Teachers Guide
Page 9
...to select 9 players from highest to 3 decimal places for solutions. Make a list of times at bat) rounded to lowest. Students calculate batting averages using the TI-30X ÙS and then round their answers to be on your players in order, from the list to 3 decimal places. See the table... on the TI-30X ÙS to change numbers to 4 decimal places using pencil and paper. Enter the first...
...to select 9 players from highest to 3 decimal places for solutions. Make a list of times at bat) rounded to lowest. Students calculate batting averages using the TI-30X ÙS and then round their answers to be on your players in order, from the list to 3 decimal places. See the table... on the TI-30X ÙS to change numbers to 4 decimal places using pencil and paper. Enter the first...
Teachers Guide
Page 11
Name The FIX Key Date Problems 1. Round the following numbers to 3 decimal places. a. 2.35647 b. 15.3633 c. 0.02698 2. The Better Batter - a. 4.39865 b. 72.965912 c. 0.29516 d. 0.00395 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 4 Using the TI-30X ÖS, round the following numbers to 4 decimal places.
Name The FIX Key Date Problems 1. Round the following numbers to 3 decimal places. a. 2.35647 b. 15.3633 c. 0.02698 2. The Better Batter - a. 4.39865 b. 72.965912 c. 0.29516 d. 0.00395 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 4 Using the TI-30X ÖS, round the following numbers to 4 decimal places.
Teachers Guide
Page 12
... 3 decimal places) 2. Player C. Make a list of Times at bat) rounded to be on your players in order, from the list to 3 decimal places for Teachers 5 Procedure 1. Player 1 Player 6 Player 2 Player 7 Player 3 Player 8 Player 4 Player 9 Player 5 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for each player. Name The FIX Key Date Problem You...
... 3 decimal places) 2. Player C. Make a list of Times at bat) rounded to be on your players in order, from the list to 3 decimal places for Teachers 5 Procedure 1. Player 1 Player 6 Player 2 Player 7 Player 3 Player 8 Player 4 Player 9 Player 5 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for each player. Name The FIX Key Date Problem You...
Teachers Guide
Page 17
...75 d. Press % ,. Have students find the trigonometric ratios for rounding.) a. a. Press 2 to the nearest 10 thousandth. sin 71° 0.9455 ³ To find sin 71°: 1. Round to students. F0123456789 2. Trig Functions Overview Students practice solving sine..., cosine, and tangent ratios, and solve problems involving trigonometric ratios. sin A 4 ¾ 5 = 0.80 e. Math Concepts • multiplication • division • trigonometric ratios Materials • TI...
...75 d. Press % ,. Have students find the trigonometric ratios for rounding.) a. a. Press 2 to the nearest 10 thousandth. sin 71° 0.9455 ³ To find sin 71°: 1. Round to students. F0123456789 2. Trig Functions Overview Students practice solving sine..., cosine, and tangent ratios, and solve problems involving trigonometric ratios. sin A 4 ¾ 5 = 0.80 e. Math Concepts • multiplication • division • trigonometric ratios Materials • TI...
Teachers Guide
Page 18
... ¾ adjacent leg to the nearest tenth). Yes, angle A is 1.5 feet. tan-1( 2. Angle A is 20 feet. Is there enough room to the door is 4.3 degrees (rounded to find angle A. A 20 ft. 2. Can you do that and still have the angle of incline be more than 6 degrees? Enter 1.5 W 20 and press E Press...
... ¾ adjacent leg to the nearest tenth). Yes, angle A is 1.5 feet. tan-1( 2. Angle A is 20 feet. Is there enough room to the door is 4.3 degrees (rounded to find angle A. A 20 ft. 2. Can you do that and still have the angle of incline be more than 6 degrees? Enter 1.5 W 20 and press E Press...
Teachers Guide
Page 19
... degree. tan 31º c. tan C d. a. Find the trigonometric ratios for rounding.) a. Round to the nearest hundredth. (Use % , for the triangle. sin C b. a. cos 25º 3. Round to the nearest ten thousandth. tan C = 5.83 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 12 Using the TI-30X ÖS, find the measure of each angle. Using the...
... degree. tan 31º c. tan C d. a. Find the trigonometric ratios for rounding.) a. Round to the nearest hundredth. (Use % , for the triangle. sin C b. a. cos 25º 3. Round to the nearest ten thousandth. tan C = 5.83 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 12 Using the TI-30X ÖS, find the measure of each angle. Using the...
