Number bonds help students see that a whole number can be made from two smaller parts. This cheat sheet gives young learners clear models for putting numbers together and taking them apart. It supports early addition and subtraction by using pictures, fingers, and ten frames.
Students can use it as a simple binder reference while practicing number facts.
Key Facts
- A number bond shows a whole and its parts, such as 7 is made from 3 and 4.
- The parts in a number bond can switch places, so 3 + 4 = 7 and 4 + 3 = 7.
- Making 10 means finding two numbers that add to 10, such as 6 + 4 = 10.
- The main making 10 pairs are 0 + 10, 1 + 9, 2 + 8, 3 + 7, 4 + 6, and 5 + 5.
- A ten frame has 10 spaces and helps show how many are filled and how many are empty.
- If a ten frame has 8 filled spaces, then 2 empty spaces are needed because 8 + 2 = 10.
- Fingers can show making 10 because 7 fingers up means 3 fingers down, so 7 + 3 = 10.
- A missing part can be found by counting on from the known part to the whole.
Vocabulary
- Number bond
- A number bond is a picture that shows how two parts make one whole number.
- Whole
- The whole is the total number made when the parts are put together.
- Part
- A part is one of the smaller numbers that makes the whole.
- Making 10
- Making 10 means finding two numbers that add together to equal 10.
- Ten frame
- A ten frame is a box with 10 spaces that helps students see numbers and pairs to 10.
- Pair
- A pair is two numbers that go together, such as 4 and 6 in 4 + 6 = 10.
Common Mistakes to Avoid
- Mixing up the whole and the parts is wrong because the whole is the total, not one of the smaller numbers.
- Forgetting that parts can switch places is wrong because 2 + 8 and 8 + 2 both make 10.
- Counting the filled spaces twice in a ten frame is wrong because each space should be counted only one time.
- Saying 5 + 4 makes 10 is wrong because 5 + 4 = 9, so one more is needed.
- Using fingers without checking how many are down is wrong because the fingers down show the missing part needed to make 10.
Practice Questions
- 1 Fill in the missing part: 6 + ___ = 10.
- 2 A number bond has whole 9 and one part 4. What is the other part?
- 3 A ten frame has 7 filled spaces. How many empty spaces are there, and what making 10 equation does it show?
- 4 Why can 3 + 7 and 7 + 3 both be used to show the same making 10 pair?
Understanding Number Bonds & Making 10
Young children learn number relationships best when they can move real objects. Put ten counters in a row, then slide some to one side and the rest to the other side. The total stays the same even when the groups look different.
This is an important idea. Moving objects does not create more objects or make any disappear. A child may first count every counter each time.
With practice, they begin to recognize small groups quickly. Seeing four dots without counting one, two, three, four is called noticing a quantity. This skill makes later addition faster and more confident.
A ten frame is useful because its spaces are arranged in a steady pattern. Children should fill spaces from left to right, starting at the top. This makes the picture easy to read.
A full top row shows five. One full row plus three more spaces shows eight. The empty spaces tell an equally important story.
When a child sees eight filled spaces, they can notice that only two spaces remain. They do not need to recount all ten spaces. This connects a picture of a number to the amount needed to reach the next important total.
Knowing the pairs that make ten becomes helpful in everyday school math. Students use them when adding numbers such as eight and five. They can take two from the five to complete ten with the eight, then see that three remain.
The total is ten plus three, or thirteen. This method may feel slow at first because children are learning two ideas at once. They are breaking apart one group, then joining a new group.
Counters, cubes, drawings, and fingers help make each step visible. Later, children can do the same thinking in their heads.
When practicing, pay attention to whether the child understands the picture or is only repeating an answer from memory. Ask them to show a number in more than one way with objects. Encourage them to explain what changed and what stayed the same.
A common mistake is counting a starting number again when counting on. If there are six objects already, keep six in mind and say seven, eight, nine as three more objects are added. Another mistake is treating an empty space as nothing worth noticing.
Empty spaces carry information because they show what is missing. Short daily practice with real objects builds stronger number sense than long worksheets completed without understanding.