Multiplication Models and Algorithms

Set Model

elements are in circles; elements can be any symbol

Array Model

elements are in a rectangular pattern, but not in rectangles

Rectangle Model

start with a large rectangle and divide it to match the problem; also known as an area model

Skip-Count Model

Ex. 2 × 4 : count by 2 four times out loud; often counted on fingers 

Number Line Model

visualization of skip-count model

Tree Model

often used in probability

Expanded Algorithm

break down numbers by their place value and multiply each part separately to find a series of partial products, which are then added together to get the final answer

Instructional Algorithm

Final Algorithm

standard algorithm that most people use for multiplication

Lattice Multiplication

see image

Hand Algorithms

Multiplying by Nine with Fingers and multiplying numbers 6-10 using hands