Adding within 10
By the end of this chapter you will be able to
- Say what the plus and equals signs mean
- Add two numbers to make a total up to 10
- Count on from the bigger number to add
- Write the answer in a sum
- Add three numbers in a row, one step at a time
You should already know
- Bonds to 10 (Chapter 5)
- Counting on along a number line (Chapter 2)
Where this leads
- Taking away within 10 (Level 1, Chapter 7)
Step-by-step practice: maths (Level 1). Small steps, repeated until fluent. Content: Understand that + means put together and = means the same as, Add two numbers with a total of up to 10 by counting on from the bigger number, Write the answer in a sum, Add three small numbers one step at a time.
Exercise P Do you remember?
Non-calculatorMethod. Count on from 4 to 10.
- Start at 4. It is the part we know.4
- Count on to 10. Count on: 5, 6, 7, 8, 9, 10.6 steps
- Write the answer. We counted on 6, so the missing part is 6.6
Check. 4 + 6 = 10. It works.
Watch out. Count on from the known part to the whole.
Method. Count on from 7 to 10.
- Start at 7. It is the part we know.7
- Count on to 10. Count on: 8, 9, 10.3 steps
- Write the answer. 3
Check. 7 + 3 = 10. It works.
Watch out. Count on from the known part to the whole.
Method. Start at 3 and count on 2.
- Start at 3. Use the bigger number first.3
- Count on 2. Four, five.4, 5
- Write the answer. 5
Check. 2 + 3 = 5 is also 3 + 2 = 5.
Watch out. Count on from the bigger number.
Method. Look at the number line. Count to 6.
- Find the orange dot. The dot is on 6.6
- Count along to the dot. Count the marks from 0.0, 1, 2, 3, 4, 5, 6
- Write the answer. 6
Check. Count back from 6 to 0 to check.
Watch out. Start counting from 0 on a number line.
Method. The bigger number comes later when we count.
- Say both numbers. Four and eight.4 and 8
- Find the later one. 8 comes after 4.8 is bigger
- Write the answer. 8
Check. Count from 4 to 8: four steps up.
Watch out. Bigger numbers come later in the count.
What + and = mean
The plus sign (+) means put together.
The equals sign (=) means the same as. The answer is the same on both sides.
Key ideas
- + means put together.
- = means the same as.
- The answer comes after the equals sign.
Method. Put the two groups together.
- Count group A. Two stars.2
- Count group B. Four stars.4
- Put them together. Plus means put together.2 + 4 = 6
Check. Count all six stars one at a time. It matches.
Watch out. Count each group, then put the totals together.
Method. Put Ava and Ben’s balls together.
- Find Ava’s balls. Ava has one.1
- Find Ben’s balls. Ben has three.3
- Put them together. Plus means put together.1 + 3 = 4 balls
Check. Count the four balls one at a time.
Watch out. The plus sign means put together, so add the two groups.
Method. Two groups of two make four.
- Draw group A. Two things.2
- Draw group B. Two things.2
- Put them together and check. The total is the same as four.2 + 2 = 4
Check. Count all four things. The total is the same as 4.
Watch out. The equals sign shows that both sides are the same.
Watch out
Watch out. The equals sign does not mean “the answer comes next”. It means both sides are the same.
Exam tip
Grown-up tip. Use two cups with counters. Pour them into one cup, then ask: “How many altogether?”
Exercise 6A What + and = mean
Non-calculatorMethod. Put the two groups together and count all of them.
- Count group A. Touch each one once.A = 5
- Count group B. Touch each one once.B = 2
- Put them together. Plus means put together.5 + 2 = 7
- Write the answer. Equals means the same as the total.7
Check. Count all of them from one: you also get 7. ✓
Watch out. Count group A first, then add group B to the total.
Method. Put the two groups together and count all of them.
- Count group A. Touch each one once.A = 2
- Count group B. Touch each one once.B = 4
- Put them together. Plus means put together.2 + 4 = 6
- Write the answer. Equals means the same as the total.6
Check. Count all of them from one: you also get 6. ✓
Watch out. Count group A first, then add group B to the total.
Method. Put the two groups together and count all of them.
- Count group A. Touch each one once.A = 2
- Count group B. Touch each one once.B = 3
- Put them together. Plus means put together.2 + 3 = 5
- Write the answer. Equals means the same as the total.5
Check. Count all of them from one: you also get 5. ✓
Watch out. Count group A first, then add group B to the total.
Method. Put the two groups together and count all of them.
