Here is our new rule for today: the big flat block is now worth just 1, and every block below it is ten times smaller than the one above. So the rod is 0.1, the small cube is 0.01, and the tiniest cube is 0.001.
Here are three sets of relabelled blocks. Read each one aloud as a decimal:
Display the three relabelled-block sets (two rods, then three hundredth cubes, then a single smallest cube) as pupils settle. Take three hands-up readings, not open call-outs. Confirm each: Set A is 0.2, Set B is 0.03, Set C is 0.001.
The interactive shows four decimals made from place-value blocks, each in the units, tenths, hundredths and thousandths columns. Notice which columns are empty and how we write the zeros that hold them.
0.003 — three thousandths only; stress tenths and hundredths both empty. Ask what is holding those two places open.
0.034 — three hundredths and four thousandths, tenths empty. Read it as such, not 'thirty-four'.
0.207 — two tenths, no hundredths, seven thousandths. The pitfall: say the zero aloud so it isn't read as 0.27. Point at the zero in the hundredths column on screen; drop the zero and it becomes a bigger number.
1.045 — one whole flat, four hundredths, five thousandths, tenths empty. Connect the flat to the whole; the rest fall under the decimal point.
The interactive shows the blocks for ten thousandths equal to one hundredth, and ten hundredths equal to one tenth. Look at how ten of one size match the next size up, and what happens each step down.
Each step down is ten times smaller. To go from one whole all the way to one thousandth we step down three times: ten times, then ten times again, then ten times again. That is 10 × 10 × 10 = 1000, so one thousandth is a thousand times smaller than one whole.
First: ten thousandths regroup into one hundredth. Point as they combine, then state one hundredth is ten thousandths.
Second: ten hundredths regroup into one tenth. Same move, one tenth is ten hundredths.
Say the chain aloud pointing at each: tenth, then hundredth, then thousandth, each one ten times smaller.
Close with the multiplication: whole down to thousandth is three steps, 10 x 10 x 10 = 1000, so one thousandth is a thousand times smaller than one whole.
Build it slowly so they see it, not just hear it, and leave the multiplication for them to rebuild in the maths-talk.
Now we build some together. When I call a decimal, one pupil comes up and builds it on the place-value mat using the U / t / h / th columns. Everyone else watches the screen and reads the in-words readout aloud with the class before we agree it is right. We will do five or six of these, taking turns at the board.
This round is for talking it through together — pupils take turns at the board and the class reads the in-words readout aloud, then agrees or corrects.
Call five or six decimals that stretch the thousandths column and the holding zeros, e.g. 0.006, 0.012, 0.205, 1.030, 0.090, 2.003. After each build, have the class read the in-words readout aloud before you confirm. Watch for pupils dropping a column when there is a zero — pause and ask 'which column is empty here, and what is keeping it open?'
In your maths copy, sketch the four place-value columns and label them U, t, h, th. Then draw the blocks for each of these decimals, one under the other, and write the decimal in standard form (the normal way we write a number, like 0.207) beside each drawing:
Walk the room glancing at the column labels and the holding zero in 0.207 — no marking, this is whole-class copybook practice. Watch for pupils who draw blocks but forget to write the matching decimal beside them.
Today we work through five decimals together: 0.008, then 0.052, 0.306, 1.009, and 2.405. Build each one on the mat and use the Check button to confirm it before we move on. The holding zeros catch people out, so we'll say each one aloud first.
These are the practice questions — 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.
The practice set rises in difficulty: 0.008 is a single thousandths build, 1.009 and 2.405 add a whole-number part. Before each build, ask 'which columns are empty here?' For 0.306 say 'three tenths, no hundredths, six thousandths' to head off the read-as-0.36 slip.
We saw on the board that each step down is ten times smaller. So why is one thousandth a thousand times smaller than one whole? And how many thousandths would you need to make a single tenth?
Listen for pupils linking the steps they just watched: tenth, then hundredth, then thousandth, each ten times smaller, so a thousandth is ten × ten × ten = a thousand times smaller than the whole. Revoice a strong answer: 'so it takes ten thousandths to make one hundredth, and a hundred thousandths to make one tenth'. Head off the idea that a longer decimal is always a bigger number.
Next we put these decimals in order, lining up the decimal points and comparing column by column from the left.
Recap the relabelling rule once more before the activity-book practice: same blocks, new values, each ten times smaller than the one before.
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