Calculus
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6/20032002
Publisher’s Questionnaire
and Correlations to the
Sunshine State Standards
and
Curriculum Framework for Calculus
C A L C U LU S IWITH PRECALCULUS
Page 1
©1999 S
tate of Florida
Divisio
n o
f Pu
blic S
cho
ols an
d C
om
mu
nity E
du
cation
Bureau of C
urriculum, Instruction and A
ssessment
Instructional Materials and Library M
edia
PU
BLIS
HE
R’S
QU
ES
TION
NA
IRE
2003–2004 INS
TRU
CTIO
NA
L MA
TER
IALS
AD
OP
TION
DIR
EC
TIO
NS
: Use this form
to report information about the instructional m
aterials submitted. A
nswer
the questions on this form and include attachm
ents as needed such as “LicensingP
olicy/Agreem
ents,” “Correlation to C
urriculum S
tandards.”
The instructional m
aterials evaluation comm
ittee will review
the responses to this questionnaire, the attachments,
and the actual materials subm
itted. The com
mittees w
ill rate and comm
ent on how w
ell each submission satisfies
the requirements of the criteria. P
ossible ratings are as follows: ν
TH
OR
OU
GH
LY ν
H
IGH
LY
ν
AD
EQ
UA
TE
LY
ν M
INIM
ALLY
or ν N
OT
AT
ALL.
The S
tate Instructional Materials C
omm
ittee will vote F
OR
or AG
AIN
ST
adoption. Results w
ill be reported in theS
tate Com
mittee E
valuation Report. T
he Com
missioner of E
ducation will use com
mittee recom
mendations and
cost information in m
aking the final adoption decisions.
IDE
NT
IFIC
AT
ION
OF
SU
BM
ISS
ION
Pu
blish
er M
cDo
ug
al Littell
Su
bject A
rea in w
hich
Su
bm
itting
9-12 Mathem
atics
Co
urse fo
r Wh
ich S
ub
mittin
g Use exact title as it appears in the IN
ST
RU
CT
ION
AL M
AT
ER
IALS
SP
EC
IFIC
AT
ION
S. O
nly ON
E
course may be designated
9-12 Mathem
atics / Calculus
Title o
f Su
bm
ission
C
alculu
s I with
Precalcu
lus
Authors List full nam
e of author(s). Give m
ajor or senior author first.
R
on
Larso
n, R
ob
ert Ho
stetler, and
Bru
ce Ed
ward
s
Students and G
rade Levels Describe the type(s) of students and grade level(s) for w
hich this submission is intended.
This text is intended for use w
ith students studying first year calculus.
Page 2
©1999 S
tate of Florida
DE
SC
RIP
TIO
N O
F S
UB
MIS
SIO
N
1. ID
EN
TIF
Y A
ND
DE
SC
RIB
E T
HE
CO
MP
ON
EN
TS
OF
TH
E M
AJO
R T
OO
L. T
he Major T
ool is comprised of the
items necessary to m
eet the standards and requirements of the course or subject for w
hich it is designedand subm
itted. As part of this section, include a description of the educational approach of the subm
ission.(A
dd pages as needed.) E
DU
CA
TIO
NA
L A
PP
RO
AC
H: (T
he in
form
ation
pro
vided
here w
ill be u
sed in
ou
r catalog
in th
ecase o
f ado
ptio
n o
f pro
gram
.) C
alculus I with P
recalculus serves as a comprehensive teaching and learning resource to introduce
calculus to a wider variety of high school students. T
his innovative text begins with three chapters
of pre-calculus, then moves right into first-sem
ester calculus. The text is ideal for courses that w
ishto reinforce algebraic skills w
ithin pre-calculus and then successfully transition students intocalculus itself. It features an in-depth, system
atic study of each basic class of functions – algebraic,exponential and logarithm
ic, and trigonometric – first through pre-calculus, then through calculus.
MA
JOR
TO
OL
- ST
UD
EN
T C
OM
PO
NE
NT
S:
Calcu
lus 1 w
ith P
reCalcu
lus, P
up
il’s Ed
ition
with
Learn
ing
To
ols C
D-R
OM
The text contains nearly 10,000 exercises. E
ach exercise set is carefully graded, progressing formskill-developm
ent problems to m
ore rigorous problems involving applications and proofs.
Technology is integrated through the text; but not required. S
tudents will have over 1,000 titled
examples that m
ake the material accessible to all types of learners. R
eal-world applications
motivate students to understand im
portant concepts. Exploratory project help students discover
concepts on their own.
The Learning T
ools CD
-RO
M contains study tools and text-specific resource m
aterial, includingadditional practice that w
ill support students as they work through C
alculus I with P
recalculus. M
AJO
R T
OO
L - T
EA
CH
ER
CO
MP
ON
EN
TS
:
Co
mp
lete So
lutio
ns G
uid
e with
Instru
ctor’s N
otes
Contains detailed teaching notes, chapter outlines, and discussion topics. P
rovides complete
solutions for exercises in the pupil’s edition. 2.
Briefly describe the A
NC
ILL
AR
Y m
aterials submitted for purchase and their relationship w
ith the m
ajor tool. (Add additional pages as necessary)
ST
UD
EN
T C
OM
PO
NE
NT
S:
Stu
dy an
d S
olu
tion
s Gu
ide
Provides com
plete solutions for odd-numbered exercises in the pupil’s edition.
TE
AC
HE
R C
OM
PO
NE
NT
S:
Test Item
File
This is the printed version of the item
s available on the test generator.
Test G
enerato
r CD
-RO
MT
his electronic test generator helps teachers prepare a variety of tests and quizzes.
Page 3
©1999 S
tate of Florida
3. H
OW
MU
CH
INS
TR
UC
TIO
NA
L T
IME
IS N
EE
DE
D? Identify and explain the suggested instructional tim
e forthis subm
ission. If a series, state the suggested time for each level. T
he goal is to determine w
hether theam
ount of content is suitable to the length of the course for which it is subm
itted.
Calculus I w
ith Precalculus is intended for one year (tw
o semesters) of academ
ic study or anequivalent block of tim
e.
4. W
HA
T T
RA
ININ
G/IN
SE
RV
ICE
IS A
VA
ILA
BL
E?
Describe the training/inservice available from
the publisher,the type of inservice available, how
it may be obtained, and if there is a charge for the service. (If th
isp
rog
ram is ad
op
ted, th
is info
rmatio
n w
ill be u
sed in
the co
mp
ilation
of o
ur catalo
g.)
McD
ougal Littell will provide inservice/staff developm
ent to each Florida school district in w
hichC
alculus with P
reCalculus is adopted. C
onsultant services and staff development m
ay be arrangedon a m
utually convenient basis at no cost to the local school district. This service is provided for
the life of the contract and may be arranged by contacting the M
cDougal Littell sales
representative for the local district.
The com
pany maintains a toll-free telephone num
ber (1-800-323-5435) to answer questions and
provide service to teachers. This service is available from
8 a.m. to 5 p.m
. CS
T, M
onday throughF
riday. For technical support for M
cDougal Littell softw
are, teachers can call 1-800-727-3009 from9 a.m
. to 5 p.m. E
ST
, Monday through F
riday. Frequently asked questions about technology are
answered on the com
pany’s Internet site, ww
w.m
cdougallittell.com, under the T
ech Support tab.
5. W
HA
T H
AR
DW
AR
E/E
QU
IPM
EN
T IS
RE
QU
IRE
D?
Briefly list and describe the hardw
are/equipment needed to
implem
ent the submission in the classroom
. R
EM
EM
BE
R: F
LO
RID
A LA
W D
OE
S N
OT
AL
LO
W H
AR
DW
AR
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QU
IPM
EN
T T
O B
E IN
CL
UD
ED
ON
TH
E B
ID!
Learn
ing
To
ols C
D-R
OM
For W
indows: W
indows®
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, 2000, or ME
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inimum
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icrosoft Internet Explorer®
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acintosh: System
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etscapeN
avigator® 4.7 or higher.
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enerato
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-RO
MF
or Window
s: Pentium
processor or equivalent; Window
s® 95, 98, or N
T; 32 M
B R
AM
installed; 60M
B available hard drive space; S
GV
A m
onitor with m
inimum
resolution settings 800 x 600; requiresC
D-R
OM
drive and printer; online testing requires Microsoft Internet E
xplorer® 4.0 or higher.
For M
acintosh: Pow
erPC
processor; System
8.0 or higher; 32 MB
RA
M free; 60 M
B available hard
drive space; monitor w
ith minim
um resolution settings 800 x 600.
6. W
HA
T L
ICE
NS
ING
PO
LIC
IES
AN
D/O
R A
GR
EE
ME
NT
S A
PP
LY
? If softw
are is being submitted, please attach
a copy of the company’s licensing policies and/or agreem
ents. A
PP
LIC
AB
LE
. See attachm
ent. PL
EA
SE
CH
EC
K:
[ ] Site (sch
oo
l) [ ] District [ ] N
etwo
rk
NO
T AP
PLIC
AB
LE X
Page 4
©1999 S
tate of Florida
7. W
HA
T S
TA
TE
S H
AV
E A
DO
PT
ED
TH
E S
UB
MIS
SIO
N?
List some of the states in w
hich this submission
is currently adopted.
This text is adopted in A
labama, K
entucky, South C
arolina, and Utah. It is bid for 2003-2004
adoptions in A
labama, F
lorida, North C
arolina, and Oklahom
a.
8. L
IST
TH
E F
LO
RID
A D
IST
RIC
TS
IN W
HIC
H T
HIS
PR
OG
RA
M H
AS
BE
EN
PIL
OT
ED
IN T
HE
LA
ST
EIG
HT
EE
N M
ON
TH
S.
This program
has not been piloted in the state of Florida.
NO
T A
PP
LIC
AB
LE
PR
EP
AR
AT
ION
OF
QU
ES
TIO
NN
AIR
EN
ame and T
itle of Person P
reparing Questionnaire
Muffet H
ughesM
athematics
Specialist
Mailing A
ddress:
McD
ou
ga
l L
ittell
Box 1667
Evanston, IL 60204
Telephone:
(800) 323-5435, x3985
_________________________________________________________________Signature
D
ate
X
CORRELATIONSUNSHINE STATE STANDARDS
*Indepth/Mentioned page 1Section number and title narrative is included to locate supporting material in ancillaries.Selected exercises are referenced in parentheses, otherwise entire page is applicable.
