Taking away within 10
By the end of this chapter you will be able to
- I can take away from a group and count what is left
- I can count back to take away
- I can write a number sentence with the minus sign and the equals sign
- I can find the missing number when some things are taken away
- I can check my answer by adding the number taken away back on
You should already know
- Counting to 10 (Chapter 1)
- Adding within 10 (Chapter 5)
Where this leads
- Numbers to 20 (Chapter 2)
- Comparing quantities (Chapter 3)
Early Years Foundation Stage for England, maths. Content: Take away from a group and count what is left, Count back to take away on a number track, Use the sign minus and the equals sign in simple number sentences, Find the missing number in a take-away problem, Check a take-away answer by adding back.
Exercise P Do you remember?
Non-calculatorMethod. Find 8 on the track. Move one box back.
- Find 8. Put your finger on it.8
- Move one box back. One less is the number before.8 − 1 = 7
- Write the answer. 7
Check. Check: 7 + 1 = 8. ✓
Watch out. One less is the number before, not after.
Method. Think about a tricycle you have seen.
- Look at the wheels at the front. Count each wheel once.1, 2
- Look at the back wheel. There is one more wheel at the back.3
- Write the answer. 3
Check. Count the wheels: 1, 2, 3. ✓
Watch out. Count every wheel once.
Method. Find 6 on the track. The number before it is the answer.
- Find 6. Put your finger on it.6
- Look at the box before it. The number before 6 is one less.6 − 1 = 5
- Write the answer. 5
Check. Count 5, 6. Five is before six. ✓
Watch out. The number before is one less.
Method. A double: two equal parts of two.
- Look at 2 and 2. Two equal parts.2 and 2
- Count them together. Count all the things.1, 2, 3, 4
- Write the answer. 4
Check. Count 4 things in all. ✓
Watch out. Both parts are the same, so this is a double.
Method. Find 3 and 6 on the track. The number that comes first is less.
- Find 3 and 6. Put a finger on each.3 and 6
- Look at which comes first. Three comes before six when we count.3 is less
- Write the answer. 3
Check. Count 3, 4, 5, 6. Three is less. ✓
Watch out. The smaller number comes first when we count.
Taking away and counting what is left
Mia has 5 apples. She eats 2 of them. How many apples are left?
Start with all the apples. Take away the ones that go, and cross them out. Then count only the apples that are left.
Key ideas
- Take away means some are removed.
- Count only the things that are left.
- Check: the left-over and the taken-away make the start.
Key words. Take away means some are removed. The sign − means take away.
Method. Start with all of them. Take away the ones that go, then count what is left.
- Start with 5. Count all the things first.5 in all
- Take away 2. Cross out the ones that are taken away.5 − 2
- Count what is left. Count only the ones that are not crossed out.3 left
- Write the answer. 3
Check. Add them back: 3 + 2 = 5. ✓
Watch out. Count only what is left. Do not count the crossed out ones.
Key words. Take away means some are removed. The sign − means take away.
Method. Start with all of them. Take away the ones that go, then count what is left.
- Start with 7. Count all the things first.7 in all
- Take away 3. Cross out the ones that are taken away.7 − 3
- Count what is left. Count only the ones that are not crossed out.4 left
- Write the answer. 4
Check. Add them back: 4 + 3 = 7. ✓
Watch out. Count only what is left. Do not count the crossed out ones.
Key words. Take away means some are removed. The sign − means take away.
Method. Start with all of them. Take away the ones that go, then count what is left.
- Start with 6. Count all the things first.6 in all
- Take away 1. Cross out the ones that are taken away.6 − 1
- Count what is left. Count only the ones that are not crossed out.5 left
- Write the answer. 5
Check. Add them back: 5 + 1 = 6. ✓
Watch out. Count only what is left. Do not count the crossed out ones.
Watch out
Watch out: count the ones that are left, not the ones that were taken away.
Exam tip
Grown-up tip. Use five buttons. Move two off the table. Ask: “How many are left?” Then put the two back and count all five again.
Exercise 6A Taking away and counting
Non-calculatorKey words. Take away means some are removed. The sign − means take away.
Method. Start with all of them. Take away the ones that go, then count what is left.
- Start with 5. Count all the things first.5 in all
- Take away 2. Cross out the ones that are taken away.5 − 2
- Count what is left. Count only the ones that are not crossed out.3 left
- Write the answer. 3
Check. Add them back: 3 + 2 = 5. ✓
Watch out. Count only what is left. Do not count the crossed out ones.
Key words. Take away means some are removed. The sign − means take away.
Method. Start with all of them. Take away the ones that go, then count what is left.
- Start with 7. Count all the things first.7 in all
- Take away 3. Cross out the ones that are taken away.7 − 3
- Count what is left. Count only the ones that are not crossed out.4 left
- Write the answer. 4
Check. Add them back: 4 + 3 = 7. ✓
Watch out. Count only what is left. Do not count the crossed out ones.
Key words. Take away means some are removed. The sign − means take away.
Method. Start with all of them. Take away the ones that go, then count what is left.
- Start with 6. Count all the things first.6 in all
- Take away 1. Cross out the ones that are taken away.6 − 1
- Count what is left. Count only the ones that are not crossed out.5 left
- Write the answer. 5
Check. Add them back: 5 + 1 = 6. ✓
Watch out. Count only what is left. Do not count the crossed out ones.
Key words. Take away means some are removed. The sign − means take away.
Method. Start with all of them. Take away the ones that go, then count what is left.
- Start with 8. Count all the things first.8 in all
- Take away 4. Cross out the ones that are taken away.8 − 4
- Count what is left. Count only the ones that are not crossed out.4 left
- Write the answer. 4
Check. Add them back: 4 + 4 = 8. ✓
Watch out. Count only what is left. Do not count the crossed out ones.
