Indiana Academic Standards for Geometry

Transcription

correlated to the
Indiana
Academic Standards for
Geometry
CC2
6/2003
2004
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 and
flexible for the teacher. Lessons include many features that provide learning support for a variety of
students.
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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 program
components is provided on the following page.
Components
Pupil’s Edition
Teacher’s Edition
Teacher’s Resource Package
Chapter Resource Books 1–12
Worked-out Solution Key
Basic Skills Workbook: Diagnosis and Remediation,
Teacher’s Edition
Practice Workbook with Examples, Teacher’s
Edition
Standardized Test Practice Workbook, Teacher’s
Edition
Warm-up Transparencies and Daily Homework Quiz
Online Lesson Planner User’s Guide
Transparencies:
Extra Example Transparencies with Standardized
Test Practice
Answer Transparencies for Checking Homework
Starting Points: Alternative Lesson Opener
Transparency Package
Workbooks:
Basic Skills Workbook: Diagnosis and Remediation,
Pupil’s Edition
Practice Workbook with Examples, Pupil’s Edition
Standardized Test Practice Workbook, Pupil’s
Edition
Explorations and Projects Book
World Languages Resources
Resources in Spanish
Multi-Language Glossary
English-Spanish Chapter Reviews and Tests
Exercises in Spanish
Technology:
Test and Practice Generator CD-ROM
Geometry in Motion Video
Geometry Interactive Review Games CD-ROM
Power Presentations CD-ROM
Easy Planner CD-ROM
Personal Student Tutor CD-ROM
Chapter Audio Summaries in
English/Spanish/Haitian Creole
correlated to
The Indiana Academic Standards for Geometry
INSTRUCTION
APPLICATION
Pupil’s Edition and
Teacher’s Edition
Print Ancillaries,
Transparencies and
Technology
STANDARD 1 Points, Lines, Angles, and Planes Students find lengths and midpoints of lines. They describe
and use parallel and perpendicular lines. They find slopes and equations of lines.
PE/TE
PE/TE
G.1.1 Find the lengths
17-20, 34-35, 61 (#10-13), 62
21-23, 24 (#55-59), 25 (#7), 38
Chapter Resource Books
and midpoints of line
(#20-25)
(#3-6, 17-24), 39 (#43), 42 (#63- Ch1: 37-40, 42, 44-45, 47-48,
segments in one- or two68), 50 (#70-75), 61 (#10-13),
dimensional coordinate
51, 69-73, 76-77, 80, 121-122;
62 (#20-22), 63 (#6-9, 15-16),
Ch2: 72
systems.
64 (#4, 7), 78 (#65-70), 101
Example: Find the length
and midpoint of the line
joining the points A (3, 8)
and B (9, 0).
Ch1: 41-42, 72
Practice Workbook with
Examples TE
7, 13-14
Other Ancillaries
(#35-44), 163 (#43-48), 209
(#41-52), 242 (#48-53), 487
(#61), 505 (#41-46), 635 (#4045), 803 (#14-19)
Extra Examples
Transparencies with
Standardized Test Practice
6-8, 11
5-6, 10
Chapter Summaries
Track: 1
mcdougallittell.com
Lessons 1.3, 1.5
Examples TE
8-9, 13-14
Workbook TE
3, 5
Warm-Up Transparencies and
Daily Homework Quiz
4, 6
Other Ancillaries
Extra Examples
Transparencies with
6-8, 11
Starting Points: Alternative
Lesson Opener Transparency
Package
3
5-6, 10
English/Spanish Reviews and
Tests
3A-3B, 4A-4B, 5A-5B
PE = Pupil’s Edition, TE = Teacher’s Edition
Selected exercises are referenced in parentheses, otherwise entire page is applicable.
1
McDougal Littell Geometry © 2004 correlated to
INSTRUCTION
APPLICATION
Teacher’s Edition
G.1.2 Construct
congruent segments and
angles, angle bisectors,
and parallel and
perpendicular lines using
a straight edge and
compass, explaining and
justifying the process
used.
Example: Construct the
perpendicular bisector of a
given line segment,
justifying each step of the
process.
PE/TE
33-34, 36, 104, 130, 142, 159,
231, 263-264
TE Only
35
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)
Ch2: 70
Other Ancillaries
Print Ancillaries,
Transparencies and
Technology
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
Package
18, 28
Chapter Summaries
Tracks: 1, 2, 3, 4, 5
mcdougallittell.com
Lessons 1.5, 2.5, 3.1-3.5, 4.5,
5.1
2
INSTRUCTION
APPLICATION
Teacher’s Edition
G.1.3 Understand and
use the relationships
between special pairs of
angles formed by parallel
lines and transversals.
PE/TE
142, 143-144, 145 (Example 4),
150-152, 157-158, 181 (#7-10)
TE Only:
159
Example: In the diagram,
the lines k and l are
parallel. What is the
measure of angle x?
Explain your answer.
1
1
x
PE/TE
142, 146-148, 149 (#6-9), 153155, 156 (#37-39), 160 (#1113), 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: 43-44, 60-61, 73-74
Examples TE
46-47, 49-50, 52-53
k
l
Print Ancillaries,
Transparencies and
Technology
Ch3: 37, 40-42, 43-44, 46-48,
51-52, 53, 57-59, 61, 63-64, 69,
70-72, 73-74
Examples TE
42, 47-48, 50-51, 53-54
Workbook TE
16-18
Daily Homework Quiz
17-19
Other Ancillaries
Extra Examples
Transparencies with
47-48, 50-52, 54-55
53-54, 56-59
Electronic Lesson
Presentations CD-ROM
Lesson 3.3
Chapter Summaries
Track: 3
Lesson 3.1, 3.3
mcdougallittell.com
Lessons 3.3-3.5
Other Ancillaries
Explorations and Projects
Book
58
Extra Examples
Transparencies with
47-49, 51-55
Package
16-18
53-54, 57-59
Tests
13A-13B
3
INSTRUCTION
APPLICATION
Teacher’s Edition
G.1.4 Use coordinate
geometry to find slopes,
parallel lines,
perpendicular lines, and
equations of lines.
Example: Find an equation
of a line perpendicular to
y = 4x – 2.
PE/TE
124 (Example 2), 125, 165-167,
172-174, 182, 795
Ch3: 88, 88 (Example 2), 103
Basic Skills Workbook with
Examples TE
86-88
Examples TE
55-57, 58-60
PE/TE
124 (#13-27), 125, 168-170, 171
(#55-56), 175-177, 178 (#1-6),
182, 183 (#12-13), 184 (#4, 67), 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)
Other Ancillaries
Extra Examples
Transparencies with
56-57, 59-61
61-62, 63
Chapter Summaries
Track: 3
mcdougallittell.com
Lessons 3.6-3.7
Print Ancillaries,
Transparencies and
Technology
Ch3: 83, 85-87, 89, 95-97, 99,
100-102, 104, 107-108, 111,
113, 115
Examples TE
86-88, 90
Examples TE
55-57, 59-60
Workbook TE
19-20
Daily Homework Quiz
20-21
Other Ancillaries
Book
59
Extra Examples
Transparencies with
57, 59-60, 61-62
Package
19-20
61-62, 64
Tests
14A-14B, 15A-15B
4
INSTRUCTION
APPLICATION
Teacher’s Edition
Print Ancillaries,
Transparencies and
Technology
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.
