Package 5-2: Imagining fractions

This activity offers your child the opportunity to represent fractions, develop a sense of the relative size of fractions, practise the language associated with fractions and explore the concept of equivalence.

Week 6 - Package 2 - Year 5 and 6 Mathematics - Imagining fractions

Things you need

Have these things available so your child can complete this task.

Ideal

Back up

Read the instructions.

Why is this activity important?

This activity is designed to get your child thinking about different ways we can think about numbers, especially fractions.

Before you start

  • Make sure your child has the required resources ready.

  • Check that the video is working and the audio settings are correct for your child.

What your child needs to know and do

This activity encourages your child to use their mathematical imagining skills to explore fractions especially halves and quarters.

What to do next

View Imagining fractions

Complete the activities on the Activity Sheet 1.

Options for your child

Activity too hard?

Encourage your child to notice some lemon parts that are:

  • half

  • quarter

  • 3-quarters

Encourage your child to record and represent their mathematical imaginations by using colours and drawings. For example:

decorative

decorative

Activity too easy?

Are there any other ways you can reimagine these fractional slices moving?

Follow-up questions to ask your child

  • How can you use whole numbers to help you?

  • How is your thinking similar or different to the example shared in the video?

Extension/additional activity

What if there was another frame around this image. How would it look and how many lemon slices would there be?

Activity sheet 1

What are some things you notice?

fractional slices of lemon distributed in 16 cups in a 4 by 4 array

(Image from Adam Hillman)


How many lemon slices are there? How might we work it out?

fractional slices of lemon distributed in 16 cups in a 4 by 4 array

(Image from Adam Hillman)


What’s a different way you could have imagined the fractional slices of lemon moving? Draw pictures to capture your thinking.

fractional slices of lemon distributed in 16 cups in a 4 by 4 array

(Image from Adam Hillman)


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