Key words. Take away means some are removed. The sign − means take away.
Method. Start with all of them. Take away the ones that go, then count what is left.
- Start with 9. Count all the things first.9 in all
- Take away 5. Cross out the ones that are taken away.9 − 5
- Count what is left. Count only the ones that are not crossed out.4 left
- Write the answer. 4
Check. Add them back: 4 + 5 = 9. ✓
Watch out. Count only what is left. Do not count the crossed out ones.
Key words. Take away means some are removed. The sign − means take away.
Method. Start with all of them. Take away the ones that go, then count what is left.
- Start with 10. Count all the things first.10 in all
- Take away 3. Cross out the ones that are taken away.10 − 3
- Count what is left. Count only the ones that are not crossed out.7 left
- Write the answer. 7
Check. Add them back: 7 + 3 = 10. ✓
Watch out. Count only what is left. Do not count the crossed out ones.
Key words. Take away means some are removed. The sign − means take away.
Method. Start with all of them. Take away the ones that go, then count what is left.
- Start with 4. Count all the things first.4 in all
- Take away 1. Cross out the ones that are taken away.4 − 1
- Count what is left. Count only the ones that are not crossed out.3 left
- Write the answer. 3
Check. Add them back: 3 + 1 = 4. ✓
Watch out. Count only what is left. Do not count the crossed out ones.
Key words. Take away means some are removed. The sign − means take away.
Method. Start with all of them. Take away the ones that go, then count what is left.
- Start with 6. Count all the things first.6 in all
- Take away 2. Cross out the ones that are taken away.6 − 2
- Count what is left. Count only the ones that are not crossed out.4 left
- Write the answer. 4
Check. Add them back: 4 + 2 = 6. ✓
Watch out. Count only what is left. Do not count the crossed out ones.
Key words. Take away means some are removed. The sign − means take away.
Method. Start with all of them. Take away the ones that go, then count what is left.
- Start with 8. Count all the things first.8 in all
- Take away 3. Cross out the ones that are taken away.8 − 3
- Count what is left. Count only the ones that are not crossed out.5 left
- Write the answer. 5
Check. Add them back: 5 + 3 = 8. ✓
Watch out. Count only what is left. Do not count the crossed out ones.
Key words. Take away means some are removed. The sign − means take away.
Method. Start with all of them. Take away the ones that go, then count what is left.
- Start with 6. Count all the things first.6 in all
- Take away 2. Cross out the ones that are taken away.6 − 2
- Count what is left. Count only the ones that are not crossed out.4 left
- Write the answer. 4
Check. Add them back: 4 + 2 = 6. ✓
Watch out. Count only what is left. Do not count the crossed out ones.
Key words. Take away means some are removed. The sign − means take away.
Method. Start with all of them. Take away the ones that go, then count what is left.
- Start with 9. Count all the things first.9 in all
- Take away 4. Cross out the ones that are taken away.9 − 4
- Count what is left. Count only the ones that are not crossed out.5 left
- Write the answer. 5
Check. Add them back: 5 + 4 = 9. ✓
Watch out. Count only what is left. Do not count the crossed out ones.
Method. Take away all five and count what is left.
- Start with 5. Count all the things.5
- Take away 5. All the things are taken away.5 − 5
- Count what is left. Nothing is left.0
- Write the answer. No. 5 take away 5 leaves 0.
Check. Add them back: 0 + 5 = 5. ✓
Watch out. If everything is taken away, zero is left.
Counting back on a number track
Ravi is on number 8 on a track. He goes back 3 steps. He counts back: 7, 6, 5.
Counting back means going down one number at a time. Start with the number you have. Say each number as you go down. The last number you say is the answer.
Key ideas
- Start at the bigger number.
- Count back one number at a time.
- The last number you say is the answer.
Key words. Count back means count down, one number at a time.
Method. Start at 8 and count back 3. The number you reach is the answer.
- Start at 8. Start with the number you have.8
- Count back 3. Each number is one less than the one before.7, 6, 5
- Look at the last number you said. It is the answer.5
- Write the answer. 5
Check. Count on 3 from 5: you reach 8. ✓
Watch out. Count back one at a time. Do not count the starting number again.
Key words. Count back means count down, one number at a time.
Method. Start at 6 and count back 2. The number you reach is the answer.
- Start at 6. Start with the number you have.6
- Count back 2. Each number is one less than the one before.5, 4
- Look at the last number you said. It is the answer.4
- Write the answer. 4
Check. Count on 2 from 4: you reach 6. ✓
Watch out. Count back one at a time. Do not count the starting number again.
Key words. Count back means count down, one number at a time.
Method. Start at 9 and count back 4. The number you reach is the answer.
- Start at 9. Start with the number you have.9
- Count back 4. Each number is one less than the one before.8, 7, 6, 5
- Look at the last number you said. It is the answer.5
- Write the answer. 5
Check. Count on 4 from 5: you reach 9. ✓
Watch out. Count back one at a time. Do not count the starting number again.
Watch out
Watch out: count back one at a time. Do not jump two numbers, and do not count the start number again.
Exam tip
Grown-up tip. Walk down a row of steps, saying each number as you go. Then ask: “Which step are you on now?”
Exercise 6B Counting back
Non-calculatorKey words. Count back means count down, one number at a time.
Method. Start at 8 and count back 3. The number you reach is the answer.
- Start at 8. Start with the number you have.8
- Count back 3. Each number is one less than the one before.7, 6, 5
- Look at the last number you said. It is the answer.5
- Write the answer. 5
Check. Count on 3 from 5: you reach 8. ✓
Watch out. Count back one at a time. Do not count the starting number again.