SUBJECT: Mathematics 9-12: Calculus
SUBMISSION TITLE: Calculus I with Precalculus
PUBLISHER: McDougal Littell
GRADE: 9-12
STRAND A: Number Sense, Concepts, and Operations
STANDARD 1: The student understands the different ways numbers are represented and used in the real world.
BENCHMARKPAGE(S) OR LOCATION(S)
WHERE TAUGHT I/M*MA.A.1.4.1associates verbal names, written word names, and standardnumerals with integers, rational numbers, irrationalnumbers, real numbers, and complex numbers.
This standard is a prerequisite to Calculus, and is applied throughout the text. See,for example:
Pupil’s Edition:P.1 Note, 2; 2.4 Complex Numbers, 167, 172 (#5-16); 12.5 Trigonometric Formof Complex Numbers, 760-761, 766 (#7-10)
AncillariesStudy and Solutions Guide:98, 467
Test Item File:162-163, 515-516
Learning Tools CD-ROM:eSolutions, iC Open Explorations, and additional Student Resources for Section2.4, 12.5; see also related resources for review
M
CORRELATIONSUNSHINE STATE STANDARDS
SUBJECT: Mathematics 9-12: Calculus
SUBMISSION TITLE: Calculus I with Precalculus
*Indepth/Mentioned page 2Section number and title narrative is included to locate supporting material in ancillaries.Selected exercises are referenced in parentheses, otherwise entire page is applicable.
BENCHMARKPAGE(S) OR LOCATION(S)
WHERE TAUGHT I/M*MA.A.1.4.2understands the relative size of integers, rational numbers,irrational numbers, and real numbers.
This standard is a prerequisite to Calculus, and is applied throughout the text. See,for example:
Pupil’s Edition:P.1 Note, 2
Ancillaries Learning Tools CD-ROM:(related Student Resources for review)
I
MA.A.1.4.3understands concrete and symbolic representations of realand complex numbers in real-world situations.
This standard is a prerequisite to Calculus, and is applied throughout the text. See,for example:
Pupil’s Edition:2.4 Complex Numbers, 167-173; 2.R selected Review Exercises, 199-200 (#61-78); 12.5 Trigonometric Form of a Complex Number, 759-768; 12.R selectedReview Exercises, 771 (#85-106); 12.PS selected Problem Solving, 773 (#10-13, 15)
AncillariesStudy and Solutions Guide:98-101, 121-122, 466-475, 479-481, 484
Test Item File:162-168, 512-525
Learning Tools CD-ROM:eSolutions, iC Open Explorations, and additional Student Resources for Section2.4, 12.5 and review
I
CORRELATIONSUNSHINE STATE STANDARDS
SUBJECT: Mathematics 9-12: Calculus
SUBMISSION TITLE: Calculus I with Precalculus
*Indepth/Mentioned page 3Section number and title narrative is included to locate supporting material in ancillaries.Selected exercises are referenced in parentheses, otherwise entire page is applicable.
GRADE: 9-12
STRAND A: Number Sense, Concepts, and Operations
STANDARD 2: The student understands number systems.
BENCHMARKPAGE(S) OR LOCATION(S)
WHERE TAUGHT I/M*MA.A.2.4.1understands and uses the basic concepts of limits andinfinity.
See the following pages for selected examples basic to Calculus:
Pupil’s Edition:3.A Swimming Speed: Taking It to the Limit, 204; 3.1 A Preview of Calculus,206-211; 3.2 Finding Limits Graphically and Numerically, 212-219;3.3 Evaluating Limits Analytically, 220-228; 3.4 Continuity and One-SidedLimits, 229-240; 3.5 Infinite Limits, 240-247; 3.R Review Exercises, 248-249;3.PS Problem Solving, 250-251; 5.5 Limits at Infinity, 345-354; 5.R selectedReview Exercises, 382 (#31-42); 5.PS selected Problem Solving, 384 (#1, 9);6.2 Upper and Lower Sums, 402-406, 407 (#31-35, 41-47), 408 (#48-60, 73),409 (#80); 6.3 Riemann Sums, 410-412, 417 (#1-2); 6.R selected ReviewExercises, 451-452 (#19-26); 11.1 Limits of Trigonometric Functions, 670-676;11.R selected Review Exercises, 717 (#1-16)
AncillariesStudy and Solutions Guide:129-148, 210-216, 235-236, 240, 241, 250-253, 255, 273-274, 418-421, 443
Test Item File:195-218, 268-271, 293-294, 296, 300, 466-468
Learning Tools CD-ROM:eSolutions, iC Open Explorations, and additional Student Resources for Sections3.1-3.5, 5.5, 6.2, 6.3, 11.1; see also Calculus Lab 2
I
CORRELATIONSUNSHINE STATE STANDARDS
SUBJECT: Mathematics 9-12: Calculus
SUBMISSION TITLE: Calculus I with Precalculus
*Indepth/Mentioned page 4Section number and title narrative is included to locate supporting material in ancillaries.Selected exercises are referenced in parentheses, otherwise entire page is applicable.
BENCHMARKPAGE(S) OR LOCATION(S)
WHERE TAUGHT I/M*MA.A.2.4.2understands and uses the real number system.
This standard is a prerequisite to Calculus, and is applied throughout the text. See,for example:
Pupil’s Edition:P.1 Note, 2
Ancillaries Learning Tools CD-ROM:(related Student Resources for review)
I
MA.A.2.4.3understands the structure of the complex number system.
Pupil’s Edition:2.4 Complex Numbers, 167-173; 2.R selected Review Exercises, 199-200 (#61-78); 2.R selected Review Exercises, 199-200 (#61-78); 12.5 Trigonometric Formof a Complex Number, 759-768; 12.R selected Review Exercises, 771 (#85-106); 12.PS selected Problem Solving, 773 (#10-13, 15)
AncillariesStudy and Solutions Guide:98-101, 121-122, 466-475, 479-481, 484
Test Item File:162-168, 512-525
Learning Tools CD-ROM:eSolutions, iC Open Explorations, and additional Student Resources for Section2.4, 12.5
I
CORRELATIONSUNSHINE STATE STANDARDS
SUBJECT: Mathematics 9-12: Calculus
SUBMISSION TITLE: Calculus I with Precalculus
*Indepth/Mentioned page 5Section number and title narrative is included to locate supporting material in ancillaries.Selected exercises are referenced in parentheses, otherwise entire page is applicable.
GRADE: 9-12
STRAND A: Number Sense, Concepts, and Operations
STANDARD 3: The student understands the effects of operations on numbers and the relationships among these operations, selectsappropriate operations, and computes for problem solving
BENCHMARKPAGE(S) OR LOCATION(S)
WHERE TAUGHT I/M*MA.A.3.4.1understands and explains the effects of addition,subtraction, multiplication, and division on real numbers,including square roots, exponents, and appropriate inverserelationships.
Taught in earlier courses and applied throughout the text.
Ancillaries Learning Tools CD-ROM:(related Student Resources for review)
I
MA.A.3.4.3adds, subtracts, multiplies, and divides real numbers,including square roots and exponents, using appropriatemethods of computing, such as mental mathematics, paperand pencil, and calculator.
Pupil’s Edition:Taught in earlier courses and applied throughout the text.
Ancillaries Learning Tools CD-ROM:(related Student Resources for review)
I
CORRELATIONSUNSHINE STATE STANDARDS
SUBJECT: Mathematics 9-12: Calculus
SUBMISSION TITLE: Calculus I with Precalculus
*Indepth/Mentioned page 6Section number and title narrative is included to locate supporting material in ancillaries.Selected exercises are referenced in parentheses, otherwise entire page is applicable.
GRADE: 9-12
STRAND A: Number Sense, Concepts, and Operations
STANDARD 4: The student uses estimation in problem solving and computation.
BENCHMARKPAGE(S) OR LOCATION(S)
WHERE TAUGHT I/M*MA.A.4.4.1uses estimation strategies in complex situations to predictresults and to check the reasonableness of results.
See the following pages for representative examples:
Pupil’s Edition:Chapter Opener Applications, xviii, 66, 134, 204, 252, 312, 386, 456, 510, 546,624, 668, 722, 774, 858; see also Explorations, Section Projects, and problemsolving applications in Section Exercises, Chapter Review Exercises, andChapter Problem Solving throughout
Ancillaries Student's Solutions Guide:Found throughout the text.
Test Item File:Found throughout the text.
Learning Tools CD-ROM:eSolutions, iC Open Explorations, and additional Student Resources throughout;see also Calculus Labs 1-13
I
CORRELATIONSUNSHINE STATE STANDARDS
SUBJECT: Mathematics 9-12: Calculus
SUBMISSION TITLE: Calculus I with Precalculus
*Indepth/Mentioned page 7Section number and title narrative is included to locate supporting material in ancillaries.Selected exercises are referenced in parentheses, otherwise entire page is applicable.
GRADE: 9-12
STRAND A: Number Sense, Concepts, and Operations
STANDARD 5: The student understands and applies theories related to numbers.
BENCHMARKPAGE(S) OR LOCATION(S)
WHERE TAUGHT I/M*MA.A.5.4.1applies special number relationships such as sequences andseries to real-world problems.
See the following pages for representative examples:
Pupil’s Edition:1.6 Mathematical Modeling, 117-128; 1.R selected Review Exercises, 131 (#68-75); 1.PS selected Problem Solving, 133 (#17); 2.A Complex Numbers andFractals, 134; 2.4 Complex Numbers, 169 (Exploration), 173 (Section Project);6.2 Area, 398-409
Ancillaries Study and Solutions Guide:67-71, 75, 77
Test Item File:127-137, 164
Learning Tools CD-ROM:eSolutions, iC Open Explorations, and additional Student Resources for Sections1.6, 2.4
M
CORRELATIONSUNSHINE STATE STANDARDS
SUBJECT: Mathematics 9-12: Calculus
SUBMISSION TITLE: Calculus I with Precalculus
*Indepth/Mentioned page 8Section number and title narrative is included to locate supporting material in ancillaries.Selected exercises are referenced in parentheses, otherwise entire page is applicable.
