The Year 5 Find Fractions Equivalent to a Unit Fraction 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
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.
equivalent: Means equal in value. For example, equivalent fractions may use different numerators and denominators but represent the same part of a whole.
multiple: A product of one number multiplied by another number. For example: multiples of 10 are the products of numbers multiplied by 10.
unit fraction: A fraction where the numerator is 1. For example: ¾
Varied Fluency
Knowledge Organiser
• Designed to support all children via key information and examples.
Scaffolded Examples
• Shading bars to find a fraction equivalent to one sixth; using multiplication to find a missing numerator or denominator; counting parts on a number line.
Support
• Q1: Shade bars to find fractions equivalent to one eighth and one third; hint given.
• Q2: Find missing denominators on fully marked number lines; hint given.
• Q3: Find missing numbers in pairs of equivalent fractions; hint given.
Core
• Q1: Shade bars to find fractions equivalent to one half and one third.
• Q2: Find missing denominators using number lines with some parts marked.
• Q3: Find missing numerators and denominators using times tables facts.
Stretch
• Q1: Shade both bars to show fractions equivalent to unit fractions.
• Q2: Find missing denominators by using an unmarked number line for the unit fraction.
• Q3: Find missing numerators and denominators by applying multiplication and division relationships, including working backwards.
Reasoning and Problem Solving
Support
• Q1: Reasoning – explain whether a character has found a fraction equivalent to one fifth or one quarter; hint given.
• Q2: Reasoning – decide whether a filled-in missing numerator is correct; hint given.
• Q3: Problem Solving – choose number cards to make fractions equivalent to one tenth or one half; hint given.
Core
• Q1: Reasoning – explain whether a character has found a fraction equivalent to one third or one eighth.
• Q2: Reasoning – decide whether the fractions in a chain are equivalent.
• Q3: Problem Solving – choose number cards to make fractions equivalent to one seventh or one sixth.
Stretch
• Q1: Reasoning – explain whether a character has used the link between numerator and denominator correctly.
• Q2: Reasoning – decide whether a filled-in missing numerator or denominator is correct.
• Q3: Problem Solving – choose number cards to make fractions equivalent to either of two unit fractions.
Deeper Reasoning
The question focuses on investigating ways to move through a maze to deepen understanding of how to identify, name and write equivalent fractions of a given fraction.
