Indiana Academic Standards for Geometry - McDougal … · McDougal Littell Geometry © 2004 ......

IndianaAcademic Standards for

Geometry

correlated to the

6/20032004

CC2

Introduction

to

McDougal Littell Geometry © 2004

by Ron Larson, Laurie Boswell, Tim Kanold, Lee Stiff

This program, written by an experienced author team, makes math accessible for the students andflexible for the teacher. Lessons include many features that provide learning support for a variety ofstudents.

Some Special Features• Prerequisite skill practice is provided on Study Guide pages and in the Mixed Review section of

every lesson to better prepare students for the coming lessons.• Highlighted vocabulary words occur in each lesson and in a summary list at the end of the chapter.• Student Help notes are integrated throughout every lesson to help students with basic skills,

prerequisites, study tips, common errors, and to provide homework help.• A number of opportunities for teachers to introduce lessons with easy-to follow activities are

included in every chapter.• Teachers have many opportunities to include graphing calculator activities and exercises in their

lessons. Keystrokes are provided for easy use in the classroom.• Internet links that directly relate to student instruction and success occur throughout every lesson.

These links provide support for independent student learning, including additional examples,problem-solving help, homework help, data updates, career links, and application extensions.

• Abundant examples make it easier for students to find help when doing their homework.• Vocabulary check, Concept check, and Skill check exercises in the Guided Practice provide

teachers with numerous options for ending class and for assessing student understanding.• Numerous exercises in each lesson allow teachers more flexibility in making assignments and

save them from needing to photocopy supplemental practice.• Test Preparation is included in every lesson to provide daily practice and test-taking strategies to

prepare students for a variety of state and national assessments.• Additional in-book practice is included in the Student Resources section at the back of the book.

Teachers are supported by a wealth of ancillary materials. A complete listing of all programcomponents is provided on the following page.

McDougal Littell Geometry © 2004Components

Pupil’s EditionTeacher’s Edition

Teacher’s Resource Package Chapter Resource Books 1–12Worked-out Solution KeyBasic Skills Workbook: Diagnosis and Remediation,

Teacher’s EditionPractice Workbook with Examples, Teacher’s

EditionStandardized Test Practice Workbook, Teacher’s

EditionWarm-up Transparencies and Daily Homework QuizOnline Lesson Planner User’s Guide

Transparencies: Extra Example Transparencies with Standardized

Test PracticeAnswer Transparencies for Checking HomeworkStarting Points: Alternative Lesson Opener

Transparency Package

Workbooks: Basic Skills Workbook: Diagnosis and Remediation,

Pupil’s EditionPractice Workbook with Examples, Pupil’s EditionStandardized Test Practice Workbook, Pupil’s

EditionExplorations and Projects Book

World Languages ResourcesResources in SpanishMulti-Language GlossaryEnglish-Spanish Chapter Reviews and TestsExercises in Spanish

Technology: Test and Practice Generator CD-ROMGeometry in Motion VideoGeometry Interactive Review Games CD-ROMPower Presentations CD-ROMEasy Planner CD-ROMPersonal Student Tutor CD-ROMChapter Audio Summaries in

English/Spanish/Haitian Creole

PE = Pupil’s Edition, TE = Teacher’s Edition

Selected exercises are referenced in parentheses, otherwise entire page is applicable.1

McDougal Littell Geometry © 2004correlated to

The Indiana Academic Standards for Geometry

INSTRUCTION APPLICATION

Pupil’s Edition andTeacher’s Edition

Print Ancillaries,Transparencies andTechnology

STANDARD 1 Points, Lines, Angles, and Planes Students find lengths and midpoints of lines. They describeand use parallel and perpendicular lines. They find slopes and equations of lines.

G.1.1 Find the lengthsand midpoints of linesegments in one- or two-dimensional coordinatesystems.

Example: Find the lengthand midpoint of the linejoining the points A (3, 8)and B (9, 0).

PE/TE

17-20, 34-35, 61 (#10-13), 62(#20-25)

Teacher’s Resource Package

Chapter Resource Books

Ch1: 41-42, 72

Practice Workbook withExamples TE

7, 13-14

Other Ancillaries

Extra ExamplesTransparencies withStandardized Test Practice

6-8, 11

Resources in Spanish

5-6, 10

Chapter Summaries

Track: 1

mcdougallittell.com

Lessons 1.3, 1.5

PE/TE

21-23, 24 (#55-59), 25 (#7), 38(#3-6, 17-24), 39 (#43), 42 (#63-68), 50 (#70-75), 61 (#10-13),62 (#20-22), 63 (#6-9, 15-16),64 (#4, 7), 78 (#65-70), 101(#35-44), 163 (#43-48), 209(#41-52), 242 (#48-53), 487(#61), 505 (#41-46), 635 (#40-45), 803 (#14-19)



Ch1: 37-40, 42, 44-45, 47-48,51, 69-73, 76-77, 80, 121-122;Ch2: 72


8-9, 13-14

Standardized Test PracticeWorkbook TE

3, 5

Warm-Up Transparencies andDaily Homework Quiz

4, 6

Other Ancillaries


6-8, 11

Starting Points: AlternativeLesson Opener TransparencyPackage

3


5-6, 10

English/Spanish Reviews andTests

3A-3B, 4A-4B, 5A-5B

McDougal Littell Geometry © 2004 correlated toThe Indiana Academic Standards for Geometry






G.1.2 Constructcongruent segments andangles, angle bisectors,and parallel andperpendicular lines usinga straight edge andcompass, explaining andjustifying the processused.

Example: Construct theperpendicular bisector of agiven line segment,justifying each step of theprocess.

PE/TE

33-34, 36, 104, 130, 142, 159,231, 263-264

TE Only

35



Ch2: 70

Other Ancillaries

Chapter Summaries

Tracks: 1, 2, 3, 4, 5

mcdougallittell.com

Lessons 1.5, 2.5, 3.1-3.5, 4.5,5.1

PE/TE

33, 38 (#14-16, 34-36), 105(#12-15), 134 (#39-40), 142,159, 160 (#6-7), 161 (#25-29),234 (#19-21), 235 (#24), 263,268 (#14-15)



Ch1: 69-71; Ch2: 70-71, 79;Ch3: 39, 56, 69, 70-72; Ch4: 7;Ch5: 12-13, 15-16, 18-19, 98,100, 102

Other Ancillaries


18, 28







G.1.3 Understand anduse the relationshipsbetween special pairs ofangles formed by parallellines and transversals.

Example: In the diagram,the lines k and l areparallel. What is themeasure of angle x?Explain your answer.

