Area Model/Window Method
(DeShaw, 2020)
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Purpose
Purpose
The Area Model/Window Method can be used to assist with 2 digit by 2 digit multiplication. This strategy places emphasis on place value. Using this method, students can use their knowledge of place value to break apart both numbers into their ones and tens (i.e., expanded form). In return, this process creates easier numbers to work with. For some students this is a more efficient way of multiplying.
Rationale
Rationale
Students with learning disabilities tend to have difficulty multiplying the standard way. For this, it is important for students to use their background knowledge of place value to multiply 2 digit by 2 digit numbers. The Area Model/Window Method helps students decompose numbers and multiply.
Steps of the Strategy
Steps of the Strategy
Draw a large box (i.e., square).
Draw a vertical line down the center and a horizontal line down the middle.
You should now have 4 equal parts.
Write out both factors in expanded form.
Place the first expression at the top of the box.
Place the second expression on the left hand side of the box.
Fill in the grid by multiplying each pair of numbers.
Add up all the numbers in the box.
The sum is your answer.
Generalization Plan
Generalization Plan
To promote generalization, when multiplying 2 digit by 2 digit numbers, students can be given a pre-made worksheet that contains several Area Models. This will give students ample space to show their work. On the worksheet, the teacher may also include clear and concise language explaining what steps the student needs to follow to use this strategy correctly. A completed example can also be added. After practicing the skill for a week, the worksheet will be faded and students will be encouraged to write key words to help them remember the steps. Students can also draw their own Area Models.
Example
Example
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