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Reception Maths · ReceptionChapter 2 · Numbers to 20
Reception · Chapter 2

Numbers to 20

By the end of this chapter you will be able to

  • I can count to 20 and back
  • I can read and write the numbers 11 to 20 as numerals and words
  • I can say a teen number as one ten and some ones
  • I can say the number before and after, and the number in between, up to 20
  • I can put numbers to 20 in order
  • I can count on past 20 and see the pattern

You should already know

  • Counting to 10 (Chapter 1)
  • Numerals and words to 10 (Chapter 1)

Where this leads

  • Comparing quantities (Chapter 3)
  • Making and splitting numbers (Chapter 4)

Early Years Foundation Stage for England, maths. Content: Read, write and order numerals to 20, Count on from any number to 20, and back, Know that a teen number is one ten and some ones, Count beyond 20 and recognise the pattern of the counting system.

Exercise P  Do you remember?

Non-calculator
1
FHow many fingers are on both hands together?
2
FWhat number comes after 9?
12345678910
3
FHow many corners does a square have?
4
FWhat number is one less than 6?
5
FWhich number is more: 3 or 7?
2.1

Ten and some more

Reception
Teen numbers as one ten and some ones
Video lesson: Ten and some moreComing soon

Sam is making towers with counters. He fills one ten frame first. It has ten counters.

He keeps going with the second frame. He has ten, and some more. Ten and three more is 13.

Numbers from 11 to 19 are one ten and some ones.

One full ten frame and three more counters: 13.

Key ideas

  • A teen number is one ten and some ones.
  • The first ten frame is full: that is ten.
  • The ones are the extra counters.
Worked example 2.1.1
How many counters are there?

Key words. A teen number is one ten and some ones, for example 13 is one ten and three ones.

Method. A teen number is one ten and some ones. Ten is one full ten frame.

  1. Find the ten. Ten is one full ten frame.
    1 ten = 10
  2. Count the ones left over. The ones are the extra counters.
    12 − 10 = 2 ones
  3. Write the answer. Say it as a ten and some ones.
    12 is one ten and 2 ones

Check. Ten and 2 more makes 12: 10 + 2 = 12. ✓

Watch out. The “ten” always comes first. Do not count the ten frame as ones.

Worked example 2.1.2
How many counters are there?

Key words. A teen number is one ten and some ones, for example 13 is one ten and three ones.

Method. A teen number is one ten and some ones. Ten is one full ten frame.

  1. Find the ten. Ten is one full ten frame.
    1 ten = 10
  2. Count the ones left over. The ones are the extra counters.
    15 − 10 = 5 ones
  3. Write the answer. Say it as a ten and some ones.
    15 is one ten and 5 ones

Check. Ten and 5 more makes 15: 10 + 5 = 15. ✓

Watch out. The “ten” always comes first. Do not count the ten frame as ones.

Worked example 2.1.3
How many counters are there?

Key words. A teen number is one ten and some ones, for example 13 is one ten and three ones.

Method. A teen number is one ten and some ones. Ten is one full ten frame.

  1. Find the ten. Ten is one full ten frame.
    1 ten = 10
  2. Count the ones left over. The ones are the extra counters.
    18 − 10 = 8 ones
  3. Write the answer. Say it as a ten and some ones.
    18 is one ten and 8 ones

Check. Ten and 8 more makes 18: 10 + 8 = 18. ✓

Watch out. The “ten” always comes first. Do not count the ten frame as ones.

Watch out

Watch out: the ten comes first. Thirteen is one ten and three ones, not three tens and one one.

Exam tip

Grown-up tip. Use an egg box (ten holes) and counters or buttons. Fill the first row, then count the extras. Ask: “How many tens, and how many ones?”

Exercise 2A  Ten and some more

Non-calculator
1
FHow many counters are there?
2
FHow many counters are there?
3
FHow many counters are there?
4
FHow many counters are there?
5
FHow many counters are there?
6
FWrite the number that is 1 ten and 3 ones.
7
FWrite the number that is 1 ten and 8 ones.
8
FFill in the gap: 10 + __ = 15.
9
PSSam has 16 cubes. How many are the extra ones after the first ten?
10
PSRavi says 12 is 2 tens. Is he right? Explain.
11
PSLily has 1 ten and 9 ones. Which number is she counting?
12
RExplain why 15 is not the same as 51. Use the words “ten” and “ones”.
2.2

Reading and writing numbers to 20

Reception
Read and write numbers 11 to 20 as numerals and words
Video lesson: Reading and writing numbers to 20Coming soon

Jack lives at number 17 on his street. He reads the number and writes it on his drawing.

A numeral is written with digits, like 17. The word is seventeen. Both mean the same number. Look at the whole word when you read it.

