SUMMARY COMPARISON of 6 th grade Math texts approved for 2007 local Texas adoption

Transcription

1 How much do these texts stress... reinventing more efficiently memorized? calculator dependence over mental training? estimation over exact answers? ; develops concepts incrementally suggested for 34 problems, not expected elsewhere 92 problems stipulated for 157 problems, not expected elsewhere 416 problems peer dependence Stresses independent work, except: Stresses independent work, except: 9 activities for pairs 26 group "Activity" over personal or small groups; exercises including games skill-building? all but 2 are in TE only that introduce chapters How thoroughly do the texts reinforce these skills? adding and subtracting decimals adding and subtracting fractions multiplying and dividing decimals multiplying and dividing fractions finding area and perimeter of geometric shapes 364 problems 379 problems 607 problems 470 problems Thorough 164 problems 407 problems 505 problems 415 problems Thorough SUMMARY COMPARISON of 6 th grade Math texts HOLT stipulated for 69 problems, 314 problems 49 suggested group activities, 13 of these in SE 177 problems 493 problems (suggests converting fractions to decimals on calculator before solving) 527 problems 454 problems (suggests converting fractions to decimals on calculator before solving) Fair TEXAS stipulated for 110 problems, 290 problems 80 group activities, usually for pairs; includes recurring "Alternative Assessments" for student pairs 165 problems 322 problems 256 problems 297 problems Poor For full, fast, FREE documentation, contact: TEXAS Usually teaches stipulated for 245 problems, 455 problems 26 group activities; most suggested in TE, not SE 144 problems (calculator used for large numbers) 406 problems (calculator not used for adding and subtracting fractions) 422 problems (calculator used for large numbers) 343 problems (calculator not used for multiplying and dividing fractions) Fair EVERYDAY Students often learn non- or invent their own. encouraged about 57% (4/7) of the time overall 161 problems Heavy calculator use de-emphasizes estimation. 175 suggested group activities, most for partners, dilute independent work. 79 problems (not including games, which may or may not use calculators) 246 problems 209 problems (not including games, which may or may not use calculators) 446 problems Minimal CONNECTED 2 Protracted student efforts to invent own preempt class time, multiply redundancies. encouraged for most problems 158 problems Heavy calculator use de-emphasizes estimation. 114 activities for pairs or small groups; part of every lesson 113 problems (calculator used for all but initial problems on these operations) 152 problems (calculator not used for adding and subtracting fractions) 280 problems (calculators encouraged for all but initial problems on these operations) 316 problems (calculator use accepted but not encouraged for these operations) Inconsistent Strong on some topics, weak on others (see our documentation) OVERALL RATING BEST GOOD FAIR FAIR POOR VERY POOR WORST Daily number fact practice during 1 st semester; daily mental math exercises all year

2 Stated policy on calculator use stated policy; 9 SE pages suggest calculator use; text 4 times refers students to the Saxon website for graphing calculator activities Calculation treated as " 'practice makes perfect' " not as " 'something best left to calculators' " (p. T52); calculator use usually limited to one "Technology Activity" per chapter How often does the text suggest calculator use for... multiplying by a not mentioned in SE for 2 problems (A few TE extension problems 2- or 3-digit pp. 24, 37 with very large numbers number? suggest calculator use.) adding 3-digit or larger numbers? finding decimal value of fractions? finding circumference? finding numerical equivalents of exponential expressions? finding the mean? checking paper-andpencil answers? other mathematical operations? Total suggested calculator use for 1 problem Performance Activity 4 p. 135B for 4 problems pp. 386, 387 not expected not expected for 7 problems pp. 155, 155 for 18 problems p. 276 for 12 problems pp. 530, 530 for 31 problems pp. 17, 20, 24 Extent of calculator dependence HOLT "Choose a solution method and solve... You could use paper and pencil. But finding a product of 3-digit numbers requires several steps. Using a calculator will probably be faster." p. 31 for 13 problems pp. 31, 32, 49, 150, 550, 715 for 3 problems p. 150 for 5 problems p. 389, 389 not mentioned TEXAS "Students... expected to use graphing technology... no longer limited to four-function calculators." p. T26 "Will you use estimation, mental