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)
Unit Overview: Equivalent fractions
Lessons:
20 lessons
Equivalent fractions in context
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)
The relationship between the numerator and the denominator
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)
Using a scale factor
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)
Vertical and horizontal relationships
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)
Non-unit fractions
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)
Numerators and denominators in non-unit fractions
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)
Missing numbers
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)
Further practice with equivalent fractions
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)
Factors and multiples
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)
Simplifying fractions
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)
Simplifying fractions using highest common factor
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)
Finding the Highest Common Factor to Simplify
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)
Checking whether a fraction is in its simplest form
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)
Why do we simplify fractions?
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)
Simplifying improper fractions
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)
Another method for simplifying improper fractions
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)
Simplifying after multiplying
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)
Further practice and application
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)
Unit Summary
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