1. “Giving Them Wings – Middle School Math Lessons in Aviation”

2. “Giving Them Wings – Middle School Math Lessons in Aviation” Lesson 1 Part 2 Illustrations and Instructions Lesson 2

3. How to Construct a Paper Compass 45º 15º Step 1 Start with a paper plate and fold the plate in half and then in fourths.

4. How to Construct a Paper Compass 45º 15º Step 1 Start with a paper plate and fold the plate in half and then in fourths. Step 2 Locate the center (also known as the vertex) of the circle (where all of the folds intersect) and place a dot there.

5. How to Construct a Paper Compass 45º 15º Step 3 From the center of the circle to the edge is the radius. Mark and label the radius of the circle.. RADIUS

6. How to Construct a Paper Compass 45º 15º Step 5 Label the diameter of the circle. Two radii equal the diameter of the circle. RADIUS

7. How to Construct a Paper Compass 45º 15º Step 5 With a marker outline the edge of the circle and label it the circumference.. RADIUS

8. How to Construct a Paper Compass 45º 15º Step 7 The entire circle is composed of 360 degrees. Mark the edge of the circle at each 90 degree increment with a RADIUS 90

9. N S W E Step 7 Label the Inter-cardinal points. These points are halfway between the cardinal points. Label them northwest, northeast, southwest and southeast on the circle.

10. SW 225 Step 8 Label the Inter-cardinal points. These points are halfway between the cardinal points. Label them northwest(NW) northeast(NE) southwest(SW) southeast(SE) on edge of the circle.

11. S W E NE SE NW SW Step 9 Central Angles are angles formed by any two radii in a circle. Label the arc created by 90 degrees (North to East) as a minor arc= an arc less than 180 degrees.. 90º Minor Arc = an arc <= 90º ARCs -are part of the Circumference(EDGE) of the Circle

12. S W E NE SE NW SW Step 9 Central Angles are angles formed by any two radii in a circle. Label the arc created by 90 degrees (North to East) as a minor arc= an arc less than 180 degrees.. 180º Straight Angle Minor Arc= an arc <= 180º

13. S W E NE SE NW SW Step 10 A Semicircle is an arc whose endpoints are the endpoints of a diameter and is named by three points.. 180º Semicircle = 180º ARC -are part of the Circumference(EDGE) of the Circle

14.  A runway's compass direction is indicated by a large number painted at the end of each runway. A runway's number is not written in degrees, but is given a shorthand format. How Runways Are Numbered A special short hand is used so that you always have to add one zero to the number that is painted on the runway. For example if you see 09 the compass landing is actually 90 degrees.

15.  Runways are numbered and referred to after their compass headings.  Here you have a Landing at 45º which is abbreviated as 09.  Notice the final position is 270º which is abbreviated as 27 How Runways Are Numbered 09 27 NE 90º A runway's compass direction is indicated by a large number painted at the end of each runway. A runway's number is not written in degrees, but is given a shorthand format.

16. N 0º S W E NE SE NW SW N E 45º Lesson 2 Practice with the Compass - “Pilot Communication and Landing on the Runway” SW Rotate your paper so that North is aligned with your Paper Compass

17. N 0º S W E NE SE NW SW N E 45º Lesson 2 Practice with the Compass - “Pilot Communication and Landing on the Runway” SW Use your Paper Plate Compass to Help You with the Practice Problems Rotate your paper so that North is aligned with your Paper Compass

18. Lesson 4 – Slice the Paper Compass to study Area Formula of a Circle

19. Slicing a Paper Compass 45º 15º

20. 45º 15º Step 1 Use your protractor to mark the edges of your plate in 22.5 degree increments or you may draw lines in the middle of the 45 degree increments from the edge of the plate thru the center of the plate to the opposite edge.

21. Slicing the Compass to find the Area Formula of a Circle 45º 15º Step 2: Cut the compass into 16 pieces.

22. Step 2 Cut the pieces

23. Step 3: Tape together the pieces into a parallelogram.

24. Tape together the pieces into a parallelogram. Step 3: Trace around the parallelogram onto another piece of paper

25. r Step 4 Trace around the Parallelogram onto another piece of paper.

26. r Step 4 Trace around the Parallelogram onto another piece of paper.

27. r Step 5 Find the Area of the Parallelogram.

28. Practice Time!