math, paper and pencil, or a calculator...? " Sample answer: "calculator because it is faster" p. 15, #31 for 11 problems pp. 41, 42 not mentioned for 9 problems pp. 280, 342, 343 for 11 problems pp. 440, 441, 441 TEXAS "Use a calculator if an exact answer is needed and the calculations are not simple enough to perform mentally and have fairly large numbers." p. 642, #12-5 Pp. 8-9 give detailed instruction on use of graphing calculator. Also see pp. 10, 51. for 3 problems pp. 9, 11 for 4 problems pp. 104, 105, 693 for 30 problems pp , 210 for 22 problems pp , 490, 504, 505, 522, 536, 686 not mentioned not mentioned for 26 problems pp. 9, not expected not expected not mentioned not mentioned for 11 problems pp. 104, 105, 112, 113 for 13 problems pp. 226, 346, 386, 438, 608 for 16 problems pp. 108, 231, 232, 244, 245, 274, 437, 462, 469, 608 Suggested for 34 problems, not expected elsewhere not expected for 87 problems pp. 24, 37, 155, 155, 385, 441, 441, 602, 667, 688 Stipulated for 157 problems, not expected elsewhere for 12 problems p. 21 for 36 problems pp. 31, 32, 32, 36, 39, 44, 57, 177, 187, 389, 389 Stipulated for 69 problems, not mentioned for 79 problems pp. 15, 35, 78, 180, 237, 281, 345, 437, 547, 570D, 586, 588, 589, 590, , 599, 600 Stipulated for 110 problems, for 58 problems pp. 208, for 91 problems pp. 9, 26, 27, 48, 53, 104, 112, 113, 164, , 288, 314, 479, 487, 512, 522, 549, 607, 611, 693 Stipulated for 245 problems, EVERYDAY "... calculators... free both students and teachers from having to spend so much time on dull, repetitive, and unproductive tasks." Teacher's Reference Manual, p. 35, lines 1-3 Actual amount of calculator use in "Games" component is indeterminate, but the main student workbook (Math Journal) and other student worksheets (Math Masters) direct students not to use calculators about 3/7 of the time. is always acceptable unless there is a " Calculator" icon. About 57% (4/7) of the time overall CONNECTED 2 "... we assume that students have access to calculators at all times. However, we hope that students will develop good estimation and mental arithmetic skills." Prime Time, p. 16, col. 2, par. 3, "A te on Calculators" Does not "designate specific 'calculator problems' " because calculators should be available "at all times" (see above) and "students should learn when their use is appropriate" (Prime Time p. 13, col. 1, par. 1); Exception: Bits & Pieces I, II, and III all encourage students to work without calculators when first learning fraction and decimal operations. Encouraged for most problems 2

3 Estimation and peer dependence 3 How much do these texts stress... estimation 92 problems over exact answers? pp. 30, 84-86, 85, 86, 91, 96, 111, 115, 120, 125, 130, 135, 140, 155, 159, 167, 181, 186, 186, 190, 193, 203, 219, 220, 224, 237, 237, 243, 248, 249, 252, 257, 258, 263, 270, 271, 274, 283, 284, 293, 318, 322, 341, 341, 347, 348, 351, 351, 355, 388, 392, 397, 401, 403, 411, 430, 434, 445, 446, 450, 478, 495, 523, 531, 586, 589, 594, 599, 618, 619 Cumulative tests 4, 5, 8, 10 peer dependence over personal skill-building? Stresses independent work, except: 9 activities for pairs or small groups; all but 2 are in TE only pp. 108, 109, 212, 471, 471, 476, 478, , , 579, problems pp , 14, 19, 23, 26, 27, 33, 48, 48, 51, 55, 118, , 153, 154, 156, 160, 161, 163, 164, 168, 172, 173, 197, 287, , 307, 326, 330, 333, 336, 340, , 353, 356, 358, 359, 369, 372, 387, 391, 396, 435, 435, , 515, 515, 517, 534, 745, , 776, 778, 781, 782 Stresses independent work, except: 26 group "Activity" exercises including games that introduce chapters pp. 1, 28, 98, 119, 124, , 174, 203, 254, , 321, , 359, , 401, , 470, , , , , , 635, 653, 681, HOLT 314 problems pp. TX4-7, TX10, TX16, TX24, 11, 12-13, 18, 29, 43, 45, 47-49, 56, 83, 89, 111, 113, 114, 115, , 139, 149, 152, 158, 172, 195, 205, , 218, 237, 247, 279, 289, 359, 379, 395, , 397, 406, 407, , 521, 522, 523, 526, 527, 533, 559, 560, , 561, 577, 585, 587, 714, 718, 721, 727, 731, 733, 734 Chapter 3 & 4 tests 49 suggested group activities, 13 of these in SE pp. 11, 23, 40-41, 86, 92, 101, 113, 131, 138, 145, 150, 151, 165, 174, 186, 187, 214, 235, 261, 275, 280, 281, 295, 303, 315, 318, 327, 331, 334, 338, 357, 382, 386, 402, 417, 425, 429, 457, 573, 611, 616, 626, 647, 654, 655, 669, 679, 695, 702 TEXAS 290 problems pp. 8-11, 9, 19, 20, 30, 33-35, 35, 41, 50, 52-56, 83, 103, 104, 111, 127, 161, , 226, 231, 247, 252, 254, 257, 266, 267, 269, 277, 278, 279, 281, 285, 287, 297, 298, 300, 302, 303, 334, 339, , 355, 356, 358, 441, 446, 447, 510, 568, 589, 590, 597, 605, 612, 613, , 624, 625, 628, group activities, usually for pairs; includes recurring "Alternative Assessments" for student pairs pp. 41, 43, 47, 48, 48, 50, 60, 64, 83, 90, 97, 98, 111, 117, 123, 127, 133, 135, 165, 169, 170, 174, 179, 181, 195, 197, 201, 202, 227, 231, 238, 250, 270, 271, 275, 281, 281, 285, 287, 291, 295, 296, 296, 315, 324, 325, 325, 351, 365, 371, 377, 383, 397, 405, 419, 424, 435, 447, 452, 456, 457, 480, 486, 491, 497, 499, 503, 519, 521, 523, 528, 533, 537, 545, 546, 551, 562, 577, 577, 584, 585, 585, 586, 586, 594 TEXAS 455 problems pp. 11, 75, 79, 149, , 167, , 179, 223, 225, , 237, 264, 267, 268, 320, 334, 358, 360, , 370, 371, 373, 388, 389, 409, 414, , 452, 470, 475, 477, 486, 488, 489, 489, , , 505, 510, 516, 517, , 533, 546, , 557, 567, 585, 587, 601, 610, 611, 613, 618, 669, 680, 681, 689, 690, 697, 702, group activities; most suggested in TE, not SE pp. 25, 61, 76B, 81a, 114a, 119, 121a, 187a, 192a, 194a, 226, 244, 253a, 254a, 359a, 411, 428E, 444, 460a, 478E, 488a, 568a, 579a, 602a, 614a EVERYDAY 161 problems (rounding not counted). Heavy calculator use de-emphasizes estimation. MJ pp , 60, 67, 78, 92, 225, 232, 262, 313, 318, 319, 321, 405; MM pp , 292, 300; TE pp. 103, 126, 128, 132, 169, 170, 203, 232, 240, 273, 479, 518, 648, 649, 682, 715, 729, 745, suggested group activities, most for partners, dilute independent work. Teacher Reference Manual, p. 23; pp. 21, 25, 26, 28, 31, 35, 39, 46, 51, 54, 55, 59, 60, 63, 64, 66, 89, 90, 93, 97, 102, 110, 111, 114, 120, 124, 131, 156, 159, 160, 164, 168, , 181, 184, 188, 193, 197, 223, 228, 232, 234, 238, 239, 247, 248, , 262, 266, 270, 276, , 297, 298, 302, 306, 307, 313, 317, 319, 331, 335, , 453, 460, , , 478, , , 496, 498, 501, 505, 509, 510, , 526, 542, 544, 545, 547, 550, , 560, 565, 566, 569, 570, 575, 577, 578, 583, 588, 589, 606, 608, 618, 626, 632, 637, 640, 644, 649, 656, 658, , 670, 673, 675, 702, 703, 707, 708, 714, 718, 728, 731, 737, 741, 742, , 754, 757, 759, 764, 765, , 793, 794, 803, 804, 810, 816, 817, 820 CONNECTED problems (rounding not counted). Heavy calculator use de-emphasizes estimation. Bits & Pieces II, pp. 6-13, 26, 33, 35, 36, 38, 40, 58; pp. 8-9, 31, 59, 63, 71, 78-80, 83, 86; pp. 5-6, 6-7, 11, 13, 14, 19, 23, 25, 28, 29, 33, 35, 37, 39, activities for pairs or small groups; part of every lesson Prime Time, pp. 17, 25, 39, 41, 45, 57-70, 74-92, ; Bits & Pieces I, pp. 17, 23, 30, 46, 51, 63, 65, 68, 71, 87, 97, 101, 117, 119, 131; Shapes & Designs, pp. 18, 23, 27, 41, 45, 53, 63, 67, 75, 83, 87, 91; Bits & Pieces II, pp. 20, 26, 35, 41, 47, 51, 60, 66, 72, 76, 81, 92, 97, 104, 110; pp. 19, 23, 27, 39, 47, 51, 65, 70, 75, 79, 89, 93, 97, 111, 115, 120, 123; pp. 16, 38, 43, 49, 51, 62, 66, 71, 75, 87, 89, 93, 101, 105, 109; How Likely Is It?, pp. 15, 21, 25, 29, 37, 41, 45, 49, 59, 63, 67, 76, 79, 83; Data About Us, pp. 18, 21, 27, 32, 37, 48, 53, 59, 63, 74, 82, 87

4 Addition and subtraction of decimals 4 HOLT TEXAS TEXAS EVERYDAY CONNECTED 2 When does the text introduce... addition SE & TE of decimals? 4 problems subtraction of decimals? SE & TE problems SE & TE problems SE & TE problems SE & TE problems SE & TE problems SE & TE problems SE & TE problems SE & TE problems SE & TE TE pp MJ pp MM pp. 19, problems TE pp MJ pp MM pp. 19, problems Bits & Pieces III SE 5-20; TE problems Bits & Pieces III SE 5-20; TE problems How much spiral review after introduction? addition of decimals subtraction of decimals TOTAL COVERAGE 171 problems pp. 30, 31, 35, 49, 58, 61, 63, 68, 73, 78, 97, 121, 129, 159, 164, 174, 182, , 198, 200, 202, 210C, 216, 220, 221, 223, 229, 231, 233, 239, 242, 250, 256, 257, 259, 262, 263, 270, 272, 273, 276, 278, 279, 280, 283, 287, 289, 292, 295, 299, 305, 308, 310, 312, 324, 330, , 340, 342, 347, 349, 351, 358, 360, 372, 377, 378, 380, 383, 384, 388, 390, 392, 396, 397, 399, 402, 408, 411, 412, 421, 424, 426, 430, 433, 434, 436, 439, 444, 445, 447, 450, 454, 456, 465, 467, 484, 486, 491, , 501, 503, 506, 511, 513, 522, 528, 536, 538, 548, 551, 557, 559, 561, 564, 570, 573, 576, 584, 585, 587, 597, 603, 606, 609, 615, 619, 624, 628; Cumulative Tests 1, 2, 10, 12, 14, 15, problems pp. 16, 21, 27, 30, 31, 34, 35, 40, 45, 53, 58, 60, 63, 68, 73, 76, 78, 80, 87, 91, 99, 103, 105, 112, 115, 117, 122, 125, 127, 132, 136, 141, 145, 150, 156, 159, 169, 178, 187, 192, 193, 195, 198, 199, 202, 205, 208, 209, 210C, 219, 220, 223, 225, 228, 229, 233, 235, 242, 242, 244, , , 262, 263, 270, 273, 274, 277, 278, 283, 296, 305, 306, 320, 322, 327, , 334, 336, 337, 340, , 351, 353, 368, 372, 375, 377, 378, 382, 383, 385, 388, 393, 397, , 411, 413, 415, 424, 433, 434, 439, 444, 445, 449, 450, 479, 482, 483, 488, 495, 497, 501, 502, 506, 508, 514, 517, 522, 533, 546, 553, 564, 566, 570, 576, 582, 592, 