Polygons, Angle Sum, Interior Angle, Coordinate Drawing, Coordinate Graphing

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Four Quadrant Graph (Grid 15 x 20 Portrait)
Uses fractional points with 1/2, 3/4, and 2/3 [ex.: (4 1/2, 6) ]

This coordinate graphing project is fun for the student, makes a great bulletin board display and is ideal for reviewing coordinate graphing skills. It can also be used for a class learning about polygons.

Students will use their knowledge of coordinate graphing and ordered pairs to work creating a drawing of 3-sided through 10-sided polygons. This will be done by plotting ordered pairs and then connecting them with straight lines. There are also included handouts for the student to identify the shape, to work on the Angle Sum of a figure, the Interior Angle of a figure and a Bonus question to find the area of the heptagon using triangles. The formulas for the Angle Sum and the Interior Angle are provided.

This activity can be a class project or something to be worked on independently when time allows. It also works as an extra credit assignment or when there is a substitute teacher.

This project is for the intermediate student or the student who has knowledge of fractions and integers. The graph consists of points in the four quadrants using ordered pairs with whole numbers and fractional points using the fractions 1/2, 3/4 and 2/3 for detail. When finished, they can use markers, colored pencils or other medium to enhance the project.

* Coordinate graph paper for plotting (with a light and a dark grid)
* Coordinate list
* Sample of the completed project in color

Instructional Materials include:
* Student Directions for Plotting Coordinates
* Directions for Plotting Coordinates with Fractions and Decimals
* Directions for Plotting Coordinates in Quadrant I
* Directions for Plotting Coordinates in All Quadrants
* Details for Plotting Coordinates with Fractions in Quadrant I
* Details for Plotting Coordinates with Fractions in All Quadrants.

The following handouts are included with an answer key
* Handout to identify the shapes
* Angle Sum of the Figure
* Interior Angle of a Figure

If you like this project, please let me know. There are over 150 projects covering the entire school year and some projects are cross curricular (Sports, Patriotism, Seasons, Holidays, History, and Science). Lessons begin at 4th grade and are appropriate for the Middle School and some for High School students. These projects have been used successfully at both the Elementary and Middle School levels.

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Anthony Iorlano and Linda Iorlano

NCTM Standards
Specify locations and describe spatial relationships using coordinate geometry and other representational systems.

Analyze characteristics and properties of two and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships.

Common Core State Standards
CCSS.Math.Content.5.G.A.1 Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate).
Total Pages
12 pages
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