The Year 5 Subtract Whole Numbers with More than Four Digits 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.
Varied Fluency
Knowledge Organiser
• Designed to support all children via key information and examples.
For the purple sections of the four levels, copy and paste these from the first sheet of the varied fluency resource.
Scaffolded Examples
• Column addition with and without an exchange, and with different digit lengths.
Support
• Q1: Complete the calculation. Digits already in the grid; 2 x 5-digit numbers; one exchange; counters to support.
• Q2: Complete the calculations. Digits already in the grid; 5-digit + 4-digit; one exchange.
• Q3: Answer questions about an addition calculation. One question from the table; two numbers to add; blank grid provided.
Core
• Q1: Complete the calculation. Digits already in the grid; 2 x 5-digit numbers, one then two exchanges.
• Q2: Complete the calculations. Written in a line to transfer; 5-digit + 4-digit, then 6-digit + 5-digit; one then two exchanges.
• Q3: Answer questions about an addition calculation. Two questions from the table; two numbers to add each time; no grid provided.
Stretch
• Q1: Complete the calculation. Digits already in the grid; 5-digit + 5-digit, then 6-digit+ 6-digit; exchanges into zeros.
• Q2: Complete the calculations. Written in a line to transfer; 2 x 6-digit + 4-digit; exchange into a zero.
• Q3: Answer questions about an addition calculation. Two questions from the table; two numbers to add, then three; no grid provided.
Reasoning and Problem Solving
Support
• Q1: Reasoning - deciding whether a character is right about an always, sometimes or never statement; 5-digit numbers.
• Q2: Reasoning - deciding which of two children has found a difference correctly;5-digit numbers; one exchange.
• Q3: Problem Solving - completing a subtraction with one missing digit so the answer is greater than a given number; 5-digit numbers.
Core
• Q1: Reasoning - deciding whether a character is right about an always, sometimes or never statement; 5-digit numbers including a zero.
• Q2: Reasoning - deciding which of two children has found a difference correctly;5- and 6-digit numbers; one or two exchanges.
• Q3: Problem Solving - completing a subtraction with two missing digits so the answer falls in a given range; 5-digit numbers.
Stretch
• Q1: Reasoning - deciding whether a character is right about an always, sometimes or never statement; 6-digit numbers.
• Q2: Reasoning - deciding which of two children has found a difference correctly;5-digit and 6-digit numbers; multiple exchanges.
• Q3: Problem Solving - completing a subtraction with two missing digits so the answer is greater than a given number; 6-digit numbers with a zero.
Deeper Reasoning
The questions in this set focus on problem solving with subtractions to deepen understanding in subtracting whole numbers with more than 4 digits, including using formal written methods.