prentice hall mathematics: course 3 © 2004 correlated to...

Prentice Hall Mathematics: Course 3 © 2004 Correlated to:

New Jersey Core Curriculum Content Standards for Mathematics

(Grade 8)

NEW JERSEY CORE CURRICULUM CONTENT STANDARDS FOR MATHEMATICS

PAGE(S) WHERE TAUGHT (If submission is not a book, cite appropriate location(s))

STANDARD 4.1 NUMBER AND NUMERICAL OPERATIONS - Building upon knowledge and skills gained in preceding grades, by the end of Grade 8, students will:

A. Number Sense

1. Extend understanding of the number system by constructing meanings for the following (unless otherwise noted, all indicators for grade 8 pertain to these sets of numbers as well): • Rational numbers • Percents • Exponents • Roots • Absolute values • Numbers represented in scientific

notation

SE/TE: 16-21, 22-27, 28-32, 39-43, 45-50, 51, 55, 56-57, 59, 60, 185-189, 190-195, 196-200, 201-204, 205-210, 211, 221-225, 238-239, 243-247, 258-263, 287-292, 293, 298, 303-308, 309-313, 314-319, 320-325, 326-330, 331-336, 337, 342-347, 348, 365-369, 370-374, 376-381, 383-387, 393-395, 396, 397, 402-403, 427, 714-725

ASSESSMENT in SE/TE: 21, 27, 38, 43, 50, 52-53, 54, 195, 200, 204, 210, 225, 263, 308, 313, 319, 330, 336, 347, 369, 375, 382, 387, 395, 398-399, 400, 401, 429, 433, 696, 697, 698

TE Only: 13, 15, 17-18, 21, 23, 24, 29-30, 32, 35, 41, 43, 47, 187, 192, 197-198, 202, 204, 222-223, 245, 247, 305, 310-311, 315-316, 333, 337, 343, 367, 369, 371, 377-378, 381, 384, 393, 395, 427

TR: Teaching Resources [(a) Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m) Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 1-2, 1-3,1-4, 1-5, 1-7, 1-8, 2-1, 4-3, 4-4, 4-5, 4-6, 4-8, 5-1, 5-4, 5-8, 5-9, 6-1, 6-2, 6-3, 6-4, 6-5, 6-6, 6-8, 7-1, 7-2, 7-3, 7-4, 7-5, 7-6

TECH: Technology Resources [Internet site, www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM), Interactive Math Lessons and Tools (CD-ROM), Technology Activities,

SE = Student Edition TE = Teacher’s Edition TR = Teaching Resources TECH = Technology 1

http://www.phschool.com/


New Jersey Core Curriculum Content Standards for Mathematics (Grade 8)

NEW JERSEY CORE CURRICULUM

CONTENT STANDARDS FOR MATHEMATICS PAGE(S) WHERE TAUGHT

(If submission is not a book, cite appropriate location(s))

(Continued) 1. Extend understanding of the number system

by constructing meanings for the following (unless otherwise noted, all indicators for grade 8 pertain to these sets of numbers as well): • Rational numbers • Percents • Exponents • Roots • Absolute values • Numbers represented in scientific

notation

(Continued) TECH: Instructional Video Package, “I-Text” (instant

self-check quizzes online and on CD-ROM)] which accompany textbook sections 1-2, 1-3,1-4, 1-5, 1-7, 1-8, 2-1, 4-3, 4-4, 4-5, 4-6, 4-8, 5-1, 5-4, 5-8, 5-9, 6-1, 6-2, 6-3, 6-4, 6-5, 6-6, 6-8, 7-1, 7-2, 7-3, 7-4, 7-5, 7-6

2. Demonstrate a sense of the relative magnitudes of numbers.

SE/TE: 4, 18-21, 33-34, 39-43, 90-95, 96, 97-102, 103-106, 183, 196-200, 221-225, 238-239, 243-247, 250-252, 259-263, 297, 303-308, 309-313, 326-330, 367-369, 386, 397, 715

ASSESSMENT in SE/TE: 10, 21, 27, 32, 43, 53, 54, 95, 102, 106, 200, 225, 235, 236, 237, 263, 270, 308, 325, 358, 387

TE Only: 18, 21, 197-198, 310-311, 313, 327, 328, 367

TR: Teaching Resources [(a) Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m) Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 1-3, 1-6, 1-7, 2-7, 2-8, 4-3, 4-8, 5-1, 5-4, 6-1, 6-2, 6-6, 7-1

TECH: Technology Resources [Internet site, www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM), Interactive Math Lessons and Tools (CD-ROM), Technology Activities, Instructional Video Package], Instructional Video Package, “I-Text” (instant self-check quizzes online and on CD-ROM)]








(Continued) 2. Demonstrate a sense of the relative

magnitudes of numbers.

(Continued) TECH: which accompany textbook sections 1-3, 1-6,

1-7, 2-7, 2-8, 4-3, 4-8, 5-1, 5-4, 6-1, 6-2, 6-6, 7-1

3. Understand and use ratios, proportions, and

percents (including percents greater than 100 and less than 1) in a variety of situations.

SE/TE: 243-247, 248-252, 258-263, 264, 265-270, 271-276, 277, 278-280, 282-286, 287-291, 292, 293, 303-308, 309-313, 314-319, 320-325, 326-330, 331-336, 337, 338-341, 342-348, 632-633, 638-641, 707

ASSESSMENT in SE/TE: 247, 252, 257, 263, 270, 277, 281, 286, 294, 295, 296, 297, 313, 319, 324-325, 330, 336, 348

TE Only: 244-245, 259, 266, 268, 304-305, 310-311, 313, 315-316, 325, 327-328, 333, 337, 339, 343-344, 639

TR: Teaching Resources [(a) Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m) Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 5-1, 5-2, 5-4, 5-5, 5-6, 5-7, 5-8, 5-9, 6-1, 6-2, 6-3, 6-4, 6-5, 6-6, 6-7, 6-8, 12-1

TECH: Technology Resources [Internet site, www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM), Interactive Math Lessons and Tools (CD-ROM), Technology Activities, Instructional Video Package, “I-Text” (instant self-check quizzes online and on CD-ROM)] which accompany textbook sections 5-1, 5-2, 5-4, 5-5, 5-6, 5-7, 5-8, 5-9, 6-1, 6-2, 6-3, 6-4, 6-5, 6-6, 6-7, 6-8, 12-1








4. Compare and order numbers of all named types.

SE/TE: 16-21, 23, 25-27, 31-32, 34, 183, 190-195, 196-200, 202-204, 221-225, 238-239, 303-308, 309-313, 365-369

ASSESSMENT in SE/TE: 21, 27, 43, 112-113, 200, 236, 238-239, 369

TE Only: 17-18, 21, 197-198 TR: Teaching Resources [(a) Practice, (b)

Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m) Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 1-3, 4-2, 5-4, 6-1, 6-2, 6-3, 6-4, 6-5, 6-6, 6-8, 7-1, 11-1, 11-2, 11-4, 11-5

TECH: Technology Resources [Internet site, www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM), Interactive Math Lessons and Tools (CD-ROM), Technology Activities, Instructional Video Package], Instructional Video Package, “I-Text” (instant self-check quizzes online and on CD-ROM)] which accompany textbook sections 1-3, 4-2, 5-4, 6-1, 6-2, 6-3, 6-4, 6-5, 6-6, 6-8, 7-1, 11-1, 11-2, 11-4, 11-5

5. Use whole numbers, fractions, decimals, and

percents to represent equivalent forms of the same number.

SE/TE: 190-195, 196-200, 233, 238-239, 243-247, 258-263, 303-308, 309-313, 314-319, 320-325, 326, 331-337, 338-341, 342-348, 349-355, 705, 707, 715

ASSESSMENT in SE/TE: 263, 308, 313, 319, 325, 330, 356, 358

TE Only: 191, 198, 310, 311, 313 TR: Teaching Resources [(a) Practice, (b)

Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies








(Continued) 5. Use whole numbers, fractions, decimals, and

percents to represent equivalent forms of the same number.

(Continued) TR: (j) Daily Skills and Lesson Quiz

Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m) Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 4-2, 4-3, 4-5, 5-1, 5-4, 6-1, 6-2, 6-3, 6-4, 6-5, 6-6, 6-9

TECH: Technology Resources [Internet site, www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM), Interactive Math Lessons and Tools (CD-ROM), Technology Activities, Instructional Video Package, “I-Text” (instant self-check quizzes online and on CD-ROM)] which accompany textbook sections 4-2, 4-3, 4-5, 5-1, 5-4, 6-1, 6-2, 6-3, 6-4, 6-5, 6-6, 6-9

6. Recognize that repeating decimals

correspond to fractions and determine their fractional equivalents.

5/7 = 0. 714285714285. = 0. 714285

SE/TE: 190-194, 233 ASSESSMENT in SE/TE: 195, 234, 236 TR: Teaching Resources [(a) Practice, (b)

Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m) Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook section 4-2

TECH: Technology Resources[Internet site, www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM), Interactive Math Lessons and Tools (CD-ROM), Technology Activities, Instructional Video Package,









(Continued) 6. Recognize that repeating decimals

correspond to fractions and determine their fractional equivalents. • 5/7 = 0. 714285714285. = 0. 714285

(Continued) TECH: “I-Text” (instant self-check quizzes online

and on CD-ROM)] which accompany textbook section 4-2

7. Construct meanings for common irrational numbers, such as (pi) and the square root of 2.

SE/TE: 221-225, 226-231, 447-452, 466-467 ASSESSMENT in SE/TE: 225, 227, 231, 235, 236,

237, 242, 281, 290, 452, 691, 705 TE Only: 223, 225, 227-228, 448 TR: Teaching Resources [(a) Practice, (b)

Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m) Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 4-4, 4-5, 8-8

TECH: Technology Resources [Internet site, www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM), Interactive Math Lessons and Tools (CD-ROM), Technology Activities, Instructional Video Package, “I-Text” (instant self-check quizzes online and on CD-ROM)] which accompany textbook sections 4-4, 4-5, 8-8

B. Numerical Operations

1. Use and explain procedures for performing calculations involving addition, subtraction, multiplication, division, and exponentiation with integers and all number types named above with: • Pencil-and-paper • Mental math • Calculator

