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This guide explains each lesson in easy English. It gives you the ideas, the words, the questions and the games. Read a topic the night before. Then teach it to Lia in your own way.

Lia can probably see which number is bigger. The new part is saying it in English: greater than, less than, equal to, and the signs < > =.

40414243444546474849505152

Made by Lia's dad with the help of AI. It follows the order of the White Rose Maths Year 2 small steps (Autumn Block 1, steps 12–14). It is home practice, not official school or White Rose material. If the school teaches something in a different way, follow the school.

What is in this guide

How to use this guide

Every topic has the same parts. Here is what they mean.

PartWhat it is for
The big ideaThe one thing Lia must understand. Read this first.
Get readyThings to put on the table before you start: Lego, coins, paper, a pencil.
Teach it, step by stepA small lesson in 3–5 steps. You lines are things you can say. Lia lines are answers she might give. Do lines tell you what to do with your hands.
Other ways to say itThe same question in different English. Lia will hear all of them at school.
Worksheet EnglishInstructions that are often printed on maths worksheets. Read them together.
Good questions to askQuestions that make Lia think and explain.
If Lia is stuckCommon mistakes and what to say.
GameA short game with no paper.
  • The big ideaWhat it is forThe one thing Lia must understand. Read this first.
  • Get readyWhat it is forThings to put on the table before you start: Lego, coins, paper, a pencil.
  • Teach it, step by stepWhat it is forA small lesson in 3–5 steps. You lines are things you can say. Lia lines are answers she might give. Do lines tell you what to do with your hands.
  • Other ways to say itWhat it is forThe same question in different English. Lia will hear all of them at school.
  • Worksheet EnglishWhat it is forInstructions that are often printed on maths worksheets. Read them together.
  • Good questions to askWhat it is forQuestions that make Lia think and explain.
  • If Lia is stuckWhat it is forCommon mistakes and what to say.
  • GameWhat it is forA short game with no paper.

A good maths time at home (15–20 minutes)

TimeWhat to do
2 minutesWarm up. Play one quick game from this guide.
5 minutesTeach the big idea with objects (Lego towers, coins, tens and ones). Use the “Teach it” steps.
8–10 minutesWorkbook. One Part is enough. Sit next to Lia. Ask her to say each answer as a sentence.
2 minutesTalk. “What did you learn today? What was tricky?”
  • 2 minutesWhat to doWarm up. Play one quick game from this guide.
  • 5 minutesWhat to doTeach the big idea with objects (Lego towers, coins, tens and ones). Use the “Teach it” steps.
  • 8–10 minutesWhat to doWorkbook. One Part is enough. Sit next to Lia. Ask her to say each answer as a sentence.
  • 2 minutesWhat to doTalk. “What did you learn today? What was tricky?”
About languages

If Lia does not understand an English word, you can explain it quickly in Korean. Then say the English word again, and ask her to say it too. Always finish in English.

Put this on the fridge.

PartTopicThe big idea in one lineKey wordsWorkbook
Part 1Compare objectsThe greater number has more tens.more, fewer, greater than, less thanCompare objects
Part 2–3Compare numbersTens first, then ones. Turn tens and ones, or a sum, into one number first.<, >, =, equal toCompare numbers, Tens, ones and sums
Part 4Find all the answers63 < □ < 67 → 64, 65 or 66. Count to check.more than one answer, true, falseFind all the answers
Part 5Order numbersSmallest first is ascending. Greatest first is descending.smallest, greatest, ascending, descendingOrder numbers
  • Part 1TopicCompare objectsThe big idea in one lineThe greater number has more tens.Key wordsmore, fewer, greater than, less thanWorkbookCompare objects
  • Part 2–3TopicCompare numbersThe big idea in one lineTens first, then ones. Turn tens and ones, or a sum, into one number first.Key words<, >, =, equal toWorkbookCompare numbers, Tens, ones and sums
  • Part 4TopicFind all the answersThe big idea in one line63 < □ < 67 → 64, 65 or 66. Count to check.Key wordsmore than one answer, true, falseWorkbookFind all the answers
  • Part 5TopicOrder numbersThe big idea in one lineSmallest first is ascending. Greatest first is descending.Key wordssmallest, greatest, ascending, descendingWorkbookOrder numbers

Every day, ask these three questions

  • Question 1

    “How do you know?”

