Addition and Subtraction Algorithms

A shstematic procedure used to accomplish an operation

Algorithms

What are some everyday algorithms?

Recipes, assembly instructions, procedures in owners' manual, morning routine

What is the most important tool for the development of algorithms? "Fluency with basic facts

Speed and efficiency

Base ten blocks are also called?

Dienes blocks

True or false: The term carrying is mathematically correct in addition

FALSE
*Regrouping

Aka the expanded algorithm, intermediate traditional algorithm, instructional algorithm, and what?

Partial sum algorithm

Very similar to the expanded/intermediate traditional algorithm in which the organized structure helps with place value alignment and involves and rectangular table with 1 direction diagonals

Lattice addition

The following are steps for which algorithm?
1. Write addenda vertically
2. Add vertically (basic facts) and record one's digit below the diagonal and the tens digit above
3. Add the alleys from right to left regrouping to the next alley as needed (must s

Lattice addition

True or false: The term borrowing is mathematically correct in subtraction

FALSE
*Regrouping

List the three alternative subtraction algorithms.

1. Subtract from the base
2. Equal addends
3. Alternative traditional

The "use what you have" algorithm of subtraction

Subtract from the base

The goal of this algorithm is to find an "easy" subtrahend that does not require regrouping (multipliers/powers of ten)

Equal addends algorithm

An algorithm that goes to the minuend to regroup and adds one to have enough to subtract

Alternative traditional