602, 619; Cumulative Tests 1, 10, 11, 12, 14, 15, problems pp. 156, 160, 161, , 173, 179, 192, 223, 224, 277, 286, 290, 396, 568, 751, 752, 778 pp. 160, 161, 164, 165, 192, 224, 225, 240, 248, 274, 290, 328, 396, 568, 734, 751, 752, problems 57 problems pp. TX4, TX7, TX9-11, TX16, 122, 145, , 147, , 158, 161, 184, 220, 222, 289, 377, 396, 397, 449, 467, 517, 536, 539, 643, 663, 718, problems pp. TX9-11, TX16, 122, , , 158, 159, 161, 184, 221, 222, 345, 359, 377, 396, 397, 409, 411, 449, 467, 504, 507, 517, 643, 663, problems 63 problems pp. 43, 51, 54, 56-58, 63, 64, 68, 69, 72, 77, 92, , 111, 116, 122, 135, 136, 137, 141, 151, 152, 174, 275, 360, 612, 616, 617, problems pp. 43, 50, 51, 54, 56-58, 64, 69, 92, 104, 106, 111, 127, , 136, 137, 151, 155, 250, 255, 287, 303, 334, 360, 474, 601, 605, 612, 613, 616, 623, problems 45 problems pp. 164, 168, 169, 179, 186, 268, 360, 377, 409, 426, 438, 477, 505, 541, 545, TX7, TX23, 669, 697, problems pp. 164, , 257, 320, 358, 377, 403, 409, 438, 541, 612, 669, problems (calculator used for large numbers) 13 problems MJ pp. 49, 56, 70, 262, 273, 278; SRB p problems MJ pp. 49, 56, 70, 138, 169, 178, 183, 229, 234, 273, 278; TE p problems (not including games, which may or may not use calculators) 8 problems pp. 40, 46, 54-60, 77, 78 (calculator allowed for last 5 of these problems, from p. 54 on) 23 problems pp. 40, 46, 47, 54, 63, 67, 77, 78 (calculator allowed for last 10 of these problems, from p. 54 on) 113 problems (calculator used for all but initial problems)

5 When does the text introduce... addition SE & TE of fractions? 5 problems (first lesson only) subtraction of fractions? (first lesson only) SE & TE problems How much spiral review after introduction? addition of fractions subtraction of fractions TOTAL COVERAGE 180 problems pp. 134, 135, 138, 139, 144, 148, 154, 159, 167, 172, 176, 181, 186, 189, 193, 199, 203, 209, 210C, 220, 223, 224, 228, 229, 233, 234, 237, 238, 242, 243, 248, 252, 253, 256, 258, 262, 263, 263C, 268, 271, 274, , 284, 287, 288, 292, 293, , 304, 305, 307, 308, 312, 313, 321, 322, 327, 330, 332, 335, 340, 344, 345, 347, 348, 351, 352, 356, 360, 362, 372, 377, 383, 388, 397, 402, 406, 407, 411, 415, 424, 429, 430, 434, 439, 450, 454, 458, 462, 468, 477, 482, 491, 495, 502, 506, 510, 512, 522, 538, 540, 541, 551, 559, 564, 576, 589, 599, 619, 628; Cumulative Tests 7, 8, 9, 10, 11, problems pp. 134, 135, 139, 144, 148, 154, 157, 167, 172, 173, 176, 181, 186, 188, 189, 193, 199, 203, 209, 210C, 220, 223, 224, 228, 229, 233, 237, 238, 242, 248, 249, , 256, 262, 263, 263C, 270, 278, 283, 287, 292, 293, , 304, 308, 312, 313, 322, 327, 330, 331, 335, 340, 344, 347, 351, 356, 360, 372, 377, 383, 388, 393, 395, 402, 406, 407, 411, 415, 424, 429, 434, 439, 445, 446, 450, 454, 462, 463, 468, 477, 486, 495, 506, 511, 531, 541, 551, 555, 564, 589, 595, 614, 619, 624; Cumulative Tests 6, 8, 18, problems SE & TE problems SE & TE problems 151 problems pp , 303, 304, 307, 314, 316, 320, 327, , 336, 366, 370, 372, 386, 396, 397, 568, 781, problems pp , 303, 307, , , , 327, , 336, 370, 396, 397, 568, problems Addition and subtraction of fractions HOLT SE & TE problems SE & TE problems 180 problems pp. TX10, TX14, TX15, TX17, TX18, 206, 210, 218, 219, 225, 228, 231, 234, 235, 236, 237, , 240, 241, 244, 246, 249, , 251, 263, 273, 277, 279, 282, 283, 285, 289, 294, 305, 311, 344, 355, 372, 388, 411, 416, 553, 585, 681, 721, problems pp. TX14, TX18, 206, 210, 211, 218, 225, 231, 235, 236, 237, 239, , 240, 241, 244, , 245, 247, 249, , 251, 257, 263, 282, 283, 285, 288, 289, 305, 311, 344, 355, 372, 388, 409, 410, 416, 455, 456, 478, 553, 585, 594, 681, 721, problems (suggests converting fractions to decimals on calculator before solving) TEXAS SE & TE problems SE & TE problems 136 problems pp , 225, , 229, , 241, 251, , 264, 270, 279, 303, 405, 474, 620, problems pp , 225, , 233, 238, , 241, 245, , 264, 285, 295, 297, 319, 405, 620, problems TEXAS SE & TE problems SE & TE problems 145 problems pp , , 262, 265, , 321, 346, 396, 595, 674, TX23, problems pp , , 259, , 279, 287, 293, 308, 396, 595, 674, 675, problems (calculator not used for adding and subtracting fractions) EVERYDAY SRB = Student Reference Book TE pp MJ p. 130 MM p. 285 SRB p problems TE pp MJ p. 130 MM p. 285 SRB p problems 105 problems MJ pp , 139, 142, 145, 148, 149, 156, 160, 198, 214, 221, 225, 232, 252, 262, 289, 312, 351, 361, 369; MM pp. 286, 57, 287, 58, 63, 397, 398; TE pp. 242, 290, 325, 524, problems MJ pp. 133, 135, 136, 139, 142, 145, 148, 149, 152, 156, 198, 214, 222, 225, 232, 262, 312, 329, 337, 361, 369; MM pp. 286, 287, 59, 63, 397, 398; TE pp. 242, problems CONNECTED 2 Bits & Pieces II SE 16-31; TE problems Bits & Pieces II SE 16-31; TE problems 30 problems Bits & Pieces II, pp. 45, 58-61, 63, 64; p. 31; pp. 10, 15; How Likely Is it?, pp. 32, 67; Data On Us, p problems Bits & Pieces II, pp. 45, 46, 58, 59, 61; p. 21; pp. 10, 12, problems (calculator not used for adding and subtracting fractions) 5

