Polygon Area With Signed Coordinates
Written by Adi Ackerman, Head Teacher
"Polygon Area With Signed Coordinates" is written for 7th Grade (Ages 12-13). A 6th grader who is already steady on geometry can use it too, and an older student can use it as a short review.
2 pages in this set
7th grade math worksheet: find the area of polygons with negative coordinates by reading vertices and measuring sides on the grid. Answer key included. Part of our coordinate plane geometry collection.
How do I use this worksheet?
Use them after students are comfortable plotting points in all four quadrants. The quilt block task works well as a longer assignment.
What students will practice
- Students will write the coordinates of each vertex of a polygon on a coordinate plane.
- Students will use negative and positive coordinates to find side lengths in units.
- Students will find the polygon's area and show work.
Circumference From Radius or Diameter
Circumference in Terms of Pi and Word Problems
Area of Circles From Labeled Diagrams
Circle Area in Terms of Pi and Word Problems
Circle Area and Circumference From One Measure
Missing Diameter From Whole-Number Circumferences
Missing Diameter From Decimal Circumferences
Missing Diameter Word Problems From Circumference
Curriculum Links
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FAQ
How do I use this coordinate plane worksheet?
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Use them after students are comfortable plotting points in all four quadrants. The quilt block task works well as a longer assignment.
What does this worksheet teach?
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Find the area of polygons with negative coordinates by reading vertices and measuring sides on the grid. The directions on the page read: Write the coordinates of each vertex. Use them to find the lengths named, in units. Each grid square is 1 unit. Find the area and show your work in the box. An answer key is included.
Can I use this coordinate plane worksheet for homeschool or classroom?
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Yes, both. We made it for 7th grade geometry, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.
How do you find the area of a polygon on a coordinate plane?
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Read the coordinates of the vertices, use them to find side lengths, then apply the area formula. For irregular polygons, split the figure into rectangles and triangles and add the areas.
How do you find a side length between two points?
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When two points share an x or y value, subtract the other coordinates and use the distance between them. With negative values, count the units across zero.
What is the quilt block worksheet?
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In Design a Quilt Block on the Coordinate Plane, students plot shapes on a grid where one unit is 1 inch. It has two pages and several parts.
Do these worksheets have answer keys?
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Yes. All 4 worksheets in this group have answer keys.
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Circumference From Radius or Diameter
Circumference in Terms of Pi and Word Problems
Area of Circles From Labeled Diagrams
Circle Area in Terms of Pi and Word Problems
Circle Area and Circumference From One Measure
Missing Diameter From Whole-Number Circumferences
Missing Diameter From Decimal Circumferences
Missing Diameter Word Problems From Circumference