# Unit Overview: Working with fractions

## Lessons:

20 lessons

### Divide and describe the same whole when divided into differing numbers of equal parts

In this lesson, we will learn how to divide a shape into equal parts in different ways. We will also discuss the vocabulary and sentences we can make when describing the shape and its parts. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

• 16m Video
• Transcript

### Understand fraction notation to represent a relationship between part and whole

In this lesson, we will learn to understand fraction rotation to help represent the relationship between the part and the whole. This can be demonstrated through usage of division bars. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

• 26m Video
• Transcript

### Begin to use and understand the terms 'Numerator' and 'Denominator'

In this lesson we will begin to use and understand the terms 'numerator' and 'denominator' alongside the language learnt in previous lessons. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

• 16m Video
• Transcript

### Name unit fractions and match them with the fraction notation and a representation

In this lesson, we will learn to name unit fractions and match them with the fraction notation and a picture representation using the same language learnt in previous lessons. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

• 26m Video
• Transcript

### Embed previous fraction work using a linear model

In this lesson, we will investigate fractions using strips of paper and lines. We will use mathematical sentences to describe how many equal parts a whole strip of paper has been folded into, and what fraction each folded segment represents. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

• 18m Video
• Transcript

### Assign unit fraction names and notation to 3D representations

In this lesson, we will investigate how to determine the size of fractions in a 3D space. For example, we will determine what fraction of a stack of cubes is yellow. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

• 13m Video
• Transcript

### Assign unit fraction names and notation to equal parts of quantities

In this lesson, we will continue to learn to assign fraction names and notation to equal parts of quantities. We will build on part-whole relationships by identifying fractions of sets. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

• 12m Video
• Transcript

### Recognise and reason about unit fractions in a variety of contexts

In this lesson, we will recognise and reason about unit fractions in a variety of contexts. We will study a number of visual representations of different unit fractions. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

• 26m Video
• Transcript

### Understand that Equal Parts Can Look Different - Area

In this lesson, we will look at whether equal parts of the whole always need to look the same. We will compare different representations of fractions using the same original whole. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

• 15m Video
• Transcript

### Understand that Equal Parts Can Look Different - Volume and Area Contexts

In this lesson, we will understand that the same fraction can look different in the context of shading shapes with different volume or area. We will also investigate how a shaded fraction can look different but be the same proportion in the same shape if we make it in different ways. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

• 17m Video
• Transcript

### Compare unit fractions using a fraction wall

In this lesson, we will compare unit fractions using a fraction wall. We will investigate the relative sizes of different unit fractions by comparing them side by side on a fraction wall. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

• 23m Video
• Transcript

### Reason about comparing unit fractions

In this lesson, we will further investigate how the deminominator tells us how many different equal parts there are and also tell us the size of the equal parts compared to the whole. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

• 20m Video
• Transcript

### Compare unit fractions in a measure's context

In this lesson, we will compare unit fractions using capacity and measurement to help us. We will use quantities of liquid in containers to help us compare the relative size of each unit fraction. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

• 11m Video
• Transcript

### Can we compare unit fractions of different wholes?

In this lesson, we will compare unit fractions of different wholes. We will investigate how a half is proportional to the size of the original whole, and that in turn, half of one object can look bigger or smaller than half of a different object. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

• 15m Video
• Transcript

### Construct a whole from a part and identify the fraction it represents

In this lesson, we will take unit fractions of shapes and build the original whole from them. We will use mathematical sentences to describe how many of each fraction makes up the whole. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

• 15m Video
• Transcript

### Build and compare different wholes from the same unit fractions that represent the same length

In this lesson, we will build and compare different wholes from unit fractions that represent the same length. We will use our knowledge of unit fractions to determine which whole line will be longest. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

• 7m Video
• Transcript

### Build and compare different wholes from the same unit fractions that represent different lengths

In this lesson, we will build and compare different wholes from the same unit fractions that represent different lengths. We will learn how finding out the length of one part can help you to find the length of the whole. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

• 7m Video
• Transcript

### Build and compare different wholes from different unit fractions that represent the same quantity

In this lesson, we will learn how finding out the amount of one part can help you to find the amount of the whole and how we can compare different wholes using the same amount but different fractions. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

• 21m Video
• Transcript

### Build and compare different wholes from different unit fractions that represent different quantities

In this lesson, we will learn to build and compare different wholes from different unit fractions that represent different quantities. We can compare different wholes using the same fraction Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

• 17m Video
• Transcript

### Build and compare wholes when different unit fractions represent different amounts

In this lesson, we will build and compare different wholes when different unit fractions represent different amounts. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

• 12m Video
• Transcript