Multiply a 2-digit number by a 1-digit number using partitioning and representations (one regroup)
Lesson details
Learning outcome
I can use an array to represent multiplication and use place value in an array to represent multiplication of a 2-digit number
Key learning points
- Partitioning allows us to multiply the tens and then the ones and recombine the products.
- The grid can represent the array.
- Multiply the ones and tens separately and recombine.
Keywords
Array - An array is the layout of items (such as objects, numbers, etc.) arranged in rows and/or columns.
Product - The result of two or more values multiplied together.
Regroup - The process of unitising and exchanging between place values is known as regrouping.
Common misconception
Pupils may not regroup correctly if they do not understand the place value of digits in a factor.
Encourage pupils to use the stem sentences / array to identify when they may need to regroup.
Teacher tip
Using base ten blocks to represent a multiplication equation initially is useful and all pupils should have access to this representation.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.The number 17 can be partitioned into 1 ten and ones.
Q2.The number 59 can be partitioned into tens and 9 ones.
Q3.The answer when two or more values are multiplied together is called a .
Q4.Look at the image. What is the name given to the numbers shown by the arrows?
Q5.Select the array which shows 3 x 4
Q6.Look at the array. What does it represent?
Assessment exit quiz
6 Questions
Q1.Which array shows 3 × 18?
Q2.Which grid represents the multiplication fact 25 × 4?
Q3.Which multiplication is represented by this grid model?
Q4.Match the question with the amount of regrouping.
no regrouping
regrouping in ones
regrouping in tens
Q5.Select the correct multiplication equation for the following word problem: Lucas is preparing party packs. He has 8 packets of 32 pens. How many pens does he have altogether?
Q6.Lucas is preparing for a party, he needs a box of sweets which has more than 120 sweets but less than 160. Which box should he choose?
To help you plan your 5 maths lesson on: Multiply a 2-digit number by a 1-digit number using partitioning and representations (one regroup), download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 5 maths lesson on: Multiply a 2-digit number by a 1-digit number using partitioning and representations (one regroup), 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 (2 by 1-digit) unit, dive into the full primary maths curriculum, or learn more about lesson planning.