||What two pieces
of information are needed to define a course from one
airport to another?
Introduction (Pg. 347).
Play Polar Tic-Tac-Toe (see Pg. 348).
See an actual RADAR screen and how a RADAR screen is set up in ATC for a person to use.
JR: Explain two different (common) ways direction can be displayed in polar graphing.
|Pg. 353 #1
(graph and label).
Note: test correction sessions tomorrow before and after school.
her pet bird decided to race to her friend's house.
Trillian rode her bike at five miles per hour 0.3 miles to
the east and 0.1 miles to the south. Her bird flew
straight there at four miles per hour. How far and
in what direction did the bird travel? Who arrived
Coordinates activity (pp. 349-352). Refining the
meaning of polar graphing and converting between polar and
JR: Explain in simple language two ways how angles measured in "azimuth" (measured with a navigation compass) differ from those measured in polar form (measured with a protractor).
|Graph the sun transit data (for
31 October 2014) on polar graph
Note: test correction sessions TODAY before and after school.
|The latitude and longitude of Boston are 42 degrees 19' and 71 degrees 5' respectively. Boston is in the Eastern time zone, which is three hours different from Seattle. List the similarities and differences between the graphs of the Sun transit data if done for Boston and Seattle for the same day of the year.||Graph Boston's
sun transit data (for 31 October 2014) on the polar
graph paper you used for Seattle's. Make Boston's
marks in a different pigment!
Explain the similarities and differences between the plots.
JR: Explain in simple language why the sun transit plots for Seattle and Boston are different. Be specific!
|Pg. 358 #16. Graph on polar graph paper.|
||Pg. 357 #14. Graph on Graph on a new sheet of polar graph paper.||Compare the ET graph to a recent sounding. List the
similarities and differences between the hodographs in
your homework notebook.
JR: List the domain and range of sin–1, cos–1, and tan–1.
|Pgs. 355-356 #9, 13.
||Create three arbitrary non-collinear vectors: a, b, and c. Sketch how to perform the vector sum a – (b + c). Explain the process in simple language.||The Algebra of Vectors
activity (Pgs 384-387).
JR: Explain in simple language what happens to a vector if you multiply it by a number (such as “2”). Include a reason the number is referred to as a “scalar.”
|Pg. 388 #2, 4.|
What are the local forecast winds aloft at 9000'?
|Of Course activity.
Click HERE for an answer to Scenario #2 (wait until you have completed the problem before checking!!!).
JR: How far off course will the airplane be from its destination in today’s Scenario #1 if the heading is off by 1 degree?
heading, ground speed, and ETE for a flight plan from
Boeing Field Airport (KBFI) to Astoria (KAST) assuming an
airspeed of 120 KTS and current
winds. Use vectors for airspeed and wind speed
to confirm the ground speed and course (remember to
convert the azimuths to polar then to rectangular
coordinates, then convert back to polar then azimuths).
Get your own electronic copy of the North and South Seattle Sectional Charts (note: the originals are here!).
||Why can a vector be described in BOTH polar and rectangular coordinates?||Compute heading, ground speed,
and ETE for a flight plan from Boeing Field Airport (KBFI)
to Walla Walla (KALW). Assume an airspeed of 128 KTS
and the same winds you used for yesterday's homework.
JR: Explain the difference between True and Magnetic North then explain how to determine the correction for a specific location. Give detail!
|Compute heading, ground speed, and ETE for a flight plan between airports of your choosing, as long as the enroute distance is at least 150 NM. Assume an airspeed of 135 KTS and current winds. Include the day and time you obtained the winds.|
vector (3, 200 degrees) to rectangular coordinates using
trig. Convert the result to polar coordinates using
trig. What happened and why?
heading, ground speed, and ETE for a flight from
Bellingham International Airport (KBLI) to Pullman/Moscow
Regional Airport (KPUW). Use an airspeed of 118 KTS
and use the current winds aloft. Record the latitude
and longitude of each airport.
JR: Explain in simple language the advantage of adding vectors algebraically even if the answer must be in polar form.
|Determine the number of minutes of latitude KPUW is East of KBLI. Determine the number of minutes of longitude KPUW is South of KBLI. Use the number of minutes of latitude and longitude as legs of a right triangle and compute the hypotenuse. Convert this measure into nautical miles (this represents the distance from Bellingham Airport to Pullman Airport). Give two reasons why this distance is different from the one you measured on the chart today in class.|
||Explain the advantage of performing all vector operations in rectangular coordinates. What disadvantages are there?||Quiz 6.1
(flight plan). You may use YOUR calculator and a 3 x
5 note card* along with any measurement devices you
*Note cards may not be mechanically reproduced (no photo copies, word processing, etc.).