Key words. Count back means count down, one number at a time.
Method. Start at 6 and count back 2. The number you reach is the answer.
- Start at 6. Start with the number you have.6
- Count back 2. Each number is one less than the one before.5, 4
- Look at the last number you said. It is the answer.4
- Write the answer. 4
Check. Count on 2 from 4: you reach 6. ✓
Watch out. Count back one at a time. Do not count the starting number again.
Key words. Count back means count down, one number at a time.
Method. Start at 9 and count back 4. The number you reach is the answer.
- Start at 9. Start with the number you have.9
- Count back 4. Each number is one less than the one before.8, 7, 6, 5
- Look at the last number you said. It is the answer.5
- Write the answer. 5
Check. Count on 4 from 5: you reach 9. ✓
Watch out. Count back one at a time. Do not count the starting number again.
Key words. Count back means count down, one number at a time.
Method. Start at 10 and count back 3. The number you reach is the answer.
- Start at 10. Start with the number you have.10
- Count back 3. Each number is one less than the one before.9, 8, 7
- Look at the last number you said. It is the answer.7
- Write the answer. 7
Check. Count on 3 from 7: you reach 10. ✓
Watch out. Count back one at a time. Do not count the starting number again.
Key words. Count back means count down, one number at a time.
Method. Start at 5 and count back 1. The number you reach is the answer.
- Start at 5. Start with the number you have.5
- Count back 1. Each number is one less than the one before.4
- Look at the last number you said. It is the answer.4
- Write the answer. 4
Check. Count on 1 from 4: you reach 5. ✓
Watch out. Count back one at a time. Do not count the starting number again.
Key words. Count back means count down, one number at a time.
Method. Start at 7 and count back 7. The number you reach is the answer.
- Start at 7. Start with the number you have.7
- Count back 7. Each number is one less than the one before.6, 5, 4, 3, 2, 1, 0
- Look at the last number you said. It is the answer.0
- Write the answer. 0
Check. Count on 7 from 0: you reach 7. ✓
Watch out. Count back one at a time. Do not count the starting number again.
Method. Count back from 9 to 6. Each number is one less than the one before.
- Start at 9. Start with the biggest number.9
- Count back to 6. Say each number, one less each time.9, 8, 7, 6
- Write the numbers. Include the first and last numbers.9, 8, 7, 6
Check. Count on from 6 to 9 to check. ✓
Watch out. Do not skip a number when you count back.
Key words. Count back means count down, one number at a time.
Method. Start at 10 and count back 4. The number you reach is the answer.
- Start at 10. Start with the number you have.10
- Count back 4. Each number is one less than the one before.9, 8, 7, 6
- Look at the last number you said. It is the answer.6
- Write the answer. 6
Check. Count on 4 from 6: you reach 10. ✓
Watch out. Count back one at a time. Do not count the starting number again.
Key words. Count back means count down, one number at a time.
Method. Start at 8 and count back 5. The number you reach is the answer.
- Start at 8. Start with the number you have.8
- Count back 5. Each number is one less than the one before.7, 6, 5, 4, 3
- Look at the last number you said. It is the answer.3
- Write the answer. 3
Check. Count on 5 from 3: you reach 8. ✓
Watch out. Count back one at a time. Do not count the starting number again.
Key words. Count back means count down, one number at a time.
Method. Start at 10 and count back 6. The number you reach is the answer.
- Start at 10. Start with the number you have.10
- Count back 6. Each number is one less than the one before.9, 8, 7, 6, 5, 4
- Look at the last number you said. It is the answer.4
- Write the answer. 4
Check. Count on 6 from 4: you reach 10. ✓
Watch out. Count back one at a time. Do not count the starting number again.
Key words. Count back means count down, one number at a time.
Method. Start at 7 and count back 3. The number you reach is the answer.
- Start at 7. Start with the number you have.7
- Count back 3. Each number is one less than the one before.6, 5, 4
- Look at the last number you said. It is the answer.4
- Write the answer. 4
Check. Count on 3 from 4: you reach 7. ✓
Watch out. Count back one at a time. Do not count the starting number again.
Key words. Count back means count down, one number at a time.
Method. Start at 9 and count back 2. The number you reach is the answer.
- Start at 9. Start with the number you have.9
- Count back 2. Each number is one less than the one before.8, 7
- Look at the last number you said. It is the answer.7
- Write the answer. 7
Check. Count on 2 from 7: you reach 9. ✓
Watch out. Count back one at a time. Do not count the starting number again.
Method. Count back one from 4 and say the number you reach.
- Start at 4. The number we start with.4
- Count back 1. Counting back goes down, so the number gets smaller.3
- Write the answer. No. Counting back makes the number smaller: 4 − 1 = 3.
Check. Add back: 3 + 1 = 4. ✓
Watch out. Counting back goes down the track, not up.
The minus sign and number sentences
Jack writes a sum to show what happened. He had 5 cubes. He took 2 away. He has 3 left.
He writes 5 − 2 = 3. The minus sign − means take away. The equals sign = means is the same as.
Key ideas
- − means take away.
- = means is the same as.
- Read the sentence: five take away two is the same as three.
Key words. The minus sign − means take away.
Method. Write the first number, the minus sign, the second number, the equals sign and the answer.
- Write the first number. This is the number we start with.5
- Add the minus sign and the number taken away. The minus sign means take away.5 − 2
- Add the equals sign and the answer. The equals sign means is the same as.5 − 2 = 3
- Write the answer. 5 − 2 = 3
Check. Check by adding back: 3 + 2 = 5. ✓
Watch out. Write the minus sign between the two numbers, not a plus sign.
