### Representing equivalent fractions

In this lesson, we develop understanding of equivalent fractions through quantity, area and numberline models. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

Skip navigation# Unit Overview: Equivalent fractions

## Lessons:

### Representing equivalent fractions

### Equivalent fractions in context

### The relationship between the numerator and the denominator

### Using a scale factor

### Vertical and horizontal relationships

### Non-unit fractions

### Numerators and denominators in non-unit fractions

### Missing numbers

### Further practice with equivalent fractions

### Factors and multiples

### Simplifying fractions

### Simplifying fractions using highest common factor

### Finding the Highest Common Factor to Simplify

### Checking whether a fraction is in its simplest form

### Why do we simplify fractions?

### Simplifying improper fractions

### Another method for simplifying improper fractions

### Simplifying after multiplying

### Further practice and application

### Unit Summary

20 lessons

In this lesson, we develop understanding of equivalent fractions through quantity, area and numberline models. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

In this lesson, we will develop understanding of equivalent fractions through the contexts of measuring and pouring. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

In this lesson, we will identify and use the relationship between the numerator and denominator to identify equivalent fractions. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

In this lesson, we will scale the numerator and denominator by the same factor to produce equivalent equations. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

In this lesson, we will practise seeing both vertical and horizontal relationships in the context of equivalent fractions. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

In this lesson, we will introduce equivalent fractions for non-unit fractions. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

In this lesson, we will explore the relationship between numerators and denominators including non-unit fractions. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

In this lesson, we will practise using both vertical and horizontal relationships in fractions to find missing numbers. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

In this lesson, we will practise solving fraction problems where we are required to identify a numerator or denominator in a given fraction equation. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

In this lesson, we will revise the language of 'factor', 'multiple' and 'common factor. ' Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

In this lesson, we introduce simplifying fractions, using fractions that can be simplified into unit fractions. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

In this lesson, we will express fractions in their simplest forms using the terms 'common factor' and 'highest common factor'. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

In this lesson, we will simplify a fraction when the numerator is not the highest common factor. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

In this lesson, we will learn how to check whether a fraction is in its simplest form. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

In this lesson, we will explore the purpose and advantages off simplifying fractions. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

In this lesson, we will simplify fractions that are greater than 1. We will introduce the term 'improper fraction'. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

In this lesson, we will use a second method to simplify fractions that are greater than 1. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

In this lesson, we will simplify fractions after multiplying a fraction by a whole number. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

In this lesson, we will gain further practise and application of simplifying fractions. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

In this lesson, we will revisit and consolidate the key concepts in this unit around fractions, simplifying and identifying equivalence. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

Units in Maths

- Number sense and exploring calculation strategies
- Place value
- Graphs
- Addition and subtraction
- Length and perimeter
- Multiplication and division
- Deriving multiplication and division facts
- Time
- Fractions
- Angles and shape
- Measures
- Securing multiplication and division
- Exploring calculation strategies and place value
- Fractions: parts and wholes
- Reasoning with 4-digit numbers
- Addition and subtraction
- Multiplication and division
- Interpreting and presenting data
- Securing multiplication facts
- Fractions
- Time
- Decimals
- Area and perimeter
- Solving measure and money problems
- 2-D Shape and Symmetry
- Position and Direction
- Reasoning with patterns and sequences
- 3D Shape
- Working with fractions
- Taking fractions further
- Reasoning with large whole numbers
- Problem solving with integer addition and subtraction
- Line graphs and timetables
- Multiplication and division
- 2-D shape, perimeter and area
- Fractions and decimals
- Angles
- Fractions, decimals and percentages
- Transformations
- Converting units of measure
- Calculating with whole numbers and decimals
- 2-D and 3-D shape
- Volume
- Problem solving with whole numbers and decimals
- Equivalent fractions
- Integers & Decimals
- Multiplication and division
- Calculation problems
- Fractions
- Missing angles and lengths
- Coordinates and shape
- Fractions
- Decimals and measures
- Percentages and statistics
- Proportion problems
- Extending calculation strategies and additive reasoning