PE/TE
PE/TE
G.2.1 Identify and
325 (#3), 326 (#19-20, 31-32,
describe convex, concave, 323, 382 (#1-5)
35-36), 327 (#48-51), 328 (#52), Ch6: 14-18
and regular polygons.
TE Only:
322, 324
Example: Draw a regular
hexagon. Is it convex or
concave? Explain your
answer.
382 (#1-2)
Ch6: 17
Examples TE
100-101
Other Ancillaries
Extra Examples
Transparencies with
104-105
122-123
Chapter Summaries
Track: 6
mcdougallittell.com
Lesson 6.1
Examples TE
101
Workbook TE
34
Daily Homework Quiz
35
Other Ancillaries
Extra Examples
Transparencies with
105-106
122-123
Tests
27A-27B
5
INSTRUCTION
APPLICATION
Teacher’s Edition
G.2.2 Find measures of
interior and exterior
angles of polygons,
justifying the method
used.
Example: Calculate the
measure of one interior
angle of a regular octagon.
Explain your method.
PE/TE
661-664, 708 (#1-8)
PE/TE
661, 665, 66 (#29-32, 41-44),
667, 668 (#58-60, 62), 683 (#12), 708 (#1-8), 711 (#1-4), 758
(#40-45), 823 (#1-7)
Ch11: 17-18
Examples TE
102, 202-204
Other Ancillaries
Extra Examples
Transparencies with
226-228
245-246
Chapter Summaries
Track: 11
Lesson 4.1, 11.1
mcdougallittell.com
Lesson 11.1
Print Ancillaries,
Transparencies and
Technology
Ch11: 12-13, 14-16, 17-18, 2021, 25, 52
Examples TE
102, 203-204
Workbook TE
72
Daily Homework Quiz
69
Other Ancillaries
Extra Examples
Transparencies with
226-228
Package
68
245-246
Tests
52A-52B, 55A-55B
6
INSTRUCTION
APPLICATION
Teacher’s Edition
G.2.3 Use properties of
congruent and similar
polygons to solve
problems.
Example: Divide a regular
hexagon into triangles by
joining the center to each
vertex. Show that these
triangles are all the same
size and shape, and so find
the sizes of the interior
angles of the hexagon.
PE/TE
472, 473-474, 517 (#7-9)
PE/TE
472, 475-477, 478 (#45, 49-52),
479, 517 (#8), 817 (#27)
Ch8: 37, 41-42
Examples TE
147
Other Ancillaries
Extra Examples
Transparencies with
153-155
174-175
Chapter Summaries
Track: 8
mcdougallittell.com
Lesson 8.3
Print Ancillaries,
Transparencies and
Technology
Ch8: 38-40, 41-42, 45-46
Examples TE
147
Workbook TE
53
Daily Homework Quiz
50
Other Ancillaries
Extra Examples
Transparencies with
153-156
174-175
Tests
38A-38B, 40A-40B
7
INSTRUCTION
APPLICATION
Teacher’s Edition
G.2.4 Apply
transformations (slides,
flips, turns, expansions,
and contractions) to
polygons in order to
determine congruence,
similarity, symmetry, and
tessellations. Know that
images formed by slides,
flips and turns are
congruent to the original
shape.
Example: Use a drawing
program to create regular
hexagons, regular octagons,
and regular pentagons.
Under the drawings,
describe which of the
polygons would be best for
tiling 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
Examples TE
121-123, 126, 127-128
PE/TE
395, 399 (#8-11, 14-17), 400
(#32-35), 401 (#43), 402 (#46),
403, 407 (#12-14), 408 (#3132), 409 (#44-49), 410 (#51),
411, 416 (#5, 10-12), 417 (#2021), 418 (#36-38), 426 (#20-24,
37-42), 452-453, 471 (#57), 815
(#3-4)
TE Only:
425
Print Ancillaries,
Transparencies and
Technology
Ch7: 12-15, 16-17, 19, 23, 2728, 29-31, 32-33, 35, 40, 41,
43-45
Examples TE
121-123, 126, 128-129
Workbook TE
45-47
Daily Homework Quiz
42-44
Other Ancillaries
Extra Examples
Transparencies with
126, 130-131, 133, 135, 137
147-148, 149-150, 151-152
Chapter Summaries
Track: 7
mcdougallittell.com
Lessons 7.1-7.3
Other Ancillaries
Extra Examples
Transparencies with
130-131, 133, 135
Package
41-43
147-148, 149-150, 151-152
Tests
32A-32B, 33A-33B, 35A-35B
8
INSTRUCTION
APPLICATION
Teacher’s Edition
G.2.5 Find and use
measures of sides,
perimeters, and areas of
polygons, and relate these
measures to each other
using formulas.
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
Example: A rectangle of
area 360 square yards is ten
times as long as it is wide.
Find its length and width.
Ch6: 105-106; Ch11: 33-34,
46-47
Examples TE
101-104
Examples TE
19-20, 118, 205-207, 208-209
PE/TE
55-56, 57 (#41-44, 48, 50), 58
(#7-10), 62 (#30, 32-33), 65
(#15-18), 370 (#55-60), 376379, 380 (#4-7), 384 (#23-25),
385 (#20), 471 (#47-49), 672673, 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, 4647), 814 (#47-49), 823 (#20-25)
Other Ancillaries
Extra Examples
Transparencies with
122-124, 229, 231
136-137
Chapter Summaries
Tracks: 6, 11
mcdougallittell.com
Lessons 6.7, 11.2-11.3
Print Ancillaries,
Transparencies and
Technology
Ch6: 95-98, 99, 101, 103-104,
106; Ch11: 26-29, 30-32, 3334, 36-37, 40-42, 43-45, 46-47,
49-51, 52
Examples TE
102-104
Examples TE
20, 119-120, 206-207, 208-210
Workbook TE
7, 40, 73-74
Daily Homework Quiz
8, 40-41, 70-71
Other Ancillaries
Book
68
Extra Examples
Transparencies with
116, 122-125, 229-230, 237
Package
40, 69-70
137
Tests
4A-4B, 29A-29B, 52A-52B,
53A-53B, 55A-55B
9
INSTRUCTION
APPLICATION
Teacher’s Edition
geometry to prove
properties of polygons
such as regularity,
congruence, and
similarity.
Example: Do these four
points form a square:
(2, 1), (6, 2), (5, 6), (1, 5)?
PE/TE
341, 350 (Example 5), 357
(Example 2), 365
Ch6: 43-44
Examples TE
107
PE/TE
343 (#21-26), 344 (#34-36), 363
(#2-5), 354 (#55-58, 59-60), 355
(#69-72), 360 (#36-38), 363 (#25), 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)
Other Ancillaries
Extra Examples
Transparencies with
113, 115, 117, 120
126-127
Chapter Summaries
Track: 6
mcdougallittell.com
Lessons 6.3-6.6
Print Ancillaries,
Transparencies and
Technology
Ch6: 41-42, 44, 59
Examples TE
108
Workbook TE
37-38
Daily Homework Quiz
37, 39-40
Other Ancillaries
Book
66
Extra Examples
Transparencies with
113, 117
127
Tests
28A-28B
10
INSTRUCTION
APPLICATION
Teacher’s Edition
STANDARD 3 Quadrilaterals Students identify and describe simple quadrilaterals.
similarity. They find measures of sides, perimeters, and areas.
