Explain how to use long multiplication to multiply two 2-digit numbers with regrouping
Lesson details
Learning outcome
I can explain how to use long multiplication to multiply two 2-digit numbers with regrouping.
Key learning points
- Calculate the partial products.
- Add the partial products to recombine.
- Regroup when numbers bridge 10 or 100
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 forget to include regrouped values when multiplying.
Decide on a place and structure for regrouped values - they are included at the top of the algorithm in these lessons to avoid confusion with addition regrouping when partial products are summed. Ensure this is clearly modelled.
Teacher tip
In Cycle B, a game of bingo is introduced. This allows for deliberate practice of the strategies included in the lesson. Consider how this activity may be best carried out in your class.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Look at the equation 45 × 23 = 1,035 45 and 23 are both __________.
Q2.Use known facts to match the expression to its product.
180
630
250
840
Q3.Look at the long multiplication below. How many tens have been regrouped? ten(s) has been regrouped.
Q4.Look at the long multiplication below. Calculate the missing partial product.
Q5.Use long multiplication to calculate. A football match is selling tickets at £35 It sells 22 tickets on Tuesday. How much money was made altogether? £
Q6.Use long multiplication to calculate. A concert is selling tickets at £37 each. It sells 114 tickets on Thursday. How much money was made altogether? £
Assessment exit quiz
6 Questions
Q1.Select the correct long multiplication layout for 43 × 27
Q2.Look at the equation 145 × 23 = 3,335 145 and 23 are both __________.
Q3.Look at the long multiplication below. The number circled is known as a partial .
Q4.T-shirts are displayed on racks. Each display rack holds 45 t-shirts, and there are 34 display racks in the shop. Which equation represents this?
Q5.T-shirts are displayed on racks. Each display rack holds 45 t-shirts, and there are 34 display racks in the shop. How many t-shirts are there? t-shirts
Q6.There are 86 volunteers involved in each leg of the Olympic torch relay. If there are 48 legs of the relay, how many volunteers are involved in total?
To help you plan your 6 maths lesson on: Explain how to use long multiplication to multiply two 2-digit numbers with regrouping, 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 two 2-digit numbers with regrouping, 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.