Number Operations and Properties
2.2 Addition and Subtraction of Whole Numbers 2.2.1. Using Models and Sets to Define Addition 2.2.1.1. How are addition and subtraction different? 2.2.1.2. How are addition and subtraction alike?
Chapter 6: Rational Number Operations and Properties
6.1 Rational Number Ideas and Symbols 6.1.1. Rational Number Uses and Models 6.1.1.1. Models for rational numbers 6.1.1.1.1. Used to describe a quantity between 0 and 1 6.1.1.1.2. identify the whole rep
Chapter 4: Number Theory
4.1 Factors and Divisibility 4.1.1. Connecting Factors and Multiples 4.1.1.1. Definition of factor and multiple: If a and b are whole numbers and ab = c, then a is a factor of c, b is a factor of c, and c is a multiple of both a a
Chapter 5: Understanding Integer Operations and Properties
5.1 Addition, Subtraction, and Order Properties of Integers 5.1.1. Integer Uses and Basic Ideas 5.1.1.1. Definition of Integers: The set of integers, I (more often seen as Z), consists of the posi
Chapter 7: Proportional Reasoning
7.3 Solving Percent Problems 7.3.1. Definition of percent 7.3.1.1. Definition of percent: a percent is a ratio with a denominator of 100 7.3.1.2. represented by the symbol % 7.3.1.3. 100% means 100 or ALL of the amount 10
Chapter 2: Sets and Whole-Number Operations and Properties
2.1 Sets and Whole Numbers 2.1.1. Sets and Their Elements 2.1.1.1. Sets and their elements 2.1.1.1.1. set: any collection of objects or ideas that can be listed or described 2.1.1.1.1.1.1. Example
Chapter 1: Mathematical Processes
1.2 Reasoning Mathematically
1.2.1. Types of Reasoning
1.2.1.1. Several different types of reasoning
1.2.1.1.1. inductive
1.2.1.1.2. deductive
1.2.1.1.3. proportional
1.2.1.1.4. spatial
1.2.1.2. Sometimes used individuall
Chapter 1: Mathematical Processes
1.3 Mathematics as Problem Solving p. 40 1.3.1. The Role of Problem Solving 1.3.1.1. Central to the development and application of mathematics 1.3.1.2. Used extensively in all branches of mathematics 1.3.1.3. The Meaning
Chapter 3: Estimation and Computation
3.2 Strategies and Procedures for Estimation 3.2.1.1. Description of the Three Main Types of Estimation: 3.2.1.1.1. Estimating a quantity: Finding how many students, days, lunches, classes, and so on 3.2.1.1.2. Estima
Chapter 2: Sets and Whole-Number Operations and Properties
2.3 Multiplication and Division of Whole Numbers 2.3.1. Using Models and Sets to Define Multiplication 2.3.1.1. Sets arranged in equal rows and columns are called rectangular arrays 2.3.1.2. To na