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Column Addition
Objectives
To understand that in the column addition method, only single digits are worked with at one time.
To realise the importance of place value.
To understand the concept of carrying over to the next column.
To be able to add multiple large numbers.
Resources
Abacus 4 Textbook 1 | Squared paper | Everyday items of specific 3D shapes, e.g. a book (cuboid), ball (sphere), kitchen roll tube (cylinder), etc. | Column Addition (MyMaths)
Today's Lesson
Main Activity
New students to the Wolsey Hall programme should learn the 8 times table throughout the course of the week, as well as doing the other mental warm up exercises.
Look around the room for some regular 3D shapes. For example, a hardback book, a ball, a kitchen roll. Ask your student to name the shapes and to describe their features using mathematical language. For example, how many faces, edges and vertices do they have? Try to find at least three or four different shapes.
Turn to page 43 in Abacus 4 Textbook 1.
Look at the example at the top of the page. The numbers are not written in the expanded method, as your student should now be able to understand the value of each digit by its place within the number. Assure your student that although the calculations involve adding three digit numbers, the column method only addresses single digits to work with at any time.
Run through activities 6 and 7 on Column Addition (MyMaths)
Remind your student that you can only place the single digits 0-9 in any place value column. If the total of the 1s column is greater than 9, the ten must be carried over to the tens column. Similarly, only 9 tens are allowed in the tens column. If the total of the 10s column is greater than 9, the hundred must be carried over to the hundreds column. Revisit the example from the previous lesson, or write out a new example together if you need to.
Ask your student to complete the calculations on the page. Once they have completed the calculations in the ‘Think’ section, they should establish the pattern and be able to discuss their observations with you.