SE/TE: 12-15, , 31, 39, 40, 44, 45-50, 48, 49, 50, 54, 56-57, 64, 65, 68, 82, 84, 85-89, 90, 99, 107, 112-113, 127, 134, 139, 142-146, 161, 180-181, 187, 191, 192, 193, 194, 197, 198, 201, 206, 208, 209, 211, 212, 216, 217-220, 222-224, 227, 232, 238-239, 245, 249, 250, 253, 254-257, 262, 264, 267, 270, 277, 279, 263, 282-286, 292, 294, 296, 298-299, 303, 306, 307, 309-313, 322, 327, 337, 338-340, 344, 348, 350,








(Continued) 1. Use and explain procedures for performing

calculations involving addition, subtraction, multiplication, division, and exponentiation with integers and all number types named above with: • Pencil-and-paper • Mental math • Calculator

(Continued) SE/TE: 355, 356, 358, 360-361, 370, 372, 374, 375,

382, 385, 388-391, 402-403, 426-429, 434, 444, 439, 450, 460, 466-467, 486, 502, 504, 507, 512-514, 516, 528-529, 571, 576-580, 586, 587, 597, 602, 616-620, 626, 636-637, 642, 668-671, 672, 675, 694-695

TR: Teaching Resources [(a) Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m) Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 1-2, 1-8, 2-5, 3-5, 4-7, 5-3, 6-2, 6-7, 7-5, 8-4, 9-8, 10-8, 11-6, 12-7

TECH: Technology Resources [Internet site, www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM), Interactive Math Lessons and Tools (CD-ROM), Technology Activities, Instructional Video Package, “I-Text” (instant self-check quizzes online and on CD-ROM)] which accompany textbook sections 1-2, 1-8, 2-5, 3-5, 4-7, 5-3, 6-2, 6-7, 7-5, 8-4, 9-8, 10-8, 11-6, 12-7

2. Use exponentiation to find whole number

powers of numbers. SE/TE: 39-43, 44, 363, 365-369, 370-374, 376-381,

383-387, 388-391, 393-395, 396, 397, 402-403, 427, 636

ASSESSMENT in SE/TE: 43, 52, 54, 364, 369, 375, 382, 387, 388, 391, 397, 398-399, 400, 401, 402-403, 429, 433, 538

TE Only: 40-41, 367, 369, 371, 373, 377, 384, 389 TR: Teaching Resources [(a) Practice, (b)









(Continued) 2. Use exponentiation to find whole number

powers of numbers.


Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m) Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 1-7, 7-1, 7-2, 7-3, 7-4, 7-5

TECH: Technology Resources [Internet site, www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM), Interactive Math Lessons and Tools (CD-ROM), Technology Activities, Instructional Video Package, “I-Text” (instant self-check quizzes online and on CD-ROM)] which accompany textbook sections 1-7, 7-1, 7-2, 7-3, 7-4, 7-5

3. Find square and cube roots of numbers and

understand the inverse nature of powers and roots.

SE/TE: 221-225, 226-231 ASSESSMENT in SE/TE: 225, 231, 235, 236, 237,

252 TE Only: 222, 223 TR: Teaching Resources [(a) Practice, (b)

Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m) Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 4-8, 4-9

TECH: Technology Resources [Internet site, www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM), Interactive Math Lessons and Tools (CD-ROM), Technology Activities, Instructional Video Package, “I-Text”









(Continued) 3. Find square and cube roots of numbers and

understand the inverse nature of powers and roots.

(Continued) TECH: (instant self-check quizzes online and on CD-

ROM)] which accompany textbook sections 4-8, 4-9

4. Solve problems involving proportions and

percents. SE/TE: 258-263, 264, 265-270, 271-276, 278-281,

282-286, 303-308, 309-313, 314-319, 320-325, 326-330, 331-336, 337, 338, 342-347, 563-567, 632-633, 706, 707

ASSESSMENT in SE/TE: 270, 276, 281, 286, 295, 296, 302, 308, 313, 319, 325, 330, 336, 341, 348, 387, 567

TE Only: 259, 310, 315-316, 333, 639 TR: Teaching Resources [(a) Practice, (b)

Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m) Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 5-4, 5-5, 5-6, 5-7, 5-8, 6-1, 6-2, 6-3, 6-4, 6-5, 6-6, 6-8, 10-6

TECH: Technology Resources [Internet site, www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM), Interactive Math Lessons and Tools (CD-ROM), Technology Activities, Instructional Video Package, “I-Text” (instant self-check quizzes online and on CD-ROM)] which accompany textbook sections 5-4, 5-5, 5-6, 5-7, 5-8, 6-1, 6-2, 6-3, 6-4, 6-5, 6-6, 6-8, 10-6








5. Understand and apply the standard algebraic order of operations, including appropriate use of parentheses.

SE/TE: 6-10, 30, 40-43, 44, 46-50, 73-77, 78-83, 103, 702

ASSESSMENT in SE/TE: 32, 43, 50, 52-53, 54, 66, 67, 122

TR: Teaching Resources [(a) Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m) Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 1-1, 1-5, 1-7, 1-8, 2-3, 2-4


C. Estimation

1. Estimate square and cube roots of numbers. SE/TE: 221-225, 226-231, 705 ASSESSMENT in SE/TE: 225, 231, 235, 236, 252 TE Only: 222, 225, 227 TR: Teaching Resources [(a) Practice, (b)

Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m) Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook








(Continued) 1. Estimate square and cube roots of numbers.

(Continued) TR: (r) Reading and Math Literacy Masters, (s)

Guided Problem Solving Masters] which accompany textbook sections 4-8, 4-9

TECH: Technology Resources [Internet site, www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM), Interactive Math Lessons and Tools (CD-ROM), Technology Activities, Instructional Video Package, “I-Text” (instant self-check quizzes online and on CD-ROM)] which accompany textbook sections 4-8, 4-9

2. Use equivalent representations of numbers

such as fractions, decimals, and percents to facilitate estimation.

SE/TE: 190-195, 196-200, 213-215, 233, 244-247, 303-308, 309-313, 314-319, 320-325, 326-330, 331-336, 342-347, 348, 350-355, 707, 716

ASSESSMENT in SE/TE: 195, 200, 234, 236, 251, 308, 313, 319, 325, 330, 347, 358

TE Only: 192, 195, 197-198, 310-311, 313 TR: Teaching Resources [(a) Practice, (b)

Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m) Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 4-2, 4-3, 5-1, 6-1, 6-2, 6-3, 6-4, 6-5, 6-6, 6-9

TECH: Technology Resources [Internet site, www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM), Interactive Math Lessons and Tools (CD-ROM), Technology Activities, Instructional Video Package, “I-Text” (instant self-check quizzes online and on CD-ROM)] which accompany textbook sections 4-2, 4-3, 5-1, 6-1, 6-2, 6-3, 6-4, 6-5, 6-6, 6-9









3. Recognize the limitations of estimation and assess the amount of error resulting from estimation.

SE/TE: 224 (# 17-20), 227-232, 250-252, 278-281, 282-286, 288-291, 292, 293, 297, 304, 309-313, 327-330, 333-336, 338, 350, 451, 466 (# 18), 486-487, 490, 496-499, 502-505, 507-510, 511, 516, 522, 528-529, 564-567, 691

ASSESSMENT in SE/TE: 281, 291, 295, 296, 330 TR: Teaching Resources [(a) Practice, (b)

Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m) Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 5-2, 5-7, 5-8, 5-9, 6-2

TECH: Technology Resources [Internet site, www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM), Interactive Math Lessons and Tools (CD-ROM), Technology Activities, Instructional Video Package], Instructional Video Package, “I-Text” (instant self-check quizzes online and on CD-ROM)] which accompany textbook sections 5-2, 5-7, 5-8, 5-9, 6-2

STANDARD 4. 2 GEOMETRY AND MEASUREMENT - Building upon knowledge and skills gained in preceding grades, by the end of Grade 8, students will: A. Geometric Properties

1. Understand and apply concepts involving lines, angles, and planes. • Complementary and supplementary

angles • Vertical angles • Bisectors and perpendicular bisectors • Parallel, perpendicular, and intersecting

planes • Intersection of plane with cube, cylinder,

cone, and sphere

SE/TE: 407-412, 413-418, 419, 435, 436-439, 454-459, 460, 466-467, 479 (# 12, 13), 481-484

ASSESSMENT in SE/TE: 412, 418, 439, 462-463, 464, 465, 499

TE Only: 408-409, 415, 437, 455-456 TR: Teaching Resources [(a) Practice, (b)









1. Understand and apply concepts involving lines, angles, and planes. • Complementary and supplementary

angles • Vertical angles • Bisectors and perpendicular bisectors • Parallel, perpendicular, and intersecting

planes • Intersection of plane with cube, cylinder,

cone, and sphere

TR: (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m) Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 8-1, 8-2, 8-6, 8-9

TECH: Technology Resources [Internet site, www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM), Interactive Math Lessons and Tools (CD-ROM), Technology Activities, Instructional Video Package, “I-Text” (instant self-check quizzes online and on CD-ROM)] which accompany textbook sections 8-1, 8-2, 8-6, 8-9

2. Understand and apply the Pythagorean

theorem. SE/TE: 226-231, 232, 290 (# 15-17), 466-467, 705 (#

38) ASSESSMENT in SE/TE: 230, 233, 235-236, 237,

242, 296, 466-467 TE Only: 227-228 TR: Teaching Resources [(a) Practice, (b)

Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m) Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook section 4-9

TECH: Technology Resources [Internet site, www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM), Interactive Math Lessons and Tools (CD-ROM), Technology Activities, Instructional Video Package, “I-Text”









(Continued) 2. Understand and apply the Pythagorean

theorem.


