## Tag: arrays

## The Progression of Division

Division From Fair Sharing to Long Division and Beyond Over the past school year, I have had an opportunity to work with a great number of K to 8 teachers in my district with a focus on number sense and numeration. As a secondary math teacher turned K-12 math consultant, I’ve had to spend a significant amount of time tearing apart key number sense topics including the operations. While I often hear teachers concerned about multiplication skills of their students, an operation that doesn’t come up too often in discussion is division. However, what I found interesting this year was how much of a struggle it was for teachers to attempt representing division from a conceptual standpoint instead of simply relying on a procedure. After spending ...

## The Progression of Multiplication

Arrays and Area Models to The Standard Algorithm Did you know that the words "array" and "area model" appear in the Grade 1-8 Math Curriculum a combined 22 times? Not only do arrays and area models help to support the development of proportional reasoning when we formally introduce multiplication in primary, but they also help us understand how to develop strategies that lead to building number flexibility and the automaticity of math facts. Arrays and area models should be used as a tool and representation for many big ideas in mathematics including, but not limited to: Multiplication Distributive Property with Whole Numbers Finding Area with Whole Number Dimensions Perfect Squares & Square Roots Multiplying ...