Free Printable Year 2 Length, Capacity and Mass Worksheets

About This Year 2 Maths Topic

In this unit, children measure and compare objects according to three important attributes:

• length — how long, tall or wide something is;
• capacity — how much a container can hold;
• mass — how heavy or light an object is.

Children use uniform informal units rather than standard units such as centimetres, litres and kilograms.

Informal units may include:

• connecting cubes;
• paper clips;
• handspans;
• craft sticks;
• spoons;
• cups;
• counters used with balance scales.

The units must be the same size or mass so that measurements can be compared fairly.

Children also explore why smaller units may provide more accurate measurements and why smaller units usually produce a larger numerical result.

These activities support Australian Curriculum Version 9.0 content descriptor AC9M2M01 and its associated elaborations.

The Big Idea for Parents

For example, if one child measures a table with short paper clips and another uses long craft sticks, their numerical results will be different even though the table has not changed.

Children should understand that:

• smaller units usually produce a larger count;
• larger units usually produce a smaller count;
• smaller units may provide greater accuracy;
• all units used in one measurement should be uniform.

Learning Intentions

Children will learn to:

• identify length, capacity and mass as measurable attributes;
• choose suitable informal units;
• measure length without gaps or overlaps;
• use larger units for long distances;
• use smaller units when greater accuracy is required;
• compare the capacity of containers;
• measure capacity using spoons and cups;
• compare mass using balance scales;
• use equal-mass units when measuring mass;
• record measurement results clearly;
• compare measurements and find differences;
• explain why units must be uniform;
• explain how unit size affects the numerical result;
• investigate measurement using handspans;
• compare animal track length, width and depth.

Student Success Criteria

Key Vocabulary

Teacher Guide for Parents

Teachers begin measurement with direct comparisons before using repeated informal units.

At home, follow this sequence: identify the attribute, estimate, choose a unit, measure, compare and explain.

1. Identify the Attribute

Before measuring, ask what property is being investigated.

• Length questions involve long, short, tall or wide.
• Capacity questions involve how much a container can hold.
• Mass questions involve how heavy or light something is.

2. Compare Directly Before Measuring

Place two objects side by side to compare their length.

Pour the contents of one container into another to compare capacity.

Place two objects on opposite sides of a balance scale to compare mass.

Direct comparison helps children understand the attribute before counting units.

3. Choose a Suitable Unit for Length

The informal unit should suit the size of the object.

• Use craft sticks or handspans for the width of a room.
• Use connecting cubes or paper clips for a pencil.
• Use smaller units for irregular lengths or greater accuracy.

Ask your child to explain why the chosen unit is practical.

4. Measure Length Correctly

Place the first unit at the starting edge of the object.

Repeat the units in a straight line with:

• no gaps;
• no overlaps;
• the same unit used each time;
• each unit placed in the same orientation.

Count the units only after they have been positioned correctly.

5. Use Longer Units for Long Distances

Measuring a long distance with tiny units may be slow and difficult.

For the width of a room, handspans, footsteps or long craft sticks may be more practical than paper clips.

Ask:

“Would a larger unit make this measurement easier?”

6. Use Smaller Units for Accuracy

A large unit may not fit exactly into the measured length.

For example, a book may measure:

• about 2 long craft sticks;
• exactly 14 connecting cubes.

The smaller unit may provide a more precise measurement.

7. Compare Large and Small Units

Measure the same object using two different unit sizes.

For example:

• a desk is 5 craft sticks long;
• the same desk is 27 connecting cubes long.

Explain that the desk did not change. The number changed because the units were different sizes.

8. Estimate Before Measuring

Ask your child to predict how many units will be needed.

After measuring, compare the estimate with the actual result.

Estimation encourages children to think about the relationship between the object and the chosen unit.

9. Measure Capacity with Spoons

Use dry materials such as rice, lentils or sand in a suitable work area.

Fill a container using one level spoon at a time.

Count and record the number of spoonfuls needed.

Repeat with another container using the same spoon.

10. Measure Capacity with Cups

A cup may be more suitable for larger containers.

Use level cupfuls and fill each container to the same agreed point.

Record the results in a table.

The large jug holds 2 cups more than the small jug.

11. Use Smaller Capacity Units for Accuracy

A container may hold more than 3 cups but less than 4 cups.

To measure more accurately, change to a smaller unit such as a spoon.

Children should explain why the smaller unit provides more detailed information.

12. Compare Container Capacity Fairly

Use the same filling material and the same measuring unit for every container.

Keep each spoonful or cupful as consistent as possible.

Fill each container to the same agreed level.

13. Use Balance Scales to Compare Mass

Place one object on each side of a balance scale.

• The lower side holds the heavier object.
• The higher side holds the lighter object.
• A level scale shows equal mass.

Ask your child to predict the result before testing.

14. Measure Mass with Informal Units

Place an object on one side of the balance scale.

Add equal-mass counters, cubes or weights to the other side until the scale balances.

Count the units used.

For example:

• the toy car balances with 8 cubes;
• the toy truck balances with 12 cubes.

The truck is 4 cubes heavier than the car.

15. Use Equal-Mass Units

The informal units used to measure mass must each have the same mass.

A mixture of different-sized blocks would not provide a fair measurement.

16. Explain How Much Heavier

Children should compare the recorded measurements.