- Count group A. Touch each one once.A = 3
- Count group B. Touch each one once.B = 2
- Put them together. Plus means put together.3 + 2 = 5
- Write the answer. Equals means the same as the total.5
Check. Count all of them from one: you also get 5. ✓
Watch out. Count group A first, then add group B to the total.
Method. Put the two groups together and count all of them.
- Count group A. Touch each one once.A = 5
- Count group B. Touch each one once.B = 5
- Put them together. Plus means put together.5 + 5 = 10
- Write the answer. Equals means the same as the total.10
Check. Count all of them from one: you also get 10. ✓
Watch out. Count group A first, then add group B to the total.
Method. Put the two groups together and count all of them.
- Count group A. Touch each one once.A = 5
- Count group B. Touch each one once.B = 3
- Put them together. Plus means put together.5 + 3 = 8
- Write the answer. Equals means the same as the total.8
Check. Count all of them from one: you also get 8. ✓
Watch out. Count group A first, then add group B to the total.
Method. Put the two groups together and count all of them.
- Count group A. Touch each one once.A = 4
- Count group B. Touch each one once.B = 3
- Put them together. Plus means put together.4 + 3 = 7
- Write the answer. Equals means the same as the total.7
Check. Count all of them from one: you also get 7. ✓
Watch out. Count group A first, then add group B to the total.
Method. Put the two groups together and count all of them.
- Count group A. Touch each one once.A = 5
- Count group B. Touch each one once.B = 4
- Put them together. Plus means put together.5 + 4 = 9
- Write the answer. Equals means the same as the total.9
Check. Count all of them from one: you also get 9. ✓
Watch out. Count group A first, then add group B to the total.
Method. Put the two groups together and count all of them.
- Count group A. Touch each one once.A = 3
- Count group B. Touch each one once.B = 5
- Put them together. Plus means put together.3 + 5 = 8
- Write the answer. Equals means the same as the total.8
Check. Count all of them from one: you also get 8. ✓
Watch out. Count group A first, then add group B to the total.
Method. Put the two groups together and count all of them.
- Count group A. Touch each one once.A = 3
- Count group B. Touch each one once.B = 5
- Put them together. Plus means put together.3 + 5 = 8
- Write the answer. Equals means the same as the total.8
Check. Count all of them from one: you also get 8. ✓
Watch out. Count group A first, then add group B to the total.
Method. Put the two groups together and count all of them.
- Count group A. Touch each one once.A = 3
- Count group B. Touch each one once.B = 4
- Put them together. Plus means put together.3 + 4 = 7
- Write the answer. Equals means the same as the total.7
Check. Count all of them from one: you also get 7. ✓
Watch out. Count group A first, then add group B to the total.
Method. Put the two groups together and count all of them.
- Count group A. Touch each one once.A = 3
- Count group B. Touch each one once.B = 3
- Put them together. Plus means put together.3 + 3 = 6
- Write the answer. Equals means the same as the total.6
Check. Count all of them from one: you also get 6. ✓
Watch out. Count group A first, then add group B to the total.
Method. Put the two groups together and count all of them.
- Count group A. Touch each one once.A = 4
- Count group B. Touch each one once.B = 2
- Put them together. Plus means put together.4 + 2 = 6
- Write the answer. Equals means the same as the total.6
Check. Count all of them from one: you also get 6. ✓
Watch out. Count group A first, then add group B to the total.
Method. Put the two groups together and count all of them.
- Count group A. Touch each one once.A = 3
- Count group B. Touch each one once.B = 5
- Put them together. Plus means put together.3 + 5 = 8
- Write the answer. Equals means the same as the total.8
Check. Count all of them from one: you also get 8. ✓
Watch out. Count group A first, then add group B to the total.
Method. Put the two groups together and count all of them.
- Count group A. Touch each one once.A = 3
- Count group B. Touch each one once.B = 2
- Put them together. Plus means put together.3 + 2 = 5
- Write the answer. Equals means the same as the total.5
Check. Count all of them from one: you also get 5. ✓
Watch out. Count group A first, then add group B to the total.
Method. Put the two groups together and count all of them.
- Count group A. Ava has these.3
- Count group B. Ben has these.4
- Put them together. The plus sign means put together.3 + 4 = 7
- Write the answer. Accept any answer that says the groups are put together.The total is 7.
Check. Count all 7 cubes one at a time. ✓
Watch out. The plus sign means put together, and the equals sign means the same as.
Counting on from the bigger number
To add, start at the bigger number. Then count on the smaller number.
It is quicker than starting again from 1.
Key ideas
- Start at the bigger number.
- Count on the smaller number.
- The number you land on is the total.
Method. Put the two groups together. Start at the bigger number and count on.