Teachers Guide
Page 20
The distance from the ground to the bottom of incline be more than 6 degrees? © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 13 Procedure 1. Is there enough room to start the ramp 15 feet away from the street to the door is 1.5 ... angle of the door is 20 feet. The distance from the door. Use the trigonometric ratio tan = opposite leg ¾ adjacent leg to find angle A. (Round your front door. Is there room to build the ramp Extension You want the angle of the problem. 2. Make a drawing of incline to be less...
The distance from the ground to the bottom of incline be more than 6 degrees? © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 13 Procedure 1. Is there enough room to start the ramp 15 feet away from the street to the door is 1.5 ... angle of the door is 20 feet. The distance from the door. Use the trigonometric ratio tan = opposite leg ¾ adjacent leg to find angle A. (Round your front door. Is there room to build the ramp Extension You want the angle of the problem. 2. Make a drawing of incline to be less...
Teachers Guide
Page 31
...4. Press % ,. n Ï Sx Îx Ð 12.00 2. Press " " " to b. Sy Îy Òx 112.00 1. Press " to Ð. Calculate the statistical data. The form of the equation is the correlation coefficient. ÒXY a b r 0.91 1. Write the correlation coefficient. F0123456789 2. Press u. Press " " " to...would expect a player to the nearest hundredth). 1.56x + 7.02 5. Press " to r. This is the total number of best fit (round to play if she averages 15 points per game for the line of points scored per game. 1. WNBA Stats - 2-Variable Statistics (Continued)...
...4. Press % ,. n Ï Sx Îx Ð 12.00 2. Press " " " to b. Sy Îy Òx 112.00 1. Press " to Ð. Calculate the statistical data. The form of the equation is the correlation coefficient. ÒXY a b r 0.91 1. Write the correlation coefficient. F0123456789 2. Press u. Press " " " to...would expect a player to the nearest hundredth). 1.56x + 7.02 5. Press " to r. This is the total number of best fit (round to play if she averages 15 points per game for the line of points scored per game. 1. WNBA Stats - 2-Variable Statistics (Continued)...
Teachers Guide
Page 52
... the setting and returns to standard notation (floating decimal). • The FIX setting affects all decimal results and the mantissa of scientific and engineering notation results. • The TI-30X ÙS automatically rounds the result to 2 places, 0.147 becomes 0.15 when you set to the number of decimal places selected. For example, when...
... the setting and returns to standard notation (floating decimal). • The FIX setting affects all decimal results and the mantissa of scientific and engineering notation results. • The TI-30X ÙS automatically rounds the result to 2 places, 0.147 becomes 0.15 when you set to the number of decimal places selected. For example, when...
Teachers Guide
Page 53
Decimal, FIX Round 12.345 to the hundredths place, to the tenths place, and then cancel the FIX setting. Press Display 12 8 345 12.345 8 %© %© " " " < DEG F_ 0 1 2 3 4 5 6 7 8 9 DEG F 0 1 _2 3 4 5 6 7 8 9 DEG 12.345 < %© 1 %© 8 FIX DEG 12.345 ' 12.35 FIX DEG 12.345 FIX ' 12.3 DEG 12.345 ' 12.345 DEG © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 46
Decimal, FIX Round 12.345 to the hundredths place, to the tenths place, and then cancel the FIX setting. Press Display 12 8 345 12.345 8 %© %© " " " < DEG F_ 0 1 2 3 4 5 6 7 8 9 DEG F 0 1 _2 3 4 5 6 7 8 9 DEG 12.345 < %© 1 %© 8 FIX DEG 12.345 ' 12.35 FIX DEG 12.345 FIX ' 12.3 DEG 12.345 ' 12.345 DEG © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 46
Teachers Guide
Page 65
or " to move to the number of decimal places in 2 ways: Press ! Keys 1. Pi 9 Notes • The examples on the transparency masters assume all default settings. • Internally, pi is stored to 10 digits (3.141592654). g displays the value of pi rounded to 13 digits (3. 141592653590). • After pressing % ,, you can select the number of decimal places you want, and then press
or " to move to the number of decimal places in 2 ways: Press ! Keys 1. Pi 9 Notes • The examples on the transparency masters assume all default settings. • Internally, pi is stored to 10 digits (3.141592654). g displays the value of pi rounded to 13 digits (3. 141592653590). • After pressing % ,, you can select the number of decimal places you want, and then press
Teachers Guide
Page 67
Area Use this formula to floating decimal mode. DEG p*42 ' 50.26548246 DEG © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 60 A = pr2 = p x 42 Press Display g V 4 F < %© " p*42 ' 50.26548246 DEG F-0 1 2 3 4 5 6 7 8 9 < %© 8 DEG p*42 FIX ' 50. Round your answer to the nearest whole number, and then return to find how much g of a lawn would be covered by the sprinkler.
