The Year 6 Long Division with Remainders 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.
remainder: The amount left over after a division. For example: 12 ÷ 5 = 2 r2.
Varied Fluency
Knowledge Organiser
• Designed to support all children via key information and examples.
Scaffolded Examples
• Working through a long division with a remainder, step by step.
Support
• Q1: Long division of a 3-digit number by 21, with some multiples given.
• Q2: Long division of a 4-digit number by 21 or 22, with some multiples given.
• Q3: One-step word problems requiring long division of a 3-digit dividend by 22, interpreting the remainder, with some multiples given.
Core
• Q1: Long division of a 3-digit number by a divisor with 2 or 3 tens, with some multiples given.
• Q2: Long division of a 4-digit number by a divisor with 2 or 3 tens.
• Q3: One-step word problems requiring long division of a 4-digit dividend by a divisor with 4 tens, interpreting the remainder.
Stretch
• Q1: Long division of a 3-digit number by a divisor with 4 or 5 tens.
• Q2: Long division of a 4-digit number by a divisor with 4 or 5 tens.
• Q3: Multi-step word problems requiring long division of a 4-digit dividend by a divisor with 4 or 5 tens, interpreting the remainder within the context.
Reasoning and Problem Solving
Support
• Q1: Reasoning - explain whether a character has checked the remainder against the divisor, dividing a 3-digit number by 21 or 22.
• Q2: Reasoning - explain whether a character has interpreted the remainder of a correct long division in context, dividing by 21 or 22.
• Q3: Problem Solving - find 3-digit dividends that leave a given remainder when divided by 21 or 22, each with a different 2-digit quotient.
Core
• Q1: Reasoning - explain whether a character has checked the remainder against the divisor, dividing a 3-digit number by a divisor with 3 tens.
• Q2: Reasoning - explain whether a character has interpreted the remainder of a correct long division in context, dividing by a divisor with 2 or 3 tens.
• Q3: Problem Solving - find 4-digit dividends that leave a given remainder when divided by a divisor with 2 or 3 tens, each with a different 2-digit quotient.
Stretch
• Q1: Reasoning - explain whether a character has checked the remainder against the divisor, dividing a 4-digit number by a divisor with 4 or 5 tens.
• Q2: Reasoning - explain whether a character has interpreted the remainder of a correct long division in context, dividing by a divisor with 4 or 5 tens.
• Q3: Problem Solving - find 4-digit dividends that leave a given remainder when divided by a divisor with 4 or 5 tens, each with a different 2-digit quotient.
Deeper Reasoning
The question in this set focuses on problem solving with long division with 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 interpret remainders as whole number remainders as appropriate for the context, and solving problems involving division.