GRADE: 9-12
STRAND B: Measurement
STANDARD 1: The student measures quantities in the real world and uses the measures to solve problems.
BENCHMARKPAGE(S) OR LOCATION(S)
WHERE TAUGHT I/M*MA.B.1.4.1uses concrete and graphic models to derive formulas forfinding perimeter, area, surface area, circumference, andvolume of two- and three-dimensional shapes, includingrectangular solids, cylinders, cones, and pyramids.
See the following pages for representative examples:
Pupil’s Edition:P.1 Solving Equations, 13 (#192-195); P.2 Solving Inequalities, 26 (#151-152);P.4 Graphs of Equations, 45 (#73-74); P.R selected Review Exercises,61-63 (#50, 96); 1.1 Dimensions, 73, 76-77 (#88-92, 95); 1.2 Analyzing Graphsof Functions, 90-91 (#124, 126); 1.4 Combinations of Functions,107 (#63-64); 1.6 Formulas and Variation, 120, 124 (#21-22, 27-30), 125 (#49,55); 1.R selected Review Exercises, 129 (#13); 1.PS selected Problem Solving,132 (#1-2); 5.7 Optimization Problems, 363-364, 365, 367, 368-371 (#7-10, 17-43); 5.R selected Review Exercises, 383 (#62-66, 71-72);5.PS selected Problem Solving, 385 (#13-15); 6.A The Wankel Rotary Engineand Area, 386; 6.2 Area, 398-409; 6.3 Areas of Common Geometric Figures,414, 417-418 (#13-32); 6.R selected Review Exercises, 451-452 (#17-24, 27-28);6.PS selected Problem Solving, 455 (#12, 14); 9.7 Inverse TrigonometricFunctions, 609 (#104); 9.PS selected Problem Solving, 622-623 (#10, 14);12.1 Area of an Oblique Triangle, 728, 731 (#50, 54); 12.2 Heron’s AreaFormula, 733, 736 (#17-22), 738 (#45-48); 12.R selected Review Exercises,770 (#30-33); 12.PS selected Problem Solving, 772-773 (#6, 7, 17)
(continued on next page)
I
CORRELATIONSUNSHINE STATE STANDARDS
SUBJECT: Mathematics 9-12: Calculus
SUBMISSION TITLE: Calculus I with Precalculus
*Indepth/Mentioned page 9Section number and title narrative is included to locate supporting material in ancillaries.Selected exercises are referenced in parentheses, otherwise entire page is applicable.
BENCHMARKPAGE(S) OR LOCATION(S)
WHERE TAUGHT I/M*Ancillaries Study and Solutions Guide:10, 21, 28, 47, 62, 68-69, 72, 75, 225, 226-230, 239-240, 242, 249-255, 256-257,273-274, 456, 458, 477, 483, 484
Test Item File:17, 78-79, 80, 128, 131, 133, 280-282, 293-296, 494-495, 499-500
Learning Tools CD-ROM:eSolutions, iC Open Explorations, and additional Student Resources for SectionsP.1, P.2, P.4, 1.1, 1.2, 1.4, 1.6, 6.3, 9.7, 12.1, 12.2; see also Calculus Labs 5, 11
CORRELATIONSUNSHINE STATE STANDARDS
SUBJECT: Mathematics 9-12: Calculus
SUBMISSION TITLE: Calculus I with Precalculus
*Indepth/Mentioned page 10Section number and title narrative is included to locate supporting material in ancillaries.Selected exercises are referenced in parentheses, otherwise entire page is applicable.
BENCHMARKPAGE(S) OR LOCATION(S)
WHERE TAUGHT I/M*MA.B.1.4.2uses concrete and graphic models to derive formulas forfinding rate, distance, time, angle measures, and arclengths.
Pupil’s Edition:P.1 Solving Equations, 14 (#196-200); P.2 Solving Inequalities, 25-26 (#145-150, 153-156); P.3 Distance and Midpoint Formulas, 29-32, 35 (#49-68), 36(#75-78); P.5 Ratios and Rates of Change, 49, 56-59 (#37-44, 91-108);P.R selected Review Exercises, 61-63 (#59-60, 75-76, 117-118);P.PS selected Problem Solving, 64-65 (#4, 11, 14); 1.1 Applications ofFunctions, 73, 77 (#93-94), 78 (#97-102); 1.2 Analyzing Graphs of Functions,90 (#126); 1.4 Combinations of Functions, 105-107 (#35, 64, 65); 1.5 InverseFunctions, 115 (#79); 1.6 Mathematical Modeling, 117-128; 1.R selectedReview Exercises, 129-131 (#11, 69, 70); 1.PS selected Problem Solving, 133(#16); 4.2 Rates of Change, 270-271 (#81-96); 4.6 Related Rates, 300-306;4.R selected Review Exercises, 307-309 (#27-34, 85-89); 4.PS selected ProblemSolving, 311 (#9-10, 13-14); 5.7 Optimization Problems, 365, 366, 368 (#16),371 (#45), 372 (#47-55); 5.R selected Review Exercises, 383 (#61, 67-68);5.PS selected Problem Solving, 385 (#16); 8.4 Growth and Decay, 537-539,540-541 (#21-24, 33-48); 9.1 Radian and Degree Measure, 548-556;9.2 Trigonometric Functions: The Unit Circle, 557-563; 9.3 Right TriangleTrigonometry, 567-568, 570-571 (#65-74); 9.4 Trigonometric Functions of AnyAngle, 579 (#94-99); 9.5 Graphs of Sine and Cosine Functions, 589-590 (#83-91); 9.6 Graphs of Other Trigonometric Functions, 598-600 (#75-89); 9.7 InverseTrigonometric Functions, 608-609 (#99-103); 9.8 Applications and Models, 610-618; 9.R selected Review Exercises, 619-621 (#21-22, 53-54, 95-96, 133-136);9.PS selected Problem Solving, 622-623 (#7, 13, 15); 12.1 Application of theLaw of Sines, 729, 730-731 (#39-49); 12.2 Application of the Law of Cosines,734-735, 736-738 (#25-44); 12.3 Applications of Vectors, 745-746, 748-750 (#67-85, Section Project); 12.R selected Review Exercises, 769 (#17-19, 28-29), 770(#60-62); 12.PS selected Problem Solving, 773 (#16); and other applications ofdifferential and integral calculus throughout
(continued on next page)
I
CORRELATIONSUNSHINE STATE STANDARDS
SUBJECT: Mathematics 9-12: Calculus
SUBMISSION TITLE: Calculus I with Precalculus
*Indepth/Mentioned page 11Section number and title narrative is included to locate supporting material in ancillaries.Selected exercises are referenced in parentheses, otherwise entire page is applicable.
BENCHMARKPAGE(S) OR LOCATION(S)
WHERE TAUGHT I/M*Ancillaries Study and Solutions Guide:10, 20-21, 23-24, 30-31, 34-35, 38, 39, 41, 42, 47, 48, 60, 62, 66, 67-71, 72, 75,160-161, 175-179, 181, 184, 187, 230-231, 239, 333-339, 342-343, 348, 352-353,357-358, 362-366, 367, 369, 371, 372, 373, 453-454, 456-458, 462-463, 476-477,479
Test Item File:15-16, 18, 31, 37-38, 41-42, 62-66, 79-80, 94-96, 114, 126, 127-137, 228-230,245-249, 283, 368-370, 371-425, 495-496, 500-501, 505
Learning Tools CD-ROM:eSolutions, iC Open Explorations, and additional Student Resources for SectionsP.1-P.3, P.5, 1.1, 1.2, 1.4- 1.6, 4.2, 4.6, 5.7, 8.4, 9.1-9.8, 12.1-12.3
CORRELATIONSUNSHINE STATE STANDARDS
SUBJECT: Mathematics 9-12: Calculus
SUBMISSION TITLE: Calculus I with Precalculus
*Indepth/Mentioned page 12Section number and title narrative is included to locate supporting material in ancillaries.Selected exercises are referenced in parentheses, otherwise entire page is applicable.
BENCHMARKPAGE(S) OR LOCATION(S)
WHERE TAUGHT I/M*MA.B.1.4.3relates the concepts of measurement to similarity andproportionality in real-world situations
Pupil’s Edition:P.5 Ratios and Rates of Change, 49, 56-59 (#37-44, 91-108); 1.3 Functions andTheir Graphs, 100 (#59-60); 1.6 Mathematical Modeling, 117-128; 1.R selectedReview Exercises, 129-131 (#12, 69-72); 8.4 Growth and Decay, 537-539,540-541 (#21-24, 33-48); 8.R selected Review Exercises, 543 (#61-64);9.3 Right Triangle Trigonometry, 564-571; 9.4 Trigonometric Functions of AnyAngle, 579 (#99); 9.8 Applications and Models, 610-618; 9.R selected ReviewExercises, 620 (#53-54), 621 (#133-136); 9.PS selected Problem Solving, 622-623 (#7-10); 12.1 Application of the Law of Sines, 729, 730-731 (#39-49);12.2 Application of the Law of Cosines, 734-735, 736-738 (#25-44);12.3 Applications of Vectors, 745-746, 748-750 (#67-85, Section Project);12.R 769 (#17-19, 28-29), 770 (#60-62)
Ancillaries Study and Solutions Guide:30-31, 34-35, 58, 67-71, 75, 325-326, 329, 339-343, 348, 362-366, 369, 372, 373,453-454, 456-457, 460-461, 476, 477, 479
Test Item File:62-63, 127-137, 368-370, 381-387, 421-425, 495-496, 500-501, 505
Learning Tools CD-ROM:eSolutions, iC Open Explorations, and additional Student Resources for SectionsP.5, 1.3, 1.6, 8.4, 9.3, 9.8, 12.1-12.3; see also Calculus Labs 10, 13
I
CORRELATIONSUNSHINE STATE STANDARDS
SUBJECT: Mathematics 9-12: Calculus
SUBMISSION TITLE: Calculus I with Precalculus
*Indepth/Mentioned page 13Section number and title narrative is included to locate supporting material in ancillaries.Selected exercises are referenced in parentheses, otherwise entire page is applicable.
