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Example Questions

Question 1: TV Area Comparisons

You work in the electronics department at a local Best Buy. A customer comparing television set prices asks the following question: What is the difference in area between a 52" television (aspect ratio 4:3) and a 65" high-definition television (aspect ratio 16:9)?

Objective

The user will calculate the difference in area between different sizes and aspect ratios of television sets.

Topics

The following topics are required knowledge to correctly answer the question. Links will be provided to a glossary page for users that need further assistance.
  • Area of a rectangle
  • Height/width aspect ratio
  • Pythagorean theorem
  • Algebraic expressions

Background Knowledge

  • A television set measurement indicates the length of its diagonal.
  • The width-height aspect ratio of a standard television is 4:3.
  • The width-height aspect ratio of a high definition television is 16:9.

Diagram

[insert diagram here]

Manipulative

The following manipulatives allow you to experiment in creating various sizes of television sets. Drag a corner to modify the width, height, aspect ratio, diagonal, and area of the screen.

[insert manipulative here]