algebra and trigonometry - mcdougal littell - 2004 publisher’s questionnaire and correlations to...

6/20032004

Publisher’s Questionnaire

and Correlations to the

Sunshine State Standards

and

Curriculum Framework for Analytic Geometry

ALGEBRA AND

TRIGONOMETRYS I X T H E D I T I O N

©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

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TION

NA

IRE

2003–2004 INS

TRU

CTIO

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TER

IALS

AD

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TION

DIR

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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

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INIM

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or ν N

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The S

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adoption. Results w

ill be reported in theS

tate Com

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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

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SU

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Publisher

McD

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Subject A

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ubmitting

9-12 Mathem

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se exact title as it appears in the INS

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course may be designated

9-12 Mathem

atics / Analytic G

eometry

Title of S

ubmission

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metry

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rs List full name of author(s). G

ive major or senior author first.

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on

Larso

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stetler

Stu

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ts and

Grad

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escribe the type(s) of students and grade level(s) for which this subm

ission isintended.A

lgebra and Trigonom

etry is intended for regular students who are studying analytic

geometry.

©1999 S

tate of Florida

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items necessary to m

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ission.(A

dd pages as needed.) E

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his text is the choice for teachers who w

ish to include a moderate review

of algebra at thebeginning of their m

athematical analysis course. G

raphing technology plays an integral role. The

text introduces trigonometry w

ith a right-triangle approach and then with the unit circle.

Unparalleled exercises, m

otivating real-life applications, cutting-edge design, and innovativeancillaries and technology resources m

ake this the most com

plete program available.

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A clear, predictable layout, in w

hich solutions and explanations begin and end on the same page,

allows students to see concepts and solutions as a w

hole, without page-turning distractions.

Explorations preceding the introduction of selected topics provide the opportunity to engage

students in active discovery of mathem

atical concepts and relationships, often through the power

of technology. Explorations strengthen students' critical- thinking skills and help develop an

intuitive understanding of theoretical concepts.

All E

xam

ple

s have been carefully chosen to illustrate a particular mathem

atical concept orproblem

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ple contains step-by-step solutions, most w

ith line-by-lineexplanations that lead students through the solution process, m

aking it easy for students tounderstand the concepts being explained. S

pecial Algebra of C

alculus examples and exercises

highlight the algebraic techniques used in calculus to show students how

the mathem

atics they arelearning now

will be used in future courses.

Optional graphing technology support is provided in m

arginal point-of-use instructions thatencourage the use of graphing technology as a tool to visualize m

athematical concepts, to verify

other solution methods, and to facilitate com

putation. In addition, the section

A w

ide variety of Exe

rcises, including com

putational, conceptual, and applied problems are

carefully graded in difficulty to allow students to gain confidence as they progress. E

ach exerciseset includes S

ynthesis Exercises that prom

ote further exploration of mathem

atical concepts,critical-thinking skills, and w

riting about mathem

atics, and Review

Exercises that reinforce

previously learned skills and concepts.

Abundant, up-to-date R

eal-Life Applications are integrated throughout the exam

ples and exercisesand identified by a globe icon to reinforce the relevance of the concepts being learned. M

odel Itreal-life applications in nearly every section are m

ulti-part exercises that require students togenerate and analyze m

athematical m

odels. First referenced in the W

hy You S

hould Learn It at thebeginning of each section, these interesting applications illustrate w

hy it is important to learn the

concepts in each section.

P.S

. Problem

Solving, at the conclusion of each chapter, features a collection of thought-provoking

and challenging exercises that further explore and expand upon the concepts of the chapter.T

hese exercises have unique characteristics that set them apart from

traditional algebra andtrigonom

etry exercises.P

roofs in Mathem

atics shows the proofs of selected theorem

s and demonstrates different proof

techniques. For added convenience, these proofs are placed at the end of relevant chapters.

©1999 S

tate of Florida

A w

ealth of student success tools includes How

to Study T

his Chapter, a chapter-opening study

guide that includes What you should learn (section-opening objectives), Im

portant Vocabulary, a list

of Study T

ools, and a list of Additional R

esources to help the student prepare for the chapter; Wh

yyou should learn it, a section-opening, real-life application or a reference to other branches ofm

athematics, illustrating the relevance of the section's content; and W

hat did you learn?, a concisechapter sum

mary organized by section. T

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Exercises to help students prepare for exam

s. Additional carefully crafted learning tools designed to

create a rich learning environment include S

tudy Tips, H

istorical Notes, W

riting about Mathem

atics,C

hapter Review

Exercises, C

hapter Tests, and C

umulative T

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he instructor’s annotated edition includes the entire student edition of the text, with the student

answers section. T

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echnology exercises, Chapter P

roject exercises, and Group

Activities. A

nnotations at point-of-use offer specific teaching strategies and suggestions forim

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ples,exercises, class activities, and group activities. 2.

Briefly describe the A

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This notebook organizer helps the student develop a section-by-section sum

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content. It is a set of template form

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graphs, and keep track of homew

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Cum

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Cum

ulative Tests, E

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Test Item

File

This is a printed guide of all item

s appearing in the computerized testing softw

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Class P

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need to develop his or her course, including a transition guide, Pow

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text exercises. HM

Testing V

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presentations, asa tutorial, or in m

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textbook content, and a glossary.

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he goal is to determine w

hether theam

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itted. A

lgebra and Trigonom

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equivalent block of time.

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the publisher,the type of inservice available, how

it may be obtained, and if there is a charge for the service. (If th

isp

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McD

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lorida school district in which

Algebra and T

rigonometry is adopted. C

onsultant services and staff development m

ay be arrangedon a m

utually convenient basis at no cost to the school district. This service is provided for the life

of the contract and may be arranged by contacting the F

lorida McD

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an

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The com

pany maintains a toll-free telephone (1-800-323-5435) to answ

er any questions andprovide service to teachers. T

his service is available from 8 a.m

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ST

, Monday through

Friday. F

or Technical support w

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between 9 a.m

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, Monday through F

riday. Frequently asked questions about

technology are answered on the com

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Evan

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, IL 60204

Telephone

(800) 323-5435, x3985

_________________________________________________________________Signature

D

ate

CORRELATIONSUNSHINE STATE STANDARDS

*Indepth/Mentioned page 1Selected exercises are referenced in parentheses, otherwise entire page is applicable.

SUBJECT: Mathematics 9-12: Analytic Geometry

SUBMISSION TITLE: Algebra and Trigonometry

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, andstandard numerals with integers, rational numbers,irrational numbers, real numbers, and complex numbers.

This standard is addressed throughout the text. Representative citations are listed.

Pupil’s Edition/Instructor’s Annotated Edition:2-11, 12-23, 24-32, 33-40, 41-50, 51-57, 58-67, 69-71, 72, 78-87, 88-96, 97-108,109-122, 123-129, 130-140, 141-150, 151-160, 162-165, 166, 172-186, 187-200,201-210, 211-218, 219-228, 229-236, 237-246, 248-251, 252, 253-254, 260-270,271-283, 284-292, 293-307, 308-319, 321-324, 325, 332-340, 341-349, 350-357,358-370, 371-378, 380-383, 384, 390-400, 401-410, 411-416, 417-427, 428-440,442-445, 446, 447-448, 454-464, 465-475, 476-487, 488-498, 499-509, 510-519,520-530, 532-535, 536

Ancillaries Test Item File and Resource Guide:1-27, 29-67, 69-115, 117-144, 145-168, 169-195, 197-234

Student Success Organizer:1-4, 5-8, 9-10, 11-12, 13-14, 15-16, 17-19, 21-24, 25-27, 29-31, 33-35, 37-39, 41-42, 43-45, 47-50, 51-54, 55-57, 59-61, 63-66, 67-68, 69-70, 71-72, 73-74, 75-76, 77-78, 79-82, 83-85, 87-88, 89-90, 91-92, 93-95, 97-98, 99-100, 101-103, 105-106,107-108, 109-111, 113-116, 117-120, 121-122, 123-126, 127-129, 131-133, 135-136

Learning Tools CD-ROM:See material pertinent to the following chapter sections: P1, P2, P3, P4, P5, P6, P7,1.1, 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, 1.8, 2.1, 2.2, 2.3, 2.4, 2.5, 2.6, 2.7, 3.1, 3.2, 3.3, 3.4,3.5, 4.1, 4.2, 4.3, 4.4, 4.5, 5.1, 5.2, 5.3, 5.4, 5.5, 6.1, 6.2, 6.3, 6.4, 6.5, 6.6, 6.7

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






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WHERE TAUGHT I/M*MA.A.1.4.3understands concrete and symbolic representations of realand complex numbers in real-world situations.