6 When does the text introduce... multiplication SE & TE of decimals? 3 problems (first lesson only) division of decimals? (first lesson only) SE & TE problems How much spiral review after introduction? multiplication of decimals division of decimals TOTAL COVERAGE 318 problems pp. 21, 27, 35, 40, 49, 53, 81, 85, 91, 96, 98, 103, 107, 115, 125, 129, 135, 140, 154, 167, 172, 176, 181, 202, 204, 208, 209, 210C, 219, 220, 223, 224, 229, 234, 237, 242, 243, 248, 252, 253, , 262, 263, 270, 271, 273, 274, 277, 278, 283, 284, 287, 288, 292, 304, , 312, 313, 323, , , 340, 341, , , 368, 372, 375, , , 389, 390, 392, 395, 397, 399, , 408, 411, 413, 421, , , 433, 436, 439, 441, , 449, 450, 452, 456, 458, 459, 460, 463, 465, 471, 474, 479, 481, 482, 484, 486, 488, , 501, 502, 506, 508, 511, 515, 517, 528, 530, 533, 538, 546, 548, 550, 551, 553, 557, 559, 561, 564, 566, 570, 573, 576, 582, 584, 586, 587, 589, 592, 595, 597, 599, 602, 603, 608, 612, 614, 615, 619, 620, 621, 621B, 626, 631; Cumulative Tests 1, 9, 10, 11, 12, 13, 14, 15, problems pp. 27, 31, 34, 40, 44, 45, 48, 53, 71, 85, 104, 107, 114, 119, 120, 125, 143, 172, 176, 181, 195, 199, 225, 231, , 242, 244, 247, 248, 250, 252, 254, , 262, 263, 370, 273, , 283, 284, 287, 292, 296, 304, 305, , 312, 313, , 327, 329, 331, , 337, 340, 342, 344, , , 355, 356, 358, 360, 362, 368, 372, 373, 375, 377, 379, 380, 383, 385, 388, 390, 392, 393, , 399, 404, , 415, 424, 426, 429, 431, 435, 436, 439, 441, 444, 447, 449, 452, 453, 454, 456, 459, 460, 463, 465, 467, 468, 474, 484, 486, 491, 493, 495, , 506, 511, 513, 514, 520, 528, 531, 532, 536, 538, 546, 548, 551, 555, , 571, 573, 576, 584, 585, 587, 589, 592, 594, 599, 602, 604, 609, 620, 623, 624, 628; Cumulative Tests 14, 18, problems Multiplication and division of decimals *The 6 th grade Math TEKS do not include multiplication and division of decimals and fractions, but the practice Texas test in Glencoe's Texas Math contains at least one item with decimal multiplication. SE & TE problems SE & TE problems 238 problems pp. 176, , , 182, 183, 191, 192, , 194, 197, 201, 212, 215, 217, 219, 220, 222, 224, 225, 287, 396, 400, 434, 435, 435, 436, , 440, 442, 446, 459, 522, 555, 568, 734, 779, problems pp , 194, 197, 199, 212, 216, 217, 219, , 396, 397, 447, 568, 734, problems HOLT SE & TE problems SE & TE problems 184 problems pp. TX4, TX9, TX25-TX27, 124, 128, 140, 145, 147, , 153, 155, 159, 161, 231, 273, 288, 289, 349, 358, 364, 365, 388, 391, 392, 393, 394, , 401, 401, 406, 407, 411, 423, 449, 478, 539, 549, 643, 663, 706, 708, 719, 731, problems pp. TX4, TX11, 143, , 147, 154, 155, 158, 159, 161, 183, 184, 189, 196, 237, 289, 291, 345, 354, 355, 355, 356, 387, 393, 401, 406, 407, 411, 427, 449, 479, 481, 527, 536, 537, 595, 643, 662, 663, 665, 668, 685, 706, 709, 719, 720, 724, 727, 731, problems TEXAS SE & TE problems SE & TE problems 88 problems pp. 47, 50, 53, 54, 64, 92, 104, 116, 133, , 139, 141, , 151, 174, 201, 287, 325, 338, 339, 347, 352, 356, 377, 429, 435, 612, 613, 616, 617, 622, 624, problems pp. 50, 53, 54, 58, 63, 64, 68, 69, 77, 104, , 139, 141, 151, 152, 156, 258, 287, 347, , 397, 412, 497, 514, 612, 613, 615, 624, 625, problems TEXAS SE & TE * 65 problems SE & TE problems 175 problems pp. 539, 540, 542, 545, 546, 553, 556, 567, 584, 587, 612, 647(sample TAKS), 688, problems pp. 549, , 550, 560, 567, , 587, 606, 689, problems (calculator used for large numbers) EVERYDAY TE pp MJ pp. 47, 48, 50, 51 MM p problems TE pp MJ pp. 78, 79 MM pp. 263, problems 69 problems MJ pp. 65, 70, 71, 77, 97, 107, 118, 129, 133, 139, 145, 173, 239, 250, 285, 351, 387, 399; TE p problems MJ pp. 83, 92, 102, 111, 127, 132, 138, 139, 145, 298, 324, 325, 333, 357, 405; MM p problems (not including games, which may or may not use calculators) CONNECTED 2 Bits & Pieces III SE 21-35; TE problems Bits & Pieces III SE 36-49; TE problems (calculator use expected for 22 of these problems) 74 problems pp. 40, 44-48, 51, 53-61, 66, 67-73, 77 (calculator use expected for 62 of these problems, from p. 54 on) 40 problems pp. 51, 57-60, 63, 67-73, 77, 78 (calculator use expected for all these problems) 280 problems (calculators encouraged for all but initial problems) 6

