MISSOURI S FRAMEWORK FOR CURRICULAR DEVELOPMENT IN MATH TOPIC I: PROBLEM SOLVING

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1 Prentice Hall Mathematics:,, 2004 Missouri s Framework for Curricular Development in Mathematics (Grades 9-12) TOPIC I: PROBLEM SOLVING 1. Problem-solving strategies such as organizing data, drawing a picture, looking for a pattern, modeling, researching, and algebraic strategies 2. Computational strategies for the set of real numbers SE/TE: 5 8, 37, 42, 43, 89, 96, 103, 104, 173, 185, 193, 194, 196, 209, 250, , 306, 308, 325, 350, 352, 366, 376, 394, 397, 411, 426, 479, 489, 521, 522, 538, 584, 621, Problem Solving Hints 9, 103, 113, 138, 149, 194, 223, 266, 316, 328, 358, 375, 427, 469, 497, 511, 527, 579 Reading Math 16, 87, 152, 203, 260, 310, 369, 473, 613, 678 SE/TE: 4, 6, 7, 9, 10, 16, 61, 74, 95, 109, 338, 365, 428, 489, , 597, 663, Reading Math 11, 12, 18, 20, 25, 27, 44, 53, 71, 75, 80, 83, 93, 115, 117, 127, 133, 136, 145, 188, 191, 204, 207, 210, 257, 262, 264, 268, 289, 294, 299, 334, 349, 362, 374, 402, 416, 427, 446, 470, 478, 485, 512, 520, 582, 586, 595, 634, 667 SE/TE: , Reading Math 5, 7, 8, 12, 18, 27, 57, 58, 64, 72, 91, 118, 121, 135, 164, 188, 214, 218, 278, 282, 310, 325, 336, 364, 393, 396, 425, 435, 447, 462, 479, 485, 491, 521, 540, 562, 594, 603, 617, 648, 668, 698, 720, 765, 770, 779 TE: 2A-2F SE/TE: 2-58 SE/TE:

2 Prentice Hall Mathematics:,, Models, calculators, computers, charts, graphs, etc. may be used as problem-solving tools. 4. Mathematical problem-solving strategies can apply to all disciplines and real-world problems. SE/TE: 96, 100, 144, 207, 215, 218, 223, 298, 306, 334, 338, 344, 365, 403, 409, 415, 456, 526, 543, 564, 583, 621, , 682, 697, SE/TE: 7,41, 44, 50, 52, 57, 59, 114, 142, , 171, 270, 311, 319, 353, 368, 386, 390, 401, 406, 476, 478, 498, 502, 520, 538, 554, 559, 565, 584, 603, 606, 661, SE/TE: 6, 25, 78 80, 82, 85, , 122, 130, 131, 236, 240, 253, 302, 396, 407, 440, 452, 461, 484, 513, 545, 551, 577, 622, 685, 724, 751, 777 TE. Connections to other disciplines 22, 26, 33, 39, 83, 122, 183, 207, 265, 306, 321, 378, 401, 409, 464, 520, 532, 555, 585, 602, 604, 622, 654, 680 SE/TE: 5, 14, 29, 35, 51, 53, 64, 94, 99, 113, 122, 130, 143, 148, 157, 159, 162, 165, 170, 184, 187, 193, 205, 255, 258, 286, 297, 302, 344, 349, 358, 373, 401, 418, 443, 460, 470, 521, 574, 579, 588, 595, 602, 623, 649, 660, 700 TE. Connections to other disciplines 21, 36, 42, 70, 71, 83, 97, 101, 127, 144, 189, 206, 221, 238, 268, 298, 321, 329, 344, 381, 394, 425, 431, 436, 450, 466, 486, 492, 541, 548, 562, 569, 663, 688 TE. Connections to Real World 3, 67, 113, 241, 287, 347, 415, 469, 511, 581 SE/TE: 8, 21, 40, 73, 84, 110, 111, 116, 127, 185, 206, 224, 238, 239, 247, 252, 274, 336, 344, 345, 370, 466, 467, 479, 503, 548, 578, 579, 587, 611, 664, 688, 689 TE: Connections to other disciplines 36, 73, 112, 117, 198, 230, 244, 264, 316, 358, 371, 433, 454, 474, 502, 560, 589, 616, 653, 717, 743 SE/TE: 13, 41, 58, 61, 78, 112, 117, 131, 138, 175, 214, 222, 230, 243, 264, 325, 343, 358, 386, 405, 432, 474, 479, 509, 575, 616, 637, 692, 700, 774, 798 Algebra at Work 24, 77, 147, 247, 320, 406, 525, 669, 799 A Point in Time 207, 467, 541, 605, 702 2

3 Prentice Hall Mathematics:,, Use estimation to determine the reasonableness of results (QCC,STAN) (6MA_A2001-5) a. Use problem-solving strategies to investigate and understand mathematical content (NCTM Standard 1; MO 1.6, 3.5) b. Recognize and formulate problems from situations within and outside mathematics (NCTM Standard 1; MO 3.1, 3.5) SE/TE: 5, 14, 29, 35, 51, 53, 64, 94, 99, 113, 122, 130, 143, 148, 157, 159, 162, 165, 170, 184, 187, 193, 205, 215, 232, 244, 248, 250, 255, 258, 265, 286, 297, 302, 344, 349, 358, 373, 401, 418, 443, 460, 470, 521, 541, 574, 579, 588, 595, 602, 623, 649, 660, 700 SE/TE: 31, 32, 56, 383, 458, 532, 547 SE/TE: 168, 238, 628, 701, 727, 746, 747 Every chapter contains writing, critical thinking, reasoning and error analysis problem solving exercises SE/TE: Check for reasonableness 76, 82, 97, 99, 154, 349, 354, 537, 563, 673 Justifying Steps 56, 57, 83, 84, 126, 173 SE/TE: SE/TE: Justify Steps 16, 30 TE: Connections to Math 12, 22, 75, 157, 164, 188, 191, 194, 265, 272, 293, 317, 382, 409, 470, 497, 550, 610, 645 TE. Connections to other disciplines 22, 26, 33, 39, 83, 122, 183, 207, 265, 306, 321, 378, 401, 409, 464, 520, 532, 555, 585, 602, 604, 622, 654, 680 SE/TE: 5, 14, 29, 35, 51, 53, 64, 94, 99, 113, 122, 130, 143, 148, 157, 159, 162, 165, 170, 184, 187, 193, 205, 255, 258, 286, 297, 302, 344, 349, 358, 373, 401, 418, 443, 460, 470, 521, 574, 579, 588, 595, 602, 623, 649, 660, 700 3

