by John Hayes - Te Puke Primary School

The Turtle Rope Swing Game helps students to learn about angles and how to work out their sizes. It was inspired by the Mathematical Merry-Go-Round Game, decribed by Ron Tzur and Matthew Clark in “Riding the Mathematical Merry-Go-Round”, Teaching Children Mathematics, Volume 12, number 2 (April 2006): 388 - 393. The game was developed by John Hayes, principal at Te Puke Primary School in Te Puke, New Zealand.

This project illustrates

- angles and degrees
- estimation
- interaction

- SwingGame.lgo
TO MAIN CT DRAW MAKE "SCORE 0 PR "|This is the Turtle Rope Swing Game. It was created by John Hayes in 2006.| PR "|The lowest total score wins.| PR "|By playing the game you will learn about angles and how to work out their sizes.| PR "|If you have not played this game before or you want to see the demo, press D.| PR "|If you want to skip the demo and start straight away, press S.| PR "|If you want to find out about the game that inspired this one, press F.| MAKE "WHICH RC IF :WHICH = "D DEMO IF :WHICH = "S ANGLE 1 IF :WHICH = "F CT FIND.OUT END TO FIND.OUT PR "|This game was inspired by the Mathematical Merry-Go-Round Game,| PR "|decribed by Ron Tzur and Matthew Clark in "Riding the Mathematical Merry-Go-Round", | PR "|Teaching Children Mathematics, Volume 12, number 2 (April 2006): 388 - 393.| PR "|Press S to start the Turtle Rope Swing Game, or press D to see the demo.| MAKE "WHICH RC IF :WHICH = "D CT DEMO IF :WHICH = "S CT ANGLE 1 END TO ANGLE :COUNTER IF :COUNTER = 11 CT PR (SE "|You have had 10 turns. Your total score is| WORD :SCORE ". "|Press the spacebar to quit.|) IGNORE RC CT DRAW STOP CT DRAW SETPC "BLUE HT SETW 6 DOT [0 0] SETW 1 SETPC "RED FD 140 RT 90 MAKE "DEGREES 4 + RANDOM 352 MAKE "RADIUS.A 75 + RANDOM 65 MAKE "RADIUS.B 10 + RANDOM 50 MAKE "CIRCUM.A 2 * PI * :RADIUS.A * :DEGREES / 360 MAKE "CIRCUM.B 2 * PI * :RADIUS.B * :DEGREES / 360 PU ARCR 140 :DEGREES PD SETH TOWARDS [0 0] FD 140 SETH 0 ASK [1 2] [SETPC "BLACK ST] ASK 1 [PU FD :RADIUS.A RT 90 FD 20 PD TT "A PU BK 20 PD] ASK 2 [PU FD :RADIUS.B RT 90 FD 20 PD TT "B PU BK 20 PD] NEXT END TO DEMO CT DRAW SETPC "BLUE HT SETW 6 DOT [0 0] PU FD 6 PD CT PR "|In the centre of the screen is a blue dot.| PR "|Imagine that a person is standing on the blue dot with a long invisible rope.| PR "|The person swings around any turtle holding onto the other end of the rope.| PR "|As the turtle is swung around it draws the path it travels through the air.| PR "|Press the spacebar to see a turtle being swung around.| IGNORE RC CT SETPC "BLACK HT SETW 1 PU FD 100 RT 90 PD ST WAIT 500 SETSPEED 0.8 ARCR 100 270 WAIT 500 PR "|Press the spacebar to continue.| IGNORE RC CT PR "|See how good you can become at guessing how much a turtle is swung around.| PR "|To help you learn about angles, the turtle will be swung between two sides of an angle.