The Year 6 Division Using 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.
divisor: The number the dividend is being divided by.
quotient: The answer to a division.
efficient: To choose the best method to solve a calculation. Sometimes a mental method can be quicker than a written one if there are no exchanges.
Varied Fluency
Knowledge Organiser
• Designed to support all children via key information and examples.
Scaffolded Examples
• Guided practice finding factors of divisors to divide numbers more efficiently.
Support
• Q1: Divide a 3- or 4-digit number by 4 by halving and halving again, with no exchanges in the first halving.
• Q2: Divide a 3- or 4-digit number by a multiple of 10; missing factor 2 or 5.
• Q3: Divide a 3- or 4-digit number using the factor pair shown.
Core
• Q1: Divide a 3- or 4-digit number by 4 by halving and halving again.
• Q2: Divide a 3- or 4-digit number by a multiple of 10; missing factor 3 to 9.
• Q3: Divide a 3- or 4-digit number using factors, completing the factor pair shown.
Stretch
• Q1: Divide a 3- or 4-digit number by 4 and then by 8 using halving.
• Q2: Divide a 3- or 4-digit number by a multiple of 10; missing factor 11 or 12.
• Q3: Divide a 3- or 4-digit number using factors, with neither factor given.
Reasoning and Problem Solving
Support
• Q1: Reasoning - explain whether a factor pair has been used correctly to divide a 4-digit number. Familiar factor pairs.
• Q2: Reasoning - explain which of two methods using factor pairs is the most efficient to divide a 4-digit number. One factor pair clearly more efficient.
• Q3: Problem Solving - find two different factor pairs that could be used to divide a 3-digit number.
Core
• Q1: Reasoning - explain whether a factor pair has been used correctly to divide a 4-digit number.
• Q2: Reasoning - explain which of three methods using factor pairs is the most efficient to divide a 4-digit number.
• Q3: Problem Solving - find three different factor pairs that could be used to divide a 4-digit number.
Stretch
• Q1: Reasoning - explain whether a factor pair has been used correctly to divide a 4-digit number. Including a factor beyond 12 x 12, to divide a 4-digit number.
• Q2: Reasoning - explaining which of three methods using factor pairs is the most efficient, including a factor beyond 12 x 12, to divide a 4-digit number.
• Q3: Problem Solving - find three different factor pairs that could be used to divide a 4-digit number, including factors beyond 12 x 12.
Deeper Reasoning
The questions in this set focus on problem solving with division and factors to deepen understanding in dividing using factors and solving problems involving division.
