prentice hall mathematics: pre-algebra © 2004...

Prentice Hall Mathematics: Pre-Algebra © 2004 Correlated to:

New Jersey Core Curriculum Content Standards for Mathematics (By the End of Grade 12)

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 A. Number Sense

1. Extend understanding of the number system to all real numbers.

SE/TE: 18-22, 24-29, 44-49, 62-63, 71-75, 127-131, 182-185, 186-190, 192-195, 196, 201-204, 205-208, 210-214, 215-220, 221, 222, 237-241, 288-291, 292, 310-314, 580-583; ASSESSMENT in SE/TE: 220, 223-225, 226, 227, 303, 309, 314, 319, 361, 365

TR: Teaching Resources [Grab and Go Chapter Support Files (a) Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Chapter Projects, (g) Chapter Tests, (h) CumulativeReview & Cumulative Assessment, Presentation Assistant Plus (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Student Edition Answers on Transparencies, (l) Additional Examples on Transparencies, Prentice Hall Assessment System, (m) Computer Test Generator CD-ROM, (n) Algebra Readiness Tests, (0) Assessment Resources, (p) Content Diagnostic Tests, (q) Skills and Concepts Review, (r ) Test-Preparation Workbook, (s) Test-taking Strategies ] which accompany textbook sections 1-4, 1-5, 1-9, 2-2, 3-1, 4-2, 4-3, 4-4, 4-6, 4-7, 4-8, 4-9, 5-2, 6-1, 6-5, 11-1

TECH: Technology Resources [(t) PH SuccessNet Teacher Center Web Site Internet Site, (u) Textbook Web Site www.PHSchool.com, (v) Computer Test Generator (CD-ROM), (w) Resource Pro with Planning Express (CD-ROM), (x) “I-Text” (Interactive text online and on CD-ROM, Prentice Hall Presentation Pro CD-ROM] which accompany textbook sections 1-4, 1-5, 1-9, 2-2, 3-1, 4-2, 4-3, 4-4, 4-6, 4-7, 4-8, 4-9, 5-2, 6-1, 6-5, 11-1

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, (By the End of Grade 12)

NEW JERSEY CORE CURRICULUM CONTENT STANDARDS FOR MATHEMATICS

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

2. Compare and order rational and irrational numbers.

SE/TE: 18-22, 23, 24-29, 44-49, 173, 201-204, 215-220, 232-236, 237-241, 310-314, 580-583,; ASSESSMENT in SE/TE: 22, 29, 34, 49, 204, 220, 225, 226, 236, 241, 247, 291, 314, 319, 332, 343, 484

TE Only: 19, 202, 217-218, 233-234, 311 TR: Teaching Resources [Grab and Go Chapter

Support Files (a) Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Chapter Projects, (g) Chapter Tests, (h) CumulativeReview & Cumulative Assessment, Presentation Assistant Plus (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Student Edition Answers on Transparencies, (l) Additional Examples on Transparencies, Prentice Hall Assessment System, (m) Computer Test Generator CD-ROM, (n) Algebra Readiness Tests, (0) Assessment Resources, (p) Content Diagnostic Tests, (q) Skills and Concepts Review, (r ) Test-Preparation Workbook, (s) Test-taking Strategies ] which accompany textbook sections 1-4, 1-5, 1-9, 4-6, 4-9, 5-1, 5-2, 11-1

TECH: Technology Resources [(t) PH SuccessNet Teacher Center Web Site Internet Site, (u) Textbook Web Site www.PHSchool.com, (v) Computer Test Generator (CD-ROM), (w) Resource Pro with Planning Express (CD-ROM), (x) “I-Text” (Interactive text online and on CD-ROM, Prentice Hall Presentation Pro CD-ROM] which accompany textbook sections 1-4, 1-5, 1-9, 4-6, 4-9, 5-1, 5-2, 11-1







3. Develop conjectures and informal proofs of properties of number systems and sets of numbers.

SE/TE: 18-22, 55-70, 71-75, 76-79, 84-85, 86-90, 91, 93-95, 112, 114, 126, 129, 188, 191, 215-221, 232-236, 237-240, 315-319, 330, 359, 580-583

TR: Teaching Resources [Grab and Go Chapter Support Files (a) Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Chapter Projects, (g) Chapter Tests, (h) CumulativeReview & Cumulative Assessment, Presentation Assistant Plus (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Student Edition Answers on Transparencies, (l) Additional Examples on Transparencies, Prentice Hall Assessment System, (m) Computer Test Generator CD-ROM, (n) Algebra Readiness Tests, (0) Assessment Resources, (p) Content Diagnostic Tests, (q) Skills and Concepts Review, (r ) Test-Preparation Workbook, (s) Test-taking Strategies ] which accompany textbook sections 1-4, 2-1, 2-2, 2-3, 2-5, 2-6, 5-1, 5-2, 4-9, 6-6, 11-1

TECH: Technology Resources [(t) PH SuccessNet Teacher Center Web Site Internet Site, (u) Textbook Web Site www.PHSchool.com, (v) Computer Test Generator (CD-ROM), (w) Resource Pro with Planning Express (CD-ROM), (x) “I-Text” (Interactive text online and on CD-ROM, Prentice Hall Presentation Pro CD-ROM] which accompany textbook sections 1-4, 2-1, 2-2, 2-3, 2-5, 2-6, 5-1, 5-2, 4-9, 6-6, 11-1







B. Numerical Operations

1. Extend understanding and use of operations to real numbers and algebraic procedures.

SE/TE: 8-12, 14-17, 18-22, 23, 24-29, 30-34, 44-49, 61, 62-63, 67-70, 71-75, 86-90, 92-95, 96-101, 106-109, 110-114, 122-123, 126, 127-131, 132-135, 136, 137-141, 143-146, 148-151, 152-155, 182-185, 186-190, 192-195, 201-204, 205-209, 215-220, 221, 232-236, 237-241, 243-247, 259-262, 315-319, 320-323, 325-328, 348-351, 357-361, 362-365, 366, 367-371, 372, 373-376, 379-381, 435-440, 580-583, 584-589, 744, 745, 746, 747, 748, 7749, 750, 759, 764, 765-760; ASSESSMENT in SE/TE: 29, 34, 49, 57-59, 60, 61, 70, 90, 95, 99, 105, 109, 114, 116, 131, 135, 141, 146, 151, 169-171, 172, 190, 193, 214, 220, 223-224, 227, 236, 241, 247, 262, 319, 328, 332, 339-341, 342, 343, 351, 356, 361, 370-371, 376, 381, 439, 452, 584

TE Only: 15, 17, 19, 25, 26, 31, 45, 46, 67, 68, 87-88, 93, 95, 103, 105, 107, 111-112, 144, 149, 151, 153, 212, 220, 233-234, 238-239, 244-245, 260, 321, 323, 368, 371, 374, 379, 436-437

TR: Teaching Resources [Grab and Go Chapter Support Files (a) Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Chapter Projects, (g) Chapter Tests, (h) CumulativeReview & Cumulative Assessment, Presentation Assistant Plus (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Student Edition Answers on Transparencies, (l) Additional Examples on Transparencies, Prentice Hall Assessment System, (m) Computer Test Generator CD-ROM, (n) Algebra Readiness Tests, (0) Assessment Resources, (p) Content Diagnostic Tests, (q) Skills and Concepts Review, (r ) Test-Preparation Workbook, (s) Test-taking Strategies ] which accompany textbook sections 1-2, 1-3, 1-4, 1-5, 1-6, 1-9, 2-1, 2-5, 2-6, 2-8, 2-10, 3-1, 3-2, 3-3, 4-2, 4-3, 4-4, 4-8, 4-9, 5-1, 5-2, 5-3, 5-6, 6-6, 6-8, 7-1, 7-2, 7-3, 7-4, 7-5, 7-6, 7-7, 8-7, 11-1, 11-2

TECH: Technology Resources [(t) PH SuccessNet Teacher Center Web Site Internet Site, (u) Textbook Web Site www.PHSchool.com, (v) Computer Test Generator (CD-ROM), (w) Resource Pro with Planning Express (CD-ROM)







(Continued) 1. Extend understanding and use of operations to

real numbers and algebraic procedures.

