Number Bonds: Part-Whole Relationships within 10

Free sample questions, a clear explanation, and 5 practice skills with an AI tutor that guides without giving the answer away.

Number Bonds: Your Math Superpower!

Hey Math Explorer! Did you know you have a secret superpower? It’s the power to see how numbers are connected, just like a family! We call this amazing tool a Number Bond, and it helps us understand how numbers work together.

Think about building with LEGOs. You might have a big, awesome spaceship. That spaceship is your WHOLE creation. The smaller LEGO pieces you used to build it—the wings, the cockpit, the wheels—are the PARTS. When you put all the parts together, you get the whole spaceship! Number bonds work exactly the same way.

Let's start with a small number, like 5. You can try this with your toys! Grab 5 crayons. That's your whole. Now, can you split them into two smaller groups? Maybe you put 2 crayons in your left hand and 3 crayons in your right hand. Great job! You just found the parts that make 5.

In math, we draw a picture for this. It has one big circle for the whole and two smaller circles for the parts, all connected with lines.

Key Takeaway

A Number Bond shows us how a 'whole' number is made up of smaller 'parts'. The parts join together to make the whole!

Your number bond superpower gets stronger with bigger numbers, like 10! And guess what? We can also write our number bonds as a cool math sentence. If our parts are 4 and 6, our whole is 10. We can write it like this: 4 + 6 = 10.

There are many ways to make a number. Look at all the parts that can make the whole number 7:

1 and 6 make 7 (1 + 6 = 7)
2 and 5 make 7 (2 + 5 = 7)
3 and 4 make 7 (3 + 4 = 7)

Let's Be Math Storytellers!

Let's make a story for the number 8. Imagine you have 8 yummy cookies (the whole). You eat 3 cookies after lunch (one part). How many cookies are left for a snack later? Let's use our number bond! If the whole is 8 and one part is 3, the other part must be... 5! You have 5 cookies left. Our math sentence is 3 + 5 = 8.

Amazing work, superstar! You're a number bond detective. Keep looking for parts and wholes all around you!

Sample questions

1. You have 3 yummy cookies. If 1 cookie has sprinkles, how many cookies do NOT have sprinkles?

○ 3 and 1

✓ 1 and 2

○ 2 and 2

○ 0 and 3

Answer: 1 and 2 — Think about putting the two parts together. Do they make the whole number 3?

2. There are 4 colorful balloons. If 2 balloons are red, how many balloons are blue?

○ 1 and 3

○ 4 and 0

✓ 2 and 2

○ 3 and 2

Answer: 2 and 2 — Can you count out 4 objects and then split them into two groups?

3. You have 5 shiny stickers. If 1 sticker is a star, how many stickers are hearts?

✓ 1 and 4

○ 2 and 3

○ 5 and 1

○ 4 and 4

Answer: 1 and 4 — If you have 5 things, and you take 1 away, how many are left?

Skills in this topic

Decompose numbers within 5 into pairs of parts using concrete objects (Number Bonds).
Represent number bonds for numbers within 5 using pictorial models.
Decompose numbers within 10 into pairs of parts using concrete objects (Number Bonds).
Represent number bonds for numbers within 10 using pictorial models and abstract equations.
Create a story problem that can be solved using the number bond for 8 (e.g., 3 and 5).

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