6.G.3 Draw polygons in the coordinate plane given coordinates for the vertices and use coordinates to find the length of a side

Posted: February 11, 2015 in Advance

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.

Lesson Videos:

Draw polygons using given coordinates as vertices

In this lesson you will learn how to draw polygons by using given coordinates as vertices.

Find perimeter and area by finding the length of sides using coordinates

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.

Determine unknown ordered pairs using the characteristics of polygons

In this lesson you will learn how to determine unknown ordered pairs by using characteristics of polygons.

Find distances on a map by comparing ordered pairs

In this lesson you will learn how to find distances on a map by comparing ordered pairs.

Isolation Drills:

Drawing polygons

Drawing polygons 2

Rectangles on the coordinate plane

Interactive Practice:

  1. Convex Polygon – Definition and an interactive polygon to experiment with
  2. Creating Polygons – Investigating the Concept of Triangle and the Properties of Polygons (from NCTM)
  3. Geometric Shape Flashcards – Quiz, select the correct answer from a pull down menu
  4. Identify Polygons – Names of polygons by number of sides and angles – instruction and review, practice, and a quiz
  5. Making Triangles – Investigating the Concept of Triangle and the Properties of Polygons (from NCTM)
  6. Minimal Convex Polygon Decomposition – This applet demonstrates the Algorithm of Minimal Convex Polygon Decomposition, by using a dynamic programming approach to the problem.
  7. Minimal Convex Polygon Decomposition Demo – An applet which will decompose a polygon into a minimal number of convex polygons
  8. Name that Polygon – Identify name of given polygon components – instruction and review, practice, and a quiz
  9. Pattern Blocks – This is a little program that lets you make geometrical patterns out of blocks. It’s just like playing with wooden pattern blocks, but there is one big difference: a group command, which makes it much easier to build large patterns.
  10. Polygon Playground – Arrange designs with online movable polygons – hundreds of polygons to drag anywhere you want
  11. Polygons – Introductory lesson from Math is Fun
  12. Separating Shapes – Shape decomposition exercises and possible solutions. [8 page worksheet]
  13. Shape Search – Problem sets and solutions for composing and decomposing simple geometric shapes [8 page worksheet]
  14. Shape Search – Exercises in which students can look for basic geometric shapes in complex real-world architectural forms [2 page worksheet]
  15. Shapes at Work – Purpose: To look for shapes in both the natural and designed world; to investigate the ways in which shapes can be used; to design and build structures using appropriate shapes
  16. Triangle Identification – Type of triangle, given its angles – instruction and review, practice, and a quiz

 

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