(Continued) TECH: (x) “I-Text” (Interactive text online and on

CD-ROM, Prentice Hall Presentation Pro CD-ROM] which accompany textbook sections 1-2, 1-3, 1-4, 1-5, 1-6, 1-9, 2-1, 2-5, 2-6, 2-8, 2-10, 3-1, 3-2, 3-3, 4-2, 4-3, 4-4, 4-8, 4-9, 5-1, 5-2, 5-3, 5-6, 6-6, 6-8, 7-1, 7-2, 7-3, 7-4, 7-5, 7-6, 7-7, 8-7, 11-1, 11-2

2. Develop, apply, and explain methods for

solving problems involving rational and negative exponents.

SE/TE: 187-190, 205-208, 210-214, 215-220, 274-277, 383-386, 387, 533-537, 708-709, 710-714, 715-718, 719-722, 723, 747; ASSESSMENT in SE/TE: 214, 220, 222, 223-225, 226, 227, 236, 241, 247, 271-272, 277, 282, 291, 380, 391, 731, 732

TE Only:206, 208, 212, 217-218 TR: Teaching Resources [Grab and Go Chapter

Support Files (a) Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Chapter Projects, (g) Chapter Tests, (h) CumulativeReview & Cumulative Assessment, Presentation Assistant Plus (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Student Edition Answers on Transparencies, (l) Additional Examples on Transparencies, Prentice Hall Assessment System, (m) Computer Test Generator CD-ROM, (n) Algebra Readiness Tests, (0) Assessment Resources, (p) Content Diagnostic Tests, (q) Skills and Concepts Review, (r ) Test-Preparation Workbook, (s) Test-taking Strategies ] which accompany textbook sections 4-3, 4-7, 4-8, 4-9, 5-9, 7-8, 10-3, 13-5, 13-6, 13-7

TECH: Technology Resources [(t) PH SuccessNet Teacher Center Web Site Internet Site, (u) Textbook Web Site www.PHSchool.com, (v) Computer Test Generator (CD-ROM), (w) Resource Pro with Planning Express (CD-ROM), (x) “I-Text” (Interactive text online and on CD-ROM, Prentice Hall Presentation Pro CD-ROM] which accompany textbook sections 4-3, 4-7, 4-8, 4-9, 5-9, 7-8, 10-3, 13-5, 13-6, 13-7







3. Perform operations on matrics • Addition and subtraction • Scalar multiplication

SE/TE: 502

4. Understand and apply the laws of exponents to simplify expressions involving numbers raised to powers.

SE/TE: 205-208, 210-214, 215-220, 274-277, 383-386, 387, 533-537, 708-709, 710-714, 715-718, 719-722, 723; ASSESSMENT in SE/TE: 214, 220, 222, 223-225, 226, 227, 236, 241, 247, 271-272, 277, 282, 291, 380, 391, 732

TE Only: 206, 208, 212, 217-218 TR: Teaching Resources [Grab and Go Chapter

Support Files (a) Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Chapter Projects, (g) Chapter Tests, (h) CumulativeReview & Cumulative Assessment, Presentation Assistant Plus (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Student Edition Answers on Transparencies, (l) Additional Examples on Transparencies, Prentice Hall Assessment System, (m) Computer Test Generator CD-ROM, (n) Algebra Readiness Tests, (0) Assessment Resources, (p) Content Diagnostic Tests, (q) Skills and Concepts Review, (r ) Test-Preparation Workbook, (s) Test-taking Strategies ] which accompany textbook sections 4-7, 4-8, 4-9, 5-9, 7-8, 10-3, 13-5, 13-6, 13-7

TECH: Technology Resources [(t) PH SuccessNet Teacher Center Web Site Internet Site, (u) Textbook Web Site www.PHSchool.com, (v) Computer Test Generator (CD-ROM), (w) Resource Pro with Planning Express (CD-ROM), (x) “I-Text” (Interactive text online and on CD-ROM, Prentice Hall Presentation Pro CD-ROM] which accompany textbook sections 4-7, 4-8, 4-9, 5-9, 7-8, 10-3, 13-5, 13-6, 13-7







C. Estimation

1. Recognize the limitations of estimation, assess the amount of error resulting from estimation, and determine whether the error is within acceptable tolerance limits.

SE/TE: 128-131, 132-135, 136, 157-161, 162-163, 242, 258, 338, 561, 670-672; ASSESSMENT in SE/TE: 33, 131, 135, 145, 146, 154, 161, 162, 167, 255, 262, 296

TE Only: 129, 167-158 TR: Teaching Resources [Grab and Go Chapter

Support Files (a) Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Chapter Projects, (g) Chapter Tests, (h) CumulativeReview & Cumulative Assessment, Presentation Assistant Plus (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Student Edition Answers on Transparencies, (l) Additional Examples on Transparencies, Prentice Hall Assessment System, (m) Computer Test Generator CD-ROM, (n) Algebra Readiness Tests, (0) Assessment Resources, (p) Content Diagnostic Tests, (q) Skills and Concepts Review, (r ) Test-Preparation Workbook, (s) Test-taking Strategies ] which accompany textbook sections 3-1, 3-2, 3-7, 12-8

TECH: Technology Resources [(t) PH SuccessNet Teacher Center Web Site Internet Site, (u) Textbook Web Site www.PHSchool.com, (v) Computer Test Generator (CD-ROM), (w) Resource Pro with Planning Express (CD-ROM), (x) “I-Text” (Interactive text online and on CD-ROM, Prentice Hall Presentation Pro CD-ROM] which accompany textbook sections 3-1, 3-2, 3-7, 12-8







STANDARD 4.2 GEOMETRY AND MEASUREMENT MATHEMATICS Building upon knowledge and skills gained in preceding grades, by the end of Grade 12, students will: A. Geometric Properties

1. Use geometric models to represent real-world situations and objects and to solve problems using those models (e.g., use Pythagorean Theorem to decide whether an object can fit through a doorway).

SE/TE: 460-463, 467-469, 472-474, 476, 480-484, 486-490, 497-501, 503-506, 507-510, 518-519, 539-543, 545-549, 551, 553-556, 557-560, 563-565, 567-569, 576-577, 580-583, 584-589, 598-601, 602-606, 608-612, 613, 614-618; ASSESSMENT in SE/TE: 463, 469, 474, 479, 484, 490, 495, 501, 506, 508, 513-515, 517, 526, 543, 563, 583, 589, 601, 606, 612, 618, 621-622, 625

TE Only: 459, 460, 466-467, 471-472, 477, 481, 492-493, 498, 504, 540, 543, 583, 585-586, 599, 601, 604-604, 609

TR: Teaching Resources [Grab and Go Chapter Support Files (a) Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Chapter Projects, (g) Chapter Tests, (h) CumulativeReview & Cumulative Assessment, Presentation Assistant Plus (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Student Edition Answers on Transparencies, (l) Additional Examples on Transparencies, Prentice Hall Assessment System, (m) Computer Test Generator CD-ROM, (n) Algebra Readiness Tests, (0) Assessment Resources, (p) Content Diagnostic Tests, (q) Skills and Concepts Review, (r ) Test-Preparation Workbook, (s) Test-taking Strategies ] which accompany textbook sections 9-1, 9-2, 9-3, 9-4, 9-5, 9-6, 9-8, 9-9, 9-10, 10-4, 10-6, 10-7, 10-8, 10-9, 11-1, 11-2, 11-4, 11-5, 11-6, 11-7

TECH: Technology Resources [(t) PH SuccessNet Teacher Center Web Site Internet Site, (u) Textbook Web Site www.PHSchool.com, (v) Computer Test Generator (CD-ROM), (w) Resource Pro with Planning Express (CD-ROM), (x) “I-Text” (Interactive text online and on CD-ROM, Prentice Hall Presentation Pro CD-ROM] which accompany textbook 9-1, 9-2, 9-3, 9-4, 9-5, 9-6, 9-8, 9-9, 9-10, 10-4, 10-6, 10-7, 10-8, 10-9, 11-1, 11-2, 11-4, 11-5, 11-6, 11-7







2. Draw perspective views of 3D objects on isometric dot paper, given 2D representations (e.g., nets or projective views).