PE/TE
G.3.1 Describe, classify, PE/TE
329,
330-333,
347-349,
356329, 333 (#1-3), 337 (#62-64),
and understand
358, 364
351, 359 (#1-6, 10-15), 361
relationships among the
(#43), 362 (#52), 367 (#16-29),
TE Only
quadrilaterals square,
369 (#45-47), 383 (#13-15), 385
rectangle, rhombus,
365
(#10-16), 386 (#4), 389 (#29),
parallelogram, trapezoid,
477 (#31-38), 814 (#25-30)
and kite.
Example: Use a draw
program to create a square,
rectangle, rhombus,
parallelogram, trapezoid,
and kite. Judge which of the
quadrilaterals has
perpendicular diagonals and
draw those diagonals in the
figures. Give a convincing
argument that your
judgment is correct.
Ch6: 31, 61, 74
Examples TE
72
Examples TE
102-103, 105-106, 109-111,
112-114, 115-117
Other Ancillaries
Extra Examples
Transparencies with
114-116, 120-121
124, 129, 131
Chapter Summaries
Track: 6
Electronic Lesson
Lesson 6.4
Lessons 6.2, 6.4-6.6
Print Ancillaries,
Transparencies and
Technology
They use congruence and
Ch6: 28-30, 53, 58-60, 61, 71,
79, 82-83, 84-86
Examples TE
72
Examples TE
104-105, 110-111, 113-114,
116-117
Workbook TE
35, 37-39
Daily Homework Quiz
36-40
Other Ancillaries
Book
65-67
Extra Examples
Transparencies with
114-116, 120-121
Package
35, 37-39
129, 133
Tests
27A-27B, 28A-28B, 29A-29B,
30A-30B
11
INSTRUCTION
APPLICATION
Teacher’s Edition
quadrilaterals to solve
problems involving
lengths and areas.
Example: Of two similar
rectangles, the second has
sides three times the length
of the first. How many times
larger in area is the second
rectangle?
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
Examples TE
208-209
PE/TE
333 (#4-5, 8-9, 12-15), 334
(#20-22, 26, 28-29, 31-34, 36),
352 (#36-38), 360 (#22-24, 2830), 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 (#1317), 814 (#38-43), 817 (#28),
823 (#26-29)
TE Only
476
Other Ancillaries
Extra Examples
Transparencies with
153-155, 229, 231
130, 249-250
Chapter Summaries
Track: 6, 8, 11
mcdougallittell.com
Lesson 11.3
Print Ancillaries,
Transparencies and
Technology
Ch6: 54, 58, 62, 65, 71-75;
Ch8: 36, 38-40, 45-46; Ch11:
46-47, 51-52
Examples TE
209-210
Workbook TE
38, 53, 74
Daily Homework Quiz
50, 71
Other Ancillaries
Book
68
Extra Examples
Transparencies with
154-156, 229-230, 232
Package
70
131-132, 176
Tests
28A-28B, 38A-38B, 53A-53B
12
INSTRUCTION
APPLICATION
Teacher’s Edition
G.3.3 Find and use
measures of sides,
quadrilaterals, and relate
these measures to each
other using formulas.
Example: A section of roof
is a trapezoid with length 4
m at the ridge and 6 m at
the gutter. The shortest
distance from ridge to gutter
is 3 m. Construct a model
using a computer draw
program showing how to
find the area of this section
of roof.
PE/TE
51, 52 (Example 3), 53-54,
371, 372-375, 384 (#23-25)
Ch6: 95, 105
Examples TE
101-104
Examples TE
20, 118-119
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 (#6264), 456 (#1-3), 471 (#47-49),
534 (#49-51), 814 (#47-49)
Other Ancillaries
Extra Examples
Transparencies with
122-124
136-137
Chapter Summaries
Track: 6
mcdougallittell.com
Lesson 6.7
Print Ancillaries,
Transparencies and
Technology
Ch6: 60, 96-97, 98-99, 102103, 106, 123
Examples TE
102-104
Examples TE
20, 119-120
Workbook TE
7, 40
Daily Homework Quiz
8, 40-41
Other Ancillaries
Book
68
Extra Examples
Transparencies with
116, 122, 124-125, 154-155
Package
40
137
Tests
4A-4B, 29A-29B
13
INSTRUCTION
APPLICATION
Teacher’s Edition
geometry to prove
properties of
quadrilaterals such as
regularity, congruence,
and similarity.
PE/TE
330, 341, 350 (Example 5), 384
(#19-22)
TE Only
354
Example: Do these four
points form a kite:
(0, 0), (6, 0), (4, 2), (5, 2)?
Ch6: 43-44, 87-88
Examples TE
107, 117
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 (#1922), 385 (#17), 386 (#5, 7), 389
(#27), 436 (#45-47), 541 (#5556), 602 (#59-60), 611 (#74-75),
813 (#21-24)
Print Ancillaries,
Transparencies and
Technology
Ch6: 41-42, 44, 59, 84-86, 88
Examples TE
108, 117
Workbook TE
35-36
Daily Homework Quiz
37, 39-40
Other Ancillaries
Other Ancillaries
Extra Examples
Transparencies with
113, 117, 120
126-127, 134-135
Chapter Summaries
Track: 6
mcdougallittell.com
Lesson 6.6
Book
66
Extra Examples
Transparencies with
113, 117
127
Tests
29A-29B
14
INSTRUCTION
APPLICATION
Teacher’s Edition
Print Ancillaries,
Transparencies and
Technology
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.
PE/TE
PE/TE
G.4.1 Identify and
198-199, 201 (#50), 210 (#1-3),
describe triangles that are 194-197, 236-237, 525 (#1-6),
544 (Example 2)
235 (#34-36), 236, 240 (#27-28,
right, acute, obtuse,
Ch4: 11, 13, 15-17, 18, 83-84,
29), 252 (#1-5), 255 (#1-6), 308
TE Only
scalene, isosceles,
111, 113, 115; Ch9: 44-46, 48,
(#32-37), 363 (#54), 534 (#4751
equilateral, and
543-544
48), 545 (#3-6), 546 (#14-25),
equiangular.
809 (#1-4), 821 (#22-27)
Example: Use a draw
program to create examples
of a right, acute, obtuse,
scalene, isosceles,
equilateral, and equiangular
triangle. Identify and
describe the attributes of
each triangle.
Ch4: 18, 84, 88; Ch9: 47
Examples TE
71
Examples TE
61-62, 76-77, 166-167
Examples TE
71
Examples TE
62, 78, 167
Workbook TE
21, 60
Daily Homework Quiz
21-22, 26, 57
Other Ancillaries
Extra Examples
Transparencies with
63, 181
74, 86, 199-200
Chapter Summaries
Tracks: 4, 9
mcdougallittell.com
Lesson 4.1
Other Ancillaries
Book
60, 71
Extra Examples
Transparencies with
181
Package
21, 26, 56
75, 90, 92, 94, 200
Tests
17A-17B, 19A-19B, 20A-20B,
43A-43B
15
INSTRUCTION
APPLICATION
Teacher’s Edition
G.4.2 Define, identify,
and construct altitudes,
medians, angle bisectors,
and perpendicular
bisectors.
