Indiana Academic Standards for Algebra 1

Transcription

correlated to the
Indiana
Academic Standards for
Algebra 1
CC2
6/2003
2004
Introduction
to
McDougal Littell Algebra 1 © 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.
Some Special Features
•
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•
•
•
•
•
•
•
•
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
Algebra Tile Investigations
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
Other Ancillaries
Resources in Spanish
Multi-Language Glossary
English-Spanish Chapter Reviews and Tests
Exercises in Spanish
Student Algebra Tile Kit
Overhead Algebra Tile Kit
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
Practice Workbook with Examples
Standardized Test Practice Workbook
Preparation for Middle School Math, Grade 8
Preparation for Middle School Math, Grade 8,
Teacher’s Edition
Explorations and Projects Book
Data Analysis Sourcebook
Functions Sourcebook
Technology:
Test and Practice Generator CD-ROM
Instant Replay: Video Review Games
Power Presentations CD-ROM
Easy Planner CD-ROM
Personal Student Tutor CD-ROM
Chapter Audio Summaries in English, Spanish,
and Haitian Creole
Algebra 1 eEdition Plus Online
Easy Planner Plus Online
correlated to
The Indiana Academic Standards for Algebra 1
INSTRUCTION
APPLICATION
Pupil’s Edition and
Teacher’s Edition
Print Ancillaries,
Transparecies and
Technology
STANDARD 1 Operations with Real Numbers Students simplify and compare expressions. They use rational
exponents, and simplify square roots.
PE/TE
PE/TE
Chapter Resource Books
A1.1.1 Compare real
449, 450-451, 456-457, 46370 (#83-85), 185 (#44-46), 449,
Ch8: 12-13, 15-17, 18-20, 25,
number expressions.
Example: Compare the
sizes of: √36 + √64 and
√(36+64)
464, 470-471, 494 (Review 8.18.2), 495 (Review 8.3-8.4),
503-504, 511-513, 562 (Review
9.2), 664-665, 701 (Review
11.4), 716-717
TE Only
452, 458, 505-506, 666, 718
Ch8: 18-19, 32-33, 46-47, 6061; Ch9: 17, 29; Ch11: 60;
Ch12: 30-31
Practice Workbook with
Examples
154-155, 157-158, 160-161,
163-164, 172, 175-176, 229,
247-248
Extra Examples
Transparencies with
120, 122-123, 126, 129, 137,
140, 182, 195
180-185, 187-188, 203, 205,
264, 286-287
Chapter Audio Summaries in
English/Spanish
Tracks: 8, 9, 12
Personal Student Tutor CDROM
Ch8: Tutorial 1: Topic A-B
Ch9: Tutorial 1: Topic B
Ch11: Tutorial 4: Topic A
453, 454 (#69-74), 455 (#85),
459, 461 (#66-68), 466, 469
(#13-23), 473, 494-495, 497
(#1-28), 498 (#1, 5-6, 8), 499
(#14-16), 507 (#8-14, 23-38),
508 (#45-53), 509 (#95-96),
514-515, 516 (#58-60), 524
(#13-16, 88-101); Quiz 1 (#1-8,
18-25), 531 (#75-82), 562 (#710), 565 (#1-8), 569 (#30-43,
48-55), 589 (#62-73), 595 (#5657, 63-68), 624 (#86-93), 648
(#51-66), 655 (#48-50), 661
(#61-64), 667 (#9-23), 669
(#39), 682 (#1-4), 697 (#78-85),
701 (#11-14), 714 (#65-72)
717, 721 (#63, 65), 727 (#7786), 728 (#5-10), 804 (#1-16,
21-28, 30-45), 807 (#17-20),
808 (#9-16)
TE Only
513
29-31, 32-33, 39-40, 43-45, 4647, 51, 54-55, 57-59, 60-61;
Ch9: 14-16, 17, 25, 33; Ch11:
56-59, 60, 67; Ch12: 25, 27-29,
30-31, 34
Examples
154-156, 157-158, 160-161,
163-164, 172, 175-176, 229,
247-249
Workbook
6, 8, 9, 14, 16-19, 56-59, 62-63
Warm-Up Transparencies and
Daily Homework Quiz
61-64, 67, 68, 78, 88-89, 96
Explorations and Projects
Book
17-18
Extra Examples
Transparencies with
120, 122-123, 126, 128, 129,
137, 140-141, 182-183, 195
Starting Points: Alternative
Lesson Opener Transparency
Package
52, 54, 55, 59, 77, 83
186
English-Spanish Reviews and
Tests
37A-37B, 40A-40B, 42A-42B,
45A-45B, 53A-53B, 55A-55B,
57A-57B, 60A-60B
PE = Pupil’s Edition, TE = Teacher’s Edition
Selected exercises are referenced in parentheses, otherwise entire page is applicable.
1
McDougal Littell Algebra 1 © 2004 correlated to
INSTRUCTION
APPLICATION
Teacher’s Edition
A1.1.2 Simplify square
roots using factors.
Example: Explain why
√48= 4√3
PE/TE
503-504, 511-513, 562 (Review
9.2), 717 (Example 3)
Ch9: 17, 29-30
Examples
175-177
PE/TE
507 (#8-14), 514-515, 516 (#5860), 524 (#13-16), 531 (#75-82),
562 (#7-10), 565 (#1-8), 569
(#48-55), 648 (#59-66), 697
(#78-85), 714 (#65-72)
TE Only
513
Extra Examples
Transparencies with
140
203, 205, 206
English/Spanish
Track: 9
Print Ancillaries,
Transparecies and
Technology
Ch9: 14-17, 24-28, 32-33, 138
Examples
175-177
Workbook
63
Daily Homework Quiz
68, 69
Book
18
Extra Examples
Transparencies with
140-141
Package
59
Tests
42A-42B, 45A-45B
2
INSTRUCTION
APPLICATION
Teacher’s Edition
A1.1.3 Understand and
use the distributive,
associative, and
commutative properties.
Example: Simplify
(6x2–5x+1) – 2(x2+3x–4) by
removing the parentheses
and rearranging. Explain
why you can carry out each
step.
A1.1.4 Use the laws of
exponents for rational
exponents.
3
Print Ancillaries,
Transparecies and
Technology
PE/TE
73, 94, 100-102, 109 (Example
2), 124 (Review 2.6), 146, 155,
161, 188 (Example 4), 302,
342, 576-579, 584-586, 590592, 634 (Review 10.2-10.3),
635 (Rev, 10.3), 716, 739
(Example 2), 745
TE Only
145, 717
Ch2: 88-89; Ch3: 43, 58;
Ch10: 18-19
Examples
26-27, 37-39, 53, 56, 109, 196198, 199-201, 202, 248, 263
Extra Examples
Transparencies with
30-31, 154-156, 157-158, 159,
161
37-38, 57, 60, 230-231
English/Spanish
Tracks: 2, 3, 10
PE/TE
75 (#34, 36), 97 (#58), 99, 103106, 111 (#44-47), 112 (#4851), 124 (#33-40), 125 (#26-31),
127 (#16), 137 (#68-75), 148 (68, 12, 29-33), 149 (#37-40, 44),
152 (#8-9), 157 (#3, 15-17, 3141), 165 (#37, 40), 172 (#4, 6,
10), 304 (#39-47), 343 (#31-35),
574 (#1-8, 12), 575, 579-582,
587-588, 589 (#61), 593-594,
595 #58), 609 (#78-86), 634,
635 (#11-14), 637 (#1-13), 638
(#2-3, 5), 675 (#55-58), 714
(#79-84), 719 (#9, 33-39), 728
(#8), 741 (#19-24), 748 (# 1425), 757 (#30-35)
Ch2: 83-87, 93-94, 124, 126,
128, 135; Ch3: 36-38, 40-41,
44, 52, 55-57, 59; Ch10: 18-19,
21, 132
6-10
Examples
26-27, 37-39, 53, 56, 196-198,
199-201, 202, 203, 248
Workbook
12-13, 70-72
Daily Homework Quiz
12, 16, 21-23, 77-80, 96
Extra Examples
Transparencies with
30-31, 154-156, 157-158, 159,
161
Package
13, 66-68
45, 47, 49
Tests
9A-9B, 10A-10B, 47A-47B,
48A-48B, 50A-50B
PE/TE
An introduction to this topic
can be found on page 516.