- Start at the bigger number. It is quicker to count on from the bigger one.4
- Count on 3 more. We add 3 to 4.4 + 3
- Write the answer. 7
Check. Count on from the other number too. You get 7 both ways.
Watch out. Count on, do not start again from one.
Method. Put the two groups together. Start at the bigger number and count on.
- Start at the bigger number. It is quicker to count on from the bigger one.6
- Count on 2 more. We add 2 to 6.6 + 2
- Write the answer. 8
Check. Count on from the other number too. You get 8 both ways.
Watch out. Count on, do not start again from one.
Method. Start at 5 on the number line. Count on 4 jumps.
- Start at 5. The bigger number.5
- Count on 4 jumps. Each jump moves one number along.6, 7, 8, 9
- Write the answer. 9
Check. Count back 4 from 9: 8, 7, 6, 5. You are back at 5.
Watch out. Count the jumps. Do not count the starting number again.
Watch out
Watch out. Do not count the starting number again. Start at 4 and count on 3: 5, 6, 7.
Exam tip
Grown-up tip. Ask your child to hold up fingers for the smaller number, then say the bigger number and count on: “Five, six, seven.”
Exercise 6B Counting on
Non-calculatorMethod. Start at the bigger number. Count on the smaller number.
- Start at the bigger number. It is quicker to count on from the bigger one.7
- Count on 3 more. Each step moves one number along.7 + 3
- Write the answer. 10
Check. Count back 3 from 10: you land on 7. ✓
Watch out. Count on, do not start again from one.
Method. Put the two groups together. Start at the bigger number and count on.
- Start at the bigger number. It is quicker to count on from the bigger one.4
- Count on 2 more. We add 2 to 4.4 + 2
- Write the answer. 6
Check. Count on from the other number too. You get 6 both ways.
Watch out. Count on, do not start again from one.
Method. Start at the bigger number. Count on the smaller number.
- Start at the bigger number. It is quicker to count on from the bigger one.6
- Count on 4 more. Each step moves one number along.6 + 4
- Write the answer. 10
Check. Count back 4 from 10: you land on 6. ✓
Watch out. Count on, do not start again from one.
Method. Put the two groups together. Start at the bigger number and count on.
- Start at the bigger number. It is quicker to count on from the bigger one.3
- Count on 3 more. We add 3 to 3.3 + 3
- Write the answer. 6
Check. Count on from the other number too. You get 6 both ways.
Watch out. Count on, do not start again from one.
Method. Start at the bigger number. Count on the smaller number.
- Start at the bigger number. It is quicker to count on from the bigger one.4
- Count on 3 more. Each step moves one number along.4 + 3
- Write the answer. 7
Check. Count back 3 from 7: you land on 4. ✓
Watch out. Count on, do not start again from one.
Method. Put the two groups together. Start at the bigger number and count on.
- Start at the bigger number. It is quicker to count on from the bigger one.5
- Count on 3 more. We add 3 to 5.5 + 3
- Write the answer. 8
Check. Count on from the other number too. You get 8 both ways.
Watch out. Count on, do not start again from one.
Method. Start at the bigger number. Count on the smaller number.
- Start at the bigger number. It is quicker to count on from the bigger one.4
- Count on 3 more. Each step moves one number along.4 + 3
- Write the answer. 7
Check. Count back 3 from 7: you land on 4. ✓
Watch out. Count on, do not start again from one.
Method. Put the two groups together. Start at the bigger number and count on.
- Start at the bigger number. It is quicker to count on from the bigger one.4
- Count on 3 more. We add 3 to 4.4 + 3
- Write the answer. 7
Check. Count on from the other number too. You get 7 both ways.
Watch out. Count on, do not start again from one.
Method. Start at the bigger number. Count on the smaller number.
- Start at the bigger number. It is quicker to count on from the bigger one.7
- Count on 3 more. Each step moves one number along.7 + 3
- Write the answer. 10
Check. Count back 3 from 10: you land on 7. ✓
Watch out. Count on, do not start again from one.
Method. Put the two groups together. Start at the bigger number and count on.
- Start at the bigger number. It is quicker to count on from the bigger one.7
- Count on 1 more. We add 1 to 7.7 + 1
- Write the answer. 8
Check. Count on from the other number too. You get 8 both ways.
Watch out. Count on, do not start again from one.
Method. Start at the bigger number. Count on the smaller number.
- Start at the bigger number. It is quicker to count on from the bigger one.7
- Count on 2 more. Each step moves one number along.7 + 2
- Write the answer. 9
Check. Count back 2 from 9: you land on 7. ✓
Watch out. Count on, do not start again from one.