Example: Draw several
triangles. Construct their
angle bisectors. What do
you notice?
PE/TE
265-266, 272-274, 279, 281,
286, 310 (#4-5), 311 (#6-11),
527
TE Only
528-529
PE/TE
267 (#1-7), 268 (#14-15), 275
(#5-13), 276 (#18-21), 282 (#37), 283 (#24-29), 284 (#34-38),
286, 293 (#50, 52), 308 (#42),
313 (#4-5, 8, 11), 527, 533
(Using Technology), 811 (#1315)
Ch5: 20-21, 32-33, 46
Examples TE
82-83, 85, 87-88
Other Ancillaries
Example: Construct a
triangle given the lengths of
two sides and the measure
of the angle between the
two sides.
PE/TE
211, 213, 228, 231 (Example 4)
TE Only
202
Ch5: 12-16, 17-19, 21, 23-24,
27-28, 29-31, 35, 39, 41-42, 4345, 46, 49, 52
Examples TE
83-84, 86-87, 89
Workbook TE
28-30
Daily Homework Quiz
29-30
Other Ancillaries
Extra Examples
Transparencies with
88-89, 92
99-100, 101-102, 103
Chapter Summaries
Track: 5
Electronic Lesson
Lesson 5.3
Lessons 5.2, 5.3
mcdougallittell.com
Lessons 5.2-5.3
G.4.3 Construct
triangles congruent to
given triangles.
Print Ancillaries,
Transparencies and
Technology
Book
63
Extra Examples
Transparencies with
88-90, 92-93
Package
28-29
100, 102-103, 105
Tests
22A-22B, 23A-23B, 25A-25B
PE/TE
211, 213, 218 (#29, 32), 225
(#26-27), 228
Ch4: 44
Ch4: 44
16
INSTRUCTION
APPLICATION
Teacher’s Edition
triangles to solve
problems involving
lengths and areas.
Example: Of two similar
triangles, the second has
sides half the length of the
first. The area of the first
triangle is 20 cm2. What is
the 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
Examples TE
54-56
Examples TE
148, 154-155
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 (#3638), 496 (#7), 503 (#21-22, 2527), 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)
Print Ancillaries,
Transparencies and
Technology
Ch8: 49, 51-52, 54, 55-57, 65,
71
Examples TE
54-56
Examples TE
149, 155
Workbook TE
54-56
Daily Homework Quiz
50-52
Other Ancillaries
Other Ancillaries
Extra Examples
Transparencies with
157, 159-160, 164-165, 166,
169, 175-176, 179
177, 195
Chapter Summaries
Track: 8
Electronic Lesson
Lesson 8.5
mcdougallittell.com
Lessons 6.7, 8.4-8.6, 9.1
Extra Examples
Transparencies with
158-160, 165, 168, 170, 175177, 179
Package
50-51
177, 196
Tests
38A-38B, 39A-39B, 40A-40B
17
INSTRUCTION
APPLICATION
Teacher’s Edition
PE/TE
287-289, 311 (#12-15)
G.4.5 Prove and apply
theorems involving
segments divided
proportionally.
ABC ,
Example: In triangle
PQ
BC .
is parallel to
What is the length of
AQ
A
4
P
12
B
Q
18
C
?
PE/TE
290-292, 293 (#37-38),
301 (#46-49), 308 (#1-3),
311 (#12-14), 328 (#60-63)
Ch5: 61
Examples TE
91
Other Ancillaries
Extra Examples
Transparencies with
96-98
106
Chapter Summaries
Track: 5
Lesson 5.4
mcdougallittell.com
Lesson 5.4
Print Ancillaries,
Transparencies and
Technology
Ch5: 56-57, 58-60, 61, 64-65,
66
Examples TE
92
Workbook TE
31
Daily Homework Quiz
32
Other Ancillaries
Extra Examples
Transparencies with
97-99
Package
31
106
Tests
23A-23B, 25A-25B
18
INSTRUCTION
APPLICATION
Teacher’s Edition
G.4.6 Prove that
triangles are congruent or
similar and use the
concept of corresponding
parts of congruent
triangles.
Example: In the last
example, prove that
triangles ABC and APQ are
similar.
PE/TE
202-205, 211, 212-215, 220221, 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
Examples TE
54-56
Examples TE
65, 67-68, 70-71, 74, 76, 148149, 151-153
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)
Other Ancillaries
Extra Examples
Transparencies with
66-68, 70-72, 74-75, 78, 80, 82
76, 79-80, 81-82, 86, 178-179
Chapter Summaries
Tracks: 4, 8
Electronic Lesson
Lessons 4.3, 8.5
Lesson 4.6
mcdougallittell.com
Lessons 4.2-4.5, 8.4-8.5
Print Ancillaries,
Transparencies and
Technology
Ch4: 26, 27, 29-32, 36, 39, 4547, 48-49, 51-52, 55, 59-61, 6263, 65-66, 67, 70-71, 72-74, 84,
85-87, 89, 93, 111-116; Ch8:
49-52, 55-57, 59, 66-67, 70-72
Examples TE
54-56
Examples TE
66, 67, 69, 71-72, 73, 76, 149150, 152-153
Workbook TE
23-25, 54-55
Daily Homework Quiz
24-27, 50-52
Other Ancillaries
Book
62
Extra Examples
Transparencies with
67-69, 70-73, 74-76, 78, 80, 82
Package
25-26, 50-51
78-80, 81-82, 83, 87, 90-95,
178, 180
Tests
18A-18B, 19A-19B, 20A-20B,
38A-38B, 40A-40B
19
INSTRUCTION
APPLICATION
Teacher’s Edition
G.4.7 Find and use
measures of sides,
triangles, and relate these
measures to each other
using formulas.
PE/TE
51, 52 (Example 2),
54 (Example 6), 289 (Example
5), 373, 375 (Example 6), 537,
669
Ch9: 33
Examples TE
19, 118-119, 163-165
Ch5: 69; Ch9: 29-31, 33
Examples TE
20, 118, 120, 163-165
Workbook TE
7, 40, 59
Daily Homework Quiz
8, 56
Other Ancillaries
Other Ancillaries
Extra Examples
Transparencies with
98, 179-180
197
Chapter Summaries
Tracks: 5, 9
Book
68
Extra Examples
Transparencies with
98-99, 179-180
Package
55
197
Tests
4A-4B, 29A-29B, 30A-30B,
42A-42B
Example: The gable end of
a house is a triangle 20 feet
long and 13 feet high. Find
its area.
PE/TE
56 (#21, 30-31), 57 (#43-44,
48), 58 (#7), 65 (#10), 291 (#2829, 31), 376 (#8), 377 (#36),
378 (#47-48, 52), 380 (#5), 385
(#20), 538 (#6-15), 539, 566
(#58-60)
Print Ancillaries,
Transparencies and
Technology
20
INSTRUCTION
APPLICATION
Teacher’s Edition
G.4.8 Prove,
understand, and apply
the inequality theorems:
triangle inequality,
inequality in one triangle,
and hinge theorem.
Example: Can you draw a
triangle with sides of length
7 cm, 4 cm, and 15 cm?
