The Year 5 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.
common factors: When two or more numbers share the same factor.
systematically: Working in an organised way.
Venn diagram: A way of sorting a group of different things. It allows us to sort a group of data into two or three circles which overlap in the middle. Each circle follows a given rule, so any numbers or objects placed in the overlapping part follow both rules.
Varied Fluency
Knowledge Organiser
• Designed to support all children via key information and examples.
Scaffolded Examples
• Finding the factors of a number; finding common factors; sorting factors using a Venn diagram.
Support
• Q1: Find common factors with the first factor list given.
• Q2: Sort factors into a Venn diagram; two numbers to be placed in each part.
• Q3: Identify common factors from five choices; divisibility prompt given.
Core
• Q1: Find common factors; both lists written independently.
• Q2: Sort given factors into a Venn diagram.
• Q3: Identify common factors from seven choices.
Stretch
• Q1: Find all common factors independently; less obvious factor relationships included.
• Q2: Sort factors into a Venn diagram; write one more factor in each part.
• Q3: Identify common factors from eight choices.
Reasoning and Problem Solving
Support
• Q1: Reasoning – explain a common factor claim using short factor lists and a checking prompt.
• Q2: Reasoning – use two clues to find which of three pairs is described.
• Q3: Problem Solving – find a number that shares a given factor; hint given.
Core
• Q1: Reasoning – explain a common factor claim by finding and comparing factors independently.
• Q2: Reasoning – use three clues to find which of four pairs is described.
• Q3: Problem Solving – find a number that shares one factor, but not another.
Stretch
• Q1: Reasoning – explain common factor claims involving less obvious factor relationships.
• Q2: Reasoning – use clues about whole sets of common factors to find a pair.
• Q3: Problem Solving – find a number that shares one factor, but not two others.
Deeper Reasoning
The questions in this set focus on identifying common factors to solve complex problems to deepen understanding in how to identify the common factors of two numbers.