PE/TE

142, 143-144, 145 (Example 4),150-152, 157-158, 181 (#7-10)

TE Only:

159



Ch3: 43-44, 60-61, 73-74


46-47, 49-50, 52-53

Other Ancillaries


47-48, 50-52, 54-55


53-54, 56-59

Electronic LessonPresentations CD-ROM

Lesson 3.3

Chapter Summaries

Track: 3

Geometry in Motion Video

Lesson 3.1, 3.3

mcdougallittell.com

Lessons 3.3-3.5

PE/TE

142, 146-148, 149 (#6-9), 153-155, 156 (#37-39), 160 (#11-13), 161 (#15-24), 162 (#38),163 (#41, 52), 164 (#1-4), 181(#7-10), 184 (#2), 219 (#41-43),328 (#54-59), 419 (#45-50), 808(#14-25)



Ch3: 37, 40-42, 43-44, 46-48,51-52, 53, 57-59, 61, 63-64, 69,70-72, 73-74


42, 47-48, 50-51, 53-54


16-18


17-19

Other Ancillaries

Explorations and ProjectsBook

58


47-49, 51-55


16-18


53-54, 57-59


13A-13B

11

x l

k







G.1.4 Use coordinategeometry to find slopes,parallel lines,perpendicular lines, andequations of lines.

Example: Find an equationof a line perpendicular toy = 4x – 2.

PE/TE

124 (Example 2), 125, 165-167,172-174, 182, 795



Ch3: 88, 88 (Example 2), 103

Basic Skills Workbook withExamples TE

86-88


55-57, 58-60

Other Ancillaries


56-57, 59-61


61-62, 63

Chapter Summaries

Track: 3

mcdougallittell.com

Lessons 3.6-3.7

PE/TE

124 (#13-27), 125, 168-170, 171(#55-56), 175-177, 178 (#1-6),182, 183 (#12-13), 184 (#4, 6-7), 185 (#12-14), 187 (#31, 33),201 (#60-68), 209 (#56-57), 219(#44-46), 242 (#54-57), 271(#44-49), 278 (#34-37), 284(#39-42), 337 (#68-70), 345(#44), 428 (#62-67), 795, 808(#26-37)



Ch3: 83, 85-87, 89, 95-97, 99,100-102, 104, 107-108, 111,113, 115


86-88, 90


55-57, 59-60


19-20


20-21

Other Ancillaries


59


57, 59-60, 61-62


19-20


61-62, 64


14A-14B, 15A-15B







STANDARD 2 Polygons Students identify and describe polygons, and measure interior and exterior angles.They use congruence, similarity, symmetry, tessellations, and transformations. They find measures of sides,perimeters, and areas.

G.2.1 Identify anddescribe convex, concave,and regular polygons.

Example: Draw a regularhexagon. Is it convex orconcave? Explain youranswer.

PE/TE

323, 382 (#1-5)

TE Only:

322, 324



Ch6: 17


100-101

Other Ancillaries


104-105


122-123

Chapter Summaries

Track: 6

mcdougallittell.com

Lesson 6.1

PE/TE

325 (#3), 326 (#19-20, 31-32,35-36), 327 (#48-51), 328 (#52),382 (#1-2)



Ch6: 14-18


101


34


35

Other Ancillaries


105-106


122-123


27A-27B







G.2.2 Find measures ofinterior and exteriorangles of polygons,justifying the methodused.

Example: Calculate themeasure of one interiorangle of a regular octagon.Explain your method.

PE/TE

661-664, 708 (#1-8)



Ch11: 17-18


102, 202-204

Other Ancillaries


226-228


245-246

Chapter Summaries

Track: 11


Lesson 4.1, 11.1

mcdougallittell.com

Lesson 11.1

PE/TE

661, 665, 66 (#29-32, 41-44),667, 668 (#58-60, 62), 683 (#1-2), 708 (#1-8), 711 (#1-4), 758(#40-45), 823 (#1-7)



Ch11: 12-13, 14-16, 17-18, 20-21, 25, 52


102, 203-204


72


69

Other Ancillaries


226-228


68


245-246


52A-52B, 55A-55B







G.2.3 Use properties ofcongruent and similarpolygons to solveproblems.

Example: Divide a regularhexagon into triangles byjoining the center to eachvertex. Show that thesetriangles are all the samesize and shape, and so findthe sizes of the interiorangles of the hexagon.

PE/TE

472, 473-474, 517 (#7-9)



Ch8: 37, 41-42


147

Other Ancillaries


153-155


174-175

Chapter Summaries

Track: 8

mcdougallittell.com

Lesson 8.3

PE/TE

472, 475-477, 478 (#45, 49-52),479, 517 (#8), 817 (#27)



Ch8: 38-40, 41-42, 45-46


147


53


50

Other Ancillaries


153-156


174-175


38A-38B, 40A-40B







G.2.4 Applytransformations (slides,flips, turns, expansions,and contractions) topolygons in order todetermine congruence,similarity, symmetry, andtessellations. Know thatimages formed by slides,flips and turns arecongruent to the originalshape.

Example: Use a drawingprogram to create regularhexagons, regular octagons,and regular pentagons.Under the drawings,describe which of thepolygons would be best fortiling a rectangular floor.Explain your reasoning.

PE/TE

395, 396-398, 403, 406, 411,412-413, 415, 421-422, 452-453

TE Only

414, 423



Ch7: 16-17, 32-33, 46-47


121-123, 126, 127-128

Other Ancillaries


126, 130-131, 133, 135, 137


147-148, 149-150, 151-152

Chapter Summaries

Track: 7

mcdougallittell.com

Lessons 7.1-7.3

PE/TE

395, 399 (#8-11, 14-17), 400(#32-35), 401 (#43), 402 (#46),403, 407 (#12-14), 408 (#31-32), 409 (#44-49), 410 (#51),411, 416 (#5, 10-12), 417 (#20-21), 418 (#36-38), 426 (#20-24,37-42), 452-453, 471 (#57), 815(#3-4)

TE Only:

425



Ch7: 12-15, 16-17, 19, 23, 27-28, 29-31, 32-33, 35, 40, 41,43-45


121-123, 126, 128-129


45-47


42-44

Other Ancillaries


130-131, 133, 135


41-43


147-148, 149-150, 151-152


32A-32B, 33A-33B, 35A-35B







G.2.5 Find and usemeasures of sides,perimeters, and areas ofpolygons, and relate thesemeasures to each otherusing formulas.

Example: A rectangle ofarea 360 square yards is tentimes as long as it is wide.Find its length and width.

PE/TE

51-52, 54, 371, 372-375, 384(#23-25), 669-671, 677-678,690, 708 (#9-12), 709 (#13-17)

TE Only

53



Ch6: 105-106; Ch11: 33-34,46-47


101-104


19-20, 118, 205-207, 208-209

Other Ancillaries


122-124, 229, 231


136-137

Chapter Summaries

Tracks: 6, 11

mcdougallittell.com

Lessons 6.7, 11.2-11.3

PE/TE

55-56, 57 (#41-44, 48, 50), 58(#7-10), 62 (#30, 32-33), 65(#15-18), 370 (#55-60), 376-379, 380 (#4-7), 384 (#23-25),385 (#20), 471 (#47-49), 672-673, 674 (#45-49), 675 (#53),679-680, 681 (#29-33), 690, 708(#9-12), 711 (#5-8), 712 (#3-5),734 (#53, 55), 804 (#41-44, 46-47), 814 (#47-49), 823 (#20-25)



Ch6: 95-98, 99, 101, 103-104,106; Ch11: 26-29, 30-32, 33-34, 36-37, 40-42, 43-45, 46-47,49-51, 52


102-104


20, 119-120, 206-207, 208-210


7, 40, 73-74


8, 40-41, 70-71

Other Ancillaries


68


116, 122-125, 229-230, 237


40, 69-70


137


4A-4B, 29A-29B, 52A-52B,53A-53B, 55A-55B







G.2.6 Use coordinategeometry to proveproperties of polygonssuch as regularity,congruence, andsimilarity.

