The Year 5 Convert Mixed Numbers to Improper Fractions PowerPoint guides both teachers and children through the lesson, including use of the varied fluency, reasoning and problem solving, deeper reasoning and scaffolded resources. Key learning information about this step:
Key Vocabulary
improper fractions: Fractions where the numerator is greater than or equal to the denominator, for example: 5/4.
mixed number: A number made up of a whole number and a fraction. For example: 1 1/4.
numerator: The top part of a fraction, which shows how many parts of the whole are being considered.
denominator: The bottom part of a fraction, which shows how many equal parts the whole has been split into.
Varied Fluency
Knowledge Organiser
• Designed to support all children via key information and examples.
Scaffolded Examples
• Counting squares on grids; multiplying the whole number by the denominator; converting before comparing.
Support
• Q1: Convert from partitioned grids; hint given.
• Q2: Complete structured conversion; first value given.
• Q3: Convert, then compare with <, > or =; bar models provided.
Core
• Q1: Convert from partitioned grids.
• Q2: Complete structured conversion.
• Q3: Convert, then compare with <, > or =.
Stretch
• Q1: Convert from grids; only the last whole is split.
• Q2: Complete conversion calculations with reduced scaffolding.
• Q3: Convert, then compare; no denominator given.
Reasoning and Problem Solving
Support
• Q1: Reasoning – check a character’s conversion of a mixed number to an improper fraction; hint provided.
• Q2: Reasoning – check a fraction on a number line; every whole labelled; hint provided.
• Q3: Problem Solving – find mixed numbers; hint given; bar models provided.
Core
• Q1: Reasoning – check a character’s conversion of a mixed number to an improper fraction.
• Q2: Reasoning – check a fraction on a number line; every whole labelled.
• Q3: Problem Solving – find mixed numbers in a range.
Stretch
• Q1: Reasoning – check a character’s conversion of a mixed number to an improper fraction; fractions in words.
• Q2: Reasoning – check a fraction on a number line; start and end numbers given.
• Q3: Problem Solving – find mixed numbers in a range that satisfy an additional condition.
Deeper Reasoning
The questions in this set focus on playing a partner spinner game to generate fractions and sorting mixed numbers and improper fractions into a blank Carroll diagram to deepen understanding in recognising mixed numbers and improper fractions and convert from one form to the other and write mathematical statements > 1 as a mixed number [for example, 2/5 + 4/5 = 6/5 = 1 1/5].
