Barcode Scanner

Driving Question: How far does the x-y pattern generator or barcode scanner, have to be placed from a two-dimensional barcode (a QR code) to properly read it?

Synopsis: Barcode scanners need to scan the entire area of a barcode to properly read it. The x-y pattern generator used in this lesson displays a pattern at a fixed angle, the amount of area that it can cover is dependent on how far away the x-y pattern generator is from the barcode. Students will determine how far away the x-y pattern generator needs to be placed in order to properly scan a QR code. Students will apply their knowledge of congruence and similarity criteria for triangles to find the ratio between the size of the x-y pattern and distance from the x-y pattern generator. 

Common Core Math Standards: Students will
  • Prove theorems involving similarity
  • Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
  • Define trigonometric ratios and solve problems involving right triangles
  • Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.
  • Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.
  • Apply trigonometry to general triangles.
  • Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles (e.g., surveying problems, resultant forces).

MCC OPT 110 Topics:

How Light Behaves – reflection    
Light in Technology and Industry – Lasers (barcode scanners)

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