SE/TE: 539-543, 544, 545-550, 551, 552-556; ASSESSMENT in SE/TE: 543, 550, 556, 565, 572, 574, 575

TE Only: 540, 542, 544 TR: Teaching Resources [Grab and Go Chapter

Support Files (a) Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Chapter Projects, (g) Chapter Tests, (h) CumulativeReview & Cumulative Assessment, Presentation Assistant Plus (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Student Edition Answers on Transparencies, (l) Additional Examples on Transparencies, Prentice Hall Assessment System, (m) Computer Test Generator CD-ROM, (n) Algebra Readiness Tests, (0) Assessment Resources, (p) Content Diagnostic Tests, (q) Skills and Concepts Review, (r ) Test-Preparation Workbook, (s) Test-taking Strategies ] which accompany textbook sections 10-4, 10-5, 10-6

TECH: Technology Resources [(t) PH SuccessNet Teacher Center Web Site Internet Site, (u) Textbook Web Site www.PHSchool.com, (v) Computer Test Generator (CD-ROM), (w) Resource Pro with Planning Express (CD-ROM), (x) “I-Text” (Interactive text online and on CD-ROM, Prentice Hall Presentation Pro CD-ROM] which accompany textbook sections 10-4, 10-5, 10-6







3. Apply the properties of geometric shapes. Mathematics 73 • Parallel lines – transversal, alternate interior angles, corresponding angles

SE/TE: 458-463, 465-469, 470-471, 476-479, 480-484, 486-490, 491-495, 496, 497-501, 503-506, 507-510, 518-519, 539-549, 576-577, 580-583, 584-589, 598-601, 602-606, 608-612, 613, 614-618; ASSESSMENT in SE/TE: 463, 469, 474, 479, 484, 490, 495, 501, 506, 508, 513-515, 517, 526, 543, 563, 583, 589, 601, 606, 612, 618, 621-622, 625

TE Only: 459, 460, 466-467, 471-472, 477, 481, 492-493, 498, 504, 540, 543, 583, 585-586, 599, 601, 604-604, 609

TR: Teaching Resources [Grab and Go Chapter Support Files (a) Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Chapter Projects, (g) Chapter Tests, (h) CumulativeReview & Cumulative Assessment, Presentation Assistant Plus (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Student Edition Answers on Transparencies, (l) Additional Examples on Transparencies, Prentice Hall Assessment System, (m) Computer Test Generator CD-ROM, (n) Algebra Readiness Tests, (0) Assessment Resources, (p) Content Diagnostic Tests, (q) Skills and Concepts Review, (r ) Test-Preparation Workbook, (s) Test-taking Strategies ] which accompany textbook sections 9-1, 9-2, 9-3, 9-4, 9-5, 9-6, 9-7, 9-8, 9-9, 9-10, 10-4, 11-1, 11-2, 11-4, 11-5, 11-6, 11-7

TECH: Technology Resources [(t) PH SuccessNet Teacher Center Web Site Internet Site, (u) Textbook Web Site www.PHSchool.com, (v) Computer Test Generator (CD-ROM), (w) Resource Pro with Planning Express (CD-ROM), (x) “I-Text” (Interactive text online and on CD-ROM, Prentice Hall Presentation Pro CD-ROM] which accompany textbook sections 9-1, 9-2, 9-3, 9-4, 9-5, 9-6, 9-7, 9-8, 9-9, 9-10, 10-4, 11-1, 11-2, 11-4, 11-5, 11-6, 11-7







• Triangles A. Conditions for congruence B. Segment joining midpoints of two sides is

parallel to and half the length of the third side

C. Triangle Inequality

SE/TE: 470-474, 482-484, 485, 491-495, 497-501, 592-596, 597; ASSESSMENT in SE/TE: 484, 490, 501, 596, 601

TE Only: 481, 594 TR: Teaching Resources [Grab and Go Chapter









• Minimal conditions for a shape to be a special quadrilateral

SE/TE: 471-474, 476-479; ASSESSMENT in SE/TE: 474, 479

TE Only: 471-472, 477 TR: Teaching Resources [Grab and Go Chapter

Support Files (a) Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Chapter Projects, (g) Chapter Tests, (h) CumulativeReview & Cumulative Assessment, Presentation Assistant Plus (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Student Edition Answers on Transparencies, (l) Additional Examples on Transparencies, Prentice Hall Assessment System, (m) Computer Test Generator CD-ROM, (n) Algebra Readiness Tests, (0) Assessment Resources, (p) Content Diagnostic Tests, (q) Skills and Concepts Review, (r ) Test-Preparation Workbook, (s) Test-taking Strategies ] which accompany textbook sections 9-3, 9-4

TECH: Technology Resources [(t) PH SuccessNet Teacher Center Web Site Internet Site, (u) Textbook Web Site www.PHSchool.com, (v) Computer Test Generator (CD-ROM), (w) Resource Pro with Planning Express (CD-ROM), (x) “I-Text” (Interactive text online and on CD-ROM, Prentice Hall Presentation Pro CD-ROM] which accompany textbook sections 9-3, 9-4







• Circles – arcs, central and inscribed angles, chords, tangents

SE/TE: 486-490, 518-519; ASSESSMENT in SE/TE: 490, 515,

TE Only: 487-488 TR: Teaching Resources [Grab and Go Chapter

Support Files (a) Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Chapter Projects, (g) Chapter Tests, (h) CumulativeReview & Cumulative Assessment, Presentation Assistant Plus (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Student Edition Answers on Transparencies, (l) Additional Examples on Transparencies, Prentice Hall Assessment System, (m) Computer Test Generator CD-ROM, (n) Algebra Readiness Tests, (0) Assessment Resources, (p) Content Diagnostic Tests, (q) Skills and Concepts Review, (r ) Test-Preparation Workbook, (s) Test-taking Strategies ] which accompany textbook section 9-6

TECH: Technology Resources [(t) PH SuccessNet Teacher Center Web Site Internet Site, (u) Textbook Web Site www.PHSchool.com, (v) Computer Test Generator (CD-ROM), (w) Resource Pro with Planning Express (CD-ROM), (x) “I-Text” (Interactive text online and on CD-ROM, Prentice Hall Presentation Pro CD-ROM] which accompany textbook section 9-6







• Self-similarity

SE/TE: 38, 299-303 TR: Teaching Resources [Grab and Go Chapter









4. Use reasoning and some form of proof to verify or refute conjectures and theorems. • Verification or refutation of proposed

proofs • Simple proofs involving congruent

triangles • Counterexamples to incorrect conjectures

SE/TE: 77-79, 108, 114 (# 46-48, 59-61), 150 (# 17, 18), 284-285, 344-345, 369, 481-484, 485, 688-692, 693

TE Only: 36-37, 41, 481, 689-690 TR: Teaching Resources [Grab and Go Chapter









B. Transforming Shapes

1. Determine, describe, and draw the effect of a transformation, or a sequence of transformations, on a geometric or algebraic object, and, conversely, determine whether and how one object can be transformed to another by a transformation or a sequence of transformations.

SE/TE: 497-501, 502, 503-506, 507-510, 511; ASSESSMENT in SE/TE: 501, 506, 510, 513-515, 516, 517, 526

TE Only: 498, 504, 508 TR: Teaching Resources [Grab and Go Chapter









2. Recognize three-dimensional figures obtained through transformations of two- dimensional figures (e.g., cone as rotating an isosceles triangle about an altitude), using software as an aid to visualization.

SE/TE: 500 (# 40) TR: Teaching Resources [Grab and Go Chapter



3. Determine whether two or more given shapes

can be used to generate a tessellation.

