Free Printable Year 2 Halves, Quarters and Eighths Worksheets

About This Year 2 Maths Topic

In this unit, children identify common uses of halves, quarters and eighths and represent these fractions in relation to shapes, objects, measurements and events.

Children learn that fractions describe equal parts of one whole. The parts must be equal in size or amount.

• A whole divided into 2 equal parts makes halves.
• A whole divided into 4 equal parts makes quarters.
• A whole divided into 8 equal parts makes eighths.

Children explore fractions by:

• cutting food into equal parts;
• halving and halving again;
• using half-cup and quarter-cup measures;
• folding paper into equal sections;
• finding halfway points;
• describing quarter and half distances;
• recognising quarters and halves in sporting events;
• describing half-hour and quarter-hour durations.

These activities support Australian Curriculum Version 9.0 content descriptor AC9M2M02 and its associated elaborations.

The Big Idea for Parents

The same principle applies to quarters and eighths:

• 2 equal parts are called halves;
• 4 equal parts are called quarters;
• 8 equal parts are called eighths.

Children should also understand that the size of each part becomes smaller as the number of equal parts increases.

For the same whole:

• a half is larger than a quarter;
• a quarter is larger than an eighth;
• 2 halves make one whole;
• 4 quarters make one whole;
• 8 eighths make one whole.

Learning Intentions

Children will learn to:

• identify a whole;
• divide shapes and objects into equal parts;
• recognise and represent halves;
• recognise and represent quarters;
• recognise and represent eighths;
• explain why fraction parts must be equal;
• create quarters by halving a half;
• create eighths by halving quarters;
• use food items to model fractions;
• use half-cup and quarter-cup measures;
• compare fractional cooking measures with a full measure;
• fold paper into equal halves and quarters;
• identify halfway points;
• describe half and quarter distances;
• recognise halves and quarters in sporting events;
• describe half-hour and quarter-hour durations.

Student Success Criteria

Key Vocabulary

Teacher Guide for Parents

Teachers introduce fractions through practical experiences before using written fraction symbols.

At home, follow this sequence: identify the whole, divide equally, count the parts, name the fraction and check equality.

1. Begin with One Whole

Before discussing fractions, clearly identify the whole.

The whole may be:

• one sandwich;
• one pizza;
• one piece of paper;
• one cup of water;
• one length or distance;
• one hour;
• one complete sporting event.

Fraction parts can only be compared properly when they belong to the same-sized whole.

2. Explain Equal Parts

Use two pieces that are clearly different in size and ask whether they are halves.

Explain that two pieces are not halves unless both pieces are equal.

3. Make Halves

Divide one whole into two equal parts.

Each equal part is called one half.

Children should recognise:

• there are 2 equal parts;
• each part is one half;
• 2 halves make one whole.

4. Make Quarters

Begin with one whole and halve it.

Then halve each half again.

This creates four equal parts called quarters.

• there are 4 equal parts;
• each part is one quarter;
• 2 quarters make one half;
• 4 quarters make one whole.

5. Make Eighths

Begin with four equal quarters and halve each quarter.

This creates eight equal parts called eighths.

• there are 8 equal parts;
• each part is one eighth;
• 2 eighths make one quarter;
• 4 eighths make one half;
• 8 eighths make one whole.

6. Halve and Halve Again

Encourage children to see the repeating halving process.

1. Start with one whole.
2. Halve it to make 2 halves.
3. Halve each half to make 4 quarters.
4. Halve each quarter to make 8 eighths.

This helps children understand how the fractions are related.

7. Compare the Size of Fraction Parts

Use equal-sized pizzas, circles or paper strips.

Divide one into halves, one into quarters and one into eighths.

Ask children to compare one part from each whole.

8. Use Food to Model Halves

Use a sandwich, slice of toast, pancake or pretend food model.

Divide it into two equal pieces and ask:

• How many equal parts are there?
• What is each part called?
• How can we check they are equal?

9. Use Food to Model Quarters

Divide a sandwich or pizza model into halves and then halve each half.

