Multiply Using the Area Model

Year 5 Mathematics Learning to multiply with visual models

Learning Intention

I can multiply 2-digit numbers using the area model I can partition numbers to make multiplication easier I can add partial products to find the total I can check my answers using different methods

What Is the Area Model?

A visual way to multiply numbers Uses rectangles split into smaller parts Each part represents part of the multiplication Helps us see how multiplication works

Recap: Partitioning Numbers

Split numbers into tens and ones 23 = 20 + 3 47 = 40 + 7 This makes multiplication easier!

Worked Example: 23 × 47

Adding the Parts Together

20 × 40 = 800 20 × 7 = 140 3 × 40 = 120 3 × 7 = 21 Total: 800 + 140 + 120 + 21 = 1081

Guided Practice

Try together: 34 × 52 Partition the numbers first Draw your rectangle Calculate each section Add them all up!

Independent Practice

Mild: 21 × 34 Spicy: 45 × 67 Hot: 58 × 83 Choose your level and work carefully Remember to check your work!

Real-Life Links

Calculating area of gardens or rooms Working out costs for multiple items Planning materials for projects The area model helps us understand multiplication in the real world!