ROM)] which accompany textbook section 4-9

3. Understand and apply properties of

polygons. • Quadrilaterals, including squares,

rectangles, parallelograms, trapezoids, rhombi

• Regular polygons • Sum of measures of interior angles of a

polygon

SE/TE: 430-433, 435, 436-439 ASSESSMENT in SE/TE: 433, 434, 440, 446, 459,

462-465 TE Only: 431, 433, 435, 437, 439 TR: Teaching Resources [(a) Practice, (b)



• Which polygons can be used alone to

generate a tessellation and why

SE/TE: 440

4. Understand and apply the concept of similarity. • Using proportions to find missing

measures • Scale drawings

SE/TE: 258-263, 264, 265-270, 271-276, 277, 278-281, 282-286, 287-291, 293, 517-521


TE Only: 259, 266, 268, 279, 281, 283, 289, 293 TR: Teaching Resources[(a) Practice, (b)









(Continued) 4. Understand and apply the concept of

similarity. • Using proportions to find missing

measures • Scale drawings


Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m) Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 5-4, 5-5, 5-6, 5-7, 5-8, 5-9, 9-9

TECH: Technology Resources [Internet site, www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM), Interactive Math Lessons and Tools (CD-ROM), Technology Activities, Instructional Video Package, “I-Text” (instant self-check quizzes online and on CD-ROM)] which accompany textbook sections 5-4, 5-5, 5-6, 5-7, 5-8, 5-9, 9-9

• Models of 3D objects SE/TE: 471-475, 476-480, 481-485, 488-493, 494-

499, 506-510, 512-515, 517-520, 523, 528-529

ASSESSMENT in SE/TE: 475, 480, 485, 493, 521, 524, 525, 526, 527

TE Only: 472-473, 475, 477, 478, 480, 482, 485, 489 TR: Teaching Resources [(a) Practice, (b)

Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m) Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 9-1, 9-2, 9-3, 9-4, 9-7, 9-9

TECH: Technology Resources[Internet site, www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM), Interactive Math Lessons and Tools (CD-ROM),









(Continued) • Models of 3D objects

(Continued) TECH: Technology Activities, Instructional Video

Package, “I-Text” (instant self-check quizzes online and on CD-ROM)] which accompany textbook sections 9-1, 9-2, 9-3, 9-4, 9-7, 9-9

5. Use logic and reasoning to make and support

conjectures about geometric objects. SE/TE: 226-231, 232, 265-270, 271-276, 277, 280-

286, 287-291, 292, 408-412, 413-418, 420-421, 424, 430-434, 435, 436-439, 440, 442, 444-446, 448-451, 461, 466-467, 472-475, 477-480, 481-485, 489-493, 498-499, 501, 504-505, 508-509, 511, 512-514, 516, 517-520, 528-529, 586-587, 709

ASSESSMENT in SE/TE: 231, 237, 242, 269, 276, 286, 291, 295, 296, 412, 418, 434, 451, 475, 480, 485, 505, 514, 520

TE Only: 227-228, 267, 273, 283, 292, 448-449, 472-473, 495-496

TR: Teaching Resources [(a) Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m) Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 4-9, 5-5, 5-6, 5-8, 5-9, 8-1, 8-2, 8-3, 8-4, 8-5, 8-6, 8-7, 8-8, 8-9, 9-3, 9-4, 9-5, 9-6, 9-7, 9-8, 9-9

TECH: Technology Resources [Internet site, www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM), Interactive Math Lessons and Tools (CD-ROM), Technology Activities, Instructional Video Package, “I-Text” (instant self-check quizzes online and on CD-ROM)] which accompany textbook sections 4-9, 5-5, 5-6, 5-8, 5-9, 8-1, 8-2, 8-3, 8-4, 8-5, 8-6, 8-7, 8-8, 8-9, 9-3, 9-4, 9-5, 9-6, 9-7, 9-8, 9-9








B. Transforming Shapes

1. Understand and apply transformations. • Finding the image, given the pre-image,

and vice-versa • Sequence of transformations needed to

map one figure onto another • Reflections, rotations, and translations

result in images congruent to the pre-image

• Dilations (stretching/shrinking) result in images similar to the pre-image

SE/TE: 157-162, 163-168, 169-174, 271-276, 277 ASSESSMENT in SE/TE: 162, 168, 174, 177, 178,

225, 237, 277, 291, 295, 296, 330 TE Only: 158, 159, 164, 165, 171, 273, 276 TR: Teaching Resources [(a) Practice, (b)

Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m) Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 3-8, 3-9, 3-10, 5-6


2. Use iterative procedures to generate

geometric patterns. • Fractals (e.g., the Koch Snowflake) • Self-similarity • Construction of initial stages • Patterns in successive stages (e.g.,

number of triangles in each stage of Sierpinski.s Triangle)

SE/TE: 14, 125 (# 32), 144 (# 7), 219, 256, 426-429, 435, 436-439, 492, 637-641, 642

ASSESSMENT in SE/TE: 429, 439, 641 TE Only: 641 TR: Teaching Resources [(a) Practice, (b)

Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m) Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook








(Continued) 2. Use iterative procedures to generate

geometric patterns. • Fractals (e.g., the Koch Snowflake) • Self-similarity • Construction of initial stages • Patterns in successive stages (e.g.,

number of triangles in each stage of Sierpinski.s Triangle)

(Continued) TR: (r) Reading and Math Literacy Masters, (s)

Guided Problem Solving Masters] which accompany textbook sections 8-4, 8-6, 12-1


C. Coordinate Geometry

1. Use coordinates in four quadrants to represent geometric concepts.

SE/TE: 117-121, 132, 157-162, 163-168, 169-174, 271-276, 277

ASSESSMENT in SE/TE: 121, 162, 168, 174, 177, 178, 225, 237, 277, 291, 295, 296, 330

TE Only: 119, 159, 165, 171 TR: Teaching Resources [(a) Practice, (b)

Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m) Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook section 3-1, 3-8, 3-9, 3-10

TECH: Technology Resources [Internet site, www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM), Interactive Math Lessons and Tools (CD-ROM), Technology Activities, Instructional Video Package, “I-Text” (instant self-check quizzes online and on CD-ROM)] which accompany textbook section 3-1, 3-8, 3-9, 3-10









2. Use a coordinate grid to model and quantify transformations (e.g., translate right 4 units).

SE/TE: 157-162, 163-168, 169-174, 271-276, 277 ASSESSMENT in SE/TE: 162, 168, 174, 177, 178,

225, 237, 277, 291, 295, 296, 330 TE Only: 159, 164, 165, 171, 273, 274 TR: Teaching Resources [(a) Practice, (b)

Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m) Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 3-8, 3-9, 3-10, 5-6


D. Units of Measurement

1. Solve problems requiring calculations that involve different units of measurement within a measurement system (e.g., 4 ft.3 in. plus 7ft.10 in. equals 12ft.1in.).

SE/TE: 252 (# 34, 35), 328 (# 8, 9), 330 (#32), 513

2. Use approximate equivalents between standard and metric systems to estimate measurements (e.g., 5 kilometers is about 3 miles).

SE/TE: 224 (# 17-20), 248-252, 278-281, 282-286, 511, 516, 528-529

TR: Teaching Resources [(a) Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies,








(Continued) 2. Use approximate equivalents between

standard and metric systems to estimate measurements (e.g., 5 kilometers is about 3 miles).

(Continued) TR: (m) Test Prep Workbook, (n) Skills and

Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 5-2, 5-7, 5-8

TECH: Technology Resources [Internet site, www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM), Interactive Math Lessons and Tools (CD-ROM), Technology Activities, Instructional Video Package] which accompany textbook sections 5-2, 5-7, 5-8

3. Recognize that the degree of precision

needed in calculations depends on how the results will be used and the instruments used to generate the measurements.

SE/TE: 248-252, 486-487, 509-510, 512-515, 522, 528-529

ASSESSMENT in SE/TE: 257, 463 TE Only: 487, 510 TR: Teaching Resources [(a) Practice, (b)


TECH: Technology Resources [Internet site, www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM), Interactive Math Lessons and Tools (CD-ROM), Technology Activities, Instructional Video Package, “I-Text” (instant self-check quizzes online and on CD-ROM)] which accompany textbook section 5-2, 9-3, 9-8









4. Select and use appropriate units and tools to measure quantities to the degree of precision needed in a particular problem-solving situation.

SE/TE: 248-252, 287-292, 402-403, 406, 410, 413-416, 435, 436-439, 454-459, 465, 466-467, 469, 486-487, 528-529, 564-567, 583, 586-587, 726

ASSESSMENT in SE/TE: 238-239, 402-403, 405, 463, 464, 499, 528-529, 531, 586-587

TR: Teaching Resources [(a) Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m) Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 5-2, 8-1, 8-9, 10-6


5. Recognize that all measurements of

continuous quantities are approximations SE/TE: 250-252, 282-286, 287-291, 292, 293, 297,

298-299, 421, 486-487, 522, 586-587 ASSESSMENT in SE/TE: 252, 286, 291, 295, 381 TR: Teaching Resources [(a) Practice, (b)

Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies(j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m) Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters,








(Continued) 5. Recognize that all measurements of

continuous quantities are approximations.

(Continued) TR: (s) Guided Problem Solving Masters] which

accompany textbook sections 5-2, 5-8, 5-9 TECH: Technology Resources [Internet site,

www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM), Interactive Math Lessons and Tools (CD-ROM), Technology Activities, Instructional Video Package] which accompany textbook sections 5-2, 5-8, 5-9

6. Solve problems that involve compound

measurement units, such as speed (miles per hour), air pressure (pounds per square inch), and population density (persons per square mile).

SE/TE: 244-247, 249-252, 260, 278-281 ASSESSMENT in SE/TE: 247, 252, 270, 277, 281,

296, 299 TE Only: 245 TR: Teaching Resources [(a) Practice, (b)











E. Measuring Geometric Objects

1. Develop and apply strategies for finding perimeter and area. • Geometric figures made by combining

triangles, rectangles and circles or parts of circles

• Estimation of area using grids of various sizes

• Impact of a dilation on the perimeter and area of a 2-dimensional figure

SE/TE: 441-446 (p. 445 (#10)), 447-452 (p. 450 (#13-18, 23), p. 451 (# 31-36), p. 452 (# 39, 41), 488-493, (P. 492 (# 20), p. 504 (# 23))

ASSESSMENT in SE/TE: 446, 452, 462-463, 464, 470, 480, 515

TE Only: 442-443 TR: Teaching Resources [(a) Practice, (b)



2. Recognize that the volume of a pyramid or

cone is one-third of the volume of the prism or cylinder with the same base and height (e.g., use rice to compare volumes of figures with same base and height).

