1 / 52

Will meteorites hit

: CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue, Room 202 Fayetteville, Arkansas 72701 (479) 575-3875 (479) 575-5680 (FAX) e-mail: cej001@uark.edu http://www.uark.edu/~k12 info/.

uriah
Download Presentation

Will meteorites hit

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. : CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue, Room 202 Fayetteville, Arkansas 72701 (479) 575-3875 (479) 575-5680 (FAX) e-mail: cej001@uark.edu http://www.uark.edu/~k12 info/ Will meteorites hit Your City? Presented by:

  2. Meteorite Showers….. Meteoroids that experience disruption in the atmosphere may fall as meteorite showers, which can range from only a few up to thousands of separate individuals. The area over which a meteorite shower falls is known as its strewn field.

  3. Meteorite showers may contain large numbers of individual meteorites. • more than 100,000 fell at Pułtusk, Pol. in 1868 • possibly 14,000 fell at Holbrook, Ariz., U.S. in 1912 • thousands fell at Chihuahua, Mex., in 1969 • 2,000–3,000 fell at L’Aigle, France, in 1803 • 200–300 fell at Stannern, Moravia (now Stonařov, Cz.Rep.), in 1808. Meteorite Hunter finds alien roc...

  4. What do the following Questions and the meteorite question all have in common? “The forecast was 30% chance of rain.” YOUR city lies on the edge of the predictedstrewn field for the meteorite shower. What is the probability that meteorites will fall on YOUR city? “Certain diets may result in higher likelihood of heart disease.” “Win the lottery? It’s one in a million.” “You’re more likely to get struck by lightning, than die in a plane crash.”

  5. Will meteorites hit Red hot meteorites Simulation! Your City?

  6. Simulation A technique used for answering real-world questions or making decisions in complex situations where an element of chance is involved. Van deWalle, Elementary and Middle School Mathematics Teaching Developmentally, Pearson, 5th ed., p. 411.

  7. Simulations A series of steps • Identify key components and assumptions of the problem. • Select a random device for the key components. • Define a trial. • Conduct a large number of trials, and record the information. • Use the data to draw conclusions. Van de Walle p 412

  8. Red Hot Meteorites Simulation Directions: Each group should have a small cup of red hots and a pizza box with a quarter circle drawn in it. You will drop the red hots from above the box. Count and record how many fall inside the curve, outside the curve, and the total in the trial. Continue until time is called. Record the results on chart paper and then find the total of all your trials and report what fractional part of the red hots landed inside the curved area.

  9. Predict and Drop Download the REDHOT program Turn calculators on. Clear. Connect linking cords. Press 2nd X which is LINK enter RECEIVER: Arrow to RECEIVE, enter SENDER: 3(Prgm)…Select REDHOTS…arrow to TRANSMIT…enter

  10. Predict and Drop Turn the calculator on. Clear. Press Clear all PLOTs at the top of the screen Clear any equations, insert the following equation: (Why this equation?) This is a circle with radius of 1 unit. Note: Equation of a circle (x-h)2 + (y-k)2 = r2

  11. Predict & Drop What quadrant do we need? quadrant 1 We must set the WINDOW! X min = 0 X max = 1 X scl = 1 Y min = 0 Y max = 1 Y scl = 1 Press GRAPH…Is this picture correct? Press ZOOM, 5(Z Square) Is this picture correct? Press PRGM, select REDHOT, enter Type in Number of redhots, enter.

  12. Predict & Drop How do you determine probability? Probability(event)=successful trials divided by total possible In this case the Theoretical probability of the predicted strewn field = area under the curve divided by the total possible area P(meteorites in strewn field) = area of ¼ of a circle ÷ total area of box 1/4 r² ÷ r2or approximately 0.785 Probability for hitting YOUR city = 1- 0.785

  13. What Did We Learn? Sampling is an estimated procedure, and it must be repeated several times in order to find the best estimate. The larger the sampling size or number of trials, the closer it will approach the Theoretical Probabilities.

