To assess the standard that area concepts relate to multiplication and addition, students should do what?

• A. Find the area of a rectangle using unit squares and explain why it is the same as the product of the side length.
• B. List all possible area formulas for a rectangle.
• C. Explain why perimeter equals twice the sum of sides.
• D. Add the areas of several small rectangles to estimate total area.

Answer: (A)

Understanding how area connects to multiplication and addition is shown most clearly when students use unit squares to tile a rectangle and determine its area. This concrete approach shows area as a count of unit squares (repeated addition) and at the same time reveals that the total number of squares equals length times width (a multiplication fact). Explaining why the area is the product of the side lengths ties the additive idea of counting units directly to the multiplicative idea of length times width.

The other options don’t make that connection as directly. Listing all possible area formulas focuses on memorization rather than how area arises from counting and from multiplying side lengths. Explaining perimeter is about a different concept, and adding areas of several small rectangles demonstrates addition but not the explicit, concrete link between area and the multiplicative relationship of the sides.