The Year 4 Subtract Two 4-Digit Numbers – No Exchange 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
formal written method: This is also known as the column method for addition, subtraction and multiplication. For division, this may also be known as the bus stop method.
place value chart: Used to identify the value of the digits that make up a number.
exchange: When a digit is taken from one place value column and placed in another.
placeholder: 0 is used to hold a place in a number and maintain its place value.
Varied Fluency
Knowledge Organiser
• Designed to support all children via key information and examples.
Scaffolded Examples
• Using counters, grids with the digits already in place, and a step-by-step guide to subtraction, one column at a time.
Support
• Q1: Subtract with counters, with both numbers written in the grid.
• Q2: Complete column subtractions with the digits already lined up in the grids.
• Q3: Solve a table problem with the numbers already written in the grid.
Core
• Q1: Subtract from counters and complete a calculation using a blank grid.
• Q2: Transfer linear subtractions into blank grids, including a zero placeholder and a 3-digit number.
• Q3: Solve a table problem, choosing the two numbers and using a blank grid.
Stretch
• Q1: Draw the counters for the first number, then cross out and record the subtraction.
• Q2: Line up 3-digit and 4-digit numbers where the answers have several zero placeholders.
• Q3: Solve a two-part table problem, including a 3-digit number.
Reasoning and Problem Solving
Support
• Q1: Reasoning - judging a character’s statement about subtracting with place value counters, with the first number shown in counters.
• Q2: Reasoning - explaining whether a worked column subtraction is correct, with the first number shown in counters and a tip.
• Q3: Problem Solving - arranging four given digits to make a number to subtract from a given 4-digit number shown in counters, with no exchange.
Core
• Q1: Reasoning - judging a character’s statement about subtracting with place value counters.
• Q2: Reasoning - explaining whether a worked column subtraction with a 3-digit number or a zero placeholder is correct.
• Q3: Problem Solving - arranging eight given digits into two 4-digit numbers so that a subtraction needs no exchange.
Stretch
• Q1: Reasoning - judging a character’s statement about subtracting a 3-digit number with place value counters.
• Q2: Reasoning - checking a worked answer given in linear form by completing the column subtraction, including a 3-digit number, where the error involves a zero placeholder or the thousands digit.
• Q3: Problem Solving - arranging eight given digits into a subtraction with no exchange whose answer meets a condition.
Deeper Reasoning
The questions in this set focus on problem solving with subtraction to deepen understanding in subtracting numbers with up to four digits using the formal written methods of columnar subtraction where appropriate, and solving subtraction two-step problems in contexts, deciding which operations and methods to use and why.
