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

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Free on Plus | 11 x Lessons |1 x Assessment | Suitable for Grades: 5 - 6

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 review 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

#### Exploring Decimal Place Value

A 60 minute lesson in which students will revise decimal place value and compare, order and represent decimals.

##### Lesson 2

A 60 minute lesson in which students will add and subtract decimals.

#### Multiplying and Dividing by Powers of 10

A 60 minute lesson in which students will multiply and divide decimals by powers of 10.

#### Multiplying Decimals by Whole Numbers

A 60 minute lesson in which students will multiply decimals by whole numbers.

#### Dividing Decimals by Whole Numbers

A 60 minute lesson in which students will divide decimals by whole numbers.

#### Fraction, Decimal and Percentage Equivalence

A 60 minute lesson in which students will make connections between equivalent fractions, decimals and percentages.

#### Calculating Discounts

A 60 minute lesson in which students will calculate percentage discounts of 10%, 25% and 50%.

#### Calculating Sale Price

A 60 minute lesson in which students will calculate sale price using percentage discounts of 10%, 25% and 50%.

#### Maths Investigation - Prepare to Party (1)

A 60 minute lesson in which students will apply knowledge of decimals and percentages to a real-world context.

#### Maths Investigation - Prepare to Party (2)

A 60 minute lesson in which students will apply knowledge of decimals and percentages to a real-world context.

#### Maths Investigation - Prepare to Party (3)

A 60 minute lesson in which students will apply knowledge of decimals and percentages to a real-world context.

#### Operations with Decimals and Percentages Assessment - Year 5 and Year 6

An assessment task in which students will demonstrate an understanding of decimals and percentages.

#### NSW Curriculum alignment

• MA3-7NA

Fractions, Decimals and Percentages - compares, orders and calculates with fractions, decimals and percentages

#### Victorian Curriculum alignment

• VCMNA214

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

• VCMNA215

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

• VCMNA216

Multiply and divide decimals by powers of 10

• VCMNA190

Compare, order and represent decimals

• VCMNA217

Make connections between equivalent fractions, decimals and percentages

• VCMNA218

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

#### Australian Curriculum alignment

• ACMNA132

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

• ACMNA105

Compare, order and represent decimals

• ACMNA128

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

• 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

• ACMNA130

Multiply and divide decimals by powers of 10

• ACMNA131

Make connections between equivalent fractions, decimals and percentages