GM-U3.2b Lesson: Problems w/ Translations

Unit 3 Lesson 2b:
Problems of Translations

​Goal:

Students are going to perform, describe and solve problems of translations.

Concept:

​Arrow Notation

Arrow Notation, (x, y) ----> (x + a, y + b), where "a" and "b" are real numbers that describe the motion of x and y.

Concept:

​Coordinate Displacement

Coordinate Displacement, (a, b), where "a" and "b" are real numbers that "displace" x and y by the quantities of "a" and "b".

​Procedure:

1) Use Pythagorean Theorem to find the straight line distance between points.
2) Add translations to find the rigid motion between points.
3) Compare the two.

Graph the translation:
(x - 2, y - 3)

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​Example 1:

Graph the translation:
(1, 1)

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​Example 2:

​Compare the sum of the translations to the straight line distance between the points.

​Example 3: