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Multiplication using the area model/grid method | Year 5 Mathematics PDF Download

Introduction

When multiplying two 2-digit numbers, we can employ the area model, a visual method that breaks down the multiplication into simpler calculations.

Examples

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Example: 1

This method employs a visual representation to aid in understanding multiplications involving larger numbers. It utilizes the concept that the area of a rectangle equals the length multiplied by the width. Let's begin by applying this method to multiply two-digit numbers together.
Multiplication using the area model/grid method | Year 5 Mathematics

Therefore, we're breaking down a challenging calculation, such as 16 × 14, into four simpler calculations that we already know how to solve.
The solutions to these four simpler calculations can all be combined to provide the solution to the original challenging question.
16 x 14 = (10 x 10) + (10 x 6) + (4 x 10) + (4 x 6)
= 100 + 60 + 40 + 24
= 224

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Multiplication using the area model/grid method
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Example: 2

Multiplication using the area model/grid method | Year 5 Mathematics

  • Step 1: When setting up your multiplication using an area model, draw a grid and partition each number into its tens and ones.
    Multiplication using the area model/grid method | Year 5 Mathematics
  • Step 2: Begin by multiplying the tens from each number together. Then, multiply the tens from each number by the ones, filling out all four sections of the grid.
    Multiplication using the area model/grid method | Year 5 Mathematics
  • Step 3: Add the four numbers from inside the grid together to obtain the result of your multiplication.
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Example: 3

Calculate 38 x 44.

Multiplication using the area model/grid method | Year 5 Mathematics

  • Step 1: Divide the numbers into the grid.
    Multiplication using the area model/grid method | Year 5 Mathematics
  • Step 2: Begin by multiplying the tens from each number together. Next, multiply the tens from each number by the ones, completing all four sections of the grid.
    Multiplication using the area model/grid method | Year 5 Mathematics
  • Step 3: Sum up all the boxes to get the final result.
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FAQs on Multiplication using the area model/grid method - Year 5 Mathematics

1. How does the area model/grid method help in understanding multiplication?
Ans. The area model/grid method breaks down multiplication into smaller, more manageable steps by representing the numbers as rectangles or grids. This visual representation helps students visualize the concept of multiplication and understand how it works.
2. Is the area model/grid method commonly used in UK schools for teaching multiplication?
Ans. Yes, the area model/grid method is a popular teaching strategy in UK schools for helping students understand and master multiplication. It provides a visual aid that enhances learning and comprehension.
3. Can the area model/grid method be used for more complex multiplication problems?
Ans. Yes, the area model/grid method can be adapted for more complex multiplication problems by breaking down the numbers into smaller units and using the grid to visualize the multiplication process. This method can be applied to larger numbers as well.
4. How can students practice multiplication using the area model/grid method?
Ans. Students can practice multiplication using the area model/grid method by creating their own grids or using worksheets that provide grids for them to fill in with the numbers. This hands-on approach helps reinforce their understanding of multiplication.
5. Are there any online resources or tools available for students to practice multiplication using the area model/grid method?
Ans. Yes, there are various online resources and tools available that provide interactive activities and worksheets for students to practice multiplication using the area model/grid method. These resources can be a helpful supplement to classroom learning.
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