The Year 6 Short Division 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 short division step by step, with sentence stems.
Support
• Q1: Short division (3 digits ÷ 1 digit) with one exchange. Times tables provided; calculation already added to grid.
• Q2: Short division (4 digits ÷ 1 digit) with one exchange and a remainder. Times tables provided.
• Q3: One-step word problems (4 digits ÷ 1 digit) with one exchange requiring short division and interpreting the remainder; divisor provided on grid.
Core
• Q1: Short division (3 digits ÷ 1 digit) with up to two exchanges. Calculation already added to grid.
• Q2: Short division (4 digits ÷ 1 digit) with up to two exchanges and a remainder.
• Q3: One-step word problems (4 digits ÷ 1 digit) with up to two exchanges requiring short division and interpreting the remainder.
Stretch
• Q1: Short division (3 digits ÷ 1 digit) with up to two exchanges. Calculation not added to grid.
• Q2: Short division (4 digits ÷ 1 digit) with up to three exchanges and a remainder.
• Q3: One-step word problems (4 digits ÷ 1 digit) with up to three exchanges requiring short division and interpreting the remainder.
Reasoning and Problem Solving
Support
• Q1: Reasoning - explain a mistake made in a division calculation (4 digits ÷ 1 digit). One mistake made in times table knowledge.
• Q2: Reasoning - explain whether a solution to a sharing or grouping problem has interpreted the quotient correctly. Dividing by 2 or 5 only.
• Q3: Problem Solving – find a possible solution to a division calculation with two missing digits. No remainder.
Core
• Q1: Reasoning - explain a mistake made in a division calculation (4 digits ÷ 1 digit). One mistake made in either remainder or exchanges.
• Q2: Reasoning - explain whether a solution to a sharing or grouping problem has interpreted the quotient correctly.
• Q3: Problem Solving - find three possible solutions to a division calculation with two missing digits. No remainder.
Stretch
• Q1: Reasoning - explain a mistake made in a division calculation (4 digits ÷ 1 digit). Two mistakes made in calculation.
• Q2: Reasoning - explain whether a solution to a sharing or grouping problem has interpreted the quotient and the remainder correctly.
• Q3: Problem Solving – find three possible solutions to a division calculation with two missing digits. Remainder included.
Deeper Reasoning
The questions in this set focus on problem solving with short division to deepen understanding in dividing numbers up to four digits by a 2-digit number using the formal written method of short division where appropriate, interpreting remainders according to the context.