Method. Put the two groups together. Start at the bigger number and count on.
- Start at the bigger number. It is quicker to count on from the bigger one.5
- Count on 5 more. We add 5 to 5.5 + 5
- Write the answer. 10
Check. Count on from the other number too. You get 10 both ways.
Watch out. Count on, do not start again from one.
Method. Start at the bigger number. Count on the smaller number.
- Start at the bigger number. It is quicker to count on from the bigger one.5
- Count on 3 more. Each step moves one number along.5 + 3
- Write the answer. 8
Check. Count back 3 from 8: you land on 5. ✓
Watch out. Count on, do not start again from one.
Method. Put the two groups together. Start at the bigger number and count on.
- Start at the bigger number. It is quicker to count on from the bigger one.9
- Count on 1 more. We add 1 to 9.9 + 1
- Write the answer. 10
Check. Count on from the other number too. You get 10 both ways.
Watch out. Count on, do not start again from one.
Method. Start at the bigger number. Count on the smaller number.
- Start at the bigger number. It is quicker to count on from the bigger one.6
- Count on 2 more. Each step moves one number along.6 + 2
- Write the answer. 8
Check. Count back 2 from 8: you land on 6. ✓
Watch out. Count on, do not start again from one.
Method. Put the two groups together. Start at the bigger number and count on.
- Start at the bigger number. It is quicker to count on from the bigger one.9
- Count on 1 more. We add 1 to 9.9 + 1
- Write the answer. 10
Check. Count on from the other number too. You get 10 both ways.
Watch out. Count on, do not start again from one.
Writing the answer in a sum
A sum is a number sentence. It has numbers, a plus sign, an equals sign and the answer.
Work out the answer, then write it after the equals sign.
Key ideas
- A sum has a plus sign and an equals sign.
- Write the answer after the equals sign.
- The total is never more than 10 in this chapter.
Method. Put the two groups together. Start at the bigger number and count on.
- Start at the bigger number. It is quicker to count on from the bigger one.4
- Count on 3 more. We add 3 to 4.4 + 3
- Write the answer. 7
Check. Count on from the other number too. You get 7 both ways.
Watch out. Count on, do not start again from one.
Method. Put the two groups together. Start at the bigger number and count on.
- Start at the bigger number. It is quicker to count on from the bigger one.5
- Count on 5 more. We add 5 to 5.5 + 5
- Write the answer. 10
Check. Count on from the other number too. You get 10 both ways.
Watch out. Count on, do not start again from one.
Method. Put the two groups together. Start at the bigger number and count on.
- Start at the bigger number. It is quicker to count on from the bigger one.8
- Count on 1 more. We add 1 to 8.8 + 1
- Write the answer. 9
Check. Count on from the other number too. You get 9 both ways.
Watch out. Count on, do not start again from one.
Watch out
Watch out. Write one number in the box, the answer. Do not write the sum again in the box.
Exam tip
Grown-up tip. Write sums on paper with a big box. Ask your child to read the sum aloud: “Three add four equals...”
Exercise 6C Writing the answer in a sum
Non-calculatorMethod. Put the two groups together. Start at the bigger number and count on.
- Start at the bigger number. It is quicker to count on from the bigger one.3
- Count on 2 more. We add 2 to 3.3 + 2
- Write the answer. 5
Check. Count on from the other number too. You get 5 both ways.
Watch out. Count on, do not start again from one.
Method. Put the two groups together. Start at the bigger number and count on.
- Start at the bigger number. It is quicker to count on from the bigger one.8
- Count on 2 more. We add 2 to 8.8 + 2
- Write the answer. 10
Check. Count on from the other number too. You get 10 both ways.
Watch out. Count on, do not start again from one.
Method. Put the two groups together. Start at the bigger number and count on.
- Start at the bigger number. It is quicker to count on from the bigger one.5
- Count on 2 more. We add 2 to 5.5 + 2
- Write the answer. 7
Check. Count on from the other number too. You get 7 both ways.
Watch out. Count on, do not start again from one.
Method. Put the two groups together. Start at the bigger number and count on.
- Start at the bigger number. It is quicker to count on from the bigger one.4
- Count on 4 more. We add 4 to 4.4 + 4
- Write the answer. 8
Check. Count on from the other number too. You get 8 both ways.
Watch out. Count on, do not start again from one.
Method. Put the two groups together. Start at the bigger number and count on.
- Start at the bigger number. It is quicker to count on from the bigger one.8
- Count on 1 more. We add 1 to 8.8 + 1
- Write the answer. 9
Check. Count on from the other number too. You get 9 both ways.
