Geometric Construction Activities for High School

Instructor: Tawnya Eash

Tawnya has a master's degree in early childhood education and teaches all subjects at an elementary school.

Check out various activities in this lesson that will help your students learn all about geometric constructions. They will have fun while deepening their knowledge of geometry.

Need for Activities

All students need a chance to show what they know through various activities and performance tasks. Incorporating activities will help engage all learners as well as speak to their different learning styles. Use the ideas in this lesson for teaching your students about geometric constructions to give them a hands-on approach to learning. You can easily adapt any activity to meet the needs of your students. You could even evaluate their work by creating rubrics specific to each activity.

Check out what your students can do!

Geometric Construction Activities

It's a Takeover

Your students get to take over and teach their classmates specific geometric constructions.


  • Drawing paper
  • Writing paper
  • Compasses
  • Rulers
  • Pencils
  • Colored pencils, colored pens
  • Resources on geometric construction
    • Notes and texts
    • Computers with internet (if available)


  • Students will work individually, then with a partner.
  • Divide your class into at least two groups. Each student in the group will be assigned a specific geometric construction to learn about and teach to another student.
    • If you have 20 students, you could make five groups of four. Choose four different constructions to assign to students in each group. Do not overlap constructions within the same group.
    • Ideas for constructions could include, but are not limited to, angle bisector, specific angles, equilateral triangle, line cut into specific number of line segments, center of a circle, inscribed pentagon, etc.
  • Once a student is assigned a specific construction, allow time for them to collect information about it and practice drawing it.
  • Students should practice drawing their constructions until they are close to perfect. At this time, students will write down their own steps for creating their geometric construction, including any tips they used along the way.
    • Steps to construct specific geometric figures can be written on paper using colored pencils or colored pens to help organize and distinguish each step.
  • Now students will partner up with another student from their group. They will teach one another, step-by-step, how to draw their geometric construction.
    • Example: student one drew an inscribed pentagon. Student two drew an equilateral triangle.
    • They will each teach their construction to one another and allow time to practice.
  • (Optional) If you want students to make more drawings, you could pair them up with a new partner during another class.
    • You could also have students go one at a time, teaching the whole group instead of partnering them up.
  • Students may display finished drawings on a bulletin board in the classroom or hallway.

Stained Glass

Your students get to combine art and math with this design.


  • White drawing paper (at least 17 x 22 inches)
  • Compasses
  • Rulers
  • Pencils
  • Notebooks
  • Colored pencils, markers, crayons
  • Resources on types of geometric constructions and how to create them


  • Students will work individually.
  • Have students imagine that the school is going to remodel one of the office windows. They've hired someone to create a stained glass window, but this person does not have time to design it. Your class has the opportunity to make their own designs. One of the designs will be selected to use as the window!
    • You could possibly talk with administration and see if anything like this could be applicable to make it come to life for your students!
  • Students must construct a design incorporating at least 5 different geometric constructions.
    • Students must incorporate a border around the entire window.
    • They could use constructions such as circles, triangles, various polygons, etc.
    • They can use each construction more than once within the picture to create the entire window.
    • Students must fill up the entire drawing sheet with their design.
  • Allow students time to make a sketch of their design in their notebooks.
  • Then, students will create their window designs.
  • Display the designs on the board or somewhere where students can vote for their favorite one. Give each design a number. Have students look at all of the designs and vote for their favorite one!
    • You could simply do a tally chart beside each picture for every vote it gets, or have students place a number in a bag/container.
  • The design with the most votes would win the opportunity to be used as the stained glass window for the school!

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