A blank number bond is one of the most reusable things in an early math classroom. The same empty diagram covers finding pairs that make ten, splitting a number for mental addition, showing a fact family, and later on partitioning for column methods. Because it is blank, you set the difficulty: write 10 in the whole and let a child find the parts, or write both parts and ask for the whole. One printed sheet outlasts a dozen pre-filled worksheets.
Blank number bond diagrams with an empty whole circle joined to two part circles, in layouts of six and nine bonds per page. Versions include a completely blank whole for open-ended use, and sheets that pre-fill the whole with 10 or 20 for the two most common exercises. Circles are drawn large enough for young writers. Black and white, US Letter.
A diagram showing how a number splits into parts — a whole in one circle joined to two or more parts. Seven splits into three and four, so 3 and 4 are a number bond to 7. It shows addition and subtraction as the same relationship viewed two ways.
How do number bonds help with mental math?
They make partitioning explicit. A child adding 8 and 5 who knows that 5 splits into 2 and 3 can make 8 and 2 into ten and then add the remaining 3. That bridging-through-ten strategy is built directly on number bond fluency.
What is the difference between a number bond and a fact family?
A fact family is the set of four equations you can write from the same three numbers — two additions and two subtractions. A number bond is the diagram those equations come from. Many teachers use one to introduce the other, with the bond drawn first and the four facts written underneath.
What age are these for?
As an editorial guide, roughly ages 5 to 8. The sheets with the whole pre-filled as 10 suit the youngest end, the bonds to 20 come next, and the fully blank versions are the most flexible — you set the whole, so the same sheet can be used again at a harder level.