 # Operations with Fractions Unit Plan – Year 5 and Year 6

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Free on Plus | 9 x Lessons |1 x Assessment | Suitable for Grades: 5 - 6

This Mathematics unit covers a range of concepts relating to fractions.

It consists of 9 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 identify and explore common unit fractions.
• To identify and explore equivalent fractions.
• To reduce fractions to their lowest terms.
• To convert between improper fractions and mixed numerals.
• To add and subtract fractions with the same denominator.
• To add and subtract fractions with related denominators.
• To apply knowledge and understanding of fractions to a real-world context.

#### Preparing for Learning

Prior to commencing the unit, develop a fractions display 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 fractions. 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 Unit Fractions

A 60 minute lesson in which students will identify and explore common unit fractions.

#### Understanding Equivalence

A 60 minute lesson in which students will identify and explore equivalent fractions.

#### Reducing Fractions to Lowest Terms

A 60 minute lesson in which students will learn to reduce fractions to their lowest terms.

#### Improper Fractions and Mixed Numerals

A 60 minute lesson in which students will convert between improper fractions and mixed numerals.

#### Adding and Subtracting Like Fractions

A 60 minute lesson in which students will add and subtract fractions with the same denominator.

#### Adding and Subtracting Related Fractions

A 60 minute lesson in which students will add and subtract fractions with related denominators.

#### Fractions Investigation - Renovate with a Rug (1)

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

#### Fractions Investigation - Renovate with a Rug (2)

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

#### Fractions Investigation - Renovate with a Rug (3)

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

#### Operations with Fractions Assessment - Year 5 and Year 6

An assessment task in which students will demonstrate an understanding of operations involving fractions.

#### NSW Curriculum alignment

• MA2-7NA

Fractions and Decimals - represents, models and compares commonly used fractions and decimals

• MA3-7NA

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

#### Victorian Curriculum alignment

• VCMNA211

Compare fractions with related denominators and locate and represent them on a number line

• VCMNA212

Solve problems involving addition and subtraction of fractions with the same or related denominators

• VCMNA157

Investigate equivalent fractions used in contexts

• VCMNA187

Compare and order common unit fractions and locate and represent them on a number line

• VCMNA158

Count by quarters, halves and thirds, including with mixed numerals. Locate and represent these fractions on a number line

• VCMNA188

Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominator

#### Australian Curriculum alignment

• ACMNA077

Investigate equivalent fractions used in contexts

• ACMNA102

Compare and order common unit fractions and locate and represent them on a number line

• ACMNA125

Compare fractions with related denominators and locate and represent them on a number line

• ACMNA078

Count by quarters halves and thirds, including with mixed numerals. Locate and represent these fractions on a number line

• ACMNA103

Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominator

• ACMNA126

Solve problems involving addition and subtraction of fractions with the same or related denominators