DOCUMENT RESUME SE 062 105 ED 428 951 Ryan, Walter F. AUTHOR Seventh Grade Geometry Unit: New Albany-Floyd County School TITLE Corporation TI-92 Supplementary Activities. Teacher Edition. 1998-00-00 PUB DATE NOTE 146p. Classroom Guides Teacher (052) PUB TYPE MF01/PC06 Plus Postage. EDRS PRICE Educational Technology; Geometric Concepts; *Geometry; DESCRIPTORS *Grade 7; *Graphing Calculators; Junior High Schools; Lesson Plans; *Mathematics Activities; Mathematics Instruction University of Chicago School Mathematics Project IDENTIFIERS ABSTRACT This book is designed to supplement The University of Chicago School Mathematics Project's (UCSMP) Transition Mathematics textbook. The content and questions in this book have been sequenced to specific geometry lessons in the Transition Mathematics text. All geometry explorations are done with the TI-92 calculator. This book is organized around 15 lessons that can be completed in a 60-minute mathematics class. Problems assigned at the end of the lessons are similar to the problems in the parent textbook. (ASK) ******************************************************************************** Reproductions supplied by EDRS are the best that can be made * * from the original document. * * ******************************************************************************** SE Seventh Grade Geometry Unit New Albany-Floyd County School Corporation TI-92 Supplementary Activities Teacher Edition yc *4 isZOE 7 , . -- . ......... by Walter F. Ryan, Ph.D. U.S. DEPARTMENT OF EDUCATION PERMISSION TO REPRODUCE AND Office of Educational Research and Improvement DISSEMINATE THIS MATERIAL HAS EDUCATIONAL RESOURCES INFORMATION BEEN GRANTED BY CENTER (ERIC) )(Zia document has been reproduced as received from the person or organization originating it. 0 Minor changes have been made to improve reproduction quality. TO THE EDUCATIONAL RESOURCES Points of view or opinions stated in this INFORMATION CENTER (ERIC) document do not necessarily represent 1 official OERI position or policy. EST COPY AVANIABLE Copyright 0 1998 -i- 3 Acknowledgments organizations for their contributions Appreciation is extended to the following people and and support of this project. undergraduate students, Tiffany Indiana University Southeast elementary education the initial development and evaluation of . Klemenz and Ginger Swink, who were instrumental in the TI-92 activities included in this student edition. and Ms. Margaret Ehringer, who Indiana University Southeast faculty, Dr. William Jamski manual. provided helpful assistance in the editing of this supplemental Committee for the grant to cover the Indiana University Southeast Research and Grants of the activities for this project. expenses for the development Albany High School, who coordinated the Ms. Sally Jensen, mathematics teacher at New Corporation. project for the New Albany-Floyd County School permitting the research to be New Albany-Floyd County School Corporation for funds to cover the cost of printing this conducted in their junior high schools and for providing the supplemental manual. of calculators required for the Texas Instruments for providing the three classroom sets research section of this project. Albany-Floyd County School Seventh grade teachers and students with the New supplemental activities. Corporation for their participation in the piloting of the-M-92 geometry Table of Contents Acknowledgments Table of Contents Preface -2- Introduction to TI-92 Calculator Lesson 1 _?