Geometry Ornament Project



Geometry Ornament Project

1. Use a compass, a protractor and the illustration on the back of this page to inscribe 20 equilateral triangles into 20 circles. (See page 2 for directions.)

2. Before assembly begins, measure the radius of one of the circles and calculate the circumference. Write these measures on the VISIBLE side of one of the circles. Make sure it is visible on the final project. Also write your NAME, Teacher Name and Period on another circle. (10 pts)

3. Fold circular flaps up along the lines to form a triangle. (See diagram on back)

4. Apply glue to the back of one flap of two triangles and join to start forming the middle band. Continue gluing triangles together until 10 are assembled as shown on the back. (See diagram on back)

5. Glue 5 triangles together at flaps to make top. (See diagram on back)

6. Make bottom in same manner as top.

7. Join top to middle band by gluing flaps. (Insert ribbon for hanging before attaching top to middle.)

8. Join bottom to middle band.

9. Do NOT add any decorations to the completed ornament. All edges must be visible.

You may use old Christmas cards, poster board, card stock paper, or another suitable material. This is a GEOMETRY project and precision is critical. All shapes must be accurately constructed and the icosahedron properly assembled.

Suggestions and Reminders:

1. Due on _________________________________

2. Turning it in early receives 5 bonus points.

3. Hot glue works best! Must let dry! No Staples! Don’t wait until the last minute.

4. Doesn’t have to be holiday themed but must be school appropriate.

5. Make sure you look at the list of materials.

6. Flaps outward works best. You can have inward but they are harder.

7. If you want a string to hang, put the string in before you attach the top, middle, and bottom.

This is a GEOMETRY project and is intended to show precision of measurement and construction.

Score is based upon neatness and accuracy.

MAXIMUM SCORE = 100

(5 pts for radius and circumference. 5 pts for Name/teacher/period)

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Step 1: On one of your cards, using a compass, draw a circle using a given point for the center.

Step 2: Using a straightedge, draw the radius from the center point to the circle.

Step 3: Using a protractor, measure 120 degrees clockwise and draw another radius.

Step 4: Using a protractor, measure 120 degrees counter-clockwise and draw another radius.

Step 5: Using a protractor, measure the third angle to confirm it measures 120 degrees.

Step 6: Using a straightedge, connect the three points on the circle to form an equilateral triangle.

Step 7: Cut out the circle and trace it onto another card.

Step 8: Cut out the triangle from the first circle and cut out the circle from the 2nd card.

Step 9: Using the circle pattern, draw 20 circles, and then using the triangle pattern, inscribe a triangle on each circle.

Step 10: Go back to page one, Step 2 for further directions..

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