Year level: 3 / 4

Strand: Number

Lesson length: 60 mins

In this lesson, students use a simulated garden bed to explore tenths. They explore fractions within simulated Asian gardening plots. They draw garden beds, allocate fractions to fruit plants, and combine fractions to understand tenths. Through creativity and discussion, they grasp the concept of fractions as parts of a whole and end with a fun Dice fraction game.

This lesson is one of a series of lessons developed in collaboration with the Australian Association of Mathematics Teachers (AAMT).

### Achievement standard

Students represent unit fractions and their multiples in different ways.

They recognise equivalent fractions and make connections between fractions and decimal notation. Students count and represent fractions on a number line.

### Content description

Students recognise and represent unit fractions including   1 2  ,   1 3  ,  1 4  ,   1 5   and   1 10  and their multiples in different ways; combine fractions with the same denominator to complete the whole. AC9M3N02

Students find equivalent representations of fractions using related denominators and make connections between fractions and decimal notation. AC9M4N03

### General capabilities

Literacy

Numeracy

• Interpreting fractions (Level 4)
• Number and place and value (Level 6)

### Cross-curriculum priorities

Asia and Australia's Engagement with Asia: Knowing Asia and
its diversity (AAK1)

The following activity is suggested for an informative way to track student progress.

If time allows at the end of the lesson, use the exit ticket from the teacher's slides to play the Dice fraction game.

1. State the fruit.
2. Roll a 10-sided dice.
3. Students colour the number rolled as tenths to represent that fraction in their garden bed.

Expect responses such as, students colouring a garden bed with two separate colours.

Some students may:

• struggle with grasping the concept of fractions within the context of Asian gardening plots, particularly if they have limited prior exposure to this mathematical concept
• be challenged by the introduction of fraction-related terminology such as ‘tenths’, as this may be somewhat abstract for certain students, potentially leading to confusion or difficulty in using precise mathematical language
• encounter challenges visualising and representing tenths as fractions, as the specific shapes and sizes of garden bed sections allocated to different fruits may vary.

It is expected that students have:

• basic arithmetic skills (addition, subtraction and multiplication)
• some familiarity with common colours/fruits is useful.

## What you need:

• Lesson plan (Word)

• Teacher's slides (PowerPoint)

• Coloured pens/pencils

• Grid paper (or regular paper)

• 10-sided dice