Recognising fractions as different representations
In this lesson, we will explore different ways of representing fractions including as part of a whole, as a number, as a result of division and as part of a set.
Unit Overview: Fractions
Lessons:
20 lessons
Calculating unit fractions of quantities
In this lesson, we will identify fractions of quantities for unit fractions only (where the numerator is one).
Recognising equivalent fractions
In this lesson, we will use fraction bars to help us recognise equivalent fractions.
Recognising equivalent fractions (2)
In this lesson, we will use fraction bars to help us recognise equivalent fractions.
Calculating non-unit fractions of quantities
In this lesson, we will identify fractions of quantities for non-unit fractions (where the numerator is more than one).
Equivalent fractions
In this lesson, we will take a closer look at equivalent fractions. We will explore the relationship between the numerator and denominaor in pairs of equivalent fractions.
Fractions and division
In this lesson, we will use pizza problems to explore the connection between fractions and division.
Comparing fractions
In this lesson, we will compare pairs of fractions. We will compare pairs of fractions with the same denominator, and then we will compare pairs of fraction with different denominators.
Ordering fractions
In this lesson, we will order a set of fractions with denominators that are multiples or factors of each other. We will place them in order on a number line.
Using mixed numbers
In this lesson, we will learn about mixed numbers and learn how to read, write and represent them.
Using improper fractions
In this lesson, we will learn about improper fractions and learn how to read, write and represent them. Then we will begin to relate improper fractions to mixed numbers.
Converting mixed numbers into improper fractions
In this lesson we will explore representations to connect mixed numbers and improper fractions, before using multiplication more formally to convert mixed numbers into improper fractions.
Adding fractions (up to one whole)
In this lesson, we will use bar models to support our understanding of adding fractions where the total does not exceed one.
Subtracting fractions
In this lesson, we will use bar models to support our understanding of subtracting fractions and create our own subtraction problems involving fractions.
Adding fractions (with a total greater than one)
In this lesson, we will explore fractions that total one or greater than one using fraction bars to support understanding.
Subtracting fractions (2)
In this lesson, we will explore subtracting fractions involving fractions greater than one using fraction bars and number lines to build our understanding.
Calculating unit fractions of quantities
In this lesson, we will solve word problems which require us to find unit fractions of quantities.
Calculating non-unit fractions of quantities
In this lesson, we will solve word problems which require us to find non-unit fractions of quantities.
Comparing non-unit fractions of quantities
In this lesson, we will use bar models to solve word problems that compare fractions of quantities.
Reasoning with fractions
In this lesson, we will apply our knowledge of fractions to three reasoning problems.
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
- Doubling and halving
- Addition and subtraction within 10
- Exploring calculation strategies within 20
- Money
- Measures
- 2-D shape, perimeter and area
- Numbers to 50
- Manipulating and calculating with fractions
- Fractions
- Fractions and decimals
- Conceptualising and comparing fractions
- Numbers 50 to 100 and beyond
- Reasoning with large whole numbers
- Converting units of measure
- Numbers to 10
- Solving measure and money problems
- Addition and subtraction within 20
- Addition and subtraction (applying strategies)
- Numbers within 1000
- Place value
- Problem solving with integer addition and subtraction
- Volume
- Positive and negative numbers
- Numbers within 10
- Numbers within 15
- Addition and subtraction within 20
- Measures (1): Length and mass
- Measures (2): Capacity and volume
- Addition and subtraction of 2-digit numbers
- Fractions
- Multiplication and division
- Multiplication and division
- Axioms and arrays
- Prime factor decomposition
- Indices and standard form
- Time
- Addition and subtraction of 2-digit numbers (regrouping and adjusting)
- Area and perimeter
- Numbers and numerals
- Percentages
- Fractions
- Measures: Length
- Numbers beyond 20
- Time
- Securing multiplication facts
- Addition and subtraction within 10
- Measures: Mass
- Number sense and exploring calculation strategies
- Addition and subtraction
- Securing multiplication and division
- Position and Direction
- Pattern and Early Number
- Addition and subtraction word problems
- Fractions
- Decimals
- Multiplication and division: 3 and 4
- Multiplication and division: 2, 5 and 10
- Measures: Capacity and volume
- Addition and subtraction
- Extending calculation strategies and additive reasoning
- Deriving multiplication and division facts
- Calculating with whole numbers and decimals
- Integers & Decimals
- Multiplication and division
- Grouping and Sharing
- Surds and trigonometry
- Numbers within 6
- Numbers within 100
- Exploring calculation strategies
- Time
- Exploring calculation strategies and place value
- Multiplication and division
- Factors and multiples
- Graphs
- Graphs
- Reasoning with 4-digit numbers
- Reasoning with patterns and sequences
- Calculation problems
- Numbers within 20
- Money
- Multiplication and division
- Fractions, decimals and percentages
- Decimals and measures
- Early Mathematical Experiences
- Order of operations
- Depth of numbers within 20
- Numbers to 20
- Addition and subtraction within 20 (comparison)
- Addition and subtraction within 6
- Accuracy and estimation
- Money
- Length and perimeter
- Fractions
- Fractions
- Problem solving with whole numbers and decimals