GRADE: 9-12
STRAND B: Measurement
STANDARD 2: The student compares, contrasts, and converts within systems of measurement (both standard/nonstandard andmetric/ customary).
BENCHMARKPAGE(S) OR LOCATION(S)
WHERE TAUGHT I/M*MA.B.2.4.1selects and uses direct (measured) or indirect (notmeasured) methods of measurement as appropriate.
See, for example:
Pupil’s Edition:Chapter Opener Applications, xviii, 66, 134, 204, 252, 312, 386, 456, 510, 546,624, 668, 722, 774, 858
Ancillaries Learning Tools CD-ROM:eSolutions, iC Open Explorations, and additional Student Resources throughout,including Calculus Labs 1-13
I
CORRELATIONSUNSHINE STATE STANDARDS
SUBJECT: Mathematics 9-12: Calculus
SUBMISSION TITLE: Calculus I with Precalculus
*Indepth/Mentioned page 14Section number and title narrative is included to locate supporting material in ancillaries.Selected exercises are referenced in parentheses, otherwise entire page is applicable.
BENCHMARKPAGE(S) OR LOCATION(S)
WHERE TAUGHT I/M*MA.B.2.4.2solves real-world problems involving rated measures(miles per hour, feet per second).
See, for example:
Pupil’s Edition:P.5 Rates of Change, 49, 53, 55, 56-59 (#37-44, 91-108); P.R selected ReviewExercises, 61-63 (#59-60, 75-76, 117-118); P.PS selected Problem Solving, 64-65 (#4, 11, 14); 1.A Predator-Prey Cycles, 66; 1.1 Applications of Functions,73, 77 (#93-94), 78 (#97-102); 1.2 Analyzing Graphs of Functions,90 (#126); 1.4 Combinations of Functions, 105-107 (#35, 64, 65);1.5 Inverse Functions, 115 (#79); 1.6 Mathematical Modeling, 117-128;1.R selected Review Exercises, 129-131 (#11, 69, 70); 1.PS selected ProblemSolving, 133 (#16); 4.A Gravity: Finding It Experimentally, 252; 4.2 Rates ofChange, 279-271, 274-275 (#81-96); 4.6 Related Rates, 300-306; 4.R selectedReview Exercises, 307-308 (#27-34), 309 (#85-89); 4.PS selected ProblemSolving, 311 (#9-13); 6.1 Initial Conditions and Particular Solutions, 392-393,395-397 (#57-75); 6.R selected Review Exercises, 451 (#11-14); 6.PS selectedProblem Solving, 454 (#4); 8.4 Growth and Decay, 537-539, 540-541 (#21-24,33-48); and other applications of differential and integral calculus throughout
Ancillaries Student's Solutions Guide:30-31, 34-35, 38, 39, 41, 42, 47-48, 60, 62, 66, 67-71, 72, 75, 160-161, 175-179,181, 184, 187, 248-249, 272-273, 325-326
Test Item File:62-66, 79, 94-96, 114, 126, 127-137, 228-230, 245-249, 291-292, 368-370
Learning Tools CD-ROM:eSolutions, iC Open Explorations, and additional Student Resources for SectionsP.5, 1.1, 1.2, 1.4-1.6, 4.2, 4.6, 6.1, 8.4; see also Calculus Labs 2, 3, 12
I
CORRELATIONSUNSHINE STATE STANDARDS
SUBJECT: Mathematics 9-12: Calculus
SUBMISSION TITLE: Calculus I with Precalculus
*Indepth/Mentioned page 15Section number and title narrative is included to locate supporting material in ancillaries.Selected exercises are referenced in parentheses, otherwise entire page is applicable.
GRADE: 9-12
STRAND B: Measurement
STANDARD 3: The student estimates measurements in real-world problem situations.
BENCHMARKPAGE(S) OR LOCATION(S)
WHERE TAUGHT I/M*MA.B.3.4.1solves real-world and mathematical problems involvingestimates of measurements, including length, time,weight/mass, temperature, money, perimeter, area, andvolume, and estimates the effects of measurement errorson calculations.
See, for example:
Pupil’s Edition:Chapter Opener Applications, xviii, 66, 134, 204, 252, 312, 386, 456, 510, 546,624, 668, 722, 774, 858; see also Explorations, Section Projects, and problemsolving applications in Section Exercises, Chapter Review Exercises, andChapter Problem Solving throughout the text
Ancillaries Learning Tools CD-ROM:eSolutions, iC Open Explorations, and additional Student Resources throughout,including Calculus Labs 1-13
I
CORRELATIONSUNSHINE STATE STANDARDS
SUBJECT: Mathematics 9-12: Calculus
SUBMISSION TITLE: Calculus I with Precalculus
*Indepth/Mentioned page 16Section number and title narrative is included to locate supporting material in ancillaries.Selected exercises are referenced in parentheses, otherwise entire page is applicable.
GRADE: 9-12
STRAND B: Measurement
STANDARD 4: The student selects and uses appropriate units and instruments for measurement to achieve the degree of precisionand accuracy required in real-world situations.
BENCHMARKPAGE(S) OR LOCATION(S)
WHERE TAUGHT I/M*MA.B.4.4.1determines the level of accuracy and precision, includingabsolute and relative errors or tolerance, required in real-world measurement situations.
See, for example:
Pupil’s Edition:5.8 Differentials and Error Propagation, 376, 379-380 (#27-33, 37-38);5.R selected Review Exercises, 383 (#71-72); 6.6 Error Analysis, 448, 449 (#27-30)
Ancillaries Study and Solutions Guide:232, 233, 240, 270-271
Test Item File:284-285, 286, 312
Learning Tools CD-ROM:eSolutions, iC Open Explorations, and additional Student Resources for Sections5.8, 6.6
I
CORRELATIONSUNSHINE STATE STANDARDS
SUBJECT: Mathematics 9-12: Calculus
SUBMISSION TITLE: Calculus I with Precalculus
*Indepth/Mentioned page 17Section number and title narrative is included to locate supporting material in ancillaries.Selected exercises are referenced in parentheses, otherwise entire page is applicable.
BENCHMARKPAGE(S) OR LOCATION(S)
WHERE TAUGHT I/M*MA.B.4.4.2selects and uses appropriate instruments, technology, andtechniques to measure quantities in order to achievespecified degrees of accuracy in a problem situation.
See, for example:
Pupil’s Edition:3.2 Finding Limits Graphically and Numerically, 212-219; 5.8 Differentials, 374-380; 5.R selected Review Exercises, 383 (#71-72); 6.4 The FundamentalTheorem of Calculus, 430 (#53-57); 6.6 Numerical Integration, 444-450;14.7 Kepler’s Laws, 904, 906 (#53-54); see also Chapter Opener Applicationsand techniques of approximation (including graphing calculator) throughout thetext
Ancillaries Study and Solutions Guide:129-133, 231-233, 240, 260, 268-272, 579
Test Item File:22-23, 33-34, 196-200, 284-286, 309-312
Learning Tools CD-ROM:eSolutions, iC Open Explorations, and additional Student Resources for Sections3.2, 5.8, 6.4, 6.6, 14.7
I
CORRELATIONSUNSHINE STATE STANDARDS
SUBJECT: Mathematics 9-12: Calculus
SUBMISSION TITLE: Calculus I with Precalculus
*Indepth/Mentioned page 18Section number and title narrative is included to locate supporting material in ancillaries.Selected exercises are referenced in parentheses, otherwise entire page is applicable.
GRADE: 9-12
STRAND C: Geometry and Spatial Sense
STANDARD 1: The student describes, draws, identifies, and analyzes two- and three-dimensional shapes.
BENCHMARKPAGE(S) OR LOCATION(S)
WHERE TAUGHT I/M*MA.C.1.4.1uses properties and relationships of geometric shapes toconstruct formal and informal proofs.
See, for example:
Pupil’s Edition:P.3 Graphical Representations of Data, 36 (#79-84); P.4 Graphs of Equations,46 (#79-86); P.5 Linear Equations in Two Variables, 60 (#115-118);14.1 Introduction to Conics, 866 (#86-87); 14.3 Hyperbolas, 882 (#41, 63-64);see also Appendix A Proofs of Selected Theorems, A1-A15; and student proofsin Section Exercises throughout
Ancillaries Study and Solutions Guide:24, 29, 35, 550, 560, 562
Learning Tools CD-ROM:eSolutions, iC Open Explorations, and additional Student Resources for SectionsP.3-P.5, 14.1, 14.2
I
CORRELATIONSUNSHINE STATE STANDARDS
SUBJECT: Mathematics 9-12: Calculus
SUBMISSION TITLE: Calculus I with Precalculus
*Indepth/Mentioned page 19Section number and title narrative is included to locate supporting material in ancillaries.Selected exercises are referenced in parentheses, otherwise entire page is applicable.
GRADE: 9-12
STRAND C: Geometry and Spatial Sense
STANDARD 2: The student visualizes and illustrates ways in which shapes can be combined, subdivided, and changed.
BENCHMARKPAGE(S) OR LOCATION(S)
WHERE TAUGHT I/M*MA.C.2.4.1understands geometric concepts such as perpendicularity,parallelism, tangency, congruency, similarity, reflections,symmetry, and transformations including flips, slides,turns, enlargements, rotations, and fractals.
Pupil’s Edition:P.4 Symmetry, 40-41, 46 (#81-84); P.5 Parallel and Perpendicular Lines, 54,56 (#27-30), 58 (#79-86), 60 (#116, 118); P.R selected Review Exercises,62 (#85-88), 63 (#115-116); P.PS selected Problem Solving, 64-65 (#5, 8, 10);1.3 Shifting, Reflecting, and Stretching Graphs, 92-100; 1.5 Inverse Functions,108-116; 1.R selected Review Exercises, 130 (#37-46, 53-64);2.A Complex Numbers and Fractals, 134; 2.4 The Mandlebrot Set, 173 (SectionProject); 3.1 The Tangent Line Problem, 209; 4.1 The Derivative and theTangent Line Problem, 254-264; 11.PS selected Problem Solving, 721 (#13);12.3 The Parallelogram Law, 741-742, 748 (#59-62); 14.6 Graphs of PolarEquations, 896-901
Ancillaries Study and Solutions Guide:29, 30, 33-34, 39, 41, 42, 54-58, 62-67, 73-74, 150-156, 450, 461, 571-576
Test Item File:46, 60-61, 96-107, 115-126, 221-223, 505, 631-639
Learning Tools CD-ROM:eSolutions, iC Open Explorations, and additional Student Resources for SectionsP.4, P.5, 1.3, 1.5, 2.4, 3.1, 4.1, 12.3, 14.6
I
CORRELATIONSUNSHINE STATE STANDARDS
SUBJECT: Mathematics 9-12: Calculus
SUBMISSION TITLE: Calculus I with Precalculus
*Indepth/Mentioned page 20Section number and title narrative is included to locate supporting material in ancillaries.Selected exercises are referenced in parentheses, otherwise entire page is applicable.