7 When does the text introduce... multiplication SE & TE of fractions? 11 problems (first lesson only) division of fractions? (first lesson only) SE & TE problems How much spiral review after introduction? multiplication of fractions division of fractions TOTAL COVERAGE 242 problems pp. 159, 160, 167, 168, 172, 173, 176, 181, 185, 186, 190, 193, 194, 199, 203, 209, 220, 224, 229, 236, 237, 243, 248, 252, 253, 257, 258, 262, 265, 271, 273, 274, 278, 283, 287, 288, 292, 296, 297, 304, 308, 312, 320, 322, 326, 327, 331, 332, 335, 340, 344, 347, 350, 352, 356, 360, 361, 372, 374, 376, 379, 383, 388, 393, 397, 402, 406, 407, 411, 414, 415, 424, 425, 430, 431, 433, 434, 439, 450, 454, 459, 462, 463, 468, 469, 476, 477, 481, 482, 486, 490, 491, 495, , 510, 511, 515, 530, 531, 536, 540, 546, 547, 551, 555, 559, 564, 565, , 576, 582, 587, 589, 592, 595, 597, 599, 602, 603, 606, 612, 621, 626, 628, 631; Cumulative Tests 6, 8, 9, 10, 13, 17, 18, 19, problems pp. 233, 261, 268, 271, 274, 283, 284, 287, 288, 296, 297, 297, 304, 305, 308, 309, 312, 313, 327, 328, 331, 344, , , 360, 361, 372, 379, 383, 388, 397, 402, 406, 411, 425, 429, 434, 439, 444, 450, 454, 458, 463, 477, 491, 495, 502, 505, 506, 510, 511, 514, 522, 531, 536, 540, 542, 555, 564, 572, 576, 584, 585, 589, 599, 603, 614, 619, 623, 628; Cumulative Test problems SE & TE problems SE & TE problems 227 problems pp , 349, 353, , 387, 388, 360, 366, 370, 371, 372, , 390, 391, 396, 400, 425, 435, , 446, 447, 509, 568, 782, problems pp , 368, 384, 386, , 396, 397, 568, problems Multiplication and division of fractions HOLT SE & TE problems SE & TE problems 195 problems pp. 264, 265, 266, 267, 267, 270, 272, 273, 276, , , 288, 289, 321, 335, 346, 407, 410, 456, 458, 539, 549, 561, 594, 595, 722, problems pp. 275, , 277, 284, 285, 289, 294, 416, 536, 561, 627, 723, problems (suggests converting fractions to decimals on calculator before solving) TEXAS SE & TE problems SE & TE problems 151 problems pp. 267, 267, 269, 270, 270, , 283, 285, 287, 292, 295, , 304, 309, 344, 429, 474, 622, 623, problems pp , 277, 279, 281, 287, 294, 296, , 304, 315, 324, 622, problems TEXAS SE & TE problems SE & TE problems pp. 568, 571, 578, 586, 587, 635, 690, problems pp , 586, 587, 595, 601, 623, 691, problems (calculator not used for multiplying and dividing fractions) EVERYDAY TE pp MJ pp MM pp. 288, 60 TE pp MJ pp. 212, 213 MM pp. 313, problems 314 problems MJ pp. 143, 144, 149, 151, 152, 156, 157, 165, 173, 187, 191, 198, 199, 206, 208, 312, 229, 234, 239, 250, 252, 262, 267, 273, 277, 278, 285, 312, 329, 337, 344, 351, 387, 399; MM pp. 62, 289, 63, 64, 312, 406; TE pp. 249, 250, 299, 309, 325, 342, 507, 525, 551, 587, 609, 682, 789, problems MJ pp. 225, 228, 232, 312, 329, 337, 342, 345, 351, 355, 387, 399; TE p problems CONNECTED 2 Bits & Pieces II SE 32-47; TE problems Bits & Pieces II SE 48-61; TE problems 62 problems Bits & Pieces II, pp , 63-64; pp. 15, 32, 86; pp. 23, 24, 27-34, 64; How Likely Is It?, p problems Bits & Pieces II, pp ; pp. 16, 31; pp. 39, problems (calculator use acceptable but not encouraged for multiplying and dividing fractions) 7

8 Comparison of Geometry topics 8 HOLT TEXAS TEXAS EVERYDAY CONNECTED 2 Perimeter of polygons introduced SE & TE problems practiced 172 times pp. 12, 48, 53, 58, 62, 71, 72, 72, 76, 91, 93, 97, 97, 98, 103, 103, 104, 104, 107, 116, 116, 121, 125, 130, 134, 139, 141, 144, 149, 155, 159, 166, 172, 172, 176, 177, 180, 185, 189, 191, 193, 195, 199, 203, 209, 216, 219, 221, 223, 237, 239, 243, 249, 253, 256, 257, 270, 272, 274, 278, 280, 284, 288, 293, 297, 304, 305, 321, 322, 323, 327, 335, 336, 341, 342, 345, 347, 348, 351, 353, 356, 358, 362, 365, 371, 374, 377, 388, 394, 397, 402, 406, , 415, 416, 424, 425, 430, 434, 439, 446, 454, 455, 458, 460, 463, 468, , , 485, 507, 515, 522, 537, , 546, 552, 556, 559, 560, 565, 576, 577, 590, 596, 600, 601, 610, 619, 628; Cumulative Tests 7, 9, 11, 12, 13, 14, 16, 17, 18, 20, 21, 23 SE & TE problems 63 times pp. 31, 58, 75, 80, 92, 107, 107, 111, 115, 129, 152, 165, 176, 178, 225, 287, 305, 312, 313, 328, 337, 404, 418, 418, 421, 422, 442, 450, 454, 499, 509, 665, 755, 777 SE & TE problems 54 times pp. TX25, TX27, 66, 67, 146, 157, 221, 241, 455, 479, 520, 526, 527, 532, 533, 537, 542, 553, 555, 556, 562, 566, 582, 593, 732, 771 SE & TE problems 10 times pp. lii [sic], 115, 133, 231, 384, 436, 470, 473, 551 SE & TE problems 28 times pp. 46, 269, 493, 504, 505, 522, 525, 589, 639, 685, 695, 697, 704 TE p. 17; MJ p. 2 1 problem 46 times MJ pp. 8, 15, 18, 26, 32, 45, 94, 118, 317, 364, 376; MM pp. 246, 15, 273, 274, 395, 287, 139, 351, 160, 371, 416; TE p. 69 Covering and Surrounding SE 5-18; TE problems 149 times pp. 20, 21, 25-35, 38, 39, 44-52, 54, 58-68, 83-87, 92; p. 16 Area of squares and rectangles introduced SE & TE problems practiced 119 times pp. 169, 172, 