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Constructing scale drawings
Constructing-scale-drawings 256
Description
Exercise Name: Constructing scale drawings
Math Missions: 7th grade (U.S.) Math Mission
Types of Problems: 1

The topic Constructing scale drawings appears under the 7th grade (U.S.) Math Mission. This exercise uses a coordinate plane and ratios to connect geometry and algebra in a meaningful way.

Types of Problems

There is one type of problem in this exercise:

  1. Construct the scale diagram: This problem presents a story problem involving a geometric shape. The user is asked to use the grid to construct an appropriate shape to complete the problem.
    Csd1

    Construct the scale diagram

Strategies

Knowledge of ratios or scaling is needed for this problem, although coordinate graphing is not.

  1. The manipulative automatically labels lengths of segments which can help to improve speed without having to measure each individually.
  2. Some problems do not define a scale and say that any scale can be used. On these problems there is usually a convenient scale (often two) which can be used to make sides integer length.
  3. All of the end points will be on specific spots in the grid. If the lengths are not working out it is important to read the problem carefully.

Real-life Applications

  1. Architects use lots of geometry when building bridges, roofs on houses, and other structures.
  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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