Example: Do these fourpoints form a square:(2, 1), (6, 2), (5, 6), (1, 5)?

PE/TE

341, 350 (Example 5), 357(Example 2), 365



Ch6: 43-44


107

Other Ancillaries


113, 115, 117, 120


126-127

Chapter Summaries

Track: 6

mcdougallittell.com

Lessons 6.3-6.6

PE/TE

343 (#21-26), 344 (#34-36), 363(#2-5), 354 (#55-58, 59-60), 355(#69-72), 360 (#36-38), 363 (#2-5), 368 (#36-41), 380 (#1-3),385 (#17), 386 (#5), 389 (#27),402 (#57-58), 436 (#45-47), 541(#55-56), 611 (#74-75), 813(#21-24), 814 (#31-34)



Ch6: 41-42, 44, 59


108


37-38


37, 39-40

Other Ancillaries


66


113, 117


127


28A-28B







STANDARD 3 Quadrilaterals Students identify and describe simple quadrilaterals. They use congruence andsimilarity. They find measures of sides, perimeters, and areas.

G.3.1 Describe, classify,and understandrelationships among thequadrilaterals square,rectangle, rhombus,parallelogram, trapezoid,and kite.

Example: Use a drawprogram to create a square,rectangle, rhombus,parallelogram, trapezoid,and kite. Judge which of thequadrilaterals hasperpendicular diagonals anddraw those diagonals in thefigures. Give a convincingargument that yourjudgment is correct.

PE/TE

329, 330-333, 347-349, 356-358, 364

TE Only

365



Ch6: 31, 61, 74


72


102-103, 105-106, 109-111,112-114, 115-117

Other Ancillaries


114-116, 120-121


124, 129, 131

Chapter Summaries

Track: 6


Lesson 6.4


Lessons 6.2, 6.4-6.6

PE/TE

329, 333 (#1-3), 337 (#62-64),351, 359 (#1-6, 10-15), 361(#43), 362 (#52), 367 (#16-29),369 (#45-47), 383 (#13-15), 385(#10-16), 386 (#4), 389 (#29),477 (#31-38), 814 (#25-30)



Ch6: 28-30, 53, 58-60, 61, 71,79, 82-83, 84-86


72


104-105, 110-111, 113-114,116-117


35, 37-39


36-40

Other Ancillaries


65-67


114-116, 120-121


35, 37-39


129, 133


27A-27B, 28A-28B, 29A-29B,30A-30B







G.3.2 Use properties ofcongruent and similarquadrilaterals to solveproblems involvinglengths and areas.

Example: Of two similarrectangles, the second hassides three times the lengthof the first. How many timeslarger in area is the secondrectangle?

PE/TE

330, 332, 350 (Example 6),472, 474-475, 676, 677-678,709 (#13-17)

TE Only:

331, 473



Ch6: 54, 62; Ch11: 46-47


208-209

Other Ancillaries


153-155, 229, 231


130, 249-250

Chapter Summaries

Track: 6, 8, 11

mcdougallittell.com

Lesson 11.3

PE/TE

333 (#4-5, 8-9, 12-15), 334(#20-22, 26, 28-29, 31-34, 36),352 (#36-38), 360 (#22-24, 28-30), 385 (#19), 389 (#34-35),472, 475 (#6), 477 (#25, 27-28,39, 41, 43-44), 478 (#47-48),479 (#7-8), 676, 679-680, 681(#29-33), 682 (#5-7), 709 (#13-17), 814 (#38-43), 817 (#28),823 (#26-29)

TE Only

476



Ch6: 54, 58, 62, 65, 71-75;Ch8: 36, 38-40, 45-46; Ch11:46-47, 51-52


209-210


38, 53, 74


50, 71

Other Ancillaries


68


154-156, 229-230, 232


70


131-132, 176


28A-28B, 38A-38B, 53A-53B







G.3.3 Find and usemeasures of sides,perimeters, and areas ofquadrilaterals, and relatethese measures to eachother using formulas.

Example: A section of roofis a trapezoid with length 4m at the ridge and 6 m atthe gutter. The shortestdistance from ridge to gutteris 3 m. Construct a modelusing a computer drawprogram showing how tofind the area of this sectionof roof.

PE/TE

51, 52 (Example 3), 53-54,371, 372-375, 384 (#23-25)



Ch6: 95, 105


101-104


20, 118-119

Other Ancillaries


122-124


136-137

Chapter Summaries

Track: 6

mcdougallittell.com

Lesson 6.7

PE/TE

55-56, 57 (#41-44, 48, 50), 58(#8-9), 352 (#39, 42-43), 370(#55-60), 371, 376-379, 380(#4-6), 382 (#8), 384 (#23-25),385 (#20), 389 (#30), 444 (#62-64), 456 (#1-3), 471 (#47-49),534 (#49-51), 814 (#47-49)



Ch6: 60, 96-97, 98-99, 102-103, 106, 123


102-104


20, 119-120


7, 40


8, 40-41

Other Ancillaries


68


116, 122, 124-125, 154-155


40


137


4A-4B, 29A-29B







G.3.4 Use coordinategeometry to proveproperties ofquadrilaterals such asregularity, congruence,and similarity.

Example: Do these fourpoints form a kite:(0, 0), (6, 0), (4, 2), (5, -2)?

PE/TE

330, 341, 350 (Example 5), 384(#19-22)

TE Only

354



Ch6: 43-44, 87-88


107, 117

Other Ancillaries


113, 117, 120


126-127, 134-135

Chapter Summaries

Track: 6

mcdougallittell.com

Lesson 6.6

PE/TE

335 (#40-44), 337 (#62-64), 343(#21-26), 354 (#55-58, 59-60),355 (#69-72), 360 (#36-38), 363(#63, 64; Quiz 2 #2-5), 368(#36-41), 380 (#1-3), 384 (#19-22), 385 (#17), 386 (#5, 7), 389(#27), 436 (#45-47), 541 (#55-56), 602 (#59-60), 611 (#74-75),813 (#21-24)



Ch6: 41-42, 44, 59, 84-86, 88


108, 117


35-36


37, 39-40

Other Ancillaries


66


113, 117


127


29A-29B







STANDARD 4 Triangles Students identify and describe types of triangles. They identify and draw altitudes,medians, and angle bisectors. They use congruence and similarity. They find measures of sides, perimeters,and areas. They apply inequality theorems.

