Year 4 · Numbers to 10,000
Counting in 6s, 7s, 9s, 25s and 1000s
Count in multiples of 6, 7, 9, 25 and 1000
Lesson overview
What you'll learn in this lesson
Count in multiples of 6, 7, 9, 25 and 1000
Key learning points
- • Sixes and sevens
- • Nines have a trick
- • Twenty-fives like money
- • Thousands
This lesson at a glance
- 20 minutes
- 19 parts to scroll through
- 4 quick checks
- No marked quiz yet
- Gentle pace: short sittings with pauses
Words to know
Scroll down — the lesson carries on below
Watch & discover
Part 1 of 19
Watch first
Counting in 6s, 7s, 9s, 25s and 1000s
Watch how ones build into tens, hundreds, thousands and beyond.
Do it for real
The practicals below use what the film shows, with a full method you can follow at home.
In a nutshell
Count in multiples of 6, 7, 9, 25 and 1000
What you already know
Part 2 of 19
Before we start
What you already know
You can count in 2s, 5s and 10s and know what a multiple is.
Key words
Part 3 of 19
Key words
Words you'll need today
- multiple
- A number you land on when you count in steps, like 18 in the 6s.
- step
- The amount you add each time you count on.
- pattern
- Something that repeats, like the ones digits in the 9s.
Learning cycle
Part 4 of 19
Learning cycle 1 of 2
Part 1 — Hearing the steps
A short piece of teaching, then a check to make sure it has landed.
Explore the idea
Part 5 of 19
Learn
Sixes and sevens
Count in 6s: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60. Notice every answer is even, and every other one ends in a 0 or a 6. Sevens are harder because they have no neat pattern, so say them out loud in pairs: 7, 14 — 21, 28 — 35, 42 — 49, 56 — 63, 70.
Explore the idea
Part 6 of 19
Learn
Nines have a trick
Count in 9s: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90. The tens digit goes up by one and the ones digit goes down by one every time. The two digits of every answer add up to 9, which is a quick way to check.
Quick check
Part 7 of 19
Quick check
What comes next: 6, 12, 18, 24, ...?
Quick check
Part 8 of 19
Quick check
Which of these is a multiple of 9?
Reset break
Part 9 of 19
Pause
That's sitting 1 of 2 done
Stretch, get a drink, look out of the window. There is no timer and nothing is counting down — your place is saved, so you can come back in five minutes or tomorrow.
Learning cycle
Part 10 of 19
Learning cycle 2 of 2
Part 2 — Using the steps
A short piece of teaching, then a check to make sure it has landed.
Explore the idea
Part 11 of 19
Learn
Twenty-fives like money
Count in 25s: 25, 50, 75, 100, 125, 150. Four 25s make 100, so 25s come in groups of four. If you can count 25p coins to a pound, you already know this one.
Explore the idea
Part 12 of 19
Learn
Thousands
Counting in 1000s only changes the thousands digit: 2,300, 3,300, 4,300, 5,300. Everything after the comma stays exactly the same. That makes it the easiest step of all, as long as you keep the other digits still.
Quick check
Part 13 of 19
Quick check
Count in 25s from 75. What comes next?
Quick check
Part 14 of 19
Quick check
1000 more than 4,260 is
Common mix-ups
Part 15 of 19
Common mix-ups
Things people often get wrong
- Counting in 7s by adding 10 then taking 3 away, and forgetting the take-away.
- Changing the hundreds digit when counting in 1000s.
- Thinking every multiple of 6 is also a multiple of 4.
Challenge round
Part 16 of 19
Game · Sort it
Which of these are true?
Drag each card into the right column. Tap a card first if dragging is fiddly.
True
Not true
Challenge round
Part 17 of 19
Game · Fill the gaps
Finish the sentences
Choose the word that belongs in each gap.
____ are harder because they have no neat pattern, so say them out loud in pairs: 7, 14 — 21, 28 — 35, 42 — 49, 56 — 63, 70.
Counting in 1000s only changes the ____ digit: 2,300, 3,300, 4,300, 5,300.
Mastery quiz
Part 18 of 19
No quiz for this one
This lesson has no marked quiz attached yet.
Lesson round-up
Part 19 of 19
Lesson round-up
Ready when you are
Quiz score
Not sat
Games
Not played
Points this lesson
0
Best run
0 in a row
Luna: 0 out of 4 on the practice checks. Only if you feel up to it — one more?
Ask LunaDo the work
Your written work for this lesson
This is the part you'd do in your book at school. Pick the pieces below, write here or on paper, and photograph anything you draw or work out.
The cost of a school trip
A school is planning a trip to a wildlife park. The coach costs £480 however many people go. Entry costs £9.50 for each pupil and each adult goes free. The school says every pupil must pay the same amount, and the trip must not lose money.
If 60 pupils go, the coach works out at £8 each, so the total for each pupil is £17.50. If only 40 pupils go, the coach works out at £12 each, so the price rises to £21.50. The teacher explains that the coach is a fixed cost and the entry is a cost per person — which is why the price per pupil changes when the number changes.
The school decides to charge £20 and to use anything left over for a second trip later in the year.
Written for Good Learning Co.
Reading questions
- Work out the total cost of the trip if 50 pupils go.
- Show why the price per pupil falls when more pupils go, using numbers.
- At £20 each, how many pupils must go before the trip makes money? Show your working.
Working out
Working outDo the practice questions on paper, showing every step — not just the answer. Mark them yourself and circle anything you got wrong.
10–15 questions
Worked example, explained
WritingCopy one question out and write underneath, in words, why each step works.
1 question, 4–5 sentences
Problem in words
Working outWrite your own real-life problem that uses today's method, then solve it.
1 problem + solution
Saved as you type.
Part 1 of 19 · Watch & discover