The Year 6 Change 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.
ascending order: When values or quantities have been arranged in size from the smallest to the greatest.
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 numerators to compare fractions; listing multiples to find the lowest common numerator.
Support
• Q1: Compare fractions where one numerator is double the other; bar models given.
• Q2: Compare fractions using the lowest common numerator (given).
• Q3: Order four fractions in ascending order; common numerator given.
Core
• Q1: Compare fractions where one numerator is a multiple of the other.
• Q2: Compare fractions using the lowest common numerator.
• Q3: Find a common numerator to place four fractions in ascending order.
Stretch
• Q1: Compare mixed numbers and improper fractions where one numerator is a multiple of the other.
• Q2: Compare improper fractions and mixed numbers using the lowest common numerator.
• Q3: Order four mixed numbers and improper fractions in ascending or descending order.
Reasoning and Problem Solving
Support
• Q1: Reasoning – explain whether a character has compared two fractions correctly when one numerator is double the other; unshaded bar models provided.
• Q2: Reasoning – decide whether a statement about unit fractions being closer to 0 or 1 is always, sometimes or never true.
• Q3: Problem Solving – find a fraction that satisfies one condition in a word problem context, where the numerators are the same.
Core
• Q1: Reasoning – explain whether a character has compared two fractions correctly when one numerator is a multiple of the other.
• Q2: Reasoning – decide whether a statement about fractions with a given numerator being closer to 0 or 1 is always, sometimes or never true.
• Q3: Problem Solving – find a fraction that satisfies one condition in a word problem context, where the numerators are different.
Stretch
• Q1: Reasoning – explain whether a character has compared a mixed number and an improper fraction correctly.
• Q2: Reasoning – decide whether a statement about mixed numbers being closer to a whole number is always, sometimes or never true.
• Q3: Problem Solving – find a fraction that satisfies two conditions in a word problem context, where the numerators are different.
Deeper Reasoning
The questions in this set focus on problem solving by comparing and ordering fractions to deepen understanding in how to use common multiples to compare and order fractions.