BENCHMARKPAGE(S) OR LOCATION(S)
WHERE TAUGHT I/M*MA.C.2.4.2analyzes and applies geometric relationships involvingplanar cross-sections (the intersection of a plane and athree-dimensional figure).
Pupil’s Edition:5.7 Optimization Problems, 371 (#44); 11.6 St. Louis Arch, 717 (SectionProject); 14.1 Conics, 860, 865 (#69-74), 866 (#77); 14.7 Polar Equations ofConics, 902-906; 14.R selected Review Exercises, 907 (#1-2, 10), 909 (#89-90)
Ancillaries Study and Solutions Guide:549-550, 576-579, 586
Test Item File:631-639
Learning Tools CD-ROM:eSolutions, iC Open Explorations, and additional Student Resources for Sections5.7, 11.6, 14.1, 14.7; see also Calculus Lab 9
I
CORRELATIONSUNSHINE STATE STANDARDS
SUBJECT: Mathematics 9-12: Calculus
SUBMISSION TITLE: Calculus I with Precalculus
*Indepth/Mentioned page 21Section number and title narrative is included to locate supporting material in ancillaries.Selected exercises are referenced in parentheses, otherwise entire page is applicable.
GRADE: 9-12
STRAND C: Geometry and Spatial Sense
STANDARD 3: The student uses coordinate geometry to locate objects in both two- and three dimensions and to describe objectsalgebraically.
BENCHMARKPAGE(S) OR LOCATION(S)
WHERE TAUGHT I/M*MA.C.3.4.1represents and applies geometric properties andrelationships to solve real-world and mathematicalproblems including ratio, proportion, and properties ofright triangle trigonometry.
See, for example:
Pupil’s Edition:P.5 Ratios and Rates of Change, 49, 56-59 (#37-44, 91-108); 9.3 Right TriangleTrigonometry, 564-571; 9.4 Trigonometric Functions of Any Angle, 579 (#99);9.8 Applications and Models, 610-618; 9.R selected Review Exercises, 620(#53-54), 621 (#133-136); 9.PS selected Problem Solving, 622-623 (#7-10);12.1 Application of the Law of Sines, 729, 730-731 (#39-49); 12.2 Applicationof the Law of Cosines, 734-735, 736-738 (#25-44); 12.3 Applications of Vectors,745-746, 748-750 (#67-85, Section Project); 12.R 769 (#17-19, 28-29),770 (#60-62); and other applications of geometric properties and relationshipsthroughout the text
Ancillaries Study and Solutions Guide:30-31, 34-35, 339-343, 348, 362-366, 369, 372, 373, 453-454, 456-457, 460-461,476, 477, 479
Test Item File:62-63, 381-387, 421-425, 495-496, 500-501, 505
Learning Tools CD-ROM:eSolutions, iC Open Explorations, and additional Student Resources for SectionsP.5, 9.3, 9.4, 9.8, 12.1-12.3
I
CORRELATIONSUNSHINE STATE STANDARDS
SUBJECT: Mathematics 9-12: Calculus
SUBMISSION TITLE: Calculus I with Precalculus
*Indepth/Mentioned page 22Section number and title narrative is included to locate supporting material in ancillaries.Selected exercises are referenced in parentheses, otherwise entire page is applicable.
BENCHMARKPAGE(S) OR LOCATION(S)
WHERE TAUGHT I/M*MA.C.3.4.2using a rectangular coordinate system (graph), applies andalgebraically verifies properties of two- and three-dimensional figures, including distance, midpoint, slope,parallelism, and perpendicularity.
This standard is a prerequisite to Calculus, and is applied throughout the text. See,for example:
Pupil’s Edition:P.3 Graphical Representations of Data, 27-36; P.4 Graphs of Equations, 37-46;P.5 Linear Equations in Two Variables, 47-60; P.R selected Review Exercises,62-63 (#61-118); P.PS selected Problem Solving, 64-65 (#3-14); 1.3 Shifting,Reflecting, and Stretching Graphs, 92-100; 1.5 Inverse Functions, 108-116;1.R selected Review Exercises, 130 (#37-46, 53-64); and extensive applicationsof coordinate geometry throughout the text
Ancillaries Study and Solutions Guide:21-35, 38-42, 54-58, 62-67, 73-74
Test Item File:38-66, 96-107, 115-126
Learning Tools CD-ROM:eSolutions, iC Open Explorations, and additional Student Resources for SectionsP.3-P.5, 1.3, 1.5
I
CORRELATIONSUNSHINE STATE STANDARDS
SUBJECT: Mathematics 9-12: Calculus
SUBMISSION TITLE: Calculus I with Precalculus
*Indepth/Mentioned page 23Section number and title narrative is included to locate supporting material in ancillaries.Selected exercises are referenced in parentheses, otherwise entire page is applicable.
GRADE: 9-12
STRAND D: Algebraic Thinking
STANDARD 1: The student describes, analyzes, and generalizes a wide variety of patterns, relations, and functions.
BENCHMARKPAGE(S) OR LOCATION(S)
WHERE TAUGHT I/M*MA.D.1.4.1describes, analyzes, and generalizes relationships, patterns,and functions using words, symbols, variables, tables, andgraphs.
Pupil’s Edition:1.1 Functions, 68-78; 1.2 Analyzing Graphs of Functions, 79-91; 1.3 Shifting,Reflecting, and Stretching Graphs, 92-100; 1.4 Combinations of Functions, 101-107; 1.5 Inverse Functions, 108-116; 1.6 Mathematical Modeling, 117-128;1.R Review Exercises, 129-131; 1.PS Problem Solving, 132-133; 2.1 QuadraticFunctions, 136-146; 2.2 Polynomial Functions of Higher Degree, 147-156;2.3 The Remainder and Factor Theorems, 161-163, 164-165 (#39-85); 2.5 Zerosof Polynomial Functions, 174-184; 2.6 Rational Functions, 185-196;2.R selected Review Exercises, 198 (#3-38), 199 (#49-60), 200-201 (#79-128);2.PS selected Problem Solving, 202-203 (#1-11, 14-16); 7.1 ExponentialFunctions and Their Graphs, 459-466; 7.2 Logarithmic Functions and TheirGraphs, 467-476; 7.3 Using Properties of Logarithms, 480, 481 (#17-22),482 (#85-96); 7.4 Exponential and Logarithmic Equations, 490 (#65-72), 491-492 (#121-126); 7.5 Exponential and Logarithmic Models, 493-503; 7.R selectedReview Exercise, 504-505 (#7-60), 506 (#77-78), 507 (#119-134); 7.PS selectedProblem Solving, 508-509 (#1-12, 17-20); 9.2 Trigonometric Functions, 558-561,562-563 (#29-42), 563 (#53-69); 9.3 Right Triangle Trigonometry, 564-571;9.4 Trigonometric Functions of Any Angle, 572-579; 9.5 Graphs of Sine andCosine Functions, 580-590; 9.6 Graphs of Other Trigonometric Functions, 591-600; 9.7 Inverse Trigonometric Functions, 601-609; 9.8 Applications andModels, 610-618; 9.R selected Review Exercises, 619-621 (#23-133);9.PS Problem Solving, 622-623; 11.6 Hyperbolic and Inverse HyperbolicFunctions, 707-709, 711-713, 715 (#1-10)
(continued on next page)
I
CORRELATIONSUNSHINE STATE STANDARDS
SUBJECT: Mathematics 9-12: Calculus
SUBMISSION TITLE: Calculus I with Precalculus
*Indepth/Mentioned page 24Section number and title narrative is included to locate supporting material in ancillaries.Selected exercises are referenced in parentheses, otherwise entire page is applicable.
BENCHMARKPAGE(S) OR LOCATION(S)
WHERE TAUGHT I/M*AncillariesStudy and Solutions Guide:44-77, 79-92, 94-97, 101-119, 120-121, 122-127, 280-288, 289, 291, 293, 296-305, 307-309, 336, 337-373, 439
Test Item File:67-154, 161, 169-194, 313-328, 339-347, 379-425
Learning Tools CD-ROM:eSolutions, iC Open Explorations, and additional Student Resources for Sections1.1-1.6, 2.1-2.3, 2.5, 2.6, 7.1-7.5, 9.2-9.8, 11.6
MA.D.1.4.2determines the impact when changing parameters of givenfunctions.
Pupil’s Edition:1.3 Shifting, Reflecting, and Stretching Graphs, 92-100; 1.4 Combinations ofFunctions, 101-107; 1.5 Inverse Functions, 108-116; 1.6 MathematicalModeling, 117-128; 1.R Review Exercises, 130-131 (#37-75); 1.PS ProblemSolving, 132-133 (#10-20); 5.6 A Summary of Curve Sketching, 355-362;5.7 Optimization Problems, 363-373; 5.R selected Review Problems, 383 (#43-68); 9.5 Graphs of Sine and Cosine Functions, 580-590; 14.4 ParametricEquations, 883-890; 14.R selected Review Exercises, 908 (#39-52); and analysisof function throughout the text
Ancillaries Study and Solutions Guide:54-71, 73-75, 76-77, 217-233, 236-239, 349-353, 562-567, 582-583
Test Item File:96-137, 272-286, 392-402, 613-623
Learning Tools CD-ROM:eSolutions, iC Open Explorations, and additional Student Resources for Sections1.3-1.6, 5.6, 5.7, 9.5, 14.4
I
CORRELATIONSUNSHINE STATE STANDARDS
SUBJECT: Mathematics 9-12: Calculus
SUBMISSION TITLE: Calculus I with Precalculus
*Indepth/Mentioned page 25Section number and title narrative is included to locate supporting material in ancillaries.Selected exercises are referenced in parentheses, otherwise entire page is applicable.