  • Question 2

    “Can you say it the other way round?”

  • Question 3

    “Is there more than one answer?”

Next in class

After these steps, the class will count in 2s, 5s and 10s, and then count in 3s. After that comes the Addition and Subtraction unit. Knowing tens and ones well makes adding and subtracting 2-digit numbers much easier.

Teaching Guide · Compare and order numbers · liabooks.com/study
Background A

How maths is taught in Year 2영국 Year 2 수학 수업 방식

What happens in Lia's classroom, so you can teach in the same way at home.

Small steps

Lia's school uses a plan called White Rose Maths. Each unit is cut into many small steps. The Addition and Subtraction unit has 21 small steps. This guide covers the first six. Each step is one small idea, and each new step uses the step before it. That is why the early steps, like bonds to 10, are so important.

Objects → pictures → numbers

Teachers call this concrete → pictorial → abstract. It means:

StageWhat it meansExample: 7 + 3
ConcreteReal things you can touch and move.7 red Lego bricks and 3 blue Lego bricks. Count them all: 10.
PictorialA drawing of the things.A ten frame with 7 dots and 3 dots.
AbstractOnly numbers and signs.7 + 3 = 10
  • ConcreteWhat it meansReal things you can touch and move.Example: 7 + 37 red Lego bricks and 3 blue Lego bricks. Count them all: 10.
  • PictorialWhat it meansA drawing of the things.Example: 7 + 3A ten frame with 7 dots and 3 dots.
  • AbstractWhat it meansOnly numbers and signs.Example: 7 + 37 + 3 = 10

Children do not always move in one direction. A child who is stuck on numbers goes back to pictures or objects. This is normal and good.

Three kinds of question

KindWhat it asksExample
FluencyCan you do it quickly and correctly?“What is 6 + 4?”
ReasoningCan you explain why? Is it true or false?“Max says 20 + 50 = 700. Is he right? How do you know?”
Problem solvingCan you use it in a new or tricky situation?“Find two numbers that make 10. Now find all of them.”
  • FluencyWhat it asksCan you do it quickly and correctly?Example“What is 6 + 4?”
  • ReasoningWhat it asksCan you explain why? Is it true or false?Example“Max says 20 + 50 = 700. Is he right? How do you know?”
  • Problem solvingWhat it asksCan you use it in a new or tricky situation?Example“Find two numbers that make 10. Now find all of them.”

Many children in Korea are very strong at fluency. The school will also ask Lia to reason and explain in English. This is where you can help the most.

Full sentences

Teachers give children sentence stems. A sentence stem is the start of a sentence with gaps. Children fill the gaps and say the whole sentence. For example:

  • “The whole is ___. The parts are ___ and ___.”
  • “I know ___, so I know ___.”
  • “___ and ___ make 10.”

At home, when Lia gives a one-word answer, you can say: “Can you say it in a full sentence?” Then help her with a stem from this guide.

Words the school uses

The school saysNotWhy it matters
mathsmathBritish English. Lia's school is British.
ones and tensunitsWhite Rose says “ones”. Older books say “units”.
number sentenceequation (in Year 2)“4 + 6 = 10” is a number sentence.
take away, subtract, minus—All three mean −. Children hear all three.
equals, is equal to, is the same as—The = sign means both sides have the same value.
  • mathsNotmathWhy it mattersBritish English. Lia's school is British.
  • ones and tensNotunitsWhy it mattersWhite Rose says “ones”. Older books say “units”.
  • number sentenceNotequation (in Year 2)Why it matters“4 + 6 = 10” is a number sentence.
  • take away, subtract, minusNot—Why it mattersAll three mean −. Children hear all three.
  • equals, is equal to, is the same asNot—Why it mattersThe = sign means both sides have the same value.
Teaching Guide · Compare and order numbers · liabooks.com/study
Background B

The five pictures (models)다섯 가지 그림 모델

Lia will see these pictures in class. Learn them once. You will use them all year.

A model is a picture that shows a maths idea. Models help children see the maths. Each model below has: what it is, how to make it at home, and what to say.