SE/TE: 500-505, 506-510, 511, 512-515, 516, 517-521, 523, 586-587, 710

ASSESSMENT in SE/TE: 505, 510, 525, 526 TE Only: 502, 507 TR: Teaching Resources[(a) Practice, (b)

Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m) Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities,








(Continued) 2. Recognize that the volume of a pyramid or

cone is one-third of the volume of the prism or cylinder with the same base and height (e.g., use rice to compare volumes of figures with same base and height).

(Continued) TR: (p) Assessment Resources (q) Multilingual

Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 9-6, 9-7, 9-8, 9-9


3. Develop and apply strategies and formulas

for finding the surface area and volume of a three-dimensional figure. • Volume - prism, cone, pyramid • Surface area - prism (triangular or

rectangular base), pyramid (triangular or rectangular base)

• Impact of a dilation on the surface area and volume of a three-dimensional figure

SE/TE: 161-162, 481-485, 488-493, 494-499, 500-505, 506-510, 511, 512-516, 517-521, 523, 710

ASSESSMENT in SE/TE: 525, 526, 527, 528-529, 619, 676

TE Only: 496, 502, 507 TR: Teaching Resources [(a) Practice, (b)

Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m) Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 3-8, 9-4, 9-5, 9-6, 9-7, 9-8, 9-9










4. Use formulas to find the volume and surface area of a sphere.

SE/TE: 511

Standards 4. 3 Patterns and Algebra - Building upon knowledge and skills gained in preceding grades, by the end of Grade 8, students will:

A. Patterns

1. Recognize, describe, extend, and create patterns involving whole numbers, rational numbers, and integers. • Descriptions using tables, verbal and

symbolic rules, graphs, simple equations or expressions

• Finite and infinite sequences • Arithmetic sequences (i.e., sequences

generated by repeated addition of a fixed number, positive or negative)

• Geometric sequences (i.e., sequences generated by repeated multiplication by a fixed positive ratio, greater than 1 or less than 1)

• Generating sequences by using calculators to repeatedly apply a formula

SE/TE: 14, 99, 122-127, 128-133, 134-135, 136-141, 143-145, 147-151, 152-156, 175, 193, 219, 256, 365-369, 370-374, 375, 390, 392-395, 396, 397, 407, 426-429, 435, 435, 436-439, 439, 458, 492, 557-562, 575, 578, 580, 583, 637-641, 642, 643-647, 648-652, 653-657, 659-662, 663-667, 668-671, 672, 704,711, 713

ASSESSMENT in SE/TE: 127, 132, 156, 395, 399, 562, 568, 599, 647, 657, 662, 686, 689, 690

TE Only: 638-639 TR: Teaching Resources [(a) Practice, (b)

Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m) Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 3-2, 3-3, 3-4, 3-5, 7-1, 7-2, 7-6, 8-4, 8-6, 10-5, 12-1, 12-2, 12-3, 12-4, 12-5, 12-6, 12-9

TECH: Technology Resources [Internet site, www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM), Interactive Math Lessons and Tools (CD-ROM), Technology Activities, Instructional Video Package, “I-Text” (instant self-check quizzes online and on CD-ROM)] which accompany textbook sections 3-2, 3-3, 3-4, 3-5, 7-1, 7-2, 8-4, 8-6, 10-5, 12-1, 12-2, 12-3, 12-4, 12-5, 12-6, 12-9








B. Functions and Relationships

1. Graph functions, and understands and describes their general behavior. • Equations involving two variables • Rates of change (informal notion of

slope)

SE/TE: 643-647, 648-652, 653-657, 661, 663-667, 668-671, 672, 694-695

ASSESSMENT in SE/TE: 647, 652, 657, 667, 671, 689, 690, 694-695

TE Only: 649, 650, 651, 654, 662, 664-665 TR: Teaching Resources [(a) Practice, (b)

Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m) Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 12-1, 12-2, 12-3, 12-4, 12-6, 12-7


2. Recognize and describe the difference

between linear and exponential growth, using tables, graphs, and equations.

SE/TE: 648-652, 653-657, 666 (#34-38), 668-671, 672, 694-695, 713

ASSESSMENT in SE/TE: 652, 657, 667, 671, 689, 690, 694-695

TE Only: 649, 650, 654, 657, 665 TR: Teaching Resources [(a) Practice, (b)

Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m) Test Prep Workbook








(Continued) 2. Recognize and describe the difference

between linear and exponential growth, using tables, graphs, and equations.

(Continued) TR: (n) Skills and Concept Review, (o) Hands-on

Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 12-3, 12-4, 12-7


C. Modeling

1. Analyze functional relationships to explain how a change in one quantity can result in a change in another, using pictures, graphs, charts, and equations.

SE/TE: 127, 128-132, 133, 134-135, 136-141, 142-145, 152-156, 175, 180-181, 636, 642, 648-652, 653-657, 658-662, 663-667, 704, 713

ASSESSMENT in SE/TE: 126, 132, 141, 145, 155-156, 162, 177-178, 652, 657, 690

TE Only: 130, 137-138, 649, 657 TR: Teaching Resources [(a) Practice, (b)

Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m) Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 3-2, 3-3, 3-4, 3-5, 3-6, 12-3, 12-4, 12-5, 12-6

TECH: Technology Resources[Internet site, www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM), Interactive Math Lessons and Tools (CD-ROM), Technology Activities, Instructional Video Package, “I-Text”









(Continued) 1. Analyze functional relationships to explain

how a change in one quantity can result in a change in another, using pictures, graphs, charts, and equations.


ROM)] which accompany textbook sections 3-2, 3-3, 3-4, 3-5, 3-6, 12-3, 12-4, 12-5, 12-6

2. Use patterns, relations, symbolic algebra, and linear functions to model situations. • Using concrete materials

(manipulatives), tables, graphs, verbal rules, algebraic expressions/equations/inequalities

SE/TE: 633, 636, 637-641, 642, 643-647, 648-652, 653-657, 659-662, 663-667, 668-671, 672, 673-677, 678-682, 683-686, 694-695, 713

ASSESSMENT in SE/TE: 647, 652, 657, 662, 667, 678, 682, 686, 689, 690

TE Only: 639, 641, 644, 675, 677, 684 TR: Teaching Resources [(a) Practice, (b)

Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m) Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 12-1, 12-2, 12-3, 12-4, 12-5, 12-6, 12-7, 12-8, 12-9, 12-10


• Growth situations, such as population growth

and compound interest, using recursive (e.g., NOW-NEXT) formulas (cf. science standard 5.5 and social studies standard 6.6)

SE/TE: 342-347, 348, 666 (#34-38), 668-671 ASSESSMENT in SE/TE: 357, 358, 359, 446, 521,

667 TE Only: 343-344 TR: Teaching Resources [(a) Practice, (b)

Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests,








(Continued) • Growth situations, such as population growth

and compound interest, using recursive (e.g., NOW-NEXT) formulas (cf. science standard 5.5 and social studies standard 6.6)

(Continued) TR: (h) Cumulative Assessment, (i) Classroom Aid

Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m) Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 6-8, 12-7


D. Procedures

1. Use graphing techniques on a number line. • Absolute value • Arithmetic operations represented by

vectors (arrows) (e.g., -3 + 6. is .left 3, right 6.)

SE/TE: 16-21, 22-27, 28-32, 57, 90-95, 96, 97-102, 103-106,

ASSESSMENT in SE/TE: 21, 27, 32, 102, 106, 111 TR: Teaching Resources [(a)Practice, (b)

Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m)Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 1-3, 1-4, 1-5, 2-6, 2-7, 2-8

TECH: Technology Resources [Internet site, www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM),









(Continued) 1. Use graphing techniques on a number line.

• Absolute value • Arithmetic operations represented by

vectors (arrows) (e.g., -3 + 6. is .left 3, right 6.)

(Continued) TECH: Interactive Math Lessons and Tools (CD-

ROM), Technology Activities, Instructional Video Package, “I-Text” (instant self-check quizzes online and on CD-ROM)] which accompany textbook sections 1-3, 1-4, 1-5, 2-6, 2-7, 2-8

2. Solve simple linear equations informally,

graphically, and using formal algebraic methods. • Multi-step, integer coefficients only

(although answers may not be integers) • Using paper-and-pencil, calculators,

graphing calculators, spreadsheets, and other technology

SE/TE: 61-66, 68, 69-72,78-83, 84, 85-88, 116, 123-126, 212-215, 216, 254-257, 320-325, 338-341, 642, 643-647, 648-652, 653-657

ASSESSMENT in SE/TE: 66, 72, 83, 108-109, 110, 195, 200, 257, 325, 341, 356, 657

TE Only: 62-63, 70, 79-80, 213, 255 TR: Teaching Resources [(a)Practice, (b)

Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m)Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 2-1, 2-2, 2-4, 2-5, 3-6, 5-3, 6-7









3. Solve simple linear inequalities SE/TE: 90-95, 96, 97-102, 103-106, 112-113, 151 ASSESSMENT in SE/TE: 95, 102, 106, 109, 110, 111 TE Only: 91-92, 96, 100 TR: Teaching Resources [(a)Practice, (b)

Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies,

(Continued)

3. Solve simple linear inequalities. (Continued)

TR: (j) Daily Skills and Lesson Quiz Transparencies (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m)Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 2-6, 2-7, 2-8









4. Create, evaluate, and simplify algebraic expressions involving variables. • Order of operations, including

appropriate use of parentheses • Distributive property • Substitution of a number for a variable

SE/TE: 5-10, 47-50, 73-77, 79-83, 212-215, 216, 217-220, 298-299, 344-347, 348, 673-677, 678-682, 683-686, 702, 703


TE Only: 6, 7, 74-75, 213, 216, 674, 675, 680, 684 TR: Teaching Resources Teaching Resources

[(a)Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m)Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 1-1, 1-8, 2-3, 2-4, 4-6, 12-8, 12-9, 12-10

TECH: Technology Resources [Internet site, www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM), Interactive Math Lessons and Tools (CD-ROM),

(Continued)

4. Create, evaluate, and simplify algebraic expressions involving variables. • Order of operations, including

appropriate use of parentheses • Distributive property • Substitution of a number for a variable

(Continued) TECH: Technology Activities, Instructional Video

Package, “I-Text” (instant self-check quizzes online and on CD-ROM)] which accompany textbook sections 1-1, 1-8, 2-3, 2-4, 4-6, 12-8, 12-9, 12-10