PE/TE
294-298, 302-304, 312
PE/TE
294, 298-300, 301 (#35-38),
305-307, 308 (#4-8), 312,
313 (#12-14, 15-16), 812 (#2337)
Ch5: 76-77, 85, 91
Examples TE
94-95, 97, 99
Other Ancillaries
Extra Examples
Transparencies with
100, 102-103
108-109, 110
Chapter Summaries
Track: 5
Lessons 5.5-5.6
mcdougallittell.com
Lessons 5.5-5.6
Print Ancillaries,
Transparencies and
Technology
Ch5: 70-72, 73-75, 77, 79-80,
83, 85-87, 88-90, 92, 94, 96,
99, 101, 103
Examples TE
95-96, 98-99
Workbook TE
32-33
Daily Homework Quiz
33-34
Other Ancillaries
Book
64
Extra Examples
Transparencies with
100-101, 102-103
Package
32
109, 111-112, 114, 116, 118
Tests
24A-24B, 25A-25B
21
INSTRUCTION
APPLICATION
Teacher’s Edition
geometry to prove
properties of triangles
such as regularity,
congruence, and
similarity.
Example: Draw a triangle
with vertices at (1, 3),
(2, 5), and (6, 1). Draw
another triangle with
vertices at (-3, -1), (-2, 1),
and (2, -3). Are these
triangles the same shape
and size?
PE/TE
244-246, 254 (#18)
PE/TE
246 (#4-5), 247 (#18-19),
248 (#21, 26-27), 250 (#3),
254 (#18), 484 (#29-32)
Ch4: 98, 101, 106
Examples TE
81
Other Ancillaries
Extra Examples
Transparencies with
84, 86, 158
89
Chapter Summaries
Track: 4
Print Ancillaries,
Transparencies and
Technology
Ch4: 98, 101-104, 106, 108
Examples TE
81
Workbook TE
27
Daily Homework Quiz
28
Other Ancillaries
Extra Examples
Transparencies with
84, 86, 158
Package
27
Tests
19A-19B
22
INSTRUCTION
APPLICATION
Teacher’s Edition
Print Ancillaries,
Transparencies and
Technology
STANDARD 5 Right Triangles Students prove the Pythagorean Theorem and use it to solve problems. They
define and apply the trigonometric relations sine, cosine, and tangent.
PE/TE
G.5.1 Prove and use the PE/TE
535-537,
582
538-540,
566
(#58-60),
582
(#4Chapter Resource Books
Pythagorean Theorem.
7), 585 (#12-13), 819 (#7-18)
Example: On each side of a
right triangle, draw a square
with that side of the triangle
as one side of the square.
Find the areas of the three
squares. What relationship
is there between the areas?
Ch9: 26, 32-33
Examples TE
163-165
Other Ancillaries
Extra Examples
Transparencies with
178-179
197-198
Chapter Summaries
Track: 9
Electronic Lesson
Lesson 9.2
Ch9: 26-28, 29-31, 32-33, 36
Examples TE
163-165
Workbook TE
59
Daily Homework Quiz
56
Other Ancillaries
Book
70
Extra Examples
Transparencies with
178-180
Package
55
197-198
Tests
42A-42B, 45A-45B
23
INSTRUCTION
APPLICATION
Teacher’s Edition
G.5.2 State and apply
the relationships that exist
when the altitude is
drawn to the hypotenuse
of a right triangle.
Example: In triangle ABC
with right angle at C, draw
the altitude
CD from C to
AB . Name all similar
triangles in the diagram.
Use these similar triangles
to prove the Pythagorean
Theorem.
PE/TE
527-530, 582 (#1-3)
PE/TE
531-533, 534 (#41-43), 549 (#14), 566 (#57), 582 (#1-3),
585 (#1-6), 819 (#1-6)
Ch9: 17-18
Examples TE
160-161
Other Ancillaries
Extra Examples
Transparencies with
175-176
195-196
Chapter Summaries
Track: 9
mcdougallittell.com
Lesson 9.1
Print Ancillaries,
Transparencies and
Technology
Ch9: 12, 14-16, 18, 21
Examples TE
161-162
Workbook TE
58
Daily Homework Quiz
55
Other Ancillaries
Extra Examples
Transparencies with
175-177
Package
54
196
Tests
42A-42B, 45A-45B
24
INSTRUCTION
APPLICATION
Teacher’s Edition
G.5.3 Use special right
triangles (30° - 60° and 45°
- 45°) to solve problems.
PE/TE
551-553, 583 (#12-15)
PE/TE
554-556, 583 (#12-15),
585 (#11), 820 (#28-30)
Example: An isosceles right
triangle has one short side
of 6 cm. Find the lengths of
the other two sides.
Ch9: 60-61
Examples TE
169-170
Other Ancillaries
Extra Examples
Transparencies with
183-185
202-203
Chapter Summaries
Track: 9
mcdougallittell.com
Lesson 9.4
Print Ancillaries,
Transparencies and
Technology
Ch9: 57-59
Examples TE
170-171
Workbook TE
61
Daily Homework Quiz
58
Other Ancillaries
Extra Examples
Transparencies with
184-186
202-203
Tests
43A-43B
25
INSTRUCTION
APPLICATION
Teacher’s Edition
G.5.4 Define and use the
trigonometric functions
(sine, cosine, tangent,
cosecant, secant,
cotangent) in terms of
angles of right triangles.
Example: In triangle ABC,
1
tan A = 5
Find sin A and cot A.
PE/TE
558-559, 567-569, 584 (#16-21)
Ch9: 70-71, 75-76, 91-92
Examples TE
172-174, 175-176
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)
Other Ancillaries
Extra Examples
Transparencies with
187-190, 192
204-205, 207-208
Chapter Summaries
Track: 9
mcdougallittell.com
Lessons 9.5-9.6
G.5.5 Know and use the
relationship
sin 2 x + cos2 x = 1.
PE/TE
560 (Example 5)
TE Only
558-559
Print Ancillaries,
Transparencies and
Technology
Ch9: 70-71, 72-74, 76, 79, 80,
81, 84-85, 88-90, 91-92
Examples TE
173-174, 176-177
Workbook TE
62-63
Daily Homework Quiz
59-60
Other Ancillaries
Book
72
Extra Examples
Transparencies with
188-191, 192
Package
58-59
205-206, 207-208
Tests
43A-43B, 44A-44B
PE/TE
565 (#47-52)
Examples TE
62
Example: Show that, in a
right triangle,
sin2 x + cos2 x = 1 is an
example of the Pythagorean
Theorem.
26
INSTRUCTION
APPLICATION
Teacher’s Edition
G.5.6 Solve word
problems involving right
triangles.
Example: The force of
gravity pulling an object
down a hill is its weight
multiplied by the sine of the
angle of elevation of the
hill. What is the force on a
3,000-pound car on a hill
with a 1 in 5 grade? (A
grade of 1 in 5 means that
the hill rises one unit for
every 5 horizontal units.)