1. Ten frame

7 green and 3 red. 7 and 3 make 10.

What it is: A box with 10 spaces, in 2 rows of 5. It shows how many there are, and how many more make 10.

Make it at home: Cut 2 cups off an egg box of 12, so it has 10 cups. Or draw a 2 × 5 grid on paper. Use coins, beads or small toys as counters.

YOU“How many counters can you see?”
YOU“How many empty spaces are there?”
YOU“So how many more do we need to make 10?”
YOU“Look at the top row. It has 5. The top row is full, so we know there are at least 5.”

2. Part–whole model

1394
The whole is 13. The parts are 9 and 4.

What it is: One big circle at the top (the whole) and two circles under it (the parts). The parts together make the whole.

Make it at home: Draw three circles on paper. Put real counters in them.

YOU“This is the whole. The whole is 13.”
YOU“These are the parts. The parts are 9 and 4.”
YOU“9 and 4 make 13.”
YOU“If we take away one part from the whole, the other part is left.”

3. Bar model

169?
The whole is 16. One part is 9. What is the other part?

What it is: The part–whole idea drawn as long bars. The top bar is the whole. The bottom bars are the parts. It is very useful for story problems, because it shows what we know and what we need to find.

Make it at home: Cut strips of paper. Or draw rectangles. Write a question mark on the part you need to find.

YOU“The top bar is the whole. It is 16.”
YOU“This part is 9. This part is a mystery. What is it?”
YOU“9 plus what equals 16? Or: 16 take away 9 is what?”

4. Tens and ones (base 10)

3 tens and 4 ones = 34

What it is: A long stick is 1 ten (10 small cubes stuck together). A small cube is 1 one. The picture shows 3 tens and 4 ones, so the number is 34.

Make it at home: Make towers of 10 Lego bricks. Each tower is a ten. Single bricks are ones. Or tie 10 straws or 10 ice-cream sticks with a rubber band. You can also use money: ten 10 sen coins make RM1.

YOU“How many tens are there? How many ones?”
YOU“3 tens and 4 ones. That is 34.”
YOU“The 3 in 34 means 3 tens. It is worth 30.”
YOU“The 4 in 34 means 4 ones. It is worth 4.”

5. Number line

8910111213+2+3
8 + 5: jump 2 to get to 10, then jump 3 more. You land on 13.

What it is: A line with numbers in order. Adding means jumping forward (to the right). Subtracting means jumping back (to the left).

Make it at home: Use a ruler or a tape measure. Or write 0 to 20 on sticky notes on the floor, and let Lia jump on them.

YOU“Put your finger on 8.”
YOU“Jump forward 2. Where are you now?”
LIA10!
YOU“Good. Now jump forward 3 more. Where are you?”
LIA13.
YOU“So 8 add 5 is 13.”
One more picture

Lia may also see a rekenrek in class. It is a bead frame with two rows of 10 beads. The beads change colour after 5, so children can see 5 and 10 at a glance. It shows the same ideas as the ten frame.

Add by making 10 (with the rekenrek) →

Teaching Guide · Compare and order numbers · liabooks.com/study
Part 1 · Step 12 · Workbook pages 2

Compare objects십 모형으로 비교하기

Which group has more? Look at the tens first.

한국어 요약

십 모형 두 묶음을 보고 어느 쪽이 더 많은지 영어로 말하는 법이에요. more와 fewer에서 greater than, less than, equal to로 넘어가는 대본과, 십이 많은 쪽이 더 큰 수라는 생각을 보여 주는 놀이를 담았어요.

To compare two groups, we say which one has more and which one has fewer. With numbers, we say greater than, less than or equal to.

Look at the tens first. The greater number has more tens. If the tens are the same, look at the ones.

36
29 — 36 is greater than 29
  • Tens and ones: Lego towers of 10 and single bricks, or bundles of 10 straws and single straws
  • Two plates, one for each group
  • Paper and a pencil
YOU 부모가 할 말LIA 아이가 할 만한 대답DO 손으로 할 일

More and fewer

DOPut 3 tens and 6 ones on one plate. Put 2 tens and 9 ones on the other plate.
YOU“Which plate has more?”
LIAThis one.
YOU“How do you know?”
LIAIt has 3 tens. That one has 2 tens.

