# Alternate algorithms

There is rarely only one way to solve a mathematics problem. For the assigned algorithm:

- Create an
**easy** problem and solve it step-by-step
- Create a
**more complex** problem and solve it step-by-step
- Identify key features of the algorithm
- Provide benefits for the algorithm

## Addition & subtraction

Partial sums addition

Equal-addition subtraction

Austrian subtraction

Counting-up subtraction

## Multiplication & division

Lattice multiplication

Partial products

Partial products with area model (CCSS progressions, page 15)

Big 7 division (aka. partial quotients or scaffold division)

## Optional

"Standard" multiplication

Line multiplication (video: Vi Hart)

Many ways of artithmetic in USCMP