Solving problems using column addition and subtraction
Lesson details
Learning outcome
I can solve problems using column addition and subtraction
Key learning points
- When solving problems, the column addition and column subtraction algorithms are sometimes the most efficient methods.
- If the numbers have different amounts of digits, ensure the digits are aligned in their appropriate place value columns.
- Identify when regrouping is needed when carrying out column addition and subtraction.
Keywords
Regroup - The process of unitising and exchanging between place values is known as regrouping. For example, 10 tens can be regrouped for one hundred; one hundred can be regrouped for 10 tens.
Common misconception
Mis-align numbers when setting up algorithms if the numbers have different amount of digits. When finding 1 missing part out of 3 parts, children may perform two subtractions, which is inefficient.
When setting up the algorithm, ensure digits in the same place value place are aligned. When finding 1 missing part of 3 parts, first we add the known parts then we subtract from the whole.
Teacher tip
Provide Base 10 equipment and place value charts to support children who are insecure.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Use column addition to calculate the sum of 4,352 and 2,217
Q2.Use column addition to calculate the total of 5,653 and 124
Q3.Use column subtraction to calculate how much more 8,976 is than 2,346
Q4.Use column subtraction to calculate the difference between 9,367 and 452
Q5.Lucas wins £3,469 in a game he is playing with Aisha. In his next turn, he has to give £527 to Aisha. How much money does he have left? £
Q6.Aisha wins £5,680 in the game that she is playing with Lucas. In her next turn, she wins another £719 How much money does she have now? £
Assessment exit quiz
6 Questions
Q1.Calculate the sum of 3,409,807 and 2,610,155 You may wish to use a column method.
Q2.Calculate the difference between 5,682,743 and 1,225,130 You may wish to use a column method.
Q3.Find the combined total of 1,246,982 and 391,011 You may wish to use a column method.
Q4.Calculate how much more 3,629,980 is than 245,561
Q5.Aisha wins 1,354,906 points in a game then wins another 64,002 points and finally wins another 305,690 points. How many points has she won altogether? points
Q6.Lucas wins 2,308,570 points in his game. He then loses 150,625 points before losing another 1,350,000 points. How many points does he end the game with? points
To help you plan your 6 maths lesson on: Solving problems using column addition and subtraction, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 6 maths lesson on: Solving problems using column addition and subtraction, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
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