Greater than, less than

YOU“This plate is 36. That plate is 29.”
YOU“36 is greater than 29. Can you say it?”
LIA36 is greater than 29.
YOU“Now start with 29. 29 is …?”
LIA29 is less than 36.

The same fact can be said two ways. Practise both. Lia will hear both at school.

9 ones are still less than 1 ten

YOU“The 29 plate has 9 ones. That is a lot of ones! Is it greater?”
LIANo. 9 ones is less than 1 ten. The tens are more important.
YOU“Yes. The greater number has more tens.”

Equal to

DOMake the two plates the same: 4 tens and 1 one each.
YOU“Which is greater?”
LIAThey are the same.
YOU“Yes. 41 is equal to 41.”
  • “Which group has more?”
  • “Which group has fewer?”
  • “Which is greater?”
  • “Which is less?”
  • “Are they the same?”
  • “Are they equal?”
  • “Compare the two groups.”
  • “Write the missing phrase.”
  • “Complete the sentences.”
  • “Use base 10 to show your answer.”
  • “How do you know?”

    Good answers

    “It has more tens.” / “The tens are the same, so I looked at the ones.”

  • “Can you say it the other way round?”

    Note

    “36 is greater than 29” → “29 is less than 36”.

  • “Why did you look at the tens first?”

    Note

    One ten is more than any number of loose ones up to 9.

  • When

    Lia counts every cube one by one.

    Point at the tens. “How many tens here? How many tens there? Which has more tens?”

  • When

    She says 29 is greater because 9 is bigger than 6.

    Build both. “Look at the tens. 3 tens is 30. 2 tens is 20. Which is more?”

  • When

    She mixes up greater and less.

    Say “greater means more, less means fewer”. Hold one hand high for greater, low for less.

Game · Grab and compare

You need: tens and ones (Lego towers and bricks)

  1. Each player grabs some tens and some ones.
  2. Count your own: “I have 4 tens and 2 ones. That is 42.”
  3. Compare in a full sentence: “42 is greater than 35.” The greater number wins the round.
In the workbook

Three pairs of base 10 pictures. Write greater than, less than or equal to.

Teaching Guide · Compare and order numbers · liabooks.com/study
Part 2–3 · Step 13 · Workbook pages 3–4

Compare numbers두 수 비교하기와 <, >, = 기호

Tens first, then ones. The mouth opens to the greater number.

한국어 요약

두 수를 비교할 때 십의 자리를 먼저, 같으면 일의 자리를 보는 순서와 <, >, = 기호를 영어로 가르쳐요. 58과 85처럼 숫자만 자리가 바뀐 수, tens와 ones가 섞인 비교, 한쪽이 식인 비교도 함께 다뤄요.

To compare two numbers, look at the tens first. If the tens are the same, look at the ones. On a number line, the number further to the right is greater.

We use three signs: > greater than, < less than, = equal to. The open mouth of the sign faces the greater number.

Sometimes one side is not a plain number: 4 tens and 12 ones, or 50 + 6. Change it into a plain number first. Then compare.

40414243444546474849505152
48 is further right. 48 > 43
  • Tens and ones (Lego towers and bricks)
  • A number line from 0 to 100, or a 100 square
  • Three cards with <, > and = on them
YOU 부모가 할 말LIA 아이가 할 만한 대답DO 손으로 할 일

Tens first, then ones

YOU“Which is greater, 72 or 68?”
LIA72.
YOU“How do you know?”
LIA7 tens is more than 6 tens.
YOU“Now 54 or 57? The tens are the same. What do we look at next?”
LIAThe ones. 57 is greater.

The number line

DOPoint to 43 and 48 on the number line.
YOU“Which one is further to the right?”
LIA48.
YOU“Numbers get greater as we go right. So 48 is greater than 43.”

The signs

YOU“This sign is greater than. This sign is less than. This one is equal to.”
YOU“The open mouth faces the greater number. It wants the bigger number!”
DOWrite 71 and 17. Let Lia put the right card between them.
YOU“Read it to me.”
LIA71 is greater than 17.

Always read the sentence aloud from left to right. This is how Lia learns which sign is which.