  14. AGREE OR DISAGREE - Technology • Using hands-on devices to explore probability takes a lot of time to produce a large number of trials. • Students are more likely to believe the random outcomes of electronic devices such as calculators and computer software over those they get from hands-on random devices such as spinners, dice, or cubes drawn from a bag. Where does it fit in the Data Analysis and Probability Standards? Van De Walle p. 412 “Technology Note”

  15. Countdown to LiftOff Mathematical Expressions Write the mathematical expression. Solve. Put the answers in numerical order from greatest to least and you’ll be ready for LIFT OFF! Be careful and use the proper Order of Operation when solving. Use the following blanks to record the answers from the problem cards. Then order them from greatest to least.

  16. Countdown to LiftOff Write the mathematical expression. Solve. Put the answers in numerical order from greatest to least and you’ll be ready for LIFT OFF! Be careful and use the proper Order of Operation when solving. Two more than four times two

  17. Countdown to LiftOff Write the mathematical expression. Solve. Put the answers in numerical order from greatest to least and you’ll be ready for LIFT OFF! Be careful and use the proper Order of Operation when solving. Three plus six times zero plus six

  18. Countdown to LiftOff Write the mathematical expression. Solve. Put the answers in numerical order from greatest to least and you’ll be ready for LIFT OFF! Be careful and use the proper Order of Operation when solving. The product of 12 and two divided by 3

  19. Countdown to LiftOff Write the mathematical expression. Solve. Put the answers in numerical order from greatest to least and you’ll be ready for LIFT OFF! Be careful and use the proper Order of Operation when solving. Four less than the quotient of twenty-two and two

  20. Countdown to LiftOff Write the mathematical expression. Solve. Put the answers in numerical order from greatest to least and you’ll be ready for LIFT OFF! Be careful and use the proper Order of Operation when solving. Ten less than four squared

  21. Countdown to LiftOff Write the mathematical expression. Solve. Put the answers in numerical order from greatest to least and you’ll be ready for LIFT OFF! Be careful and use the proper Order of Operation when solving. The square of 25 divided by the cube of 5

  22. Countdown to LiftOff Write the mathematical expression. Solve. Put the answers in numerical order from greatest to least and you’ll be ready for LIFT OFF! Be careful and use the proper Order of Operation when solving. Twelve less two multiplied by four

  23. Countdown to LiftOff Write the mathematical expression. Solve. Put the answers in numerical order from greatest to least and you’ll be ready for LIFT OFF! Be careful and use the proper Order of Operation when solving. Twelve less than three times five

  24. Countdown to LiftOff Write the mathematical expression. Solve. Put the answers in numerical order from greatest to least and you’ll be ready for LIFT OFF! Be careful and use the proper Order of Operation when solving. The difference of any two consecutive ODD numbers

  25. Countdown to LiftOff Write the mathematical expression. Solve. Put the answers in numerical order from greatest to least and you’ll be ready for LIFT OFF! Be careful and use the proper Order of Operation when solving. Three times seven plus twelve all raised to the zero power

  26. Countdown to LiftOff Write the mathematical expression. Solve. Put the answers in numerical order from greatest to least and you’ll be ready for LIFT OFF! Be careful and use the proper Order of Operation when solving. Any number subtracted from itself

  27. Countdown to LiftOff Solve for the Variables Read the problem cards and solve for the variables. Put the answers in numerical order from greatest to least and you’ll be ready for LIFT OFF! A = A = C = E = E = L = P = R = S = T = V =

  28. Countdown to LiftOff Solve for the variables. Put the answers in numerical order from greatest to least and you’ll be ready for LIFT OFF! See if you can unscramble the variables to spell a SPACE WORD. 5 + S = 9 + 6

  29. Countdown to LiftOff Solve for the variables. Put the answers in numerical order from greatest to least and you’ll be ready for LIFT OFF! See if you can unscramble the variables to spell a SPACE WORD. 3 + 5 = P - 1

  30. Countdown to LiftOff Solve for the variables. Put the answers in numerical order from greatest to least and you’ll be ready for LIFT OFF! See if you can unscramble the variables to spell a SPACE WORD. 7 x 3 = 29 - A

