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:
Adding any two whole numbers
How to add single-digit numbers
How to add 2-digit numbers
How to add multi-digit numbers
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:
Addition
Sum
Subtraction
Difference
Multiplication
Product
Factor
Greatest Common Factor
Prime
Composite
Division
Quotient
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