# Unit Overview: Taking fractions further

## Lessons:

23 lessons

### Building wholes

In this lesson, we will build and compare different wholes from different unit fractions that have the same length. We will use mathematical vocabulary to make statements of comparison. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

• 15m Video
• Transcript

### Building and comparing wholes

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

• 16m Video
• Transcript

### Building and comparing wholes from different unit fractions

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

• 9m Video
• Transcript

### More building and comparing wholes from different unit fractions

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

• 12m Video
• Transcript

### Representing non-unit fractions

In this lesson, we will represent non-unit fractions in given wholes. We will shade shapes to represent different non-unit fractions, and create mathematical statements about each shape. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

• 10m Video
• Transcript

### More representing non-unit fractions

In this lesson, we will represent different non-unit fractions in the same given whole. We will compare the relative size of each non-unit fraction. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

• 13m Video
• Transcript

### Non-unit fractions in different contexts

In this lesson, we willl reason about non-fraction units in different contexts. We will determine whether statements about how much of a shape or set is shaded are true. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

• 12m Video
• Transcript

### Fractions equivalent to one whole

In this lesson, we will generalise about fractions equivalent to one whole. We will make statements that compare the numerator and denominator of fractions equivalent to one whole. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

• 14m Video
• Transcript

### Visualising non-unit fractions

In this lesson, we will visualise and estimate non-unit fractions using a variety of visual representations. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

• 14m Video
• Transcript

### Fractions on a numberline

In this lesson, we will represent fractions as numbers on a numberline. We determine where on a number line a unit fraction might sit, and compare fractional representations in different formats. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

• 13m Video
• Transcript

### More fractions on a numberline

In this lesson, we will represent fractions as numbers on a numberline. We look at fractions with a numerator greater than 1, and where they would sit on a suitable numberline. We also look at how to construct a suitable segmented numberline based upon the fraction we are looking at. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

• 11m Video
• Transcript

### Counting fractions

In this lesson, we will build fluency of counting fractions using a range of representations. We will practise determining how many equal segments a shape is divided into, and how many are shaded. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

• 13m Video
• Transcript

### Repeated addition of unit fractions

In this lesson, we will begin to write repeated addition equations to represent non-unit fractions. We will use addition to determine how many equal segments of a shape are shaded. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

• 9m Video
• Transcript

### More repeated addition of unit fractions

In this lesson, we will practise writing repeated addition equations of unit fractions. We will use fraction strips and bar model diagrams to help us determine the size of fractions. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

• 12m Video
• Transcript

### Fractions equal to one whole

In this lesson, we will investigate which non-unit fractions have the same unit value as 1 whole. We will generalise a pattern around how we can tell whether a non-unit fraction is equal to a whole. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

• 14m Video
• Transcript

### Beginning to compare non-unit fractions

In this lesson, we will compare non-unit fractions which have the same numerator or the same denominator. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

• 14m Video
• Transcript

### Using Equivalence to 1 to Compare Non-Unit Fractions

In this lesson, we will compare two fractions using knowledge of equivalence to 1 whole. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

• 13m Video
• Transcript

### Use Several Methods to Compare Two Fractions with the Same Denominator

In this lesson, we will use a variety of methods to compare two fractions with the same denominator. We will use mathematical vocabulary such as greater than and less than. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

• 11m Video
• Transcript

### Can We Easily Compare Two Fractions With the Same Denominator?

In this lesson, we will investigate how we can compare the relative sizes of two fractions with the same denominator using visual representations such as bar models. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

• 23m Video
• Transcript

### Order Several Non-Unit Fractions with the Same Denominator and Apply this Understanding

In this lesson, we will order several non-unit fractions with the same denominator and apply this understanding to worded fraction problems. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

• 27m Video
• Transcript

### What do you notice when comparing two unit fractions using an area model?

In this lesson, we will compare two unit fractions using an area model. We will make generalisations around the denominators of unit fractions. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

• 10m Video
• Transcript

### What do you notice when comparing two unit fractions on a numberline?

In this lesson, we will compare several unit fractions by placing them all together on a number line. We will make generalisations around the denominators of unit fractions. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

• 16m Video
• Transcript

### Use What You Know to Compare Two Non-Unit Fractions With the Same Numerator

In this lesson, we will use a variety of strategies such as using number lines and area models to help organise a set of unit fractions in ascending order of size. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

• 19m Video
• Transcript