Year level: 6

Strand: Number / Measurement

Lesson length: 90–100 mins

In this lesson, students learn about the units of measurement for capacity and how to convert between them. They then develop a set of instructions that explains how to convert between the units of measurement without a calculator.

The lesson offers a real-world context for extending place value beyond thousands for a purpose.

This lesson is the second of 5 lessons that connect the cross-curriculum priority of Sustainability with Number, Measurement and Statistics. It can also complement the science content description. AC9S6U04

### Achievement standard

Students use all 4 operations with decimals and connect decimal representations of measurements to the metric system. Students convert between common units of length, mass and capacity.

### Content descriptions

Convert between common metric units of length, mass and capacity; choose and use decimal representations of metric measurements relevant to the context of a problem. AC9M6N06

Multiply and divide decimals by multiples of powers of 10 without a calculator, applying knowledge of place value and proficiency with multiplication facts; using estimation and rounding to check the reasonableness of answers. AC9M6M01

### General capabilities

Numeracy

• Number and place value (Level 9)
• Understanding units of measurement (Level 8)

Cross-curriculum priorities

• Sustainability (SF2)

Refer to the exit ticket on slide 11.

1. Does the capacity of an object change when we convert the units of measurement from one to another?

Yes or No

2. 3 litres of water is equivalent to:

a) 003 kilolitres

b) 3000 kilolitres

1. No (the units of measurement are equivalent expressions for the same capacity).
2. a). 0.003 kilolitres
• Read, write and interpret numbers up to a million
• Multiply and divide natural numbers and decimal numbers by multiples of powers of 10 without a calculator
• Read, write and interpret decimal numbers up to 1000ths
• Know the number of days in a week, month and year
• Read and interpret a table

Language

• millilitres, litres, kilolitre, megalitre
• convert
• equivalent expression
• move the digits ‘_’ places to the left/right
• tenths, hundredths, thousandths

Some students may:

• be challenged reading, speaking and interpreting numbers up to and beyond a million
• be less proficient working with decimals up to thousandths
• have difficulty understanding that the measurement number will get smaller when converting from a smaller unit of measure (e.g. mL) to a larger unit of measure (e.g. L), and vice versa.

## What you need:

• Lesson plan (Word)

• Teacher’s slides (PowerPoint)

• Converting units of measurement sheet (Word)

• Practice questions: Mild, Medium and Spicy (Word)