The Year 6 Compare and Order (Denominator) 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
equivalent: Means equal in value. For example, equivalent fractions may use different numerators and denominators but represent the same part of a whole.
lowest common denominator: The lowest possible denominator that can be shared by two or more fractions.
ascending order: When values or quantities have been arranged in size from the smallest to the greatest.
lowest common multiple: The smallest positive number that is a multiple of two or more numbers.
descending order: When values or quantities have been arranged in size from the greatest to the smallest.
Varied Fluency
Knowledge Organiser
• Designed to support all children via key information and examples.
Scaffolded Examples
• Finding the multiplier between two denominators to compare fractions; listing multiples to find the lowest common denominator.
Support
• Q1: Compare fractions where one denominator is double the other; bar models provided.
• Q2: Compare fractions using the lowest common denominator that is given.
• Q3: Order four fractions in ascending order; lowest common denominator given.
Core
• Q1: Compare fractions where one denominator is a multiple of the other.
• Q2: Find the lowest common denominator to compare fractions.
• Q3: Find the lowest common denominator to place four fractions in ascending order.
Stretch
• Q1: Compare mixed numbers where one denominator is a multiple of the other.
• Q2: Compare a mixed number and improper fraction.
• Q3: Order four mixed numbers in ascending or descending order.
Reasoning and Problem Solving
Support
• Q1: Reasoning – explain whether a character has compared two fractions correctly when one denominator is double the other; unshaded bar models provided.
• Q2: Reasoning – decide who is working fastest by doubling one amount and comparing mixed numbers with the same whole, where one denominator is double the other.
• Q3: Problem Solving – write pairs of fractions with given denominators where the greater numerator gives the smaller fraction.
Core
• Q1: Reasoning – explain whether a character has compared two fractions correctly when one denominator is a multiple of the other.
• Q2: Reasoning – decide who is working fastest by converting an improper fraction, doubling one amount and finding a common denominator to compare mixed numbers.
• Q3: Problem Solving – write pairs of fractions where one denominator is a multiple of the other and the greater numerator gives the smaller fraction.
Stretch
• Q1: Reasoning – explain whether a character has compared two mixed numbers correctly using the lowest common denominator.
• Q2: Reasoning – decide who is working fastest by comparing mixed numbers with the same whole where neither denominator is a multiple of the other, including an improper fraction for half the time.
• Q3: Problem Solving – write pairs of fractions with given denominators that meet three conditions, including lying between one half and 1.
Deeper Reasoning
The questions in this set focus on problem solving by comparing fractions to deepen understanding in how to use common multiples to compare and order fractions.
