Mathematics
Beginner
50 mins
Teacher/Student led
+90 XP
What you need:
IWB/Projector/Large Screen
base-ten blocks

Modelling Thousandths with Concrete and Visual Tools

Learn how to relabel base-ten blocks so the flat represents 1, then build and name decimals to thousandths using place-value columns and concrete models.

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    1 - Getting Started ~4 mins

    The rule today

    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.

    Illustration for Getting StartedHere are three sets of relabelled blocks. Read each one aloud as a decimal:

    • Set A: two rods.
    • Set B: three small cubes.
    • Set C: one tiniest cube.

    2 - Watch and Notice ~8 mins

    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.

    3 - Ten Times Smaller Each Step ~6 mins

    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.

    4 - Try It Together ~9 mins

    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.

    Build the decimal on the mat

    5 - Sketch the Columns in Your Copy ~3 mins

    COPYBOOK MOMENT

    Illustration for Sketch the Columns in Your CopyIn 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:

    • 0.003
    • 0.034
    • 0.207
    • 1.045

    6 - Class Challenge ~8 mins

    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.

    Build each decimal and check

    7 - What Did We Notice? ~4 mins

    MATHS TALK

    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?

    8 - What's Next ~3 mins

    What we did today

    • We relabelled the base-ten blocks so the flat is 1, the rod is 0.1, the small cube is 0.01 and the smallest cube is 0.001.
    • We built decimals to thousandths and matched each block to its place-value column.
    • We learned to say the holding zero aloud so 0.207 is never read as 0.27.
    • We saw that each step down is ten times smaller, so a thousandth is a thousand times smaller than a whole.
    Coming up

    Next we put these decimals in order, lining up the decimal points and comparing column by column from the left.

    Pupil practice
    Module 1 · Place Value, Decimals and the Number System Number
    Lesson 3 · Modelling Thousandths with Concrete and Visual Tools
    Download Activity Book page (PDF)
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