The Year 5 Add 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 that one named column needs an exchange; 5-digit numbers.
Q2: Reasoning - finding a mistake in one of two additions; lining up or a column added wrongly; 5-digit numbers.
Q3: Problem Solving - choosing pairs from a table to reach a total in a given range; one pair is worked for them; 5-digit numbers.
Core
Q1: Reasoning - deciding whether a character is right that two or three columns need an exchange; 5-digit numbers.
Q2: Reasoning - finding a mistake in one of two additions; a misplaced exchange or lining up; 5 and 6-digit numbers.
Q3: Problem Solving - choosing sets of three amounts from a table to reach a total in a given range; 6-digit numbers.
Stretch
Q1: Reasoning - deciding whether a character is right about how many of six columns exchange; 6-digit numbers.
Q2: Reasoning - finding a mistake in one of two six-digit additions with placeholder zeros; 5 and 6-digit numbers.
Q3: Problem Solving - choosing sets of three amounts of different amounts that must include a given month; 4, 5 and 6-digit numbers.
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.