Same digits, different places

YOU“58 and 85 have the same digits. Are they the same number?”
LIANo. 85 has 8 tens. 58 has 5 tens.
YOU“Yes. The place of a digit changes its value. 58 is less than 85.”

Change it first

YOU“Which is greater: 3 tens, or 25 ones?”
LIA25 ones?
YOU“Let's change them. 3 tens is 30. 25 ones is 25. Which is greater now?”
LIA3 tens!
YOU“And 70 + 6, or 78? Work out the sum first.”
LIA70 + 6 is 76. 76 is less than 78.

Show the tens and ones with bricks. 10 ones can be swapped for 1 ten.

  • “Which number is greater?”
  • “Which number is smaller?”
  • “Which number is less?”
  • “Is 71 more than 17?”
  • “Is it bigger or smaller?”
  • “Which sign goes in the circle?”
  • “Which number is further along the number line?”
  • “Write <, > or = to compare the numbers.”
  • “Write the missing phrase.”
  • “Complete the sentences.”
  • “Circle the numbers on the number line.”
  • “Which place did you look at first? Why?”

    Good answers

    “The tens, because tens are worth more.”

  • “How can you check with a number line?”

    Note

    The greater number is further to the right.

  • “Is 4 tens and 12 ones the same as 52?”

    Note

    4 tens and 12 ones = 5 tens and 2 ones = 52. Yes.

  • “Can you read the sentence with the sign?”

    Good answers

    “71 is greater than 17.”

  • When

    Lia writes the sign the wrong way round.

    Ask her to read the sentence aloud. “Does it say 28 is greater than 82? Is that true?” Then: “The mouth eats the bigger number.”

  • When

    She thinks 58 and 85 are equal because they have the same digits.

    Build both with bricks. “How many tens here? How many tens there?”

  • When

    She compares 3 tens and 25 ones by looking at 3 and 25.

    “What is 3 tens? Say it as a number.” Change both sides into numbers, then compare.

  • When

    She compares 70 + 6 with 78 by looking only at 70.

    “Work out the sum first. What is 70 + 6?”

Game · Greater or less?

You need: digit cards 0–9 (or playing cards Ace to 9)

  1. Each player takes two cards and makes a 2-digit number.
  2. Say your number. Then compare in a sentence: “71 is greater than 46.”
  3. Swap the two digits. What happens? “17 is less than 46.”
  • Which is greater: 6 tens and 15 ones, or 7 tens and 2 ones?
  • Make the greatest and the smallest 2-digit numbers with the digits 3 and 8.
In the workbook

Number lines, < > = signs, numbers with swapped digits, tens and ones, sums, and number words.

Teaching Guide · Compare and order numbers · liabooks.com/study
Part 4 · Step 13 · Workbook pages 5

Find all the answers답이 여러 개인 비교 문제

Is there more than one answer? How do you know you have found them all?

한국어 요약

빈칸에 들어갈 수가 여러 개인 비교 문제를 영어로 가르쳐요. 답을 하나 찾은 뒤 다른 답을 차례로 세어 확인하는 법, 참/거짓 문장을 십 모형으로 보여 주는 법(10 ones를 1 ten으로 바꾸기)을 담았어요.

Some questions have more than one answer. In 63 < □ < 67, the box can be 64, 65 or 66.

To find all the answers, count in order from one end to the other and check each number. Then Lia can say how she knows she has found them all.

In a true or false question, change the tens and ones first. 10 ones make 1 ten.

62636465666768
63 < □ < 67: 64, 65 or 66
  • A number line or a 100 square
  • Tens and ones (Lego towers and bricks)
  • Paper and a pencil
YOU 부모가 할 말LIA 아이가 할 만한 대답DO 손으로 할 일

One answer, then more

DOWrite □ > 95.
YOU“Which number can go in the box?”
LIA96.
YOU“Good. Is there more than one answer?”
LIA97, 98 … any number greater than 95!

A number in between

DOWrite 63 < □ < 67.
YOU“The number is greater than 63 and less than 67. Let’s count from 63.”
LIA64, 65, 66.
YOU“What about 67?”
LIANo. 67 is not less than 67.
YOU“How do you know you have found them all?”
LIAI counted every number from 63 to 67.

