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Area of Irregular Polygons on the Plane

Written by Adi Ackerman, Head Teacher

"Area of Irregular Polygons on the Plane" 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.

Popular with 7th Grade teachers · Downloaded 446 times
Area of Irregular Polygons on the Plane
Area of Irregular Polygons on the Plane

7th grade math worksheet: split irregular polygons on a coordinate grid into rectangles and triangles and add their areas. 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 draw lines to divide an irregular polygon into rectangles and triangles.
  • Students will find the area of each part on a grid where each square is 1 unit.
  • Students will add the parts to get the total area.


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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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Split irregular polygons on a coordinate grid into rectangles and triangles and add their areas. The directions on the page read: Draw lines on the grid to split each polygon into rectangles and triangles. Each grid square is 1 unit. Find the area of each part in the box, then add to get the total. 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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Worksheet Details

Grade7th Grade
SubjectMath
TopicGeometry
Pages1 page
DifficultyMedium

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