Watch out. Count on, do not start again from one.
Method. Put the two groups together. Start at the bigger number and count on.
- Start at the bigger number. It is quicker to count on from the bigger one.5
- Count on 2 more. We add 2 to 5.5 + 2
- Write the answer. 7
Check. Count on from the other number too. You get 7 both ways.
Watch out. Count on, do not start again from one.
Method. Put the two groups together. Start at the bigger number and count on.
- Start at the bigger number. It is quicker to count on from the bigger one.10
- Count on 0 more. We add 0 to 10.10 + 0
- Write the answer. 10
Check. Count on from the other number too. You get 10 both ways.
Watch out. Count on, do not start again from one.
Method. Put the two groups together. Start at the bigger number and count on.
- Start at the bigger number. It is quicker to count on from the bigger one.4
- Count on 3 more. We add 3 to 4.4 + 3
- Write the answer. 7
Check. Count on from the other number too. You get 7 both ways.
Watch out. Count on, do not start again from one.
Method. Put the two groups together. Start at the bigger number and count on.
- Start at the bigger number. It is quicker to count on from the bigger one.10
- Count on 0 more. We add 0 to 10.10 + 0
- Write the answer. 10
Check. Count on from the other number too. You get 10 both ways.
Watch out. Count on, do not start again from one.
Method. Put the two groups together. Start at the bigger number and count on.
- Start at the bigger number. It is quicker to count on from the bigger one.3
- Count on 1 more. We add 1 to 3.3 + 1
- Write the answer. 4
Check. Count on from the other number too. You get 4 both ways.
Watch out. Count on, do not start again from one.
Method. Put the two groups together. Start at the bigger number and count on.
- Start at the bigger number. It is quicker to count on from the bigger one.5
- Count on 1 more. We add 1 to 5.5 + 1
- Write the answer. 6
Check. Count on from the other number too. You get 6 both ways.
Watch out. Count on, do not start again from one.
Method. Put the two groups together. Start at the bigger number and count on.
- Start at the bigger number. It is quicker to count on from the bigger one.7
- Count on 1 more. We add 1 to 7.7 + 1
- Write the answer. 8
Check. Count on from the other number too. You get 8 both ways.
Watch out. Count on, do not start again from one.
Method. Put the two groups together. Start at the bigger number and count on.
- Start at the bigger number. It is quicker to count on from the bigger one.7
- Count on 3 more. We add 3 to 7.7 + 3
- Write the answer. 10
Check. Count on from the other number too. You get 10 both ways.
Watch out. Count on, do not start again from one.
Method. Put the two groups together. Start at the bigger number and count on.
- Start at the bigger number. It is quicker to count on from the bigger one.6
- Count on 0 more. We add 0 to 6.6 + 0
- Write the answer. 6
Check. Count on from the other number too. You get 6 both ways.
Watch out. Count on, do not start again from one.
Method. Put the two groups together. Start at the bigger number and count on.
- Start at the bigger number. It is quicker to count on from the bigger one.8
- Count on 1 more. We add 1 to 8.8 + 1
- Write the answer. 9
Check. Count on from the other number too. You get 9 both ways.
Watch out. Count on, do not start again from one.
Method. Put the two groups together. Start at the bigger number and count on.
- Start at the bigger number. It is quicker to count on from the bigger one.6
- Count on 3 more. We add 3 to 6.6 + 3
- Write the answer. 9
Check. Count on from the other number too. You get 9 both ways.
Watch out. Count on, do not start again from one.
Adding three numbers
To add three numbers, add two of them first. Then add the third number to the total.
Key ideas
- Add two numbers first.
- Then add the third number.
- Keep the total from the first step.
Method. Add the first two numbers. Then add the third.
- Add the first two. 2 + 3 = 5.2 + 3 = 5
- Add the third number. 5 + 1 = 6.5 + 1 = 6
- Write the answer. 6
Check. Add in another order: 3 + 1 = 4, then 4 + 2 = 6. It matches.
Watch out. Keep the first total in your head, then add the next number.
Method. Add the first two numbers. Then add the third.
- Add the first two. 4 + 1 = 5.4 + 1 = 5
- Add the third number. 5 + 2 = 7.5 + 2 = 7
- Write the answer. 7
Check. Add the last two first: 1 + 2 = 3, then 4 + 3 = 7. It matches.
Watch out. Do not add all three in your head at once. Do one step at a time.
Method. Add the first two numbers. Then add the third.
