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Slope & Midpoint in the Coordinate Plane

Slope & Midpoint in the Coordinate Plane. 9.3.4.4 Use coordinate geometry to represent and analyze line segments and polygons, including determining lengths, midpoints and slopes of line segments. Guiding Question: How do geometric concepts apply to the coordinate plane?.

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Slope & Midpoint in the Coordinate Plane

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  1. Slope & Midpoint in the Coordinate Plane 9.3.4.4 Use coordinate geometry to represent and analyze line segments and polygons, including determining lengths, midpoints and slopes of line segments.

  2. Guiding Question: How do geometric concepts apply to the coordinate plane? • Lesson Obj: IWBAT to find the slope, midpoint, and distance of a given line segment in the coordinate plane. • Where are points A,B,C, & D located?

  3. Guiding Question: How do geometric concepts apply to the coordinate plane? • How do you find slope? • What does slope measure? • How do you know if its positive or negative?

  4. Guiding Question: How do geometric concepts apply to the coordinate plane? Slope Formula when given 2 pts. What is the slope of this line?

  5. Guiding Question: How do geometric concepts apply to the coordinate plane? What about a horizontal line? What about a vertical line?

  6. How can you remember which is which? Guiding Question: How do geometric concepts apply to the coordinate plane?

  7. Guiding Question: How do geometric concepts apply to the coordinate plane? If 2 lines are parallel, slopes are THE SAME. If 2 lines are perpendicular, slopes have a product of -1.

  8. Guiding Question: How do geometric concepts apply to the coordinate plane? Midpoint of a line – Halfway between the endpoints of a segment Find the midpoint between these 2.

  9. Guiding Question: How do geometric concepts apply to the coordinate plane? • Find the midpoint between the following • (-4, 2) , (6, 4) • (-2, 3), (-5, 5) • (0, 4), (-3, -6) • Can you find the endpoint if you were given the midpoint and other endpoint? • M: (-4, 2) E: (6, 4) • M: (2, 3) E: (5, -5)

  10. Guiding Question: How do geometric concepts apply to the coordinate plane? • Assignment: Midpoint Worksheet

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