4 Prentice Hall Mathematics:,, 2004 (Continued) b. Recognize and formulate problems from situations within and outside mathematics (NCTM Standard 1; MO 3.1, 3.5) c. Organize, develop, and apply integrated mathematical problem-solving strategies to solve problems within and outside mathematics (NCTM Standard 1; MO 3.2,3.) d. Apply the process of mathematical modeling to real-world problem situations (NCTM Standard 1; MO 2.1, 3.6) (Continued) TE. Connections to other disciplines 21, 36, 42, 70, 71, 83, 97, 101, 127, 144, 189, 206, 221, 238, 268, 298, 321, 329, 344, 381, 394, 425, 431, 436, 450, 466, 486, 492, 541, 548, 562, 569, 663, 688 at Work 40, 185, 279, 503, 557, 613 TE: Connections to Math 3, 23, 31, 38, 45, 119, 134, 389, 403, 456, 501, 530, 536, 547, 555, 562, 587, TE: Connections to Math 41, 82, 143, 179, 265, 272, 301, 396, 552, 558, 703, 725, 751, 781, 790 TE: Connections to other disciplines 36, 73, 112, 117, 198, 230, 244, 264, 316, 358, 371, 433, 454, 474, 502, 560, 589, 616, 653, 717, 743 SE/TE: 13, 41, 58, 61, 78, 112, 117, 131, 138, 175, 214, 222, 230, 243, 264, 325, 343, 358, 386, 405, 432, 474, 479, 509, 575, 616, 637, 692, 700, 774, 798 Algebra at Work 24, 77, 147, 247, 320, 406, 525, 669, 799 A Point in Time 207, 467, 541, 605, 702 SE/TE: SE/TE: SE/TE: TE: 2D, 72D, 132D, 180D, 234D, 280D, 338D, 392D, 454D, 508D, 576D, 634D SE/TE: 130, 131, 232, 233, 336, 337, 452, 453, 574, 575, 700, 701 TE: 66D, 178D, 286D, 414D, 570D, 632D SE/TE: 110, 111, 238, 239, 344, 345, 466, 467, 578, 579, 688, 689 TE: 2D, 52D, 114D, 162D, 232D, 298D, 360D, 420D, 476D, 532D, 586D, 634D, 694D, 762D SE/TE: 112, 113, 230, 231, 358, 359, 474, 475 4

5 Prentice Hall Mathematics:,, 2004 e. Analyze, evaluate, and reflect upon the process(es) used in solving problems (NCTM Standard 1; MO 2.2, 3.4, 3.6, 3.7, 3.8),, Every chapter contains writing, critical thinking, reasoning and error analysis problem solving exercises SE/TE: SE/TE: SE/TE: TOPIC II: COMMUNICATION 1. The language of mathematics may be used through reading, writing, listening, and speaking. 2. Mathematical ideas may be represented with visual models. 3. Mathematical symbols may be used to represent a variety of situations.,, Every chapter explores reading math, understanding vocabulary and reading comprehension. Every chapter contains reading, writing, open-ended and short response exercises,, Every chapter contains examples and exercises with models to represent mathematical ideas SE/TE: Reading Math 4, 5, 18, 19, 40, 75, 85, 90, 106, 134, 135, 141, 150, 161, 184, 201, 211, 212, 243, 257, 262, 268, 284, 305, 307, 342, 347, 359, 395, 443, 457, 470, 524, 548, 580, 584, 637, 673 SE/TE: 4, 6, 7, 9, 10, 16, 61, 74, 95, 109, 338, 365, 428, 489, , 597, 663, Reading Math 11, 12, 18, 20, 25, 27, 44, 53, 71, 75, 80, 83, 93, 115, 117, 127, 133, 136, 145, 188, 191, 204, 207, 210, 257, 262, 264, 268, 289, 294, 299, 334, 349, 362, 374, 402, 416, 427, 446, 470, 478, 485, 512, 520, 582, 586, 595, 634, 667 Reading Math 5, 7, 8, 12, 18, 27, 57, 58, 64, 72, 91, 118, 121, 135, 164, 188, 214, 218, 229, 278, 282, 310, 325, 336, 364, 393, 396, 425, 435, 447, 462, 479, 485, 491, 521, 540, 562, 594, 603, 617, 648, 668, 698, 720, 765, 770, 779 5

6 Prentice Hall Mathematics:,, Information may be organized in a variety of ways. SE/TE: 4 8, 17 23, 59 65, , , , , , , SE/TE: 4 9, 57, 68 88, 406, 502, SE/TE: , , , , , a. Reflect upon and clarify thinking about mathematical ideas and relationships (NCTM Standard 2; MO 1.6, 2.2) b. Interpret generalizations discovered through investigations to formulate, revise, and adjust mathematical definitions (NCTM Standard 2; MO 1.2, 1.7, 2.2) c. Visualize mathematical ideas by reading about, listening to, or viewing concrete models (NCTM Standard 2; MO 1.9, 2.4),, Every chapter contains writing, critical thinking, reasoning and error analysis problem solving exercises SE/TE: 9, 37, 46, 95, 96, 111, 146, 196, 210, 219, 247, 261, 262, 298, 346, 394, 411, 456, 466, 474, 480, 510, 529, 584, 621, 636 SE/TE: Investigation 11, 42, 51, 76, 97, 132, 187, 195, 244, 257, 287, 327, 349, 374, 433, 455, 471, 552, 583, 648 SE/TE: 10, 42, 51, 76, 131, 145, 186, 194, 210, 243, 256, 326, 348, 356, 373, 395, 439, 454, 470, 544, 551, 582, 647 SE/TE: Investigations 4, 11, 39, 64, 116, 135, 180, 187, 248, 255, 300, 335, 388, 446, 511, 519, 534, 562, 570, 600, 607, 613, 671, 706, 711, 764 TE: 2D, 72D, 132D, 180D, 234D, 280D, 338D, 392D, 454D, 508D, 576D, 634D SE/TE: 16, 71, 87, 130, 131, 179, 202, 203, 232, 233, 260, 275, 279, 310, 336, 337, 369, 391, 444, 452, 453, 507, 613, 633, 700, 701 TE: 2D, 66D, 112D, 178D, 240D, 286D, 346D, 414D, 468D, 510D, 580D, 632D SE/TE: 61 63, 65, , , 177, , , 285, 309, , , 413, , , 509, 563, , , 631, 651,