Count the four equal pieces and name each piece as one quarter.

Reassemble the pieces to show that four quarters make the whole.

10. Use Food to Model Eighths

Begin with four equal quarters and divide each quarter into two equal parts.

Count the eight pieces and check that they are equal.

Ask:

“Which is larger: one quarter or one eighth?”

11. Use Fraction Language with Food

Encourage complete descriptions.

For example:

• “The pizza has been divided into four equal quarters.”
• “Each sandwich piece is one eighth of the whole sandwich.”
• “Two quarters are equal to one half.”

12. Investigate a Full Cup

Fill one full cup with sand, rice or water.

Pour the contents into two equal half-cup measures.

Children should observe:

2 half-cups make 1 full cup.

13. Investigate Quarter-Cup Measures

Fill a full cup using a quarter-cup measure.

Count the number of quarter-cups needed.

Children should observe:

4 quarter-cups make 1 full cup.

They can also compare:

2 quarter-cups make 1 half-cup.

14. Investigate Tablespoon Measures

Compare one full tablespoon with half-tablespoon and quarter-tablespoon measures.

Use the same material and fill each measure consistently.

• 2 half-tablespoons make 1 tablespoon;
• 4 quarter-tablespoons make 1 tablespoon;
• 2 quarter-tablespoons make 1 half-tablespoon.

15. Compare Fractional Cooking Measures

Ask children to order these measures from smallest to largest:

• quarter-cup;
• half-cup;
• full cup.

Confirm the comparison practically by filling and pouring.

16. Fold Paper into Halves

Fold a rectangular or square piece of paper so that the edges match.

Open the paper and identify the two equal sections.

Ask the child to explain how matching edges help show that the parts are equal.

17. Fold Paper into Quarters

Fold the paper in half and then fold it in half again.

Open the paper and count the four equal sections.

Paper can be folded into quarters in different ways, provided the four parts are equal.

18. Check Whether Folded Parts Are Equal

Place folded sections on top of one another or compare their edges.

Children should not decide equality only by looking quickly. They should fold, match or measure the sections.

19. Recognise Different Representations of the Same Fraction

A square can be divided into halves vertically, horizontally or diagonally.

The parts may have different shapes while still having equal area.

20. Find the Halfway Point

Place two chairs a short distance apart.

Ask your child to stand halfway between them.

Check that the distance from the child to each chair is equal.

The halfway point divides the total distance into two equal parts.

21. Find Half of a Length

Use a paper strip, piece of string or marked path.

Fold or measure the length to locate its midpoint.

Identify each section as one half of the total length.

22. Find Quarter Positions Along a Length

Divide a strip or pathway into four equal sections.

Mark:

• one-quarter of the way;
• halfway;
• three-quarters of the way;
• the end of the whole distance.

23. Use Fractions to Give Position Instructions

Give practical instructions such as:

• stand halfway between the two markers;
• walk one quarter of the distance;
• stop three quarters of the way along the path;
• place the object at the halfway point.

24. Recognise Fractions in Sporting Events

Discuss sporting events divided into halves or quarters.

For example, an Australian Rules Football game is divided into four quarters.

Important points include:

• quarter-time after the first quarter;
• half-time after two quarters;
• three-quarter time after three quarters;
• the end of the game after four quarters.

25. Understand Half-Time

Half-time occurs when half of the total event duration has been completed.

In an event with four equal quarters, half-time occurs after two quarters.

26. Understand Half an Hour

One hour can be divided into two equal half-hour periods.

A half-hour is 30 minutes.

Use a clock face to show the minute hand moving halfway around the clock.

27. Understand a Quarter of an Hour

One hour can be divided into four equal quarter-hour periods.

A quarter-hour is 15 minutes.

Use a clock face divided into four equal sections to show each quarter-hour.

28. Compare Time Durations

Use practical examples:

• a quarter-hour is 15 minutes;
• a half-hour is 30 minutes;
• two quarter-hours equal one half-hour;
• four quarter-hours equal one hour.

