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# Unit 2: Basic Operations

Students will develop a true mastery of the meanings and representations of addition, subtraction, multiplication, factoring and division of whole numbers.  This unit is entirely focused on students utilizing and mastering the Discovery Method including making observations, writing hypotheses and proving their own theorems for each basic operation with whole numbers.

#### Theorems Your Student Will Discover:

Subtracting any two whole numbers with a positive difference

How to subtract with single-digit differences

How to subtract 2-digit numbers

How to subtract multi-digit numbers

Multiplying any two multi-digit whole numbers

How to multiply single-digit numbers

How to multiply 2-digit numbers by single-digit numbers

How to multiply multi-digit numbers by single-digit numbers

How to multiply 2-digit numbers by 2-digit numbers

How to multiply any two numbers

Factoring

How to factor a number

How to find the Greatest Common Factor of a set of numbers

Dividing any two whole numbers with a whole quotient

How to divide with single-digit quotients

How to divide a multi-digit number by a single-digit number

How to divide a multi-digit number by a 2-digit number

#### Definitions:

Sum

Subtraction

Difference

Multiplication

Product

Factor

Greatest Common Factor

Prime

Composite

Division

Quotient