SE/TE: 511







4. Generate and analyze iterative geometric patterns. • Fractals (e.g., Sierpinski s Triangle) • Patterns in areas and perimeters of self-

similar figures • Outcome of extending iterative process

indefinitely

SE/TE: 35-39, 40-43, 44, 77-79, 108, 114 (# 46-48), 150 (# 17, 18), 197-200, 284-285, 688-692, 693; ASSESSMENT in SE/TE: 39, 43, 59,

TE Only: 36-37, 41, 689-690 TR: Teaching Resources [Grab and Go Chapter









C. Coordinate Geometry

1. Use coordinate geometry to represent and verify properties of lines. • Distance between two points • Midpoint and slope of a line segment • Finding the intersection of two lines • Lines with the same slope are parallel • Lines that are perpendicular have slopes

whose product is –1

SE/TE: 411-416, 417, 418-422, 430-433, 497-501, 504-506, 509-511, 512, 592-596, 597; ASSESSMENT in SE/TE: 416, 422, 433, 484, 490, 501, 596, 601

TE Only: 412-413, 419, 431, 433, 481, 594 TR: Teaching Resources [Grab and Go Chapter

Support Files (a) Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Chapter Projects, (g) Chapter Tests, (h) CumulativeReview & Cumulative Assessment, Presentation Assistant Plus (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Student Edition Answers on Transparencies, (l) Additional Examples on Transparencies, Prentice Hall Assessment System, (m) Computer Test Generator CD-ROM, (n) Algebra Readiness Tests, (0) Assessment Resources, (p) Content Diagnostic Tests, (q) Skills and Concepts Review, (r ) Test-Preparation Workbook, (s) Test-taking Strategies ] which accompany textbook sections 8-3, 8-4, 8-6, 9-8, 9-9, 11-3

TECH: Technology Resources [(t) PH SuccessNet Teacher Center Web Site Internet Site, (u) Textbook Web Site www.PHSchool.com, (v) Computer Test Generator (CD-ROM), (w) Resource Pro with Planning Express (CD-ROM), (x) “I-Text” (Interactive text online and on CD-ROM, Prentice Hall Presentation Pro CD-ROM] which accompany textbook sections 8-3, 8-4, 8-6, 9-8, 9-9, 11-3







2. Show position and represent motion in the coordinate plane using vectors. • Addition and subtraction of vectors

SE/TE: 497-501, 502; ASSESSMENT in SE/TE: 501

TE Only: 498 TR: Teaching Resources [Grab and Go Chapter









D. Units of Measurement

1. Understand and use the concept of significant digits.

SE/TE: 162-163

2. Choose appropriate tools and techniques to achieve the specified degree of precision and error needed in a situation. • Degree of accuracy of a given

measurement tool • Finding the interval in which a computed

measure (e.g., area or volume) lies, given the degree of precision of linear measurements 74

SE/TE: 144-146, 147, 258, 292-293, 464, 491-495, 496, 522-526, 527-531, 532-537, 545-550, 551, 552-556, 557-560, 562-565, 557-560, 562-565, 566-569, 576-577, 585-589, 590-591, 592-596, 606 (@17)598-601, 602-606, 608-612, 613, 615-618, 619, 625, 753, 754; ASSESSMENT in SE/TE: 146, 151, 172, 220, 525, 531, 536, 537, 550, 556, 560, 563, 569, 571-573, 574, 589, 596, 606

TE Only: 144, 523, 529, 535-537, 546-547, 553-554, 563, 567, 585-586, 593-594

TR: Teaching Resources [Grab and Go Chapter Support Files (a) Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Chapter Projects, (g) Chapter Tests, (h) CumulativeReview & Cumulative Assessment, Presentation Assistant Plus (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Student Edition Answers on Transparencies, (l) Additional Examples on Transparencies, Prentice Hall Assessment System, (m) Computer Test Generator CD-ROM, (n) Algebra Readiness Tests, (0) Assessment Resources, (p) Content Diagnostic Tests, (q) Skills and Concepts Review, (r ) Test-Preparation Workbook, (s) Test-taking Strategies ] which accompany textbook sections 3-4, 10-1, 10-2, 10-3, 10-5, 10-6, 10-7, 10-8, 10-9








E. Measuring Geometric Objects

1. Use techniques of indirect measurement to represent and solve problems. • Similar triangles • Pythagorean theorem • Right triangle trigonometry (sine, cosine,

tangent)

SE/TE: 299-303, 584-591, 602-607, 608-612, 614-618; ASSESSMENT in SE/TE: 303, 591, 596, 607, 612, 618

TR: Teaching Resources [Grab and Go Chapter Support Files (a) Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Chapter Projects, (g) Chapter Tests, (h) CumulativeReview & Cumulative Assessment, Presentation Assistant Plus (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Student Edition Answers on Transparencies, (l) Additional Examples on Transparencies, Prentice Hall Assessment System, (m) Computer Test Generator CD-ROM, (n) Algebra Readiness Tests, (0) Assessment Resources, (p) Content Diagnostic Tests, (q) Skills and Concepts Review, (r ) Test-Preparation Workbook, (s) Test-taking Strategies ] which accompany textbook sections 6-3, 11-2, 11-4, 11-6, 11-7

TECH: Technology Resources [(t) PH SuccessNet Teacher Center Web Site Internet Site, (u) Textbook Web Site www.PHSchool.com, (v) Computer Test Generator (CD-ROM), (w) Resource Pro with Planning Express (CD-ROM), (x) “I-Text” (Interactive text online and on CD-ROM, Prentice Hall Presentation Pro CD-ROM] which accompany textbook sections 6-3, 11-2, 11-4, 11-6, 11-7







2. Use a variety of strategies to determine perimeter and area of plane figures and surface area and volume of 3D figures. • Approximation of area using grids of

different sizes • Finding which shape has minimal (or

maximal) area, perimeter, volume, or surface area under given conditions using graphing calculators, dynamic geometric software, and/or spreadsheets

• Estimation of area, perimeter, volume, and surface area

SE/TE: 144-146, 147, 258, 292-293, 522-526, 527-531, 532-537, 545-550, 551, 552-556, 557-560, 562-565, 557-560, 562-565, 566-569, 576-577, 753, 754; ASSESSMENT in SE/TE: 146, 151, 172, 220, 525, 531, 536, 537, 550, 556, 560, 563, 569, 571-573, 574, 589, 596, 606

TE Only: 144, 523, 529, 535-537, 546-547, 553-554, 563, 567, 585-586, 593-594









STANDARD 4.3 PATTERNS AND ALGEBRA Mathematics Building upon knowledge and skills gained in preceding grades, by the end of Grade 12, students will: A. Patterns

1. Use models and algebraic formulas to represent and analyze sequences and series. • Explicit formulas for nth terms • Sums of finite arithmetic series • Sums of finite and infinite geometric

series

SE/TE: 35-39, 40-43, 44, 77-79, 108, 114 (# 46-48), 150 (# 17, 18), 284-285, 344-345, 369, 688-692, 693; ASSESSMENT in SE/TE: 39, 43, 59,




2. Develop an informal notion of limit.

SE/TE: 688-692, 693, 699-702, 703







3. Use inductive reasoning to form generalizations.

SE/TE: 35-39, 40-43, 44, 284-285, 688-692, 693; ASSESSMENT in SE/TE: 39, 43, 59, 692










B. Functions and Relationships

1. Understand relations and functions and select, convert flexibly among, and use various representations for them, including equations or inequalities, tables, and graphs.

SE/TE: 400-404, 406-409, 411-416, 421, 423-428, 430-433, 688-692, 693, 694-697, 751; ASSESSMENT in SE/TE: 404, 409, 416, 428, 433, 697

TE Only: 402, 690, 695, 697 TR: Teaching Resources [Grab and Go Chapter

Support Files (a) Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Chapter Projects, (g) Chapter Tests, (h) CumulativeReview & Cumulative Assessment, Presentation Assistant Plus (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Student Edition Answers on Transparencies, (l) Additional Examples on Transparencies, Prentice Hall Assessment System, (m) Computer Test Generator CD-ROM, (n) Algebra Readiness Tests, (0) Assessment Resources, (p) Content Diagnostic Tests, (q) Skills and Concepts Review, (r ) Test-Preparation Workbook, (s) Test-taking Strategies ] which accompany textbook sections 8-1, 8-2, 8-3, 8-4, 8-5, 8-6, 13-1,13-2

TECH: Technology Resources [(t) PH SuccessNet Teacher Center Web Site Internet Site, (u) Textbook Web Site www.PHSchool.com, (v) Computer Test Generator (CD-ROM), (w) Resource Pro with Planning Express (CD-ROM), (x) “I-Text” (Interactive text online and on CD-ROM, Prentice Hall Presentation Pro CD-ROM] which accompany textbook sections 8-1, 8-2, 8-3, 8-4, 8-5, 8-6, 13-1,13-2







