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Learning Goal

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Solve real-world and mathematical problems by graphing points in all four quadrants

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6.NS.C.8

Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.

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Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.

What you'll learn

  1. Plot ordered pairs of rational numbers in all four quadrants of the coordinate plane to model real-world and mathematical situations.
  2. Recognize that two points sharing an *x*-coordinate lie on a vertical segment, and two points sharing a *y*-coordinate lie on a horizontal segment.
  3. Compute the distance between two points on a horizontal or vertical segment as the absolute value of the difference of the differing coordinates: |y_1 - y_2| (vertical) or |x_1 - x_2| (horizontal).
  4. Apply the plot-and-measure approach to real-world problems involving city grids, coordinate maps, navigation grids, and elevation profiles.
  5. Compute side lengths and perimeters of polygons on the coordinate plane when the sides are horizontal or vertical.

Slides

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1

Plot points and find distances

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2

Distance applications and polygons

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Practice

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