GRADE: 9-12
STRAND D: Algebraic Thinking
STANDARD 2: The student uses expressions, equations, inequalities, graphs, and formulas to represent and interpret situations.
BENCHMARKPAGE(S) OR LOCATION(S)
WHERE TAUGHT I/M*MA.D.2.4.1represents real-world problem situations using finitegraphs, matrices, sequences, series, and recursive relations.
Pupil’s Edition:2.4 the Mandlebrot Set, 173 (Section Project); 6.2 Area, 409 (#83);6.PS selected Problem Solving, 455 (#14); 13.4 Matrices, 821 (#85-91);13.5 Operations with Matrices, 831, 833-834 (#71-76); 13.7 Application of theDeterminant of a Square Matrix, 848; 13.R selected Review Exercises,854 (#117); 13.PS selected Problem Solving, 856-857 (#6, 18)
Ancillaries Study and Solutions Guide:255, 513-514, 538
Test Item File:572
Learning Tools CD-ROM:eSolutions, iC Open Explorations, and additional Student Resources for Sections2.4, 6.2, 13.4, 13.5, 13.7
I
CORRELATIONSUNSHINE STATE STANDARDS
SUBJECT: Mathematics 9-12: Calculus
SUBMISSION TITLE: Calculus I with Precalculus
*Indepth/Mentioned page 26Section number and title narrative is included to locate supporting material in ancillaries.Selected exercises are referenced in parentheses, otherwise entire page is applicable.
BENCHMARKPAGE(S) OR LOCATION(S)
WHERE TAUGHT I/M*MA.D.2.4.2uses systems of equations and inequalities to solve real-world problems graphically, algebraically, and withmatrices.
Pupil’s Edition:13.A Speed Skating, 774; 13.1 Systems of Linear Equations in Two Variables,776-787; 13.2 Multivariable Linear Systems, 788-798; 13.3 Systems ofInequalities, 799-807; 13.4 Matrices and Systems of Equations, 808-821;13.5 Operations with Matrices, 822-834; 13.6 The Inverse of a Square Matrix,835-843; 13.7 The Determinant of a Square Matrix, 844-850; 13.R ReviewExercises, 851-855; 13.PS Problem Solving, 856-857
Ancillaries Study and Solutions Guide:486-544
Test Item File:526-589
Learning Tools CD-ROM:eSolutions, iC Open Explorations, and additional Student Resources for Sections13.1-13.7
I
CORRELATIONSUNSHINE STATE STANDARDS
SUBJECT: Mathematics 9-12: Calculus
SUBMISSION TITLE: Calculus I with Precalculus
*Indepth/Mentioned page 27Section number and title narrative is included to locate supporting material in ancillaries.Selected exercises are referenced in parentheses, otherwise entire page is applicable.
GRADE: 9-12
STRAND E: Data Analysis and Probability
STANDARD 1: The student understands and uses the tools of data analysis for managing information.
BENCHMARKPAGE(S) OR LOCATION(S)
WHERE TAUGHT I/M*MA.E.1.4.1interprets data that has been collected, organized, anddisplayed in charts, tables, and plots.
Pupil’s Edition:P.A Rock and Roll Hall of Fame, xviii; P.3 Graphical Representations of Data,28, 34-35 (#39-48, 69-70); P.4 Applications of Graphs of Equations, 43, 46 (#75-76); P.5 Applications of Linear Equations in Two Variables, 55, 57 (#39-41),59 (#97-108), 60 (#110-114); P.R selected Review Exercises, 62 (#75-76);P.PS selected Problem Solving, 65 (#11-14); 1.A Predator-Prey Cycles, 66;1.1 Functions, 77-78 (#92-99, 101); 1.2 Analyzing Graphs of Functions,90-91 (#123, 126-127); 1.5 Inverse Functions, 115-116 (#82-84);1.6 Mathematical Modeling, 117-128; 1.R selected Review Exercises, 131 (#68,72); 3.A Swimming Speed: Taking It to the Limit, 204; 4.A Packaging: TheOptimal Form, 252; 5.A Plastics and Cooling, 312; 7.A Crumple Zones, 456;7.5 Exponential and Logarithmic Models, 493-503; and modeling and analyzingdata in Section Exercises, Review Exercises, and Problem Solving throughoutthe text
Ancillaries Study and Solutions Guide:22-24, 28-29, 30-31, 39, 42, 47-48, 54, 67-75, 297-302
Test Item File:42-43, 53-54, 65-66, 79, 94-95, 126, 127-137, 341-347
Learning Tools CD-ROM:eSolutions, iC Open Explorations, and additional Student Resources for SectionsP.3-P.5, 1.1, 1.2, 1.5, 1.6, 7.5; see also Calculus Labs 1, 2, 3, 5, 12
I
CORRELATIONSUNSHINE STATE STANDARDS
SUBJECT: Mathematics 9-12: Calculus
SUBMISSION TITLE: Calculus I with Precalculus
*Indepth/Mentioned page 28Section number and title narrative is included to locate supporting material in ancillaries.Selected exercises are referenced in parentheses, otherwise entire page is applicable.
BENCHMARKPAGE(S) OR LOCATION(S)
WHERE TAUGHT I/M*MA.E.1.4.2calculates measures of central tendency (mean, median,and mode) and dispersion (range, standard deviation, andvariance) for complex sets of data and determines the mostmeaningful measure to describe the data.
This standard is a prerequisite to Calculus, and is applied throughout the text. See,for example:
Pupil’s Edition:P.4 Data Analysis, 43, 46 (#75-76); P.5 Data Analysis, 55, 60 (#113-114); P.PSselected Problem Solving, 65 (#11, 13); 1.1 Functions, 77-78 (#96-97); 6.4 TheFundamental Theorem of Calculus, 430-431 (#53-58); and other applications ofmeasures of center and dispersion throughout the text
Ancillaries Study and Solutions Guide:28, 35, 42, 48, 260
Test Item File:53, 62, 304
Learning Tools CD-ROM:eSolutions, iC Open Explorations, and additional Student Resources for SectionsP.4, P.5, 1.1, 6.4; see also Calculus Labs 1, 2, 3, 5, 12
M
CORRELATIONSUNSHINE STATE STANDARDS
SUBJECT: Mathematics 9-12: Calculus
SUBMISSION TITLE: Calculus I with Precalculus
*Indepth/Mentioned page 29Section number and title narrative is included to locate supporting material in ancillaries.Selected exercises are referenced in parentheses, otherwise entire page is applicable.
BENCHMARKPAGE(S) OR LOCATION(S)
WHERE TAUGHT I/M*MA.E.1.4.3analyzes real-world data and makes predictions of largerpopulations by applying formulas to calculate measures ofcentral tendency and dispersion using the samplepopulation data, and using appropriate technology,including calculators and computers.
This standard is a prerequisite to Calculus, and is applied throughout the text. See,for example:
Pupil’s Edition:P.4 Data Analysis, 43, 46 (#75-76); P.5 Data Analysis, 55, 60 (#113-114); P.PSselected Problem Solving, 65 (#11, 13); 6.4 The Fundamental Theorem ofCalculus, 430-431 (#53-58); and other data analysis applications throughout thetext
Ancillaries Study and Solutions Guide:28, 35, 42, 260
Test Item File:53, 62, 304
Learning Tools CD-ROM:eSolutions, iC Open Explorations, and additional Student Resources for SectionsP.4, P.5, 6.4; see also Calculus Labs 1, 2, 3, 5, 12
M
CORRELATIONSUNSHINE STATE STANDARDS
SUBJECT: Mathematics 9-12: Calculus
SUBMISSION TITLE: Calculus I with Precalculus
*Indepth/Mentioned page 30Section number and title narrative is included to locate supporting material in ancillaries.Selected exercises are referenced in parentheses, otherwise entire page is applicable.
GRADE: 9-12
STRAND E: Data Analysis and Probability
STANDARD 2: The student identifies patterns and makes predictions from an orderly display of data using concepts of probabilityand statistics.
BENCHMARKPAGE(S) OR LOCATION(S)
WHERE TAUGHT I/M*MA.E.2.4.1determines probabilities using counting procedures, tables,tree diagrams, and formulas for permutations andcombinations.
This standard is a prerequisite to Calculus, and is applied throughout the text. See,for example:
Pupil’s Edition:6.2 Sigma Notation, 398-399, 406-407 (#1-22), 409 (#79-80, 82-84);6.R selected Review Exercises, 453 (#67-68); 8.1 The Normal ProbabilityDensity Function, 513, 518 (#79-80); 8.R selected Review Exercise, 543 (#59)
Ancillaries Study and Solutions Guide:249-250, 254-255, 276, 315, 329
Test Item File:293-295
Learning Tools CD-ROM:eSolutions, iC Open Explorations, and additional Student Resources for Sections6.2, 8.1
M
CORRELATIONSUNSHINE STATE STANDARDS
SUBJECT: Mathematics 9-12: Calculus
SUBMISSION TITLE: Calculus I with Precalculus
*Indepth/Mentioned page 31Section number and title narrative is included to locate supporting material in ancillaries.Selected exercises are referenced in parentheses, otherwise entire page is applicable.
BENCHMARKPAGE(S) OR LOCATION(S)
WHERE TAUGHT I/M*MA.E.2.4.2determines the probability for simple and compoundevents as well as independent and dependent events.
This standard is a prerequisite to Calculus, and is applied throughout the text. See,for example:
Pupil’s Edition:6.R selected Review Exercises, 453 (#67-68); 8.1 The Normal ProbabilityDensity Function, 513, 518 (#79-80); 8.R selected Review Exercise, 543 (#59)
Ancillaries Study and Solutions Guide:254-255, 276, 315, 329
Learning Tools CD-ROM:eSolutions, iC Open Explorations, and additional Student Resources for Section8.1
M
CORRELATIONSUNSHINE STATE STANDARDS
SUBJECT: Mathematics 9-12: Calculus
SUBMISSION TITLE: Calculus I with Precalculus
*Indepth/Mentioned page 32Section number and title narrative is included to locate supporting material in ancillaries.Selected exercises are referenced in parentheses, otherwise entire page is applicable.
