correlated to the Grade 8 Georgia Quality Core Curriculum McDougal Littell 3/2000
Objective (Cite Numbers) M.8.1 Component Strand/Course Content Standard All Strands: Problem Solving; Algebra; Computation & Estimation; Geometry; Measurement; Number & Number Relationships; Number Systems & Number Theory; Patterns & Functions; Probability; Statistics Solves problems, reasons, and estimates throughout mathematics. -Selects and uses problem-solving strategies such as reading the problem, drawing a picture or diagram, using trial and error, making a table or chart, looking for patterns, making a simpler problem and then generalizing, working backwards, etc. Where Taught (If print component, cite page number; if non-print, cite appropriate location.) PE: 3, 4, 12, 14, 15, 20, 21, 26, 27, 39, 40, 41, 60-63, 70, 82-87, 88-91, 112, 113, 123, 128, 134, 138-141, 142, 144, 162, 168 171, 182-187, 189, 190, 191, 192-196, 197, 199, 200, 216, 220-224, 231, 260, 286, 304, 305, 332, 337, 339, 350-353, 372-375, 378, 382-385, 392, 393, 400, 406, 416, 418-419, 422, 426-429, 437, 444, 446, 457, 463, 466, 472, 473, 476, 480, 481, 486, 489, 491, 496, 529, 542-545, 552-555, 578, 593, 594, 597, 598, 622, 645, 648-651, 705, 742-745 TE: 1A-F, 3, 4, 12, 14, 15, 20, 21, 26, 27, 39, 40, 41, 48A-F, 60-63, 70, 82-87, 88-91, 102A-F, 112, 113, 123, 128, 134, 138-141, 142, 144, 154A-F, 162, 168 171, 182-187, 189, 190, 191, 192-196, 197, 199, 200, 202A-F, 216, 220-224, 231, 252A-F, 260, 286, 304, 305, 308A-F, 332, 337, 339, 350-353, 360A-F, 372-375, 378, 382-385, 392, 393, 400, 406, 408A-F, 416, 418-419, 422, 426-429, 437, 444, 446, 457, 458A-F, 463, 466, 472, 473, 476, 480, 481, 486, 489, 491, 496, 510A-F, Page 1
529, 542-545, 552-555, 562A-F, 578, 593, 594, 597, 598, 616A-F, 622, 645, 648-651, 666A-F, 705, 742-745 -Selects and uses appropriate tools (such as mental computation, calculators, manipulative materials, paper and pencil, computer) in solving problems. PE: 7, 8, 10, 11, 12, 13, 15, 16, 17, 18, 20, 21, 30-31, 36, 38, 40, 44, 45, 50-52, 54, 56, 60-63, 64-65, 66, 68, 70, 71, 74, 77, 108-109, 113, 114, 116, 119, 124-125, 126, 128, 134, 137, 140, 142, 152, 156-157, 162, 167, 177, 188, 189, 190, 200, 213, 236, 240-241, 242-245, 244, 249, 254, 264, 265, 279, 281-291, 292, 302, 304, 306, 312, 314-315, 320, 322, 332, 345, 346, 348, 370, 378, 397, 400, 405, 412, 413, 417, 418-419, 422, 424, 425, 428, 430, 431, 456, 464-467, 474, 478, 492-493, 499, 505, 508, 514, 518, 521 519, 524-525, 528, 532-533, 551-555, 560, 564-565, 568, 570, 587, 590-591, 593, 602, 612, 617, 622-632, 633, 634-638, 640-641, 642-655, 681, 683, 703 TE: 1A-F, 7, 8, 10, 11, 12, 13, 15, 16, 17, 18, 20, 21, 30-31, 36, 38, 40, 44, 45, 48A-F, 50-52, 54, 56, 60-63, 64-65, 66, 68, 70, 71, 74, 77, 102A-F, 108-109, 113, 114, 116, 119, 124-125, 126, 128, 134, 137, 140, 142, 152, 154A-F, 156-157, 162, 167, 177, 188, 189, 190, 200, 202A-F, 213, 236, 240-241, 242-245, 244, 249, 252A-F, 254, 264, 265, 279, 281-291, 292, 302, 304, 306, 308A-F, 312, 314-315, 320, 322, 332, 345, 346, 348, 360A-F, 370, 378, 397, 400, 405, 408A-F, 412, 413, 417, 418-419, 422, 424, 425, 428, 430, 431, 456, 458A-F, 464-467, 474, 478, 492-493, 499, 505, 508, 510A-F, 514, 518, 521 519, 524-525, 528, 532-533, 551-555, 560, 562A-F, 564-565, 568, 570, 587, 590-591, 593, 602, 612, 616A-F, 617, 622-632, 633, 634-638, 627, 640-641, 642-655, 666A-F, 681, 683, 692-693, 703 Page 2