- Add the first two. 3 + 3 = 6.3 + 3 = 6
- Add the third number. 6 + 3 = 9.6 + 3 = 9
- Write the answer. 9
Check. Three threes make nine. It matches.
Watch out. Check that the total is not more than 10.
Watch out
Watch out. Work out two numbers at a time. Do not skip the middle total.
Exam tip
Grown-up tip. Use three piles of counters. Add two piles, write the total, then add the third pile.
Exercise 6D Adding three numbers
Non-calculatorMethod. Add two numbers first, then add the third.
- Add the first two numbers. Put 2 and 6 together.2 + 6 = 8
- Add the third number. Put 8 and 2 together.8 + 2 = 10
- Write the answer. 10
Check. Add in a different order: 2 + 2 = 4, then add 6: 10. ✓
Watch out. Work in pairs, one step at a time. Keep the total in your head.
Method. Add two numbers first, then add the third.
- Add the first two numbers. Put 1 and 3 together.1 + 3 = 4
- Add the third number. Put 4 and 6 together.4 + 6 = 10
- Write the answer. 10
Check. Add in a different order: 1 + 6 = 7, then add 3: 10. ✓
Watch out. Work in pairs, one step at a time. Keep the total in your head.
Method. Add two numbers first, then add the third.
- Add the first two numbers. Put 3 and 3 together.3 + 3 = 6
- Add the third number. Put 6 and 4 together.6 + 4 = 10
- Write the answer. 10
Check. Add in a different order: 3 + 4 = 7, then add 3: 10. ✓
Watch out. Work in pairs, one step at a time. Keep the total in your head.
Method. Add two numbers first, then add the third.
- Add the first two numbers. Put 4 and 1 together.4 + 1 = 5
- Add the third number. Put 5 and 5 together.5 + 5 = 10
- Write the answer. 10
Check. Add in a different order: 4 + 5 = 9, then add 1: 10. ✓
Watch out. Work in pairs, one step at a time. Keep the total in your head.
Method. Add two numbers first, then add the third.
- Add the first two numbers. Put 1 and 1 together.1 + 1 = 2
- Add the third number. Put 2 and 5 together.2 + 5 = 7
- Write the answer. 7
Check. Add in a different order: 1 + 5 = 6, then add 1: 7. ✓
Watch out. Work in pairs, one step at a time. Keep the total in your head.
Method. Add two numbers first, then add the third.
- Add the first two numbers. Put 6 and 1 together.6 + 1 = 7
- Add the third number. Put 7 and 1 together.7 + 1 = 8
- Write the answer. 8
Check. Add in a different order: 6 + 1 = 7, then add 1: 8. ✓
Watch out. Work in pairs, one step at a time. Keep the total in your head.
Method. Add two numbers first, then add the third.
- Add the first two numbers. Put 3 and 4 together.3 + 4 = 7
- Add the third number. Put 7 and 3 together.7 + 3 = 10
- Write the answer. 10
Check. Add in a different order: 3 + 3 = 6, then add 4: 10. ✓
Watch out. Work in pairs, one step at a time. Keep the total in your head.
Method. Add two numbers first, then add the third.
- Add the first two numbers. Put 4 and 1 together.4 + 1 = 5
- Add the third number. Put 5 and 2 together.5 + 2 = 7
- Write the answer. 7
Check. Add in a different order: 4 + 2 = 6, then add 1: 7. ✓
Watch out. Work in pairs, one step at a time. Keep the total in your head.
Method. Add two numbers first, then add the third.
- Add the first two numbers. Put 6 and 2 together.6 + 2 = 8
- Add the third number. Put 8 and 1 together.8 + 1 = 9
- Write the answer. 9
Check. Add in a different order: 6 + 1 = 7, then add 2: 9. ✓
Watch out. Work in pairs, one step at a time. Keep the total in your head.
Method. Add two numbers first, then add the third.
- Add the first two numbers. Put 4 and 1 together.4 + 1 = 5
- Add the third number. Put 5 and 3 together.5 + 3 = 8
- Write the answer. 8
Check. Add in a different order: 4 + 3 = 7, then add 1: 8. ✓
Watch out. Work in pairs, one step at a time. Keep the total in your head.
Method. Add two numbers first, then add the third.
- Add the first two numbers. Put 6 and 2 together.6 + 2 = 8
- Add the third number. Put 8 and 1 together.8 + 1 = 9
- Write the answer. 9
Check. Add in a different order: 6 + 1 = 7, then add 2: 9. ✓
Watch out. Work in pairs, one step at a time. Keep the total in your head.
Method. Add two numbers first, then add the third.