Key words. The minus sign − means take away.
Method. Write the first number, the minus sign, the second number, the equals sign and the answer.
- Write the first number. This is the number we start with.9
- Add the minus sign and the number taken away. The minus sign means take away.9 − 4
- Add the equals sign and the answer. The equals sign means is the same as.9 − 4 = 5
- Write the answer. 9 − 4 = 5
Check. Check by adding back: 5 + 4 = 9. ✓
Watch out. Write the minus sign between the two numbers, not a plus sign.
Key words. Take away means some are removed. The sign − means take away.
Method. Start with all of them. Take away the ones that go, then count what is left.
- Start with 6. Count all the things first.6 in all
- Take away 1. Cross out the ones that are taken away.6 − 1
- Count what is left. Count only the ones that are not crossed out.5 left
- Write the answer. 5
Check. Add them back: 5 + 1 = 6. ✓
Watch out. Count only what is left. Do not count the crossed out ones.
Watch out
Watch out: the minus sign means take away. Do not write a plus sign by mistake.
Exam tip
Grown-up tip. Write the number sentence on paper with a big minus sign. Read it aloud together: “Five take away two is the same as three.”
Exercise 6C Number sentences with minus
Non-calculatorKey words. The minus sign − means take away.
Method. Write the first number, the minus sign, the second number, the equals sign and the answer.
- Write the first number. This is the number we start with.5
- Add the minus sign and the number taken away. The minus sign means take away.5 − 2
- Add the equals sign and the answer. The equals sign means is the same as.5 − 2 = 3
- Write the answer. 5 − 2 = 3
Check. Check by adding back: 3 + 2 = 5. ✓
Watch out. Write the minus sign between the two numbers, not a plus sign.
Key words. The minus sign − means take away.
Method. Write the first number, the minus sign, the second number, the equals sign and the answer.
- Write the first number. This is the number we start with.9
- Add the minus sign and the number taken away. The minus sign means take away.9 − 4
- Add the equals sign and the answer. The equals sign means is the same as.9 − 4 = 5
- Write the answer. 9 − 4 = 5
Check. Check by adding back: 5 + 4 = 9. ✓
Watch out. Write the minus sign between the two numbers, not a plus sign.
Key words. Take away means some are removed. The sign − means take away.
Method. Start with all of them. Take away the ones that go, then count what is left.
- Start with 6. Count all the things first.6 in all
- Take away 1. Cross out the ones that are taken away.6 − 1
- Count what is left. Count only the ones that are not crossed out.5 left
- Write the answer. 5
Check. Add them back: 5 + 1 = 6. ✓
Watch out. Count only what is left. Do not count the crossed out ones.
Key words. Take away means some are removed. The sign − means take away.
Method. Start with all of them. Take away the ones that go, then count what is left.
- Start with 8. Count all the things first.8 in all
- Take away 3. Cross out the ones that are taken away.8 − 3
- Count what is left. Count only the ones that are not crossed out.5 left
- Write the answer. 5
Check. Add them back: 5 + 3 = 8. ✓
Watch out. Count only what is left. Do not count the crossed out ones.
Method. The minus sign tells us to take something away.
- Look at the sign. It is the minus sign, −.−
- Think about what it does. It means take away.take away
- Write the answer. Take away
Check. In 5 − 2, we take 2 away from 5. ✓
Watch out. The minus sign does not mean add.
Method. The equals sign shows that both sides are the same.
- Look at the sign. It is the equals sign, =.=
- Think about what it shows. Both sides have the same number.same number
- Write the answer. Is the same as
Check. 5 − 2 = 3 means 5 take away 2 is the same as 3. ✓
Watch out. The equals sign tells you the answer is the same.
Key words. The minus sign − means take away.
Method. Write the first number, the minus sign, the second number, the equals sign and the answer.
- Write the first number. This is the number we start with.10
- Add the minus sign and the number taken away. The minus sign means take away.10 − 4
- Add the equals sign and the answer. The equals sign means is the same as.10 − 4 = 6
- Write the answer. 10 − 4 = 6
Check. Check by adding back: 6 + 4 = 10. ✓
Watch out. Write the minus sign between the two numbers, not a plus sign.
Method. Start at 7. Count back until you reach 4. The number of steps is the missing number.
- Start at 7. That is the number we start with.7
- Count back to 4. Count each step as you go down.6, 5, 4
- Count the steps. The number of steps is the missing number.3 steps
- Write the answer. 3
Check. Check: 4 + 3 = 7. ✓
Watch out. Count the steps, not the numbers you say.
Method. Work out 8 − 3 again, carefully.
- Start with 8. Count all the things first.8
- Take away 3. Count what is left.8 − 3
- Compare with the sentence. The sentence said 4. The answer is 5.4 is not right
- Write the correct sentence. 8 − 3 = 5
Check. Check: 5 + 3 = 8. ✓
Watch out. Check the answer by adding back.
Method. Work out 6 − 2 again, carefully.
- Start with 6. Count all the things first.6
- Take away 2. Count what is left.6 − 2
- Compare with the sentence. The sentence said 3. The answer is 4.3 is not right
- Write the correct sentence. 6 − 2 = 4
Check. Check: 4 + 2 = 6. ✓
Watch out. Check the answer by adding back.
Method. Start at 9. Count back until you reach 6. The number of steps is the missing number.
- Start at 9. That is the number we start with.9
- Count back to 6. Count each step as you go down.8, 7, 6
- Count the steps. The number of steps is the missing number.3 steps
- Write the answer. 3
Check. Check: 6 + 3 = 9. ✓
Watch out. Count the steps, not the numbers you say.