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WHERE TAUGHT I/M*MA.A.1.4.4understands that numbers can be represented in a varietyof equivalent forms, including integers, fractions,decimals, percents, scientific notation, exponents,radicals, absolute value, and logarithms.






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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.

Pupil’s Edition/Instructor’s Annotated Edition:4, 9 (#37-40), 802-812, 813-821, 822-831, 832-841

Ancillaries Test Item File and Resource Guide:1-3, 19-20, 337-347, 355-360

Student Success Organizer:1-4, 191-192, 193-194, 195-196, 197-198

Learning Tools CD-ROM:See material pertinent to the following chapter sections: P1, 11.1, 11.2, 11.3, 11.4

I

MA.A.2.4.2understands and uses the real number system.



Ancillaries Test Item File and Resource Guide:1-27, 29-67, 69-115, 117-144, 145-168, 169-195, 197-234(continued on next page)

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WHERE TAUGHT I/M*Student Success Organizer:1-4, 5-8, 9-10, 11-12, 13-14, 15-16, 17-19, 21-24, 25-27, 29-31, 33-35, 37-39, 41-42, 43-45, 47-50, 51-54, 55-57, 59-61, 63-66, 67-68, 69-70, 71-72, 73-74, 75-76, 77-78, 79-82, 83-85, 87-88, 89-90, 91-92, 93-95, 97-98, 99-100, 101-103, 105-106,107-108, 109-111, 113-116, 117-120, 121-122, 123-126, 127-129, 131-133, 135-136


MA.A.2.4.3understands the structure of the complex number system.

Pupil’s Edition/Instructor’s Annotated Edition:123-129, 164, 166 (#17-18), 637-647, 651-652, 653, 655 (#32-35)

Ancillaries Test Item File and Resource Guide:44-46, 62-63, 265-269

Student Success Organizer:37-39, 159-160

Learning Tools CD-ROM:See material pertinent to the following chapter sections: 1.5, 8.5

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GRADE: 9-12


STANDARD 3: The student understands the effects of operations on numbers and the relationships among these operations, selects appropriate 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.






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WHERE TAUGHT I/M*MA.A.3.4.2selects and justifies alternative strategies, such as usingproperties of numbers, including inverse, identity,distributive, associative, transitive, that allow operationalshortcuts for computational procedures in real-world ormathematical problems.






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WHERE TAUGHT I/M*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.






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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.

This standard is addressed throughout the text and ancillary materials.Representative citations are listed.

Pupil’s Edition/Instructor’s Annotated Edition:454-464, 465-475, 476-487, 488-498, 499-509, 510-519, 520-530, 532-535, 536,542-549, 550-556, 557-567, 568-574, 575-585, 587-589, 590, 598-606, 607-614,615-627, 628-636, 637-647, 649-652, 653, 654-655


Student Success Organizer:113-116, 117-120, 121-122, 123-126, 127-129, 131-133, 135-136, 137-138, 139-140, 141-142, 143-144, 145-148, 149-150, 151-152, 153-156, 157-158, 159-160

Learning Tools CD-ROM:See material pertinent to the following chapter sections: 6.1, 6.2, 6.3, 6.4, 6.5, 6.6,6.7, 7.1, 7.2, 7.3, 7.4, 7.5, 8.1, 8.2, 8.3, 8.4, 8.5

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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 sequencesand series to real-world problems.

Pupil’s Edition/Instructor’s Annotated Edition:4, 9 (#37-40), 802-812, 813-821, 822-831, 832-841



Learning Tools CD-ROM:See material pertinent to the following chapter sections: P1, 11.1, 11.2, 11.3, 11.4

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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/Instructor’s Annotated Edition:28, 30 (#97-98), 31, 32 (#105-106), 39, 40 (#121-124, 136), 48 (#33-34), 70 (#65-66), 75 (#10), 86 (#65-66), 94 (#93), 95 (#94), 102-105, 108, 139 (#99), 149 (#101-102), 160 (#87-88), 163 (#51), 164 (#64), 165 (#129), 166 (#21), 168 (#3),185 (#115), 198 (#85-86, 89-90), 210 (#78), 236 (#59), 249 (#53), 253 (#12-13),268 (#76), 316 (#41-44), 329 (#10), 519 (#104), 566 (#74), 584 (#119), 588 (#86),602, 613 (#47-48), 787 (#27), 788 (#28), 831 (#111)

