MD.3.7.c

Relate area to the operations of multiplication and addition.

c.  Use tiling to show in a concrete case that the area of a rectangle with whole-number side lengths a and b + c is the sum of a × b and a × c. Use area models to represent the distributive property in mathematical reasoning.

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Formative Assessments
Formative Assessments
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Students are asked to find the areas of two rectangular figures and are observed to determine if they use multiplication.
Area of a Butterfly Garden
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Students are presented with a rectangular area model and asked to write an equation that represents the distributive property.
Using Arrays to Model the Distributive Property
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Students determine the area of a rectangle in two different ways.
Cover Me
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Students are given a rectilinear shape and asked to find its area.
Decompose Shapes to Find Area
Virtual/Hands-on Manipulatives
Virtual/Hands-on Manipulatives
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CPALMS: This extremely versatile manipulative can be used by learners of different grades. At early grades, this manipulative will help the students recognize, name, build, draw, and compare two-dimensional shapes.
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Assessment Questions
Assessment Questions
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Equation Editor
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Videos of Expert Instruction
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Use Real Link and Title
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Hook/Performance Tasks
Hook/Performance Tasks
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The purpose of the task is for students to find the area of figures that can be decomposed and then recomposed into rectangles.
IM:  Finding the Area of Polygons
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This instructional task asks students to apply the distributive property to area models.
IM:  Introducing the Distributive Property
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The purpose of this task is for students to decompose a figure into rectangles and then find the total area of all its smaller non overlapping rectangles.
IM:  Three Hidden Rectangles
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This task allows students to use the concept of tiling as an entry point to linking area with multiplication.
IM:  India’s Bathroom Tiles