Area Model Multiplication ⋆ 2-Digit Multiplication by NUMBEROCK

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Lesson Plan and Materials Below:

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Watch as Farmer Maslow takes us on a tour of his farm by the sea as he plants his new crops. As he plants a field of green beans, he’ll be showing us how to multiply two-digits by two-digits using the area model. Also known as the Singapore Method, using geometric models to show a deeper understanding of the mechanics of multiplication is something that is a regular part of Farmer Maslow’s everyday life.


Numberock Songs for:

US Age Range
3rd Grade – 5th Grade Elementary School Math
UK Age Range
Year 4 Year 5 Year 6 KS2 Maths


A farmer was planting green beans
in fourteen rows of fifteen.
The area model is how he thought
about the number of plants he got.
First, he multiplied ten by ten
and wrote one hundred with his pad and pen.
Then he multiplied ten by five;
there were fifty more plants coming alive.
Then ten times four equals forty,
and just the bottom corner was empty.
So, he multiplied five by four
and ended up with twenty more.

Split up the place values in multiplication.
Multiply the tens to get the foundation.
Then the other place values get multiplied.
Add the partial products up, and check your work twice.

Then the farmer planted black beans
in twenty-two rows of fifteen.
To find out how many plants he had,
he drew the area model on his sketch pad.
He did twenty times ten and wrote two hundred down;
then ten times two, and twenty’s what he found.
Twenty times five was one hundred, and then,
five times two equaled ten.
He added two hundred, one hundred, twenty, and ten;
the sum was three [hundred] thirty; he checked it again.
So, there were three hundred thirty black beans
in twenty-two rows of fifteen.
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This video addresses the following Common Core Standards:

Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.


Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.