- Add the first two numbers. Put 5 and 1 together.5 + 1 = 6
- Add the third number. Put 6 and 1 together.6 + 1 = 7
- Write the answer. 7
Check. Add in a different order: 5 + 1 = 6, then add 1: 7. ✓
Watch out. Work in pairs, one step at a time. Keep the total in your head.
Method. Add two numbers first, then add the third.
- Add the first two numbers. Put 2 and 3 together.2 + 3 = 5
- Add the third number. Put 5 and 1 together.5 + 1 = 6
- Write the answer. 6
Check. Add in a different order: 2 + 1 = 3, then add 3: 6. ✓
Watch out. Work in pairs, one step at a time. Keep the total in your head.
Method. Add two numbers first, then add the third.
- Add the first two numbers. Put 2 and 4 together.2 + 4 = 6
- Add the third number. Put 6 and 1 together.6 + 1 = 7
- Write the answer. 7
Check. Add in a different order: 2 + 1 = 3, then add 4: 7. ✓
Watch out. Work in pairs, one step at a time. Keep the total in your head.
Method. Add two numbers first, then add the third.
- Add the first two numbers. Put 5 and 1 together.5 + 1 = 6
- Add the third number. Put 6 and 4 together.6 + 4 = 10
- Write the answer. 10
Check. Add in a different order: 5 + 4 = 9, then add 1: 10. ✓
Watch out. Work in pairs, one step at a time. Keep the total in your head.
Method. Add two numbers first, then add the third.
- Add the first two numbers. Put 3 and 2 together.3 + 2 = 5
- Add the third number. Put 5 and 3 together.5 + 3 = 8
- Write the answer. 8
Check. Add in a different order: 3 + 3 = 6, then add 2: 8. ✓
Watch out. Work in pairs, one step at a time. Keep the total in your head.
Chapter summary
| Skill | Method |
|---|---|
| Plus and equals | + means put together. = means the same as |
| Counting on | Start at the bigger number and count on the smaller one |
| Writing a sum | Write the answer after the equals sign |
| Three numbers | Add two first, then add the third number |
Can you…?
- I know + means put together and = means the same as
- I can add two numbers up to 10 by counting on
- I can write the answer in a sum
- I can add three small numbers one step at a time
Key terms
- sum
- a number sentence with numbers, a sign and an answer
- total
- the answer when numbers are added together
- count on
- to keep going up from a number
Exercise 6Z Check-up
Non-calculatorMethod. Put the two groups together and count all of them.
- Count group A. Touch each one once.A = 3
- Count group B. Touch each one once.B = 4
- Put them together. Plus means put together.3 + 4 = 7
- Write the answer. Equals means the same as the total.7
Check. Count all of them from one: you also get 7. ✓
Watch out. Count group A first, then add group B to the total.
Method. Put the two groups together and count all of them.
- Count group A. Touch each one once.A = 2
- Count group B. Touch each one once.B = 3
- Put them together. Plus means put together.2 + 3 = 5
- Write the answer. Equals means the same as the total.5
Check. Count all of them from one: you also get 5. ✓
Watch out. Count group A first, then add group B to the total.
Method. Put the two groups together and count all of them.
- Count group A. Ava has these.4
- Count group B. Ben has these.4
- Put them together. The plus sign means put together.4 + 4 = 8
- Write the answer. Accept any answer that says the groups are put together.The total is 8.
Check. Count all 8 balls one at a time. ✓
Watch out. The plus sign means put together, and the equals sign means the same as.
Method. Start at the bigger number. Count on the smaller number.
- Start at the bigger number. It is quicker to count on from the bigger one.3
- Count on 1 more. Each step moves one number along.3 + 1
- Write the answer. 4
Check. Count back 1 from 4: you land on 3. ✓
Watch out. Count on, do not start again from one.
Method. Put the two groups together. Start at the bigger number and count on.
- Start at the bigger number. It is quicker to count on from the bigger one.5
- Count on 4 more. We add 4 to 5.5 + 4
- Write the answer. 9
Check. Count on from the other number too. You get 9 both ways.
Watch out. Count on, do not start again from one.
Method. Start at the bigger number. Count on the smaller number.
- Start at the bigger number. It is quicker to count on from the bigger one.7
- Count on 1 more. Each step moves one number along.7 + 1
- Write the answer. 8
Check. Count back 1 from 8: you land on 7. ✓
Watch out. Count on, do not start again from one.
Method. Put the two groups together. Start at the bigger number and count on.
- Start at the bigger number. It is quicker to count on from the bigger one.10
- Count on 0 more. We add 0 to 10.10 + 0
- Write the answer. 10
Check. Count on from the other number too. You get 10 both ways.