• Translation of a verbal phrase or sentence into an algebraic expression, equation, or inequality, and vice versa

SE/TE: 73-77, 78-83, 84, 85-88, 89, 112-113, 122-126, 127, 128-133, 134-135, 136-141, 142-145, 146, 180-181, 320-323

ASSESSMENT in SE/TE: 77, 83, 110, 111, 113-114, 126, 180-181

TE Only:74-75, 77, 89, 124, 146 TR: Teaching Resources [(a)Practice, (b)

Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m)Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 3-2, 3-3, 3-4, 3-5, 6-5 Masters] which accompany textbook sections

TECH: Technology Resources [Internet site, www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM), Interactive Math Lessons and Tools (CD-ROM), Technology Activities, Instructional Video Package, “I-Text” (instant self-check quizzes online and on CD-ROM)] which accompany textbook sections 2, 3-3, 3-4, 3-5, 6-5








5. Understand and apply the properties of operations, numbers, equations, and inequalities. • Additive inverse • Multiplicative inverse • Addition and multiplication properties of

equality • Addition and multiplication properties of

inequalities

SE/TE: 45-50, 61-66, 68, 75-76, 79-83, 91-95, 97-102, 104-106, 107, 112-113, 370-374, 674, 675, 676


TE Only: 46, 48, 79-80 TR: Teaching Resources [(a)Practice, (b)

Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m)Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 1-8, 2-1, 2-3, 2-4, 2-8

TECH: Technology Resources [Internet site, www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM), Interactive Math Lessons and Tools (CD-ROM), Technology Activities, Instructional Video Package, “I-Text” (instant self-check quizzes online and on CD-ROM)] which accompany textbook sections 1-8, 2-1, 2-3, 2-4, 2-8 8








STANDARD 4.4 DATA ANALYSIS, PROBABILITY, AND DISCRETE MATHEMATICS - Building upon knowledge and skills gained in preceding grades, by the end of Grade 8, students will:

A. Data Analysis

1. Select and use appropriate representations

for sets of data, and measures of central tendency (mean, median, and mode). • Type of display most appropriate for

given data • Box-and-whisker plot, upper quartile,

lower quartile • Scatter plot • Calculators and computer used to record

and process information • Finding the median and mean (weighted

average) using frequency data. • Effect of additional data on measures of

central tendency

SE/TE: 33-38, 534-539, 546-550, 540-544, 552-556, 557-562, 569-574, 711

ASSESSMENT in SE/TE: 52-54, 562, 568, 571, 574, 582-585, 604

TE Only:35, 534-535, 547, 553 TR: Teaching Resources [(a)Practice, (b)










2. Make inferences and formulate and evaluate arguments based on displays and analysis of data.

SE/TE: 3, 18-20, 33-38, 59, 115, 183, 241, 301, 363, 405, 469, 531, 513, 533-539, 540-545, 546-551, 553-556, 557-562, 563-568, 569-574, 575, 581, 579-581, 586-587, 588, 589, 591-594, 596, 600-603, 606-610, 611-615, 616-620

ASSESSMENT in SE/TE: 539, 544, 545, 551, 556, 562, 568, 574, 575, 582-585

TE Only: 534, 536, 541, 543, 547, 548, 554-555, 564, 566

TR: Teaching Resources [(a)Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests,

(Continued)

2. Make inferences and formulate and evaluate arguments based on displays and analysis of data.

(Continued) TR: (h) Cumulative Assessment, (i) Classroom Aid

Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m)Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 1-6, 10-1, 10-2, 10-3, 10-4, 10-5, 10-6, 11-2, 11-3, 11-4, 11-5, 11-6, 11-7









3. Estimate lines of best fit and use them to interpolate within the range of the data.

SE/TE: 557-562, 575, 580 ASSESSMENT in SE/TE: 562, 568, 585, 599, 641 TE Only:559 TR: Teaching Resources [(a)Practice, (b)

Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m)Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook section 10-5

TECH: Technology Resources[Internet site, www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM),

(Continued) 3. Estimate lines of best fit and use them to

interpolate within the range of the data.


ROM), Technology Activities, Instructional Video Package, “I-Text” (instant self-check quizzes online and on CD-ROM)] which accompany textbook section 10-5








4. Use surveys and sampling techniques to generate data and draw conclusions about large groups.

SE/TE: 349-354, 606-610, 611-615, 616-620, 621-625, 627


TE Only: 622-623 TR: Teaching Resources [(a)Practice, (b)


TECH: Technology Resources [Internet site, www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM), Interactive Math Lessons and Tools (CD-ROM), Technology Activities, Instructional Video Package, “I-Text” (instant self-check quizzes online and on CD-ROM)] which accompany textbook section 11-7

B. Probability

1. Interpret probabilities as ratios, percents, and decimals.

SE/TE: 607-610, 611-615, 616-617, 620, 632-633 ASSESSMENT in SE/TE: 614, 625, 627, 629, 639 TE Only:612 TR: Teaching Resources [(a)Practice, (b)

Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests,








(Continued) 1. Interpret probabilities as ratios, percents, and

decimals.

(Continued) TR: (h) Cumulative Assessment, (i) Classroom

Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m)Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 11-5, 11-6


2. Determine probabilities of compound events. SE/TE: 611-615

ASSESSMENT in SE/TE: 615, 625, 629, 630 TE Only: 612, 614 TR: Teaching Resources [(a)Practice, (b)


TECH: Technology Resources [Internet site, www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM), Interactive Math Lessons and Tools (CD-ROM), Technology Activities,









(Continued) 2. Determine probabilities of compound events.

(Continued) TECH: Instructional Video Package, “I-Text” (instant

self-check quizzes online and on CD-ROM)] which accompany textbook section 11-5

3. Explore the probabilities of conditional

events (e.g., if there are seven marbles in a bag, three red and four green, what is the probability that two marbles picked from the bag, without replacement, are both red).

SE/TE: 349-354, 605, 606-610, 611-615, 616-620, 621-625


TE Only:610, 612, 615 TR: Teaching Resources [(a)Practice, (b)

Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m)Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 6-9, 11-4, 11-5 , 11-6, 11-7

TECH: Technology Resources [Internet site, www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM), Interactive Math Lessons and Tools (CD-ROM), Technology Activities, Instructional Video Package, “I-Text” (instant self-check quizzes online and on CD-ROM)] which accompany textbook sections 6-9, 11-4, 11-5 , 11-6, 11-7

4. Model situations involving probability with

simulations (using spinners, dice, calculators and computers) and theoretical models. • Frequency, relative frequency

SE/TE: 349-354, 606-610, 611-615, 616-620, 621-625 ASSESSMENT in SE/TE: 354, 357, 358, 391, 610,

615, 620, 625, 628, 629, 630, 641 TR: Teaching Resources [(a)Practice, (b)

Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies,








(Continued) 4. Model situations involving probability with

simulations (using spinners, dice, calculators and computers) and theoretical models. • Frequency, relative frequency

(Continued) TR: (l) Student Edition Answers on

Transparencies, (m)Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 6-9, 11-4, 11-5 , 11-6, 11-7

TECH: Technology Resources [Internet site, www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM), Interactive Math Lessons and Tools (CD-ROM), Technology Activities, Instructional Video Package, “I-Text” (instant self-check quizzes online and on CD-ROM)] which accompany textbook sections 6-9, 11-4, 11-5 , 11-6, 11-7

5. Estimate probabilities and make predictions

based on experimental and theoretical probabilities.

SE/TE: 349-354, 606-610, 611-615 ASSESSMENT in SE/TE: 354, 357, 358, 391, 610,

615 TR: Teaching Resources [(a)Practice, (b)

Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m)Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 6-9, 11-4, 11-5










6. Play and analyze probability-based games, and discuss the concepts of fairness and expected value.

SE/TE: 606-610, 611-615, 616-617, 620, 621-627, 629-630, 632-633

ASSESSMENT in SE/TE: 610, 615, 619, 629, 630, 632-633

TR: Teaching Resources [(a)Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m)Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 11-4, 11-5, 11-7


C. Discrete Mathematics. Systematic Listing and Counting

1. Apply the multiplication principle of counting. • Permutations: ordered situations with

replacement (e.g., number of possible license plates) vs. ordered situations without replacement (e.g., number of possible slates of 3 class officers from a 23 student class)

• Factorial notation • Concept of combinations (e.g., number

of possible delegations of 3 out of 23 students)

SE/TE: 591-593, 595-599, 600-603, 605, 712 ASSESSMENT in SE/TE: 594, 599, 604, 610, 627,

628, 630, 631 TE Only: 292, 597, 599, 601 TR: Teaching Resources [(a)Practice, (b)

Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m)Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities,








(Continued) 1. Apply the multiplication principle of

counting. • Permutations: ordered situations with

replacement (e.g., number of possible license plates) vs. ordered situations without replacement (e.g., number of possible slates of 3 class officers from a 23 student class)

• Factorial notation • Concept of combinations (e.g., number

of possible delegations of 3 out of 23 students)

(Continued) TR: (p) Assessment Resources (q) Multilingual

Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 11-1, 11-2, 11-3


2. Explore counting problems involving Venn

diagrams with three attributes (e.g., there are 15, 20, and 25 students respectively in the chess club, the debating team, and the engineering society; how many different students belong to the three clubs if there are 6 students in chess and debating, 7 students in chess and engineering, 8 students in debating and engineering, and 2 students in all three?).

