Multiply a 3-digit by a 1-digit number with multiple regroups
Lesson details
Learning outcome
I can multiply a 3-digit by a 1-digit number using expanded and short multiplication (multiple regroups).
Key learning points
- If the product of the ones digits is greater than 10 then you regroup ten ones into one ten.
- If the product of the 1-digit number and the tens digit is greater than 100 then you regroup ten 10s into one 100
- If the product of the 1-digit number and the 100s digit is greater than 1,000 then you regroup ten 100s into one 1,000
Keywords
Short multiplication - A way of recording using columns to set out and calculate a multiplication.
Expanded multiplication - A way of recording the steps of a calculation focusing on partitioning one or more factors and showing partial products.
Regroup - The process of unitising and exchanging between place values is known as regrouping.
Common misconception
Incorrectly regrouping or forgetting to record a regrouped amount.
Clear teacher modelling. 'What does this digit represent?' 'Where do we place the regrouped amount?'
Teacher tip
Use base ten blocks to expose the structure of regrouping.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Order the multiplication equations in ascending order.
Q2.___ and ___ are the partial products in this expanded multiplication.
Q3.There are ___ instances of regrouping.
Q4.True or false: 2 tens have been regrouped from the ones to the tens.
Q5.Find the missing number.
Q6.Find the missing number.
Assessment exit quiz
6 Questions
Q1.Match the factor pair to the correct product.
9
28
49
72
27
Q2.Find the missing partial product in this expanded multiplication.
Q3.Look at Andeep's calculation. How many times did he regroup?
Q4.Match the equation to the correct partial product expression.
600 + 9
600 + 30 + 18
1000 + 15
1000 + 50 + 30
Q5.Use short or expanded to solve: 487 × 6 Write the answer in numeral form.
Q6.Look at the image. How many cakes did Jacob bake?
To help you plan your 5 maths lesson on: Multiply a 3-digit by a 1-digit number with multiple regroups, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 5 maths lesson on: Multiply a 3-digit by a 1-digit number with multiple regroups, 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 Multiplication by partitioning leading to short multiplication (3 by 1-digit) unit, dive into the full primary maths curriculum, or learn more about lesson planning.