2. Analyze and explain the general properties and behavior of functions of one variable, using appropriate graphing technologies. • Slope of a line or curve • Domain and range • Intercepts • Continuity • Maximum/minimum • Estimating roots of equations 82 •

Intersecting points as solutions of systems of equations

• Rates of change

SE/TE: 205-208, 210-214, 274-277, 378-381, 382-386, 400-404, 405-409, 410, 411-416, 417, 418-422, 423-428, 430-433, 435-440, 688-692, 693, 694-697; ASSESSMENT in SE/TE: 39, 208, 214, 277, 381, 386, 404, 409, 416, 422, 433, 439, 440, 446, 451, 452, 12, 692, 697

TE Only: 402, 406-407, 412-413, 419, 431, 433, 436-437

TR: Teaching Resources [Grab and Go Chapter Support Files (a) Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Chapter Projects, (g) Chapter Tests, (h) CumulativeReview & Cumulative Assessment, Presentation Assistant Plus (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Student Edition Answers on Transparencies, (l) Additional Examples on Transparencies, Prentice Hall Assessment System, (m) Computer Test Generator CD-ROM, (n) Algebra Readiness Tests, (0) Assessment Resources, (p) Content Diagnostic Tests, (q) Skills and Concepts Review, (r ) Test-Preparation Workbook, (s) Test-taking Strategies ] which accompany textbook sections 1-7, 4-7, 4-8, 5-9, 7-7, 7-8,8-1, 8-2, 8-3, 8-4, 8-5, 8-6, 13-1

TECH: Technology Resources [(t) PH SuccessNet Teacher Center Web Site Internet Site, (u) Textbook Web Site www.PHSchool.com, (v) Computer Test Generator (CD-ROM), (w) Resource Pro with Planning Express (CD-ROM), (x) “I-Text” (Interactive text online and on CD-ROM, Prentice Hall Presentation Pro CD-ROM] which accompany textbook sections 1-7, 4-7, 4-8, 5-9, 7-7, 7-8,8-1, 8-2, 8-3, 8-4, 8-5, 8-6, 13-1







3. Understand and perform transformations on commonly-used functions. • Translations, reflections, dilations • Effects on linear and quadratic graphs of

parameter changes in equations • Using graphing calculators or computers

for more complex functions

SE/TE: 417, 418-421, 447, 609, 613, 634, 661, 673, 688-692, 694-697, 698, 699-702, 703

TR: Teaching Resources [Grab and Go Chapter Support Files (a) Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Chapter Projects, (g) Chapter Tests, (h) CumulativeReview & Cumulative Assessment, Presentation Assistant Plus (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Student Edition Answers on Transparencies, (l) Additional Examples on Transparencies, Prentice Hall Assessment System, (m) Computer Test Generator CD-ROM, (n) Algebra Readiness Tests, (0) Assessment Resources, (p) Content Diagnostic Tests, (q) Skills and Concepts Review, (r ) Test-Preparation Workbook, (s) Test-taking Strategies ] which accompany textbook sections 8-7, 13-1, 13-2, 13-3








4. Understand and compare the properties of classes of functions, including exponential, polynomial, rational, and trigonometric functions. • Linear vs. non-linear • Symmetry • Increasing/decreasing on an interval

SE/TE: 405-409, 411-416, 418-422, 430-433, 434, 695-697, 698, 699-702, 703; ASSESSMENT in SE/TE: 409, 416, 422, 433, 697, 702

TE Only: 406-407, 419, 431, 433, 695, 697, 700 TR: Teaching Resources [Grab and Go Chapter

Support Files (a) Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Chapter Projects, (g) Chapter Tests, (h) CumulativeReview & Cumulative Assessment, Presentation Assistant Plus (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Student Edition Answers on Transparencies, (l) Additional Examples on Transparencies, Prentice Hall Assessment System, (m) Computer Test Generator CD-ROM, (n) Algebra Readiness Tests, (0) Assessment Resources, (p) Content Diagnostic Tests, (q) Skills and Concepts Review, (r ) Test-Preparation Workbook, (s) Test-taking Strategies ] which accompany textbook sections 8-1, 8-3, 8-4, 8-6, 13-2, 13-3

TECH: Technology Resources [(t) PH SuccessNet Teacher Center Web Site Internet Site, (u) Textbook Web Site www.PHSchool.com, (v) Computer Test Generator (CD-ROM), (w) Resource Pro with Planning Express (CD-ROM), (x) “I-Text” (Interactive text online and on CD-ROM, Prentice Hall Presentation Pro CD-ROM] which accompany textbook sections 8-1, 8-3, 8-4, 8-6, 13-2, 13-3







C. Modeling

1. Use functions to model real-world phenomena and solve problems that involve varying quantities. • Linear, quadratic, exponential, periodic

(sine and cosine), and step functions (e.g., price of mailing a first-class letter over the past 200 years)

• Direct and inverse variation • Absolute value • Expressions, equations and inequalities • Same function can model variety of

phenomena • Growth/decay and change in the natural

world • Applications in mathematics, biology,

and economics (including compound interest)

SE/TE: 405-409, 410, 411-416, 418-422, 430-433, 434, 695-697, 698, 695-607, 699-702, 703, 730; ASSESSMENT in SE/TE: 409, 416, 422, 433, 697, 702

TE Only: 406-407, 419, 431, 433, 695, 697, 700 TR: Teaching Resources [Grab and Go Chapter

Support Files (a) Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Chapter Projects, (g) Chapter Tests, (h) CumulativeReview & Cumulative Assessment, Presentation Assistant Plus (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Student Edition Answers on Transparencies, (l) Additional Examples on Transparencies, Prentice Hall Assessment System, (m) Computer Test Generator CD-ROM, (n) Algebra Readiness Tests, (0) Assessment Resources, (p) Content Diagnostic Tests, (q) Skills and Concepts Review, (r ) Test-Preparation Workbook, (s) Test-taking Strategies ] which accompany textbook sections 8-1, 8-3, 8-4, 8-6, 13-2, 13-2, 13-3

TECH: Technology Resources [(t) PH SuccessNet Teacher Center Web Site Internet Site, (u) Textbook Web Site www.PHSchool.com, (v) Computer Test Generator (CD-ROM), (w) Resource Pro with Planning Express (CD-ROM), (x) “I-Text” (Interactive text online and on CD-ROM, Prentice Hall Presentation Pro CD-ROM] which accompany textbook sections 8-1, 8-3, 8-4, 8-6, 13-2, 13-2, 13-3







2. Analyze and describe how a change in an independent variable leads to change in a dependent one.

SE/TE: 406-407, 410, 411-416, 417, 695-697, 698, 699-702730; ASSESSMENT in SE/TE: 702, 707

TR: Teaching Resources [Grab and Go Chapter Support Files (a) Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Chapter Projects, (g) Chapter Tests, (h) CumulativeReview & Cumulative Assessment, Presentation Assistant Plus (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Student Edition Answers on Transparencies, (l) Additional Examples on Transparencies, Prentice Hall Assessment System, (m) Computer Test Generator CD-ROM, (n) Algebra Readiness Tests, (0) Assessment Resources, (p) Content Diagnostic Tests, (q) Skills and Concepts Review, (r ) Test-Preparation Workbook, (s) Test-taking Strategies ] which accompany textbook sections 3-2, 8-2, 8-3








3. Convert recursive formulas to linear or exponential functions (e.g., Tower of Hanoi and doubling).

SE/TE: 699-702; ASSESSMENT in SE/TE: 702, 707

TR: Teaching Resources [Grab and Go Chapter Support Files (a) Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Chapter Projects, (g) Chapter Tests, (h) CumulativeReview & Cumulative Assessment, Presentation Assistant Plus (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Student Edition Answers on Transparencies, (l) Additional Examples on Transparencies, Prentice Hall Assessment System, (m) Computer Test Generator CD-ROM, (n) Algebra Readiness Tests, (0) Assessment Resources, (p) Content Diagnostic Tests, (q) Skills and Concepts Review, (r ) Test-Preparation Workbook, (s) Test-taking Strategies ] which accompany textbook section 13-3








