The Year 4 Add Two 4-Digit Numbers – One 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
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.
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.
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.
For the purple sections of the four levels, copy and paste these from the first sheet of the varied fluency resource.
Scaffolded Examples
• Using place value counters and sentence stems to add two 4-digit numbers; completing a calculation using a grid; using sentence stems to find the missing digit in a calculation.
Support
• Q1: Add two 4-digit numbers with counters; the exchanged digit is given.
• Q2: Use bar models with the parts already written in the grid.
• Q3: Find the missing digit in a column addition; the exchanged digit is given.
Core
• Q1: Add two 4-digit numbers with counters, using a blank chart.
• Q2: Use bar models with a blank grid for the written method.
• Q3: Find the missing digit in a column addition, with the exchange in the ones.
Stretch
• Q1: Complete an addition with one exchange using the formal written method.
• Q2: Predict the exchange column, then find the whole from a bar model.
• Q3: Find the missing digit in a column addition, with the exchange in the tens or hundreds.
Reasoning and Problem Solving
Support
• Q1: Reasoning - judge whether a character has added correctly when one exchange is needed, with a tip.
• Q2: Reasoning - explain whether a worked column addition is correct, with a tip.
• Q3: Problem Solving - work out digits hidden by splats so the exchange falls in the ones column, with a tip.
Core
• Q1: Reasoning - judge whether a character has added correctly when one exchange is needed.
• Q2: Reasoning - explain whether a worked column addition is correct.
• Q3: Problem Solving - work out digits hidden by splats so the exchange falls in a named column.
Stretch
• Q1: Reasoning - judge a character’s answer where the exchange is in the tens or hundreds column.
• Q2: Reasoning - explain a worked answer where the exchanged digit has been placed in the wrong column.
• Q3: Problem Solving - work out four digits hidden by splats so the exchange falls in a named column.
Deeper Reasoning
The questions in this set focus on problem solving to identify two numbers to reach a given total to deepen understanding in adding numbers with up to 4 digits using the formal written methods of columnar addition where appropriate.