Watch out. Count on, do not start again from one.
Method. Put the two groups together. Start at the bigger number and count on.
- Start at the bigger number. It is quicker to count on from the bigger one.9
- Count on 0 more. We add 0 to 9.9 + 0
- Write the answer. 9
Check. Count on from the other number too. You get 9 both ways.
Watch out. Count on, do not start again from one.
Method. Add two numbers first, then add the third.
- Add the first two numbers. Put 1 and 5 together.1 + 5 = 6
- Add the third number. Put 6 and 2 together.6 + 2 = 8
- Write the answer. 8
Check. Add in a different order: 1 + 2 = 3, then add 5: 8. ✓
Watch out. Work in pairs, one step at a time. Keep the total in your head.
Method. Add two numbers first, then add the third.
- Add the first two numbers. Put 2 and 1 together.2 + 1 = 3
- Add the third number. Put 3 and 6 together.3 + 6 = 9
- Write the answer. 9
Check. Add in a different order: 2 + 6 = 8, then add 1: 9. ✓
Watch out. Work in pairs, one step at a time. Keep the total in your head.
Total 18 marks. Allow about 18 minutes.
Exercise 6X Practice test questions
Non-calculatorMethod. Put the two groups together and count all of them.
- Count group A. Touch each one once.A = 5
- Count group B. Touch each one once.B = 2
- Put them together. Plus means put together.5 + 2 = 7
- Write the answer. Equals means the same as the total.7
Check. Count all of them from one: you also get 7. ✓
Watch out. Count group A first, then add group B to the total.
Method. Put the two groups together and count all of them.
- Count group A. Touch each one once.A = 5
- Count group B. Touch each one once.B = 4
- Put them together. Plus means put together.5 + 4 = 9
- Write the answer. Equals means the same as the total.9
Check. Count all of them from one: you also get 9. ✓
Watch out. Count group A first, then add group B to the total.
Method. Put the two groups together and count all of them.
- Count group A. Ava has these.5
- Count group B. Ben has these.5
- Put them together. The plus sign means put together.5 + 5 = 10
- Write the answer. Accept any answer that says the groups are put together.The total is 10.
Check. Count all 10 balls one at a time. ✓
Watch out. The plus sign means put together, and the equals sign means the same as.
Method. Start at the bigger number. Count on the smaller number.
- Start at the bigger number. It is quicker to count on from the bigger one.8
- Count on 1 more. Each step moves one number along.8 + 1
- Write the answer. 9
Check. Count back 1 from 9: you land on 8. ✓
Watch out. Count on, do not start again from one.
Method. Put the two groups together. Start at the bigger number and count on.
- Start at the bigger number. It is quicker to count on from the bigger one.8
- Count on 1 more. We add 1 to 8.8 + 1
- Write the answer. 9
Check. Count on from the other number too. You get 9 both ways.
Watch out. Count on, do not start again from one.
Method. Start at the bigger number. Count on the smaller number.
- Start at the bigger number. It is quicker to count on from the bigger one.2
- Count on 2 more. Each step moves one number along.2 + 2
- Write the answer. 4
Check. Count back 2 from 4: you land on 2. ✓
Watch out. Count on, do not start again from one.
Method. Put the two groups together. Start at the bigger number and count on.
- Start at the bigger number. It is quicker to count on from the bigger one.5
- Count on 1 more. We add 1 to 5.5 + 1
- Write the answer. 6
Check. Count on from the other number too. You get 6 both ways.
Watch out. Count on, do not start again from one.
Method. Put the two groups together. Start at the bigger number and count on.
- Start at the bigger number. It is quicker to count on from the bigger one.9
- Count on 0 more. We add 0 to 9.9 + 0
- Write the answer. 9
Check. Count on from the other number too. You get 9 both ways.
Watch out. Count on, do not start again from one.
Method. Add two numbers first, then add the third.
- Add the first two numbers. Put 1 and 4 together.1 + 4 = 5
- Add the third number. Put 5 and 3 together.5 + 3 = 8
- Write the answer. 8
Check. Add in a different order: 1 + 3 = 4, then add 4: 8. ✓
Watch out. Work in pairs, one step at a time. Keep the total in your head.
Method. Add two numbers first, then add the third.
- Add the first two numbers. Put 4 and 3 together.4 + 3 = 7
- Add the third number. Put 7 and 1 together.7 + 1 = 8
- Write the answer. 8
Check. Add in a different order: 4 + 1 = 5, then add 3: 8. ✓
Watch out. Work in pairs, one step at a time. Keep the total in your head.