-Uses appropriate estimation strategies (such as front-end, breaking numbers apart, compatible numbers, guess and check, clustering, rounding, compensation) to check the reasonableness of results. -Solves nonroutine problems for which the answer is not obvious. -Relates concepts and skills to practical applications. PE: 11, 12, 15, 141, 167, 188, 286, 320-323, 345, 349, 412, 430, 431, 476, 578, 594, 597, 598, 705, 744, 745 TE: 11, 12, 15, 141, 167, 188, 286, 308A-F, 320-323, 345, 349, 412, 430, 431, 476, 578, 594, 597, 598, 705, 744, 745 PE: 1, 5, 9, 25, 28, 29, 49, 54, 55, 58, 59, 63, 69, 75, 81, 103, 106, 107, 113, 117, 135, 136, 141, 145, 155, 161, 171, 181, 185, 186, 195, 203, 207, 211, 224, 229, 234, 253, 257, 268, 269, 273, 283, 297, 309, 319, 327, 334, 339, 347, 361, 365, 371, 375, 379, 385, 390, 395, 401, 409, 413, 423, 430, 436, 441, 459, 467, 476, 477, 482, 487, 491, 511, 515, 520, 529, 545, 554, 555, 563, 575, 579, 584, 589, 601, 605, 617, 621, 625, 631, 638, 655, 667, 670, 671, 675, 680, 681, 685, 691 TE: 1A-F, 1, 5, 9, 25, 28, 29, 48A-F, 49, 54, 55, 58, 59, 63, 69, 75, 81, 102A-F, 103, 106, 107, 113, 117, 135, 136, 141, 145, 154A-F, 155, 161, 171, 181, 185, 186, 195, 202A-F, 203, 207, 211, 224, 229, 234, 252A-F, 253, 257, 268, 269, 273, 283, 297, 308A-F, 309, 319, 327, 334, 339, 347, 360A-F, 361, 365, 371, 375, 379, 385, 390, 395, 401, 408A-F, 409, 413, 423, 430, 436, 441, 458A-F, 459, 467, 476, 477, 482, 487, 491, 510A-F, 511, 515, 520, 529, 545, 554, 555, 562A-F, 563, 575, 579, 584, 589, 601, 605, 616A-F, 617, 621, 625, 631, 638, 655, 666A-F, 667, 670, 671, 675, 680, 681, 685, 691 PE: 23, 25, 26-29, 35, 36, 37, 39, 53, 55, 61, 67, 69, 70, 73, 77, 79, 81, 82-85, 86, 87, 88-91, 93, 95, 100, 111, 112, 117, 123, 127, 128, 129, 130, 131, 133, 138-141, 145, 148, 159, 163, 165, 166, 168-171, 173, 175, 182-185, 187, 189, 190, Page 3
191, 192-195, 199, 204-207, 208-211, 212, 214-217, 218-219, 220-223, 224, 225, 226-229, 278, 229, 230-233, 234, 235, 236-239, 243, 245, 256, 257, 263, 287, 289, 291, 293, 302, 306, 311, 313, 317, 319, 321, 323, 325, 331, 337, 345, 346, 347, 348, 349, 350-353, 355, 357, 362, 363, 364, 365, 372-375, 376-379, 382-383, 384, 385, 386-389, 393, 396, 397, 404, 406, 411, 420, 424, 426-429, 430, 431, 434, 435, 437, 439, 441, 443, 447, 456, 457, 461, 463, 467, 471, 473, 479, 498, 508, 512, 513, 517, 520, 529, 534, 539, 541-545, 550, 552-555, 566, 567, 568, 576, 577, 580, 581, 583, 585, 586, 587, 592, 593, 596, 597, 600, 601, 619, 623, 625, 631, 632, 635, 639, 645, 648-651, 653, 657, 668-671, 672-675, 676-679, 682, 683, 687, 689, 705 TE: 1A-F, 23, 25, 26-29, 35, 36, 37, 39, 48A-F, 53, 55, 61, 67, 69, 70, 73, 77, 79, 81, 82-85, 86, 87, 88-91, 93, 95, 100, 102A-F, 111, 112, 117, 123, 127, 128, 129, 130, 131, 133, 138-141, 145, 148, 154A-F, 159, 163, 165, 166, 168-171, 173, 