The Year 6 Add and Subtract Simple Fractions 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.
simplified fractions: Fractions where the numerator and denominator cannot be any smaller, although they must still be whole numbers. To find a simplified fraction, the numerator and denominator must be divided by the same number.
Varied Fluency
Knowledge Organiser
• Designed to support all children via key information and examples.
Scaffolded Examples
• Adding and subtracting fractions by converting to the same denominator.
Support
• Q1: Add fractions with one denominator double the other; bar models given.
• Q2: Subtract fractions with one denominator half of the other; bar models given.
• Q3: Complete part-whole models with one denominator double the other; sentence stem given.
Core
• Q1: Add two fractions where one denominator is a multiple of the other.
• Q2: Subtract fractions where one denominator is a multiple of the other.
• Q3: Complete part-whole models by adding or subtracting fractions.
Stretch
• Q1: Add three fractions where one denominator is a multiple of the other two.
• Q2: Find a missing fraction in a subtraction using the inverse operation.
• Q3: Complete part-whole models with three parts by adding or subtracting fractions.
Reasoning and Problem Solving
Support
• Q1: Reasoning – explain whether a character has added two fractions correctly when one denominator is double the other.
• Q2: Reasoning – decide whether a worked answer to a one-step word problem is correct.
• Q3: Problem Solving – find fractions with a given denominator that satisfy three conditions.
Core
• Q1: Reasoning – explain whether a character has added two fractions correctly.
• Q2: Reasoning – decide whether a worked answer finding the amount left in a word problem is correct.
• Q3: Problem Solving – find fractions with a given denominator that satisfy four conditions.
Stretch
• Q1: Reasoning – explain whether a character has subtracted fractions and simplified the answer correctly.
• Q2: Reasoning – decide whether a worked answer combining three fractions in a word problem is correct.
• Q3: Problem Solving – find fractions with a given denominator that satisfy four conditions, including adding or subtracting two given fractions.
Deeper Reasoning
The questions in this set focus on moving through a fraction maze and solving a fraction puzzle to deepen understanding of how to add and subtract fractions with different denominators.