D. Procedures

1. Evaluate and simplify expressions. • Add and subtract polynomials • Multiply a polynomial by a monomial or

binomial • Divide a polynomial by a monomial

SE/TE: 704-707, 708-709, 710-714, 715-718, 719-722, 723; ASSESSMENT in SE/TE: 707, 714, 718, 722732










2. Select and use appropriate methods to solve equations and inequalities. • Linear equations – algebraically • Quadratic equations – factoring (when

the coefficient of x2 is 1) and using the quadratic formula

• All types of equations using graphing, computer, and graphing calculator techniques

SE/TE: 86-90, 92-95, 100-101, 102-105, 106-109, 110-114, 122-123, 143-146, 147, 148-151, 152-155, 209, 320-323, 348-351, 352-356, 357-361, 362-365, 366, 367-371, 372, 373-376, 379-381, 387, 417, 435-440, 447, 694-697, 698, 703, 745, 746, 749, 750; ASSESSMENT in SE/TE: 90, 95, 99, 105, 109, 114, 116, 131, 146, 151, 169-171, 172, 190, 323, 332, 339-341, 342, 343, 351, 356, 361, 370-371, 376, 381, 439, 452

TE Only: 87-88, 93, 95, 103, 105, 107, 111-112, 144, 149, 151, 153, 321, 323, 368, 371, 374, 379, 436-437



3. Judge the meaning, utility, and reasonableness

of the results of symbol manipulations, including those carried out by technology

SE/TE: 264, 266 (# 20-22), 273, 278, 283, 284-285, 291, 298 (# 24-27), 316-319, 320-323, 330, 333, 352-353, 359, 362-363, 366, 368, 393







STANDARD 4.4 DATA ANALYSIS, PROBABILITY, AND DISCRETE MATHEMATICS Mathematics Building upon knowledge and skills gained in preceding grades, by the end of Grade 12, students will A. Data Analysis

1. Use surveys and sampling techniques to generate data and draw conclusions about large groups. • Advantages/disadvantages of sample

selection methods (e.g., convenience sampling, responses to survey, random sampling)

SE/TE: 630-633, 634, 635-639, 642-647, 649-653, 654-658, 659-663, 664, 665-668, 669-672, 674-677, 684-685; ASSESSMENT in SE/TE: 633, 647, 663, 668, 672, 679-681, 682, 683

TE Only: 636-637, 643-644, 650-651, 655-656, 660-661, 663, 666









2. Evaluate the use of data in real-world contexts. • Accuracy and reasonableness of

conclusions drawn • Bias in conclusions drawn (e.g., influence

of how data is displayed) • Statistical claims based on sampling

SE/TE: 137-142, 635-639, 640-641; ASSESSMENT in SE/TE: 142, 170, 172, 628, 633, 639, 678

TE Only: 138-139, 636-637 TR: Teaching Resources [Grab and Go Chapter









3. Design a statistical experiment, conduct the experiment, and interpret and communicate the outcome.


TE Only: 636-637, 643-644, 650-651, 655-656, 660-661, 663, 666









4. Estimate or determine lines of best fit (or curves of best fit if appropriate) with technology, and use them to interpolate within the range of the data.

SE/TE: 423-428, 429, 430-433, 434; ASSESSMENT in SE/TE: 428, 433, 440

TE Only: 424-425, 431, 433 TR: Teaching Resources [Grab and Go Chapter









5. Analyze data using technology, and use statistical terminology to describe conclusions. • Measures of dispersion: variance,

standard deviation, outliers • Correlation coefficient • Normal distribution (e.g., approximately

95% of the sample lies between two standard deviations on either side of the mean)

SE/TE: 137-142, 635-639, 640-641; ASSESSMENT in SE/TE: 142, 170, 172, 628, 633, 639, 678; ASSESSMENT in SE/TE: 428, 433, 440

TE Only: 138-139, : 423-428, 429, 430-433, 434, 636-637

TR: Teaching Resources [Grab and Go Chapter Support Files (a) Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Chapter Projects, (g) Chapter Tests, (h) CumulativeReview & Cumulative Assessment, Presentation Assistant Plus (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Student Edition Answers on Transparencies, (l) Additional Examples on Transparencies, Prentice Hall Assessment System, (m) Computer Test Generator CD-ROM, (n) Algebra Readiness Tests, (0) Assessment Resources, (p) Content Diagnostic Tests, (q) Skills and Concepts Review, (r ) Test-Preparation Workbook, (s) Test-taking Strategies ] which accompany textbook sections 3-3, 12-2








B. Probability

1. Calculate the expected value of a probability-based game, given the probabilities and payoffs of the various outcomes, and determine whether the game is fair.

SE/TE: 630-633, 649-653, 654-658, 674-677, 679-681, 682; ASSESSMENT in SE/TE: 631, 633, 650-651

TE Only: 631, 650-651, 655-656 TR: Teaching Resources [Grab and Go Chapter









2. Use concepts and formulas of area to calculate geometric probabilities.

SE/TE: 674-577; ASSESSMENT in SE/TE: 677 TR: Teaching Resources [Grab and Go Chapter









3. Model situations involving probability with simulations (using spinners, dice, calculators and computers) and theoretical models, and solve problems using these models.


TR: Teaching Resources [Grab and Go Chapter Support Files (a) Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Chapter Projects, (g) Chapter Tests, (h) CumulativeReview & Cumulative Assessment, Presentation Assistant Plus (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Student Edition Answers on Transparencies, (l) Additional Examples on Transparencies, Prentice Hall Assessment System, (m) Computer Test Generator CD-ROM, (n) Algebra Readiness Tests, (0) Assessment Resources, (p) Content Diagnostic Tests, (q) Skills and Concepts Review, (r ) Test-Preparation Workbook, (s) Test-taking Strategies ] which accompany textbook sections 12-1, 12-4, 12-5, 12-9








4. Determine probabilities in complex situations. • Conditional events • Complementary events • Dependent and independent events

SE/TE: 649-653, 654-658, 674-677, 679-681, 682; ASSESSMENT in SE/TE: 650-651

TE Only: 650-651, 655-656 TR: Teaching Resources [Grab and Go Chapter

Support Files (a) Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Chapter Projects, (g) Chapter Tests, (h) CumulativeReview & Cumulative Assessment, Presentation Assistant Plus (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Student Edition Answers on Transparencies, (l) Additional Examples on Transparencies, Prentice Hall Assessment System, (m) Computer Test Generator CD-ROM, (n) Algebra Readiness Tests, (0) Assessment Resources, (p) Content Diagnostic Tests, (q) Skills and Concepts Review, (r ) Test-Preparation Workbook, (s) Test-taking Strategies ] which accompany textbook section 12-4, 12-5

TECH: Technology Resources [(t) PH SuccessNet Teacher Center Web Site Internet Site, (u) Textbook Web Site www.PHSchool.com, (v) Computer Test Generator (CD-ROM), (w) Resource Pro with Planning Express (CD-ROM), (x) “I-Text” (Interactive text online and on CD-ROM, Prentice Hall Presentation Pro CD-ROM] which accompany textbook section12-4, 12-5







5. Estimate probabilities and make predictions based on experimental and theoretical probabilities.











6. Understand and use the “law of large numbers” (that experimental results tend to approach theoretical probabilities after a large number of trials).

SE/TE: 649-653, 654-658, 674-677, 679-681, 682; ASSESSMENT in SE/TE: 631, 633, 650-651










C. Discrete Mathematics Systematic Listing and Counting

1. Calculate combinations with replacement (e.g., the number of possible ways of tossing a coin 5 times and getting 3 heads) and without replacement (e.g., number of possible delegations of 3 out of 23 students).

SE/TE: 573, 654-658, 659-663, 664, 674-677, 679-681, 682; ASSESSMENT in SE/TE: 663, 677, 681



TECH: Technology Resources [(t) PH SuccessNet Teacher Center Web Site Internet Site, (u) Textbook Web Site www.PHSchool.com, (v) Computer Test Generator (CD-ROM), (w) Resource Pro with Planning Express (CD-ROM), (x) “I-Text” (Interactive text online and on CD-ROM, Prentice Hall Presentation Pro CD-ROM] which accompany textbook sections 12-6 12-9







2. Apply the multiplication rule of counting in complex situations, recognize the difference between situations with replacement and without replacement, and recognize the difference between ordered and unordered counting situations.