G.4.1 Identify anddescribe triangles that areright, acute, obtuse,scalene, isosceles,equilateral, andequiangular.

Example: Use a drawprogram to create examplesof a right, acute, obtuse,scalene, isosceles,equilateral, and equiangulartriangle. Identify anddescribe the attributes ofeach triangle.

PE/TE

194-197, 236-237, 525 (#1-6),544 (Example 2)

TE Only

543-544



Ch4: 18, 84, 88; Ch9: 47


71


61-62, 76-77, 166-167

Other Ancillaries


63, 181


74, 86, 199-200

Chapter Summaries

Tracks: 4, 9

mcdougallittell.com

Lesson 4.1

PE/TE

198-199, 201 (#50), 210 (#1-3),235 (#34-36), 236, 240 (#27-28,29), 252 (#1-5), 255 (#1-6), 308(#32-37), 363 (#54), 534 (#47-48), 545 (#3-6), 546 (#14-25),809 (#1-4), 821 (#22-27)



Ch4: 11, 13, 15-17, 18, 83-84,111, 113, 115; Ch9: 44-46, 48,51


71


62, 78, 167


21, 60


21-22, 26, 57

Other Ancillaries


60, 71


181


21, 26, 56


75, 90, 92, 94, 200


17A-17B, 19A-19B, 20A-20B,43A-43B







G.4.2 Define, identify,and construct altitudes,medians, angle bisectors,and perpendicularbisectors.

Example: Draw severaltriangles. Construct theirangle bisectors. What doyou notice?

PE/TE

265-266, 272-274, 279, 281,286, 310 (#4-5), 311 (#6-11),527

TE Only

528-529



Ch5: 20-21, 32-33, 46


82-83, 85, 87-88

Other Ancillaries


88-89, 92


99-100, 101-102, 103

Chapter Summaries

Track: 5


Lesson 5.3


Lessons 5.2, 5.3

mcdougallittell.com

Lessons 5.2-5.3

PE/TE

267 (#1-7), 268 (#14-15), 275(#5-13), 276 (#18-21), 282 (#3-7), 283 (#24-29), 284 (#34-38),286, 293 (#50, 52), 308 (#42),313 (#4-5, 8, 11), 527, 533(Using Technology), 811 (#13-15)



Ch5: 12-16, 17-19, 21, 23-24,27-28, 29-31, 35, 39, 41-42, 43-45, 46, 49, 52


83-84, 86-87, 89


28-30


29-30

Other Ancillaries


63


88-90, 92-93


28-29


100, 102-103, 105


22A-22B, 23A-23B, 25A-25B

G.4.3 Constructtriangles congruent togiven triangles.

Example: Construct atriangle given the lengths oftwo sides and the measureof the angle between thetwo sides.

PE/TE

211, 213, 228, 231 (Example 4)

TE Only

202



Ch4: 44

PE/TE

211, 213, 218 (#29, 32), 225(#26-27), 228



Ch4: 44







G.4.4 Use properties ofcongruent and similartriangles to solveproblems involvinglengths and areas.

Example: Of two similartriangles, the second hassides half the length of thefirst. The area of the firsttriangle is 20 cm2. What isthe area of the second?

PE/TE

205, 372-373, 384 (#23-25),481-482, 490-491,501 (Example 6), 527,528 (Example 1), 582 (#1-3)

TE Only

202-204, 480



Ch8: 51-52, 58


54-56


148, 154-155

Other Ancillaries


157, 159-160, 164-165, 166,169, 175-176, 179


177, 195

Chapter Summaries

Track: 8


Lesson 8.5

mcdougallittell.com

Lessons 6.7, 8.4-8.6, 9.1

PE/TE

205 (#8-9), 376 (#8, 14, 19),378 (#43, 50, 52), 384 (#23),483 (#12-17), 485, 486 (#53),487 (#58-60), 493 (#22-25),494 (#27-29, 32-34), 495 (#36-38), 496 (#7), 503 (#21-22, 25-27), 505 (#39), 519 (#12), 520(#8-9), 521 (#10), 527,531 (#10, 13-15), 532, 533(#33), 582 (#1-3), 818 (#39-41,44), 819 (#4-6, 17-18)



Ch8: 49, 51-52, 54, 55-57, 65,71


54-56


149, 155


54-56


50-52

Other Ancillaries


158-160, 165, 168, 170, 175-177, 179


50-51


177, 196


38A-38B, 39A-39B, 40A-40B







G.4.5 Prove and applytheorems involvingsegments dividedproportionally.

Example: In triangle ABC ,PQ

is parallel to BC .

What is the length of AQ

?

PE/TE

287-289, 311 (#12-15)



Ch5: 61


91

Other Ancillaries


96-98


106

Chapter Summaries

Track: 5


Lesson 5.4

mcdougallittell.com

Lesson 5.4

PE/TE

290-292, 293 (#37-38),301 (#46-49), 308 (#1-3),311 (#12-14), 328 (#60-63)



Ch5: 56-57, 58-60, 61, 64-65,66


92


31


32

Other Ancillaries


97-99


31


106


23A-23B, 25A-25B

A

P

4

Q

12

CB

18







G.4.6 Prove thattriangles are congruent orsimilar and use theconcept of correspondingparts of congruenttriangles.

Example: In the lastexample, prove thattriangles ABC and APQ aresimilar.

PE/TE

202-205, 211, 212-215, 220-221, 228, 229-230, 238, 253,480, 481 (Example 2), 488-489,517 (#10-12), 518 (#13-14)

TE Only

222, 482



Ch4: 27, 29, 33, 48-49, 62-63,88; Ch8: 59, 66, 73


54-56


65, 67-68, 70-71, 74, 76, 148-149, 151-153

Other Ancillaries


66-68, 70-72, 74-75, 78, 80, 82


76, 79-80, 81-82, 86, 178-179

Chapter Summaries

Tracks: 4, 8


Lessons 4.3, 8.5


Lesson 4.6

mcdougallittell.com

Lessons 4.2-4.5, 8.4-8.5

PE/TE

205-208, 209 (#39), 210 (#5),211, 216-218, 219 (#36-38),223-224, 225 (#26-27), 226,227 (#1-7), 228, 232-233,234 (#16), 235 (#23), 239 (#5-7,11-16), 241 (#33, 39), 253,255 (#8-16), 256 (#4-6),257 (#10-13), 480, 483 (#4-12),484 (#18-26), 485 (#33-34, 48),486 (#49-52), 492 (#1-5),493 (#9-18), 494 (#30-31)519 (#9, 11), 557 (#47-49),809 (#6, 9, 13-19), 810 (#20),818 (#36-38)



Ch4: 26, 27, 29-32, 36, 39, 45-47, 48-49, 51-52, 55, 59-61, 62-63, 65-66, 67, 70-71, 72-74, 84,85-87, 89, 93, 111-116; Ch8:49-52, 55-57, 59, 66-67, 70-72


54-56


66, 67, 69, 71-72, 73, 76, 149-150, 152-153


23-25, 54-55


24-27, 50-52

Other Ancillaries


62


67-69, 70-73, 74-76, 78, 80, 82


25-26, 50-51


78-80, 81-82, 83, 87, 90-95,178, 180


18A-18B, 19A-19B, 20A-20B,38A-38B, 40A-40B







G.4.7 Find and usemeasures of sides,perimeters, and areas oftriangles, and relate thesemeasures to each otherusing formulas.

