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Polygons in the Coordinate Plane (Grade 6)




 
Videos and lessons to help Grade 6 students learn how to draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems.

Common Core: 6.G.3

Suggested Learning Targets

  • I can draw polygons on a coordinate plane.
  • I can solve real world problems with polygons on a coordinate plane.
  • I can draw polygons in the coordinate plane.
  • I can use coordinates (with the same x-coordinate or the same y-coordinate) to find the length of a side of a polygon.
  • I can apply the technique of using coordinates to find the length of a side of a polygon drawn in the coordinate plane to solve real-world and mathematical problems.
Related Topics:
Common Core for Grade 6, More Lessons for Grade 6




Draw polygons in a plane given coordinates for the vertices and find the length of a side (6.G.3)
In this lesson you will learn how to determine unknown ordered pairs by using characteristics of polygons.
Draw polygons in a plane given coordinates for the vertices and find the length of a side (6.G.3)
In this lesson you will learn how to find distances on a map by comparing ordered pairs.


 
Draw polygons in a plane given coordinates for the vertices and find the length of a side (6.G.3)
In this lesson you will learn how to find the length of sides and then use that to find perimeter and area by comparing coordinates.
Plotting shapes in all Four Quadrants - 6.G.3
In this video, students will learn to plot five sided shapes using all four quadrants of the coordinate grid. This video relates to Common Core Standard 6.G.3.


Activities:

The following activities are obtained from the Howard County Public School System.
1) The following points were plotted on the coordinate plane:
Point A (-7, 6) Point B (3, 6) Point C (3, -6) Point D (?)
If the distance between Point C and Point B is equal to the distance between Point A and Point D, what are the coordinates for Point D? How do you know?
2) Triangle PQR and triangle QRS have vertices
P(–9,7), Q(4,7), R(4,–3), and S(10,–3).
What is the area, in square units, of quadrilateral PQSR, which is formed by the two triangles?
3) Donnie created a triangle on a coordinate plane using coordinates (2,3); (2, 5); (7, 3).
Stewart created a triangle on the same coordinate plane using coordinates (-4, 5); (-4, 7); (-9, 5).
Do their triangles have the same area? Explain why. Constructing polygon on the coordinate plane example.
Polygons on the coordinate plane


 

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


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