Area Use this formula to floating decimal mode. DEG p*42 ' 50.26548246 DEG © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 60 A = pr2 = p x 42 Press Display g V 4 F < %© " p*42 ' 50.26548246 DEG F-0 1 2 3 4 5 6 7 8 9 < %© 8 DEG p*42 FIX ' 50. Round your answer to the nearest whole number, and then return to find how much g of a lawn would be covered by the sprinkler.
Teachers Guide
Page 70
L= x = 3 3m2 of carpet would cover the floor. DEG %œ © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 63 Square Roots Use this formula to 0 decimal places. Round your answer to find the length of the side of a square clubhouse if 3m2 of carpet Press %œ 3 E < %© " < Display ‹(3) ' 1.732050808 DEG ‹(3) FIX ' 2.
L= x = 3 3m2 of carpet would cover the floor. DEG %œ © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 63 Square Roots Use this formula to 0 decimal places. Round your answer to find the length of the side of a square clubhouse if 3m2 of carpet Press %œ 3 E < %© " < Display ‹(3) ' 1.732050808 DEG ‹(3) FIX ' 2.
Teachers Guide
Page 89
FIX DEG 78/tan (27) ' 153.0836194 DEG © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 82 D = 78/TAN 27 @ Press 78 W @ 27 E < %© " < %© 8 Display 78/tan (27) ' 153.0836194 DEG F-0 1 2 3 4 5 6 7 8 9 DEG 78/tan (27) ' 153. Round your answer to the nearest whole number, and then return to the boat. Tangent Use this formula to find the distance from the lighthouse to floating decimal mode.
FIX DEG 78/tan (27) ' 153.0836194 DEG © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 82 D = 78/TAN 27 @ Press 78 W @ 27 E < %© " < %© 8 Display 78/tan (27) ' 153.0836194 DEG F-0 1 2 3 4 5 6 7 8 9 DEG 78/tan (27) ' 153. Round your answer to the nearest whole number, and then return to the boat. Tangent Use this formula to find the distance from the lighthouse to floating decimal mode.
Teachers Guide
Page 90
Round your answer to the nearest tenth, and then return to find the angle of depression. TAN x = 600/2500 %Ÿ Press Display %Ÿ 600W 2500 E < %© " " tan-1 (600/25 & ' 13.49573328 DEG F 0 -1 2 3 4 5 6 7 8 9 < DEG tan-1 (600/25 & ' 13.5 FIX DEG %© 8 tan-1 (600/25 & ' 13.49573328 DEG © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 83 Inverse Tangent Use this formula to floating decimal mode.
Round your answer to the nearest tenth, and then return to find the angle of depression. TAN x = 600/2500 %Ÿ Press Display %Ÿ 600W 2500 E < %© " " tan-1 (600/25 & ' 13.49573328 DEG F 0 -1 2 3 4 5 6 7 8 9 < DEG tan-1 (600/25 & ' 13.5 FIX DEG %© 8 tan-1 (600/25 & ' 13.49573328 DEG © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 83 Inverse Tangent Use this formula to floating decimal mode.
Teachers Guide
Page 91
FIX DEG 5*cos (75) ' 1.294095226 DEG © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 84 Round your answer to the nearest whole number, and then return to find how far the base of the ladder is from the house. Cosine Use this formula to floating decimal mode. Press Display 5 V ? 75 E < %© " 5*cos (75) ' 1.294095226 DEG F -0 1 2 3 4 5 6 7 8 9 < %© 8 DEG 5*cos (75) ' 1. D = 5 x COS 75 ?
