The Year 6 Add 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.
improper fraction: A 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: Add two mixed numbers with the same denominator; shaded bar models given.
• Q2: Add two mixed numbers with different denominators; shaded bar models given.
• Q3: Add mixed numbers that make an extra whole with a prompt to find the lowest common denominator.
Core
• Q1: Add mixed numbers with the same denominator; some answers simplify.
• Q2: Add mixed numbers with different denominators; some answers simplify.
• Q3: Add mixed numbers that make an extra whole; some answers simplify.
Stretch
• Q1: Add three mixed numbers with the same denominator; one extra whole.
• Q2: Find the missing numerator in a mixed number addition.
• Q3: Add three mixed numbers with different denominators; two extra wholes.
Reasoning and Problem Solving
Support
• Q1: Reasoning – explain whether a character has added two mixed numbers correctly, using the same denominator and one-digit whole numbers.
• Q2: Reasoning – choose a method to add two mixed numbers with the same denominator and explain why.
• Q3: Problem Solving – choose two routes with related denominators (choice of two denominators) to make a total within a range.
Core
• Q1: Reasoning – explain whether a character has added two mixed numbers correctly, using different denominators or two-digit whole numbers.
• Q2: Reasoning – choose a method to add two mixed numbers with different denominators and explain why.
• Q3: Problem Solving – choose two routes with different denominators to make a total within a range.
Stretch
• Q1: Reasoning – explain whether a character has added two mixed numbers correctly, using different denominators and two-digit whole numbers.
• Q2: Reasoning – choose a method to add two mixed numbers with different denominators and explain why the other method is less efficient.
• Q3: Problem Solving – choose three routes with different denominators to make a total within a range.
Deeper Reasoning
The questions in this set focus on problem solving with mixed numbers to deepen understanding in adding mixed numbers.
