Explain how to use long multiplication to multiply a 4-digit by a 2-digit number
Lesson details
Learning outcome
I can explain how to use long multiplication to multiply a 4-digit by a 2-digit number.
Key learning points
- Calculate the partial products.
- Add the partial products to recombine.
- Regroup when numbers bridge 10, 100, 1,000, 10,000
Keywords
Partial product - Any of the multiplication results we get leading up to an overall multiplication result is a partial product.
Regroup - The process of unitising and exchanging between place values is known as regrouping.
Common misconception
Pupils find it challenging to keep track of multiple regroupings in the long multiplication layout and therefore forget to add these to partial products.
Estimation can support checking of magnitude. Discuss and agree on a position for regrouped values and continuously model noting and using these.
Teacher tip
Developing a sense of magnitude with learners is a key way in which to support them to check the accuracy of their answers.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Match the multiplication expressions to their products.
Q2.What is 6,000 × 9 =
Q3.What is 700 × 60 =
Q4.Complete the long multiplication algorithm to find the product.
Q5.Sam shuffles some cards and arranges them as long multiplication. Use this to calculate the product.
Q6.Sam shuffles some cards and arranges them as long multiplication. Use this to calculate the product.
Assessment exit quiz
6 Questions
Q1.Look at the long multiplication below. The highlighted number is known as the .
Q2.Complete the long multiplication to find the product.
Q3.The Olympic stadium sells tickets for various events. Each event has 3,145 tickets available, and there are 23 events. How many tickets are sold in total? {{ } tickets
Q4.Each of the 3,414 athletes will receive 22 bottles. How many water bottles are needed in total? bottles
Q5.What is the missing digit in the long multiplication?
Q6.What is the missing digit in the long multiplication?
To help you plan your 6 maths lesson on: Explain how to use long multiplication to multiply a 4-digit by a 2-digit number, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 6 maths lesson on: Explain how to use long multiplication to multiply a 4-digit by a 2-digit number, 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.
Explore more key stage 2 maths lessons from the Multiplying and dividing by 2-digit numbers unit, dive into the full primary maths curriculum, or learn more about lesson planning.