SE/TE: 573, 654-658, 659-663, 664, 674-677, 679-681, 682; ASSESSMENT in SE/TE: 663, 677, 681



TECH: Technology Resources [(t) PH SuccessNet Teacher Center Web Site Internet Site, (u) Textbook Web Site www.PHSchool.com, (v) Computer Test Generator (CD-ROM), (w) Resource Pro with Planning Express (CD-ROM), (x) “I-Text” (Interactive text online and on CD-ROM, Prentice Hall Presentation Pro CD-ROM] which accompany textbook sections 12-6 12-9







3. Justify solutions to counting problems. 92 4. Recognize and explain relationships involving

combinations and Pascal s Triangle, and apply those methods to situations involving probability.

SE/TE: 659-663, 664, 674-677, 679-681, 682; ASSESSMENT in SE/TE: 663, 677, 681










D. Discrete Mathematics Vertex-Edge Graphs and Algorithms

1. Use vertex-edge graphs and algorithmic thinking to represent and solve practical problems. • Circuits that include every edge in a

graph • Circuits that include every vertex in a

graph • Scheduling problems (e.g., when project

meetings should be scheduled to avoid conflicts) using graph coloring

• Applications to science (e.g., who-eats-whom graphs, genetic trees, molecular structures)

SE/TE: 197-200 TE Only: 198 TR: Teaching Resources [Grab and Go Chapter









2. Explore strategies for making fair decisions. • Combining individual preferences into a

group decision (e.g., determining winner of an election or selection process)

• Determining how many Student Council representatives each class (9th, 10th, 11th, and 12th grade) gets when the classes have unequal sizes (apportionment) 4.5 Mathematical Processes

SE/TE: 197-200, 659-663 TE Only: 198 TR: Teaching Resources [Grab and Go Chapter









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: 23, 96-101, 110, 122-123, 126, 127, 164-167, 174, 186, 197-200, 242, 243, 248, 259-263, 284-285, 305, 325, 334-337, 344-345, 362-365, 367, 394-395, 398, 352, 411, 423, 430-434, 454-455, 476-479, 480, 486, 518-519, 522, 532, 598-601, 608, 626-627, 630, 649, 654, 674-677, 684-685, 688, 694, 724-727, 736-737, 738, 739, 740, 741, 742

TR: Teaching Resources [Grab and Go Chapter Support Files (a) Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Chapter Projects, (g) Chapter Tests, (h) CumulativeReview & Cumulative Assessment, Presentation Assistant Plus (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Student Edition Answers on Transparencies, (l) Additional Examples on Transparencies, Prentice Hall Assessment System, (m) Computer Test Generator CD-ROM, (n) Algebra Readiness Tests, (0) Assessment Resources, (p) Content Diagnostic Tests, (q) Skills and Concepts Review, (r ) Test-Preparation Workbook, (s) Test-taking Strategies ]

TECH: Technology Resources [(t) PH SuccessNet Teacher Center Web Site Internet Site, (u) Textbook Web Site www.PHSchool.com, (v) Computer Test Generator (CD-ROM), (w) Resource Pro with Planning Express (CD-ROM), (x) “I-Text” (Interactive text online and on CD-ROM, Prentice Hall Presentation Pro CD-ROM]







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: 29, 84, 89, 96-101, 110, 150, 164-167, 174, 186, 197-200, 208, 215, 228-229, 242, 243, 248, 259-263, 284-285, 305, 325, 334-337, 344-345, 362-365, 367, 371, 394-395, 398, 352, 411, 423, 430-434, 454-455, 463, 526, 576-577, 584, 589, 598-601, 608, 626-627, 630, 649, 654, 674-677, 684-685, 688, 694, 697, 724-727, 736-737, 738, 739, 740, 741, 742, 743









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: 40-43, 62-63, 96-101, 122-123, 164-167, 197-200, 228-229, 259-263, 284-285, 334-337, 344-345, 362-365, 394-395, 398, 430-434, 454-455, 476-479, 486, 518-519, 522, 532, 562-565, 576-577, 584, 598-601, 626-627, 674-677, 684-685, 688, 724-727, 736-737,









4. Pose problems of various types and levels of difficulty.

SE/TE: 242, 243, 248, 259-263, 284-285, 305, 325, 334-337, 344-345, 362-365, 518-519, 522, 532, 562-565, 576-577, 584, 598-601, 608, 626-627, 630, 649, 654, 674-677, 684-685, 688









5. Monitor their progress and reflect on the process of their problem solving activity.

SE/TE: 23, 186, 197-200, 215, 228-229, 242, 243, 248, 259-263, 284-285, 305, 325, 334-337, 344-345, 362-365, 367, 394-395, 398, 352, 411, 423, 430-434, 454-455, 584, 598-601, 608, 626-627, 630, 649, 654, 674-677, 684-685, 688, 694, 724-727, 736-737, 738, 739









B. Communication

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

SE/TE: 96-101, 110, 122-123, 126, 127, 164-167, 174, 186, 197-200, 215, 228-229, 242, 243, 248, 259-263, 284-285, 305, 394-395, 398, 352, 411, 423, 430-434, 454-455, 476-479, 480, 486, 518-519, 522, 532, 562-565, 576-577, 584, 598-601, 608, 626-627, 630, 649, 654, 674-677, 740, 741, 742









2. Communicate their mathematical thinking coherently and clearly to peers, teachers, and others, both orally and in writing.

SE/TE: 40-43, 44, 127, 164-167, 174, 186, 197-200, 215, 228-229, 242, 243, 344-345, 362-365, 367, 394-395, 398, 352, 411, 423, 430-434, 480, 486, 518-519, 522, 532, 562-565, 576-577, 584, 598-601, 608, 626-627, 630, 649, 654, 674-677, 684-685, 688, 694









3. Analyze and evaluate the mathematical thinking and strategies of others.

SE/TE: 243, 248, 259-263, 284-285, 305, 325, 334-337, 344-345, 362-365, 367, 394-395, 398, 352, 411, 423, 430-434, 576-577, 584, 598-601, 608, 626-627, 630, 649, 654, 674-677, 684-685, 688









4. Use the language of mathematics to express mathematical ideas precisely.

SE/TE: 96-101, 110, 122-123, 126, 127, 164-167, 174, 186, 197-200, 215, 228-229, 242, 243, 248, 259-263, 284-285, 305, 325, 334-337, 344-345, 362-365, 367, 394-395, 398, 352, 411, 423, 430-434, 454-455, 476-479, 480, 486, 518-519, 522, 532, 562-565, 576-577, 584, 598-601, 608, 626-627, 630, 649, 654, 674-677, 684-685, 688, 694, 724-727, 736-737, 738, 739, 740, 741, 742, 743









C. Connections

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

SE/TE: 62-63, 71, 84, 164-167, 174, 186, 197-200, 215, 228-229, 242, 243, 248, 344-345, 362-365, 367, 394-395, 398, 352, 411, 423, 430-434, 454-455, 476-479, 480, 486, 518-519, 522, 584, 598-601, 608, 626-627, 630, 649, 654, 674-677,









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: 23, 40-43, 44, 62-63, 71, 84, 96-101, 110, 122-123, 126, 127, 164-167, 174, 186, 197-200, 215, 228-229, 242, 243, 248, 259-263, 284-285, 305, 325, 334-337, 344-345, 362-365, 367, 394-395, 398, 352, 411, 423, 430-434, 454-455, 476-479, 480, 486, 518-519, 522, 532, 562-565, 576-577, 584, 598-601, 608, 626-627, 630, 649, 654, 674-677, 684-685, 688, 694, 724-727, 736-737, 738, 739, 740, 741, 742, 743









3. Recognize that mathematics is used in a variety of contexts outside of mathematics.

SE/TE: 242, 243,, 367, 394-395, 398, 352, 411, 423, 430-434, 454-455, 476-479, 480, 486, 518-519, 522, 532, 562-565, 576-577, 584, 598-601, 608, 630, 649, 654, 674-677, 684-685, 688, 694, 724-727, 736-737, 738, 739, 740, 741, 742, 743









4. Apply mathematics in practical situations and in other disciplines.

SE/TE: 23,, 164-167, 174, 186, 197-200, 215, 228-229, 242, 243, 248, 394-395, 398, 352, 411, 423, 430-434, 454-455, 476-479, 480, 486, 518-519, 522, 532, 562-565, 576-577, 584, 688, 694, 724-727, 736-737, 738, 739, 740, 741, 742, 743









5. Trace the development of mathematical concepts over time and across cultures (cf. world languages and social studies standards).

