Whatever cro n cro n = create n ordered turtles value is, as in cro 32 or cro 8 or cro 36 or cro 72, the size of each slice is just 360 divided by n. 360 360 360 ----- = 10 ----- = 5 ----- = 30 36 72 12
i. What is known? Write down what is given. Write down and determine what facts are directly given or that can be derived from what is stated or seen in the problem diagram. Note: It can be VERY IMPORTANT for you to draw a diagram or picture of the situation. It is NOT always given. Or you might add to the picture that is given, like I do below here for you (Photoshop). This is your ammunition for trying to hit the target. Your bow and arrows. Or this is your fuel for taking you from the starting point to the destination, from the given to the goal. ii. What is unknown? What is the goal? What is the result that is desired? What is the question asking for? That is your target! That is your destination! iii. How can you get from i. (given) to ii. (goal). You now have a clear idea of where you are at, and of where you want to go. What formulas or past similar problem and trips can help you get from i. to ii.? You might need the SINE or COSINE or TANGENT. Or for Monte Carlo you might need the b a = --- d formula. c rise Or you might need the slope = -------- run formula where rise = (y2 - y1) and run = (x2 - x1) etc. etc. etc. Mobilize knowledge about circles, slopes, right triangles, points, distances between points, trigonometry that is relevant to the current problem and the i. given facts that you have WRITTEN DOWN and isolated and the ii. relevant GOAL that you have also WRITTEN DOWN as your clear target.
i. WHAT is given? Dr. Peter Venkman WHAT is the goal? ii. HOW to get from Dr. Raymond Stantz i. given start to ii. the desired result or goal. iii. Solve the problem using whatever tools (Netlogo, Vensim, calculator) and algebra you need to do. Dr. Egon Spengler
cosine(30) = adj/hyp = adj/10 Where does the 10 come from? The turtles each went forward 10 units! (fd 10) cosine(30) using the calculator calc.exe show cosine of 30 degrees is 0.866. 0.866 = adj / 10 so multiply both sides of the equation by 10, we have: (10)(0.866) = (10) (adj / 10) and 8.66 = adj, so the xcor answer is 8.66. Remember to SHOW your WORK!!!! I am showing my work here, not just the final answer.
Sine(30) = OPP/HYP = OPP/10 Sine(30) = 0.5 = OPPOSITE / 10 and 10(0.5) = OPPOSITE = 5.0. So the ycor is 5.0. The (xcor, ycor) for the indicated turtle with who number 2 is (8.66, 5.0)
Yes. Knowing the adjacent leg has length 8.66 units and knowing the angle is 30 degrees and having as our goal what is the length of the OPPosite Leg gives the following setup:
GIVEN GOAL INPUT OUTPUT i. ii. Known or given: Goal, unknown to find, desired result: -------------- ------------------------------------- Angle 30 degrees Length of OPPosite side, Adjacent side length opposite leg of the 8.66 units triangle, side opposite the 30 degree angle. How do you get from i. to ii. from given to goal? TOA = Tangent Opposite Adjacent Opposite opp O Tangent = --------------- = ----- = --- Remember by thinking of Adjacent adj A stubbing your TOA... So the TOA formula is suggested when you focus on the fact that you know the 30 degrees and can get the T Tangent, thus with a calculator know the Tangent of 30 degrees, and you know the length of the adjacent leg to the 30 degree angle, which is 8.66. opposite Tan(30) = 0.57735 = ------------ so 8.66 * 0.57735 = opposite length 8.66 and 4.99985 - opposite length thus 5.0 = ycor