  31. Countdown to LiftOff Solve for the variables. Put the answers in numerical order from greatest to least and you’ll be ready for LIFT OFF! See if you can unscramble the variables to spell a SPACE WORD. 14 - 5 = C + 2

  32. Countdown to LiftOff Solve for the variables. Put the answers in numerical order from greatest to least and you’ll be ready for LIFT OFF! See if you can unscramble the variables to spell a SPACE WORD. E 2 = E - 3

  33. Countdown to LiftOff Solve for the variables. Put the answers in numerical order from greatest to least and you’ll be ready for LIFT OFF! See if you can unscramble the variables to spell a SPACE WORD. 6 x 1 = T + 1

  34. Countdown to LiftOff Solve for the variables. Put the answers in numerical order from greatest to least and you’ll be ready for LIFT OFF! See if you can unscramble the variables to spell a SPACE WORD. 15 - R = 22 2

  35. Countdown to LiftOff Solve for the variables. Put the answers in numerical order from greatest to least and you’ll be ready for LIFT OFF! See if you can unscramble the variables to spell a SPACE WORD. 17 + 4 = 7 x A

  36. Countdown to LiftOff Solve for the variables. Put the answers in numerical order from greatest to least and you’ll be ready for LIFT OFF! See if you can unscramble the variables to spell a SPACE WORD. V - 2 = 18 x 0

  37. Countdown to LiftOff Solve for the variables. Put the answers in numerical order from greatest to least and you’ll be ready for LIFT OFF! See if you can unscramble the variables to spell a SPACE WORD. 3 - E = E + E

  38. Countdown to LiftOff Solve for the variables. Put the answers in numerical order from greatest to least and you’ll be ready for LIFT OFF! See if you can unscramble the variables to spell a SPACE WORD. If: I = 3 F = 1 T = 10 O = 12 then L = __________ L + I + F + T = O + F + F

  39. Countdown to LiftOff Now that you have Solved for the Variables... See if you can unscramble the variables to spell a SPACE WORD.

  40. Earth Mercury Sizing Up our Solar System Pluto ? Venus Ratios &Proportions Jupiter Uranus Saturn Neptune Mars

  41. Compared to the large sun model, select the circles that are the closest scale model for each of the planets. Use sticky notes to label the planets.

  42. Do not go on to the next cards until you have made your own selections for each planet.

  43. Sun The scale of the sun to Jupiter is approximately 10 to 1. That means the sun is about 10 times larger than Jupiter. Measure the sun and the circle you chose for Jupiter and see if you are correct, or find the correct one. Jupiter

  44. Sun Jupiter The scale of the sun to Earth is about 109 to 1. That means the sun is 109 times larger than Earth. Also, the scale of Jupiter to Earth is approximately 11.2 to 1. That means Jupiter is about 11.2 times larger than Earth. Measure the circles you selected for these planets and see if you are correct, or find the correct ones. Earth

  45. Earth The diameter of Earth is only about 400 miles larger than the diameter of Venus. So at this small scale they are almost the same size. Look at the circles you chose for these planets and see if you are correct, or find the correct ones. Venus

  46. Venus The scale of Venus to Mercury is approximately to 2.5 to 1. Measure the circles you selected for these planets and see if you are correct, or find the correct ones. Mercury

  47. Mars The scale of Mars to Mercury is approximately to 1.4 to 1. Measure the circles you selected for these planets and see if you are correct, or find the correct ones. Mercury

  48. Neptune The scale of Neptune to Mars is approximately to 6.7 to 1. Measure the circles you selected for these planets and see if you are correct, or find the correct ones. Mars

  49. Uranus The diameter of Uranus is only about 1,000 miles larger than the diameter of Neptune. So at this small scale they are almost the same size. Look at the circles you chose for these planets and see if you are correct, or find the correct ones. Neptune

  50. Saturn Saturn is approximately 1.9 times larger than Uranus. Measure the circles you selected for these planets and see if you are correct, or find the correct ones. Uranus

More Related