Ancillaries Test Item File and Resource Guide:6-9, 22-23, 39-41, 60-61, 251-253, 271-272

Student Success Organizer:9-10, 29-31, 149-150

Learning Tools CD-ROM:See material pertinent to the following chapter sections: P3, 1.3, 8.1

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MA.B.1.4.2uses concrete and graphic models to derive formulas forfinding rate, distance, time, angle measures, and arclengths.



(continued on next page)

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WHERE TAUGHT I/M*Ancillaries Test Item File and Resource Guide:197-234, 235-249, 251-278



MA.B.1.4.3relates the concepts of measurement to similarity andproportionality in real-world situations






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GRADE: 9-12


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


WHERE TAUGHT I/M*MA.B.2.4.1selects and uses direct (measured) or indirect (notmeasured) methods of measurement as appropriate.






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WHERE TAUGHT I/M*MA.B.2.4.2solves real-world problems involving rated measures(miles per hour, feet per second).

Pupil’s Edition/Instructor’s Annotated Edition:23 (#113, 114), 32 (#104), 50 (#75), 57 (#57), 74 (#4), 96 (#100), 98, 106 (#54-61),115, 119 (#115), 120 (#117, 121), 121 (#130), 138 (#89, 90), 140 (#102), 146,148 (#91-92), 149 (#103-104), 150 (#108), 159 (#65-66), 163 (#58), 164 (#63, 76),166 (#20), 192, 218 (#69), 234 (#31), 249 (#51), 257 (#9), 265, 269 (#87),270 (#88), 306 (#109), 311, 316 (#55, 57), 324 (#101), 349 (#73), 370 (#78),376 (#29), 377 (#31), 409 (#60), 416 (#82), 426 (#119), 439 (#66), 460, 463 (#95-96), 464 (#97-98), 496 (#69), 497 (#70), 519 (#122), 522, 527 (#26, 29), 528 (#35),532 (#29-30), 536 (#2), 566 (#72-73), 584 (#120-121), 588 (#73-74), 594 (#5),605 (#43), 612 (#35), 622-623, 626 (#73-74, 79-80), 650 (#30, 63-64), 655 (#37,40), 660 (#6), 661 (#10), 681, 684 (#47-48), 693, 698 (#72), 728 (#10), 746 (#91)

Ancillaries Test Item File and Resource Guide:35 (#19-20), 39 (#42), 40 (#45, 47, 51), 41 (#55), 47 (#105), 48 (#108), 50 (#121),51 (#124), 73 (#18, 20), 76 (#33-34), 77 (#36), 130 (#65), 131 (#76), 132 (#77),146 (#11), 147 (#12), 152 (#24), 173 (#16), 182 (#69), 199 (#17-18), 200 (#19),211 (#63), 219 (#94, 97-98), 262 (#51), 282 (#12), 286 (#21, 23), 316 (#30)

Student Success Organizer:115

Learning Tools CD-ROM:See material pertinent to the following chapter sections: 1.4, 1.7, 2.2, 3.1, 3.5, 6.1,6.7, 8.3, 9.3

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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.






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GRADE: 9-12


STANDARD 4: The student selects and uses appropriate units and instruments for measurement to achieve the degree of precision and 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.






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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.






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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.

Opportunities to address this standard can be found on the following pages:

Pupil’s Edition/Instructor’s Annotated Edition:73, 167, 255, 326-327, 385, 449, 537, 591, 610, 656-659, 727, 797, 881-883

Ancillaries Test Item File:254-257, 272-273

Student Success Organizer:151-152

Learning Tools CD-ROM:See material pertinent to the following chapter sections: 8.2

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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/Instructor’s Annotated Edition:219-228, 332-340, 341-349, 350-357, 358-370, 371-378, 380-383, 384

Ancillaries Test Item File and Resource Guide:91-96, 145-168

Student Success Organizer:67-68, 87-88, 89-90, 91-92, 93-95, 97-98

Learning Tools CD-ROM:See material pertinent to the following chapter sections: 2.5, 4.1, 4.2, 4.3, 4.4, 4.5

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/Instructor’s Annotated Edition:332-340, 341-349, 350-357, 358-370, 371-378, 380-383, 384

Ancillaries Test Item File and Resource Guide:145-168


Learning Tools CD-ROM:See material pertinent to the following chapter sections: 4.1, 4.2, 4.3, 4.4, 4.5

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GRADE: 9-12


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


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.






