This is a guide meant to assist teachers who are trying to teach the multiplication algorithm with understanding. It shows the stages of representations that I have used to help guide my students from area models to the traditional algorithm.
Multiple representations are illustrated along with practice problems.
Area Model (with Grids)
CCSS.Math.Content.4.NBT.B.5 Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
CCSS.Math.Content.5.NBT.B.5 Fluently multiply multi-digit whole numbers using the standard algorithm.