PE/TE
516 (#62-64)
Ch9: 33
2
Example: Simplify 25 .
3
INSTRUCTION
APPLICATION
Teacher’s Edition
A1.1.5 Use dimensional
(unit) analysis to organize
conversions and
computations.
Example: Convert 5 miles
per hour to feet per second.
PE/TE
5, 95, 156, 161-162, 18
(Example 3), 229, 258, 274275, 472, 678, 711 (Example 3)
Ch3: 114
Basic Skills Workbook with
Examples
47
Examples
51, 81, 93, 146
69
English/Spanish
Track: 3
PE/TE
6 (#13-16, 18), 7 (#35-38), 22
(#9-11), 37 (#54-57), 58 (#1), 97
(#67), 150 (#60), 159 (#65-68),
163 (#3), 164 (#9-12), 183
(#2,5-6), 184 (#23-26), 277
(#30-32), 468 (#66), 475 (#66),
713 (#59), 799 (#48-49)
TE
175
Print Ancillaries,
Transparecies and
Technology
Ch1: 15-17; Ch2: 72-74; Ch3:
111-113, 114, 119, 122, 124,
126
Examples
51, 67, 81, 93, 146
Workbook
23
72, 74, 76
Tests
14A-14B, 15A-15B
4
INSTRUCTION
APPLICATION
Teacher’s Edition
Print Ancillaries,
Transparecies and
Technology
STANDARD 2 Linear Equations and Inequalities Students solve linear equations and inequalities in one
variable. They solve word problems that involve linear equations, inequalities, or formulas.
PE/TE
PE/TE
A1.2.1 Solve linear
131, 132-134, 138-141, 145131, 135-137, 141-144, 148Ch3: 12, 13, 14-16, 17-18, 20,
equations.
Example: Solve the
equation
7a + 2 = 5a – 3a + 8.
147, 154-156, 160-162, 166168, 190 (Review 3.1-3.3), 191
(Review 3.4), 192 (Review 3.6)
TE Only
153, 173
Ch3: 5-6, 17-18, 22, 29-30, 4344, 58-59, 73-74, 88-89, 102,
114-115
Examples
11-14, 17-20, 92-93, 96-97,
101-103
Examples
46-48, 49-51, 52-54, 55-57, 5859, 61-64, 67-68
Extra Examples
Transparencies with
37, 39-40, 41-42, 44-45, 46-47,
49
53-58, 60-63, 67, 69-70
English/Spanish
Track: 3
Ch3: Tutorial 3: Topic A, C
150, 151 (#65-66), 152, 153,
157-158, 159 (#50-54), 163-165,
169-171, 172 (#1-12), 173, 177178, 179 (#45-49), 183-185, 186
(#1-12), 190, 191 (#17-22), 192
(#25-27), 193 (#1-12, 18, 19),
194 (#1-2, 4, 6-7), 195 (#16),
197 (#35-47), 217 (#91-98), 223
(#87), 239 (#44-49), 262 (#6272), 291 (#69-74), 314 (#84-89),
339 (#71-79), 351 (#55-66), 390
(#20-31), 403 (#47-52), 490
(#44-47), 560 (#43-46), 689
(#61-64), 799 (#1-37)
21, 24-25, 26-28, 32-33, 36-39,
40-42, 43-44, 48, 49, 52-54, 5557, 58-59, 61-63, 66-69, 70-72,
73-74, 76-77, 80-84, 85-87, 8889, 91-93, 99-102, 105, 109,
111-113, 120-121, 123, 125
11-15, 16-20
Examples
11-14, 16, 17-20, 21-23, 92-93,
94-95, 96-98, 99-100, 101-103,
104-106, 107-108
Examples
46-48, 49-51, 52-54, 55-57, 5860, 61-63, 65-66, 67-68
Workbook
16-21
Daily Homework Quiz
19-25
Book
7
Extra Examples
Transparencies with
37-38, 39-40, 41-43, 44-45, 4648, 49-50
Package
16-21
59, 66, 71, 73, 75
(continued on next page)
5
INSTRUCTION
APPLICATION
Teacher’s Edition
Print Ancillaries,
Transparecies and
Technology
Tests
12A-12B, 13A-13B, 14A-14B,
15A-15B
Instant Replay: Video Review
Games with Resource Book
5-8
A1.2.2 Solve equations
and formulas for a
specified variable.
Example: Solve the
equation q = 4p – 11 for p.
PE/TE
4-5, 11, 174-176, 192 (Review
3.7), 790-791
TE Only
104
Ch3: 94, 102-103
Examples
75-77, 81
Examples
64-65
Extra Examples
Transparencies with
51-52
67-68
English/Spanish
Track: 3
Ch3: Tutorial 3: Topic C
PE/TE
6 (#31-22), 13 (#61, 63-67), 14
(#68, 72-74), 22 (#72), 104
(#75, 77), 105, 177-178, 179
(#45-49), 192 (#28-31), 193
(#13-15), 366 (#77-78), 791
TE Only
7, 9
Ch3: 96-98, 99-101, 102-103,
105-106, 121, 123, 125
Examples
77, 79, 82-84, 85-86
Examples
65-66
Workbook
22
Daily Homework Quiz
6, 25, 26
Extra Examples
Transparencies with
51-53
Package
22
71, 73, 75
Tests
14A-14B, 15A-15B
6
INSTRUCTION
APPLICATION
Teacher’s Edition
A1.2.3 Find solution sets
of linear inequalities
when possible numbers
are given for the variable.
Example: Solve the
inequality 6x – 3 > 10 for x
in the set {0, 1, 2, 3, 4}.
PE/TE
26, 334-336, 340-342, 346-347,
354-355, 384-385
Ch1: 62; Ch6: 16-17, 28-29,
42-43, 57-58
Examples
10-11, 116-117, 118-120, 122123, 125-126,
Extra Examples
Transparencies with
9, 92, 94-95, 96-98
132-137, 139-140
English/Spanish
Tracks: 1, 6
Ch6: Tutorial 2: Topic A-C
PE/TE
28 (#38-55), 30 (#81), 52 (#5358), 58, 179 (#50-52), 196 (#1621), 305 (#71-76), 332 (#1-6),
337 (#14-19, 31-45), 338, 343344, 345 (#49-50), 349 (#5-11,
18-25), 350, 351 (#45-48), 356
(#12-18), 357, 384, 385 (#9-11,
15-17), 374 (#47-48), 387 (#117, 19, 21-22), 391 (#59-70),
797 (#28-35), 802 (#1-20, 2426)
TE Only
27
Print Ancillaries,
Transparecies and
Technology
Ch1: 58-60, 62, 119; Ch6: 1215, 16-17, 23, 25-27, 28-29, 3132, 35, 36-37, 39-41, 42-43, 51,
54-56, 57-58, 105, 107, 109
21
Examples
11, 116-117, 118-119, 122-123,
125-126
Workbook
4, 39-42
Daily Homework Quiz
6, 46-49
Extra Examples
Transparencies with
9, 92-93, 94-95, 97-99
Package
39, 41
138, 148, 150, 152
Tests
5A-5B, 27A-27B, 28A-28B,
30A-30B
7
INSTRUCTION
APPLICATION
Teacher’s Edition
A1.2.4 Solve linear
inequalities using
properties of order.
Example: Solve the
inequality 8x – 7 ≤ 2x + 5,
explaining each step in your
solution.
