# Unitizing – Principles of Counting and Quantity

Unitizing is the understanding that you can count a large group of items by counting smaller, equal groups of items from within the large group.

Unitizing is the counting and quantity principle that refers to the understanding that you can count a large group of items by counting smaller, equal groups of items from within the large group.

Unitizing is area of struggle for middle and high school students that often goes undetected.

This is a pretty heavy concept. When we first learn how to count, we are counting individual objects which are all relative to one and thus we sort of ignore it to avoid redundancy and unneeded complexity at that time. But when we start to make equal groups and count those groups for place value, skip counting, and eventually multiplication, things get complex fast and it all starts with the ability to unitize.

So you think that some of your middle or high school students are struggling with number sense? Maybe heading back to unitizing and the other counting and quantity principles could be helpful during some of your warm-up routines.

Luckily, I have a whole playlist of Counting and Quantity Principle posts you can access right now.

For a full summary of unitizing and all the other counting principles, read the original blog post from my personal blog, Tap Into Teen Minds.

#### 3 comments

• […] See this animation in video format here. […]

• […] Unitizing is also important for students to understand that objects are grouped into tens in our base-ten number system. For example, once a count exceeds 9, this is indicated by a 1 in the tens place of a number. See this animation in video format here. […]

• […] UnitizingMultiplication and division are based on equal groups or units […]