Counting in order is the way to be sure. Ask Lia to point at each number on the number line.

True or false?

YOU“Is it true? 4 tens and 15 ones is greater than 5 tens and 2 ones.”
DOBuild 4 tens and 15 ones with bricks.
YOU“We have 15 ones. Can we make a ten?”
LIAYes. 10 ones make 1 ten. Now it is 5 tens and 5 ones.
YOU“So it is 55. Is 55 greater than 52?”
LIAYes. It is true.
  • “Is there more than one answer?”
  • “Are there any other answers?”
  • “How many answers can you find?”
  • “Can you find another number?”
  • “How do you know you have found them all?”
  • “What could the number be?”
  • “Is the statement true or false?”
  • “Use base 10 to show your answer.”
  • “Complete the sentences.”
  • “Is there more than one answer?”
  • “Is there more than one answer?”

  • “Which number is the smallest answer? Which is the greatest?”

    Note

    This helps her see the ends of the list.

  • “Why is 67 not an answer?”

    Good answers

    “67 is equal to 67, not less than 67.”

  • “Can you show it with base 10?”

    Note

    Swap 10 ones for 1 ten, then compare.

  • When

    Lia stops after one answer.

    Praise it, then ask: “Are there any other answers? Try the next number.”

  • When

    She includes the end numbers (63 or 67).

    Check the end numbers together: “Is 67 less than 67?”

  • When

    She thinks 4 tens and 15 ones is 415 or 45.

    Build it with bricks. Count the ones. Make a ten from 10 ones.

Game · Secret number

You need: nothing

  1. Think of a number. Give a clue: “My number is greater than 61 and less than 65.”
  2. Lia says all the numbers it could be: “62, 63 or 64.”
  3. Give one more clue to find it: “It is not 63. It is less than 63.” Then swap.
In the workbook

Boxes with more than one answer, a thinking question, and two true or false sentences.

Teaching Guide · Compare and order numbers · liabooks.com/study
Part 5 · Step 14 · Workbook pages 6

Order objects and numbers수를 순서대로 늘어놓기

Smallest first, or greatest first.

한국어 요약

여러 수를 작은 수부터, 큰 수부터 늘어놓는 법을 영어로 가르쳐요. smallest, greatest, ascending, descending이라는 말과, 십의 자리로 먼저 나누고 일의 자리로 정리하는 순서를 대본과 놀이로 담았어요.

To order numbers, find the smallest and put it first. Then find the next one, and the next. Smallest first is ascending order. Greatest first is descending order.

Use the same rule as comparing: tens first, then ones.

14404144
ascending order
  • Small cards with numbers on them
  • Tens and ones (Lego towers and bricks)
YOU 부모가 할 말LIA 아이가 할 만한 대답DO 손으로 할 일

Order towers

DOBuild three numbers with bricks: 23, 32 and 3.
YOU“Which is the smallest?”
LIA3. It has no tens.
YOU“Which is the greatest?”
LIA32.
YOU“So in order, smallest first: 3, 23, 32.”

Ascending and descending

YOU“Smallest first is called ascending. It goes up, like stairs.”
YOU“Greatest first is called descending. It goes down.”
YOU“Can you say 3, 23, 32 in descending order?”
LIA32, 23, 3.

Five numbers

DOWrite 61, 16, 66, 60 and 6 on cards.
YOU“First, sort them by tens. Which have 6 tens?”
LIA61, 66 and 60.
YOU“Now order those by ones. Then put the others in.”
LIA6, 16, 60, 61, 66.

Moving cards is easier than writing. Let Lia move them, then read the line aloud.

  • “Put the numbers in order.”
  • “Start with the smallest.”
  • “Start with the greatest.”
  • “Order from smallest to greatest.”
  • “Order from greatest to smallest.”
  • “Write them in ascending order.”
  • “Write them in descending order.”
  • “Which number comes first?”
  • “Write the numbers in order. Start with the smallest.”
  • “Complete the sentences.”
  • “How did you find the smallest number?”

    Good answers

    “It has the fewest tens.”

  • “Two numbers have the same tens. What do you do?”

    Note

    Look at the ones.