Example: The gable end ofa house is a triangle 20 feetlong and 13 feet high. Findits area.

PE/TE

51, 52 (Example 2),54 (Example 6), 289 (Example5), 373, 375 (Example 6), 537,669



Ch9: 33


19, 118-119, 163-165

Other Ancillaries


98, 179-180


197

Chapter Summaries

Tracks: 5, 9

PE/TE

56 (#21, 30-31), 57 (#43-44,48), 58 (#7), 65 (#10), 291 (#28-29, 31), 376 (#8), 377 (#36),378 (#47-48, 52), 380 (#5), 385(#20), 538 (#6-15), 539, 566(#58-60)



Ch5: 69; Ch9: 29-31, 33


20, 118, 120, 163-165


7, 40, 59


8, 56

Other Ancillaries


68


98-99, 179-180


55


197


4A-4B, 29A-29B, 30A-30B,42A-42B







G.4.8 Prove,understand, and applythe inequality theorems:triangle inequality,inequality in one triangle,and hinge theorem.

Example: Can you draw atriangle with sides of length7 cm, 4 cm, and 15 cm?

PE/TE

294-298, 302-304, 312



Ch5: 76-77, 85, 91


94-95, 97, 99

Other Ancillaries


100, 102-103


108-109, 110

Chapter Summaries

Track: 5


Lessons 5.5-5.6

mcdougallittell.com

Lessons 5.5-5.6

PE/TE

294, 298-300, 301 (#35-38),305-307, 308 (#4-8), 312,313 (#12-14, 15-16), 812 (#23-37)



Ch5: 70-72, 73-75, 77, 79-80,83, 85-87, 88-90, 92, 94, 96,99, 101, 103


95-96, 98-99


32-33


33-34

Other Ancillaries


64


100-101, 102-103


32


109, 111-112, 114, 116, 118


24A-24B, 25A-25B







G.4.9 Use coordinategeometry to proveproperties of trianglessuch as regularity,congruence, andsimilarity.

Example: Draw a trianglewith vertices at (1, 3),(2, 5), and (6, 1). Drawanother triangle withvertices at (-3, -1), (-2, 1),and (2, -3). Are thesetriangles the same shapeand size?

PE/TE

244-246, 254 (#18)



Ch4: 98, 101, 106


81

Other Ancillaries


84, 86, 158


89

Chapter Summaries

Track: 4

PE/TE

246 (#4-5), 247 (#18-19),248 (#21, 26-27), 250 (#3),254 (#18), 484 (#29-32)



Ch4: 98, 101-104, 106, 108


81


27


28

Other Ancillaries


84, 86, 158


27


19A-19B







STANDARD 5 Right Triangles Students prove the Pythagorean Theorem and use it to solve problems. Theydefine and apply the trigonometric relations sine, cosine, and tangent.

G.5.1 Prove and use thePythagorean Theorem.

Example: On each side of aright triangle, draw a squarewith that side of the triangleas one side of the square.Find the areas of the threesquares. What relationshipis there between the areas?

PE/TE

535-537, 582



Ch9: 26, 32-33


163-165

Other Ancillaries


178-179


197-198

Chapter Summaries

Track: 9


Lesson 9.2

PE/TE

538-540, 566 (#58-60), 582 (#4-7), 585 (#12-13), 819 (#7-18)



Ch9: 26-28, 29-31, 32-33, 36


163-165


59


56

Other Ancillaries


70


178-180


55


197-198


42A-42B, 45A-45B







G.5.2 State and applythe relationships that existwhen the altitude isdrawn to the hypotenuseof a right triangle.

Example: In triangle ABCwith right angle at C, draw

the altitude CD from C toAB . Name all similartriangles in the diagram.Use these similar trianglesto prove the PythagoreanTheorem.

PE/TE

527-530, 582 (#1-3)



Ch9: 17-18


160-161

Other Ancillaries


175-176


195-196

Chapter Summaries

Track: 9

mcdougallittell.com

Lesson 9.1

PE/TE

531-533, 534 (#41-43), 549 (#1-4), 566 (#57), 582 (#1-3),585 (#1-6), 819 (#1-6)



Ch9: 12, 14-16, 18, 21


161-162


58


55

Other Ancillaries


175-177


54


196


42A-42B, 45A-45B







G.5.3 Use special righttriangles (30° - 60° and 45°- 45°) to solve problems.

Example: An isosceles righttriangle has one short sideof 6 cm. Find the lengths ofthe other two sides.

PE/TE

551-553, 583 (#12-15)



Ch9: 60-61


169-170

Other Ancillaries


183-185


202-203

Chapter Summaries

Track: 9

mcdougallittell.com

Lesson 9.4

PE/TE

554-556, 583 (#12-15),585 (#11), 820 (#28-30)



Ch9: 57-59


170-171


61


58

Other Ancillaries


184-186


202-203


43A-43B







G.5.4 Define and use thetrigonometric functions(sine, cosine, tangent,cosecant, secant,cotangent) in terms ofangles of right triangles.

Example: In triangle ABC,

tan A = 51

Find sin A and cot A.

PE/TE

558-559, 567-569, 584 (#16-21)



Ch9: 70-71, 75-76, 91-92


172-174, 175-176

Other Ancillaries


187-190, 192


204-205, 207-208

Chapter Summaries

Track: 9

mcdougallittell.com

Lessons 9.5-9.6

PE/TE

562 (#10-27), 564 (#43-45),567, 569 (#4-7, 14-21),571 (#28-33, 35-39), 580 (#1-6),584 (#16-21), 585 (#11-13), 586(#9), 589 (#29-30),820 (#31-39)



Ch9: 70-71, 72-74, 76, 79, 80,81, 84-85, 88-90, 91-92


173-174, 176-177


62-63


59-60

Other Ancillaries


72


188-191, 192


58-59


205-206, 207-208


43A-43B, 44A-44B

G.5.5 Know and use therelationshipsin2 x + cos2 x = 1.

Example: Show that, in aright triangle,sin2 x + cos2 x = 1 is anexample of the PythagoreanTheorem.

PE/TE

560 (Example 5)

TE Only

558-559

PE/TE

565 (#47-52)



62







G.5.6 Solve wordproblems involving righttriangles.

Example: The force ofgravity pulling an objectdown a hill is its weightmultiplied by the sine of theangle of elevation of thehill. What is the force on a3,000-pound car on a hillwith a 1 in 5 grade? (Agrade of 1 in 5 means thatthe hill rises one unit forevery 5 horizontal units.)

