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

“Giving Them Wings – Middle School Math Lessons in Aviation ”. “Giving Them Wings – Middle School Math Lessons in Aviation ” Lesson 1 Part 2 Illustrations and Instructions Lesson 2. How to Construct a Paper Compass. Step 1

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

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  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 InstructionsLesson 2

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

  4. How to Construct a Paper Compass 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. 15º 45º

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

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

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

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

  9. 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. N E W S

  10. 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. SW 225

  11. 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. . Minor Arc = an arc <= 90º NE NW 90º E W SW SE S ARCs -are part of the Circumference(EDGE) of the Circle

  12. 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. . NE NW Minor Arc= an arc <= 180º 180º Straight Angle E W Diameter SW SE S

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

  14. 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. 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.

  15. How Runways Are Numbered 09 NE 90º 09 27 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. 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

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

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

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

  19. Slicing a Paper Compass 15º 45º

  20. 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. 15º 45º

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

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

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

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

  28. Practice Time!

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