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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/Instructor’s Annotated Edition:172-186, 187-200, 201-210, 211-218, 219-228, 229-236, 237-246, 248-251, 252,254, 260-270, 271-283, 284-292, 293-307, 308-319, 321-324, 325, 332-340, 341-349, 350-357, 358-370, 371-378, 380-383, 384, 390-400, 401-410, 411-416, 417-427, 428-440, 442-445, 446, 447-448, 454-464, 465-475, 476-487, 488-498, 499-509, 510-519, 520-530, 532-535, 536

Ancillaries Test Item File and Resource Guide:69-115, 117-144, 145-168, 169-195, 197-234

Student Success Organizer:51-54, 55-57, 59-61, 63-66, 67-68, 69-70, 71-72, 73-74, 75-76, 77-78, 79-82, 83-85,87-88, 89-90, 91-92, 93-95, 97-98, 99-100, 101-103, 105-106, 107-108, 109-111,113-116, 117-120, 121-122, 123-126, 127-129, 131-133, 135-136

Learning Tools CD-ROM:See material pertinent to the following chapter sections: 2.1, 2.2, 2.3, 2.4, 2.5, 2.6,2.7, 3.1, 3.2, 3.3, 3.4, 3.5, 4.1, 4.2, 4.3, 4.4, 4.5, 5.1, 5.2, 5.3, 5.4, 5.5, 6.1, 6.2, 6.3,6.4, 6.5, 6.6, 6.7

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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, and graphs.






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WHERE TAUGHT I/M*MA.D.1.4.2determines the impact when changing parameters of givenfunctions.


Pupil’s Edition/Instructor’s Annotated Edition:172-186, 187-200, 201-210, 211-218, 219-228, 229-236, 237-246, 248-251, 252,254, 260-270, 271-283, 284-292, 293-307, 308-319, 321-324, 325, 332-340, 341-349, 350-357, 358-370, 371-378, 380-383, 384, 390-400, 401-410, 411-416, 417-427, 428-440, 442-445, 446, 447-448, 476-487, 488-498, 499-509, 510-519, 520-530, 532-535, 536


Student Success Organizer:51-54, 55-57, 59-61, 63-66, 67-68, 69-70, 71-72, 73-74, 75-76, 77-78, 79-82, 83-85,87-88, 89-90, 91-92, 93-95, 97-98, 99-100, 101-103, 105-106, 107-108, 109-111,121-122, 123-126, 127-129, 131-133, 135-136

Learning Tools CD-ROM:See material pertinent to the following chapter sections: 2.1, 2.2, 2.3, 2.4, 2.5, 2.6,2.7, 3.1, 3.2, 3.3, 3.4, 3.5, 4.1, 4.2, 4.3, 4.4, 4.5, 5.1, 5.2, 5.3, 5.4, 5.5, 6.3, 6.4, 6.5,6.6, 6.7

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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 recursiverelations.

Pupil’s Edition/Instructor’ s Annotated Edition:4, 9 (#37-40), 745-746, 755-756, 759-760, 768-769, 778-789, 802-812, 813-821,822-831, 832-841


Student Success Organizer:1-4, 189-190, 191-192, 193-194, 195-196, 197-198

Learning Tools CD-ROM:See material pertinent to the following chapter sections: P1, 10.1, 10.2, 10.3, 10.4,10.5, 11.1, 11.2, 11.3, 11.4

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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/Instructor’ s Annotated Edition:664-674, 675-686, 687-699, 700-710, 711-720, 722-725, 726, 732-746, 747-760,761-769, 770-777, 778-789, 791-795, 796


Student Success Organizer:161-163, 165-167, 169-172, 173-174, 175-176, 177-180, 181-184, 185-186, 187-188, 189-190

