Investigating Quantity: Number, Operations & Numeration Systems

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Investigating Quantity: Number, Operations & Numeration Systems

Chapter 3: Numeration Systems & Whole Number Operations

Division of Whole Numbers

Distributive

Commutative

The "Big 7"

Base 10 Blocks

Multiplication of Whole Numbers

Repeated Addition

Cartesian-Product Model

Area Model

Array Model

Closure

Subtraction of Whole Numbers

Subtraction Property of Equality

Take Away

Missing Addend

Comparison

Addition of Whole Numbers

Properties

Identity

Distribution

Communitive

Associative

Using Known Sums

Set Model

Making 10

Counting On

Combinations of 10

Algorithm

Numeration Systems

Place Value

Roman Numerals

Mayan

Hindu

Greek

Egyptian

Arabic

Base-10

Notes

Chapter 6: Rational Numbers & Proportional Reasoning

Proportional Reasoning

Multiplication, Division, and Estimation with Rational Numbers

Division

Multiplication

Properties of Multiplying Rational Numbers

Addition, Subtraction, and Estimation with Rational Numbers

Estimation

Subtraction

Addition

Properties of Adding Rational Numbers

Set of Rational Numbers

Ordering Fractions

Simplifying Fractions

Equivalent Fractions

Rational Numbers on Number Line

Chapter 4: Number Theory

Least Common Multiple

Greatest Common Divisor

Methods

Euclidean Method

Intersection Sets

Rod Method

Prime & Composite Numbers

Prime Factorization

Prime Numbers

Factor Tree

Fundamental Theorem of Arithmatic

Divisibility

Divisibility Tests

Factors & Multiples

Chapter 5: Integers

Division of Integers

Multiplication of Integers

Subtopic

Subtraction of Integers

Addition of Integers

Models

Charge Field

Zero Pairs

Patterns

Number Line

Chips

Definition of Absolute Value and Integers