Sundials measure time as it is. Noon is when the sun is highest in the sky (when it crosses the meridian). Watches measure time as we would like it to be, with noon tomorrow exactly 24 hours, 0 minutes, and 0 seconds away from noon today. But noon on December 26th is actually 24 hours, 0 minutes, and 29 seconds away from noon on Christmas Day. And noon on September 15th is only 23 hours, 59 minutes, and 39 seconds away from noon on the following day.

In the winter the days are short and the sun is low in the sky. Each day after the winter solstice, which occurs on December 21st, the sun's path becomes a little higher in the southern sky. The sun also begins to rise closer to the east and set closer to the west until we reach the day when it rises exactly east and sets exactly west. This day is called the equinox. We have the Spring Equinox on March 21st. There is also a Fall Equinox on September 21st.

The sun is at its lowest path in the sky on the Winter Solstice. After that day the sun follows a higher and higher path through the sky each day until it is in the sky for exactly 12 hours. Every place on earth experiences a 12-hour day twice a year on the Spring and Fall Equinox.

On the Summer Solstice the sun is at its highest path through the sky and the day is the longest. Because the day is so long the sun does not rise exactly in the east, but rises to the north of east and sets to the north of west allowing it to be in the sky for a longer period of time.

After the Summer Solstice the sun follows a lower and lower path through the sky each day until it reaches the point where it is in the sky for exactly 12 hours again. This is the Fall Equinox. Just like the Spring Equinox, the sun will rise exactly east and set exactly west on this day and everyone in the world will experience a 12-hour day.

After the Fall Equinox the sun will continue to follow a lower and lower path through the sky and the days will grow shorter and shorter until it reaches its lowest path and then we are back at the Winter Solstice where we started.

Recommended Resources:

http://webexhibits.org/daylightsaving/index.html

http://www-istp.gsfc.nasa.gov/stargaze/Secliptc.htm

http://www.hps.cam.ac.uk/starry/sundials.html

http://www.math.nus.edu.sg/aslaksen/projects/ll-abstract.pdf

Shadow Plot:

• Obtain materials
• Cut wooden dowel to 12" to 15" long if necessary
• Locate geographic north (directions included)

Horizontal Sundial:

1. Obtain materials
2. Locate your latitude (www.topozone.com)
3. Locate geographic north (see 'Directions')
4. (optional) If you want to make your sundial into a necklace or key chain, drill a hole into the wooden disk to pass the string through.
5. See the directions--if doing this activity with a large group of young children it is often best to prepare the nails in the wooden disks as well (steps 1-2 in 'Directions').

Diptych Sundial:

• Obtain materials
• Print out the Diptych Template (see link)
• Locate your latitude (www.topozone.com)
• Locate geographic north (see 'Directions')

There are infinite possibilities for the number of topics this activity can fit with. One suggestion is to discuss/talk with the students about the way time is measured, the history of clocks and the way that we tell time.

Construction & Testing:

PART I. FINDING GEOGRAPHIC NORTH TO POSITION YOUR SUNDIAL:

The sundial must be orientated with the gnomon pointing north/south and, of course, the dial must be located where a shadow will be cast by the gnomon most of the day. Use one of these methods to find geographic north for your latitude.

METHOD I: (The Purist's Method)

To determine the orientation without reference to other mechanical devices, North can be found by observing Polaris, the North Star, at night. In orientating the sundial, the gnomon is actually being pointed to the North Celestial Pole which is within 1-degree of the North Star. Thus, if you can find Polaris at the end of the Little Dipper, line up your dial by pointing the gnomon towards Polaris. You might want to record the orientation for you dial for future reference. Those in southern latitudes will not be able to use this method.

METHOD II: (The Practical Method)

A magnetic compass may be used to determine the north/south line, but, because of the difference between magnetic north and true north, the dial reading could be off by an hour or more depending on the local difference between magnetic and true north.

METHOD III: (The Lazy Method)

To a first approximation, the orientation can be found by finding the orientation at any time from a clock or watch and orientating the dial so the shadow shows the correct time. However, if left in this position, there could be an error of up to 30 minutes over the year as a result of what is known as the "equation of time". Because of the Earth's orbital motion around the sun, the solar day (approximately 24 hours) is not exactly the same length from day to day varying by up to +/- 16 minutes a day.

PART II. BUILDING THE SUNDIAL:

A. SHADOW PLOT:

CONSTRUCTION: (see the Worksheet for images if you need assistance) A shadow plot can also help you obtain a feel for how the sun's path changes across the sky from day to day. To see this effect it is best to work on the shadow plot for several weeks.