PE/TE
334-336, 340-342, 355, 362,
384 (Review6.1-6.2)
Ch6: 16-17, 28-29
Examples
116-117, 118-120
Extra Examples
Transparencies with
92-93, 94-95
132-135
English/Spanish
Track: 6
PE/TE
337-338, 339 (#62), 343-344,
345 (#49-51), 352, 357 (#4060), 358 (#69-71), 363-365, 366
(#7-16), 384, 387 (#1-15), 388
(#2-3), 391 (#59-65), 455 (#102104), 546 (#38-41), 632 (#6971), 802
(#1-20)
Print Ancillaries,
Transparecies and
Technology
Ch6: 12, 13-15, 16-17, 20, 23,
25-27, 28-29, 32, 35, 37, 48,
105, 107, 109, 110, 117
21-22
Examples
116-117, 118-120
Workbook
39, 40, 49
Daily Homework Quiz
46, 47
Extra Examples
Transparencies with
92-93, 94-95
Package
39
148, 150, 152
Tests
27A-27B, 30A-30B
8
INSTRUCTION
APPLICATION
Teacher’s Edition
A1.2.5 Solve combined
linear inequalities.
Example: Solve the
inequalities
-7 < 3x + 5 < 11.
PE/TE
346-348, 385 (Review 6.3)
Ch6: 42-43
Examples
122-123
Extra Examples
Transparencies with
96-97
136-137
PE/TE
349-350, 351 (#45-48), 352 (#6,
9-13, 15), 385 (#9-11), 387
(#10-15), 388 (#4), 410 (#6468), 455 (#105), 538 (#91-96),
802 (#15-20)
English/Spanish
Track: 6
Print Ancillaries,
Transparecies and
Technology
Ch6: 36, 39-41, 42-43, 45, 46,
47, 48, 105, 107, 108, 111, 117
Examples
122-123
Workbook
41, 49, 94
Daily Homework Quiz
48
Package
41
148, 150, 152
Tests
28A-28B, 30A-30B
9
INSTRUCTION
APPLICATION
Teacher’s Edition
A1.2.6 Solve word
problems that involve
linear equations,
formulas, and
inequalities.
Example: You are selling
tickets for a play that cost
$3 each. You want to sell at
least $50 worth. Write and
solve an inequality for the
number of tickets you must
sell.
PE/TE
11, 134, 140-141, 147, 156,
160-162, 168, 175, 191
(Review 3.5), 334, 341-342,
346, 348
TE Only
335
Ch3: 18, 30, 44, 59, 73-74, 89;
Ch6: 29, 43
Examples
48, 51, 54, 57, 58, 59, 62, 63,
120, 123
Extra Examples
Transparencies with
37-38, 39, 42, 45-47, 49, 51,
92, 95, 97
54, 56, 58, 61-63, 65, 135-136
English/Spanish
Tracks: 3, 6
Ch6: Tutorial 2: Topic C
PE/TE
13 (#63-67), 14 (#68), 28 (#6568), 29, 104 (#70-71), 105 (#8689), 135 (#10-12, 42-44), 137
(#54-55), 142 (#12-13), 143
(#48-53), 144, 149 (#4), 150
(#50-55), 151, 152 (#65-66),
157 (#10-11), 158, 159 (#53),
163 (#3-5), 164, 165 (#22-24),
169 (#3-4), 170-171, 172 (#1112), 178, 179 (#47-49), 191
(#23-24), 193 (#19, 21-23), 195
(#15-16), 197 (#53-54), 198199, 338 (#61-67), 343 (#3637), 344 (#39-41), 350, 351
(#45, 67-69), 387 (#34-36), 389
(#15), 391 (#79-80)
TE Only
12
Print Ancillaries,
Transparecies and
Technology
Ch3: 18, 20, 21, 24, 26-28, 32,
33, 36, 37, 40-42, 46, 47, 48,
52, 55-57, 62, 63, 70-72, 73-74,
76, 77, 80, 85-87, 89, 91-92,
121, 123, 125; Ch6: 25-27, 31,
39-41, 43, 45, 46, 47
Examples
48, 51, 54, 57, 58, 59, 62, 63,
120, 123
Workbook
16-22, 40
Daily Homework Quiz
20-22, 47
Book
7
Extra Examples
Transparencies with
37-38, 39, 42, 45-48, 49-50, 5152, 92, 95, 97
Package
18, 20, 39
71, 73, 75
Tests
13A-13B, 15A-15B, 30A-30B
10
INSTRUCTION
APPLICATION
Teacher’s Edition
Print Ancillaries,
Transparecies and
Technology
STANDARD 3 Relations and Functions Students sketch and interpret graphs representing given situations.
They understand the concept of a function and analyze the graphs of functions.
PE/TE
PE/TE
A1.3.1 Sketch a
47-48, 258, 458, 479, 486
49 (#7-9), 50 (#26-27, 30, 32),
Ch1: 95, 98-100, 114; Ch4:
reasonable graph for a
(Example 5)
59 (#26), 261 (#54), 262 (#79),
112-114
given relationship.
Example: Sketch a
reasonable graph for a
person’s height from age 0
to 25.
TE Only
49, 256-257, 457, 478, 484-485
Examples
159, 170
Extra Examples
Transparencies with
15, 135
460 (#65), 481 (#21-23), 489
(#30-33), 497 (#35)
TE Only
51, 488
Examples
159, 171
Extra Examples
Transparencies with
15, 135
Tests
17A-17B, 20A-20B
PE/TE
522 (#65-66), 523 (#72-76), 567
(#17)
TE Only
521
Ch9: 43-45
Function Representation
(Part 1)
A1.3.2 Interpret a graph
representing a given
situation.
Example: Jessica is riding a
bicycle. The graph below
shows her speed as it
relates to the time she has
spent riding. Describe what
might have happened to
account for such a graph.
PE/TE
520
TE Only
519
Graph of a Function (Part 1)
Speed
Time
11
INSTRUCTION
APPLICATION
Teacher’s Edition
A1.3.3 Understand the
concept of a function,
decide if a given relation
is a function, and link
equations to functions.
Example: Use either paper
or a spreadsheet to generate
a list of values for x and y
in y = x2. Based on your
data, make a conjecture
about whether or not this
relation is a function.
Explain your reasoning.
A1.3.4 Find the domain
and range of a relation.
Example: Based on the list
of values from the last
example, what do the
domain and range of
y = x2 appear to be? How
can you decide whether you
are correct?
PE/TE
46, 256-257
TE Only
47, 49, 258
Ch1: 96, 101; Ch4: 115
96
English/Spanish
Tracks: 1, 4
PE/TE
49 (#4-6, 10-12), 50 (#28), 59
(#18), 259, 800 (#56-59)
Ch1: 98-100; Ch4: 111, 112115, 119, 122
Examples
19, 91
Workbook
7, 31
Extra Examples
Transparencies with
14, 74
Package
31
12
PE/TE
49 (#8), 50 (#29, 31), 111 (#14),
259 (#7, 14-15, 17, 19), 261
(#61)
Ch1: 99-100, 106; Ch2: 99,
103; Ch4: 111, 112-115, 119,
122, 124, 126
Examples
20, 91
Workbook
14
Daily Homework Quiz
27, 35
Extra Examples
Transparencies with
17, 34, 74-75
99, 101, 103
Tests
4A-4B
Function Representation
(Part 1); Function
Representation (Part 2)
PE/TE
46-47, 110, 256-257
TE Only
48-49, 258
Ch2: 99; Ch4: 115
Examples
19, 91
Extra Examples
Transparencies with
17, 34, 74-75
96
English/Spanish
Tracks: 2, 4
Print Ancillaries,
Transparecies and
Technology
12
INSTRUCTION
APPLICATION
Teacher’s Edition
Print Ancillaries,
Transparecies and
Technology
STANDARD 4 Graphing Linear Equations and Inequalities Students graph linear equations and inequalities
in two variables. They write equations of lines and find and use the slope and y-intercept of lines. They use
linear equations to model real data.
PE/TE
PE/TE
A1.4.1 Graph a linear
211-213, 218-220, 264 (Review 215, 216 (#72), 221 (#35-40),
Ch4: 28-30, 34-35, 38-42, 86equation.
