NDLI: Area Model

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Area Model

Content Provider	PBS LearningMedia
Copyright Year	2017
Description	When first learning to multiply two two-digit numbers your child will use the area model. To start, your child will use her knowledge of place value to decompose into tens and ones. To decompose means to break apart. Let’s decompose these numbers by the value of each digit. The value of two tens is twenty. The value of three ones is three. Three tens is thirty. And five ones is five. Decomposing numbers allows your child to use the multiplication fluency she developed in third grade to multiply large numbers with mental math. So, what is twenty-three times thirty-five? Three tens times two tens equals sixty tens or six-hundred. Thirty tens times three equals nine tens or ninty. Twenty tens times five equals ten tens or one-hundred. And three times five equals fifteen. Your child will then add these products together. Six-hundred plus ninety equals six-hundred ninety. One-hundred plus fifteen equal one-hundred fifteen. By fourth grade, your child will fluently add three-digit numbers, like this, using the standard algorithm. Your child can clearly see why twenty-three times thirty-five equals eight-hundred-five. The area model gives your child a visual representation that decomposes the numbers she is multiplying. At this point in fourth grade, your child is developing a pictorial level of understanding, which will give her a strong foundation for using partial products and, later, using the standard algorithm to multiply.
Sponsorship	Southern Tier Teacher Center Network (STTCN) Schuyler-Chemung-Tioga/Corning Teacher Center NYS Teacher Centers
Language	English
Publisher	PBS Learning Media
Publisher Date	2017-03-17
Access Restriction	Open
Rights Holder	WSKG Public Telecommunications Council
Subject Keyword	Mathematics K-8 Mathematics Number & Operations in Base Ten Multi-Digit Arithmetic Multiplying Whole Numbers Using Strategies and Properties (Grade 4)
Content Type	Video
Educational Role	Teacher Student
Time Required	PT2M24S
Education Level	Class IV
Resource Type	Broadcast
Subject	Numbers

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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