Method. Think about how much is taken away in each sentence.
- Take away 2 from 7. Count what is left: 5.7 − 2 = 5
- Take away 5 from 7. Count what is left: 2.7 − 5 = 2
- Write the answer. Accept any answer: taking away 2 leaves 5, and taking away 5 leaves 2.
Check. Add back: 5 + 2 = 7 and 2 + 5 = 7. ✓
Watch out. The number taken away changes the answer.
Finding the missing number
Lily had 8 cubes. Now she has 5 cubes. Some were taken away. How many?
Start at 8. Count back until you reach 5. The number of steps is how many were taken away: 3.
Key ideas
- Start at the number you had at the start.
- Count back until you reach what is left.
- The number of steps is the missing number.
Method. Start at 8. Count back until you reach 5. The number of steps is the missing number.
- Start at 8. That is the number we start with.8
- Count back to 5. Count each step as you go down.7, 6, 5
- Count the steps. The number of steps is the missing number.3 steps
- Write the answer. 3
Check. Check: 5 + 3 = 8. ✓
Watch out. Count the steps, not the numbers you say.
Method. Start at 9. Count back until you reach 6. The number of steps is the missing number.
- Start at 9. That is the number we start with.9
- Count back to 6. Count each step as you go down.8, 7, 6
- Count the steps. The number of steps is the missing number.3 steps
- Write the answer. 3
Check. Check: 6 + 3 = 9. ✓
Watch out. Count the steps, not the numbers you say.
Method. Start at 7. Count back until you reach 2. The number of steps is the missing number.
- Start at 7. That is the number we start with.7
- Count back to 2. Count each step as you go down.6, 5, 4, 3, 2
- Count the steps. The number of steps is the missing number.5 steps
- Write the answer. 5
Check. Check: 2 + 5 = 7. ✓
Watch out. Count the steps, not the numbers you say.
Watch out
Watch out: count the steps, not the numbers you say. Three steps down from 8 gives 5.
Exam tip
Grown-up tip. Hide some cubes under a cloth. Ask: “How many did I hide? How do you know?” Then count them to check.
Exercise 6D Missing numbers in take-away
Non-calculatorMethod. Start at 7. Count back until you reach 4. The number of steps is the missing number.
- Start at 7. That is the number we start with.7
- Count back to 4. Count each step as you go down.6, 5, 4
- Count the steps. The number of steps is the missing number.3 steps
- Write the answer. 3
Check. Check: 4 + 3 = 7. ✓
Watch out. Count the steps, not the numbers you say.
Method. Start at 5. Count back until you reach 2. The number of steps is the missing number.
- Start at 5. That is the number we start with.5
- Count back to 2. Count each step as you go down.4, 3, 2
- Count the steps. The number of steps is the missing number.3 steps
- Write the answer. 3
Check. Check: 2 + 3 = 5. ✓
Watch out. Count the steps, not the numbers you say.
Method. Start at 9. Count back until you reach 5. The number of steps is the missing number.
- Start at 9. That is the number we start with.9
- Count back to 5. Count each step as you go down.8, 7, 6, 5
- Count the steps. The number of steps is the missing number.4 steps
- Write the answer. 4
Check. Check: 5 + 4 = 9. ✓
Watch out. Count the steps, not the numbers you say.
Method. Start at 6. Count back until you reach 6. The number of steps is the missing number.
- Start at 6. That is the number we start with.6
- Count back to 6. Count each step as you go down.no steps
- Count the steps. The number of steps is the missing number.0 steps
- Write the answer. 0
Check. Check: 6 + 0 = 6. ✓
Watch out. Count the steps, not the numbers you say.
Method. Start at 10. Count back until you reach 7. The number of steps is the missing number.
- Start at 10. That is the number we start with.10
- Count back to 7. Count each step as you go down.9, 8, 7
- Count the steps. The number of steps is the missing number.3 steps
- Write the answer. 3
Check. Check: 7 + 3 = 10. ✓
Watch out. Count the steps, not the numbers you say.
Method. Start at 8. Count back until you reach 1. The number of steps is the missing number.
- Start at 8. That is the number we start with.8
- Count back to 1. Count each step as you go down.7, 6, 5, 4, 3, 2, 1
- Count the steps. The number of steps is the missing number.7 steps
- Write the answer. 7
Check. Check: 1 + 7 = 8. ✓
Watch out. Count the steps, not the numbers you say.
Method. Start at 8. Count back until you reach 3. The number of steps is the missing number.
- Start at 8. That is the number we start with.8
- Count back to 3. Count each step as you go down.7, 6, 5, 4, 3
- Count the steps. The number of steps is the missing number.5 steps
- Write the answer. 5
Check. Check: 3 + 5 = 8. ✓
Watch out. Count the steps, not the numbers you say.
Method. Start at 4. Count back until you reach 0. The number of steps is the missing number.
- Start at 4. That is the number we start with.4
- Count back to 0. Count each step as you go down.3, 2, 1, 0
- Count the steps. The number of steps is the missing number.4 steps
- Write the answer. 4
Check. Check: 0 + 4 = 4. ✓
Watch out. Count the steps, not the numbers you say.
Method. Start at 10. Count back until you reach 4. The number of steps is the missing number.
- Start at 10. That is the number we start with.10
- Count back to 4. Count each step as you go down.9, 8, 7, 6, 5, 4
- Count the steps. The number of steps is the missing number.6 steps
- Write the answer. 6
Check. Check: 4 + 6 = 10. ✓
Watch out. Count the steps, not the numbers you say.
Method. Start at 7. Count back until you reach 2. The number of steps is the missing number.