1. It is best to set up your shadow plot in the morning, around 9:00 A.M.
2. Find a flat location, clear from shadows all day long.
3. Push a ball of clay into the ground.
4. Insert the wooden dowel into the ball of clay so that it stands vertically. Use four of the strips of duct tape to cover the clay to keep it from melting in the sun and to help secure the dowel. The dowel will need to stand in this exact location for the length of the activity (from one day to several weeks), so make sure it is perfectly vertical and very secure.
5. Once the dowel is in place, look for its shadow. Lay your piece of paper down on the north side of the dowel with the long edge up against the base of the dowel support. If you did not find geographic north following the directions above, you can determine which direction is north since you know the sun is in the east and the dowel shadow is facing west.
6. Use the remaining four strips of duct tape to secure the corners of the paper. Make sure to keep the middle of the paper clear as this is where you will be making your plot.
7. You are now ready to start making your measurements. The shadow from the dowel should be on the piece of paper. If it is not wait about an hour and return once the shadow is cast onto the paper. When you have the shadow on the paper, make a mark at the very end of the shadow.
8. Return to the plot about once every 30 minutes and make a mark at the end of the shadow each time. It is helpful to use a timer. If you start your plot at 9:00 A.M. you should have enough markings by 3:00 P.M.

USING YOUR SHADOW PLOT:

9. After one day of shadow measurements you are ready to draw the north-south line. On your completed shadow plot draw a smooth curve through all of the marks that you have made, without moving the paper. The more often you have taken your measurements, the easier it will be to draw this curve accurately.
10. Once you have drawn a smooth curve through the markings, find the shortest distance between the dowel base and this curve. Draw a line from the dowel base to this point. This line you have just drawn is called a north-south line. It is the line along which the sun will cast a shadow at local noon. (Your local noon may not be exactly when the clock says noon depending on where you are in your time zone.) This north-south line points exactly north and south. A line drawn perpendicular to this line will point East and West. You will need to know the exact direction of North to use your horizontal sundial.

B. HORIZONTAL SUNDIAL:

CONSTRUCTION: To align our gnomon we must position it such that it makes an angle equal to the latitude angle where it will be used with the horizontal face of the sundial (see the Worksheet for images if need assistance). The easiest way to get the nail into the wooden disk at this angle is to do the following:

1. Hammer the nail straight into the center of the wooden disk making sure not to hammer the nail through the backside of the disk.
2. Hammer the nail from side so that it begins to bend over. Continue to bend the nail over until it is at the same angle as your latitude. If the nail becomes loose, a little wood glue at the base should secure it.
3. To begin construction of the hour line template, draw a horizontal line on the piece of white paper using a pencil.
4. Align the protractor on the horizontal line and make a pencil tick at the 90-degree mark.
5. Draw a vertical line from the tick mark down to the horizontal line. You have just created the noon and six o'clock lines!
6. Use a protractor and make a pencil tick at the following angles FROM THE VERTICAL NOON LINE (on both the left and right hand sides of the vertical line): 10.7, 22.2, 35.3, 50.8, 69.2, and 90. These coincide with 1, 2, 3, 4, 5, and 6 hours from Noon respectively.
7. Use the straight edge of the protractor and connect each tick mark to the intersection of the horizontal and vertical lines.
8. Once you have a hard copy of the image, place the wooden disk on top of the paper such that the center of the disk, where the nail hole is, is directly over the intersection of the horizontal and vertical lines. The horizontal line, marked with a six on each side, should run underneath your disk exactly across the center.
9. Without shifting the wooden disk, rotate it until the head of the nail is pointing up the 12 o'clock line.
10. Holding the wooden disk very still, make 13 pencil marks on the top face of the wood, each mark inline with the appropriate hour line. Because the face of the sundial is so small it is best to only include a few of the hour numbers.
11. (optional) If you desire to make your sundial into a necklace or key chain, thread the hole with some string to the desired length and tie off.

USING YOUR HORIZONTAL SUNDIAL:

12. Take the sundial outside on a sunny day and hold perfectly horizontal. Make sure to point the head of the gnomon (nail) due north. The shadow cast by the gnomon should fall on the appropriate hour line. This type of sundial is not 100% accurate, but it is close and you should be able to tell the time within 15 minutes. (NOTE: Daylight savings time means you will need to adjust your sundial to agree with local "clock" time.)

C. DIPTYCH SUNDIAL

CONSTRUCTION: (see the Worksheet for images if need assistance) The folding sundial you are about to make is called a diptych sundial. Such dials have been made for four or five centuries and were traditionally made of ivory or boxwood. The diptych dial provided here was designed by Dr. Allan Mills, Astronomy Group, Leicester University, UK. The scanned images and text have been prepared by Dr. Randall Brooks, National Museum of Science and Technology, Ottawa, Canada.

1. Obtain the diptych template from your teacher.
2. Paste onto a piece of heavy paper.
3. Obtain the latitude of your location (teacher may provide).
4. On the base of the dial, mark the latitude angle on both scales, drawing lines through each of the X symbols at the top. Cut the flaps off along these lines.
5. Note the dashed lines; two of these are marked "score on back, fold forward" and two marked "score on front, fold down". After scoring, make the necessary folds in the direction indicated.
6. Along the line with "Noon" written above, fold the upper section forward so that the two panels make a right angle.
7. To finish the dial, attach a string (preferably elastic) through holes at the top and bottom at the points where all the hour lines converge so that the string is taught when the dial is folded. This string is the gnomon and casts a shadow to indicate the time.