The Year 6 Change 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
dividend: The number being divided.
divisor: The number the dividend is being divided by.
quotient: The answer to a division.
long division: A formal method of dividing a number that is at least three digits by another number that is two digits or more.
Varied Fluency
Knowledge Organiser
• Designed to support all children via key information and examples.
Scaffolded Examples
• Working through a long division step by step, with the multiples listed.
Support
• Q1: Long division of a 3-digit number by 11 or 12, with some multiples given.
• Q2: Long division of a 4-digit number by 11 or 12, with some multiples given.
• Q3: One-step word problems requiring long division of a 3-digit dividend by 11 or 12, with some multiples given.
Core
• Q1: Long division of a 3-digit number by a divisor equal to or greater than 12 but less than 20, with some multiples given.
• Q2: Long division of a 4-digit number by a divisor equal to or greater than 12 but less than 20.
• Q3: One-step word problems requiring long division of a 4-digit dividend by a divisor equal to or greater than 12 but less than 20, with some multiples given.
Stretch
• Q1: Long division of a 3-digit number by a divisor greater than 20.
• Q2: Long division of a 4-digit number by a divisor greater than 20.
• Q3: Two-step word problems requiring long division of a 4-digit dividend by a divisor greater than 20.
Reasoning and Problem Solving
Support
• Q1: Reasoning - explain whether a character has read the quotient of a long division correctly, dividing a 3-digit number by 11 or 12.
• Q2: Reasoning - explain whether a completed long division of a 3-digit number by 11 or 12 is correct.
• Q3: Problem Solving - find possible dividends when the first step of a long division is given.
Core
• Q1: Reasoning - explain whether a character has read the quotient of a long division correctly, dividing a 3-digit number by a divisor equal to or greater than 12 but less than 20.
• Q2: Reasoning - explain whether a completed long division of a 3-digit number by a divisor equal to or greater than 12 but less than 20 is correct.
• Q3: Problem Solving - find possible dividends when the first step of a long division is given and the quotient must meet one condition.
Stretch
• Q1: Reasoning - explain whether a character has read the quotient of a long division correctly, dividing a 4-digit number by a divisor greater than 20.
• Q2: Reasoning - explain whether a completed long division of a 4-digit number by a divisor greater than 20 is correct.
• Q3: Problem Solving - find possible dividends when the first step of a long division is given and two conditions (one for the quotient and one for the dividend) must be met.
Deeper Reasoning
The questions in this set focus on problem solving with long division with no remainders to deepen understanding in dividing numbers up to four digits by a 2-digit whole number using the formal written method of long division and solving problems involving addition, subtraction, multiplication and division.
