About five million people live in Ireland. That is a huge number. How would you write it down with all of its zeros?
Hands up: what is the biggest number you have ever seen written down somewhere real — on a sign, a screen, or a price?
Take three hands-up answers, not open call-outs. Give five seconds of quiet think-time before any hands go up.
If a pupil names a number, slot it onto a quick place-value frame on the IWB as a teaser for the modelling step — but keep this brief, the full frame is built next.
These are base-ten blocks, also called Dienes blocks. We build numbers with them across seven columns. From the left, the columns are millions (M), hundred-thousands (HTh), ten-thousands (TTh), thousands (Th), hundreds (H), tens (T) and units (U).
Watch as we build this number with place-value blocks. Look hard at the three columns sitting empty in the middle and on the right — what is holding them open?
Now there are zeros scattered all the way through this one. Read it slowly: one million, fifty thousand, six hundred and seven.
This time we have millions and just a few tens — everything in between is empty. What do you think the zeros are doing here?
Every single column is filled right up. What do you think happens to this number if we add just one more?
Walk each example aloud, one at a time, naming the seven columns millions / hundred-thousands / ten-thousands / thousands / hundreds / tens / units from the left.
Stress that the comma falls every three digits from the right, marking off thousands then millions.
We work through these numbers together on the place-value chart, sliding each digit into its proper column, from millions all the way down to units. The first number, 3,072, is already on the chart — we read it through as our worked example. Then we build the rest one at a time: 70,309 → 105,008 → 800,070.
Each time, one pupil comes to the board and builds the number while the rest of the class predicts which columns will stay empty. The zeros catch people out, so we say each column aloud before we check it.
This round is for talking it through together. The chart loads with 3,072 already in place — walk this one through yourself as the worked demo, naming each column aloud, then call the next three for pupils to build.
For each new number, send one pupil to the chart to name and place each digit from the left; the rest of the class predicts which columns stay empty before the build is checked.
Watch for the trailing-zero trap — pupils often forget to read the empty units in 800,070. Revoice a strong placement: 'so the eight hundred thousands is full, but everything below it is empty except the seventy.'
In your maths copy, sketch the seven place-value columns and label them M, HTh, TTh, Th, H, T and U across the top. Then write each of these numbers into the columns, one under the other, lining up the digits in their proper places:
Read each number aloud to yourself after you write it.
Walk the room glancing at column labels and digit alignment — no marking, this is whole-class copybook practice.
Look for pupils who drift a digit one column out of place when a number is shorter than seven digits; nudge them to right-align into the units column first.
Today we build these numbers on the place-value blocks, one at a time, and check each one before we move on: 305,072 → 1,400,008 → 6,070,500 → 9,008,040. Each one has zeros hiding in tricky places, so look carefully before you build.
This round is the practice bank — pupils take turns at the board, check each answer, and the class confirms before moving on. Keep the board work brisk rather than over-explaining.
If time is running short, drop 6,070,500 (the middle build) and keep the other three — that protects the closing maths-talk and summary.
Use the teacher-narration callout on each: 'what's tricky about the zeros here?' The class predicts the empty columns before the pupil builds.
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