NumeralWord
11eleven
12twelve
13thirteen
14fourteen
15fifteen
16sixteen
17seventeen
18eighteen
19nineteen
20twenty
Numbers 11 to 20, as numerals and as words.

Key ideas

  • Numbers 11 to 20 end with -teen, except eleven, twelve and twenty.
  • A numeral is a number written with digits.
  • A number word is its name.
Worked example 2.2.1
Write the numeral for “fourteen”.

Method. Read the whole number word. Then find it on the number list.

  1. Read the word. Read every part, including the second half of a long word.
    “fourteen”
  2. Find the word on the list. Each word matches one number.
    fourteen = 14
  3. Write the numeral. A numeral uses digits.
    14

Check. Count 14 things in your head, then check the numeral. ✓

Watch out. Look at the whole word. Thirteen and thirty look alike but are different.

Worked example 2.2.2
Write the number 18 as a word.

Method. Say the number, then write its name in words.

  1. Look at the numeral. Find it on the number list.
    18
  2. Find its name. Every number has one name.
    18 = eighteen
  3. Write the word. Write each letter in order.
    eighteen

Check. Read the word back. It has the same number of things as 18. ✓

Watch out. Check the spelling. Thirteen, fourteen and fifteen are different words.

Worked example 2.2.3
Write the number 12 as a word.

Method. Say the number, then write its name in words.

  1. Look at the numeral. Find it on the number list.
    12
  2. Find its name. Every number has one name.
    12 = twelve
  3. Write the word. Write each letter in order.
    twelve

Check. Read the word back. It has the same number of things as 12. ✓

Watch out. Check the spelling. Thirteen, fourteen and fifteen are different words.

Watch out

Watch out: thirteen and thirty look alike. Thirteen is 13 and thirty is 30. Check the ending of the word: -teen or -ty.

Exam tip

Grown-up tip. Write the numeral big on paper, then the word under it. Practise the words that are hard to spell, such as eleven, twelve, and fourteen. Say each word and count that many things.

Exercise 2B  Numerals and words to 20

Non-calculator
1
FWrite the numeral for “twelve”.
2
FWrite the numeral for “sixteen”.
3
FWrite the numeral for “fifteen”.
4
FWrite the number 13 as a word.
5
FWrite the number 19 as a word.
6
FWrite the number 20 as a word.
7
FWrite the word for each numeral.
(a)11
(b)14
(c)18
8
FWrite the numeral for each word.
(a)seventeen
(b)eleven
(c)twenty
9
FWhich numeral is “fourteen”? Choose 14, 41 or 40.
10
PSJack lives at number 17. Write the number word for his house.
11
PSRuby writes “fiveteen” for 15. Write the word correctly.
12
RTom says that “thirteen” and “thirty” are the same number. Is he right? Explain.
2.3

Counting on and back to 20

Reception
Count on from any number to 20, Count back to 0 from 20
Video lesson: Counting on and back to 20Coming soon

Ella slides down a long slide. She counts the steps as she goes up the ladder.

Counting on means going up: 14, 15, 16. Counting back means going down: 16, 15, 14. Each number is one more or one less than the one next to it.

1234567891011121314151617181920
A number track from 1 to 20.

Key ideas

  • Count on: start at a number and say each one after it.
  • Count back: start at a number and say each one before it.
  • Use the number track to check.
Worked example 2.3.1
Count on from 14 to 17. Write the numbers.

Method. Start at 14 and count on to 17. Each number is one more than the one before.

  1. Start at 14. Say the first number.
    14
  2. Count on to 17. Say each number, one more each time.
    14, 15, 16, 17
  3. Write the numbers. Write them in order.
    14, 15, 16, 17

Check. Count back from 17 to 14. You say the same numbers in reverse. ✓

Watch out. Do not skip a number. Check each one is one more than the last.

Worked example 2.3.2
Count back from 20 to 17. Write the numbers.

Method. Start at 20 and count back to 17. Each number is one less than the one before.

  1. Start at 20. Start with the biggest number.
    20
  2. Count back to 17. Each number is one less.
    20, 19, 18, 17
  3. Write the numbers. Include the first and last numbers.
    20, 19, 18, 17

Check. Count on from 17 to 20 to check. ✓

Watch out. Count back one at a time. Do not jump over a number.

Worked example 2.3.3
Fill in the gaps: 8, __, 10, 11, __, 13.

Method. Each number is one more than the number before. Use the numbers you can see to find the gaps.