PE/TE
528 (Example
530 (Example
537 (Example
545 (Example
1),
3),
4),
3), 553, 561, 569
Ch9: 76
Examples TE
174
PE/TE
525, 532 (#31-32), 534 (#43),
538 (#6), 539 (#31-33),
540 (#34), 545 (#7), 547 (#3940), 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)
Print Ancillaries,
Transparencies and
Technology
Ch9: 29-31, 35, 45, 50, 52, 5759, 63-64, 73-74, 76, 78-79, 81,
88-90, 94
Examples TE
174
Workbook TE
58
Other Ancillaries
Other Ancillaries
Extra Examples
Transparencies with
176, 179, 185, 190, 193
205
Chapter Summaries
Track: 9
Extra Examples
Transparencies with
185, 190, 193
Package
59
201, 205, 206
Tests
43A-43B
27
INSTRUCTION
APPLICATION
Teacher’s Edition
Print Ancillaries,
Transparencies and
Technology
STANDARD 6 Circles Students define ideas related to circles: e.g., radius, tangent. They find measures of
angles, lengths, and areas. They prove theorems about circles. They find equations of circles.
PE/TE
G.6.1 Find the center of PE/TE
605
(Example
5)
610
(#53)
a given circle. Construct
the circle that passes
TE Only
Ch10: 27, 35
through three given
595
points (not in a straight
line).
Example: Given a circle,
find its center by drawing
the perpendicular bisectors
of two chords.
G.6.2 Define and
identify relationships
among: radius, diameter,
arc, measure of an arc,
chord, secant, and
tangent.
Example: What is the angle
between a tangent to a
circle and the radius at the
point where the tangent
meets the circle?
Examples TE
181
PE/TE:
595-598, 603-605, 613
TE Only
606, 616
PE/TE
599-600, 601 (#42-45), 607-609,
620 (Quiz 1 #1-8), 821 (#1-15)
Ch10: 19-20, 31-32
Examples TE
75-76
Examples TE
181-183, 184-185
Ch10: 12-13, 15-18, 20, 22, 2630, 32, 34
Examples TE
78
Examples TE
182-183, 185
Workbook TE
65-66
Daily Homework Quiz
62-63
Other Ancillaries
Extra Examples
Transparencies with
200-202, 205-207
222-223, 224-225
Chapter Summaries
Track: 10
mcdougallittell.com
Lessons 10.1-10.2
Other Ancillaries
Extra Examples
Transparencies with
201-202, 206-207, 209
Package
61-62
223-225
Tests
48A-48B
28
INSTRUCTION
APPLICATION
Teacher’s Edition
G.6.3 Prove theorems
related to circles.
Example: Prove that the
angle subtended by a chord
at the center of a circle is
twice the angle at the
circumference.
PE/TE
597-598, 605-606, 613-615,
621-622, 629-630
TE Only
595-596, 604, 616, 623, 631
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, 632633
Ch10: 19, 31, 45, 59, 73
Examples TE
181, 184, 187, 190, 193
Print Ancillaries,
Transparencies and
Technology
Ch10: 36
Workbook TE
65-69
Other Ancillaries
Tests
48A-48B, 49A-49B, 50A-50B
Other Ancillaries
220, 222, 224, 227, 229
Chapter Summaries
Track: 10
mcdougallittell.com
Lessons 10.1-10.5
G.6.4 Construct tangents
to circles, and
circumscribe and
inscribe circles.
PE/TE
615, 621
TE Only
613-614, 616
Example: Draw an acute
triangle and construct the
circumscribed circle.
PE/TE
618 (#30-34), 626 (#36)
Ch10: 45
29
INSTRUCTION
APPLICATION
Teacher’s Edition
G.6.5 Define, find, and
use measures of arcs and
related angles (central,
inscribed, and
intersections of secants
and tangents).
Example: Find the measure
of angle ABC in the
diagram below. A
PE/TE
612, 613-616, 621-623
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: 45-46, 59-60
Examples TE
187-188, 190-192
Other Ancillaries
B
150
9
99
Extra Examples
Transparencies with
210-212, 214-216
224-225
Chapter Summaries
Track: 10
Electronic Lesson
Lesson 10.3
mcdougallittell.com
Lessons 10.3-10.4
G.6.6 Define and
identify congruent and
concentric circles.
PE/TE
595-596
C
Print Ancillaries,
Transparencies and
Technology
Ch10: 40-41, 42-44, 45-46, 48,
50, 53, 55-58, 59-60, 62-63
Examples TE
187-188, 191-192
Workbook TE
67-68
Daily Homework Quiz
64-65
Other Ancillaries
Extra Examples
Transparencies with
211-212, 215-217
Package
63
Tests
48A-48B, 50A-50B
PE/TE
599 (#17)
Example: Are circles with
the same center always the
same shape? Are they
always the same size?
Ch10: 19
Examples TE
181
220
30
INSTRUCTION
APPLICATION
Teacher’s Edition
G.6.7 Define, find, and
use measures of
circumference, arc
length, and areas of
circles and sectors. Use
these measures to solve
problems.
Example: Which will give
you more: three
6-inch pizzas or two
8-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
Examples TE
19, 21, 211-213, 214-215
PE/TE
55 (#1, 5, 7, 12, 16, 20),
56 (#24, 26, 29, 36), 57 (#3840, 45-47, 49), 58 (#6),
62 (#31), 686-688, 689 (#4855), 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)
Other Ancillaries
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Transparencies with
18, 233-234, 237-238
15-16, 252-253, 254-255
Chapter Summaries
Tracks: 1, 11
Electronic Lesson
Lesson 11.5
mcdougallittell.com
Lessons 11.4-11.5
Print Ancillaries,
Transparencies and
Technology
Ch1: 95-98, 100-102; Ch11:
56, 59-61, 62-63, 65-66, 69, 7177, 79, 81-82, 100, 102, 104105
Examples TE
20, 211-215
Workbook TE
7, 75-76
Daily Homework Quiz
8, 72-73
Other Ancillaries
Extra Examples
Transparencies with
234-236, 238, 240
Package
7, 71
15-16, 252-253, 255
Tests
4A-4B, 5A-5B, 53A-53B, 54A54B, 55A-55B
31
INSTRUCTION
APPLICATION
Teacher’s Edition
G.6.8 Find the equation
of a circle in the
coordinate plane in terms
of its center and radius.
PE/TE
636, 637 (Example 4),
652 (#27-29)
Example: Find the equation
of the circle with radius 10
and center
(6, -3).
PE/TE
636, 638 (#3-6, 13-22),
639 (#23-26, 43-44), 640 (#49),
652 (#27-29), 653 (#18),
822 (#43-44)
Ch10: 89
Examples TE
196
Other Ancillaries
Extra Examples
Transparencies with
221
232
Chapter Summaries
Track: 10
mcdougallittell.com
Lesson 10.6
Print Ancillaries,
Transparencies and
Technology
Ch10: 86-89
Examples TE
196
Workbook TE
70
Daily Homework Quiz
67
Other Ancillaries
Extra Examples
Transparencies with
221-222
Package
66
232
Tests
49A-49B, 50A-50B
32
INSTRUCTION
APPLICATION
Teacher’s Edition
STANDARD 7 Polyhedra and Other Solids Students describe and make polyhedra
describe relationships and symmetries, and use congruence and similarity.
PE/TE
PE/TE
G.7.1 Describe and
719-721
723 (#1, 3-5, 10-12, 16-18),
make regular and non724, 725 (#39-42), 742 (#1-3),
regular polyhedra.
Example: Is a cube a
regular polyhedron? Explain
why or why not.