_ Calculator Part 1 - Familiarization with TI-92 Using the Snap-On Cover as a Stand -3- Turning on the TI-92 Calculator -3- Adjusting Screen Display -4- Special Keys -4- Cursor Pad -5- F Keys -5- ESC Key -5- ENTER Keys -6- Backspace Key [4] -6- 2"d Keys -7- Turning Off the TI-92 Calculator -7- Introduction to Geometry Applications Part 2 -7- Starting a New Geometry Session -9- Clearing Geometry Screen -9- Drawing a Line Segment -10- Drawing a Circle -10- Drawing a Triangle -11- Drawing a Polygon -12- Drawing a Regular Polygon -12- Comment Box -13- Dragging Geometric Figures and Text -14- Resizing Geometric Figures -15- Deletion of One Part of a Geometry Drawing -15- Getting the Home Screen -15- Some Geometry Designs -17- Labeling and Measuring Geometric Figures Lesson 2 - File Management, and -17- Part 1 - File Management -17- Creating a New Folder for Your Work -18- Part 2 - Geometry Applications -18- Your New Folder Starting a New Geometry Session Using -20- Calculator Measurements Setting the Precision of your TI-92 5 -21- Drawing and Measuring a Line Segment Typing Uppercase (Capital) Letters Labeling Vertices of Triangle _71_ Typing Label A Repositioning Label A -23- the Sides of Triangle ABC Using the Measuring Tool to Measure -23- Measuring Side AB of Triangle ABC -23- Repositioning the Measure of Side AB -24- Perimeter of Triangle ABC -24- Comment Box -25- Opening a Previous Geometry Session -26- Problem -27- Labeling, Marking, and Measuring Angles Lesson 3 - File Management, and -27- and Resizing an Angle Drawing, Labeling, Marking, Measuring, Part 1 - -27- Drawing an Angle -27- Drawing Rays for Angle -28- Marking Angle -29- Labeling Angle -29- Measuring Angle -30- Resizing Angle -30- Part 2 - Copying a Geometry Session -32- Repositioning the Three Angles of a Triangle . Part 3 - Marking, Measuring, and -32- Marking LPQR -33- Measuring LPQR -33- Repositioning the Measure of LPQR -34- Problem -35- Lines, and Regular Polygons Lesson 4 - File Management, Parallel -35- Management - File Part 1 -35- Deletion of Geometry Sessions -36- Lines Part 2 -Drawing and Testing Parallel -37- Drawing Parallel Lines -38- Lines Drawing a Transversal for the Two Parallel -38- the Parallel Lines Placing Points on the Transversal and -39- Labeling Points -39- Parallel Testing Lines to Determine if They Are -40- Properties of Regular Pentagons Part 3 - Investigations of the -40- Drawing Regular Pentagon -40- Making a Copy of a Geometry Session -41- Measuring Sides of Regular Pentagon -41- Measuring Angles of Regular Pentagon -42- Problem -iv- -43- Application File Management and Review of TI-92 Geometry Lesson 5 -43- Locking/Unlocking Geometry Sessions -44- Review Problems -46- Lesson 6 - Section 7.7 - Angles and Lines -46- Pairs - Linear Part 1 -48- Part 2 - Vertical Angles -50- Perpendicular Lines Part 3 -51- Problems -57- Section 7-8 - Angles and Parallel Lines Lesson 7 -52- Part 1 - Corresponding Angles -52- Corresponding Angles LABF and LBCH -53- Corresponding Angles LFBC and LIICD -54- Corresponding Angles L ABE and LBCG -54- Corresponding Angles LEBC and L GCD -55- Part 2 - Alternate Interior Angles -55- Alternate Interior Angles LPLM and LLMS -56- Alternate Interior Angles LQLM and LLMR -57- Problems -58- Lesson 8 - Section 7-9 - Special Quadrilaterals -58- Part 1 - Properties of a Parallelogram -59- Part 2 - Properties of a Rhombus -61- Part 3 - Properties of a Rectangle -62- Part 4 - Properties of a Square -64- Property Lesson 9 - Section 7-8 - The Triangle Sum -64- Triangle Sum Property -65- Problems -66- Section 13-1 - Area of a Right Triangle Lesson 10 -66- Problems -67- TI-92 Investigative Problem -68- Theorem Lesson 11 - Section 13-3 - The Pythagorean -68- Pythagorean Theorem -69- Problems -70- Triangle Lesson 12 - Section 13-4 - Ana of Any -70- Heights and Areas of Triangles -72- Problems -v- 7 -73- Polygons Lesson 13 - Section 13-6 - Areas of -73- Problems -74- The Number 11 Section 13-6 Lesson 14 -74- The Number IT -75- Problems -77- Section 13-7 - Circles and Sectors Lesson 15 -77- Problems -78- TI-92 Calculator Operation Reference -79- Overview of TI-92 Calculator -79- Using the Snap-On Cover as a Stand -79- BATT Display -80- Turning On the TI-92 Calculator -80- Getting the Home Screen -80- Turning Off the TI-92 Calculator -81- Adjusting Screen Display -81- Typing Uppercase (Capital) Letters -82- Special Keys -82- Cursor Pad -82- ESC Key -82- ENTER Keys -82- 2nd Keys -82- ] Key Up Arrow [ -83- APPS Key -83- Backspace Key [+-] -83- F Keys -84- Hand Lock Key -84- Starting a New Geometry Session -86- Opening a Previous Geometry Session -88- File Management -88- Deletion of Sessions (Files) -90- Creating a New Folder -91- Moving/Copying Sessions between Folders -94- Problems Appendix A Screens for Lesson -95- Lesson Problem Screens -95- Marking, and Measuring Angles Lesson 3 - File Management, and Labeling, -95- Problem 1 Screen -95- Geometry Application File Management and Review of TI-92 . . Lesson 5 . -95- Problem 3 Screen -vi- 8 -95- Lesson 6 - Section 7.7 - Angles and Lines -95- Problem 1 Screen -96- Problem 2 Screen -96- Lesson 7- Section 7-8 - Angles and Parallel Lines -96- Problem 1 Screen -96- Problem 2 Screen -97- Section 7-8 - The Triangle Sum Property Lesson 9 -97- Problem 1 Screen -97- Problem 2 Screen -97- Problem 3 Screen -98- Lesson 10 - Section 13-1 - Area of a Right Triangle -98- Problem 1 Screen -98- Problem 2 Screen -98- Problem 3 Screen -99- Problem 4 Screen -99- Problem 5 Screen -99- Section 13-3 - The Pythagorean Theorem Lesson 11 -99- Problem 1 Screen -100- Problem 2 Screen -100- Problem 3 Screen -100- Lesson 12 - Section 13-4 - Area of Any Triangle -100- Problem 1 Screen -101- Problem 2 Screen -101- Problem 3 Screen -101- Lesson 13 - Section 13-6 - Areas of Polygons -101- Problem 1 Screen -102- Problem 2 Screen -102- Problem 3 Screen -102- Lesson 14 - Section 13-6 - The Number II -102- Problem 1 Screen -103- Problem 2 Screen -103- Problem 3 Screen -103- Lesson 15 - Section 13-7 - Circles and Sectors -103- Problem 1 Screen -104- Problem 2 Screen -104- Problem 3 Screen -105- Appendix B - Recording Sheets for Student Activities -106- Student Recording Sheets -106- Student Recording Sheet #1 - Line Segment Measurement -106- of Triangle ABC Student Recording Sheet #2 - Measures of Sides -107- Student Recording Sheet #3 - Angle Measure -107- Student Recording Sheet #4 - Resizing Angles -vii- 9 Student Recording Sheet #5 Regular Pentagon -108- - Student Recording Sheet #6 - Regular Hexagon -108- Student Recording Sheet #7 - Linear Pairs -109- Student Recording Sheet #8 - Vertical Angles -109- Student Recording Sheet #9 - Corresponding Angles L ABF and LBCH - 110- . . Student Recording Sheet #10 Corresponding Angles LFBC and LFICD - 110- Student Recording Sheet #11 Corresponding Angles L ABE and LBCG - 111- . . Student Recording Sheet #11 Corresponding Angles LEBC and L GCD - 111- . . Student Recording Sheet #12 Alternate Interior Angles LPLM and LLMS - 112- Student Recording Sheet #13 - Alternate Interior Angles LQLM and LLMR - 112- Student Recording Sheet #14 - Properties of a Parallelogram - 113- Student Recording Sheet #15 - Properties of a Rhombus -113- Student Recording Sheet #16 - Properties of a Rectangle -114- Student Recording Sheet #17 - Properties of a Square - 114- Student Recording Sheet #18 - Triangle Sum Property - 115- Student Recording Sheet #19 - Pythagorean Theorem - 115- Student Recording Sheet #20 - Heights and Areas of Triangles -116- - The Number n Student Recording Sheet #21 - 116- Appendix C - Teacher Notes - 117- General Comments - 118- TI-92 Calculator Set-up -119- Introduction to TI-92 Calculator Lesson 1 - 120- Part 1 - Familiarization with TI-92 Calculator -120- Part 2 - Introduction to Geometry Applications -120- Lesson 2 File Management, and Labeling and Measuring Geometric Figures -122- . . Part 1 - File Management -122- Part 2 - Geometry Applications -122- Lesson 3 - File Management, and Labeling, Marking, and Measuring Angles -123- Part 1 - Drawing, Labeling, Marking, Measuring, and Resizing an Angle - 123- Part 2 - Copying a Geometry Session -123- Lesson 4 - File Management, Parallel Lines, and Regular Polygons - 124- Part 1 - File Management - 124- Part 2 -Drawing and Testing Parallel Lines - 124- Part 3 - Investigations of the Properties of Regular Pentagons -124- -125- Lesson 5 - File Management and Review of TI-92 Geometry Application -125- Locking/Unlocking Geometry Sessions -125- Review Problems Lesson 6 - Section 7.7 - Angles and Lines - 126- - Linear Pairs Part 1 - 126- Part 2 - Vertical Angles - 126- Part 3 - Perpendicular Lines - 126- Problems - 126- 1 0