Learning Tools CD-ROM:See material pertinent to the following chapter sections: 9.1, 9.2, 9.3, 9.4, 9.5, 10.1,10.2, 10.3, 10.4, 10.5

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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/Instructor’s Annotated Edition:58-67, 71, 75 (#14), 664-674, 675-686, 687-699, 700-710, 711-720, 722-725, 726,732-746, 747-760, 761-769, 770-777, 778-789, 791-795, 796


Student Success Organizer:17-19, 161-163, 165-167, 169-172, 173-174, 175-176, 177-180, 181-184, 185-186,187-188, 189-190

Learning Tools CD-ROM:See material pertinent to the following chapter sections: P7, 9.1, 9.2, 9.3, 9.4, 9.5,10.1, 10.2, 10.3, 10.4, 10.5

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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 themost meaningful measure to describe the data.






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.



AncillariesTest Item File and Resource Guide:15-18, 26-27, 279-307, 309-335



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GRADE: 9-12


STANDARD 2: The student identifies patterns and makes predictions from an orderly display of data using concepts of probability and 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/Instructor’ s Annotated Edition:850-859, 860-872, 876-877, 878




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MA.E.2.4.2determines the probability for simple and compoundevents as well as independent and dependent events.

Pupil’s Edition/Instructor’s Annotated Edition:860-872, 876-877, 878


Student Success Organizer:203-204

Learning Tools CD-ROM:See material pertinent to the following chapter sections: 11.7

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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.



AncillariesTest Item File and Resource Guide:15-18, 26-27, 279-307, 309-335



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WHERE TAUGHT I/M*MA.E.3.4.2explains the limitations of using statistical techniques anddata in making inferences and valid arguments.






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CORRELATIONCURRICULUM FRAMEWORKS


COURSE TITLE: Analytic Geometry

COURSE NUMBER: 1206330


PUBLISHER: McDougal Littell

INTENDED OUTCOMES(Number and outcome)

PAGE(S) OR LOCATION(S)WHERE TAUGHT I/M*

1. Demonstrate the ability to determine distances withinthe Cartesian coordinate system.

MA.B.1.4.2 use concrete and graphic models to deriveformulas for finding rate, distance, time,angle measures, and arc lengths.

MA.B.2.4.1 select and use direct (measured) and indirect(not measured) methods of measurement asappropriate.

MA.C.2.4.2 analyze and apply geometric relationshipsinvolving planar cross-sections (theintersection of a plane and a three-dimensional figure).

MA.C.3.4.2 using a rectangular coordinate system(graph), apply and algebraically verifyproperties of two- and three-dimensionalfigures, including distance, midpoint, slope,parallelism, and perpendicularity.

MA.D.1.4.1 describe, analyze, and generalizerelationships, patterns, and functions usingwords, symbols, variables, tables, andgraphs.

MA.D.1.4.2 determine the impact when changingparameters of given functions.

The following page references relate specifically to the IntendedCourse Outcome. Exhaustive references for the supporting Standards,by Standard, are provided in the companion document, A Correlationof Algebra and Trigonometry to the Sunshine State Standards, which isincluded in the binder.

This standard is addressed throughout the text. Representative citations arelisted.

Pupil’s Edition/Instructor’s Annotated Edition:172-186, 187-200, 201-210, 211-218, 219-228, 229-236, 237-246, 248-251,252, 254, 260-270, 271-283, 284-292, 293-307, 308-319, 321-324, 325,332-340, 341-349, 350-357, 358-370, 371-378, 380-383, 384, 390-400,401-410, 411-416, 417-427, 428-440, 442-445, 446, 447-448, 454-464,465-475, 476-487, 488-498, 499-509, 510-519, 520-530, 532-535, 536

Ancillaries Test Item File and Resource Guide:69-115, 117-144, 145-168, 169-195, 197-234

Student Success Organizer:51-54, 55-57, 59-61, 63-66, 67-68, 69-70, 71-72, 73-74, 75-76, 77-78, 79-82, 83-85, 87-88, 89-90, 91-92, 93-95, 97-98, 99-100, 101-103, 105-106,107-108, 109-111, 113-116, 117-120, 121-122, 123-126, 127-129, 131-133,135-136

Learning Tools CD-ROM:See material pertinent to the following chapter sections: 2.1, 2.2, 2.3, 2.4,2.5, 2.6, 2.7, 3.1, 3.2, 3.3, 3.4, 3.5, 4.1, 4.2, 4.3, 4.4, 4.5, 5.1, 5.2, 5.3, 5.4,5.5, 6.1, 6.2, 6.3, 6.4, 6.5, 6.6, 6.7

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2. Demonstrate the ability to solve systems of equations.