PE/TE

528 (Example 1),530 (Example 3),537 (Example 4),545 (Example 3), 553, 561, 569



Ch9: 76


174

Other Ancillaries


176, 179, 185, 190, 193


205

Chapter Summaries

Track: 9

PE/TE

525, 532 (#31-32), 534 (#43),538 (#6), 539 (#31-33),540 (#34), 545 (#7), 547 (#39-40), 549 (#8), 555 (#28-34),556 (#39-41), 563 (#37-39),564 (#40-42), 565 (#55),566 (#7), 571 (#34-41),572 (#42-45), 587 (#19-22),589 (#35)



Ch9: 29-31, 35, 45, 50, 52, 57-59, 63-64, 73-74, 76, 78-79, 81,88-90, 94


174


58

Other Ancillaries


185, 190, 193


59


201, 205, 206


43A-43B







STANDARD 6 Circles Students define ideas related to circles: e.g., radius, tangent. They find measures ofangles, lengths, and areas. They prove theorems about circles. They find equations of circles.

G.6.1 Find the center ofa given circle. Constructthe circle that passesthrough three givenpoints (not in a straightline).

Example: Given a circle,find its center by drawingthe perpendicular bisectorsof two chords.

PE/TE

605 (Example 5)

TE Only

595



181

PE/TE

610 (#53)



Ch10: 27, 35

G.6.2 Define andidentify relationshipsamong: radius, diameter,arc, measure of an arc,chord, secant, andtangent.

Example: What is the anglebetween a tangent to acircle and the radius at thepoint where the tangentmeets the circle?

PE/TE:

595-598, 603-605, 613

TE Only

606, 616



Ch10: 19-20, 31-32


75-76


181-183, 184-185

Other Ancillaries


200-202, 205-207


222-223, 224-225

Chapter Summaries

Track: 10

mcdougallittell.com

Lessons 10.1-10.2

PE/TE

599-600, 601 (#42-45), 607-609,620 (Quiz 1 #1-8), 821 (#1-15)



Ch10: 12-13, 15-18, 20, 22, 26-30, 32, 34


78


182-183, 185


65-66


62-63

Other Ancillaries


201-202, 206-207, 209


61-62


223-225


48A-48B







G.6.3 Prove theoremsrelated to circles.

Example: Prove that theangle subtended by a chordat the center of a circle istwice the angle at thecircumference.

PE/TE

597-598, 605-606, 613-615,621-622, 629-630

TE Only

595-596, 604, 616, 623, 631



Ch10: 19, 31, 45, 59, 73


181, 184, 187, 190, 193

Other Ancillaries


220, 222, 224, 227, 229

Chapter Summaries

Track: 10

mcdougallittell.com

Lessons 10.1-10.5

PE/TE

601 (#50-53), 610 (#56-62),618 (#35-37), 619 (#38-40),626 (#37-41), 634 (#31-32)

TE Only

607, 609, 617, 624-625, 632-633



Ch10: 36


65-69

Other Ancillaries


48A-48B, 49A-49B, 50A-50B

G.6.4 Construct tangentsto circles, andcircumscribe andinscribe circles.

Example: Draw an acutetriangle and construct thecircumscribed circle.

PE/TE

615, 621

TE Only

613-614, 616



Ch10: 45

PE/TE

618 (#30-34), 626 (#36)







G.6.5 Define, find, anduse measures of arcs andrelated angles (central,inscribed, andintersections of secantsand tangents).

Example: Find the measureof angle ABC in thediagram below.

PE/TE

612, 613-616, 621-623



Ch10: 45-46, 59-60


187-188, 190-192

Other Ancillaries


210-212, 214-216


224-225

Chapter Summaries

Track: 10


Lesson 10.3

mcdougallittell.com

Lessons 10.3-10.4

PE/TE

612, 616-617, 618 (#32, 34),619 (#42), 624-525, 626 (#36),627 (#42-43), 689 (#59-62), 821(#24-25), 822 (#26-32)



Ch10: 40-41, 42-44, 45-46, 48,50, 53, 55-58, 59-60, 62-63


187-188, 191-192


67-68


64-65

Other Ancillaries


211-212, 215-217


63


48A-48B, 50A-50B

G.6.6 Define andidentify congruent andconcentric circles.

Example: Are circles withthe same center always thesame shape? Are theyalways the same size?

PE/TE

595-596



Ch10: 19


181


220

PE/TE

599 (#17)

B

9C

9A

9150







G.6.7 Define, find, anduse measures ofcircumference, arclength, and areas ofcircles and sectors. Usethese measures to solveproblems.

Example: Which will giveyou more: three6-inch pizzas or two8-inch pizzas?Explain your answer.

PE/TE

51-52, 62 (#30-33), 683-685,691-694, 709 (#18-22),710 (#23-28)



Ch1: 103-104; Ch11: 62-63,78-79


19, 21, 211-213, 214-215

Other Ancillaries


18, 233-234, 237-238


15-16, 252-253, 254-255

Chapter Summaries

Tracks: 1, 11


Lesson 11.5

mcdougallittell.com

Lessons 11.4-11.5

PE/TE

55 (#1, 5, 7, 12, 16, 20),56 (#24, 26, 29, 36), 57 (#38-40, 45-47, 49), 58 (#6),62 (#31), 686-688, 689 (#48-55), 695-697, 698 (#43-45),709 (#18-22), 710 (#23-28),711 (#11-16, 19), 712 (#8-9),713 (#12), 726 (#68-70),758 (#46-49), 824 (#30-43)



Ch1: 95-98, 100-102; Ch11:56, 59-61, 62-63, 65-66, 69, 71-77, 79, 81-82, 100, 102, 104-105


20, 211-215


7, 75-76


8, 72-73

Other Ancillaries


234-236, 238, 240


7, 71


15-16, 252-253, 255


4A-4B, 5A-5B, 53A-53B, 54A-54B, 55A-55B







G.6.8 Find the equationof a circle in thecoordinate plane in termsof its center and radius.

Example: Find the equationof the circle with radius 10and center(6, -3).

PE/TE

636, 637 (Example 4),652 (#27-29)



Ch10: 89


196

Other Ancillaries


221


232

Chapter Summaries

Track: 10

mcdougallittell.com

Lesson 10.6

PE/TE

636, 638 (#3-6, 13-22),639 (#23-26, 43-44), 640 (#49),652 (#27-29), 653 (#18),822 (#43-44)



Ch10: 86-89


196


70


67

Other Ancillaries


221-222


66


232


49A-49B, 50A-50B







STANDARD 7 Polyhedra and Other Solids Students describe and make polyhedra and other solids. Theydescribe relationships and symmetries, and use congruence and similarity.

G.7.1 Describe andmake regular and non-regular polyhedra.

Example: Is a cube aregular polyhedron? Explainwhy or why not.

