L8 3-Digit Column Addition, with exchanges

A complete Year 3 lesson for teaching column addition with exchange. Includes a place value recap, step-by-step modelling using base-10, guided practice, independent column addition tasks, and a plenary addressing common misconceptions such as forgetting to add the exchanged digit.

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Description

This Year 3 column addition resource focuses on teaching children how to add 3-digit numbers using the formal written method with exchanges. The lesson begins with a starter activity that revisits key learning from Year 3 place value objectives and the Year 2 summer term curriculum. Children recap column addition from the previous lesson by discussing what each column represents, which column they start with, and why digit alignment is important. A shared example helps remind them of the method in preparation for today’s learning.

In the introduction, the teacher explains that the lesson will focus on adding 3-digit numbers where an exchange is required. Base-10 equipment is used to model the process physically, showing how digits are added, what happens when the total in a column exceeds 9, and how to exchange 10 ones for 1 ten. The slides guide pupils through how to record the exchange accurately in the written method. Children then complete a guided example on their whiteboards, followed by a second example completed with a partner. These steps serve as valuable assessment opportunities to check understanding before independent work begins.

During the activity, children use the column method with exchanges to solve a range of addition problems. They select a question from the cut-up resource sheet, record it in their maths books, and complete the calculation using the formal written layout. Pupils who need support can use place value counters or base-10 equipment to help them understand regrouping and ensure accurate digit positioning.

The plenary reinforces the key steps in exchanging during column addition. Children discuss what they need to remember when carrying a digit and reflect on their completed calculations. A common misconception is explored through Malachi’s example, where he forgets to add the exchanged ten, helping children understand the importance of adding regrouped digits correctly. Key questions throughout the lesson focus on identifying hundreds, tens and ones; understanding place value; recognising when an exchange is needed; and the consequences of misaligned digits.

This resource supports the Year 3 addition objectives and helps children build a secure foundation in using the formal written method with exchanges. It is ideal for whole-class instruction, targeted interventions, or consolidation sessions.

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