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The Understanding area exercise appears under the 3rd grade (U.S.) Math Mission. This exercise practices visual understanding of area and geometric comparison.

Types of Problems

There are two types of problems in this exercise:

  1. Identify rectangles with given area: This problem gives users an area and asks them to identify which of the diagrams in the multiple select list have that area correctly modeled.
    Ua1

    Identify rectangles with given area

  2. Compare the area: This problem provides two polygonal regions drawn on a grid. Users are asked to identify which covers more or less squares and this which has more or less area.
    Ua2

    Compare the areas

Strategies

This problem does not require any special geometric knowledge. Rather it can be performed with understanding of how to count square units, and an ability to manipulate pictures.

  1. In order to measure an area with unit squares it is required that the squares are congruent and flush with each other. Also, they must not exceed the figure being measure, nor may the leave any blank space.
  2. On the Compare the area problem the answer less will always connect with smaller and more will always connect with bigger. Also, the A shape will always be the benchmark for comparison.

Real-life Applications

  1. Area and perimeter is used in many jobs for architecture and interior design.
  2. The ancient Egyptians from over 4000 years ago were very good at shapes and geometry. Every time the Nile burst its banks and flooded the planes, they had to use geometry to measure their gardens and fields all over again.

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