PE/TE

719-721



Ch12: 16


220

Other Ancillaries


224


268

Chapter Summaries

Track: 12

mcdougallittell.com

Lesson 12.1

PE/TE

723 (#1, 3-5, 10-12, 16-18),724, 725 (#39-42), 742 (#1-3),825 (#1-3)



Ch12: 11-12, 13-15, 19, 23, 26-28, 37


85


221


78-79


74-75

Other Ancillaries


244


74

G.7.2 Describe thepolyhedron that can bemade from a given net (orpattern). Describe the netfor a given polyhedron.

Example: Make a net for atetrahedron out of posterboard and fold it up to makethe tetrahedron.

PE/TE

727, 729, 736

PE/TE

727, 732 (#17-19), 739 (#26)



Ch12: 24, 26-28

Other Ancillaries


74







G.7.3 Describerelationships between thefaces, edges, and verticesof polyhedra.

Example: Count the sides,edges, and corners of asquare-based pyramid. Howare these numbers related?

PE/TE

721-722, 774 (#1-3)

TE Only

719-721



Ch12: 16-17


220-222

Other Ancillaries


244-246

Chapter Summaries

Track: 12

mcdougallittell.com

Lesson 12.1

PE/TE

723 (#6-9, 13-15), 724 (#20, 22,24), 725, 726 (#54-55), 742 (#1-3), 758 (#50-51), 774 (#1-3,777 (#1-3), 825 (#4-6)



Ch12: 12-15, 16-17, 19-20, 23,26-28, 36, 50, 108, 110, 112


221-222


78-79


75-76

Other Ancillaries


244-246


74-75


268-269, 274, 284, 286, 288


57A-57B, 60A-60B

G.7.4 Describesymmetries of geometricsolids.

Example: Describe therotation and reflectionsymmetries of a square-based pyramid.

An opportunity to address thisstandard may be found on thefollowing pages:

PE/TE

719-722

An opportunity to address thisstandard may be found on thefollowing pages:

PE/TE

723-726







G.7.5 Describe sets ofpoints on spheres: chords,tangents, and greatcircles.

Example: On Earth, is theequator a great circle?

PE/TE

714-715, 759-760



Ch12: 89-90

PE/TE

762 (#1, 3-6, 13), 714-715



80

Other Ancillaries


258


59A-59B

G.7.6 Identify and knowproperties of congruentand similar solids.

Example: Explain how thesurface area and volume ofsimilar cylinders arerelated.

PE/TE

766-768, 776 (#18-19)

TE Only

720, 730



Ch12: 101-102


238-239

Other Ancillaries


260-262


282-283

Chapter Summaries

Track: 12

mcdougallittell.com

Lesson 12.7

PE/TE

769-771, 776 (#18-19),777 (#13), 826 (#33-35)



Ch12: 25, 68, 96-97, 98-100,101-102


239-240


84


81

Other Ancillaries


260-262


74, 78


59A-59B, 60A-60B







G.7.7 Find and usemeasures of sides,volumes of solids, andsurface areas of solids,and relate these measuresto each other usingformulas.

Example: An ice cube isdropped into a glass that isroughly a right cylinder witha 6 cm diameter. The waterlevel rises1 mm. What is the volumeof the ice cube?

PE/TE

728-731, 735-737, 743-745,750-751, 752-754, 759-761,767-768, 775, 776 (#13-17)

TE Only

766



Ch12: 29-30, 44-45 60-61, 72-73, 89-90, 101-102


223-230, 232-237, 239

Other Ancillaries


247-252, 254-256, 258-259


270-271, 272-273, 275-276,277-278, 280-281

Chapter Summaries

Track: 12


Lesson 12.4

mcdougallittell.com

Lessons 12.2-12.7

PE/TE

731-733, 734 (#45-49), 738-741,742 (#4-6), 746-748, 749 (#48-50, 58-60), 750-751, 755-758,762-764, 765 (#45-49), 769 (#7-8), 770 (#17-20, 26-27), 772(#45-49), 72 (Quiz 3), 775 (#4-12), 776 (#13-17), 777, 778-779, 825 (#9-17), 826



Ch12: 26-28, 30, 32-33, 35-40,41-43, 45, 47-49, 50, 53-55, 57-59, 61, 63-64, 67-68, 69-71, 72-73, 75-77, 80-85, 86-88, 89-90,92-93, 96-97, 98-100, 101-102,108-114


224-225, 227-228, 230-234,236-237, 240


49-84, 88


75-80, 81

Other Ancillaries


74-75, 86-91


247-253, 255-259


77-79


271, 273-274, 276, 277-279,280-281, 284-290


57A-57B, 58A-58B, 59A-59B,60A-60B







STANDARD 8 Mathematical Reasoning and Problem Solving Students use a variety of strategies to solveproblems.

G.8.1 Use a variety ofproblem-solvingstrategies, such asdrawing a diagram,making a chart, guess-and-check, solving asimpler problem, writingan equation, and workingbackwards.

Example: How far does thetip of the minute hand of aclock move in 20 minutes ifthe tip is 4 inches from thecenter of the clock?

PE/TE

33, 53-54, 102, 135-136, 460,467, 664, 694, 783-784

TE Only

52, 137-138



Ch1: 103


59-61


19, 21

PE/TE

33, 56 (#34-37), 57 (#38-40, 49-50), 65 (#15-18), 75 (#7-8), 76(#25-28), 135, 367, 463 (#51-53, 59-61), 470 (#41-42), 542,666 (#39-40), 697 (#38-39)



Ch1: 104


59-61, 63


21

G.8.2 Decide whether asolution is reasonable inthe context of the originalsituation.

Example: John says theanswer to the problem inthe first example is “12inches.” Is his answerreasonable? Why or whynot?

PE/TE

TE Only

108, 142, 193, 211, 329, 371,472, 676, 690

PE/TE

82 (#2), 104 (#2), 108, 138(#10), 142, 161 (#29), 162(#32), 193, 205 (#2-3), 206(#23), 211, 216, 225 (#23-25),226 (#29), 228, 276(#18-19), 329, 360 (#34), 371,472, 676, 690



Ch4: 37; Ch6: 120; Ch9: 121;Ch10: 121

Other Ancillaries


58







Students develop and evaluate mathematical arguments and proofs.

G.8.3 Make conjecturesabout geometric ideas.Distinguish betweeninformation that supportsa conjecture and proof ofa conjecture.

Example: Calculate theratios of side lengths inseveral different-sizedtriangles with angles of 90°,50° and 40°. What do younotice about the ratios?How might you prove thatyour observation is true (orshow that it is false)?

