Investigating Quantity: Number, Operations & Numeration Systems

Chapter 5: Integers

Definition of Absolute Value and Integers

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Addition of Integers

Models

Chips

Number Line

Patterns

Zero Pairs

Charge Field

Subtraction of Integers

Models

Chips

Number Line

Patterns

Zero Pairs

Charge Field

Multiplication of Integers

Models

Subtopic

Division of Integers

Models

Chapter 4: Number Theory

Divisibility

Factors & Multiples

Divisibility Tests

Prime & Composite Numbers

Prime Factorization

Fundamental Theorem of Arithmatic

Factor Tree

Prime Numbers

Greatest Common Divisor

Methods

Rod Method

Intersection Sets

Prime Factorization

Euclidean Method

Least Common Multiple

Methods

Number Line

Rod Method

Intersection Sets

Prime Factorization

Chapter 6: Rational Numbers & Proportional Reasoning

Set of Rational Numbers

Rational Numbers on Number Line

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Equivalent Fractions

Simplifying Fractions

Ordering Fractions

Addition, Subtraction, and Estimation with Rational Numbers

Addition

Properties of Adding Rational Numbers

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Subtraction

Estimation

Multiplication, Division, and Estimation with Rational Numbers

Multiplication

Properties of Multiplying Rational Numbers

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Division

Estimation

Proportional Reasoning

Chapter 3: Numeration Systems & Whole Number Operations

Numeration Systems

Base-10

r

Notes

Numeration Systems

Arabic

Egyptian

Greek

Hindu

Mayan

Roman Numerals

Place Value

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Addition of Whole Numbers

Algorithm

Methods

Combinations of 10

Counting On

Making 10

Number Line

Set Model

Using Known Sums

Properties

Associative

Communitive

Distribution

Identity

Subtraction of Whole Numbers

Algorithm

Methods

Comparison

Missing Addend

Number Line

Take Away

Subtraction Property of Equality

Multiplication of Whole Numbers

Algorithm

Properties

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Associative

Closure

Communitive

Identity

Methods

Array Model

Area Model

Cartesian-Product Model

Repeated Addition

Division of Whole Numbers

Algorithm

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Methods

Area Model

Base 10 Blocks

The "Big 7"

Properties

Associative

Commutative

Distributive

Identity