Calculus

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

E/E

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®

95, 98, NT

, 2000, or ME

; 133 MH

z Pentium

processor; 32 MB

RA

Minstalled; 10 M

B available hard drive space; 16-bit color m

onitor with m

inimum

resolution settings800 x 600; M

icrosoft Internet Explorer®

5.01 Service P

ack 1 or higher or Netscape N

avigator® 4.7

or higher.

For M

acintosh: System

8.1 or later; 100 MH

z Pow

er Macintosh processor; 32 M

B installed R

AM

; 10M

B available hard drive space; 16-bit color m

onitor with suggested m

inimum

resolution settings800 x 600; four-speed C

D-R

OM

drive or better; Microsoft Internet E

xplorer® 5 or higher or N

etscapeN

avigator® 4.7 or higher.

Test G

enerato

r CD

-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






WHERE TAUGHT I/M*MA.A.1.4.2understands the relative size of integers, rational numbers,irrational numbers, and real numbers.


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.


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





GRADE: 9-12


STANDARD 2: The student understands number systems.


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






WHERE TAUGHT I/M*MA.A.2.4.2understands and uses the real number system.


Pupil’s Edition:P.1 Note, 2


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





GRADE: 9-12


STANDARD 3: The student understands the effects of operations on numbers and the relationships among these operations, selectsappropriate operations, and computes for problem solving


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.


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.


I





GRADE: 9-12


STANDARD 4: The student uses estimation in problem solving and computation.


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





GRADE: 9-12


STANDARD 5: The student understands and applies theories related to numbers.


WHERE TAUGHT I/M*MA.A.5.4.1applies special number relationships such as sequences andseries to real-world problems.


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





GRADE: 9-12

STRAND B: Measurement

STANDARD 1: The student measures quantities in the real world and uses the measures to solve problems.


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.


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






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






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


I






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






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





GRADE: 9-12


STANDARD 2: The student compares, contrasts, and converts within systems of measurement (both standard/nonstandard andmetric/ customary).


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






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





GRADE: 9-12


STANDARD 3: The student estimates measurements in real-world problem situations.


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





GRADE: 9-12


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.


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


I






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





GRADE: 9-12

STRAND C: Geometry and Spatial Sense

STANDARD 1: The student describes, draws, identifies, and analyzes two- and three-dimensional shapes.


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





GRADE: 9-12


STANDARD 2: The student visualizes and illustrates ways in which shapes can be combined, subdivided, and changed.


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






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





GRADE: 9-12


STANDARD 3: The student uses coordinate geometry to locate objects in both two- and three dimensions and to describe objectsalgebraically.


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






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.


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





GRADE: 9-12

STRAND D: Algebraic Thinking

STANDARD 1: The student describes, analyzes, and generalizes a wide variety of patterns, relations, and functions.


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)


I






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





GRADE: 9-12

STRAND D: Algebraic Thinking

STANDARD 2: The student uses expressions, equations, inequalities, graphs, and formulas to represent and interpret situations.


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






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


Learning Tools CD-ROM:eSolutions, iC Open Explorations, and additional Student Resources for Sections13.1-13.7

I





GRADE: 9-12

STRAND E: Data Analysis and Probability

STANDARD 1: The student understands and uses the tools of data analysis for managing information.


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






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.


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






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.


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





GRADE: 9-12


STANDARD 2: The student identifies patterns and makes predictions from an orderly display of data using concepts of probabilityand statistics.


WHERE TAUGHT I/M*MA.E.2.4.1determines probabilities using counting procedures, tables,tree diagrams, and formulas for permutations andcombinations.


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



M






WHERE TAUGHT I/M*MA.E.2.4.2determines the probability for simple and compoundevents as well as independent and dependent events.


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





GRADE: 9-12


STANDARD 3: The student uses statistical methods to make inferences and valid arguments about real-world situations.


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


Test Item File:42-43, 53-54, 65-66, 79, 94-95, 126, 127-137, 341-347


I






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


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


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







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







2. Apply the theory of limits and continuity to solveproblems.

MA.A.2.4.1 understand and use the basic conceptsof limits and infinity.


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







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


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


I







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







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







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).


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

I

Calculus

Documents

ic open explorations

locate supporting material

tangent line problem

hard drive space

additional student resources

test item file

ps problem solving

chapter problem solving