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Comparing area and perimeter
Comparing-area-and-perimeter 256
Description
Exercise Name: Comparing area and perimeter
Math Missions: 3rd grade (U.S.) Math Mission
Types of Problems: 2

The first instance of Comparing area and perimeter is under the 3rd grade (U.S.) Math Mission. This exercise continues the practice of finding area and perimeter of rectangles and helps to explore how area is related to perimeter

Types of Problems

There are two types of problems in this exercise:

  1. Use the situation to compare: This is a word problem with two objects that are supposed to be compared in perimeter and area. There are two multiple choice parts and two drop-down menus on this problem type.
    Perandarea1

    Use the situation to compare

  2. Drag the rectangles: This problem has several rectangles and the user is to drag the rectangles to the correct category of boxes to the right.
    Perandarea2

    Drag the rectangles

Strategies

This exercise is easy to get accuracy badges because the problems are not difficult. The speed badges feel hard at this time because of time limits, many questions asked, and load times for the pictures.

  1. In general for comparison, users do not need the full perimeter but can instead use the semi-perimeter by adding just two adjacent sides. It is faster for comparison problems.
  2. On the first problem type one of the measurements (either area or perimeter) will be the same and the other will not be.
  3. On the second problem type research did not see a problem where a rectangle did not belong in some box (although it might just be that not enough problems were checked).

Real-life Applications

  1. Area and perimeter are 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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