Reception Maths: Number bonds to 10
Part of the Reception Maths making and splitting numbers chapter. Chapter overview · whole chapter on one page
Number bonds to 10
Mia has a ten frame. It has room for ten counters. She puts red counters in one part and yellow counters in the other.
Some pairs that make 10 are 0 and 10, 1 and 9, 2 and 8, 3 and 7, 4 and 6, 5 and 5. A full ten frame is always ten.
Key ideas
- Ten is a full ten frame.
- The pairs that make 10 include 5 and 5.
- Use the ten frame to check each pair.
Key words. The whole is all of the things. The parts are the groups that make it.
Method. Put the two parts together, then count them all.
- Find the first part: 7. Start with the bigger part and count on.7
- Count on 3 more. Count on one at a time from the first part.7 + 3 = 10
- Write the answer. The total is the whole.10
Check. Count the whole group one at a time: 10. ✓
Watch out. Count on from the bigger part. The total is always bigger than either part.
Key words. A missing part is the number we add to the known part to make the whole.
Method. The whole is 10. One part is 6. Find the other part.
- Start with the whole: 10. The whole has all the things.10
- Take away the part you know: 6. What is left is the other part.10 − 6 = 4
- Check by counting on. 6 and 4 must make 10.6 + 4 = 10
- Write the answer. 4
Check. Count on from 6 to 10: 4 more. ✓
Watch out. Count on from the part you know, to reach the whole.
Key words. The whole is all of the things. The parts are the groups that make it.
Method. Put the two parts together, then count them all.
- Find the first part: 8. Start with the bigger part and count on.8
- Count on 2 more. Count on one at a time from the first part.8 + 2 = 10
- Write the answer. The total is the whole.10
Check. Count the whole group one at a time: 10. ✓
Watch out. Count on from the bigger part. The total is always bigger than either part.
Watch out
Watch out: 6 and 3 make 9, not 10. Check each pair by counting the whole ten frame.
Exam tip
Grown-up tip. Draw a ten frame on paper (two rows of five). Fill it with counters or beans in two colours. Ask: “How many of each colour? What is the total?”
Exercise 4C Bonds to 10
Non-calculatorKey words. The whole is all of the things. The parts are the groups that make it.
Method. Put the two parts together, then count them all.
- Find the first part: 7. Start with the bigger part and count on.7
- Count on 3 more. Count on one at a time from the first part.7 + 3 = 10
- Write the answer. The total is the whole.10
Check. Count the whole group one at a time: 10. ✓
Watch out. Count on from the bigger part. The total is always bigger than either part.
Key words. The whole is all of the things. The parts are the groups that make it.
Method. Put the two parts together, then count them all.
- Find the first part: 2. Start with the bigger part and count on.2
- Count on 8 more. Count on one at a time from the first part.2 + 8 = 10
- Write the answer. The total is the whole.10
Check. Count the whole group one at a time: 10. ✓
Watch out. Count on from the bigger part. The total is always bigger than either part.
Key words. A missing part is the number we add to the known part to make the whole.
Method. The whole is 10. One part is 6. Find the other part.
- Start with the whole: 10. The whole has all the things.10
- Take away the part you know: 6. What is left is the other part.10 − 6 = 4
- Check by counting on. 6 and 4 must make 10.6 + 4 = 10
- Write the answer. 4
Check. Count on from 6 to 10: 4 more. ✓
Watch out. Count on from the part you know, to reach the whole.
Key words. A missing part is the number we add to the known part to make the whole.
Method. The whole is 10. One part is 3. Find the other part.
- Start with the whole: 10. The whole has all the things.10
- Take away the part you know: 3. What is left is the other part.10 − 3 = 7
- Check by counting on. 3 and 7 must make 10.3 + 7 = 10
- Write the answer. 7
Check. Count on from 3 to 10: 7 more. ✓
Watch out. Count on from the part you know, to reach the whole.
Key words. The whole is all of the things. The parts are the groups that make it.
Method. Put the two parts together, then count them all.
- Find the first part: 9. Start with the bigger part and count on.9
- Count on 1 more. Count on one at a time from the first part.9 + 1 = 10
- Write the answer. The total is the whole.10
Check. Count the whole group one at a time: 10. ✓
Watch out. Count on from the bigger part. The total is always bigger than either part.
Key words. The whole is all of the things. The parts are the groups that make it.
Method. Put the two parts together, then count them all.
- Find the first part: 4. Start with the bigger part and count on.4
- Count on 6 more. Count on one at a time from the first part.4 + 6 = 10
- Write the answer. The total is the whole.10
Check. Count the whole group one at a time: 10. ✓
Watch out. Count on from the bigger part. The total is always bigger than either part.
Key words. The whole is all of the things. The parts are the groups that make it.
Method. Put the two parts together, then count them all.
- Find the first part: 10. Start with the bigger part and count on.10
- Count on 0 more. Count on one at a time from the first part.10 + 0 = 10
- Write the answer. The total is the whole.10
Check. Count the whole group one at a time: 10. ✓
Watch out. Count on from the bigger part. The total is always bigger than either part.
Key words. A missing part is the number we add to the known part to make the whole.
Method. The whole is 10. One part is 7. Find the other part.
- Start with the whole: 10. The whole has all the things.10
- Take away the part you know: 7. What is left is the other part.10 − 7 = 3
- Check by counting on. 7 and 3 must make 10.7 + 3 = 10
- Write the answer. 3
Check. Count on from 7 to 10: 3 more. ✓
Watch out. Count on from the part you know, to reach the whole.
Key words. A missing part is the number we add to the known part to make the whole.
Method. The whole is 10. One part is 4. Find the other part.
- Start with the whole: 10. The whole has all the things.10
- Take away the part you know: 4. What is left is the other part.10 − 4 = 6
- Check by counting on. 4 and 6 must make 10.4 + 6 = 10
- Write the answer. 6
Check. Count on from 4 to 10: 6 more. ✓
Watch out. Count on from the part you know, to reach the whole.
Method. Add the two parts in each pair. The right pair makes 10.
- Add the first pair. Check the total.4 + 5 = 9
- Add the other pairs. Only one pair makes the whole.3 + 7 = 10, 2 + 9 = 11
- Write the answer. 3 and 7
Check. 3 + 7 = 10. ✓
Watch out. Add both parts in each pair to check.
Key words. A missing part is the number we add to the known part to make the whole.
Method. The whole is 10. One part is 8. Find the other part.
- Start with the whole: 10. The whole has all the things.10
- Take away the part you know: 8. What is left is the other part.10 − 8 = 2
- Check by counting on. 8 and 2 must make 10.8 + 2 = 10
- Write the answer. 2
Check. Count on from 8 to 10: 2 more. ✓
Watch out. Count on from the part you know, to reach the whole.
Method. Add the two numbers together.
- Count 5. Five things.5
- Add 6 more. Count on six from five.5 + 6 = 11
- Compare with 10. Eleven is more than ten.11 is not 10
- Write the answer. No. 5 and 6 make 11, not 10.
Check. Count on from 5 to 11, six steps. ✓
Watch out. The pair must add to 10, not more or less.