JR: Explain in simple language how to convert angles measured in "azimuth" (measured with a navigation compass) to those measured in polar form (measured with a protractor)
|Compute heading, ground speed, and ETE for a flight plan from Boeing Field Airport (KBFI) to Quillayute (KUIL). Assume an airspeed of 138 KTS and the current winds aloft. Include the day and time you obtained the winds.|
|A projectile is launched at a 40 degree angle. Explain in simple language how the horizontal component of the projectile's velocity changes over the projectile's flight if its speed is low enough for air resistance to be negligible.||Parametric
Graphing rectangular coordinates when X and Y are derived from functions (parametric equations--see Example 10, p. 398).
It’s About Time activity.
JR: Summarize with simple parametric equations an object launched at 35 degrees with an initial velocity of 42 feet per second. Provide the "graphing Window" that will show the path of the object.
||Explain how the game "Battleship" would work if played in 3-d.||3-d graphing.
Play Sky Wars.
JR: Explain a strategy for success in playing Sky Wars.
|Pgs. 420-421 #12, 13.|
||Draw a three-dimensional coordinate system on your paper.||Vector
Equations in Three Dimensions (Activity 6.6, Pgs.
graph paper is needed. Use the following links
to download either of the full-page isometric dot papers:
JR: Describe an aerospace application of 3-d vectors.
|Draw the vector <3, 4, 5> making sure you show the vector <3, 4> in the x-y plane. Calculate the length of each vector (hint: use the Pythagorean Theorem twice).|
||Write parametric equations for a golf ball struck at 101 ft/s with a club angle of 22 degrees. Determine how far, horizontally, will the ball travel.||Activity 6.7
Pgs. 410-412 (up to Vectors
How could you tell by a pair of 3-d vectors' "rectangular coordinates" they are perpendicular?
JR: Explain the extent to which adding a third dimension contributes to the difficulty of working with vectors. Connect this to the difference between driving a car and flying an airplane.
|Pg. 421 #14.
Check out THIS Website that offers help with spherical coordinates (thanks to Lauren Crom for the link).
|11/19||Feflog's golf ball is located
145 yards from the center of the green on a level
fairway. There is a 51' tree 30 yards from
the ball in the direction of the green. She selects
a club with a 36 degree loft and will strike the ball at
123 feet per second. analyze the outcome of the
||Obtain a copy of the Parametric
POGIL activity. Read through the first page.
Parametric POGIL activity.
JR: What is the purpose of today's activity? List some "new understandings" you gained today.
|The World's newest golfing
sensation is Doow Regit, who is from Elbonia. While
playing The British Open, she hits the ball so far off the
first tee it lands in a "fairway bunker" (a deep sand
trap). Although only 45 yards from the center of the
green, the ball is only two feet away from the "lip" of
the bunker that extends upward two feet. Further,
the green is four feet above the fairway and the sand in
the bunker is two feet below the fairway. She
selects her 56 degrees sand wedge and will strike the ball
at 85 feet per second. Note: 1 yard = 3 feet.
1. Sketch the situation, including all relevant facts.
2. Write parametric equations for this situation. "Identify the variables!"
3. Determine if Doow's shot will make it to the green. Explain how you know!
||Why is there a -16T2
in the Y equation for golf ball flight?
||Quiz 6.3 (writing parametric
equations to address a scenario--it will be a golf
problem!). You may use YOUR calculator and a 3 x 5
note card* along with any measurement devices you
brought. Materials will NOT be loaned during class.
*Note cards may not be mechanically reproduced (no photo copies, word processing, etc.).
JR: Create an isometric diagram depicting the sum of vectors <1, 2, 3> and <2, 4, 1>. Give the value of the vector sum and show it (in a contrasting color, if possible) on your diagram.
|Pg. 418 #4.|
||Solve for WCA, TH, MH, GS, ad
ETE for a flight from Everett (KPAE) to Ellensburg
(KELN). Assume an airspeed of 110 KTS.
Solve for WCA, TH, MH, GS, and ETE for a flight from Avey State at Laurier (69S) to Copalis State (S16). Assume an airspeed of 110 KTS.
JR: Explain how do convert TH to MH using information from an aeronautical chart.
|Prepare for tomorrow's test.
||Get ready for the test! Move to a seat where you have ample room, obtain all the materials you need before class starts, seat at most two at the square "cafe tables" and place the paper "blinders" between each pair of people.||Test 6.2. You may use
YOUR calculator and a 3 x 5 note card* (writing on both
sides is permitted). Measurement devices (e.g. ruler
and protractor) are also allowed. No materials will
be loaned during class! Expect a question on
JR: What were the hardest parts of Chapter 6 for you? What were the easiest parts?
|Take a break but remain