#### Unit Plan

# Exploring Fractions and Decimals Unit Plan – Year 3 and Year 4

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**3 - 4**

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

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 recognize common unit fractions such as halves, thirds, quarters, fifths and eighths.
- To represent common unit fractions and their multiples to create a whole.
- To identify equivalent fractions for one half, one third, one quarter and one fifth.
- To locate and represent some common equivalent fractions on a number line.
- To count by common unit fractions and mixed numerals.
- To convert between improper fractions and mixed numerals.
- To apply knowledge and understanding of fractions to a real-world context.
- To explore tenths as fractions and in decimal notation.
- To explore hundredths as fractions and in decimal notation.

### Preparing for Learning

Prior to commencing the unit, develop a fractions and decimals 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 and decimals. 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 3 > Number and Algebra > Fractions and decimals >
**ACMNA058**Model and represent unit fractions including 1/2, 1/4, 1/3, 1/5 and their multiples to a complete wholeElaborationspartitioning areas, lengths and collections to create halves, thirds, quarters and fi...

- Mathematics > Year 4 > Number and Algebra > Fractions and decimals >
**ACMNA077**Investigate equivalent fractions used in contextsElaborationsexploring the relationship between families of fractions (halves, quarters and eighths or thirds and sixths) by folding a series of paper s...

- Mathematics > Year 4 > Number and Algebra > Fractions and decimals >
**ACMNA078**Count by quarters halves and thirds, including with mixed numerals. Locate and represent these fractions on a number lineElaborationsconverting mixed numbers to improper fractions and vice versa (Skil...

- Mathematics > Year 4 > Number and Algebra > Fractions and decimals >
**ACMNA079**Recognise that the place value system can be extended to tenths and hundredths. Make connections between fractions and decimal notationElaborationsusing division by 10 to extend the place-value system...

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