Example: Draw the graph of
the line with slope 3 and yintercept -2.
4.2), 249-249
TE Only
210
Ch4: 31-32
Examples
73-75, 77
Extra Examples
Transparencies with
60-61, 63, 70
82-83
English/Spanish
Track: 4
222 (#56-59), 224 (#5-10), 248249, 264 (#6-9), 267 (#5-16),
366 (#79-82), 800 (#7-14)
TE Only
214
88
Examples
74-75, 77-78
Workbook
25-26
Daily Homework Quiz
30-31
Book
8
Extra Examples
Transparencies with
60-61, 63, 70
Package
25-26
Tests
17A-17B, 18A-18B, 19A-19B,
20A-20B
13
INSTRUCTION
APPLICATION
Teacher’s Edition
A1.4.2 Find the slope, xintercept and y-intercept
of a line given its graph,
its equation, or two points
on the line.
Example: Find the slope
and y-intercept of the line
4x + 6y = 12.
PE/TE
218-220, 225, 226-228, 242
(Example 2), 265 (Review 4.34.4),
TE Only
229, 241, 243
Ch4: 43-44, 58-59
Examples
76-77, 79-80, 86
Extra Examples
Transparencies with
63-66, 70-71
84-85, 87-88
English/Spanish
Track: 4
Ch4
PE/TE
221 (#44-55), 222, 223 (#6770), 224 (#11-16), 225, 230231, 233 (#66-71, 90-95), 244
(#5-11, 13-21), 245 (#52-55, 56,
61), 247 (#1-6), 265 (#10-17),
267 (#17-20), 268 (#2, 4-5,8),
278 (#49-57), 284 (#73-75), 800
(#15-30)
TE Only
232
Print Ancillaries,
Transparecies and
Technology
Ch4: 39, 40-42, 43-44, 46, 4849, 52-59, 61, 63, 86-88, 121125, 127, 133; Ch5: 24
Examples
77-80, 86
Workbook
26-27, 29
Daily Homework Quiz
31-34, 41
Extra Examples
Transparencies with
63-66, 70-71
Package
26-27, 29, 32
86
Tests
18A-18B, 19A-19B, 20A-20B
14
INSTRUCTION
APPLICATION
Teacher’s Edition
A1.4.3 Write the equation
of a line in slope-intercept
form. Understand how the
slope and y-intercept of
the graph are related to
the equation.
Example: Write the
equation of the line
4x + 6y = 12 in slopeintercept form. What is the
slope of this line? Explain
your answer.
PE/TE
241, 266 (Review 4.6), 324
(Review 5.1)
TE Only
242
Ch4: 89; Ch5: 16
Examples
85-87, 94-95
Extra Examples
Transparencies with
70
91, 107
English/Spanish
Tracks: 4, 5
PE/TE
244 (#34-45), 268 (#3), 324 (#13), 266 (#22-24), 276 (#3-8, 1219), 410 (#54-57), 800 (#40-47)
TE Only
245
Print Ancillaries,
Transparecies and
Technology
Ch4: 86-88, 89, 92, 94, 124,
126, 133; Ch5: 16, 106-112
Examples
85-87, 94, 96
Workbook
32
Daily Homework Quiz
38-39
Extra Examples
Transparencies with
70
Package
29
101, 103, 124, 126, 128
Tests
19A-19B, 22A-22B, 25A-25B
14-15
15
INSTRUCTION
APPLICATION
Teacher’s Edition
of a line given
appropriate information.
Example: Find an equation
of the line through the
points (1, 4) and (3, 10),
then find an equation of the
line through the point (1, 4)
perpendicular to the first
line.
PE/TE
273-275, 279-281, 285-287,
324, 325 (Review 5.3)
Ch5: 16, 29, 30, 43
Examples
94-97, 99-101
Extra Examples
Transparencies with
76-77, 79-81
107, 109-111
English/Spanish
Track: 5
PE/TE
276-277, 278 (#38-40), 282-283,
284 (#50-51), 288-290, 291 (#113), 324 (#1-6), 325 (#7-10),
327 (#1-12, 19), 328 (#1-2, 6-7),
403 (#53-58), 416 (#57-64), 801
(#1-20)
Print Ancillaries,
Transparecies and
Technology
Ch5: 13-15, 19-20, 24, 26-28,
29-30, 33, 36-37, 40-44, 47-48,
106-113
Examples
94, 97, 99, 101-102
Workbook
32-34
Daily Homework Quiz
38-40
Extra Examples
Transparencies with
76-77, 79-81
Package
32-34
123-128
Tests
22A-22B, 25A-25B
14
16
INSTRUCTION
APPLICATION
Teacher’s Edition
of a line that models a
data set and use the
equation (or the graph of
the equation) to make
predictions. Describe the
slope of the line in terms
of the data, recognizing
that the slope is the rate of
change.
Example: As your family is
traveling along an
interstate, you note the
distance traveled every 5
minutes. A graph of time
and distance shows that the
relation is approximately
linear. Write the equation of
the line that fits your data.
Predict the time for a
journey of 50 miles. What
does the slope represent?
PE/TE
229, 274-275, 281, 287
TE Only
227-228
Ch4: 59; Ch5: 17, 30
Examples
81, 95, 99
Extra Examples
Transparencies with
66, 76-77, 79-80, 82
87, 108, 110
English/Spanish
Tracks: 4, 5
Rate of Change
PE/TE
231 (#52-55), 232, 267 (#33),
277, 278 (#38-40), 282 (#11),
283 (#42-49), 284 (#50-51), 289
(#48-50, 51-52), 290 (#53-57),
431 (#4-48)
TE Only
276, 288
Print Ancillaries,
Transparecies and
Technology
Ch4: 55-57, 59, 62, 123, 125127; Ch5: 15, 17, 19-20, 27-28,
30, 32-33, 42, 46-47
Examples
81, 96, 99
Workbook
27
Daily Homework Quiz
32
Extra Examples
Transparencies with
66, 76-77, 79-80, 82
102-104
Tests
20A-20B, 25A-25B
17
INSTRUCTION
APPLICATION
Teacher’s Edition
A1.4.6 Graph a linear
inequality in two
variables.
the inequality
6x + 8y ≥ 24.
PE/TE
360-362, 367, 385 (Review 6.5)
Ch6: 70
Examples
127-129
Extra Examples
Transparencies with
100-101
141
English/Spanish
Track: 6
PE/TE
363-364, 365 (#70-73), 366
(#17-22), 367, 385 (#18-21),
802 (#28-35)
Print Ancillaries,
Transparecies and
Technology
Ch6: 65, 67-69, 71, 73-75, 110111
Examples
128-129
Workbook
43
Daily Homework Quiz
50
Book
12
Extra Examples
Transparencies with
100-101
Package
43
Tests
28A-28B, 30A-30B
18
INSTRUCTION
APPLICATION
Teacher’s Edition
Print Ancillaries,
Transparecies and
Technology
STANDARD 5 Pairs of Linear Equations and Inequalities Students solve pairs of linear equations using
graphs and using algebra. They solve pairs of linear inequalities using graphs. They solve word problems
involving pairs of linear equations.
PE/TE
PE/TE
A1.5.1 Use a graph to
398-400, 404, 440 (Review 7.1) 401-402, 403 (#40-46), 404 (#1Ch7: 13, 15-17, 18-19, 21, 95,
estimate the solution of a
5), 417 (#1-3), 438 (#2-7), 440
97, 99, 101
pair of linear equations in Chapter Resource Books
(#1-6),
443
(#1-6),
444
(#1),
800
two variables.
Ch7: 18-19
(#1-8)
Example: Graph the
equations 3y - x = 0 and
2x + 4y = 15 to find where
the lines intersect.