- Start at 7. That is the number we start with.7
- Count back to 2. Count each step as you go down.6, 5, 4, 3, 2
- Count the steps. The number of steps is the missing number.5 steps
- Write the answer. 5
Check. Check: 2 + 5 = 7. ✓
Watch out. Count the steps, not the numbers you say.
Method. Start at 9. Count back until you reach 3. The number of steps is the missing number.
- Start at 9. That is the number we start with.9
- Count back to 3. Count each step as you go down.8, 7, 6, 5, 4, 3
- Count the steps. The number of steps is the missing number.6 steps
- Write the answer. 6
Check. Check: 3 + 6 = 9. ✓
Watch out. Count the steps, not the numbers you say.
Method. Add the number taken away to the answer. You should get the start.
- Look at the answer. The answer is 3.3
- Add the number taken away. Add back the 6 that was taken away.3 + 6
- Check the total. The total is the start number.3 + 6 = 9
- Write the answer. Accept any answer: 3 + 6 = 9, so 9 − 6 = 3 is right.
Check. 9 − 6 = 3, and 3 + 6 = 9. ✓
Watch out. Adding back should give the start number.
Stories and checking
There are 9 fish in a tank. 4 swim away behind the rocks. How many fish are still in the tank?
Take away 4 from 9. Then check your answer by adding the 4 back. Do you get 9?
Key ideas
- Read the story and find the number taken away.
- Take away, then count what is left.
- Check by adding back.
Key words. Take away means some are removed. The sign − means take away.
Method. Start with all of them. Take away the ones that go, then count what is left.
- Start with 9. Count all the things first.9 in all
- Take away 4. Cross out the ones that are taken away.9 − 4
- Count what is left. Count only the ones that are not crossed out.5 left
- Write the answer. 5
Check. Add them back: 5 + 4 = 9. ✓
Watch out. Count only what is left. Do not count the crossed out ones.
Method. Check your answer by adding the take-away number back on.
- Find the answer: 7 − 2. Take away and count what is left.5
- Add the number taken away. If you added it back, you should get the start again.5 + 2 = 7
- Write the answer. 5
Check. The check works: 5 + 2 = 7. ✓
Watch out. If the check does not give the start number, count again.
Key words. Take away means some are removed. The sign − means take away.
Method. Start with all of them. Take away the ones that go, then count what is left.
- Start with 10. Count all the things first.10 in all
- Take away 6. Cross out the ones that are taken away.10 − 6
- Count what is left. Count only the ones that are not crossed out.4 left
- Write the answer. 4
Check. Add them back: 4 + 6 = 10. ✓
Watch out. Count only what is left. Do not count the crossed out ones.
Watch out
Watch out: a story may use words like “gone”, “away” or “eaten”. These all mean take away.
Exam tip
Grown-up tip. Make up short stories with toys. Ask: “How many went away? How many are left?” Then count the toys that are left to check.
Exercise 6E Stories and checking
Non-calculatorKey words. Take away means some are removed. The sign − means take away.
Method. Start with all of them. Take away the ones that go, then count what is left.
- Start with 9. Count all the things first.9 in all
- Take away 3. Cross out the ones that are taken away.9 − 3
- Count what is left. Count only the ones that are not crossed out.6 left
- Write the answer. 6
Check. Add them back: 6 + 3 = 9. ✓
Watch out. Count only what is left. Do not count the crossed out ones.
Key words. Take away means some are removed. The sign − means take away.
Method. Start with all of them. Take away the ones that go, then count what is left.
- Start with 10. Count all the things first.10 in all
- Take away 5. Cross out the ones that are taken away.10 − 5
- Count what is left. Count only the ones that are not crossed out.5 left
- Write the answer. 5
Check. Add them back: 5 + 5 = 10. ✓
Watch out. Count only what is left. Do not count the crossed out ones.
Key words. Take away means some are removed. The sign − means take away.
Method. Start with all of them. Take away the ones that go, then count what is left.
- Start with 8. Count all the things first.8 in all
- Take away 0. Cross out the ones that are taken away.8 − 0
- Count what is left. Count only the ones that are not crossed out.8 left
- Write the answer. 8
Check. Add them back: 8 + 0 = 8. ✓
Watch out. Count only what is left. Do not count the crossed out ones.
Key words. Take away means some are removed. The sign − means take away.
Method. Start with all of them. Take away the ones that go, then count what is left.
- Start with 6. Count all the things first.6 in all
- Take away 4. Cross out the ones that are taken away.6 − 4
- Count what is left. Count only the ones that are not crossed out.2 left
- Write the answer. 2
Check. Add them back: 2 + 4 = 6. ✓
Watch out. Count only what is left. Do not count the crossed out ones.
Key words. Take away means some are removed. The sign − means take away.
Method. Start with all of them. Take away the ones that go, then count what is left.
- Start with 5. Count all the things first.5 in all
- Take away 3. Cross out the ones that are taken away.5 − 3
- Count what is left. Count only the ones that are not crossed out.2 left
- Write the answer. 2
Check. Add them back: 2 + 3 = 5. ✓
Watch out. Count only what is left. Do not count the crossed out ones.
Key words. Take away means some are removed. The sign − means take away.
Method. Start with all of them. Take away the ones that go, then count what is left.
- Start with 9. Count all the things first.9 in all
- Take away 1. Cross out the ones that are taken away.9 − 1
- Count what is left. Count only the ones that are not crossed out.8 left
- Write the answer. 8
Check. Add them back: 8 + 1 = 9. ✓
Watch out. Count only what is left. Do not count the crossed out ones.
Method. Use the addition fact to find the take-away answer.
