Addition 

Partial Sums Addition

Column Addition 1

Column Addition 2

Opposite Change Rule or Compensating - I do this one quite a bit. 

 

Subtraction

Trade First Method with Base 10 Blocks

Counting Up Subtraction - I’ve always done this one, didn’t know what the name was.

Left to Right Subtraction

Partial Differences Subtraction

Same Change Subtraction - compensating but subtraction

 

Multiplication and Division (Solutions Strategies Chart)

 

Multiplication

Partial Products

Partial Products 2

Lattice Multiplication

Lattice 2

Others

Line Multiplication - Can only watch on youtube

Unique Strategy for 1 x 1 multiplication - also youtube

Finger multiplication - youtube and very unique

 

Division

Partial Quotient Division - number subtraction method

Partial Quotient 2

Column Division with Decimals