Examples
136-138
Extra Examples
Transparencies with
108-109
157-158
English/Spanish
Track: 7
Ch7
Examples
137-138
Workbook
50
Daily Homework Quiz
54
Book
14-15
Extra Examples
Transparencies with
108-109
Package
46
Tests
32A-32B, 35A-35B
19
INSTRUCTION
APPLICATION
Teacher’s Edition
A1.5.2 Use a graph to find
the solution set of a pair of
linear inequalities in two
variables.
Example: Graph the
inequalities y ≤ 4 and
x + y ≤ 5. Shade the region
where both inequalities are
true.
PE/TE
432, 442
TE Only
433
Ch7: 82, 88
Examples
151, 153
Extra Examples
Transparencies with
118-119
168
English/Spanish
Track: 7
PE/TE
436 (#27-29), 437 (#40-41), 438
(#8-13), 442 (#27-32), 443 (#2527), 445 (#12), 800 (#36-43)
TE Only
435
Print Ancillaries,
Transparecies and
Technology
Ch7: 82, 85-88, 93, 96, 97,
100, 107
Examples
152, 153
Workbook
35
Daily Homework Quiz
58
Extra Examples
Transparencies with
118-119
Package
51
172, 174, 176
Tests
34A-34B, 35A-35B
20
INSTRUCTION
APPLICATION
Teacher’s Edition
use the substitution
method to solve a pair of
linear equations in two
variables.
Example: Solve the
equations y = 2x and
2x + 3y =12 by substitution.
PE/TE
405-407, 440 (Review 7.2)
Ch7: 31-32
Examples
139-140
Extra Examples
Transparencies with
110-111
159-160
English/Spanish
Track: 7
Ch7
PE/TE
408-409, 410 (#48-52), 416
(#67-72), 417 (#4-6), 440 (#712), 443 (#7-12), 803 (#9-16)
Print Ancillaries,
Transparecies and
Technology
Ch7: 26, 28-30, 31-32, 94-95,
97, 99, 107
Examples
139, 141
Workbook
51
Daily Homework Quiz
55-56
Extra Examples
Transparencies with
110-111
Package
47
171, 173, 175
Tests
32A-32B, 35A-35B
21
INSTRUCTION
APPLICATION
Teacher’s Edition
use the addition or
subtraction method to
solve a pair of linear
equations in two
variables.
Example: Use subtraction to
solve the equations:
3x + 4y = 11, 3x + 2y = 7.
PE/TE
411-413, 441 (Review 7.3)
Ch7: 43, 44
Examples
142
Extra Examples
Transparencies with
112-113
161-162
English/Spanish
Track: 7
Ch7
PE/TE
414-415, 416 (#49-56), 441
(#13-18), 443 (#13-18), 803
(#17-24)
Print Ancillaries,
Transparecies and
Technology
Ch7: 39, 40-44, 46-47, 49, 95,
97, 99
Examples
143
Workbook
52
Daily Homework Quiz
56
Book
16
Extra Examples
Transparencies with
112-113
Package
48
Tests
33A-33B, 35A-35B
22
INSTRUCTION
APPLICATION
Teacher’s Edition
use multiplication with
the addition or
subtraction method to
solve a pair of linear
equations in two
variables.
Example: Use
multiplication with the
subtraction method to solve
the equations:
x + 4y = 16,
3x = 2y = -3.
PE/TE
412-413, 441 (Review 7.3)
Ch7: 43, 44
Examples
142-143
Extra Examples
Transparencies with
112-113
161-162
English/Spanish
Track: 7
Ch7
PE/TE
414-415, 416 (#49-56), 441
(#13-18), 443 (#13-18), 803
(#17-24),
Print Ancillaries,
Transparecies and
Technology
Ch7: 39, 40-44, 46-47, 49, 95,
97, 99
Examples
143-144
Workbook
52
Daily Homework Quiz
56
Book
16
Extra Examples
Transparencies with
112-113
Package
49
171, 173, 175
Tests
33A-33B, 35A-35B
23
INSTRUCTION
APPLICATION
Teacher’s Edition
A1.5.6 Use pairs of linear
equations to solve word
problems.
Example: The income a
company makes from a
certain product can be
represented by the equation
y = 10.5x and the expenses
for that product can be
represented by the equation
y = 5.25x + 10,000, where x
is the amount of the product
sold and y is the number of
dollars. How much of the
product must be sold for the
company to reach the
break-even point?
PE/TE
397, 400, 407, 413, 418-420,
441 (Review 7.4)
TE Only
399, 406, 412
Ch7: 19, 32, 44, 57, 58
Examples
137-138, 140-141, 143-144,
145-146
Extra Examples
Transparencies with
109-110, 113-115
157, 160, 162, 164-165
English/Spanish
Track: 7
PE/TE
397, 402 (#35-39), 403 (#40),
408 (#42-47), 410 (#52-53), 415
(#43-48), 421 (#6-9), 422 (#4651), 423, 424 (#61-62), 441
(#19-20), 445 (#16), 803 (#2627)
Print Ancillaries,
Transparecies and
Technology
Ch7: 15-17, 19, 21, 22, 28-30,
32, 35, 39, 40-42, 44, 46-47,
53, 54-58, 60-61, 95, 97, 99
Examples
138, 141, 144, 146-147
Workbook
50, 52, 53
Daily Homework Quiz
54-57
Extra Examples
Transparencies with
109-110, 113-115
Package
48-49
163, 171, 176, 175
Tests
33A-33B, 35A-35B
23-24
24
INSTRUCTION
APPLICATION
Teacher’s Edition
Print Ancillaries,
Transparecies and
Technology
STANDARD 6 Polynomials Students add, subtract, multiply, and divide polynomials. They factor quadratics.
PE/TE
PE/TE
A1.6.1 Add and subtract
575,
577-579,
634
(Review
575,
579-581,
582
(#70),
583
Ch10: 12, 13, 15-17, 18-19, 21polynomials.
Example: Simplify
(4x2 – 7x + 2) –
(x2 + 4x – 5).
10.1)
TE Only
576
Ch10: 18-19
Examples
196-198
Extra Examples
Transparencies with
154
230-231
English/Spanish
Track: 10
(#3-8), 596 (#1-4), 634 (#1-4),
637 (#1-4), 638 (#3), 675 (#5558), 757 (#36-39), 806 (#1-6)
22, 120, 122, 124, 126
36-42
Examples
197-198
Workbook
70
Daily Homework Quiz
77
Extra Examples
Transparencies with
155-156
Package
66
248, 250, 252, 254
Tests
47A-47B, 50A-50B
25
INSTRUCTION
APPLICATION
Teacher’s Edition
A1.6.2 Multiply and
divide monomials.
Example: Simplify
a2b5 ÷ ab2.
PE/TE
450-451, 463-464, 465
(Example 4), 494 (Review 8.1),
495 (Review 8.3)
TE Only
449
Ch8: 18-19, 46-47
Examples
154-155, 160-161
Extra Examples
Transparencies with
120
180-181, 184-185
English/Spanish
Track: 8
PE/TE
449, 453, 455 (#84-85), 466,
469 (#1-3, 8, 13-14, 17, 19-23),
475 (#82-83), 494 (#1-8), 495
(#21-32), 497 (#1, 5, 7, 9, 11),
498 (#1, 5-6), 589 (#62-73), 595
(#63-68), 804 (#1-8, 21-24)
Print Ancillaries,
Transparecies and
Technology
Ch8: 12, 13, 15-17, 18-19, 25,
43-45, 46-47, 100-105, 106
Examples
154-156, 160-161
Workbook
56, 58
Daily Homework Quiz
60, 61, 63
Extra Examples
Transparencies with
120, 122
Package
54
194-200
Tests
37A-37B, 38A-38B
26
INSTRUCTION
APPLICATION
Teacher’s Edition
A1.6.3 Find powers and
roots of monomials (only
when the answer has an
integer exponent).