7 Prentice Hall Mathematics:,, 2004 (Continued) c. Visualize mathematical ideas by reading about, listening to, or viewing concrete models (NCTM Standard 2; MO 1.9, 2.4) d. Plan and create effective verbal and non-verbal forms of communicating mathematics for a variety of purposes and audiences (NCTM Standard 2; MO 2.1) e. Present mathematical ideas and logical justifications, both written and oral (NCTM Standard 2; MO 2.1, 3.5, 4.1) f. Ask clarifying and extending questions about the mathematics read about, heard about, or viewed through models (NCTM Standard 2; MO 2.3) g. Recognize the economy, power, and elegance of mathematics notation and its role in the development of mathematical ideas (NCTM Standard 2; MO 1.6, 1.9, 2.4) (Continued) TE: 27, 28, 64, 136, 156, 165, 180, 243, 252, 286, 316, 328, 376, 440, 445, 486, 544, 601, 620, 679, 698, 716, 730, 750, 771 SE/TE: 45, 47 49, 84, , 112, , 161, , 230, , 297, , 358, , 419, , 474, , 531, , , 633, , , 761, ,, Every chapter contains writing and oral response problem solving exercises Every chapter contains writing, open-ended, error analysis and critical thinking problem solving exercises SE/TE: 71, 130, 131, 179, 202, 232, 233, 279, 336, 337, 391, 444, 452, 453, 552, 574, 575, 663, 700, 701 SE/TE: 65, 177, 285, 309, 413, 509, 563, 631, 651 SE/TE: 45, 51, 78 80, 84, 161, 207, 240, 297, 302, 308, 419, 467, 513, 514, 531, 541, 605, 633, 702, 724, 761 Algebra at work 24, 77, 147, 247, 320, 406, 525, 669, 799 A Point in Time 207, 467, 541, 605, 702 Reading Math 75, 85, 90, 106, 125, 134, 135, 141, 175, 184, 201, 227, 243, 262, 275, 284, 305, 331, 342, 347, 366, 387, 395, 443, 447, 457, 503, 524, 569, 580, 584, 629 Reading Math 11, 12, 18, 20, 25, 27, 44, 53, 71, 75, 80, 83, 93, 115, 117, 127, 133, 136, 145, 188, 191, 204, 207, 210, 257, 262, 264, 268, 289, 294, 299, 334, 349, 362, 374, 402, 416, 427, 446, 470, 478, 485, 512, 520, 582, 586, 595, 634, 667 7

8 Prentice Hall Mathematics:,, 2004 (Continued) g. Recognize the economy, power, and elegance of mathematics notation and its role in the development of mathematical ideas (NCTM Standard 2; MO 1.6, 1.9, 2.4) h. Read, write, and talk about mathematical ideas as they relate to real-life applications and multiple workplace situations (NCTM Standard 2; MO 1.10, 2.6, 3.2, 4.8) (Continued) Reading Math 5, 7, 8, 12, 18, 27, 57, 58, 64, 72, 91, 118, 121, 135, 164, 188, 214, 218, 278, 282, 310, 325, 336, 364, 393, 396, 425, 435, 447, 462, 479, 485, 491, 521, 540, 562, 594, 603, 617, 648, 668, 698, 720, 765, 770, 779 SE/TE: 51, 71, 99, 122, 130, 131, 148, 170, 179, 193, 202, 232, 233, 279, 308, 322, 336, 337, 349, 363, 391, 443, 444, 452, 453, 460, 552, 574, 575, 617, 660, 663, 700, 701 SE/TE: 7, 65, 73, 82, 127, 155, 177, 195, 247, 252, 285, 307, 309, 368, 390, 413, 456, 471, 486, 509, 516, 563, 568, 603, 625, 645, 651, 678 SE/TE: 13, 41, 58, 61, 78, 112, 117, 131, 138, 175, 214, 222, 230, 243, 264, 325, 343, 358, 386, 405, 432, 474, 479, 509, 575, 616, 637, 692, 700, 774, 798 Algebra at Work 24, 77, 147, 247, 320, 406, 525, 669, 799 A Point in Time 207, 467, 541, 605, 702 TOPIC III: REASONING 1. Information may be organized in a variety of forms to look for patterns and relationships. TE: 234A 234F SE/TE: 37, 42, 43, 96, 185, 187, 209, , 306, 308, 318, 319, 325, 394, 397, 411, 428, 429, 434, 584, 621, 665, 716 SE/TE: 4 9, 68 88, 406, 502, , TE: 586A 586F SE/TE: ,