  1. Look at the numbers around each gap. Counting on means each number is one more.
    8, ?, 10, 11, ?, 13
  2. Add one to the number before each gap. That gives the missing number.
    Gap 2: 8 + 1 = 9
    Gap 5: 11 + 1 = 12
  3. Write the missing numbers.
    9, 12

Check. Read the whole line again. Every number is one more than the one before. ✓

Watch out. Check the numbers after the gap too. They should still go up by one.

Watch out

Watch out: when you count back, the numbers get smaller. Do not jump over a number.

Exam tip

Grown-up tip. Use a number track on the wall or a paper strip. Walk your finger along it as you count on. Then count back to the start together.

Exercise 2C  Counting on and back

Non-calculator
1
FWhat number comes after 19?
1234567891011121314151617181920
2
FWhat number comes before 12?
1234567891011121314151617181920
3
FCount on from 5 to 9. Write the numbers.
4
FCount back from 15 to 12. Write the numbers.
5
FFill in the gaps: 11, __, 13, __, 15
111315
6
FFill in the gap: 16, 17, __, 19
161719
7
FCount on from 17 to 20. Write the numbers.
8
FCount back from 20 to 16. Write the numbers.
9
FWhat number comes after 6?
10
FWhat number comes before 10?
11
PSBen is on number 12. He counts on 4 boxes. Which number is he on now?
1234567891011121314151617181920
12
PSElla counts back from 18 to 13. Write all the numbers she says.
13
PSCount on from 16 to 20. Write all the numbers you say, starting with 16.
14
RAli says that counting back from 20 to 15 means saying 6 numbers. Is he right? Explain.
2.4

Before, after and between

Reception
Say the number before, after and between, Put numbers to 20 in order
Video lesson: Before, after and betweenComing soon

Lee is on a bus. The stops are numbered. He wants to know which stop is next.

The number after is one more. The number before is one less. The number between two numbers sits in the middle of them, like 15 between 14 and 16.

1011121314151617181920
Bus stops numbered 10 to 20.

Key ideas

  • After: one more.
  • Before: one less.
  • Between: in the middle of two numbers.
  • Smallest first: the number with fewest tens and ones.
Worked example 2.4.1
What number comes after 14?

Method. Find 14 on the number track. The number after it is the answer.

  1. Find 14. Put your finger on it.
    14
  2. Move one box to the right. Each box is one more or one less.
    14 + 1 = 15
  3. Write the answer.
    15

Check. Check it: 15 − 1 = 14. ✓

Watch out. Move one box only. Do not write the number you started with.

Worked example 2.4.2
What number is between 14 and 16?

Method. The number between 14 and 16 is in the middle of them.

  1. Find 14 and 16. Put your fingers on both numbers.
    14 ... 16
  2. Count on one from 14. The middle number is one more than the first.
    14 + 1 = 15
  3. Write the answer.
    15

Check. Count on from 15 to 16: 15 + 1 = 16. ✓

Watch out. The number between is not one of the two you started with.

Worked example 2.4.3
Put these numbers in order, smallest first: 17, 9, 12.

Method. Smallest first. Look at how many tens each number has, then the ones.

  1. Look at the tens of each number. More tens means a bigger number.
    17, 9, 12
  2. Put the smallest first. Then put the next smallest.
    9, 12, 17
  3. Write the numbers in order. Check you have not left one out.
    9, 12, 17

Check. There are 3 numbers in the question and 3 in the answer. ✓

Watch out. Compare the tens first. Only look at the ones if the tens are the same.

Watch out

Watch out: 9 is smaller than 10, even though 9 has only one digit. Smaller numbers come first.

Exam tip

Grown-up tip. Use the bus stops from a real trip, or a row of door numbers. Ask: “Which stop comes before this one?”

Exercise 2D  Before, after and between

Non-calculator
1
FWhat number comes after 16?
2
FWhat number comes before 11?
3
FWhat number is between 8 and 10?
4
FWhat number comes after 9?
5
FWhat number comes before 20?
6
FWhat number is between 14 and 16?
7
FPut these numbers in order, smallest first: 14, 9, 17, 11
8
FPut these numbers in order, smallest first: 18, 12, 15
9
FWhich number is bigger: 13 or 18?
10
PSRuby lives between houses 12 and 14. Which house number is hers?
11
PSWhich number comes next? 15, 16, 17, __
12
RAli says 14 comes before 13. Is he right? Explain.
2.5

Counting past 20

Reception
Count beyond 20 and see the pattern
Video lesson: Counting past 20Coming soon

The counting does not stop at 20. Keep going: 21, 22, 23 and on.

Look at the pattern. The tens digit stays 2 from 20 to 29. Then 30 starts the next group of tens.

2021222324252627282930
Numbers from 20 to 30.

Key ideas

  • After 20 comes 21, then 22, and so on.
  • From 20 to 29 the tens digit stays 2.
  • After 29 comes 30.
Worked example 2.5.1
What number comes after 22?