174, 176, 177, 180, 185, 189, 193, 199, 203, 204, 209, 216, 219, 223, 224, 229, 235, 237, 243, 253, 256, 262, 270, 274, 280, 283, 284, 288, 293, 297, 304, 305, 308, 312, 316, 322, 323, 327, 331, 335, 336, 341, 342, 345, 348, 351, 352, 353, 356, 362, 365, 368, 373, 377, 383, 389, 394, 402, 406, 411, 412, 416, 425, 446, 459, 474, 483, 495, 531, 540, 542, 547, 552, 556, , 565, 571, 577, 585, 590, 600, 604, 610, 614, 615, 625, 628; Cumulative Tests 7, 9, 10, 11, 12, 13, 14, 16 SE & TE problems 87 times pp. 80, 81, 92, 107, 107, 111, 115, 129, 178, 183-5, 191, 192, 196, 201, 202, 206, 211, 221, 223, 225, 246, 283, 287, 353, , 355, 386, 396, 400, 418, 418, 421, 422, 445, 451, 476, 499, 509, 512, 532, 534, 535, 537, 540, 549, 563, 566, 567, 569, 583, 644, 665, 671, 677, 777, 783, 785 SE & TE problems 81 times pp. TX5-TX8, TX26, 25, 56, 64, 66, 67, 82-84, 94, 97, 98, 145, 146, 147, 171, 366, 388, 392, 520, 546, , , 562, 572, 582, 590, 591, 593, 594, 595, 663, 719, 733, 769 SE & TE problems 35 times pp. 146, 163, 267, , 435, 453, 460, 468, 470, 486, 506, 576, 602, 617, 628, 629, 635 SE & TE problems 36 times pp. 45, 72, 73, 75, 85, 106, 237, 242, 403, 503, 513, 519, 527, 541, 556, TX11, TX17, 584, 586, 589, 612, 664, 695, 705 MJ p. 8 1 problem About 53 times MJ pp. 15, 47, 144, 231, 340, 341, 362, 364, 365, 376; MM pp. 246, 15, 34, 273, 274, 395, 359, 7, 149, 366, 367, 160, 414; TE pp. 56, 69, 741 SE 5-18; TE problems 107 times pp. 20, 21, 24, 26-35, 38, 50, 57-59, 61-67, 77, 83-87, 91, 92; pp. 32, 33, 48 Area of parallelograms introduced SE & TE problems practiced 28 times pp. 247, 388, 394, 398, 415, 424, 430, 434, 439, 445, 450, 454, 463, , 483, 492, 496, 502, 537, 546, 596, 605, 619, 624; Cumulative Tests 15, 17, 20 SE & TE problems 15 times pp. 522, 537, 540, 559, 559, 563, 568, 785 SE & TE problems 9 times pp. 551, 553, 554, 562, 590, 716, 733 SE & TE problems 9 times pp. 436, 468, 470, 522, 628, 629 SE & TE problems 16 times pp. 504, 505, 523, 525, 587, 686, 704 MJ p. 94; MM p problem 8 times MJ pp. 144, 362, 364; MM pp. 34, 366, 367, 160, 416 SE 53-68; TE problems 3 times p. 92; pp. 32, 48 Area of triangles introduced SE & TE problems practiced 56 times pp. 362, 383, 393, 398, 415, 416, 434, 438, 440, 440, 450, 458, 459, 463, 468, 474, 482, 486, 487, 492, 507, 515, 522, 532, 537, 541, 547, 552, 556, , 565, 571, 576, 585, 591, 595, 596, , 614, 615, 629; Cumulative Tests 16, 17, 18, 19, 22 SE & TE times pp. 534, 535, 537, 540, 560, 560, 563, 567, 568, 668, 785 SE & TE problems 26 times pp. TX8, 56, 63, , , 556, 558, 562, 591, 594, 733, 756, 771 SE & TE problems 10 times pp. 436, 468, 470, 472, 506, 628 SE & TE problems 26 times pp. 505, 513, 523, 525, 578, 686, 704 MJ p. 95; MM p problems 11 times MJ pp. 144, 317, 362, 364, 365, 387; MM pp. 366, 371, 416 SE 37-52; TE problems 27 times pp. 56, 61-67, 83-87, 91, 92; pp. 32, 48 Area of circles introduced SE & TE problems practiced 16 times pp. 459, 463, 467, 482, 491, 495, 512, 522, 536, 546, 564, 577, 600, 610, 614, 625 SE & TE problems 19 times pp. 549, 561, 561, 563, 566, 568, 625, 665, 677, 785 SE & TE pp problems 19 times pp. TX 26, 562, 566, 572, 591, 593, 594, 733 SE & TE problems 17 times pp. 456, 461, 469, 470, 471, 506, 551, 590, 628 not covered MJ p problems 8 times MJ pp. 255, 361, 362, 365, 393, 401; MM pp. 414, 416 SE 75-88; TE problems 6 times p. 92; pp. 32, 47, 69

9 Comparison of Geometry topics (concluded) 9 HOLT TEXAS TEXAS EVERYDAY CONNECTED 2 Circumference of a circle introduced Using π = 3.14 or 22/7 practiced value of π memorized SE & TE problems 54 times pp. 252, 254, 258, 262, 270, 274, 276, 278, 284, 288, 298, 308, 313, 322, 328, 331, 341, 348, 373, 377, 383, 388, 393, 403, 407, 411, 425, 446, 450, 451, 463, 491, 511, 516, 523, 556, 560, 571, 573, 577, 586, 590, 592, 596, 604, 610, 619, 628; Cumulative Tests 11, 12, 17, 21, 23 Supplies 3.14 on tests, sometimes 22/7 on class work; occasionally suggests using 3 to estimate circumference SE & TE problems 41 times pp. 537, 540, 560, 563, 566, 568, 665, 677, 733, 785 both 3.14 and 22/7; never suggests using 3 to estimate answers SE & TE pp problems 35 times pp. TX26, TX27, 526, 532, 533, 537, 566, 595, 671, 732, 756 Supplies 3.14 or 22/7 when testing; advises use of 3 for estimating SE & TE problems 12 times pp. 447, 466, 469, 470, 551, 628, 629 Provides 3.14 or 22/7 for practice, but not on tests or quizzes; p. 629, #s 28, 29, 33 advise using 3 for π to estimate answers SE & TE problems 13 times pp. 504, 505, 522, 525, 536, 588, 687, 704 Calls for calculator when π = 3.14; lets π = 3 when estimating w/o calculator [except 5 problems (pp. 536, 588, 704) omit calculator; answers based on 3.14] TE pp MJ p. 95; MM p problems 10 times MJ pp. 173, 187, 339, 365, 369, 393, 401; MM pp. 246, 161 Usually expects calculator use when computing with π; students otherwise free to look up the value in the Student Reference Book SE 72-75, TE 115, 116, 119, problems 3 times p. 92; p. 47 Expects calculator use when using π Volume of prisms introduced SE & TE problems practiced 46 times pp. 434, 439, 445, 449, 454, 458, 460, 464, 465, 468, 477, 486, 495, 511, 514, 522, 523C, 531, 536, 541, 547, 551, 556, 559, 564, 564, 571, 575, 582, 584, 587, 590, 595, 597, 600, 604, 610, 615, 619, 624, 628, ; Cumulative Test 21 SE & TE times pp. 555, 558, 562, 563, , 569, 577, 665, 785 SE & TE problems 32 times pp. TX27, 25, 538, 576, 586, 587, 592, 593, 595, 631, 734, 726, 770 SE & TE times 11 times pp. 163, 165, 466, 470, 473, 503, 628, 629 SE & TE problems 24 times pp. 31, 35, 524, 525, 527, 536, 567, 630, 687, 704 MM p problem 14 times MJ pp. 366, 367, 375, 399; MM pp. 312, 367, 162, 416 TE pp. 40, problems Above problems are enrichment info, not part of the regular program. Surface area of prisms introduced SE & TE problems practiced 8 times pp. 316, 323, 335, 389, 495, 523C SE & TE problems 18 times pp. 555, 558, 562, 563, 565, 566, 567, 569, 785 SE & TE problems 14 times pp. 586, 592, 593, 734, 770 SE & TE problems 5 times pp. 461, 470, 628, 629 SE & TE problems 21 times pp. 524, 525, 536, 542, 618, 689, 704 MJ p problem t covered Formulas of all the above memorized? te: TAKS provides formulas and value of π. Total coverage of the above Geometry topics Extra topics covered Formulas tested include perimeter of polygons; area of rectangles, parallelograms, and triangles; circumference; and volume of prisms; tested on Cumulative Tests 7, 9-23 tested on pp. 80, 111, 517, 529, 537, 549, 555, 563 tested on pp. 526, 533, 562, 593, 553, 586, 593 tested on pp. 435, 436, 441, 447, 456, 459, 461, 470 tested on pp. 72, 505, 525 Exception: Formulas for perimeter of polygons and area of squares and rectangles were tested on TE 69 unit 1 assessment, but provided on later assessments. All other geometry formulas were provided on assessments. Thorough Thorough Fair Poor Fair Minimal Introduces surface area of cylinders and cones, and volume of pyramids, cylinders, and cones Covers area of trapezoids, volume of cylinders, and surface area of cylinders and pyramids Covers surface area and volume of cylinders Mentions formulas for area of trapezoid and volume of pyramid, but does not ask students to solve them Includes a few problems on volume of cylinders, spheres, and cones, and on area of trapezoids Formulas, if used, are derived intuitively by trial and error (we did not see tests). Inconsistent Strong on some topics, weak on others Briefly introduces area of trapezoids and regular hexagons

10 Does the text teach these properties of multiplication? Commutative Associative Distributive Does the text teach using crossproducts to solve proportions? pp. 13, 247, 428 pp. 30, 62, 237 p. 105 pp How much do these texts stress... "guess & check" 9 problems in problem pp. 28, 32, 164, 169, 390, 395, 441, 573, 602 solving? (mostly logical reasoning) reinventing more efficiently memorized? ; develops understanding incrementally pp. 171, 350 (teaches identity properties also) p. 171 p. 176 pp. T14, problems pp. 34, 38, 763, 772 (P. 34 mentions equations for guess & check exercises.) Miscellaneous comparisons of 6 th grade Math texts HOLT pp , 757, 120B (teaches identity properties also) pp , 757, 120B pp , 757, 120B pp. 363, 352B 2 problems p. 741 TEXAS pp. 13, 52 (teaches other properties as well as these 3) pp. 13, 52 pp , 151 pp. 304C, problems pp. 125, 126, 127, 586 TEXAS (P. 573 refers to, but does not define, it. P. 561, Activity 1, bullet 2 suggests teacher use the term but SE never defines it.) P. 295 says Course 2 will cover this. 32 problems pp. 54, 55, 57-59, 72, 73, 79, 164, 664 Usually teaches EVERYDAY SRB = Student Reference Book Mentioned in SRB (p. 102) but not directly taught; students identify examples of each on MJ p. 223, with help from SRB TE pp ; MJ p. 343; MM pp. 147, 360 Teacher's Reference Manual pp ; TE p. 589; MM p. 336 (family letter) About 20 problems TE p. 495; MJ pp "Trial and Error" not considered "guessing" Students often learn non- or invent their own. CONNECTED 2 thing in SE; mentioned in TE 39 thing in SE; mentioned in Bits & Pieces II & III TEs, pp. 71 & 93 respectively Possible indirect exposure to concept of proportions in some problems 10 t specified Prime Time, SE p. 25, TE p. 41 mention that conjectures are a "best guess" that must be proven. Protracted student efforts to invent own preempt class time, multiply redundancies.