# Operations with Decimals and Percentages Unit Plan – Year 5 and Year 6

11 x Lessons

This Mathematics unit covers a range of concepts relating to decimals and percentages; specifically calculations.

It consists of 11 lessons of approximately 60 minutes duration.

The sequence of lessons and suggested time frames should be regarded as a guide only; teachers should pace lessons in accordance with the individual learning needs of their class.

An assessment task for monitoring student understanding of the unit objectives is included and will require an additional lesson.

## Overview

### Objectives

- To revise decimal place value and compare, order and represent decimals.
- To add and subtract decimals.
- To multiply and divide decimals by powers of 10.
- To multiply decimals by whole numbers.
- To divide decimals by whole numbers.
- To make connections between equivalent fractions, decimals and percentages.
- To calculate percentage discounts of 10%, 25% and 50%.
- To calculate sale price using percentage discounts of 10%, 25% and 50%.
- To apply knowledge of decimals and percentages to a real-world context.

### Preparing for Learning

Prior to commencing the unit, develop a decimal and percentages wall in the classroom. Display posters and *word wall vocabulary* that the students will engage with throughout the unit to stimulate their learning. For examples of such resources, browse the *Fractions, Decimals and Percentages category* on the Teach Starter website.

There are many concepts to address within the topic of decimals and percentages. The lessons in this unit cover a range of these concepts, many of which have varying degrees of complexity. Teachers are encouraged to select lessons from the unit that best suit the learning needs of their students, or to adapt lessons accordingly.

Some of the resources which accompany this unit plan will need to be prepared prior to teaching. For this reason, it is advised that teachers browse through all lessons before commencing the unit.

## Lessons

## Resources

#### Australian Curriculum alignment

Mathematics > Year 6 > Number and Algebra > Money and financial mathematics > **ACMNA132**

Investigate and calculate percentage discounts of 10%, 25% and 50% on sale items, with and without digital technologies

Mathematics > Year 5 > Number and Algebra > Fractions and decimals > **ACMNA105**

Compare, order and represent decimals

Mathematics > Year 6 > Number and Algebra > Fractions and decimals > **ACMNA128**

Add and subtract decimals, with and without digital technologies, and use estimation and rounding to check the reasonableness of answers

Mathematics > Year 6 > Number and Algebra > Fractions and decimals > **ACMNA129**

Multiply decimals by whole numbers and perform divisions by non-zero whole numbers where the results are terminating decimals, with and without digital technologies

Mathematics > Year 6 > Number and Algebra > Fractions and decimals > **ACMNA130**

Multiply and divide decimals by powers of 10

Mathematics > Year 6 > Number and Algebra > Fractions and decimals > **ACMNA131**

Make connections between equivalent fractions, decimals and percentages

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