9 Prentice Hall Mathematics:,, Results may be justified. SE/TE: Make a conjecture 22, 37, 43, 251, 411, 643, 651 Error Analysis 29, 79, 92, 137, 158, 193, 245, 288, 302, 374, 459, 493, 504, 557, 604, 655 Justifying Steps 56, 57, 83, 84, 126, 173 SE/TE: Error Analysis 8, 72, 93, 120, 148, 155, 191, 252, 268, 277, 292, 299, 370, 420, 457, 479, 494, 595, 612, 678, Make a Conjecture 15, 39, 57, 59, 169, 202, 252, 253, 401, 532, 536, 602 SE/TE: Make a conjecture 186, 201, 277, 313, 334, 413, 446, 539, 562, 567, 599, 613, 705, 755, 764, 778 Error Analysis 17, 30, 76, 146, 154, 200, 246, 260, 318, 333, 383, 442, 502, 553, 560, 596, 618, 717, 775 Justify Steps 16, Geometric and number properties. SE/TE: 38, 40, 47 58, 67 69, 173 SE/TE: 89 92, , , 187, , , 290, , 327, , 461, 582 SE/TE: 4 24, 170, 171, The process of inductive reasoning. SE/TE: , SE/TE: 4 9, 61, The process of deductive reasoning. SE/TE: 56, 57, 83, 84, 173 SE/TE: 82 94, 103, 106 9

10 Prentice Hall Mathematics:,, 2004 a. Make and test conjectures (NCTM Standard 3; MO 1.7) b. Defend the validity of their conclusions using mathematical strategies (NCTM Standard 3; MO 3.4, 3.7, 3.8, 4.1) c. Follow the mathematical reasoning of others and determine validity (NCTM Standard 3; MO 1.5, 2.3) SE/TE: Make a conjecture 22, 37, 43, 251, 411, 643, 651 Error Analysis 29, 79, 92, 137, 158, 193, 245, 288, 302, 374, 459, 493, 504, 557, 604, 655 Every chapter contains open-ended responses and critical thinking problem solving exercises SE/TE: Error Analysis 8, 72, 93, 120, 148, 155, 191, 252, 268, 277, 292, 299, 370, 420, 457, 479, 494, 595, 612, 678, Make a Conjecture 15, 39, 57, 59, 169, 202, 252, 253, 401, 532, 536, 602 SE/TE: Make a conjecture 186, 201, 277, 313, 334, 413, 446, 539, 562, 567, 599, 613, 705, 755, 764, 778 Error Analysis 17, 30, 76, 146, 154, 200, 246, 260, 318, 333, 383, 442, 502, 553, 560, 596, 618, 717, 775 Justify Steps 16, 30 Every chapter contains error analysis and reasoning problem solving exercises SE/TE: Justify steps 56, 57, 83, 84, 126, 173 SE/TE: SE/TE: Make a conjecture 22, 37, 43, 251, 411, 643, 651 Error Analysis 29, 79, 92, 137, 158, 193, 245, 288, 302, 374, 459, 493, 504, 557, 604, 655 Justifying Steps 56, 57, 83, 84, 126, 173 SE/TE: Error Analysis 8, 72, 93, 120, 148, 155, 191, 252, 268, 277, 292, 299, 370, 420, 457, 479, 494, 595, 612, 678, Make a Conjecture 15, 39, 57, 59, 169, 202, 252, 253, 401, 532, 536,

11 Prentice Hall Mathematics:,, 2004 (Continued) c. Follow the mathematical reasoning of others and determine validity (NCTM Standard 3; MO 1.5, 2.3) d. Apply inductive and deductive reasoning (NCTM Standard 3; MO 3.5) (Continued) SE/TE: Make a conjecture 186, 201, 277, 313, 334, 413, 446, 539, 562, 567, 599, 613, 705, 755, 764, 778 Error Analysis 17, 30, 76, 146, 154, 200, 246, 260, 318, 333, 383, 442, 502, 553, 560, 596, 618, 717, 775 Justify Steps 16, 30 SE/TE: 56, 57, 83, 84, 173, , SE/TE: 4 9, 61, 82 94, 103, 106, 145 TOPIC IV: CONNECTIONS 1. Problems may be looked at in more than one way.,, Every chapter contains examples showing how to solve problems in more than one way 2. Mathematics is used in other subject areas. TE: Connections to Math 12, 22, 75, 157, 164, 188, 191, 194, 265, 272, 293, 317, 382, 409, 470, 497, 550, 610, 645 TE. Connections to other disciplines 22, 26, 33, 39, 83, 122, 183, 207, 265, 306, 321, 378, 401, 409, 464, 520, 532, 555, 585, 602, 604, 622, 654, 680 SE/TE: 5, 14, 29, 35, 51, 53, 64, 94, 99, 113, 122, 130, 143, 148, 157, 159, 162, 165, 170, 184, 187, 193, 205, 255, 258, 286, 297, 302, 344, 349, 358, 373, 401, 418, 443, 460, 470, 521, 574, 579, 588, 595, 602, 623, 649, 660, 700 TE. Connections to other disciplines 21, 36, 42, 70, 71, 83, 97, 101, 127, 144, 189, 206, 221, 238, 268, 298, 321, 329, 344, 381, 394, 425, 431, 436, 450, 466, 486, 492, 541, 548, 562, 569, 663, 688 at Work 40, 185, 279, 503, 557, 613 TE: Connections to Math 3, 23, 31, 38, 45, 119, 134, 389, 403, 456, 501, 530, 536, 547, 555, 562, 587, 11

12 Prentice Hall Mathematics:,, 2004 (Continued) 2. Mathematics is used in other subject areas. (Continued) TE: Connections to Math 41, 82, 143, 179, 265, 272, 301, 396, 552, 558, 703, 725, 751, 781, 790 TE: Connections to other disciplines 36, 73, 112, 117, 198, 230, 244, 264, 316, 358, 371, 433, 454, 474, 502, 560, 589, 616, 653, 717, 743 SE/TE: 13, 41, 58, 61, 78, 112, 117, 131, 138, 175, 214, 222, 230, 243, 264, 325, 343, 358, 386, 405, 432, 474, 479, 509, 575, 616, 637, 692, 700, 774, 798 Algebra at Work 24, 77, 147, 247, 320, 406, 525, 669, 799 A Point in Time 207, 467, 541, 605, Mathematics is used in the real world. TE: 2D, 72D, 132D, 180D, 234D, 280D, 338D, 392D, 454D, 508D, 576D, 634D SE/TE: 5, 14, 29, 35, 51, 53, 64, 94, 99, 113, 122, 130, 143, 148, 157, 159, 162, 165, 170, 184, 187, 193, 205, 255, 258, 286, 297, 302, 344, 349, 358, 373, 401, 418, 443, 460, 470, 521, 574, 579, 588, 595, 602, 623, 649, 660, 700 Math in the media 21, 30, 79, 202, 404, 444, 527, 551, 552, 641 Algebra at work 94, 159, 224, 368, 416, 606, 671 SE/TE: 8, 21, 40, 73, 84, 110, 111, 116, 127, 185, 206, 224, 238, 239, 247, 252, 274, 336, 344, 345, 370, 466, 467, 479, 503, 548, 578, 579, 587, 611, 664, 688, 689 at work 40, 185, 270, 503, 557, 613 SE/TE: 13, 41, 58, 61, 78, 112, 117, 131, 138, 175, 214, 222, 230, 243, 264, 325, 343, 358, 386, 405, 432, 474, 479, 509, 575, 616, 637, 692, 700, 774, 798 Algebra at Work 24, 77, 147, 247, 320, 406, 525, 669, 799 A Point in Time 207, 467, 541, 605,

13 Prentice Hall Mathematics:,, 2004 a. Recognize and/or derive equivalent representations for a concept (NCTM Standard 4; MO 1.6) b. Analyze and relate procedures in multiple representations (NCTM Standard 4; MO 1.5, 3.6) c. Relate and describe the connections within topics of mathematics and other disciplines (NCTM Standard 4; MO 1.6, 1.8, 1.10) d. Investigate and determine the importance of mathematics in their lives, future careers, and our ever-changing global society (NCTM Standard 4; MO 4.1,4.2,4.3,4.4,4.5,4.6,4.7,4.8) SE/TE: , , SE/TE: , SE/TE: 18 38, 86 90, , , , , TE: 234A 234F, 280A 280F SE/TE: SE/TE: 40, 49, 54, 78 80, 86, 108, , 236, 240, 302, 308, 513, 514, 545, 551, 638, 639, , 724, 858 TE: 12, 22, 3, 39, 75, 83, 122, 157, 164, 183, 188, 191, 207, 165, 293, 306, 378, 409, 470, 520, 550, 585, 602, 610, 654, 680 SE/TE: 5, 8, 14, 29, 42, 51, 100, 103, 162, 164, 179, 245, 277, 288, 296, 309, 349, 358, 366, 408, 409, 428, 442, 500, 532, 538, 562, 564, 594, 602, 604, 632, 665 TE: 3, 21, 23, 28, 36, 38, 42, 59, 70, 76, 83, 97, 101, 119, 136, 140, 147, 150, 189, 199, 206, 221, 238, 245, 268, 290, 321, 333, 352, 389, 396, 442, 450, 486, 501, 548, 555, 562, 587, 611, 637, 688 SE/TE: 8, 21, 40, 84, 85, 206, 224, 269, 270, 329, 336, 503, 538, 557, 611, 613 TE: Connections to Math 41, 82, 143, 179, 265, 272, 301, 396, 552, 558, 703, 725, 751, 781, 790 TE: Connections to other disciplines 36, 73, 112, 117, 198, 230, 244, 264, 316, 358, 371, 433, 454, 474, 502, 560, 589, 616, 653, 717, 743 SE/TE: 5, 14, 29, 35, 51, 53, 64, 94, 99, 113, 122, 130, 143, 148, 157, 159, 162, 165, 170, 184, 187, 193, 205, 255, 258, 286, 297, 302, 344, 349, 358, 373, 401, 418, 443, 460, 470, 521, 574, 579, 588, 595, 602, 623, 649, 660,

14 Prentice Hall Mathematics:,, 2004 (Continued) d. Investigate and determine the importance of mathematics in their lives, future careers, and our ever-changing global society (NCTM Standard 4; MO 4.1,4.2,4.3,4.4,4.5,4.6,4.7,4.8) e. Evaluate the logic and aesthetics of mathematics as they relate to the universe (NCTM Standard 4; MO 1.10, 2.4) (Continued) SE/TE: 8, 21, 40, 73, 84, 110, 111, 116, 127, 185, 206, 224, 238, 239, 247, 252, 274, 336, 344, 345, 370, 466, 467, 479, 503, 548, 578, 579, 587, 611, 664, 688, 689 SE/TE: 13, 41, 58, 61, 78, 112, 117, 131, 138, 175, 214, 222, 230, 243, 264, 325, 343, 358, 386, 405, 432, 474, 479, 509, 575, 616, 637, 692, 700, 774, 798 Algebra at Work 24, 77, 147, 247, 320, 406, 525, 669, 799 A Point in Time 207, 467, 541, 605, 702 SE/TE: 8, 22, 29, 127, 130, 162, 164, 194, 229, 245, 264, 265, 277, 287, 309, 366, 401, 404, 407, 408, 409, 413, 422, 428, 433, 435, 440, 442, 448, 450, 489, 527, 603, 671 SE/TE: 38, 84, 116, 224, 327, 336, 383, 390, 466, 467, 481, 486, 548, 587 SE/TE: 21, 37, 138, 214, 236, 386, 405, 463, 545, 584, 585, 715, 745, 774 TOPIC V: NUMBER SENSE 1. Addition, subtraction, multiplication, and division with real numbers. 2 Numbers and their relationships can be represented in multiple forms. TE: 2A 2F SE/TE: 9 58 SE/TE: 4 24 TE: 2A 2F SE/TE: 9 58 SE/TE: 4 24, The appropriate use of technology.,, Every chapter contains examples and exercises to incorporate technology as a problem solving tool 14