Example: Find the square
root of a2b6
PE/TE
450-451
TE Only
452
Ch8: 18-19
Examples
154-155
Extra Examples
Transparencies with
120
180-181
English/Spanish
Track: 8
PE/TE
453 (#4-9, 22-54)
Print Ancillaries,
Transparecies and
Technology
Ch8: 12, 13, 15-17, 18-19, 22,
100, 102-104
Examples
154-155
Workbook
56
Daily Homework Quiz
60-61
Extra Examples
Transparencies with
120, 122
Package
52
194-199
Tests
37A-37B, 40A-40B
27
INSTRUCTION
APPLICATION
Teacher’s Edition
A1.6.4 Multiply
polynomials.
Example: Multiply
(n + 2)(4n – 5).
PE/TE
584-586, 590, 591 (Examples
1and 2), 592, 634 (Review
10.2), 635 (Review 10.3)
Ch10: 32-33, 44-45
Examples
199-201, 202-203
Extra Examples
Transparencies with
157, 159
232-235
English/Spanish
Track: 10
PE/TE
587-588, 589 (#61), 593-594,
596 (#5-9, 11-17), 609 (#79-86),
634 (#7-10), 635 (#11-14), 637
(#5-13), 714 (#79-84), 728 (#8893), 806 (#10-22)
Print Ancillaries,
Transparecies and
Technology
Ch10: 26, 27, 29-31, 32-33, 35,
36, 39, 40, 41-43, 44-45, 47,
50, 120, 122, 124, 126
42-46
Examples
199-201, 202-203
Workbook
71-72
Daily Homework Quiz
78-80
Book
21-23
Extra Examples
Transparencies with
157, 159, 161
Package
67, 68
248, 250, 252
Tests
47A-47B, 50A-50B
28
INSTRUCTION
APPLICATION
Teacher’s Edition
A1.6.5 Divide polynomials
by monomials.
Example: Divide
4x3y2 + 8xy4 – 6x2y5 by 2xy2.
A1.6.6 Find a common
monomial factor in a
polynomial.
Example: Factor
36xy2 + 18xy4 – 12x2y4.
Print Ancillaries,
Transparecies and
Technology
PE/TE
684, 702 (Review 11.7)
TE Only
685-686
Ch11: 100 (Example 1)
Examples
238
Extra Examples
Transparencies with
188
271 (Example 1)
English/Spanish
Track: 11
PE/TE
687 (#10, 15-22), 697 (#1-2),
702 (#23), 703 (#13-14), 807
(#37)
Ch11: 97-99, 100
Examples
238
Workbook
84
Daily Homework Quiz
92
Extra Examples
Transparencies with
188
Package
80
Tests
54A-54B, 55A-55B
PE/TE
625, 626 (Examples 3-4), 636
(Review 10.8)
Ch10: 114 (Examples 1and 2)
Extra Examples
Transparencies with
171
246
English/Spanish
Track: 10
PE/TE
629 (#6-8, 9, 11, 15-28), 632
(#13-18), 636 (#29-30), 637
(#27-28, 31-33), 806 (#63-65,
67, 69)
Ch10: 110, 111-113, 114
Examples
217-218
Workbook
77
Daily Homework Quiz
85
Extra Examples
Transparencies with
171
Package
73
Tests
49A-49B, 50A-50B
29
INSTRUCTION
APPLICATION
Teacher’s Edition
A1.6.7 Factor the
difference of two squares
and other quadratics.
Example: Factor 4x2 – 25
and 2x2 – 7x + 3.
PE/TE
604-605, 611-612, 619, 635
(Review 10.5), 636 (Review
10.6-10.7)
TE Only
606, 613, 620-621
Ch10: 72-73, 86-87, 102
Examples
208-209, 211-212, 214-215
Extra Examples
Transparencies with
164, 167, 169
239 – 242, 244
English/Spanish
Track: 10
Ch10
PE/TE
607 (#5-8, 12-26), 609 (#68-71),
614, 616 (#74), 617 (#10-18),
622 (#6-11, 18-26 42, 4648,50), 624 (#70-71), 635 (#1921), 636 (#22-28), 637 (#26-33),
638 (#5,7), 736 (#103-108), 743
(#64-69), 806 (#39-62)
TE Only
608
Print Ancillaries,
Transparecies and
Technology
Ch10: 68, 69-71, 72-73, 83-85,
86-87, 89, 95, 99-101, 102,
121, 123, 125
47-51
Examples
208-209, 211-212, 214-215
Workbook
74-76
Daily Homework Quiz
81-83
Extra Examples
Transparencies with
164, 167, 169
Package
70-72
243, 249, 251, 253
Tests
48A-48B, 49A-49B
30
INSTRUCTION
APPLICATION
Teacher’s Edition
describe the relationships
among the solutions of an
equation, the zeros of a
function, the x-intercepts
of a graph, and the factors
of a polynomial
expression.
Example: A graphing
calculator can be used to
solve 3x2 – 5x – 1 = 0 to the
nearest tenth. Justify using
the x-intercepts of
y = 3x2 – 5x – 1 as the
solutions of the equation.
PE/TE
597-599, 635 (Review 10.4)
Ch10: 59-60
Examples
205-207
Extra Examples
Transparencies with
162
237-238
English/Spanish
Track: 10
PE/TE
600-601, 602 (#59-60), 609
(#87-95), 617 (#1-6), 636 (#1518), 637 (#14-25, 36, 38-39,
43), 736 (#97-102), 806 (#2338)
Print Ancillaries,
Transparecies and
Technology
Ch10: 55, 56-58, 59-60, 62,
120, 122, 124
Examples
205-207
Workbook
73
Daily Homework Quiz
80
Extra Examples
Transparencies with
162-163
248, 250, 252
Tests
48A-48B, 50A-50B
31
INSTRUCTION
APPLICATION
Teacher’s Edition
Print Ancillaries,
Transparecies and
Technology
STANDARD 7 Algebraic Fractions Students simplify algebraic ratios and solve algebraic proportions.
PE/TE
PE/TE:
A1.7.1 Simplify algebraic
464
(Example
3b),
664-665,
466
(#31-33,
36-39),
469
(#17Ch8: 43-45, 47; Ch11: 57-59,
ratios.
x
Example: Simplify
x
2
2
− 16
+ 4x
701 (Review 11.4)
TE Only
666
Ch8: 47 (Example 2); Ch11:
60-61
Examples
161, 229
Extra Examples
Transparencies with
126-127, 182-183
185, 264-265
English/Spanish
Tracks: 8, 11
19), 495 (#27-30), 661 (#61-64),
667 (#1-23), 668 (#30-31), 669
(#40), 682 (#1-4), 701 (#11-14),
804 (#23-24)
60-61, 131-132
Examples
161, 229
Workbook
58, 81
Daily Homework Quiz
63, 89
Extra Examples
Transparencies with
126-127, 182-183
275, 277, 279
Tests
38A-38B, 40A-40B, 53A-53B,
55A-55B
32
INSTRUCTION
APPLICATION
Teacher’s Edition
A1.7.2 Solve algebraic
proportions.
Example: Create a tutorial
to be posted to the school’s
web site to instruct
beginning students in the
steps involved in solving an
algebraic proportion. Use
x+5
=
3x + 5
4
example.
7
as an
PE/TE
643-645, 700 (Review 11.1)
Ch11: 12, 13-15, 16-17
Examples
220, 222
Extra Examples
Transparencies with
174-175
257-258
English/Spanish
Track: 11
PE/TE
646-647, 648 (#48-49), 663 (#14), 669 (#41), 689 (#65-70), 700
(#1-4), 807 (#1-8)
Print Ancillaries,
Transparecies and
Technology
Ch11: 16-17, 19-20, 120, 122,
124, 131
Examples
221-222
Workbook
78
Daily Homework Quiz
86
Book
25
Extra Examples
Transparencies with
174-175
275, 277, 279
Tests
52A-52B, 55A-55B
33
INSTRUCTION
APPLICATION
Teacher’s Edition
STANDARD 8 Quadratic, Cubic, and Radical Equations Students graph and solve
equations. They graph cubic equations.