825 (#1-3)
Ch12: 16
Examples TE
220
Other Ancillaries
Extra Examples
Transparencies with
224
268
Chapter Summaries
Track: 12
mcdougallittell.com
Lesson 12.1
G.7.2 Describe the
polyhedron that can be
made from a given net (or
pattern). Describe the net
for a given polyhedron.
PE/TE
727, 729, 736
Print Ancillaries,
Transparencies and
Technology
and other solids. They
Ch12: 11-12, 13-15, 19, 23, 2628, 37
Examples TE
85
Examples TE
221
Workbook TE
78-79
Daily Homework Quiz
74-75
Other Ancillaries
Extra Examples
Transparencies with
244
Package
74
PE/TE
727, 732 (#17-19), 739 (#26)
Ch12: 24, 26-28
Other Ancillaries
Package
74
Example: Make a net for a
tetrahedron out of poster
board and fold it up to make
the tetrahedron.
33
INSTRUCTION
APPLICATION
Teacher’s Edition
G.7.3 Describe
relationships between the
faces, edges, and vertices
of polyhedra.
PE/TE
721-722, 774 (#1-3)
TE Only
719-721
Example: Count the sides,
edges, and corners of a
square-based pyramid. How
are these numbers related?
PE/TE
723 (#6-9, 13-15), 724 (#20, 22,
24), 725, 726 (#54-55), 742 (#13), 758 (#50-51), 774 (#1-3,
777 (#1-3), 825 (#4-6)
Ch12: 16-17
Examples TE
220-222
Print Ancillaries,
Transparencies and
Technology
Ch12: 12-15, 16-17, 19-20, 23,
26-28, 36, 50, 108, 110, 112
Examples TE
221-222
Workbook TE
78-79
Daily Homework Quiz
75-76
Other Ancillaries
Extra Examples
Transparencies with
244-246
Chapter Summaries
Track: 12
mcdougallittell.com
Lesson 12.1
G.7.4 Describe
symmetries of geometric
solids.
Example: Describe the
rotation and reflection
symmetries of a squarebased pyramid.
Other Ancillaries
Extra Examples
Transparencies with
244-246
Package
74-75
268-269, 274, 284, 286, 288
Tests
57A-57B, 60A-60B
An opportunity to address this
standard may be found on the
following pages:
An opportunity to address this
standard may be found on the
following pages:
PE/TE
719-722
PE/TE
723-726
34
INSTRUCTION
APPLICATION
Teacher’s Edition
G.7.5 Describe sets of
points on spheres: chords,
tangents, and great
circles.
Example: On Earth, is the
equator a great circle?
G.7.6 Identify and know
properties of congruent
and similar solids.
Example: Explain how the
surface area and volume of
similar cylinders are
related.
PE/TE
714-715, 759-760
PE/TE
762 (#1, 3-6, 13), 714-715
Print Ancillaries,
Transparencies and
Technology
Daily Homework Quiz
80
Ch12: 89-90
Other Ancillaries
Extra Examples
Transparencies with
258
Tests
59A-59B
PE/TE
766-768, 776 (#18-19)
TE Only
720, 730
PE/TE
769-771, 776 (#18-19),
777 (#13), 826 (#33-35)
Ch12: 101-102
Examples TE
238-239
Ch12: 25, 68, 96-97, 98-100,
101-102
Examples TE
239-240
Workbook TE
84
Daily Homework Quiz
81
Other Ancillaries
Extra Examples
Transparencies with
260-262
282-283
Chapter Summaries
Track: 12
mcdougallittell.com
Lesson 12.7
Other Ancillaries
Extra Examples
Transparencies with
260-262
Package
74, 78
Tests
59A-59B, 60A-60B
35
INSTRUCTION
APPLICATION
Teacher’s Edition
G.7.7 Find and use
measures of sides,
volumes of solids, and
surface areas of solids,
and relate these measures
to each other using
formulas.
PE/TE
728-731, 735-737, 743-745,
750-751, 752-754, 759-761,
767-768, 775, 776 (#13-17)
TE Only
766
Example: An ice cube is
dropped into a glass that is
roughly a right cylinder with
a 6 cm diameter. The water
level rises
1 mm. What is the volume
of the ice cube?
PE/TE
731-733, 734 (#45-49), 738-741,
742 (#4-6), 746-748, 749 (#4850, 58-60), 750-751, 755-758,
762-764, 765 (#45-49), 769 (#78), 770 (#17-20, 26-27), 772
(#45-49), 72 (Quiz 3), 775 (#412), 776 (#13-17), 777, 778779, 825 (#9-17), 826
Ch12: 29-30, 44-45 60-61, 7273, 89-90, 101-102
Examples TE
223-230, 232-237, 239
Other Ancillaries
Extra Examples
Transparencies with
247-252, 254-256, 258-259
270-271, 272-273, 275-276,
277-278, 280-281
Chapter Summaries
Track: 12
Electronic Lesson
Lesson 12.4
mcdougallittell.com
Lessons 12.2-12.7
Print Ancillaries,
Transparencies and
Technology
Ch12: 26-28, 30, 32-33, 35-40,
41-43, 45, 47-49, 50, 53-55, 5759, 61, 63-64, 67-68, 69-71, 7273, 75-77, 80-85, 86-88, 89-90,
92-93, 96-97, 98-100, 101-102,
108-114
Examples TE
224-225, 227-228, 230-234,
236-237, 240
Workbook TE
49-84, 88
Daily Homework Quiz
75-80, 81
Other Ancillaries
Book
74-75, 86-91
Extra Examples
Transparencies with
247-253, 255-259
Package
77-79
271, 273-274, 276, 277-279,
280-281, 284-290
Tests
57A-57B, 58A-58B, 59A-59B,
60A-60B
36
INSTRUCTION
APPLICATION
Teacher’s Edition
STANDARD 8 Mathematical Reasoning and Problem
problems.
PE/TE
G.8.1 Use a variety of
33, 53-54, 102, 135-136, 460,
problem-solving
467, 664, 694, 783-784
strategies, such as
TE Only
drawing a diagram,
making a chart, guess52, 137-138
and-check, solving a
simpler problem, writing
an equation, and working
backwards.
Example: How far does the
tip of the minute hand of a
clock move in 20 minutes if
the tip is 4 inches from the
center of the clock?
G.8.2 Decide whether a
solution is reasonable in
the context of the original
situation.
Example: John says the
answer to the problem in
the first example is “12
inches.” Is his answer
reasonable? Why or why
not?
Solving Students use a variety of strategies to solve
PE/TE
33, 56 (#34-37), 57 (#38-40, 4950), 65 (#15-18), 75 (#7-8), 76
(#25-28), 135, 367, 463 (#5153, 59-61), 470 (#41-42), 542,
666 (#39-40), 697 (#38-39)
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
Ch1: 103
Examples TE
59-61
Examples TE
19, 21
PE/TE
TE Only
108, 142, 193, 211, 329, 371,
472, 676, 690
Print Ancillaries,
Transparencies and
Technology
Ch1: 104
Examples TE
59-61, 63
Examples TE
21
Ch4: 37; Ch6: 120; Ch9: 121;
Ch10: 121
Other Ancillaries
Package
58
37
INSTRUCTION
APPLICATION
Teacher’s Edition
Print Ancillaries,
Transparencies and
Technology
Students develop and evaluate mathematical arguments and proofs.