PE/TE

4-5, 108, 110, 142, 193, 228,294, 329, 395, 403, 472, 497,514, 612, 628, 641, 676, 727

TE Only

237



Ch1: 17-18


1-2

Other Ancillaries


2-3


1-2

PE/TE

6 (#1-2), 7 (#29-32), 8 (#40-41),65 (#15-18), 66-67, 78 (#57-60),108, 110, 142, 155 (#36), 193,228, 236, 294, 329, 395, 403,472, 497 514, 542, 612, 628,641, 678, 727, 750-751



Ch1: 18, 24; Ch2: 21; Ch4: 27,79; Ch5: 56; Ch6: 99; Ch9:121; Ch10: 121


1, 3

Other Ancillaries


57


2-3


15, 26, 31, 35, 65, 78


2


2A-2B







G.8.4 Write andinterpret statements of theform “if – then” and “ifand only if.”

Example: Decide whetherthis statement is true: “Iftoday is Sunday, then wehave school tomorrow.”

PE/TE

71, 74, 80-81, 86, 87-88,118 (#1-4)

TE Only

72-73, 89-90



Ch2: 17, 33-34


22, 25, 26-28

Other Ancillaries


22, 24-27


26

Chapter Summaries

Track: 2

PE/TE

75 (#2-6, 9-13), 76 (#22-28),77 (#46-50, 52), 82 (#2-8), 83,84 (#47-48), 85 (#55-57, 67-68),86, 91 (#8, 11-13), 94 (#51),107 (#37-40), 118 (#1-2),363 (#54-56)



Ch2: 14-16, 18, 20-21, 24, 33-34, 36, 49, 99, 101, 103


22-23, 25-28


8-10


9-11

Other Ancillaries


22, 24-27


8-10, 26


27, 40, 42, 44


7A-7B







G.8.5 State, use, andexamine the validity of theconverse, inverse, andcontrapositive of “if –then” statements.

Example: In the lastexample, write the converseof the statement.

PE/TE

72-74, 87-89, 118 (#1-4)

TE Only

73



Ch2: 17


22-23, 29

Other Ancillaries


22, 24, 26-27


26

Chapter Summaries

Track: 2

PE/TE

75 (#1, 6), 76 (#18-24, 39),77 (#51-52), 78 (#55), 83 (#24-27, 32-37), 85 (#56-58, 67-68),91 (#3-5, 8-20), 92-93, 94 (#51-55), 118 (#1-2), 119 (#7-10)



Ch2: 14-16, 18, 20-21, 24, 36,49, 99, 101, 103


22-23, 25, 29


8, 10


9-10

Other Ancillaries


22, 24, 26-27, 30


27, 40, 42, 44


7A-7B







G.8.6 Identify and giveexamples of undefinedterms, axioms, andtheorems, and inductiveand deductive proof.

Example: Do you proveaxioms from theorems ortheorems from axioms?

PE/TE

10, 17, 89-90, 102, 827-832



Ch1: 29; Ch2: 47


4, 25-26, 30

Other Ancillaries


28-29


3, 31


Lesson 1.2

PE/TE

21 (#1), 92-93, 119 (#11-12)



Ch2: 42-45, 49


25-26


9-10

Other Ancillaries


54


28-29


33


3, 31


8A-8B







G.8.7 Construct logicalarguments, judge theirvalidity, and givecounterexamples todisprove statements.

Example: Find an exampleto show that triangles withtwo sides and one angleequal are not necessarilycongruent.

PE/TE

4, 71, 228

TE Only

72-73



Ch1: 18; Ch2: 18


3, 24

Other Ancillaries


2, 22, 24


2, 27

PE/TE

8 (#34-39, 41), 75 (#14-17),107 (#28-30), 121 (#5-8),162 (#32), 163 (#49-51)



Ch1: 18; Ch2: 18; Ch4: 80


3, 24


10

Other Ancillaries


2, 22, 24


2, 27







G.8.8 Write geometricproofs, including proofsby contradiction andproofs involvingcoordinate geometry. Useand compare a variety ofways to present deductiveproofs, such as flow chart,paragraph, two-column,and indirect.

Example: In triangle LMN,LM = LN Prove that ∠LMN≅ ∠LNM.

PE/TE

102, 135, 136, 138, 302-305

TE Only

137


Other Ancillaries

Chapter Summaries

Track: 2, 4, 5, 6, 9

PE/TE

Found throughout the text.See, for example:

105 (#6-7), 106 (#16-18),113 (#10-11, 18), 114 (#23-26),115 (#37), 116 (#7-8),121 (#17), 135, 139 (#17-18),140 (#19-24), 147 (#27),148 (#28-29), 149 (#5),154 (#28), 155 (#34-35),162 (#38), 200 (#47-48),208 (#35, 38), 217, 218 (#25-28), 224, 244 (#11-15), 234(#17-18), 240 (#26-28, 31), 269(#27-30), 305 (#1-2, 6), 306(#25), 307 (#26-27), 312 (#24-25), 533 (#34-36), 547 (#34-35),601 (#49-53), 619 (#38-40)



Ch2: 76, 100, 102, 104, 111;Ch4: 45-47, 51-52, 59-61, 62-63, 65, 67, 72-74, 75-76, 79,85-87, 102-104; Ch5: 31, 88-90; Ch6: 28-30, 40-42, 59-60;Ch9: 15-16; Ch10: 58


35, 50, 71-72, 73, 75, 77


23, 25


13, 26, 44

Other Ancillaries


35, 38, 45, 51


12


36, 41, 43, 45, 81-85, 87


9A-9B, 10A-10B, 12A-12B,13A-13B, 19A-19B, 20A-20B,25A-25B







G.8.9 Perform basicconstructions, describingand justifying theprocedures used.Distinguish betweenconstructing and drawinggeometric figures.

Example: Construct a lineparallel to a given linethrough a given point not onthe line, explaining andjustifying each step.

PE/TE

34, 36, 43, 104, 110, 130, 159,193, 213, 228, 231, 263, 264,286, 294, 329, 371, 497, 500,641, 690



Ch1: 82-83

PE/TE

Found throughout the text.See, for example,

34, 36, 38 (#14-16), 39 (#34-36,43), 43, 105 (#12-15), 110, 115(#32), 130, 134 (#39-40), 155(#36), 159, 161 (#25-28), 163(#40), 193, 213, 218 (#29, 32),228, 231, 234 (#19-21), 235(#24), 249 (#29-31), 263, 264,268 (#14-15), 270 (#36), 272,275 (#5-9), 283 (#24-27), 286,294, 329, 344 (#30),353 (#53-54), 361 (#43-45),371, 413, 497, 500, 505 (#40),610 (#54-55), 618 (#30-34),641, 666 (#26-28), 690



Ch1: 82-83; Ch2: 26-28, 70-72,86-88; Ch4: 14, 27-29, 44, 57-58, 99-101; Ch5: 13-16, 17-19,28, 41-42, 85-87; Ch6: 13, 26-27, 55-57, 99-101; Ch9: 12-13,41-43; Ch11: 27-29

Other Ancillaries


26, 29, 37

Indiana Academic Standards for Geometry - McDougal … · McDougal Littell Geometry © 2004 ......

Documents

Transcript of Indiana Academic Standards for Geometry - McDougal … · McDougal Littell Geometry © 2004 ......