MA.D.2.4.2 use systems of equations and inequalities tosolve real-world problems graphically,algebraically, and with matrices.


Pupil’ s Edition/Instructor’s Annotated Edition:664-674, 675-686, 687-699, 700-710, 711-720, 722-725, 726, 732-746,747-760, 761-769, 770-777, 778-789, 791-795, 796


Student Success Organizer:161-163, 165-167, 169-172, 173-174, 175-176, 177-180, 181-184, 185-186,187-188, 189-190

Learning Tools CD-ROM:See material pertinent to the following chapter sections: 9.1, 9.2, 9.3, 9.4,9.5, 9.6, 10.1, 10.2, 10.3, 10.4, 10.5

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3. Demonstrate an understanding of polynomial andrational functions, their parametric equations, and theirgraphs.

M.A.C.2.4.1 understand geometric concepts such asperpendicularity, parallelism, tangency,congruency, similarity, reflections,symmetry, and transformations includingflips, slides, turns, enlargements, rotations,and fractals.




Pupil’s Edition/Instructor’s Annotated Edition:260-270, 271-283, 284-292, 293-307, 308-319, 321-324, 325, 332-340,341-349, 350-357, 358-370, 371-378, 380-383, 384


Student Success Organizer:73-74, 75-76, 77-78, 79-82, 83-85, 87-88, 89-90, 91-92, 93-95, 97-98

Learning Tools CD-ROM:See material pertinent to the following chapter sections: 3.1, 3.2, 3.3, 3.4,3.5, 4.1, 4.2, 4.3, 4.4, 4.5

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4. Demonstrate an understanding of conic sections andother loci.

MA.C.2.4.1 understand geometric concepts such asperpendicularity, parallelism, tangency,congruency, similarity, reflections,symmetry, and transformations includingflips, slides, turns, enlargements, rotations,and fractals.

MA.C.2.4.2 analyze and apply geometric relationshipsinvolving planar cross-sections (theintersection of a plane and a three-dimensional figure).




Pupil’s Edition/Instructor’s Annotated Edition:332-340, 341-349, 350-357, 358-370, 371-378, 380-383, 384



Learning Tools CD-ROM:See material pertinent to the following chapter sections: 4.1, 4.2, 4.3, 4.4,4.5

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5. Demonstrate an understanding of the polar coordinatesystem and its relationship to the Cartesian coordinatesystem.


Opportunities to address this standard can be found on the followingpages:

Pupil’s Edition/Instructor’s Annotated Edition:358-370, 371-378, 380-383, 384, 642-643, 647 (#125-126),651-652 (#101-102, 121-122)


Student Success Organizer:93-95, 97-98, 159-160

Learning Tools CD-ROM:See material pertinent to the following chapter sections: 4.4, 4.5, 8.5

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6. Demonstrate the ability to solve problems using vectors.

MA.B.2.4.2 solve real-world problems involving ratedmeasures (miles per hour, feet per second).


Pupil’ s Edition/Instructor’s Annotated Edition:615-627, 628-636, 650-652, 653, 655 (#29-31)




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7. Demonstrate the ability to verify a conclusion byapplying the properties of analytic geometry.

M.A.C.1.4.1 use properties and relationships of geometricshapes to construct formal and informalproofs.

M.A.C.3.4.2 using a rectangular coordinate system(graph), apply and algebraically verifyproperties of two-and three-dimensionalfigures, including distance, midpoint, slope,parallelism, and perpendicularity.

M.A.D.1.4.1 describe, analyze, and generalizerelationships, patterns, and functions usingwords, symbols, variables, tables, andgraphs.


Pupil’ s Edition/Instructor’s Annotated Edition:332-340, 341-349, 350-357, 358-370, 371-378, 380-383, 384



Learning Tools CD-ROM:See material pertinent to the following chapter sections: 4.1, 4.2, 4.3, 4.4,4.5

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algebra and trigonometry - mcdougal littell - 2004 publisher’s questionnaire and correlations to...

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