Topic ladders · Measurement · Family table
Family table: Measurement
All four rungs side by side. A younger child and an older one can do the same topic together, each at their own level.
To print it, use your browser's Print button; it fits best on a page turned sideways (landscape). The full steps, the help for grown-ups and the notes for teachers are on the topic page.
| Step | Classes 1–3 | Classes 4–7 | Classes 8–10 | Classes 11–12 |
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| Activity | Measuring with Our Hands and Feet | Measuring Accurately and Converting Units | Area, Volume and Real Measurements | Measurement, Error and Precision |
| Safety | – | – | – | – |
| What you need |
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| Notice | Look at the length of a table, a book, or the room. How long does it look? | Look at the markings on a ruler. What do the numbers and lines mean? Where is the 0 line? (On many rulers it is not at the very edge.) | Look at a book cover, a floor tile, or a room. How much space does it cover? | Every measurement has some uncertainty. Look at the smallest division on your instrument. |
| Guess | How many of your hand-spans (or foot-lengths) will fit along it? | Estimate the length of three objects in centimetres before measuring. | Estimate the area of a rectangular surface and the volume of a box. | How much error might there be when measuring length or mass? |
| Try | Measure by placing your hand or foot one after another, with no gaps. Count carefully. | Measure each object carefully in cm, starting from the 0 line. Convert one measurement into metres. | Measure length, breadth (and height). Calculate area (l × b) and volume (l × b × h). | Take at least five measurements of the same quantity. Record all readings. |
| Observe | Write the number. Try the same object with a friend's hand or a grown-up's hand. Is the number the same? | Compare your estimates with the actual measurements. How close were you? | Check your calculations. Convert units if needed. Careful: 1 m = 100 cm, but 1 m² = 100 × 100 = 10,000 cm², and 1 m³ = 1,000,000 cm³. | Calculate the mean, the range, and an estimate of uncertainty (about half the range; if all readings agree, use the smallest division). |
| Explain | Why did you and your friend get different numbers? | Write the measurements in both cm and m. Explain how you converted (100 cm = 1 m, so 150 cm = 1.5 m). | Show your working clearly. Explain why we multiply the dimensions (how many unit squares fit in each row, times the number of rows). | Discuss absolute and percentage error (percentage = uncertainty ÷ mean × 100). Explain how instrument precision affects results. |
| Ask another question | What else can you measure this way? Can you measure how tall you are? | Can you measure the perimeter of a book or a table? What units will you use? | How would you find the area of an irregular shape (count squares on graph paper)? Or the volume of a cylinder (πr²h)? | How does error propagate when you calculate area or density from measured values? |
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