If one object measures 11 cubes and another measures 7 cubes:

11 − 7 = 4

The first object is 4 cubes heavier.

17. Explore Why Units Must Be Uniform

Ask two people with different shoe sizes to measure the same distance using their shoes.

Compare the numerical results.

The person with smaller shoes is likely to use more shoe lengths.

Discuss why shoe lengths from different people are not uniform units.

18. Measure with Handspans

A handspan is the distance from the tip of the thumb to the tip of the little finger when the hand is stretched.

Use one person’s handspan repeatedly when measuring one object.

Compare the result with another person’s measurement and discuss why different hand sizes may produce different results.

19. Investigate First Nations Measurement Practices

First Nations Australians have used body-based measurement systems, including hands and other body parts, for practical purposes.

These measures may support consistent sizing when producing objects such as nets for particular purposes.

Use trusted educational sources and maintain the cultural context of the measurement practice.

20. Measure Animal Tracks

Use photographs, drawings, models or safely observed tracks.

Measure:

• track length;
• track width;
• track depth.

Use the same informal unit when comparing several tracks.

21. Compare Track Measurements

Record the measurements in a table.

Ask children to explain which track is longer, wider or deeper.

22. Connect Track Measurements to Animal Behaviour

First Nations Australians may interpret measurable track attributes together with other knowledge of Country and Place to understand animal movement and behaviour.

Children can discuss simple observations such as:

• one track being larger than another;
• a track appearing deeper in soft ground;
• different spacing between tracks;
• possible differences in animal size or movement.

Measurement alone should not be presented as providing a complete interpretation.

23. Record the Measurement Process

Children should record:

1. what attribute was measured;
2. which informal unit was chosen;
3. why the unit was suitable;
4. the measurement result;
5. how the objects were compared;
6. whether a smaller unit improved accuracy.

24. Explain and Justify Results

Encourage complete explanations.

Instead of:

5 cups

write:

The large container holds 5 cups, which is 2 cups more than the small container.

Recommended Teaching Sequence at Home

1. Identify the attribute being measured.
2. Compare objects directly.
3. Estimate the measurement.
4. Choose a suitable informal unit.
5. Check that the units are uniform.
6. Measure without gaps or overlaps.
7. Record the result.
8. Measure another object using the same unit.
9. Compare the measurements.
10. Find how much more or less.
11. Repeat using a smaller unit when greater accuracy is needed.
12. Explain and justify the result.

Common Misconceptions and How Parents Can Help

Simple Home Length, Capacity and Mass Activities

Questions Parents Can Ask

• What attribute are you measuring?
• Are you measuring length, capacity or mass?
• Which informal unit would be suitable?
• Why did you choose that unit?
• Are all the units the same size or mass?
• Did you begin at the correct starting point?
• Are there any gaps or overlaps?
• Would a larger unit be more practical?
• Would a smaller unit give a more accurate result?
• What is your estimate?
• Which object is longer?
• Which container holds more?
• Which object is heavier?
• How much longer is it?
• How much more does it hold?
• How much heavier is it?
• Why did the numerical result change with a different unit?
• Can the two measurements be compared fairly?
• How did you record your result?
• How can you justify your conclusion?

Mathematical Sentence Starters

Supporting Different Learners at Home

Children Who Need More Support

• compare only two objects at a time;
• begin with direct comparison;
• use large, easy-to-handle units;
• mark a clear starting point;
• place units along a straight guide;
• use identical containers for measuring materials;
• provide a simple recording table;
• use balance scales before counting mass units;
• model one complete measurement first;
• allow oral explanations before written responses.

Children Ready for Extension

• compare measurements made with several unit sizes;
• explain which unit gives the greatest accuracy;
• design a fair measurement investigation;
• identify errors in an incorrect measurement;
• measure irregular objects;
• calculate differences between several measurements;
• choose different units for different objects and justify each choice;
• write a full measurement procedure;
• interpret results presented in a table;
• create a measurement challenge for another learner.

Quick Parent Check

Use these questions to check whether your child understands the main ideas.

1. Choose a suitable informal unit to measure the length of a pencil.
2. Explain why a different unit may be needed for the width of a room.
3. Measure an object without gaps or overlaps.
4. Measure the same object using a larger and a smaller unit.
5. Explain why the numerical results are different.
6. Compare the capacity of two containers using the same cup.
7. State how much more one container holds.
8. Compare two objects using a balance scale.
9. Measure their mass using identical informal units.
10. Explain why uniform units are necessary.

A child shows secure understanding when they can choose suitable units, measure consistently, compare results and explain how unit size affects measurement.

Quick Exit Ticket

1. Choose an informal unit to measure a book.
2. Explain why the units must be uniform.
3. Describe when a smaller unit would be useful.

Printable Teacher, Parent and Student Resources

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Home Learning Summary

Measurement understanding develops when children compare real objects, select appropriate units and explain how the units affect the result.

Use this simple routine:

1. identify the measurable attribute;
2. estimate the result;
3. choose a suitable uniform informal unit;
4. measure carefully and consistently;
5. record the result with the unit;
6. compare the measurement with another object;
7. explain and justify the conclusion.

Related Foundation, Year 1 and Year 2 Maths Topics

Children who need additional support can revisit these earlier comparison and informal measurement topics.