| PR "|Press the spacebar when you are ready to start.| IGNORE RC SETSPEED 1 ANGLE 1 END TO NEXT PR "|Here is an angle. The person with the rope is on the blue dot at the corner point.| PR "|Turtle A will be swung around on the invisible rope to the other side of the angle.| PR "|Press the spacebar to continue.| IGNORE RC CT PR "|Watch it be swung around.| WAIT 1000 MAKE "TOSS RANDOM 2 IF :TOSS = 1 THEN ASK 1 [SETSPEED 0.5 SETH 90 ARCR :RADIUS.A :DEGREES WAIT 1000 HT] IF :TOSS = 2 THEN ASK 1 [SETSPEED 0.5 SETH 270 ARCL :RADIUS.A (360 - :DEGREES) WAIT 1000 HT] WAIT 1000 HT CT IF :TOSS = 2 THEN MAKE "CIRCUM.A 2 * PI * :RADIUS.A * (360 - :DEGREES) / 360 MAKE "CIRCUM.B 2 * PI * :RADIUS.B * (360 - :DEGREES) / 360 IF :TOSS = 2 THEN MAKE "DEGREES 360 - :DEGREES PR (SE "|The path Turtle A travelled through the air was| ROUND :CIRCUM.A "|turtle steps long.|) PR "|It was swung around the corner point a certain number of little turns called degrees.| PR (SE "|When turtle B is given the same swing it will travel through the air on a path| ROUND :CIRCUM.B "|turtle steps long.|) PR "|What is the number of degrees that turtle B needs to be turned on its ride through the air?| PR "|(The difference between the number you give turtle B and the exact number it needs will be your score.)| PR "|Enter your number.| MAKE "RESPONSE READ IF :RESPONSE > 360 CT PR "|Your number should not be more than 360. Try again| MAKE "RESPONSE READ MAKE "DIFF ABS :DEGREES - :RESPONSE MAKE "SCORE :SCORE + :DIFF IF :TOSS = 1 ASK 2 [SETSPEED 0.5 SETH 90 ARCR :RADIUS.B :RESPONSE WAIT 1000 HT] IF :TOSS = 2 ASK 2 [SETSPEED 0.5 SETH 270 ARCL :RADIUS.B :RESPONSE WAIT 1000 HT] CT PR (SE "|You gave turtle B| :RESPONSE "|as the number of degrees for its ride through the air.|) PR (SE "|The number of degrees for turtle A's ride was| WORD :DEGREES ". :DEGREES "|is the number turtle B needed.|) PR (SE "|The difference between| :RESPONSE "|and| :DEGREES "|is| WORD :DIFF ", "|so your score is now| WORD :SCORE ".) PR "|Press the spacebar to continue.| IGNORE RC ANGLE :COUNTER + 1 END TO ARCL :RADIUS :DEGREES LOCAL "STEP LOCAL "REM MAKE "STEP 2 * :RADIUS * 3.14 / 36 MAKE "REM REMAINDER :DEGREES 10 REPEAT :DEGREES / 10 [LT 5 FD :STEP LT 5] IF :REM > 0 [FD :STEP * :REM / 10 LT :REM] END TO ARCR :RADIUS :DEGREES LOCAL "STEP LOCAL "REM MAKE "STEP 2 * :RADIUS * 3.14 / 36 MAKE "REM REMAINDER :DEGREES 10 REPEAT :DEGREES / 10 [RT 5 FD :STEP RT 5] IF :REM > 0 [FD :STEP * :REM / 10 RT :REM] END MAKE "SCORE "15 MAKE "DEGREES "212 MAKE "TOSS "1 MAKE "CIRCUM.A "284.91 MAKE "CIRCUM.B "214.61 MAKE "WHICH "S MAKE "ARC "45 MAKE "ARC.2 "330 MAKE "DIFF "7 MAKE "RADIUS.A "77 MAKE "RADIUS.B "58 MAKE "RAY.1 "148 MAKE "RAY.2 "84 MAKE "FACING "149.98 MAKE "RESPONSE "205 MAKE "POS.B [0 79] MAIN

- Procedure:
- MAIN
- Description:
- Illustrates angles and degrees
- Level:
- Intermediate
- Compatible:
- Logo 3, Logo 4
- Tags:
- Angles, Degrees