- Look at 4 + 3 = 7. Three was added to 4 to make 7.4 + 3 = 7
- Take 3 away from 7. Taking away the 3 leaves the 4.7 − 3 = 4
- Write the answer. 4
Check. Add back: 4 + 3 = 7. ✓
Watch out. The addition fact helps you check take away.
Method. Use the addition fact to find the take-away answer.
- Look at 2 + 5 = 7. Two was added to 5 to make 7.2 + 5 = 7
- Take 2 away from 7. Taking away the 2 leaves the 5.7 − 2 = 5
- Write the answer. 5
Check. Add back: 5 + 2 = 7. ✓
Watch out. The addition fact helps you check take away.
Key words. Take away means some are removed. The sign − means take away.
Method. Start with all of them. Take away the ones that go, then count what is left.
- Start with 9. Count all the things first.9 in all
- Take away 4. Cross out the ones that are taken away.9 − 4
- Count what is left. Count only the ones that are not crossed out.5 left
- Write the answer. 5
Check. Add them back: 5 + 4 = 9. ✓
Watch out. Count only what is left. Do not count the crossed out ones.
Key words. Take away means some are removed. The sign − means take away.
Method. Start with all of them. Take away the ones that go, then count what is left.
- Start with 6. Count all the things first.6 in all
- Take away 1. Cross out the ones that are taken away.6 − 1
- Count what is left. Count only the ones that are not crossed out.5 left
- Write the answer. 5
Check. Add them back: 5 + 1 = 6. ✓
Watch out. Count only what is left. Do not count the crossed out ones.
Key words. Take away means some are removed. The sign − means take away.
Method. Start with all of them. Take away the ones that go, then count what is left.
- Start with 10. Count all the things first.10 in all
- Take away 6. Cross out the ones that are taken away.10 − 6
- Count what is left. Count only the ones that are not crossed out.4 left
- Write the answer. 4
Check. Add them back: 4 + 6 = 10. ✓
Watch out. Count only what is left. Do not count the crossed out ones.
Method. Count back from 8 until you reach 3. Count the steps.
- Start at 8. That is how many apples she started with.8
- Count back to 3. Count each step as you go down.7, 6, 5, 4, 3
- Count the steps. The number of steps is how many she ate.5 steps
- Write the answer. 5 apples. I counted back from 8 to 3, which is 5 steps.
Check. Check: 3 + 5 = 8. ✓
Watch out. Count back until you reach what is left.
Chapter summary
| Skill | Method |
|---|---|
| Take away | Cross out the ones taken away, then count what is left. |
| Count back | Start at the number you have and count down one at a time. |
| Minus sign | The sign − means take away: 5 − 2 = 3. |
| Missing number | Count back from the start to what is left. The steps are the missing number. |
| Check | Add the number taken away back on. You should get the start number. |
Can you…?
- I can take away from a group and count what is left
- I can count back to take away on a number track
- I can write a number sentence with the minus sign and the equals sign
- I can find the missing number when some are taken away
- I can check my answer by adding back
Key terms
- take away
- remove some things from a group
- count back
- go down, one number at a time
- minus sign
- the sign − that means take away
- left
- what is still there after some are taken away
- check
- use the opposite sum to see if an answer is right
Exercise 6Z Check-up
Non-calculatorKey words. Take away means some are removed. The sign − means take away.
Method. Start with all of them. Take away the ones that go, then count what is left.
- Start with 6. Count all the things first.6 in all
- Take away 2. Cross out the ones that are taken away.6 − 2
- Count what is left. Count only the ones that are not crossed out.4 left
- Write the answer. 4
Check. Add them back: 4 + 2 = 6. ✓
Watch out. Count only what is left. Do not count the crossed out ones.
Key words. Count back means count down, one number at a time.
Method. Start at 9 and count back 2. The number you reach is the answer.
- Start at 9. Start with the number you have.9
- Count back 2. Each number is one less than the one before.8, 7
- Look at the last number you said. It is the answer.7
- Write the answer. 7
Check. Count on 2 from 7: you reach 9. ✓
Watch out. Count back one at a time. Do not count the starting number again.
Key words. The minus sign − means take away.
Method. Write the first number, the minus sign, the second number, the equals sign and the answer.
- Write the first number. This is the number we start with.8
- Add the minus sign and the number taken away. The minus sign means take away.8 − 3
- Add the equals sign and the answer. The equals sign means is the same as.8 − 3 = 5
- Write the answer. 8 − 3 = 5
Check. Check by adding back: 5 + 3 = 8. ✓
Watch out. Write the minus sign between the two numbers, not a plus sign.
Key words. Take away means some are removed. The sign − means take away.
Method. Start with all of them. Take away the ones that go, then count what is left.
- Start with 10. Count all the things first.10 in all
- Take away 4. Cross out the ones that are taken away.10 − 4
- Count what is left. Count only the ones that are not crossed out.6 left
- Write the answer. 6
Check. Add them back: 6 + 4 = 10. ✓
Watch out. Count only what is left. Do not count the crossed out ones.
Method. Start at 7. Count back until you reach 5. The number of steps is the missing number.
- Start at 7. That is the number we start with.7
- Count back to 5. Count each step as you go down.6, 5
- Count the steps. The number of steps is the missing number.2 steps
- Write the answer. 2
Check. Check: 5 + 2 = 7. ✓
Watch out. Count the steps, not the numbers you say.
Method. Count back from 10 to 7. Each number is one less than the one before.
- Start at 10. Start with the biggest number.10
- Count back to 7. Say each number, one less each time.10, 9, 8, 7
- Write the numbers. Include the first and last numbers.10, 9, 8, 7
Check. Count on from 7 to 10 to check. ✓
Watch out. Do not skip a number when you count back.
