Mathematics

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50 mins

Teacher/Student led

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Learning Outcomes

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+80 XP

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
6 What Did We Notice?
7 What's Next
Pupil practice

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

Each interactive shows a rectangle already split into four boxes, one for each pair of parts. Notice the four answers in the boxes. We will line them up by place value before adding. Keep an eye on which box turns out biggest.

👇 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 pupil comes to the board and drags the partitions so 42 splits into 40 and 2, and 36 into 30 and 6. Everyone else watches the four boxes appear and calls out each partial with the class 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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