Multiply a 3-digit by a 1-digit number with no regroups
Lesson details
Learning outcome
I can multiply a 3-digit by a 1-digit number using expanded and short multiplication (no regroups).
Key learning points
- Expanded multiplication of a 3-digit by a 1-digit number will give three numbers to add to calculate the overall product
- Short multiplication builds the overall product from the ones column to the hundreds with no regrouping.
- The partial products can be seen in the expanded and short multiplication strategies.
Keywords
Expanded multiplication - A way of recording the steps of a calculation focusing on partitioning one or more factors and showing partial products.
Short multiplication - A way of recording using columns to set out and calculate a multiplication.
Factors - Numbers we can multiply together to get another number.
Common misconception
Misalignment of digits when setting out short multiplication.
Clear teacher modelling, ask pupils 'what does this digit represent?' Return to expanded layout briefly, before re-doing the problem.
Teacher tip
Model using base 10 blocks to represent the structure. Encourage pupils to think about using an efficient strategy.
Licence
Lesson video
Loading...
Prior knowledge starter quiz
6 Questions
Q1.What is the next number in the sequence? 77, 70, 63,
Q2.Order the multiplication equations in descending order.
Q3.Select the correct expanded arrangement for 44 × 8
Q4.Select the correct short multiplication based on this arrangement.
Q5.Use expanded or short multiplication to solve: 33 × 3
Q6.Find the missing number.
Assessment exit quiz
6 Questions
Q1.Select the correct factor pair for 48
Q2.Select the correct expanded multiplication for this base ten block representation.
Q3.Select the correct short multiplication for: 321 × 3
Q4.Use expanded method to solve 212 × 4
Q5.Use short multiplication to solve 323 × 3
Q6.Solve the worded problem using expanded or short: if all these boxes are the same height, how tall is the stack of boxes?
To help you plan your 5 maths lesson on: Multiply a 3-digit by a 1-digit number with no 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 no 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.