GRADE: 9-12
STRAND E: Data Analysis and Probability
STANDARD 3: The student uses statistical methods to make inferences and valid arguments about real-world situations.
BENCHMARKPAGE(S) OR LOCATION(S)
WHERE TAUGHT I/M*MA.E.3.4.1designs and performs real-world statistical experimentsthat involve more than one variable, then analyzes resultsand reports findings.
Pupil’s Edition:For opportunities to address this standard, see the following pages: P.A Rock andRoll Hall of Fame, xviii; P.3 Graphical Representations of Data, 28, 34-35 (#39-48, 69-70); P.4 Applications of Graphs of Equations, 43, 46 (#75-76);P.5 Applications of Linear Equations in Two Variables, 55, 57 (#39-41), 59(#97-108), 60 (#110-114); P.R selected Review Exercises, 62 (#75-76);P.PS selected Problem Solving, 65 (#11-14); 1.A Predator-Prey Cycles, 66;1.1 Functions, 77-78 (#92-99, 101); 1.2 Analyzing Graphs of Functions, 90-91(#123, 126-127); 1.5 Inverse Functions, 115-116 (#82-84); 1.6 MathematicalModeling, 117-128; 1.R selected Review Exercises, 131 (#68, 72);3.A Swimming Speed: Taking It to the Limit, 204; 4.A Packaging: The OptimalForm, 252; 5.A Plastics and Cooling, 312; 7.A Crumple Zones, 456;7.5 Exponential and Logarithmic Models, 493-503; and modeling and analyzingdata in Section Exercises, Review Exercises, and Problem Solving throughoutthe text
Ancillaries Study and Solutions Guide:22-24, 28-29, 30-31, 39, 42, 47-48, 54, 67-75, 297-302
Test Item File:42-43, 53-54, 65-66, 79, 94-95, 126, 127-137, 341-347
(continued on next page)
I
CORRELATIONSUNSHINE STATE STANDARDS
SUBJECT: Mathematics 9-12: Calculus
SUBMISSION TITLE: Calculus I with Precalculus
*Indepth/Mentioned page 33Section number and title narrative is included to locate supporting material in ancillaries.Selected exercises are referenced in parentheses, otherwise entire page is applicable.
BENCHMARKPAGE(S) OR LOCATION(S)
WHERE TAUGHT I/M*Learning Tools CD-ROM:eSolutions, iC Open Explorations, and additional Student Resources for SectionsP.3-P.5, 1.1, 1.2, 1.5, 1.6, 7.5; see also Calculus Labs 1, 2, 3, 5, 12
MA.E.3.4.2explains the limitations of using statistical techniques anddata in making inferences and valid arguments.
Pupil’s Edition:For opportunities to address this standard, see the following pages:P.A Rock andRoll Hall of Fame, xviii; P.3 Graphical Representations of Data, 28, 34-35 (#39-48, 69-70); P.4 Applications of Graphs of Equations, 43, 46 (#75-76); P.5Applications of Linear Equations in Two Variables, 55, 57 (#39-41), 59 (#97-108), 60 (#110-114); P.R selected Review Exercises, 62 (#75-76); P.PSselected Problem Solving, 65 (#11-14); 1.A Predator-Prey Cycles, 66; 1.1Functions, 77-78 (#92-99, 101); 1.2 Analyzing Graphs of Functions, 90-91(#123, 126-127); 1.5 Inverse Functions, 115-116 (#82-84); 1.6 MathematicalModeling, 117-128;1.R selected Review Exercises, 131 (#68, 72); 3.A Swimming Speed: Taking Itto the Limit, 204; 4.A Packaging: The Optimal Form, 252; 5.A Plastics andCooling, 312; 7.A Crumple Zones, 456; 7.5 Exponential and LogarithmicModels, 493-503; and modeling and analyzing data in Section Exercises,Review Exercises, and Problem Solving throughout the text
Ancillaries Study and Solutions Guide:22-24, 28-29, 30-31, 39, 42, 47-48, 54, 67-75, 297-302
Test Item File:42-43, 53-54, 65-66, 79, 94-95, 126, 127-137, 341-347
Learning Tools CD-ROM:eSolutions, iC Open Explorations, and additional Student Resources for SectionsP.3-P.5, 1.1, 1.2, 1.5, 1.6, 7.5; see also Calculus Labs 1, 2, 3, 5, 12
I
CORRELATIONCURRICULUM FRAMEWORKS
*Indepth/Mentioned page 1Section numbers and title narrative is included to locate supporting material in ancillaries.Selected exercises are referenced in parentheses, otherwise entire page is applicable.
COURSE TITLE: Calculus
COURSE NUMBER: 1202300
SUBMISSION TITLE: Calculus I with Precalculus
PUBLISHER: McDougal Littell
INTENDED OUTCOMES(Number and outcome)
PAGE(S) OR LOCATION(S)WHERE TAUGHT I/M*
1. Work with functions graphically, numerically, andanalytically: and demonstrate understanding ofconnections among these multiple representations.
MA.D.1.4.1 describe, analyze, and generalizerelationships, patterns, and functionsusing words, symbols, variables,tables, and graphs.
MA.D.1.4.2 determine the impact when changingparameters of given functions.
MA.D.2.4.1 represent real-world problemsituations using finite graphs,matrices, sequences, series, andrecursive relations.
The following page references relate specifically to the Intended CourseOutcome. Exhaustive references for the supporting Standards, by Standard,are provided in the companion document, A Correlation of Calculus I withPrecalculus to the Sunshine State Standards, which is included in the binder.
Pupil’s Edition:1.1 Functions, 68-78; 1.2 Analyzing Graphs of Functions, 79-91; 1.3 Shifting,Reflecting, and Stretching Graphs, 92-100; 1.4 Combinations of Functions, 101-107; 1.5 Inverse Functions, 108-116; 1.6 Mathematical Modeling, 117-128;1.R Review Exercises, 129-131; 1.PS Problem Solving, 132-133; 2.1 QuadraticFunctions, 136-146; 2.2 Polynomial Functions of Higher Degree, 147-156;2.3 The Remainder and Factor Theorems, 161-163, 164-165 (#39-85); 2.4 TheMandlebrot Set, 173 (Section Project); 2.5 Zeros of Polynomial Functions, 174-184; 2.6 Rational Functions, 185-196; 2.R selected Review Exercises, 198 (#3-38), 199 (#49-60), 200-201 (#79-128); 2.PS selected Problem Solving, 202-203(#1-11, 14-16); 5.6 A Summary of Curve Sketching, 355-362; 5.7 OptimizationProblems, 363-373; 5.R selected review problems, 383 (#43-68); 6.2 Area, 409(#83); 6.PS selected Problem Solving, 455 (#14); 7.1 Exponential Functions andTheir Graphs, 459-466; 7.2 Logarithmic Functions and Their Graphs, 467-476;7.3 Using Properties of Logarithms, 480, 481 (#17-22), 482 (#85-96);7.4 Exponential and Logarithmic Equations, 490 (#65-72), 491-492 (#121-126);7.5 Exponential and Logarithmic Models, 493-503; 7.R selected Review Exercise,504-505 (#7-60), 506 (#77-78), 507 (#119-134); 7.PS selected Problem Solving,508-509 (#1-12, 17-20); 9.2 Trigonometric Functions, 558-561, 562-563 (#29-42),563 (#53-69); 9.3 Right Triangle Trigonometry, 564-571; 9.4 TrigonometricFunctions of Any Angle, 572-579; 9.5 Graphs of Sine and Cosine Functions, 580-590; 9.6 Graphs of Other Trigonometric Functions, 591-600; 9.7 InverseTrigonometric Functions, 601-609; 9.8 Applications and Models, 610-618;(continued on next page)
I
CORRELATIONCURRICULUM FRAMEWORKS
COURSE TITLE: Calculus
SUBMISSION TITLE: Calculus I with Precalculus
*Indepth/Mentioned page 2Section numbers and title narrative is included to locate supporting material in ancillaries.Selected exercises are referenced in parentheses, otherwise entire page is applicable.
INTENDED OUTCOMES(Number and outcome)
PAGE(S) OR LOCATION(S)WHERE TAUGHT I/M*
9.R selected Review Exercises, 619-621 (#23-133); 9.PS Problem Solving, 622-623; 11.6 Hyperbolic and Inverse Hyperbolic Functions, 707-709, 711-713,715 (#1-10); 13.4 Matrices, 821 (#85-91); 13.5 Operations with Matrices, 831,833-834 (#71-76); 13.7 Application of the Determinant of a Square Matrix, 848;13.R selected Review Exercises, 854 (#117); 13.PS selected Problem Solving,856-857 (#6, 18); 14.4 Parametric Equations, 883-890; 14.R selected ReviewExercises, 908 (#39-52); and analysis of function throughout Calculus
AncillariesStudy and Solutions Guide:44-77, 79-92, 94-97, 101-119, 120-121, 122-127, 280-288, 289, 291, 293, 296-305, 307-309, 336, 337-373, 439
Test Item File:67-154, 161, 169-194, 313-328, 339-347, 379-425
Learning Tools CD-ROM:eSolutions, iC Open Explorations, and additional Student Resources for Sections1.1-1.6, 2.1-2.3, 2.5, 2.6, 7.1-7.5, 9.2-9.8, 11.6
CORRELATIONCURRICULUM FRAMEWORKS
COURSE TITLE: Calculus
SUBMISSION TITLE: Calculus I with Precalculus
*Indepth/Mentioned page 3Section numbers and title narrative is included to locate supporting material in ancillaries.Selected exercises are referenced in parentheses, otherwise entire page is applicable.
INTENDED OUTCOMES(Number and outcome)
PAGE(S) OR LOCATION(S)WHERE TAUGHT I/M*
2. Apply the theory of limits and continuity to solveproblems.
MA.A.2.4.1 understand and use the basic conceptsof limits and infinity.