  • “Can you read your line backwards? What order is that?”

    Note

    Descending order.

  • When

    Lia puts 60 before 16. She compares the ones digits (0 is less than 6) instead of the tens.

    Sort by tens first: “Which numbers have 1 ten? Which have 6 tens?”

  • When

    She mixes up ascending and descending.

    “Ascending goes up, like going up the stairs. Descending goes down.” Walk up and down a step.

Game · Line up!

You need: number cards, or toys with number labels

  1. Give Lia four or five numbers.
  2. Say “ascending” or “descending”. Lia lines them up as fast as she can.
  3. She reads the line aloud. Then she gives you numbers and you line them up.
In the workbook

Three groups of numbers to put in order, smallest first.

Teaching Guide · Compare and order numbers · liabooks.com/study
For you D

Everyday English for maths time수학 시간 생활 영어

Useful sentences for giving instructions, praising and helping.

Starting and giving instructions

SayIt means
Let's do some maths.Start of the session
Get your pencil, please.
Read the question.
Have a go.Try it (it's OK to make a mistake)
Show me.Show with objects or fingers
Count with me.
Write the number sentence.Write 5 + 3 = 8
Fill in the missing number.Complete the gap
Explain your thinking.Say how you did it
Check your answer.
Circle the right one.
Underline the maths word.
Take your time.There is no hurry
Say it in a full sentence.
Point to …
Let's do one together.
  • Let's do some maths.It meansStart of the session
  • Get your pencil, please.It means
  • Read the question.It means
  • Have a go.It meansTry it (it's OK to make a mistake)
  • Show me.It meansShow with objects or fingers
  • Count with me.It means
  • Write the number sentence.It meansWrite 5 + 3 = 8
  • Fill in the missing number.It meansComplete the gap
  • Explain your thinking.It meansSay how you did it
  • Check your answer.It means
  • Circle the right one.It means
  • Underline the maths word.It means
  • Take your time.It meansThere is no hurry
  • Say it in a full sentence.It means
  • Point to …It means
  • Let's do one together.It means

Praise that helps

Praise the effort and the thinking, not only the right answer. This helps children try hard things.

  • “Great thinking!”
  • “I like how you explained that.”
  • “You didn't give up. Well done!”
  • “That's a clever way!”
  • “You checked your answer. Good job!”
  • “You used a new maths word!”
  • “You found the mistake yourself!”
  • “Brilliant! Can you do another one?”
  • “You're getting faster!”
  • “I can see you worked hard.”

When the answer is wrong

  • “Nearly! Let's check together.”
  • “Hmm, let's look again.”
  • “Can you show me with the counters?”
  • “What do you notice?”
  • “Read the question one more time.”
  • “Mistakes help us learn.”
  • “That's a good try. What could we change?”
  • “Are you sure? How can we check?”

Ending the session

  • “What did you learn today?”
  • “What was easy?”
  • “What was tricky?”
  • “Which new word did you learn?”
  • “Can you teach me one thing?”
  • “What do you want to practise tomorrow?”

How Lia can explain (sentence stems)

Sentence stemExample
___ and ___ make ___.7 and 3 make 10.
I have ___. I need ___ more to make 10.I have 6. I need 4 more to make 10.
The whole is ___. The parts are ___ and ___.The whole is 13. The parts are 9 and 4.
I know ___, so I know ___.I know 3 + 4 = 7, so I know 30 + 40 = 70.
___ ones + ___ ones = ___ ones, so ___ tens + ___ tens = ___ tens.2 ones + 5 ones = 7 ones, so 2 tens + 5 tens = 7 tens.
First I ___. Then I ___.First I made 10. Then I added 3.
I think ___ is right / wrong because ___.I think Amir is wrong because 20 + 50 is 70.
The answer is ___ because ___.The answer is 9 because 9 + 7 = 16.
  • ___ and ___ make ___.Example7 and 3 make 10.
  • I have ___. I need ___ more to make 10.ExampleI have 6. I need 4 more to make 10.
  • The whole is ___. The parts are ___ and ___.ExampleThe whole is 13. The parts are 9 and 4.
  • I know ___, so I know ___.ExampleI know 3 + 4 = 7, so I know 30 + 40 = 70.
  • ___ ones + ___ ones = ___ ones, so ___ tens + ___ tens = ___ tens.Example2 ones + 5 ones = 7 ones, so 2 tens + 5 tens = 7 tens.
  • First I ___. Then I ___.ExampleFirst I made 10. Then I added 3.
  • I think ___ is right / wrong because ___.ExampleI think Amir is wrong because 20 + 50 is 70.
  • The answer is ___ because ___.ExampleThe answer is 9 because 9 + 7 = 16.