FIX DEG 5*cos (75) ' 1.294095226 DEG © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 84 Round your answer to the nearest whole number, and then return to find how far the base of the ladder is from the house. Cosine Use this formula to floating decimal mode. Press Display 5 V ? 75 E < %© " 5*cos (75) ' 1.294095226 DEG F -0 1 2 3 4 5 6 7 8 9 < %© 8 DEG 5*cos (75) ' 1. D = 5 x COS 75 ?
Teachers Guide
Page 92
Inverse Cosine Use this formula to floating decimal mode. Round your answer to the nearest tenth, and then return to find the angle of the ski jump. COS x = 453/500 % Press Display % 453W cos-1 (453/50 & ' 500 E < 25.04169519 DEG %© " " F 0 -1 2 3 4 5 6 7 8 9 DEG < cos-1 (453/50 & ' 25.0 DEG %© 8 cos-1 (453/50 & ' 25.04169519 DEG © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 85
Inverse Cosine Use this formula to floating decimal mode. Round your answer to the nearest tenth, and then return to find the angle of the ski jump. COS x = 453/500 % Press Display % 453W cos-1 (453/50 & ' 500 E < 25.04169519 DEG %© " " F 0 -1 2 3 4 5 6 7 8 9 DEG < cos-1 (453/50 & ' 25.0 DEG %© 8 cos-1 (453/50 & ' 25.04169519 DEG © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 85
Teachers Guide
Page 93
Round your answer to the nearest whole number, and then return to find the length of the ramp. D = 1.5/SIN 12 Press 1 8 5 W > 12 E < %© " < %© 8 Display 1.5/sin (12) & ' 7.214601517 DEG F -0 1 2 3 4 5 6 7 8 9 DEG 1.5/sin (12) & ' 7. FIX DEG 1.5/sin (12) & ' 7.214601517 DEG > © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 86 Sine Use this formula to floating decimal mode.
Round your answer to the nearest whole number, and then return to find the length of the ramp. D = 1.5/SIN 12 Press 1 8 5 W > 12 E < %© " < %© 8 Display 1.5/sin (12) & ' 7.214601517 DEG F -0 1 2 3 4 5 6 7 8 9 DEG 1.5/sin (12) & ' 7. FIX DEG 1.5/sin (12) & ' 7.214601517 DEG > © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 86 Sine Use this formula to floating decimal mode.
Teachers Guide
Page 94
Inverse Sine Use this formula to floating decimal mode. SIN x = 13/20 % Press % 13 W 20 E < %© " " < %© 8 Display sin-1 (13/20) & ' 40.54160187 DEG F 0 -1 2 3 4 5 6 7 8 9 DEG sin-1 (13/20) & ' 40.5 FIX DEG sin-1 (13/20) & ' 40.54160187 DEG © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 87 Round your answer to the nearest tenth, and then return to find the angle of the conveyor belt.
Inverse Sine Use this formula to floating decimal mode. SIN x = 13/20 % Press % 13 W 20 E < %© " " < %© 8 Display sin-1 (13/20) & ' 40.54160187 DEG F 0 -1 2 3 4 5 6 7 8 9 DEG sin-1 (13/20) & ' 40.5 FIX DEG sin-1 (13/20) & ' 40.54160187 DEG © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 87 Round your answer to the nearest tenth, and then return to find the angle of the conveyor belt.
Teachers Guide
Page 99
Common Logarithm, Natural Logarithm Find log 23 rounded to floating decimal notation. Press A 23 E < %© 4 B 23 E < %© 8 Display log (23) ' 1.361727836 DEG -F 0 1 2 3 4 5 6 7 8 9 DEG log (23) ' 1.3617 FIX DEG ln (23) ' 3.1355 FIX DEG ln (23) ' 3.135494216 DEG A B © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 92 Then find ln 23 rounded to 4 decimal places and return to 4 decimal places.
Common Logarithm, Natural Logarithm Find log 23 rounded to floating decimal notation. Press A 23 E < %© 4 B 23 E < %© 8 Display log (23) ' 1.361727836 DEG -F 0 1 2 3 4 5 6 7 8 9 DEG log (23) ' 1.3617 FIX DEG ln (23) ' 3.1355 FIX DEG ln (23) ' 3.135494216 DEG A B © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 92 Then find ln 23 rounded to 4 decimal places and return to 4 decimal places.