PE/TE
PE/TE
A1.8.1 Graph quadratic,
517-520, 563 (Review 9.3),
517, 521 (#11-19), 522 (#44cubic, and radical
709-711, 766 (Review 12.1)
64), 523 (#77), 524 (#23-25),
equations.
y = x2 – 3x + 2. Using a
graphing calculator or a
spreadsheet (generate a
data set), display the graph
to check your work.
Ch9: 46-47; Ch11: 17-18
Examples
178-179, 244-245
Extra Examples
Transparencies with
142-143, 193
207-208, 257-258
English/Spanish
Tracks: 9, 11
563 (#11-13), 565 (#22-23), 711
(#45-56), 766 (#1-3), 805 (#2633), 808 (#1-8)
TE Only
712
Print Ancillaries,
Transparecies and
Technology
quadratic and radical
Ch9: 37-38, 43-45, 46-47, 4951, 126, 128, 130; Ch11: 14-16
Examples
178-179, 244-245
Workbook
64, 86
Daily Homework Quiz
70
Book
19-20
Extra Examples
Transparencies with
142-143, 193
Package
60
221, 223, 225, 227
Tests
43A-43B, 45A-45B, 57A-57B,
60A-60B
34
INSTRUCTION
APPLICATION
Teacher’s Edition
A1.8.2 Solve quadratic
equations by factoring.
Example: Solve the
equation x2 – 3x + 2 = 0 by
factoring.
equations in which a
perfect square equals a
constant.
Example: Solve the
equation (x – 7)2 = 64.
Print Ancillaries,
Transparecies and
Technology
PE/TE
606, 613, 635 (Review 10.5)
TE Only
604-605, 611-612
Ch10: 73 (Example 4), 87
(Example 3)
Examples
208-210, 213
Extra Examples
Transparencies with
165, 167
239, 242
English/Spanish
Track: 10
Ch10
PE/TE
607 (#27-41), 608 (#48-51), 615
(#33-47, 48-59), 636 (#19-21),
637 (#20-25, 35-43), 806 (#3954)
Ch10: 69-71, 83-85, 89, 91,
121, 123, 125
47-51
Examples
208-210, 213
Workbook
74-75
Daily Homework Quiz
81-82
Extra Examples
Transparencies with
165, 168
Package
70-71
249, 251, 253
Tests
48A-48B, 49A-49B, 50A-50B
PE/TE
731, 767 (Review12.4)
TE Only
732-733
Ch12: 59 (Example 2b)
Examples
253-254
Extra Examples
Transparencies with
199
292
English/Spanish
PE/TE
735 (#58, 61, 65), 808 (#23-26),
767 (#13,15), 769 (#13-14)
Ch12: 55-57, 59, 121, 123, 125
Examples
254-255
Daily Homework Quiz
98
Extra Examples
Transparencies with
199
Package
85
303, 305, 307
Tests
58A-58B, 60A-60B
Track: 12
35
INSTRUCTION
APPLICATION
Teacher’s Edition
A1.8.4 Complete the
square to solve quadratic
equations.
Example: Solve the
equation x2 – 7x + 9 = 0 by
completing the square.
A1.8.5 Derive the
quadratic formula by
completing the square.
Print Ancillaries,
Transparecies and
Technology
PE/TE
730-731, 767
TE Only
732
Ch12: 58-59
Examples
253-254
Extra Examples
Transparencies with
199-200
291-292
English/Spanish
Track: 12
PE/TE
734 (#32-49), 767 (#14), 769
(#15), 808 (#23-28)
Ch12: 55-57, 58-59, 121, 123,
125
Examples
254-255
Workbook
89
Daily Homework Quiz
98
Extra Examples
Transparencies with
199-200
303, 305, 307
Tests
58A-58B, 60A-60B
PE/TE
732
TE Only
731
PE/TE
546 (#32-34), 732, 736 (#80)
Workbook
66
Example: Prove that the
equation ax2 + bx + c = 0
has solutions
x=
− b ± b 2 − 4 ac
2a
36
INSTRUCTION
APPLICATION
Teacher’s Edition
equations by using the
quadratic formula.
Example: Solve the
equation x2 – 7x + 9 = 0.
PE/TE
533-535, 539, 563
Ch9: 76
Examples
184
Extra Examples
Transparencies with
146
212
English/Spanish
Track: 9
PE/TE
536-537, 538 (#84), 539, 547
(#4-9), 553 (#62-67), 563 (#1820), 624 (#94-96), 675 (#52-54),
714 (#73-78), 805 (#42-49)
Print Ancillaries,
Transparecies and
Technology
Ch9: 70, 73-75, 76, 126, 128,
130
Examples
185
Workbook
66
Daily Homework Quiz
72
Extra Examples
Transparencies with
146
Package
62
221, 223, 225, 227
Tests
43A-43B, 45A-45B
37
INSTRUCTION
APPLICATION
Teacher’s Edition
A1.8.7 Use quadratic
equations to solve word
problems.
Example: A ball falls so
that its distance above the
ground can be modeled by
the equation
s = 100 – 16t2, where s is
the distance above the
ground in feet and t is the
time in seconds. According
to this model, at what time
does the ball hit the
ground?
PE/TE
535, 543 733 (Example 6)
TE Only
541-542
Ch9: 77, 90
Examples
185, 188
Extra Examples
Transparencies with
146-147, 149
213, 215
English/Spanish
Track: 9
PE/TE
536 (#22), 537 (#71-83), 538
(#84), 545 (#24-30), 546 (#31),
565 (#29-31), 567 (#17), 569
(#66-67)
Print Ancillaries,
Transparecies and
Technology
Ch9: 73-75, 77, 83, 86-88, 90,
126-131
Examples
186, 189
Workbook
66
Daily Homework Quiz
72-73
Extra Examples
Transparencies with
146-147, 149
221-226
Tests
43A-43B, 44A-44B, 45A-45B
38
INSTRUCTION
APPLICATION
Teacher’s Edition
A1.8.8 Solve equations
that contain radical
expressions.
Example: Solve the
equation √(x+6) = x.
PE/TE
722-724, 767 (Review12.3)
Ch12: 44 (Example 1)
Examples
250
Extra Examples
Transparencies with
197-198
288
English/Spanish
Track: 12
PE/TE
725-726, 727 (#71-72), 728
(#11-17), 767 (#10-12), 808
(#17-22)
Print Ancillaries,
Transparecies and
Technology
Ch12: 41-43, 44, 47, 49, 121,
123, 125, 127
Examples
250
Workbook
88
Daily Homework Quiz
97
Extra Examples
Transparencies with
197-198
Package
84
303, 305, 307, 309
Tests
58A-58B, 60A-60B
39
INSTRUCTION
APPLICATION
Teacher’s Edition
A1.8.9 Use graphing
technology to find
approximate solutions of
quadratic and cubic
equations.
Example: Use a graphing
calculator to solve
3x 2 – 5x – 1 = 0 to the
nearest tenth.
PE/TE
526-528, 532, 534 (Example 3),
563 (Review9.4)
Ch9: 62-63
Examples
181-182
Extra Examples
Transparencies with
144-145
210-211
English/Spanish
Track: 9
Ch9
PE/TE
529-530, 531 (#57-64), 532, 547
(#1-3), 563 (#14-17), 565 (#1516), 595 (#75-80), 805 (#34-41)
Print Ancillaries,
Transparecies and
Technology
Ch9: 55, 59-61, 126, 128, 130
Examples
181-182
Workbook
65
Daily Homework Quiz
71
Extra Examples
Transparencies with
144-145
Package
61
221, 223, 225
Tests
43A-43B, 45A-45B
40
INSTRUCTION
APPLICATION
Teacher’s Edition
STANDARD 9 Mathematical Reasoning and Problem
problems.