Method. Find 22 on the number track. The number after it is the answer.

  1. Find 22. Put your finger on it.
    22
  2. Move one box to the right. Each box is one more or one less.
    22 + 1 = 23
  3. Write the answer.
    23

Check. Check it: 23 − 1 = 22. ✓

Watch out. Move one box only. Do not write the number you started with.

Worked example 2.5.2
Count on from 24 to 27. Write the numbers.

Method. Start at 24 and count on to 27. Each number is one more than the one before.

  1. Start at 24. Say the first number.
    24
  2. Count on to 27. Say each number, one more each time.
    24, 25, 26, 27
  3. Write the numbers. Write them in order.
    24, 25, 26, 27

Check. Count back from 27 to 24. You say the same numbers in reverse. ✓

Watch out. Do not skip a number. Check each one is one more than the last.

Worked example 2.5.3
Count back from 30 to 27. Write the numbers.

Method. Start at 30 and count back to 27. Each number is one less than the one before.

  1. Start at 30. Start with the biggest number.
    30
  2. Count back to 27. Each number is one less.
    30, 29, 28, 27
  3. Write the numbers. Include the first and last numbers.
    30, 29, 28, 27

Check. Count on from 27 to 30 to check. ✓

Watch out. Count back one at a time. Do not jump over a number.

Watch out

Watch out: after 29 comes 30, not 210. Thirty is one new ten.

Exam tip

Grown-up tip. Count past 20 on a stair or a shopping list. Stop at each ten and say the new word: twenty, thirty.

Exercise 2E  Counting past 20

Non-calculator
1
FWhat number comes after 20?
2021222324252627282930
2
FWhat number comes after 24?
3
FWhat number comes after 29?
4
FCount on from 20 to 25. Write the numbers.
5
FCount back from 30 to 26. Write the numbers.
6
FFill in the gap: 21, __, 23
7
FFill in the gap: 27, __, 29
8
FWrite the number word for 21.
9
FWrite the numeral for “twenty-five”.
10
PSBen starts at 20 and counts on to 25. How many numbers did he say after 20?
11
PSSam says the tens digit is 2 for all the numbers from 20 to 29. Is he right? Explain.
12
RExplain why 30 comes after 29. Use the words “tens” and “ones”.

Chapter summary

SkillMethod
Teen numbersOne ten and some ones. 13 is 10 and 3.
Numerals and wordsNumerals use digits, like 17. The word is seventeen.
Counting on and backCount on for bigger numbers. Count back for smaller ones.
Before, after, betweenAfter is one more. Before is one less. Between is in the middle.
Past 20Keep counting: 21, 22 ... 29, then 30. The pattern starts again each ten.

Can you…?

  • I can count to 20 and back
  • I can say a teen number as one ten and some ones
  • I can read and write the numbers 11 to 20 as numerals and words
  • I can say the number before, after and between, up to 20
  • I can put numbers to 20 in order
  • I can count on past 20 and see the pattern

Key terms

teen number
a number from 11 to 19: one ten and some ones
count on
keep going up, one number at a time
count back
go down, one number at a time
before
one less than
after
one more than
between
in the middle of two numbers
order
from smallest to biggest, or biggest to smallest

Exercise 2Z  Check-up

Non-calculator
1
How many counters are there?
2
Write the numeral for “thirteen”.
3
Write the number 15 as a word.
4
What number comes after 18?
5
What number comes before 14?
6
What number is between 11 and 13?
7
Fill in the gaps: 4, __, 6, 7, __, 9
4679
8
Count back from 17 to 14. Write the numbers.
9
Put these numbers in order, smallest first: 19, 12, 15
10
Explain how you know that 19 is one ten and nine ones. Use the word “ten”.

Total 20 marks. Allow about 20 minutes.

Exercise 2X  Practice test questions

Non-calculator
1
FHow many counters are there?[1 mark]
2
FWrite the numeral for “eighteen”.[1 mark]
3
FWhat number comes after 16?[1 mark]
4
FFill in the gaps: 9, __, 11, __, 13[2 marks]
91113
5
FCount on from 17 to 20. Write the numbers.[2 marks]
6
FPut these numbers in order, smallest first: 16, 11, 14[2 marks]
7
RElla says that 14 is the same as one ten and four ones. Is she right? Explain.[2 marks]
8
PSCount on from 25 to 28. Write the numbers. Then say what comes after 28.[3 marks]
9
PSLily has 1 ten and 6 ones. She gets 2 more ones. How many does she have now?[3 marks]
10
RExplain how counting past 20 follows the same pattern as counting to 10. Give one example.[3 marks]

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