15 Prentice Hall Mathematics:,, Data can be organized in many forms. SE/TE: 4 8, 17 23, 37, 59 65, , SE/TE: 4 9, 57, 68 88, 406, 552 SE/TE: 62 77, , , , a. Develop, analyze, and explain procedures used for representing and analyzing relationships in tables, verbal rules, equations, and graphs (NCTM Standards 5 and 6; MO 1.6, 1.8, 1.10, 2.6) b. Analyze the effects of parameter changes on the graphs of functions (NCTM Standards 5 and 6; MO 1.6, 3.6, 4.1, 4.7) c. Analyze and describe relationships and the resulting effects between changes in an independent variable and a dependent variable (NCTM Standards 5 and 6; MO 1.6, 3.3, 4.1) SE/TE: 4 8, 17 23, 59 65, , , , , , , , SE/TE: , 171, 422, SE/TE: 18 38, 55 89, , , , , , SE/TE: , , , 567, , SE/TE: , 422, SE/TE: 78 98, , , , , TE: 234A 234F, 280A 280F SE/TE: , 282, 301, , , SE/TE: , 615, 620 SE/TE: 62 95, TOPIC VI: GEOMETRIC AND SPATIAL SENSE 1. Structures of geometric measurement systems. SE/TE: 25 33, 118, 119, , , , Properties and relationships of two-and threedimensional shapes. TE: 346A 346F, 510A 510F SE/TE: 48, 222, , , ,

16 Prentice Hall Mathematics:,, Geometric shapes can be used to describe the real world. a. Interpret and draw three-dimensional objects (NCTM Standard 7; MO 1.5, 1.9, 2.7) b. Represent and solve problem situations with geometric models and apply properties of figures (NCTM Standard 7; MO 1.5, 1.9, 2.7) c. Classify figures in terms of congruence and similarity and apply these relationships (NCTM Standard 7; MO 1.1, 1.4, 1.6, 3.5) d. Deduce properties of, and relationships between, figures from given assumptions (NCTM Standard 7; MO 1.6, 1.8, 2.4, 3.5) e. Translate between synthetic and coordinate representations using a variety of methods and technologies (NCTM Standard 8; MO 1.4, 2.7) SE/TE: 9, 14, 15, 51, 63, 64, 70, 75, 79, 85, 92, 98, 100, 108, 111, 114, 156, 158, 179, 190, 215, 288, 302, 350, 408, 459, 477, 494, 500, 532, 538, 593, 604, 610, 660, 665 SE/TE: 140, 141, 203, 247, 274, 298, 336, 352, , 378, 383, 390, 516, 531, 538, 548, 568, 584, 587, 603, 611 at Work 40, 185, 270, 503, 557, 613 A Point in Time 88, 331, 379, 421, 673 Snapshots 110, 111, 238, 239, 344, 345, 466, 467, 578, 579, 688, 689 SE/TE: 14, 20, 38, 48, 60, 73, 76, 126, 133, 154, , 260, 275, 282, 291, 324, 343, 350, 372, 404, 405, 480, 590, 593, 598, 613, 717, 739, 754, 791 TE: 510A 510F SE/TE: SE/TE: SE/TE: 38, 40, 47 58, 67 69, 173 SE/TE: 89 92, , , 187, , , 290, , 327, , 461, 582 SE/TE: 14, 20, 38, 48, 60, 73, 76, 126, 133, 154, , 260, 275, 282, 291, 324, 343, 350, 372, 404, 405, 480, 590, 593, 598, 613, 717, 739, 754, 791 SE/TE: , , , , SE/TE: , , , , , , , SE/TE: 42 49, , , SE/TE:

17 Prentice Hall Mathematics:,, 2004 f. Deduce properties of figures using transformations and coordinates (NCTM Standard 8; MO 2.4, 3.5) g. Identify congruent and similar figures using transformations (NCTM Standard 8; MO 1.5, 3.5, 3.6) h. Analyze properties of transformations and relate translations to vectors (NCTM Standard 8; MO 1.6, 2.4, 3.6, 4.1) i. Apply an understanding of perimeter, area, volume, angle measure, capacity weight and mass (NCTM Standard 7; MO 2.5, 3.3, 4.1) j. Model, describe, and analyze maximum and minimum points on a graph (NCTM Standard 13; MO 1.6, 2.1, 4.3, 4.7) k. Model, describe, and analyze patterns of sequences through processes of geometric change, approximations, and limits (NCTM Standard 14; MO 1.6, 2.1, 4.3, 4.7) l. Recognize and apply trigonometry to problem situations (NCTM Standard 9; MO 3.1, 3.6, 4.2, 4.8) TE: 632A 632F SE/TE: SE/TE: 9 96, , , , SE/TE: SE/TE: SE/TE: 9 96, , , , SE/TE: SE/TE: 25 33, 51 59, , , , , , SE/TE: , 847 SE/TE: , , 353, 354 SE/TE: 4 9, 16, 61, 74, 109, , 428 SE/TE: TE: 468A 468E SE/TE: , SE/TE: , TOPIC VII: DATA ANALYSIS, PROBABILITY AND STATISTICS 1. Statistical measures of central tendency, randomness, variability, and correlation. 2. Appropriate use of theoretical and experimental probabilities. SE/TE: 6, 67, 118, 123, 225, , SE/TE: SE/TE: SE/TE:

18 Prentice Hall Mathematics:,, The process required to design and conduct a survey or experiment. SE/TE: 186, SE/TE: The process required to analyze and present data. SE/TE: 4 8, 17 23, 37, 59 65, , SE/TE: 55 98, , , , , The appropriate use of technology.,, Every chapter contains examples and exercises to incorporate technology as a problem solving tool a. Interpret and summarize data from charts, tables, and graphs that appear in real-world situations (NCTM Standard 10; MO 1.1, 1.8) b. Apply curve-fitting to make defendable predictions (NCTM Standard 10; MO 1.4, 2.7, 3.2) c. Apply the appropriate statistical measures including central tendency, variability, and correlations to a situation (NCTM Standard 10; MO 1.2, 1.5, 3.2) d. Investigate the effects of data transformations on variability and measures of central tendency (NCTM Standard 10; MO 1.1, 1.4, 2.7) e. Investigate the concept of a random variable (NCTM Standard 10; MO 1.4, 2.7, 3.2) f. Design and interpret simulations to estimate probabilities (NCTM Standard 11; MO 1.3, 3.3, 3.6) SE/TE: 4 8, 17-23, 59 65, , , 232, 233, , , 336, 337, 452, 453, 574, 575, 700, 701 SE/TE: 55 98, , , , , SE/TE: 61 64, , , SE/TE: 78 85, 236, 240, 302, SE/TE: 6, 67, 118, 123, 225, , SE/TE: SE/TE: , , SE/TE: This standard is covered in Prentice Hall 2004 SE/TE: SE/TE: SE/TE: 40, 49, ,

