In this Year 6 Common Factors lesson, children identify common factors.
The Year 6 Common Factors 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
factors: Numbers we can multiply together to get another number. For example: 2 and 3 are factors of 6 because 2 x 3 = 6.
product: The answer of multiplying two or more numbers together. For example: 30 is the product of 6 x 5.
multiple: A product of one number multiplied by another number. For example: multiples of 10 are the products of numbers multiplied by 10.
common factors: When two or more numbers share the same factor.
systematically: Working in an organised way.
Varied Fluency
Knowledge Organiser
• Designed to support all children via key information and examples.
Scaffolded Examples
• Guided practice in listing factors using factor pairs, then finding common factors from two lists, with sentence stems.
Support
• Q1: List all the factors of a number, with the number of factors given.
• Q2: Find the common factors of a pair of numbers, with the factors of the first number given.
• Q3: Solve a word problem in three parts, listing the factors of each amount first.
Core
• Q1: List all the factors of a number, including a square number.
• Q2: Find the common factors of a pair of numbers.
• Q3: Solve a word problem finding how many equal groups are possible.
Stretch
• Q1: List all the factors of numbers with many factor pairs.
• Q2: Find the common factors of three numbers.
• Q3: Solve a word problem with a condition on the number of groups.
Reasoning and Problem Solving
Support
• Q1: Reasoning - explain whether a character has listed the common factors correctly. Factors of one number provided.
• Q2: Reasoning - decide whether numbers have been sorted correctly in a Venn diagram. All factors present.
• Q3: Problem Solving - find a common factor of two numbers that meets one condition.
Core
• Q1: Reasoning - explain whether a character has listed the common factors correctly.
• Q2: Reasoning - decide whether numbers have been sorted correctly in a Venn diagram.
• Q3: Problem Solving - find a common factor of three numbers that meets one condition.
Stretch
• Q1: Reasoning - explain whether a character has found the greatest common factor.
• Q2: Reasoning - decide whether numbers have been sorted correctly in a sorting diagram. Correct any mistakes.
• Q3: Problem Solving - find a common factor of three numbers that meets two conditions.
Deeper Reasoning
The questions in this set focus on problem solving with common factors to deepen understanding in identifying common factors.
This lesson is designed to align to White Rose Maths version 3. Classroom Secrets Limited is not affiliated with, endorsed by, or in any way connected to White Rose Education Limited. Our products are original to Classroom Secrets Limited and any reference to White Rose Maths is solely for the purpose of indicating compatibility and does not imply any association with White Rose Education.