SE/TE: 211, 223, 431, 433 (#26), 431, 434, 576-579, 594 (#20)

3. Apply techniques of systematic listing, counting, and reasoning in a variety of different contexts.

SE/TE: 591-593, 595-599, 600-603, 605, 616-619, 620, 621-625, 712

ASSESSMENT in SE/TE: 594, 599, 604, 610, 627, 628, 630, 631

TE Only:627, 620 TR: Teaching Resources[(a)Practice, (b)

Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m)Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 11-1, 11-2, 11-3, 11-6, 11-7








3. Apply techniques of systematic listing, counting, and reasoning in a variety of different contexts.

TECH: Technology Resources [Internet site, www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM), Interactive Math Lessons and Tools (CD-ROM), Technology Activities, Instructional Video Package, “I-Text” (instant self-check quizzes online and on CD-ROM)] which accompany textbook sections 11-1, 11-2, 11-3, 11-6, 11-7

D. Discrete Mathematics. Vertex-Edge Graphs and Algorithms

1. Use vertex-edge graphs and algorithmic thinking to represent and find solutions to practical problems. • Finding the shortest network connecting

specified sites • Finding a minimal route that includes

every street (e.g., for trash pick-up) • Finding the shortest route on a map from

one site to another • Finding the shortest circuit on a map that

makes a tour of specified sites • Limitations of computers (e.g., the

number of routes for a delivery truck visiting n sites is n!, so finding the shortest circuit by examining all circuits would overwhelm the capacity of any computer, now or in the future, even if n is less than 100)

SE/TE: 145 (#12), 390 (# 7), 514 (#4)

STANDARD 4.5 MATHEMATICAL PROCESSES Cumulative Progress Indicators At each grade level, with respect to content appropriate for that grade level, students will:

A. Problem Solving

1. Learn mathematics through problem solving, inquiry, and discovery.

SE/TE: 12-15, 18, 32, 39, 41, 44, 55, 56-57, 64, 67, 68, 70, 73, 78, 85-88, 89, 92, 95, 112-113, 117, 122, 127, 133, 136, 139, 142-145, 146, 151, 152-153, 163, 169, 175, 179, 180-181, 193, 202, 215, 216, 217-220, 222, 226-227, 233, 238-239, 247, 254-257, 258, 261, 271, 277, 278-279, 282-286, 293, 298-299, 310, 322, 326-330, 332-336, 337, 338-341, 360-361, 365, 369, 375, 385, 382, 385,








(Continued) 1. Learn mathematics through problem solving,

inquiry, and discovery.

(Continued) SE/TE: 388-391, 392, 396, 397, 402-403, 413, 418,

419, 426-429, 435, 440, 453, 454-457, 466-467, 512-515, 518, 523, 527, 528-529, 557-562, 571, 576-579, 606, 611, 616-619, 627, 642, 647

TR: Teaching Resources [(a)Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m)Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 1-2, 2-5, 3-5, 4-7, 5-3, 5-8, 6-5, 6-6, 6-7, 7-5, 8-4, 9-8, 10-8, 11-6, 12-7

TECH: Technology Resources [Internet site, www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM), Interactive Math Lessons and Tools (CD-ROM), Technology Activities, Instructional Video Package, “I-Text” (instant self-check quizzes online and on CD-ROM)] which accompany textbook sections 1-2, 2-5, 3-5, 4-7, 5-3, 5-8, 6-5, 6-6, 6-7, 7-5, 8-4, 9-8, 10-8, 11-6, 12-7

2. Solve problems that arise in mathematics and

in other contexts (cf. workplace readiness standard 8.3). • Open-ended problems • Non-routine problems • Problems with multiple solutions • Problems that can be solved in several

ways

SE/TE: 12-15, 30, 56, 57, 64, 85-88, 112-113, 127, 134, 139, 142-145, 152-156, 175, 180-181, 208, 217-220, 238-239, 254-257, 267, 298-299, 322, 338-341, 342-347, 348, 358, 360-361, 385, 388-391, 402-403, 426-429, 444, 466-467, 502, 512-515, 528-529, 571, 576-579, 586-587, 602, 616-619, 636-637, 663-666, 668-671, 672, 675, 694-695

SE/TE: ASSESSMENT in SE/TE: 56-57, 112-113, 180-181, 238-239, 298-299, 360-361, 402-403, 466-467, 528-529, 586-587, 632-633, 694-695








(Continued) 2. Solve problems that arise in mathematics and

in other contexts (cf. workplace readiness standard 8.3). • Open-ended problems • Non-routine problems • Problems with multiple solutions • Problems that can be solved in several

ways

(Continued) TR: Teaching Resources [(a)Practice, (b)

Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m)Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 1-2, 2-5, 3-5, 3-7, 4-7, 5-3, 6-6, 7-5, 8-4, 9-8, 10-8, 11-6, 12-7


3. Select and apply a variety of appropriate

problem-solving strategies (e.g., .try a simpler problem. or .make a diagram.) to solve problems.

SE/TE: 12-15, 85-88, 89, 142-145, 211, 217-220, 253, 258-264, 265-270, 278-281, 314-318, 338-341, 358, 388-391, 426-429, 434, 510, 512-515, 539, 576-579, 616-619, 629

ASSESSMENT in SE/TE: 144, 216, 220, 543, 578, 585, 637-641, 642, 666, 670, 688, 690, 693

TR: Teaching Resources [(a)Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m)Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters,








(Continued) 3. Select and apply a variety of appropriate

problem-solving strategies (e.g., .try a simpler problem. or .make a diagram.) to solve problems.

Continued) TR: (s) Guided Problem Solving Masters] which

accompany textbook sections 1-2, 2-5, 3-5, 4-7, 5-3, 6-6, 7-5, 8-4, 9-8, 10-8, 11-6, 12-7


4. Pose problems of various types and levels of

difficulty. SE/TE: 12-15, 30, 33, 39, 64, 68, 73, 78, 85-89, 99,

122, 136, 139, 142-146, 152, 163, 169, 193, 208, 217-220, 226, 254-257, 258, 267, 271, 322, 326, 338-341, 349, 365, 370, 385, 388-391, 392, 407, 413, 426-429, 435, 444, 476, 481, 486-487, 500, 502, 512-515, 518, 541, 557, 569, 576-580, 595, 602, 606, 611, 616-619, 637, 659, 673, 675

TR: Teaching Resources(a)Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m)Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 1-2, 2-5, 3-5, 4-7, 5-3, 6-7, 7-5, 8-4, 9-8, 10-6, 11-6, 12-7

TECH: Technology Resources[Internet site, www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM), Interactive Math Lessons and Tools (CD-ROM), Technology Activities, Instructional Video Package, “I-Text” (instant self-check quizzes online and on CD-ROM)]









(Continued) 4. Pose problems of various types and levels of

difficulty.

(Continued) TECH: which accompany textbook sections 1-2, 2-5,

3-5, 4-7, 5-3, 6-7, 7-5, 8-4, 9-8, 10-6, 11-6, 12-7

5. Monitor their progress and reflect on the

process of their problem solving activity. SE/TE: 12-15, 30, 33, 39, 64, 68, 73, 78, 85-89, 99,

122, 136, 139, 152, 163, 169, 193, 208, 226, 254-257, 258, 267, 271, 322, 326, 338-341, 349, 365, 370, 385, 388-391, 392, 407, 413, 426-429, 435, 444, 476, 481, 486-487, 500, 502, 512-515, 518, 541, 557, 569, 576-580, 595, 602, 606, 611, 616-619, 637, 659, 673, 675

TR: Teaching Resources [(a)Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m)Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 5-3, 6-7, 7-5, 8-4, 9-8, 10-6, 11-6, 12-7

TECH: Technology Resources [Internet site, www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM), Interactive Math Lessons and Tools (CD-ROM), Technology Activities, Instructional Video Package, “I-Text” (instant self-check quizzes online and on CD-ROM)] which accompany textbook sections 5-3, 6-7, 7-5, 8-4, 9-8, 10-6, 11-6, 12-7

B. Communication

1. Use communication to organize and clarify their mathematical thinking. • Reading and writing • Discussion, listening, and questioning

SE/TE: 33, 39, 56-57, 68, 73, 78, 99, 112-113, 122, 136, 152, 163, 169, 180-181, 193, 226, 238-239, 258, 271, 298-299, 326, 349, 360-361, 365, 370, 392, 402-403, 407, 413, 435, 466-467, 476, 481, 486-487, 500, 518, 528-529, 541, 557, 569, 586-587, 595, 606, 611, 636-637, 637, 654, 673, 694-695








(Continued) 1. Use communication to organize and clarify

their mathematical thinking. • Reading and writing • Discussion, listening, and questioning


Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m)Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 1-6, 1-7, 2-1, 2-3, 2-4, 2-7, 3-2, 3-4, 3-7, 3-9, 3-10, 4-2, 4-8, 5-4, 5-6, 6-5, 6-9, 7-1, 7-2, 7-6, 8-1, 8-2, 8-5, 9-2, 9-3, 9-6, 9-9, 10-2, 10-5, 10-7, 11-2, 11-4, 11-5, 12-1, 12-4, 12-8

TECH: Technology Resources [Internet site, www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM), Interactive Math Lessons and Tools (CD-ROM), Technology Activities, Instructional Video Package, “I-Text” (instant self-check quizzes online and on CD-ROM)] which accompany textbook sections 1-6, 1-7, 2-1, 2-3, 2-4, 2-7, 3-2, 3-4, 3-7, 3-9, 3-10, 4-2, 4-8, 5-4, 5-6, 6-5, 6-9, 7-1, 7-2, 7-6, 8-1, 8-2, 8-5, 9-2, 9-3, 9-6, 9-9, 10-2, 10-5, 10-7, 11-2, 11-4, 11-5, 12-1, 12-4, 12-8

2. Communicate their mathematical thinking

coherently and clearly to peers, teachers, and others, both orally and in writing.

(Continued) SE/TE: 33, 39, 55, 56-57, 68, 73, 78, 95, 99, 112-113,

122, 133, 136, 152, 163, 169, 179, 180-181, 193, 215, 226, 233, 238-239, 247, 258, 271, 297, 298-299, 319, 326, 349, 360-361, 365, 369, 370, 392, 401, 402-403, 407, 413, 418, 435, 466-467, 476, 481, 486-487, 500, 505, 518, 527, 528-529, 541, 557, 569, 574, 586-587, 595, 606, 611, 614, 636-637, 637, 654, 662, 673, 694-695

TR: Teaching Resources [(a)Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies








(Continued) 2. Communicate their mathematical thinking

coherently and clearly to peers, teachers, and others, both orally and in writing.


Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m)Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 1-6, 1-7, 2-1, 2-3, 2-4, 2-7, 3-2, 3-4, 3-7, 3-9, 3-10, 4-2, 4-8, 5-4, 5-6, 6-5, 6-9, 7-1, 7-2, 7-6, 8-1, 8-2, 8-5, 9-2, 9-3, 9-6, 9-9, 10-2, 10-5, 10-7, 11-2, 11-4, 11-5, 12-1, 12-4, 12-8


3. Analyze and evaluate the mathematical

thinking and strategies of others. SE/TE: 68, 69, 73, 74, 78, 85-88, 90-91, 107, 127,

128-132, 134-135, 136-140, 142-145, 147-150, 163, 164, 252, 258, 271, 326, 370, 407, 413, 512-515, 533-539,540-545, 546-551, 552-556, 557-562, 563-568, 569-575, 576-579, 582, 604, 616-620, 654, 658-662, 668, 673-677, 678-682, 683-686, 689, 728

ASSESSMENT in SE/TE: 56-57, 112-113, 115, 180-181, 183, 238-239, 241, 298-299, 301, 360-361, 402-403, 405, 466-467, 528-529, 531, 586-587, 589, 632-633, 635, 690, 694-695

TR: Teaching Resources[(a)Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies,








(Continued) 3. Analyze and evaluate the mathematical

thinking and strategies of others.

Continued) TR: (m)Test Prep Workbook, (n) Skills and

Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 2-5, 3-4, 3-5, 3-6, 10-1, 10-2, 10-3, 10-4, 10-5, 10-6, 10-7, 10-8, 11-6, 12-8, 12-9, 12-10


4. Use the language of mathematics to express

mathematical ideas precisely. SE/TE: 5-6, 11, 16-17, 22, 33-35, 39, 52-53, 185-187,

190-191, 197, 206, 212, 221, 226, 234-235, 303, 309-311, 326, 331-332, 342-343, 349, 355, 356-357, 407-410, 414, 420, 430-431, 437, 471-473, 471-473, 477, 488, 494, 500, 517, 524-525, 533-534, 546, 552, 557-558, 563-564, 582-583, 595-596, 598, 600, 603, 606-608, 611-612, 621-622, 626, 628-629

C. Connections

1. Recognize recurring themes across mathematical domains (e.g., patterns in number, algebra, and geometry).

SE/TE: 12-15, 85-88, 142-145, 193, 217-220, 254-257, 338-341, 358, 370-388-391, 426-429, 512-515, 557-562, 576-579, 583, 616-619

ASSESSMENT in SE/TE: 66, 99, 120, 132, 144, 204, 220, 365, 368, 370, 390, 407, 435, 458, 492, 543, 578, 641, 666, 670

TR: Teaching Resources [(a)Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies(j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies,








(Continued) 1. Recognize recurring themes across

mathematical domains (e.g., patterns in number, algebra, and geometry).

(Continued) TR: (m)Test Prep Workbook, (n) Skills and

Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 1-2, 2-5, 3-5, 4-7, 5-3, 6-6, 7-5, 8-4, 9-8, 10-8, 11-6, 12-7


2. Use connections among mathematical ideas

to explain concepts (e.g., two linear equations have a unique solution because the lines they represent intersect at a single point).

SE/TE: 152-156, 163, 169, 193, 211, 215, 217-220, 221, 226, 233, 243-247, 254-257, 258, 267, 271, 282-287, 314-319, 322, 326, 338-341, 349, 365, 369, 370, 385, 388-391, 392, 407, 413, 426-429, 435, 444, 476, 481, 486-487, 500, 502, 512-515, 518, 541, 557, 569, 576-580, 595, 602, 606, 611, 616-619, 637, 641, 659

TR: Teaching Resources [(a)Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m)Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 3-8, 4-7, 5-3, 6-7, 7-5, 8-4, 9-8, 10-6, 11-6, 12-7

TECH: Technology Resources[Internet site, www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM),









(Continued) 2. Use connections among mathematical ideas

to explain concepts (e.g., two linear equations have a unique solution because the lines they represent intersect at a single point).


ROM), Technology Activities, Instructional Video Package, “I-Text” (instant self-check quizzes online and on CD-ROM)] which accompany textbook sections 3-8, 4-7, 5-3, 6-7, 7-5, 8-4, 9-8, 10-6, 11-6, 12-7

3. Recognize that mathematics is used in a

variety of contexts outside of mathematics. SE/TE: 3, 17-18, 24-26, 29-32, 34-38, 41-42, 56-57,

59, 69-71, 85-88, 89, 92-95, 98-101, 104-105, 107, 112-113, 115, 117-120, 123-125, 137-139, 142-145, 180-181, 183, 187, 191, 202-204, 205-209, 212-215, 217-220, 222-223, 227-230, 241, 243-247, 250-251, 254-257, 260-263, 267-269, 278-281, 282-286, 289-291, 293, 298-299, 301, 304-308, 310-313, 316-319, 321-324, 326-330, 331-335, 338-341, 342-344, 348, 350-354, 363, 366-369, 372, 378-381, 393-395, 396, 402-403, 405, 413-416, 437-439, 442-444, 449, 469, 489, 495, 512-513, 518-519, 531, 533, 535, 552-553, 576-577, 589, 622, 623, 635, 643, 644, 648, 649, 653, 664, 679

4. Apply mathematics in practical situations

and in other disciplines. SE/TE: 12-13, 32, 34-38, 41, 55, 56-57, 66, 85-86, 88,

92, 95, 104-105, 115-116, 126, 133, 135, 137, 144, 146, 149, 179, 181-182, 212-216, 233, 238-239, 243-247, 248-252, 257, 266-270, 278-281, 282-286, 293, 294, 297, 318, 319, 327, 328, 330, 354, 378-382, 388, 401, 418, 486-487, 505, 527, 574, 614, 650, 662








(Continued) 4. Apply mathematics in practical situations

and in other disciplines.

(Continued) TECH: Technology Resources [Internet site,

www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM), Interactive Math Lessons and Tools (CD-ROM), Technology Activities, Instructional Video Package, “I-Text” (instant self-check quizzes online and on CD-ROM)] which accompany textbook sections 5-1, 5-2, 5-5

5. Trace the development of mathematical

concepts over time and across cultures (cf. world languages and social studies standards).

SE/TE: 226-231, 232, 233, 238-239, 260, 280, 282-286, 287-291, 292 298-299, 366-367, 372, 380, 386, 387, 389, 413, 416, 437, 459, 474, 479, 495, 498, 656



6. Understand how mathematical ideas

interconnect and build on one another to produce a coherent whole.

SE/TE: 33-37, 85-89, 112-113, 142-146, 152-156, 215, 217-220, 221-225, 226-231, 232, 243-247, 254-257, 260, 282-287, 314-319, 338-341, 388-391, 392-395

TR: Teaching Resources [(a)Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment









6. Understand how mathematical ideas interconnect and build on one another to produce a coherent whole.

TR: (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m)Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 1-6, 2-5, 3-7, 4-4, 4-9, 5-3, 5-8, 6-3, 6-7, 7-5, 7-6

TECH: Technology Resources [Internet site, www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM), Interactive Math Lessons and Tools (CD-ROM), Technology Activities, Instructional Video Package, “I-Text” (instant self-check quizzes online and on CD-ROM)] which accompany textbook sections 1-6, 2-5, 3-7, 4-4, 4-9, 5-3, 5-8, 6-3, 6-7, 7-5, 7-6

D. Reasoning 1. Recognize that mathematical facts,

procedures, and claims must be justified. SE/TE: 33, 39, 56-57, 68, 73, 78, 99, 112-113, 122,

136, 152, 163, 169, 180-181, 193, 226, 238-239, 258, 271, 298-299, 326, 349, 360-361, 365, 370, 392, 402-403, 407, 413, 435, 466-467, 476, 481, 486-487, 500, 518, 528-529, 541, 557, 569, 586-587, 595, 606, 611, 636-637, 637, 654, 673, 694-695

TR: Teaching Resources [(a)Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m)Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters]








(Continued) 1. Recognize that mathematical facts,

procedures, and claims must be justified.

(Continued) TR: which accompany textbook sections 1-6, 1-7,

2-1, 2-3, 2-4, 2-7, 3-2, 3-4, 3-7, 3-9, 3-10, 4-2, 4-8, 5-4, 5-6, 6-5, 6-9, 7-1, 7-2, 7-6, 8-1, 8-2, 8-5, 9-2, 9-3, 9-6, 9-9, 10-2, 10-5, 10-7, 11-2, 11-4, 11-5, 12-1, 12-4, 12-8


2. Use reasoning to support their mathematical

conclusions and problem solutions. SE/TE: 540-543, 546-550, 553-556, 557-562, 563-

568, 569-574, 580, 582-585, 586-587, 591-594, 595-599, 600-605, 606-610, 611-615, 616-620, 621-627, 629-630, 636-637

ASSESSMENT in SE/TE: 544, 545, 551, 575, 582-583, 584, 619, 626-630, 540

TR: Teaching Resources [(a)Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m)Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 10-2, 10-4, 10-7, 11-6

TECH: Technology Resources[Internet site, www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM), Interactive Math Lessons and Tools (CD-ROM), Technology Activities, Instructional Video Package, “I-Text”









2. Use reasoning to support their mathematical conclusions and problem solutions.

TECH: (instant self-check quizzes online and on CD-ROM)] which accompany textbook sections 10-2, 10-4, 10-7, 11-6

3. Select and use various types of reasoning

and methods of proof. SE/TE: 30, 64, 80, 139, 197, 208, 213, 264, 267, 278,

288, 305, 308, 322, 325, 337, 371, 382, 385, 414, 416, 444, 491, 502, 534, 571, 576-579, 600, 602, 675, 681

TR: Teaching Resources[(a)Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m)Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources(q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook section 10-8

TECH: Technology Resources [Internet site, www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM), Interactive Math Lessons and Tools (CD-ROM), Technology Activities, Instructional Video Package, “I-Text” (instant self-check quizzes online and on CD-ROM)] which accompany textbook section 10-8

4. Rely on reasoning, rather than answer keys,

teachers, or peers, to check the correctness of their problem solutions.

SE/TE: 68, 73, 78, 99, 122, 136, 152, 163, 169, 193, 226, 258, 271, 326, 349, 365, 370, 392, 407, 413, 435, 476, 481, 486-587, 500, 518, 541, 557, 569, 595, 606, 611, 637, 654, 673

5. Make and investigate mathematical

conjectures. • Counterexamples as a means of

disproving conjectures • Verifying conjectures using informal

reasoning or proofs.