19 Prentice Hall Mathematics:,, 2004 g. Apply theoretical probability to real-world problems (NCTM Standard 11; MO 1.7, 3.8) h. Apply experimental probability to real-world problems (NCTM Standard 11; MO 1.7, 3.8) i. Collect, plot, and interpret data, including that from a discrete probability distribution (NCTM Standard 11; MO 1.2, 1.6, 3.6) j. Develop, interpret, and apply the normal curve in problem solving (NCTM Standard 11; MO 1.1, 3.2, 3.4) k. Determine and interpret maximum and minimum values within a data set, on a graph, or in a problem situation (NCTM Standard 13; MO 1.3, 2.1, 3.6) l. Analyze an infinite series as it relates to a limiting value (NCTM Standard 11; MO 1.6, 1.8, 3.2) SE/TE: 210, 212, SE/TE: 16, 72, 138, 148, 200, 278, 308, 353, , 411, 421, 497, 525 SE/TE: 41 45, 49 SE/TE: SE/TE: 16, 72, 138, 148, 200, 278, 308, 353, , 411, 421, 497, 525 SE/TE: 39 45, 49 SE/TE: , SE/TE: SE/TE: , 309, 354, 685 SE/TE: TOPIC VIII: PATTERNS AND RELATIONSHIPS 1. Mathematical patterns and relationships may be represented in various forms TE: 234A 234F SE/TE: 37, 42, 43, 96, 185, 187, 209, , 306, 308, 318, 319, 325, 394, 397, 411, 428, 429, 434, 584, 621, 665, 716 SE/TE: 4 9, 16, 61, 74, 109, 404, 405, 428, , 598, 667, 704 SE/TE:

20 Prentice Hall Mathematics:,, Mathematical symbols can be used to represent real-world situations. SE/TE: Real World Snapshots 130, 131, 232, 233, 336, 337, 452, 453, 574, 575, 700, 701 SE/TE: Reading Math 4, 5, 18, 19, 40, 75, 85, 90, 106, 134, 135, 141, 150, 161, 184, 201, 211, 212, 243, 257, 262, 268, 284, 305, 307, 342, 347, 359, 395, 443, 457, 470, 524, 548, 580, 584, 637, 673 Reading Math 11, 12, 18, 20, 25, 27, 44, 53, 71, 75, 80, 83, 93, 115, 117, 127, 133, 136, 145, 188, 191, 204, 207, 210, 257, 262, 264, 268, 289, 294, 299, 334, 349, 362, 374, 402, 416, 427, 446, 470, 478, 485, 512, 520, 582, 586, 595, 634, 667 Real World Snapshots 110, 111, 238, 239, 344, 345, 466, 467, 578, 579, 688, 689 Reading Math 5, 7, 8, 12, 18, 27, 57, 58, 64, 72, 91, 118, 121, 135, 164, 188, 214, 218, 278, 282, 310, 325, 336, 364, 393, 396, 425, 435, 447, 462, 479, 485, 491, 521, 540, 562, 594, 603, 617, 648, 668, 698, 720, 765, 770, 779 SE/TE: Real World Snapshots 112, 113, 230, 231, 358, 359, 474, Definitions of sequences and series. SE/TE: , SE/TE: 4 9, 16, 61, 74, 109, 428 SE/TE: Trigonometric ratios of sine, cosine, and tangent. SE/TE: TE: 468A 468F SE/TE: , SE/TE: Subsets of the real number systems. SE/TE: SE/TE: 4 17 a. Compare and contrast the real number system and its various subsystems with regard to their structural characteristics (NCTM Standard 14; MO 1.6, 1.8) SE/TE: SE/TE:

21 Prentice Hall Mathematics:,, 2004 b. Represent and analyze relationships using verbal rules, tables, and graphs as tools to interpret expressions, equations and inequalities (NCTM Standard 5 and 6; MO 1.6, 1.8, 2.1, 3.3) c. Translate among tanbular, symbolic, and graphical representations of functions and model real-world phenomena with a variety of functions (NCTM Standard 6; MO 1.6, 1.8, 2.2, 3.6) d. Represent situations that involve variable quantities with expressions, equations, and inequalities (NCTM Standard 5; MO 1.6, 1.8, 3.3) e. Solve equations and inequalities (NCTM Standard 5; MO 1.6, 1.8, 2.2, 3.3) f. Translate between synthetic and coordinate representation for geometric relationships (NCTM Standard 8; MO 1.6, 1.8, 2.2, 3.3) g. Investigate limiting processes by examining infinite sequences and series (NCTM Standard 13; MO 1.6, 1.8, 3.3) TE: 234A 234F, 280A-280F, 338A 338F SE/TE: 59 65, , , , SE/TE: 24, , , 422, 428, SE/TE: 4 49, 62 84, , , , , , , , SE/TE: , , , 567, , SE/TE: 55 60, 86 98, , , , SE/TE: 4 15, , SE/TE: 24, , , 422, 428, SE/TE: 4 49, 62 84, , , , , , , , TE: 72A 72F, 132A 132F SE/TE: , SE/TE: 24, , SE/TE: 18 37, 62 84, , , , SE/TE: 9, 14, 15, 51, 63, 64, 70, 75, 79, 85, 92, 98, 100, 108, 111, 114, 156, 158, 179, 190, 215, 288, 302, 350, 408, 459, 477, 494, 500, 532, 538, 593, 604, 610, 660, 665 SE/TE: 42 50, , , 349, 351, SE/TE: 54, 62, 63, 92 94, , , 187, 188, 249, 250 SE/TE:

