The Year 6 Subtract Mixed Numbers 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
mixed number: A number made up of a whole number and a fraction. For example: 1¼
improper fractions: Fractions where the numerator is greater than or equal to the denominator.
lowest common denominator: The lowest possible denominator that can be shared by two or more fractions.
Varied Fluency
Knowledge Organiser
• Designed to support all children via key information and examples.
Scaffolded Examples
• Partitioning into wholes and fractions; finding a common denominator.
Support
• Q1: Subtract two mixed numbers with the same denominator; shaded bar model given.
• Q2: Subtract two mixed numbers with different denominators; shaded bar model given.
• Q3: Subtract by breaking the whole; denominator stem given.
Core
• Q1: Subtract two mixed numbers with the same denominator; some answers simplify.
• Q2: Subtract two mixed numbers with different denominators; some answers simplify.
• Q3: Subtract by breaking the whole; some answers simplify.
Stretch
• Q1: Find the missing mixed number in a subtraction; the whole is broken.
• Q2: Find the missing numerator or denominator in a mixed number subtraction.
• Q3: Subtract by breaking the whole; one fraction is an improper fraction.
Reasoning and Problem Solving
Support
• Q1: Reasoning – explain whether a character has subtracted two mixed numbers correctly, using the same denominators.
• Q2: Reasoning – choose a method to subtract two mixed numbers with the same denominator and explain why.
• Q3: Problem Solving – find mixed numbers with the same denominators whose difference from a point on a number line is within a range.
Core
• Q1: Reasoning – explain whether a character has subtracted two mixed numbers correctly, where one denominator is a multiple of the other.
• Q2: Reasoning – choose a method to subtract two mixed numbers where one denominator is a multiple of the other and explain why.
• Q3: Problem Solving – find mixed numbers with different denominators whose difference from a point on a number line is within a range.
Stretch
• Q1: Reasoning – explain whether a character has subtracted two mixed numbers correctly, using denominators where neither denominator is a multiple of the other.
• Q2: Reasoning – choose a method to subtract two mixed numbers where neither denominator is a multiple of the other and explain why the other method is less efficient.
• Q3: Problem Solving – find mixed numbers with different denominators within a range on a number line, using both ends as limits.
Deeper Reasoning
The questions in this set focus on solving puzzles by subtracting mixed numbers to deepen understanding in how to subtract mixed numbers with different denominators.