SE/TE: 23, 40-43, 44, 186, 197-200, 215, 228-229, 242, 243, 248, 259-263, 284-285, 305, 325, 334-337, 344-345, 362-365, 367, 394-395, 398, 352, 411, 423, 430-434, 454-455, 584, 598-601, 608, 626-627, 630, 649, 654, 674-677, 684-685, 688, 694, 724-727, 736-737, 738, 739









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

SE/TE: 23, 40-43, 44, 62-63, 71, 84, 96-101, 110, 122-123, 126, 127, 164-167, 174, 186, 197-200, 215, 228-229, 242, 243, 248, 259-263, 284-285, 305, 325, 334-337, 344-345, 362-365, 367, 394-395, 398, 352, 411, 423, 430-434, 454-455, 476-479, 480, 486, 518-519, 522, 532, 562-565, 576-577, 584, 598-601, 608, 626-627, 630, 649, 654, 674-677, 684-685, 688, 694, 724-727, 736-737, 738, 739, 740, 741, 742, 743









D. Reasoning

1. Recognize that mathematical facts, procedures, and claims must be justified.

SE/TE: 35-39, 40-43, 44, 77-79, 108, 114 (# 46-48), 150 (# 17, 18), 284-285, 344-345, 369, 688-692, 693; ASSESSMENT in SE/TE: 39, 43, 59










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

SE/TE: 44, 62-63, 71, 84, 228-229, 242, 243, 248, 259-263, 284-285, 305, 325, 334-337, 344-345, 362-365, 367, 394-395, 398, 352, 411, 562-565, 576-577, 584, 598-601, 608, 626-627, 630, 649, 654, 674-677, 684-685,









2. Select and use various types of reasoning and methods of proof.

SE/TE: 28, 33, 42, 44, 48, 54, 62-63, 71, 75, 84, 94, 171, 185,228-229, 242, 243, 248, 259-263, 284-285, 305, 325, 334-337, 344-345, 362-365, 367, 394-395, 398, 352, 411, 562-565, 576-577, 584, 598-601, 608, 626-627, 630, 649, 654, 674-677, 684-685,









4. Rely on reasoning, rather than answer keys, teachers, or peers, to check the correctness of their problem solutions.

SE/TE: 127, 164-167, 174, 186, 197-200, 215, 228-229, 242, 243, 248, 398, 352, 411, 423, 430-434, 454-455, 476-479, 480, 486, 518-519, 522, 532, 562-565, 576-577, 584, 598-601, 608, 626-627, 630, 649, 654, 674-677, 684-685, 688









5. Make and investigate mathematical conjectures. • Counterexamples as a means of

disproving conjectures • Verifying conjectures using informal

reasoning or proofs.

SE/TE: 23,, 84, 96-101, 110, 122-123, 126, 127, 164-167, 174, 186, 197-200, 215, 228-229, 242, 243, 248, 259-263, 284-285, 423, 430-434, 454-455, 476-479, 480, 486, 518-519, 522, 532, 562-565, 576-577, 584, 598-601, 608, 626-627,









6. Evaluate examples of mathematical reasoning and determine whether they are valid.

SE/TE: 127, 164-167, 174, 186, 197-200, 215, 228-229, 242, 243, 248, 259-263, 284-285, 305, 325, 334-337, 344-345, 362-365, 367, 394-395, 398, 352, 411, 423, 430-434, 454-455, 476-479, 480, 486, 518-519, 736-737, 738, 739, 740, 741, 742, 743









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) • Symbolic representations (e.g., a formula) • Graphical representations (e.g., a line

graph)


TE Only: 636-637, 643-644, 650-651, 655-656, 660-661, 663, 666









2. Select, apply, and translate among mathematical representations to solve problems.

SE/TE: 86-90, 92-95, 100-101, 102-105, 106-109, 110-114, 122-123, 143-146, 147, 148-151, 152-155, 209, 320-323, 348-351, 352-356, 357-361, 362-365, 366, 367-371, 372, 373-376, 379-381, 387, 417, 435-440, 447, 694-697, 698, 703, 745, 746, 749, 750; ASSESSMENT in SE/TE: 90, 95, 99, 105, 109, 114, 116, 131, 146, 151, 169-171, 172, 190, 323, 332, 339-341, 342, 343, 351, 356, 361, 370-371, 376, 381, 439, 452

TE Only: 87-88, 93, 95, 103, 105, 107, 111-112, 144, 149, 151, 153, 321, 323, 368, 371, 374, 379, 436-437









3. Use representations to model and interpret physical, social, and mathematical phenomena.

SE/TE: 400-404, 406-409, 411-416, 421, 423-428, 430-433, 688-692, 693, 694-697, 751; ASSESSMENT in SE/TE: 404, 409, 416, 428, 433, 697


Support Files (a) Practice, (b) Reteaching, (c) Enrichment, (d) Checkpoint Quizzes, (e) Alternative Assessment, (f) Chapter Projects, (g) Chapter Tests, (h) CumulativeReview & Cumulative Assessment, Presentation Assistant Plus (i) Classroom Aid Transparencies (j) Daily Skills and Lesson Quiz Transparencies, (k) Student Edition Answers on Transparencies, (l) Additional Examples on Transparencies, Prentice Hall Assessment System, (m) Computer Test Generator CD-ROM, (n) Algebra Readiness Tests, (0) Assessment Resources, (p) Content Diagnostic Tests, (q) Skills and Concepts Review, (r ) Test-Preparation Workbook, (s) Test-taking Strategies ] which accompany textbook sections 8-1, 8-2, 8-3, 8-4, 8-5, 8-6, 13-1,13-2

TECH: Technology Resources [(t) PH SuccessNet Teacher Center Web Site Internet Site, (u) Textbook Web Site www.PHSchool.com, (v) Computer Test Generator (CD-ROM), (w) Resource Pro with Planning Express (CD-ROM), (x) “I-Text” (Interactive text online and on CD-ROM, Prentice Hall Presentation Pro CD-ROM] which accompany textbook sections 8-1, 8-2, 8-3, 8-4, 8-5, 8-6, 13-1,13-2

F. Technology

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

SE/TE: 9, 55, 100, 142, 147, 209, 221, 238, 304, 333, 384, 387, 407, 447, 496, 585, 609, 613, 634, 661, 673, 693, 703









2. Use computer spreadsheets, software, and graphing utilities to organize and display quantitative information.

SE/TE: 55, 100, 142, 147, 209, 333, 387, 407, 634, 661, 693, 703


3. Use graphing calculators and computer

software to investigate properties of functions and their graphs.

SE/TE: 55, 142, 209, 333, 407, 634, 661, 693, 703 TECH: Technology Resources [(t) PH SuccessNet

Teacher Center Web Site Internet Site, (u) Textbook Web Site www.PHSchool.com, (v) Computer Test Generator (CD-ROM), (w) Resource Pro with Planning Express (CD-ROM), (x) “I-Text” (Interactive text online and on CD-ROM, Prentice Hall Presentation Pro CD-ROM]

4. Use calculators as problem-solving tools (e.g.,

to explore patterns, to validate solutions).

SE/TE: 9, 55, 142, 209, 221, 238, 333, 384, 407, 447, 585, 609, 613, 634, 661, 673, 693, 703


5. Use computer software to make and verify

conjectures about geometric objects.

SE/TE: 304, 496 TE Only: 304, 496 TECH: Technology Resources [(t) PH SuccessNet











6. Use computer-based laboratory technology for mathematical applications in the sciences.

SE/TE: 100, 147, 387 TECH: Technology Resources [(t) PH SuccessNet




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