PE/TE
A1.9.1 Use a variety of
31, 32-34, 39, 48, 55
problem solving
(Review1.5), 95 (Example 4),
strategies, such as
110 (Example 4), 141
drawing a diagram,
(Example 5), 147 (Example 7)
making a chart, guess160-162, 168, 220, 229, 258,
and-check, solving a
274-275, 310, 315, 316-318,
simpler problem, writing
342, 348, 362, 400, 477, 506,
an equation, and working 586, 645, 651, 739 (Example
backwards.
2), 795-796
Example: Fran has scored
16, 23, and 30 points in her
last three games. How many
points must she score in the
next game so that her four
game average does not fall
below 20 points?
TE Only
478
Ch1: 73-74; Ch3: 73-74; Ch5:
101-102; Ch7: 73-74
Examples
92-93, 96-97, 101-103
Examples
13-14, 58-59, 112-114, 148-150
Extra Examples
Transparencies with
10-11, 46-48, 90-91, 116-117
10-11, 62-63, 121-122, 166-167
English/Spanish
Tracks: 1, 3, 5, 7
Ch1: Tutorial 4: Topic A,C
Print Ancillaries,
Transparecies and
Technology
Solving Students use a variety of strategies to solve
PE/TE
31, 35-37, 39 (Math/History 12), 55 (#22), 97 (#61-65), 163
(#3-5), 164 (#14-16, 18-21), 16
(#22-26), 216 (#67-70), 277
(#28-29), 312 (#64-66), 315,
320-321, 343 (#36-37), 351
(#45), 363 (#13-14), 401 (#810), 402 (#35-39), 480 (#6-18),
509 (#80), 589 (#60), 647, 652
(#9), 743 (#45), 789, 796
TE Only
319
Ch1: 69, 70-72, 73-74, 76-77;
Ch3: 67, 70, 72, 73-74, 76-77;
Ch5: 95, 98-100, 101-102, 104105; Ch7: 70-72, 73-74
1-51
Examples
92-105
Examples
13, 15, 58, 60, 112-113, 148150
Workbook
5, 20, 38, 54
Daily Homework Quiz
6, 7, 23, 24, 43, 44, 57, 58
Book
5
Extra Examples
Transparencies with
10-11, 46-48, 90-91, 116-117
Package
5, 18, 20, 34-35, 46
Tests
3A-3B, 4A-4B, 5A-5B, 13A13B, 15A-15B, 24A-24B, 25A25B, 32A-32B, 35A-35B
41
INSTRUCTION
APPLICATION
Teacher’s Edition
A1.9.2 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 10
points. Is his answer
reasonable? Why or why
not?
PE/TE
24 (Example 2), 26, 66
(Example 3), 210 (Example 1),
398-399
TE Only
65
Ch1: 61-62; Ch4: 31
Examples
10-11, 73, 136
Extra Examples
Transparencies with
37, 60
8-9, 82
English/Spanish
Tracks: 1, 4
PE/TE
21 (#55), 27 (#8, 14-25), 28
(#38-55, 65-66), 39 (#7-12), 45
(#22-25), 55 (#18-21), 67 (#3),
68 (#54-57), 77 (#61, 74-79), 84
(#82-83), 99 (#6-7), 103 (#1924), 106 (#92-93), 131 (#10),
148 (#10-15), 165 (#23-26), 206
(#2), 214 (#15-20), 223 (#69),
392-393, 425 (#5-10), 797 (#2835)
Print Ancillaries,
Transparecies and
Technology
Ch1: 61-62, 64; Ch2: 93; Ch4:
28-30; Ch7: 15-17, 22
Examples
10-11, 73, 136
Workbook
4, 25
Daily Homework Quiz
6, 30, 54
Extra Examples
Transparencies with
37, 60
Tests
3A-3B
42
INSTRUCTION
APPLICATION
Teacher’s Edition
A1.9.3 Use the properties
of the real number system
and the order of
operations to justify the
steps of simplifying
functions and solving
equations.
Example: Given an
argument (such as
3x + 7 > 5x + 1, and
therefore -2x > -6, and
therefore x > 3), provide a
visual presentation of a
step-by-step check,
highlighting any errors in
the argument.
PE/TE
100-102, 108-109, 133-134,
138-139, 145-147, 154-155,
161, 340
TE Only
133, 140, 156
Ch3: 17-18, 43-44, 59, 88-89,
103
Examples
46-47, 49, 52-53, 55-56, 61-62,
65
Extra Examples
Transparencies with
108
53-54, 57-58, 61, 64-65, 68
English/Spanish
Track: 3
PE/TE
103 (#3,4), 106 (#93), 111 (#5),
135 (#13-20), 141 (#3, 4-11),
149 (#41-44), 157 (#3), 158
(#42), 333 (#6-7), 343 (#3-4)
Print Ancillaries,
Transparecies and
Technology
Ch3: 17-18, 43-44, 59, 88-89,
103
Examples
46-47, 49, 52-53, 55-56, 61-62,
66
Extra Examples
Transparencies with
108
Tests
12A-12B
Algebra
Ch3
43
INSTRUCTION
APPLICATION
Teacher’s Edition
A1.9.4 Understand that
the logic of equation
solving begins with the
assumption that the
variable is a number that
satisfies the equation, and
that the steps taken when
solving equations create
new equations that have,
in most cases, the same
solution set as the
original. Understand that
similar logic applies to
solving systems of
equations simultaneously.
Example: Try “solving” the
equations x + 3y = 5 and
5x + 15y = 25
simultaneously, and explain
what went wrong.
PE/TE
24, 26, 210 (Example 1), 398399
Ch1: 61-62; Ch4: 31
Examples
10, 73, 136
Extra Examples
Transparencies with
8
8-9, 82
English/Spanish
Tracks: 1, 4
PE/TE
27 (#14-25), 28 (#38-55), 214
(#15-20), 401 (#3-7, 11-16)
Print Ancillaries,
Transparecies and
Technology
Ch1: 58-60; Ch4: 28-30; Ch7:
15-17, 22
Examples
10, 73, 136
Workbook
4, 25, 50
Daily Homework Quiz
6. 30. 54
Extra Examples
Transparencies with
8
Package
89
Tests
3A-3B, 32A-32B
PE/TE
157 (#2)
A1.9.5 Decide whether a
given algebraic statement
is true always, sometimes,
or never (statements
involving linear or
quadratic expressions,
equations, or
inequalities).
Example: Is the statement
x 2 – 5x + 2 = x2 + 5x + 2
true always, sometimes, or
never? Explain your answer.
A1.9.6 Distinguish
between inductive and
deductive reasoning,
identifying and providing
examples of each.
PE/TE
187-188, 739
PE/TE
188, 231 (#47-48), 239 (#43),
739, 742 (#34-38)
Example: What type of
reasoning are you using
when you look for a
pattern?
44
INSTRUCTION
APPLICATION
Teacher’s Edition
A1.9.7 Identify the
hypothesis and conclusion
in a logical deduction.
Example: What is the
hypothesis and conclusion
in this argument: If there is
a number x such that
2x + 1 = 7, then x = 3.
PE/TE
739
TE Only
740
Ch7: 73
166
English/Spanish
Print Ancillaries,
Transparecies and
Technology
PE/TE
741 (#2), 742 (#34-38)
TE Only
743
Ch2: 71-72
Daily Homework Quiz
99
PE/TE
67 (#3), 68 (#54-57), 71 (#1013), 186 (#49-54), 762 (#19-21,
23), 764 (#13-14), 808 (#49)
Ch12: 112-114,115
Examples
266
Extra Examples
Transparencies with
210
Track: 7
A1.9.8 Use
counterexamples to show
that statements are false,
recognizing that a single
counterexample is
sufficient to prove a
general statement false.
Example: Use the
demonstration-graphing
calculator on an overhead
projector to produce an
example showing that this
statement is false: all
quadratic equations have
two different solutions.
PE/TE
66 (Example 9), 71, 760
(Example 3)
TE Only
65
Examples
266
Extra Examples
Transparencies with
209
45

Indiana Academic Standards for Algebra 1

Transcription

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