SE/TE: 12-15, 30, 33, 39, 64, 68, 73, 78, 85-89, 99, 122, 136, 139, 142-146, 152, 163, 169, 193, 208, 217-220, 226, 254-257, 258, 267, 271, 322, 326, 338-341, 349, 365, 370, 385, 388-391, 392, 407, 413, 426-429, 435, 444, 476, 481, 486-487, 500, 502, 512-515, 518, 541, 557, 569, 576-580, 595, 602, 606, 611, 616-619, 637, 659, 673, 675








(Continued) 5. Make and investigate mathematical

conjectures. • Counterexamples as a means of

disproving conjectures • Verifying conjectures using informal

reasoning or proofs.

(Continued) TR: Teaching Resources[(a)Practice, (b)

Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m)Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 1-2, 2-5, 3-5, 4-7, 5-3, 6-6, 7-5, 8-4, 9-8, 10-8, 11-6, 12-7

TECH: Technology Resources [Internet site, www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM), Interactive Math Lessons and Tools (CD-ROM),Technology Activities, Instructional Video Package, “I-Text” (instant self-check quizzes online and on CD-ROM)] which accompany textbook sections 1-2, 2-5, 3-5, 4-7, 5-3, 6-6, 7-5, 8-4, 9-8, 10-8, 11-6, 12-7

6. Evaluate examples of mathematical

reasoning and determine whether they are valid.

SE/TE: 56-57, 68, 73, 78, 99, 112-113, 122, 136, 152-156, 163, 169, 193, 211, 215, 217-220, 221, 226, 233, 243-247, 254-257, 258, 267, 271, 282-287, 314-319, 322, 326, 338-341, 349, 365, 369, 370, 385, 388-391, 392, 407, 413, 426-429, 435, 444, 476, 481, 486-487, 500, 502, 512-515, 518, 541, 557, 569, 576-580, 595, 602, 606, 611, 616-619, 637, 641, 659

TR: Teaching Resources [(a)Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m)Test Prep Workbook,








(Continued) 6. Evaluate examples of mathematical

reasoning and determine whether they are valid.

(Continued) TR: (n) Skills and Concept Review, (o) Hands-on

Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 3-8, 4-7, 5-3, 6-7, 7-5, 8-4, 9-8, 10-6, 11-6, 12-7


E. Representations

1. Create and use representations to organize, record, and communicate mathematical ideas. • Concrete representations (e.g., base-ten

blocks or algebra tiles) • Pictorial representations (e.g., diagrams,

charts, or tables)

SE/TE: 12-15, 18-20, 34-38, 56-57, 61-67, 68, 73-76, 78, 85-88, 90-91, 107, 112-113, 127, 128-132, 134-135, 136-140, 142-145, 147-150, 163, 164, 205, 207, 232, 237-238, 243-246, 252, 258, 271, 298-299, 326, 370, 390, 392-395, 407, 413, 466-467, 512-515, 528-529, 533-539,540-545, 546-551, 552-556, 557-562, 563-568, 569-575, 576-579, 582, 586-587, 604, 616-620, 654, 658-662, 668, 673-677, 678-682, 683-686, 689, 728

ASSESSMENT in SE/TE: 56-57, 112-113, 115, 180-181, 183, 238-239, 241, 298-299, 301, 360-361, 402-403, 405, 466-467, 528-529, 531, 586-587, 589, 632-633, 635, 690, 694-695

TR: Teaching Resources [(a)Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m)Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources








(Continued) 1. Create and use representations to organize,

record, and communicate mathematical ideas. • Concrete representations (e.g., base-ten

blocks or algebra tiles) • Pictorial representations (e.g., diagrams,

charts, or tables)

(Continued) TR: (q) Multilingual Handbook ( r) Reading and

Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 2-5, 3-4, 3-5, 3-6, 10-1, 10-2, 10-3, 10-4, 10-5, 10-6, 10-7, 10-8, 11-6, 12-8, 12-9, 12-10


• Symbolic representations (e.g., a

formula) SE/TE: 41-43, 146, 212-215, 216, 222, 224, 342-347,

348, 359, 382, 435, 436-439, 441-446, 447-453, 488-493, 494-499, 500-505, 506-511, 512-516, 517-521, 664, 666, 669

ASSESSMENT in SE/TE: 215, 347, 439, 446, 452, 453, 493, 499, 505, 512, 521, 523, 525, 526, 528-529, 544, 586-587

TE Only: 213, 215 TR: Teaching Resources [(a)Practice, (b)

Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m)Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 4-6, 8-6, 8-8, 9-4, 9-5, 9-6, 9-7, 9-8, 9-9

TECH: Technology Resources [Internet site, www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM), Interactive Math Lessons and Tools (CD-ROM),









(Continued) • Symbolic representations (e.g., a

formula)

Continued) TECH: Technology Activities, Instructional Video

Package, “I-Text” (instant self-check quizzes online and on CD-ROM)] which accompany textbook sections 4-6, 8-6, 8-8, 9-4, 9-5, 9-6, 9-7, 9-8, 9-9

• Graphical representations (e.g., a line

graph) SE/TE: 540-545, 546-551, 553-556, 557-562, 563-

568, 569-574, 575, 581, 579-581 ASSESSMENT in SE/TE: 539, 544, 545, 551, 556,

562, 568, 574, 575, 582-585 TR: Teaching Resources [(a)Practice, (b)


TECH: Technology Resources [Internet site, www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM), Interactive Math Lessons and Tools (CD-ROM), Technology Activities, Instructional Video Package, “I-Text” (instant self-check quizzes online and on CD-ROM)] which accompany textbook sections 1-6, 10-1, 10-2, 10-3, 10-4, 10-5, 10-6, 10-7

2. Select, apply, and translate among

mathematical representations to solve problems.

SE/TE: 68, 70, 73-74, 78, 91-95, 97-102, 106, 111, 124-127, 128-132, 134-135, 136-141, 143-145, 147-150, 151, 152-156, 157-162, 163-168, 169-174, 175, 178, 180-181, 186-187, 205, 207, 211, 223, 226-231, 232, 238-239, 282, 298-299, 317, 320-322, 392, 466-467, 528-529, 586-587, 673-677, 678-682, 683-686, 690, 691-693, 694-695








(Continued) 2. Select, apply, and translate among

mathematical representations to solve problems.


Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Projects, (g) Chapter Tests, (h) Cumulative Assessment, (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Problem of the Day Transparencies, (l) Student Edition Answers on Transparencies, (m)Test Prep Workbook, (n) Skills and Concept Review, (o) Hands-on Activities, (p) Assessment Resources (q) Multilingual Handbook (r) Reading and Math Literacy Masters, (s) Guided Problem Solving Masters] which accompany textbook sections 2-3, 2-6, 3-2, 3-3, 3-4, 3-5, 3-6, 3-7, 4-1, 4-0, 6-4, 12-8

TECH: Technology Resources[Internet site, www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM), Interactive Math Lessons and Tools (CD-ROM), Technology Activities, Instructional Video Package, “I-Text” (instant self-check quizzes online and on CD-ROM)] which accompany textbook sections 2-3, 2-6, 3-2, 3-3, 3-4, 3-5, 3-6, 3-7, 4-1, 4-0, 6-4, 12-8

3. Use representations to model and interpret

physical, social, and mathematical phenomena.

SE/TE: 12-15, 16-21, 24-27, 61-67, 68, 73-74, 78, 85-88, 96, 97-100, 117-121, 127, 134-145, 158-161, 163-168, 169-174, 175, 183, 278-281, 282-288, 293, 314-318, 324, 352-354, 358, 366, 369, 373, 375, 388-391, 393, 394

ASSESSMENT in SE/TE: 56-57, 112-113, 180-181, 238-239, 298-299, 360-361, 402-403, 466-467, 528-529, 586-587, 632-633, 694-695

F. Technology

1. Use technology to gather, analyze, and communicate mathematical information.

SE/TE: 6, 39, 40, 44, 127, 188, 191, 192, 193, 197, 198, 209, 216, 222, 277, 245, 249, 279, 283, 288-291, 292, 294, 296, 314, 350, 365, 374, 375, 382, 385, 439, 460, 507, 575, 596, 597, 602, 620, 642, 671, 682








(Continued) 1. Use technology to gather, analyze, and

communicate mathematical information.

(Continued) TECH: Technology Resources [Internet site,

www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM), Interactive Math Lessons and Tools (CD-ROM), Technology Activities, Instructional Video Package, “I-Text” (instant self-check quizzes online and on CD-ROM)]

2. Use computer spreadsheets, software, and

graphing utilities to organize and display quantitative information.

SE/TE: 44, 127, 216, 277, 460, 575, 597, 602, 620, 642

TECH: Technology Resources [Internet site, www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM), Interactive Math Lessons and Tools (CD-ROM), Technology Activities, Instructional Video Package, “I-Text” (instant self-check quizzes online and on CD-ROM)]

3. Use graphing calculators and computer

software to investigate properties of functions and their graphs.

SE/TE: 127, 277 TECH: Technology Resources [Internet site,


4. Use calculators as problem-solving tools

(e.g., to explore patterns, to validate solutions).

SE/TE: 6, 39, 40, 127, 188, 191, 192, 193, 197, 198, 209, 216, 222, 277, 245, 249, 277, 279, 283, 288-291, 292, 294, 296, 314, 350, 365, 374, 375, 382, 385, 439, 460, 507, 575, 596, 597, 602, 620, 642, 671, 682

TECH: Technology Resources [Internet site, www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM), Interactive Math Lessons and Tools (CD-ROM), Technology Activities, Instructional Video Package, “I-Text” (instant self-check quizzes online and on CD-ROM)]











5. Use computer software to make and verify conjectures about geometric objects.

SE/TE: 277, 460 www.PHSchool.com, Computer Test Generator (CD-ROM), Resource Pro with Planning Express (CD-ROM), Interactive Math Lessons and Tools (CD-ROM), Technology Activities, Instructional Video Package, “I-Text” (instant self-check quizzes online and on CD-ROM)]

6. Use computer-based laboratory technology

for mathematical applications in the sciences. SE/TE: 44, 127, 216, 277, 460, 575, 597, 602, 620,

642 TECH: Technology Resources [Internet site,


1




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