Mathematics

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50 mins

Teacher/Student led

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Learning Outcomes

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+65 XP

Teacher-led from the board — pupils need no device

What you need:
IWB/Projector/Large Screen

Multiplying Two Two-digit Numbers

Learn to multiply two two-digit numbers by partitioning both factors into tens and units, then adding the four partial products using an area model.

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1 Getting Started
2 Watch and Notice
3 Try It Together
4 Sketch the Grid in Your Copy
5 Class Challenge
Pupil practice

Your turn

Your teacher is running this lesson on the board. Here is the part you can try yourself.

Your written work is on page 25

Area model

1 - Getting Started ~4 mins

Key point

Illustration for Getting Started Here is a multiplication we have never tackled before: 23 × 14. Both numbers have two digits. Roughly how big do you think the answer will be? More than 100? More than 300? Give me your best estimate before we work anything out.

👇 Mark your steps as done as you complete them.

+5 XP

2 - Watch and Notice ~9 mins

You are about to see the same rectangle three times, each one already split into four boxes. Read the four answers inside the boxes, and work out for yourself which of them is the biggest before we say it aloud. We will line the four up by place value before we add them.

👇 Mark your steps as done as you complete them.

+10 XP

3 - Try It Together ~11 mins

Worked example

We work through this one together: 42 × 36. One of you drags the partitions at the board while the rest of you watch the four boxes appear, and then we all call out each partial before we check it: first 40×30, then 40×6, then 2×30, and finally 2×6.

42 × 36 together

+15 XP

4 - Sketch the Grid in Your Copy ~3 mins

COPYBOOK MOMENT

In your maths copy, sketch the 2×2 area-model grid for 23 × 14 (our first product). Break it into four boxes: 20×10, 20×4, 3×10, 3×4. Write each sub-product inside its box, then total them at the bottom.

20 × 10
20 × 4
3 × 10
3 × 4

+10 XP

5 - Class Challenge ~8 mins

Key point

We work through these products together, in order: 28 × 23, then 47 × 35. If time allows, we push on to the stretch pair: 64 × 19, then 87 × 96. Each one adds a wrinkle: bigger tens, then a bigger units digit, then numbers close to a round hundred. Partition both factors, find the four boxes, and check the total.

Two-digit by two-digit products

+15 XP

Pupil practice

Module 2 · Operations and Computational Fluency Number

Lesson 26 · Multiplying Two Two-digit Numbers

Download Activity Book page (PDF)

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