G.8.3 Make conjectures
about geometric ideas.
Distinguish between
information that supports
a conjecture and proof of
a conjecture.
PE/TE
4-5, 108, 110, 142, 193, 228,
294, 329, 395, 403, 472, 497,
514, 612, 628, 641, 676, 727
TE Only
237
Example: Calculate the
ratios of side lengths in
several different-sized
triangles with angles of 90°,
50° and 40°. What do you
notice about the ratios?
How might you prove that
your observation is true (or
show that it is false)?
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: 17-18
Examples TE
1-2
Other Ancillaries
Extra Examples
Transparencies with
2-3
1-2
Ch1: 18, 24; Ch2: 21; Ch4: 27,
79; Ch5: 56; Ch6: 99; Ch9:
121; Ch10: 121
Examples TE
1, 3
Other Ancillaries
Book
57
Extra Examples
Transparencies with
2-3
Package
15, 26, 31, 35, 65, 78
2
Tests
2A-2B
38
INSTRUCTION
APPLICATION
Teacher’s Edition
G.8.4 Write and
interpret statements of the
form “if – then” and “if
and only if.”
Example: Decide whether
this statement is true: “If
today is Sunday, then we
have school tomorrow.”
PE/TE
71, 74, 80-81, 86, 87-88,
118 (#1-4)
TE Only
72-73, 89-90
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: 17, 33-34
Examples TE
22, 25, 26-28
Other Ancillaries
Extra Examples
Transparencies with
22, 24-27
26
Chapter Summaries
Track: 2
Print Ancillaries,
Transparencies and
Technology
Ch2: 14-16, 18, 20-21, 24, 3334, 36, 49, 99, 101, 103
Examples TE
22-23, 25-28
Workbook TE
8-10
Daily Homework Quiz
9-11
Other Ancillaries
Extra Examples
Transparencies with
22, 24-27
Package
8-10, 26
27, 40, 42, 44
Tests
7A-7B
39
INSTRUCTION
APPLICATION
Teacher’s Edition
G.8.5 State, use, and
examine the validity of the
converse, inverse, and
contrapositive of “if –
then” statements.
PE/TE
72-74, 87-89, 118 (#1-4)
TE Only
73
PE/TE
75 (#1, 6), 76 (#18-24, 39),
77 (#51-52), 78 (#55), 83 (#2427, 32-37), 85 (#56-58, 67-68),
91 (#3-5, 8-20), 92-93, 94 (#5155), 118 (#1-2), 119 (#7-10)
Example: In the last
example, write the converse
of the statement.
Ch2: 17
Examples TE
22-23, 29
Print Ancillaries,
Transparencies and
Technology
Ch2: 14-16, 18, 20-21, 24, 36,
49, 99, 101, 103
Examples TE
22-23, 25, 29
Workbook TE
8, 10
Daily Homework Quiz
9-10
Other Ancillaries
Extra Examples
Transparencies with
22, 24, 26-27
26
Chapter Summaries
Track: 2
Other Ancillaries
Extra Examples
Transparencies with
22, 24, 26-27, 30
27, 40, 42, 44
Tests
7A-7B
40
INSTRUCTION
APPLICATION
Teacher’s Edition
G.8.6 Identify and give
examples of undefined
terms, axioms, and
theorems, and inductive
and deductive proof.
Example: Do you prove
axioms from theorems or
theorems from axioms?
PE/TE
10, 17, 89-90, 102, 827-832
PE/TE
21 (#1), 92-93, 119 (#11-12)
Print Ancillaries,
Transparencies and
Technology
Ch1: 29; Ch2: 47
Examples TE
4, 25-26, 30
Ch2: 42-45, 49
Examples TE
25-26
Workbook TE
9-10
Other Ancillaries
Other Ancillaries
Extra Examples
Transparencies with
28-29
3, 31
Electronic Lesson
Lesson 1.2
Book
54
Extra Examples
Transparencies with
28-29
Package
33
3, 31
Tests
8A-8B
41
INSTRUCTION
APPLICATION
Teacher’s Edition
G.8.7 Construct logical
arguments, judge their
validity, and give
counterexamples to
disprove statements.
PE/TE
4, 71, 228
TE Only
72-73
PE/TE
8 (#34-39, 41), 75 (#14-17),
107 (#28-30), 121 (#5-8),
162 (#32), 163 (#49-51)
Example: Find an example
to show that triangles with
two sides and one angle
equal are not necessarily
congruent.
Ch1: 18; Ch2: 18
Examples TE
3, 24
Other Ancillaries
Extra Examples
Transparencies with
2, 22, 24
2, 27
Print Ancillaries,
Transparencies and
Technology
Ch1: 18; Ch2: 18; Ch4: 80
Examples TE
3, 24
Daily Homework Quiz
10
Other Ancillaries
Extra Examples
Transparencies with
2, 22, 24
2, 27
42
INSTRUCTION
APPLICATION
Teacher’s Edition
G.8.8 Write geometric
proofs, including proofs
by contradiction and
proofs involving
coordinate geometry. Use
and compare a variety of
ways to present deductive
proofs, such as flow chart,
paragraph, two-column,
and indirect.
PE/TE
102, 135, 136, 138, 302-305
TE Only
137
Other Ancillaries
Chapter Summaries
Track: 2, 4, 5, 6, 9
Example: In triangle LMN,
LM = LN Prove that ∠LMN
≅ ∠LNM.
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 (#2528), 224, 244 (#11-15), 234
(#17-18), 240 (#26-28, 31), 269
(#27-30), 305 (#1-2, 6), 306
(#25), 307 (#26-27), 312 (#2425), 533 (#34-36), 547 (#34-35),
601 (#49-53), 619 (#38-40)
Print Ancillaries,
Transparencies and
Technology
Ch2: 76, 100, 102, 104, 111;
Ch4: 45-47, 51-52, 59-61, 6263, 65, 67, 72-74, 75-76, 79,
85-87, 102-104; Ch5: 31, 8890; Ch6: 28-30, 40-42, 59-60;
Ch9: 15-16; Ch10: 58
Examples TE
35, 50, 71-72, 73, 75, 77
Workbook TE
23, 25
Daily Homework Quiz
13, 26, 44
Other Ancillaries
Extra Examples
Transparencies with
35, 38, 45, 51
Package
12
36, 41, 43, 45, 81-85, 87
Tests
9A-9B, 10A-10B, 12A-12B,
13A-13B, 19A-19B, 20A-20B,
25A-25B
43
INSTRUCTION
APPLICATION
Teacher’s Edition
G.8.9 Perform basic
constructions, describing
and justifying the
procedures used.
Distinguish between
constructing and drawing
geometric figures.
Example: Construct a line
parallel to a given line
through a given point not on
the line, explaining and
justifying 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
Print Ancillaries,
Transparencies and
Technology
Ch1: 82-83; Ch2: 26-28, 70-72,
86-88; Ch4: 14, 27-29, 44, 5758, 99-101; Ch5: 13-16, 17-19,
28, 41-42, 85-87; Ch6: 13, 2627, 55-57, 99-101; Ch9: 12-13,
41-43; Ch11: 27-29
Other Ancillaries
Package
26, 29, 37
44

Indiana Academic Standards for Geometry

Transcription

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