AC9M4M01 · YEAR 4 · MEASUREMENT

Reading Scaled Instruments

ACARA v9 CONTENT DESCRIPTION “interpret unmarked and partial units when measuring and comparing attributes of length, mass, capacity, duration and temperature, using scaled and digital instruments and appropriate units”
Builds on: Measuring with Metric Units (AC9M3M01) · Tenths and Hundredths (AC9M4N01). Year 3 chose the right unit and estimated with benchmarks; Year 4 reads the marks on a real instrument precisely, for length, mass, capacity, duration and temperature, on scaled and digital instruments.

The marks carry the meaning

A ruler, a kitchen scale, a measuring jug, a thermometer and a clock all work the same way: a line of marks, each worth a fixed amount, and a reading taken from where the pointer, the hand or the level falls. The Year 4 step is to read these marks precisely rather than estimating. The whole skill rests on one question asked first — what is each mark worth? — because once that is known, the rest is counting. A ruler marked every centimetre, a jug marked every hundred millilitres and a thermometer marked every degree are read by the same method, even though they measure completely different quantities. Digital instruments show the number directly, and reading their decimal point or colon is the same skill in a new form.

Read where the pointer falls

Reading a scale is counting from zero to where the pointer or arrow lands. On a centimetre ruler each small mark is one centimetre, and the numbered marks every five give a quick way to count without losing place: jump in fives to the nearest numbered mark, then count the singles. This is the same skip-counting from Number, now doing measuring work. The habit to build is starting from a known point, usually zero, and counting marks in order — never guessing from the rough position, because precise reading is exactly what a marked instrument makes possible.

Read the scale
On a marked instrument, every small division has a value. Read the arrow.
The arrow points to a mark on the ruler. How many centimetres is it?

Setting a value, not just reading one

Instruments work in both directions: a cook setting a kitchen scale to 400 grams is using the marks to reach a target, not to read one. Moving a pointer to a chosen value needs the same understanding of what each mark is worth. On a scale marked every 50 grams, reaching 400 grams means counting eight marks up from zero. Whether reading a measurement or setting one, the marks are the shared language, and a child who can do both truly understands the instrument rather than just glancing at a number.

Find the mark
Set the pointer to a value. Knowing what each mark is worth makes it exact.
Move the pointer to 400 g. Each small mark is fifty grams.

A scale can run upward

A thermometer shows that scales are not only horizontal rulers: here the marks run vertically and the reading is the height the coloured level reaches. Temperature is a new quantity, measured in degrees, but the reading method is identical — find what each mark is worth, then read the level against the marks. Numbered every ten degrees with single-degree marks between, a thermometer is read just like a ruler stood on end. Meeting the same skill on a different instrument and a different quantity shows children that reading a scale is one general idea, not a separate trick for each tool.

Read the thermometer
Temperature uses a vertical scale in degrees. Read the level against the marks.
What temperature does the thermometer show? Each small mark is one degree.

First, find what one mark is worth

The key to any instrument, especially a partly marked one, is working out the value of a single small division before reading anything. Take the gap between two numbered marks and share it among the equal spaces the small marks make, which is one more than the number of small marks: a jug numbered every hundred millilitres with no marks between reads in hundreds; a ruler numbered every five centimetres with four small marks between has five spaces, so it reads in single centimetres. Scales differ in how finely they are divided, so this step cannot be skipped. Once the value of one mark is known, even an unfamiliar instrument becomes readable, which is the heart of interpreting scaled instruments.

What is each mark worth?
Reading a scale starts with finding the value of a single small division.
Before reading any instrument, work out what one small mark is worth.

Reading between the marks

Real measurements often fall between two marks, and a good reader judges the value from where the pointer sits rather than forcing it onto the nearest line. An arrow exactly halfway between the thirty and forty marks reads thirty-five, because halfway between the marks is halfway in value. This judgement — estimating the in-between, using the known value of each mark — is the most refined reading skill, and it connects straight to the tenths and hundredths of decimals, where the space between two whole numbers is itself divided. With marks understood, scales read in both directions, and in-between values judged, a child can measure length, mass, capacity, duration and temperature on any scaled instrument with real precision.

Between the marks
A reading often lands between two marks. Judge the value from where it sits.
The arrow sits between 30 and 40. What value is it?

Duration: a clock is a scale too

A clock face is a scaled instrument. The numbers mark every five minutes and the small marks between them are single minutes, with no numbers of their own, so a duration is read the way a ruler is: start at the first time and count on, in fives at the numbers and ones between. From 10:05 to 10:23 the minute hand passes three jumps of five and three single minutes, 18 minutes in all. The common slip is to give the clock’s second reading, 23, as the answer; how long something took is the gap between two readings, not the last one.

How long did it take?
A clock is a scaled instrument: numbers every five minutes, small unnumbered marks for single minutes.
Quiet reading began at 10:05, where the dashed hand points. The clock shows when it ended. How many minutes did it take?

Digital instruments still need reading

Many instruments show a number instead of a pointer: a digital kitchen scale, a digital thermometer, a stopwatch. The number is already there, but two parts of it still need care. The decimal point splits whole units from tenths, so 1.5 kg is one and a half kilograms and 36.8 °C is just under 37 degrees. The colon on a stopwatch or a timer splits minutes from seconds, so 01:30 is 1 minute and 30 seconds, not 130 seconds. Picturing the reading on a scale, between the two whole numbers it sits between, is the quickest check that it has been read the right way.

Read the digital display
A digital instrument shows the number, but the decimal point and the colon still have to be read.
The stopwatch shows 01:30. What does the reading mean?
Match instrument to quantity
Every quantity has a matching instrument and units, all read by their scales.
Each quantity has its own instrument and units. Reveal each row to match them.
Quick self-check
1. On a ruler, the numbered marks are every 5 cm with four small marks between. Each small mark is...
2. A measuring jug is marked 0 to 1000 mL with a mark every 100 mL. Each mark is...
3. A thermometer numbered every 10 degrees, with nine small marks between, has each small mark worth...
4. An arrow sits exactly halfway between the 70 and 80 marks on a millilitre scale. It reads...
5. Which instrument and unit go with measuring temperature?
6. A lesson began at 9:15 and the clock now shows 9:42. How long has the lesson run?
7. A digital kitchen scale shows 2.5 kg. That is...
Teaching pack: a week of lessons, free to printFive ready-to-teach lessons for this unit: teacher plans, student worksheets, cut-out reading cards, clock cards and display cards, a mini-check and every answer. Print it or save as PDF, and the week is prepared.