Mod 3 lessons 16
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Module 3 Lesson 16 Symmetry in the Coordinate Plane.notebook 1 February 10, 2015 Jan 294:27 PM Problem Set Lesson 14 Answers
Transcript of Mod 3 lessons 16
Module 3 Lesson 16 Symmetry in the Coordinate Plane.notebook
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Problem Set Lesson 14 Answers
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Problem Set Lesson 15 Answers
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MODULE 3 Rational NumbersTopic C: Rational Numbers & the Coordinate Plane
Lesson 16 Symmetry in the Coordinate Plane
Student Outcomes§ Students understand that two numbers are said to differ only by signs if they are opposite of each other.
§ Students recognize that when two ordered pairs differ only by sign of one or both of the coordinates, then the locations of the points are related by reflections across one or both axes.
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Opening Exercise
Give an example of two opposite numbers and describe where the numbers lie on the number line. How are opposite numbers similar and how are they different?
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Locate and label the points (3,4) and (-3,4)
They are in different quadrants.
Because the x‐coordinates are opposite, it is a reflection over
the y‐axis
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Locate and label the points (3,4) and (3,-4)
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Locate and label the points (3,4) and (-3,-4)
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*to reflect over the xaxis, use the opposite of the ycoordinate
*to reflect over the yaxis, use the opposite of the xcoordinate
The rule for a reflection over the xaxis is (x,y) (x,y) . →
The rule for a reflection over the yaxis is (x,y) (x,y) . →
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a. When the coordinates of two points are (x,y) and (-x,y) what line of symmetry do the points share? Explain.
b. When the coordinates of two points are (x,y) and (x,-y) what line of symmetry do the points share? Explain.
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As a table, follow with your finger along the coordinate plane to follow my directions.
Then tell me.......Where are you?????
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Begin at (7,2). Move 3 units down, then reflect over the y-axis. Where are you? (-7,-1)
Begin at (4, -5). Reflect over the x-axis, then move 7 units down, then to the right 2 units. Where are you? (6,-2)
Begin at (-3, 0). Reflect over the x-axis, then move 6 units to the right. Move up two units, then reflect over the x-axis again. Where are you? (3,-2)
Begin at (-2, 8). Decrease the y-coordinate by 6. Reflect over the y-axis , then move down 3 units. Where are you? (2,-1)
Begin at (5, -1). Reflect over the x-axis, the reflect over the y-axis.Where are you? (-5,1)
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Closing
Please take out your exit ticket for Lesson 16, close your binder, and complete the exit ticket. This will be collected.
§ When the coordinates of two points differ only by one sign, such as (‐8, 2) and (8,2) what do the similarities and differences in the coordinates tell us about their relative locations on the plane?
§ What is the relationship between (5,1) and (5, ‐1)? Given one point, how can you locate the other?
