SETS &
GROUPING
Addition is great for counting a few items, but what happens when you have hundreds? Grouping allows us to bundle items into neat sets, transforming slow counting into lightning-fast math.
The Shortcut
Imagine you want to count the wheels on 5 cars. You could count them one by one: 1, 2, 3, 4, 5... all the way to 20. But that takes forever!
Instead, you notice a pattern. Every car has exactly 4 wheels. You have 5 cars. This means you have 5 groups of 4. Instead of counting individually, you can use Multiplication (×), which is just a super-fast shortcut for adding the same number over and over again.
Building Arrays
An Array is a set of items arranged in rows and columns. It is the best way to visualize multiplication! Let's build some arrays using the Pokémon Daycare system below.
Pokémon Daycare
Array Builder
The Art of Division
If Multiplication is bundling things together, Division (÷) is breaking them apart. But there is a catch: you have to break them apart fairly.
Imagine you have 15 pieces of candy and 3 friends. You want to give each friend the exact same amount. You are taking a big group and splitting it into 3 smaller, equal groups.
Total Candy ÷ Number of Friends = Candy per Friend
Unit Complete!
You are ready to group and share anything in the world.