Folding Fun with Circles
Fold Circles to create additional shapes and solids.
Fold Circles in various ways to discover new shapes and encourage students to think outside the box! With each folding technique, students will recognize new shapes and identify attributes. This is a great opportunity to compare, contrast and classify shapes. Guide students through this exercise and have them create a table of results. Students can draw the shapes and note the attributes. Challenge students to fold squares, rectangles and triangles to create additional shapes and share with the class. Consider folding shapes of various sizes.
Use folding techniques to create various geometric shapes and solids from an 8" Circle.
Supplies Used: Cardstock or Construction Paper
The teacher will die-cut the materials for student use prior to the lesson.
- Die-cut Circles using various colors of cardstock or construction paper.
- Give each student one Circle and have the student fold the Circle in half, twice. Find the center point and mark the center.
- Fold three sections to the center point to create an equilateral triangle (see Main Photo).
- Fold one edge of the triangle towards the opposite side to form a trapezoid (see Video).
- Fold the second edge over the first fold to create a rhombus or parallelogram (see Video). Fold the third edge over the first two to create a smaller equilateral triangle (see Video).
- Open up the smaller triangle and fold each edge of the larger one to the center point. This will result in a hexagon (see Video).
- Unfold the hexagon to create a truncated tetrahedron or square-based pyramid (see Video).
Mathematics, Grade 5: Geometry
5.G 3.1. Distinguish among rectangles, parallelograms, and trapezoids.
Mathematics, Grade 7: Geometry
7.G 4. Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.
Pre-K-5: Instructional programs from Pre-Kindergarten through grade 12 should enable all students to use visualization, spatial reasoning and geometric modeling to solve problems.
- In Pre-Kindergarten through grade 2, all students should recognize and represent shapes from different perspectives.
- In grades 3-5, all students should identify and build a three-dimensional object from two-dimensional representations of that object.
Standards are listed with permission from Principles and Standards for School Mathematics, copyright 2000 by the National Council of Teachers of Mathematics (NCTM). NCTM does not endorse the content or validity of these alignments.