# Understanding Fractions – Grade 3 and Grade 4

8 x Lessons

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

It consists of 8 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 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

## Resources

#### Common Core State Standards alignment

Grade 3 > Standards for Mathematical Practice > Number & Operations - Fractions > Develop understanding of fractions as numbers > **CCSS.MATH.CONTENT.3.NF.A.1**

Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b.

Grade 3 > Standards for Mathematical Practice > Number & Operations - Fractions > Develop understanding of fractions as numbers > **CCSS.MATH.CONTENT.3.NF.A.2**

Understand a fraction as a number on the number line; represent fractions on a number line diagram.

Grade 3 > Standards for Mathematical Practice > Number & Operations - Fractions > Develop understanding of fractions as numbers > **CCSS.MATH.CONTENT.3.NF.A.3**

Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.

Grade 4 > Standards for Mathematical Practice > Number & Operations - Fractions > Extend understanding of fraction equivalence and ordering > **CCSS.MATH.CONTENT.4.NF.A.2**

Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.

Grade 4 > Standards for Mathematical Practice > Number & Operations - Fractions > Build fractions from unit fractions > CCSS.MATH.CONTENT.4.NF.B.3 > **CCSS.MATH.CONTENT.4.NF.B.3.A**

Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.

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