Counting time

Short sentences you can use every day.

SayIt means
Let's count together.
Your turn.
Keep going.Continue
Start at …
Stop at …
Count up / count down.Forwards / backwards
Louder, please!
Say it after me.Repeat
What comes next?
What comes before …?
Write the number I say.Dictation
How do you spell …?
Cover it and write it.Spelling practice
Check with the 100 square.
Beat your score!Try to get more right
That's a new record!Best score
  • Let's count together.It means
  • Your turn.It means
  • Keep going.It meansContinue
  • Start at …It means
  • Stop at …It means
  • Count up / count down.It meansForwards / backwards
  • Louder, please!It means
  • Say it after me.It meansRepeat
  • What comes next?It means
  • What comes before …?It means
  • Write the number I say.It meansDictation
  • How do you spell …?It means
  • Cover it and write it.It meansSpelling practice
  • Check with the 100 square.It means
  • Beat your score!It meansTry to get more right
  • That's a new record!It meansBest score
  • “Great counting!”
  • “You didn't stop once!”
  • “You got past 100!”
  • “Beautiful spelling!”
  • “You beat your score!”
  • “Your English is getting better every day!”
  • “You worked it out yourself!”
Teaching Guide · Compare and order numbers · liabooks.com/study

이 세트의 단어

  • ascending — going up: from the smallest to the greatest
  • compare — look at two numbers and say which is greater, or if they are equal
  • descending — going down: from the greatest to the smallest
  • equal to ( = ) — the same amount
  • greater than ( > ) — more; a bigger number
  • greatest — the biggest number in a group
  • less than ( < ) — fewer; a smaller number
  • order — put numbers in a line from smallest to greatest (or greatest to smallest)
  • smallest — the least number in a group
  • symbol — a sign that means something in maths, like <, > or =
Teaching Guide · Compare and order numbers · liabooks.com/study

On one page

PartTopicThe big idea in one lineKey wordsWorkbook
Part 1Compare objectsThe greater number has more tens.more, fewer, greater than, less thanCompare objects
Part 2–3Compare numbersTens first, then ones. Turn tens and ones, or a sum, into one number first.<, >, =, equal toCompare numbers, Tens, ones and sums
Part 4Find all the answers63 < □ < 67 → 64, 65 or 66. Count to check.more than one answer, true, falseFind all the answers
Part 5Order numbersSmallest first is ascending. Greatest first is descending.smallest, greatest, ascending, descendingOrder numbers
  • Part 1TopicCompare objectsThe big idea in one lineThe greater number has more tens.Key wordsmore, fewer, greater than, less thanWorkbookCompare objects
  • Part 2–3TopicCompare numbersThe big idea in one lineTens first, then ones. Turn tens and ones, or a sum, into one number first.Key words<, >, =, equal toWorkbookCompare numbers, Tens, ones and sums
  • Part 4TopicFind all the answersThe big idea in one line63 < □ < 67 → 64, 65 or 66. Count to check.Key wordsmore than one answer, true, falseWorkbookFind all the answers
  • Part 5TopicOrder numbersThe big idea in one lineSmallest first is ascending. Greatest first is descending.Key wordssmallest, greatest, ascending, descendingWorkbookOrder numbers

Every day, ask these three questions

  • Question 1

    “How do you know?”

  • Question 2

    “Can you say it the other way round?”

  • Question 3

    “Is there more than one answer?”

Next in class

After these steps, the class will count in 2s, 5s and 10s, and then count in 3s. After that comes the Addition and Subtraction unit. Knowing tens and ones well makes adding and subtracting 2-digit numbers much easier.

Teaching Guide · Compare and order numbers · liabooks.com/study