22 Prentice Hall Mathematics:,, 2004 h. Apply trigonometry to problem situations involving triangles and explore real-world phenomena using the sine, cosine, and tangent functions (NCTM Standard 9; MO 1.6, 1.8, 2.2, 3.6) i. Analyze effects of parameter changes on the graphs of functions using a variety of technologies to gather data (NCTM Standard 6; MO 1.4, 1.6, 2.7, 3.3) SE/TE: TE: 468A 468F SE/TE: , SE/TE: SE/TE: , , , 567, , SE/TE: , , SE/TE: 55 60, 86 98, , , , TOPIC IX: MATHEMATICAL SYSTEMS AND NUMBER THEORY 1. Properties of real numbers SE/TE: 38, 40, 47 58, 67 69, 173 SE/TE: 4 24, 170, 171, Procedures for calculator and/or computer use. Every chapter contains examples and exercises showing how to incorporate calculator and computer usage 3. Basic Algebraic procedures. SE/TE: 4 58 SE/TE: 24, 151, 209, 272, 355, 394, 422, 527, 640 SE/TE: Geometric relationships. SE/TE: 9, 14, 15, 51, 63, 64, 70, 75, 79, 85, 92, 98, 100, 108, 111, 114, 156, 158, 179, 190, 215, 288, 302, 350, 408, 459, 477, 494, 500, 532, 538, 593, 604, 610, 660, 665 This standard is covered in every chapter of this textbook SE/TE: 14, 20, 38, 48, 60, 73, 76, 126, 133, 154, , 260, 275, 282, 291, 324, 343, 350, 372, 404, 405, 480, 590, 593, 598, 613, 717, 739, 754,

23 Prentice Hall Mathematics:,, 2004 a. Compare and contrast real number system and its various subsystems (NCTM Standard 14; MO 2.1, 4.1) b. Select and apply appropriate technology as a problem-solving tool to achieve understanding of the logic of algebraic and geometric procedures (NCTM Standard 14; MO 1.4, 3.6) c. Investigate and determine similarities and differences between mathematical systems (NCTM Standard 14; MO 2.1, 4.1, 4.6) d. Extend understanding and application of number theory concepts (NCTM Standard 6; MO 1.6, 3.2, 3.3) SE/TE: SE/TE: 4 38, , 331, 332,, Every chapter contains examples and exercises to incorporate technology as a problem solving tool SE/TE: 68, 80, , SE/TE: 4 38, , 331, 332 SE/TE: 4 58 SE/TE: 4 38, , 331, 332 TOPIC X: DISCRETE MATHEMATICS 1. Concepts of geometry. SE/TE: 9, 14, 15, 51, 63, 64, 70, 75, 79, 85, 92, 98, 100, 108, 111, 114, 156, 158, 179, 190, 215, 288, 302, 350, 408, 459, 477, 494, 500, 532, 538, 593, 604, 610, 660, 665 This standard is covered in every chapter of this textbook SE/TE: 14, 20, 38, 48, 60, 73, 76, 126, 133, 154, , 260, 275, 282, 291, 324, 343, 350, 372, 404, 405, 480, 590, 593, 598, 613, 717, 739, 754, Concepts of probability and statistics SE/TE: , 186, , SE/TE: 16, 72, 138, 148, 153, 175, 200, 278, 308, 353, 387, , 421, 422, 497, 525, 615, 616, 629 SE/TE: 39 49, , , 461, ,

24 Prentice Hall Mathematics:,, Characteristics of probability and statistics SE/TE: , 186, , SE/TE: 16, 72, 138, 148, 153, 175, 200, 278, 308, 353, 387, , 421, 422, 497, 525, 615, 616, 629 SE/TE: 39 49, , , 461, , Cause-and-effect.,, This standard may be explored in each chapter using the problem solving exercises 5. Whole-to-part,, This standard may be explored in each chapter using the problem solving exercises a. Explore and solve application problems involving graph theory (airline routes, circuits, paths, connecting roads, coloring a map, etc.) (NCTM Standard 12; MO 1.6, 1.8, 2.2, 3.2, 3.3, 3.6) b. Use tree, Venn, or student-developed diagrams as problem-solving tools (NCTM Standard 12; MO 3.2, 3.3, 3.6) c. Use concepts from logic and/or truth tables to recognize valid and invalid arguments (NCTM Standard 3; MO 2.2, 3.5) d. Explore applications from counting techniques such as Pascal s Triangle, permutations, combinations, and Fibonacci sequence (NCTM Standard 12; MO 1.6, 2.2, 3.6) e. Investigate the concepts of game theory (NCTM Standard 1; MO 3.2, 3.7, 3.8) game theory: Selecting the best strategies in order to achieve the most favorable outcomes. Games are defined as having two or more players with conflicting interests. SE/TE: 59, 94, 127, 138, 145, 169, 273, 279, 283, 364, 365, 388, 413, 550, 606, 611, 641, 669, 671, 716 SE/TE: 38, 116, 224, 368, 383, 471, 479 SE/TE: 15, 37, 78, 236, 463, 513, 545, 572, 692, 699, 745, 774 SE/TE: 18, 27 30, 45, , 680 SE/TE: 69, 72 74, 269, 292, 671 SE/TE: 68 88, SE/TE: 271, 272, 501, SE/TE: 8, 428 SE/TE: , 599 SE/TE: SE/TE:

25 Prentice Hall Mathematics:,, 2004 f. Explore concepts from election theory (NCTM Standard 1; MO 3.2, 3.7, 4.2, 4.3) g. Investigate different approaches to apportionment and fair division, then explore their applications (e.g. division of property in estates, apportionment in the House of Representatives) (NCTM Standard 1; MO 3.2, 3.3, 3.7, 4.3) h. Use the concept of recursion in mathematics to solve application problems (e.g. compound interest, depreciation, radium decay, maximum storage in the least amount of space, fractals) (NCTM Standard 12; MO 1.8, 2.2, 3.2, 3.7) TE & SE 654, 665 This standard is covered in the component Connections to Pre-Calculus Masters. SE/TE: 114, 201, 228, 230, 272, 438, 439, 449, 558, 660, 698 SE/TE: 430, 431 SE/TE: 273, 275, 426, 433, 434, 470,

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