29. Connect Shapes, Measures and Time

Help children recognise that the fraction relationship remains the same in different contexts.

For example:

• two half-sandwiches make one sandwich;
• two half-cups make one cup;
• two half-hours make one hour;
• two half-distances make one complete distance.

30. Record and Explain Fraction Representations

Ask children to draw, label and explain each model.

A complete explanation may include:

“I divided the whole into four equal parts. Each part is one quarter, and four quarters make the whole.”

Recommended Teaching Sequence at Home

1. Identify one whole.
2. Divide the whole into two equal halves.
3. Halve each half to make four quarters.
4. Halve each quarter to make eight eighths.
5. Check that all parts are equal.
6. Compare the size of halves, quarters and eighths.
7. Explore fractions using food models.
8. Compare full, half and quarter cooking measures.
9. Fold paper into equal halves and quarters.
10. Find halfway and quarter positions.
11. Recognise fractions in sporting events.
12. Use half-hour and quarter-hour durations.
13. Explain how each representation relates to one whole.

Common Misconceptions and How Parents Can Help

Simple Home Halves, Quarters and Eighths Activities

Questions Parents Can Ask

• What is the whole?
• How many equal parts are there?
• Are all the parts equal?
• What is each part called?
• How can you check that the parts are equal?
• How many halves make one whole?
• How many quarters make one whole?
• How many eighths make one whole?
• How can you make quarters from halves?
• How can you make eighths from quarters?
• Which is larger: one half or one quarter?
• Why does an eighth look smaller than a quarter?
• How many half-cups make one full cup?
• How many quarter-cups make one full cup?
• Where is the halfway point?
• How can you prove this point is halfway?
• What does half-time mean?
• How many quarters have passed at half-time?
• How many minutes are in half an hour?
• How many minutes are in a quarter of an hour?

Mathematical Sentence Starters

Supporting Different Learners at Home

Children Who Need More Support

• begin with halves before introducing quarters;
• use real objects and physical folding;
• use regular shapes such as squares and rectangles;
• match edges to check that parts are equal;
• use pre-marked fold lines;
• compare fractions using equal-sized wholes;
• use full, half and quarter measuring cups;
• mark halfway points with string or folding;
• use a colour-coded clock face;
• allow oral explanations before written responses.

Children Ready for Extension

• show several ways to divide a shape into equal quarters;
• identify fractions in irregular shapes;
• explain why differently shaped parts may still be equal;
• combine eighths to make quarters and halves;
• compare equivalent representations;
• solve missing-part fraction puzzles;
• design a recipe using half and quarter measures;
• mark quarter positions on longer paths;
• create a timeline divided into equal fractional sections;
• design a fraction investigation for another learner.

Quick Parent Check

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

1. Fold a piece of paper into two equal halves.
2. Fold another piece of paper into four equal quarters.
3. Explain how quarters can be made from halves.
4. Show how eighths can be made by halving quarters.
5. Identify whether a divided shape shows equal parts.
6. Explain which is larger: one half or one quarter.
7. Show how many half-cups make one full cup.
8. Find the halfway point between two objects.
9. Explain what half-time means in a four-quarter game.
10. State the duration of half an hour and a quarter-hour.

A child shows secure understanding when they can identify the whole, create equal parts, name halves, quarters and eighths, and apply these ideas to measurement, position and time.

Quick Exit Ticket

1. Draw one whole divided into four equal quarters.
2. Explain how many eighths make one half.
3. State how many minutes are in a quarter-hour.

Printable Teacher, Parent and Student Resources

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Home Learning Summary

Fraction understanding develops when children divide real shapes, objects, measures and events into equal parts and explain how those parts relate to one whole.

Use this simple routine:

1. identify the whole;
2. divide it into equal parts;
3. count the number of parts;
4. name each fractional part;
5. check that the parts are equal;
6. recombine the parts to make the whole;
7. connect the fraction to an everyday context.

Related Foundation, Year 1 and Year 2 Maths Topics

Children who need additional support can revisit these earlier sharing, grouping, fractions, measurement and time topics.