Method. The minus sign tells us to take away.
- Look at the sign. It is −.−
- Think about what it means. Some things are removed.take away
- Write the answer. Take away
Check. In 4 − 1, we take 1 away from 4. ✓
Watch out. The minus sign does not mean add.
Method. Check your answer by adding the take-away number back on.
- Find the answer: 9 − 6. Take away and count what is left.3
- Add the number taken away. If you added it back, you should get the start again.3 + 6 = 9
- Write the answer. 3
Check. The check works: 3 + 6 = 9. ✓
Watch out. If the check does not give the start number, count again.
Key words. Take away means some are removed. The sign − means take away.
Method. Start with all of them. Take away the ones that go, then count what is left.
- Start with 8. Count all the things first.8 in all
- Take away 5. Cross out the ones that are taken away.8 − 5
- Count what is left. Count only the ones that are not crossed out.3 left
- Write the answer. 3
Check. Add them back: 3 + 5 = 8. ✓
Watch out. Count only what is left. Do not count the crossed out ones.
Method. Add the number taken away to the answer.
- Look at the answer, 7. That is what is left.7
- Add back the 3. Adding back should give the start.7 + 3
- Check the total. The total is 10, the start number.7 + 3 = 10
- Write the answer. Accept any answer: 7 + 3 = 10, so 10 − 3 = 7 is right.
Check. Adding back gives the start number. ✓
Watch out. Check by adding back.
Total 22 marks. Allow about 22 minutes.
Exercise 6X Practice test questions
Non-calculatorKey words. Take away means some are removed. The sign − means take away.
Method. Start with all of them. Take away the ones that go, then count what is left.
- Start with 7. Count all the things first.7 in all
- Take away 2. Cross out the ones that are taken away.7 − 2
- Count what is left. Count only the ones that are not crossed out.5 left
- Write the answer. 5
Check. Add them back: 5 + 2 = 7. ✓
Watch out. Count only what is left. Do not count the crossed out ones.
Key words. The minus sign − means take away.
Method. Write the first number, the minus sign, the second number, the equals sign and the answer.
- Write the first number. This is the number we start with.6
- Add the minus sign and the number taken away. The minus sign means take away.6 − 1
- Add the equals sign and the answer. The equals sign means is the same as.6 − 1 = 5
- Write the answer. 6 − 1 = 5
Check. Check by adding back: 5 + 1 = 6. ✓
Watch out. Write the minus sign between the two numbers, not a plus sign.
Method. Start at 10. Count back until you reach 6. The number of steps is the missing number.
- Start at 10. That is the number we start with.10
- Count back to 6. Count each step as you go down.9, 8, 7, 6
- Count the steps. The number of steps is the missing number.4 steps
- Write the answer. 4
Check. Check: 6 + 4 = 10. ✓
Watch out. Count the steps, not the numbers you say.
Method. Use the addition fact to find the take-away answer.
- Look at 5 + 2 = 7. Two was added to 5 to make 7.5 + 2 = 7
- Take 5 away from 7. Taking away the 5 leaves the 2.7 − 5 = 2
- Write the answer. 2
Check. Add back: 2 + 5 = 7. ✓
Watch out. The addition fact helps you check take away.
Key words. The minus sign − means take away.
Method. Write the first number, the minus sign, the second number, the equals sign and the answer.
- Write the first number. This is the number we start with.9
- Add the minus sign and the number taken away. The minus sign means take away.9 − 4
- Add the equals sign and the answer. The equals sign means is the same as.9 − 4 = 5
- Write the answer. 9 − 4 = 5
Check. Check by adding back: 5 + 4 = 9. ✓
Watch out. Write the minus sign between the two numbers, not a plus sign.
Key words. Take away means some are removed. The sign − means take away.
Method. Start with all of them. Take away the ones that go, then count what is left.
- Start with 6. Count all the things first.6 in all
- Take away 2. Cross out the ones that are taken away.6 − 2
- Count what is left. Count only the ones that are not crossed out.4 left
- Write the answer. 4
Check. Add them back: 4 + 2 = 6. ✓
Watch out. Count only what is left. Do not count the crossed out ones.
Method. Count back 3 from 8 and check by adding.
- Start at 8. That is the number we start with.8
- Count back 3. Count each step down.7, 6, 5
- Check by adding. Five and three make 8.5 + 3 = 8
- Write the answer. No. 8 − 3 = 5. Five and three make 8.
Check. Count back 3 from 8: you reach 5. ✓
Watch out. Check by adding back the number taken away.
Method. Count back from 10 to 6, then check by adding.
- Start at 10. That is how many pencils she started with.10
- Count back to 6. Count each step down.9, 8, 7, 6
- Count the steps. Four steps were taken away.4
- Write the answer. 4. Check: 6 + 4 = 10.
Check. 6 + 4 = 10, the start number. ✓
Watch out. Count the steps, not the numbers.
Method. Start at the number you have and count down.
- Start at the bigger number. That is what you start with.7
- Count back. Say each number one less each time.6, 5
- Say the last number. That is the answer.5
- Write the answer. Accept any answer: start at the bigger number, count back the number taken away, and say the last number.
Check. 7 take away 2 is 5. ✓
Watch out. Count back one at a time.
Method. Take away 3 from 5 and count what is left.
- Start with 5. That is how many cubes Lily has.5
- Take away 3. Cross out 3 cubes.5 − 3
- Count what is left. Count the cubes that are not crossed out.1, 2
- Write the answer. 2. Five take away three leaves two, because 2 + 3 = 5.
Check. Add back: 2 + 3 = 5. ✓
Watch out. Count only what is left.