The following page references relate specifically to the Intended CourseOutcome. Exhaustive references for the supporting Standards, by Standard,are provided in the companion document, A Correlation of Calculus I withPrecalculus to the Sunshine State Standards, which is included in the binder.
Pupil’s Edition:3.A Swimming Speed: Taking It to the Limit, 204; 3.1 A Preview of Calculus,206-211; 3.2 Finding Limits Graphically and Numerically, 212-219;3.3 Evaluating Limits Analytically, 220-228; 3.4 Continuity and One-SidedLimits, 229-240; 3.5 Infinite Limits, 240-247; 3.R Review Exercises, 248-249;3.PS Problem Solving, 250-251; 5.5 Limits at Infinity, 345-354; 5.R selectedReview Exercises, 382 (#31-42); 5.PS selected Problem Solving, 384 (#1, 9);6.2 Upper and Lower Sums, 402-406, 407 (#31-35, 41-47), 408 (#48-60, 73),409 (#80); 6.3 Riemann Sums, 410-412, 417 (#1-2); 6.R selected ReviewExercises, 451-452 (#19-26); 11.1 Limits of Trigonometric Functions, 670-676;11.R selected Review Exercises, 717 (#1-16)
AncillariesStudy and Solutions Guide:129-148, 210-216, 235-236, 240, 241, 250-253, 255, 273-274, 418-421, 443
Test Item File:195-218, 268-271, 293-294, 296, 300, 466-468
Learning Tools CD-ROM:eSolutions, iC Open Explorations, and additional Student Resources for Sections3.1-3.5, 5.5, 6.2, 6.3, 11.1
I
CORRELATIONCURRICULUM FRAMEWORKS
COURSE TITLE: Calculus
SUBMISSION TITLE: Calculus I with Precalculus
*Indepth/Mentioned page 4Section numbers and title narrative is included to locate supporting material in ancillaries.Selected exercises are referenced in parentheses, otherwise entire page is applicable.
INTENDED OUTCOMES(Number and outcome)
PAGE(S) OR LOCATION(S)WHERE TAUGHT I/M*
3. Demonstrate understanding of the meaning ofderivatives, apply rules of differentiation, and usederivatives to solve varied problems.
MA.B.2.4.1 select and use direct (measured) andindirect (not measured) methods ofmeasurement as appropriate.
MA.B.2.4.2 solve real world problems involvingrated measures (miles per hour, feetper second).
MA.B.4.4.1 determine the level of accuracy andprecision, including absolute valueand relative errors or tolerance,required in real-world measurementsituations
The following page references relate specifically to the Intended CourseOutcome. Exhaustive references for the supporting Standards, by Standard,are provided in the companion document, A Correlation of Calculus I withPrecalculus to the Sunshine State Standards, which is included in the binder.
Pupil’s Edition:4.1 The Derivative and the Tangent Line Problem, 254-264; 4.2 BasicDifferentiation Rule and Rates of Change, 265-275; 4.3 The Product and QuotientRules and Higher-Order Derivatives, 276-284; 4.4 The Chain Rule, 285-292;4.5 Implicit Differentiation, 293-299; 4.R Review Exercises, 307-309 (#1-84);4.PS Problem Solving, 310 (#1-8); 5.1 Extrema on an Interval, 314-321;5.2 Rolle’s Theorem and the Mean Value Theorem, 322-327; 5.3 Increasing andDecreasing Functions and the First Derivative Test, 328-336; 5.4 Concavity andthe Second Derivative Test, 337-344; 5.6 A Summary of Curve Sketching, 355-362; 5.7 Optimization Problems, 363-373; 5.8 Differentials, 374-380; 5.R selectedReview Exercises, 381-383 (#1-30, 43-72); 5.PS Problem Solving, 384-385;8.1 Differentiation of Exponential Functions, 512-513, 516 (#3-26);8.2 Logarithmic Functions and Differentiation, 519-527; 8.R selected ReviewExercises, 542 (#3-12); 8.PS selected Problem Solving, 545 (#10);11.2 Trigonometric Functions: Differentiation, 677-686; 11.4 InverseTrigonometric Functions: Differentiation, 695-699; 11.6 Differentiation ofHyperbolic and Inverse Hyperbolic Functions, 709-710, 713-714, 715 (#11-22,47-54); 11.R selected Review Exercises, 717-718 (#17-36), 719 (#77-80, 91-92);11.PS selected Problem Solving, 721 (#14)
AncillariesStudy and Solutions Guide:150-175, 180-187, 311-312, 315-320, 326, 422-428, 433-436, 438-440, 441
(continued on next page)
I
CORRELATIONCURRICULUM FRAMEWORKS
COURSE TITLE: Calculus
SUBMISSION TITLE: Calculus I with Precalculus
*Indepth/Mentioned page 5Section numbers and title narrative is included to locate supporting material in ancillaries.Selected exercises are referenced in parentheses, otherwise entire page is applicable.
INTENDED OUTCOMES(Number and outcome)
PAGE(S) OR LOCATION(S)WHERE TAUGHT I/M*
Test Item File:219-245, 348-352, 356-361, 468-476, 481-484, 489
Learning Tools CD-ROM:eSolutions, iC Open Explorations, and additional Student Resources for Sections4.1-4.5, 8.1, 8.2, 11.2, 11.4, 11.6
CORRELATIONCURRICULUM FRAMEWORKS
COURSE TITLE: Calculus
SUBMISSION TITLE: Calculus I with Precalculus
*Indepth/Mentioned page 6Section numbers and title narrative is included to locate supporting material in ancillaries.Selected exercises are referenced in parentheses, otherwise entire page is applicable.
INTENDED OUTCOMES(Number and outcome)
PAGE(S) OR LOCATION(S)WHERE TAUGHT I/M*
4. Find the general antiderivative of a function. The following page references relate specifically to the Intended CourseOutcome. Exhaustive references for the supporting Standards, by Standard,are provided in the companion document, A Correlation of Calculus I withPrecalculus to the Sunshine State Standards, which is included in the binder.
Pupil’s Edition:6.1 Antiderivatives and Indefinite Integration, 388-397; 6.5 Integration bySubstitution, 433-438, 442 (#1-32, 39-46), 443 (#81); 6.R selected ReviewExercises, 451 (#1-8), 452 (#51-60); 8.1 Integration of Exponential Functions,514-515, 517 (#45-66); 8.3 Logarithmic Functions and Integration, 528-529, 530-532, 533-534 (#1-40), 535 (#63-67, 79-80); 8.R selected Review Exercises, 542(#13-21), 543 (#47-56); 11.3 Trigonometric Functions: Integration, 687-690, 692(#1-32, 45-46); 11.5 Inverse Trigonometric Functions: Integration, 700-702, 704,705 (#1-46, intermittently); 11.6 Integration of Hyperbolic and Inverse HyperbolicFunctions, 709, 711, 713, 714, 715 (#33-40, 44-46), 716 (#59-66); 11.R selectedReview Exercises, 718 (#49-60), 719 (#83-88)
AncillariesStudy and Solutions Guide:245-249, 262-268, 272, 275-276, 314, 320-321, 323, 327, 328-329, 429, 430, 436-438, 441-442, 445-447
Test Item File:287-292, 301-312, 352-355, 361-366, 476-480, 484-488, 490-491
Learning Tools CD-ROM:eSolutions, iC Open Explorations, and additional Student Resources for Sections6.1, 6.5, 8.1, 8.3, 11.3, 11.5, 11.6
I
CORRELATIONCURRICULUM FRAMEWORKS
COURSE TITLE: Calculus
SUBMISSION TITLE: Calculus I with Precalculus
*Indepth/Mentioned page 7Section numbers and title narrative is included to locate supporting material in ancillaries.Selected exercises are referenced in parentheses, otherwise entire page is applicable.
INTENDED OUTCOMES(Number and outcome)
PAGE(S) OR LOCATION(S)WHERE TAUGHT I/M*
5. Demonstrate understanding of definite integralsand use integrals to solve varied problems.
MA.B.1.4.1 use concrete and graphic models toderive formulas for finding perimeter,area, surface area, circumference, andvolume of two- and three-dimensional shapes, includingrectangular solids, cylinders, cones,and pyramids.
MA.B.4.4.1 determine the level of accuracy andprecision, including absolute valueand relative errors or tolerance,required in real-world measurementsituations.
MA.C.2.4.2 analyze and apply geometricrelationships involving planar cross-sections (the intersection of a planeand a three-dimensional figure).
The following page references relate specifically to the Intended CourseOutcome. Exhaustive references for the supporting Standards, by Standard,are provided in the companion document, A Correlation of Calculus I withPrecalculus to the Sunshine State Standards, which is included in the binder.
Pupil’s Edition:6.1 Antiderivatives and Indefinite Integration, 392-393, 395-397 (#53-81);6.3 Riemann Sums and Definite Integrals, 410-419; 6.4 The FundamentalTheorem of Calculus, 420-432; 6.5 Integration by Substitution, 439-441,442 (#47-80), 433, (#82, 84); 6.6 Numerical Integration, 444-450; 6.R selectedReview Exercises, 452 (#29-50), 453 (#61-72); 6.PS Problem Solving, 454-455;8.1 Integration of Exponential Functions, 515, 518 (#77-81); 8.3 LogarithmicFunctions and Integration, 533, 534 (#33-46); 8.R selected Review Exercises,542 (#13-21), 543 (#47-56); 8.PS Problem Solving, 544-545; 11.3 TrigonometricFunctions: Integration, 691, 692-693 (#33-40, 47-58, 65-68); 11.5 InverseTrigonometric Functions: Integration, 705 (#3-46, intermittently); 11.6 Integrationof Hyperbolic and Inverse Hyperbolic Functions, 715 (#41-43); 11.R selectedReview Exercises, 718 (#63-66), 719 (#71-72, 75-76); 11.PS selected ProblemSolving, 720-721 (#5, 13)
AncillariesStudy and Solutions Guide:255-261, 266-272, 274-277, 315, 321, 327, 328-329, 429, 436-437, 441, 446
Test Item File:296-304, 305, 306, 308, 309-310, 312, 355, 477, 487
Learning Tools CD-ROM:eSolutions, iC Open Explorations, and additional Student Resources for Sections6.3-6.6, 8.1, 8.3, 11.3, 11.5, 11.6
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