175, 182-185, 187, 189, 190, 191, 192-195, 199, 202A-F, 204-207, 208-211, 212, 214-217, 218-219, 220-223, 224, 225, 226-229, 278, 229, 230-233, 234, 235, 236-239, 243, 245, 252A-F, 256, 257, 263, 287, 289, 291, 293, 302, 306, 308A-F, 311, 313, 317, 319, 321, 323, 325, 331, 337, 345, 346, 347, 348, 349, 350-353, 355, 357, 360A-F, 362, 363, 364, 365, 372-375, 376-379, 382-383, 384, 385, 386-389, 393, 396, 397, 404, 406, 408A-F, 411, 420, 424, 426-429, 430, 431, 434, 435, 437, 439, 441, 443, 447, 456, 457, 4568A-F, 461, 463, 467, 471, 473, 479, 498, 508, 510A-F, 512, 513, 517, 520, 529, 534, 539, 541-545, 550, 552-555, 562A-F, 566, 567, 568, 576, 577, 580, 581, 583, 585, 586, 587, 592, 593, 596, Page 4
597, 600, 601, 616A-F, 619, 623, 625, 631, 632, 635, 639, 645, 648-651, 653, 657, 666A-F, 668-671, 672-675, 676-679, 682, 683, 687, 689, 705 M.8.2 Describes orally and in writing, using the appropriate mathematical vocabulary, mathematical concepts and procedures, such as solving a word problem or computing. PE: 2, 3, 4, 7, 11, 17, 21, 23, 27, 29, 30-31, 33, 39, 41, 50-51, 53, 54, 56, 57, 61, 62, 64-65, 67, 71, 73, 82, 83, 88, 89, 93, 99, 105, 108-109, 111, 115, 119, 120, 121, 124-125, 127, 132, 133, 139, 140, 143, 156-157, 159, 163, 169, 173, 174, 177, 179, 180, 183, 188, 189, 193, 209, 215, 217, 221, 227, 230, 231, 232, 237, 239, 243, 255, 257, 261, 265, 267, 271, 284, 285, 286, 289, 311, 312, 314-315, 317, 321, 325, 326, 331, 335, 337, 342, 345, 351, 357, 363, 369, 373, 377, 382, 383, 387, 393, 399, 411, 415, 416, 418-419, 421, 422, 425, 427, 433, 438, 439, 443, 447, 461, 465, 467, 469, 471, 475, 479, 481, 483, 485, 486, 489, 490, 491, 492-493, 495, 501, 503, 508, 513, 517, 518, 521, 523, 527, 528, 531, 537, 538, 540-541, 542, 543, 547, 553, 564-565, 567, 571, 573, 574, 577, 581, 582, 587, 590-591, 593, 594, 597, 602, 603, 619, 622, 623, 624, 629, 633, 635, 643, 649, 652, 653, 655, 657, 669, 673, 677, 679, 683, 692-693, 695, 699, 705, 707 TE: 1A-F, 2, 3, 4, 7, 11, 17, 21, 23, 27, 29, 30-31, 33, 39, 41, 48A-F, 50-51, 53, 54, 56, 57, 61, 62, 64-65, 67, 71, 73, 82, 83, 88, 89, 93, 99, 102A-F, 105, 108-109, 111, 115, 119, 120, 121, 124-125, 127, 132, 133, 139, 140, 143, 154A-F, 156-157, 159, 163, 169, 173, 174, 177, 179, 180, 183, 188, 189, 193, 202A-F, 209, 215, 217, 221, 227, 230, 231, 232, 237, 239, 243, 252A-F, 255, 257, 261, 265, 267, 271, 284, 285, 286, 289, 308A-F, 311, 312, 314-315, 317, 321, 325, 326, 331, 335, 337, 342, 345, 351, 357, 360A-F, 363, 369, 373, 377, Page 5
382, 383, 387, 393, 399, 408A-F, 411, 415, 416, 418-419, 421, 422, 425, 427, 433, 438, 439, 443, 447, 458A-F, 461, 465, 467, 469, 471, 475, 479, 481, 483, 485, 486, 489, 490, 491, 492-493, 495, 501, 503, 508, 510A-F, 513, 517, 518, 521, 523, 527, 528, 531, 537, 538, 540-541, 542, 543, 547, 553, 562A-F, 564-565, 567, 571, 573, 574, 577, 581, 582, 587, 590-591, 593, 594, 597, 602, 603, 616A-F, 619, 622, 623, 624, 629, 633, 635, 643, 649, 652, 653, 655, 657, 666A- F, 669, 673, 677, 679, 683, 692-693, 695, 699, 705, 707 M.8.3 M.8.4 Uses scientific calculator and computer skills to solve problems, to discover patterns and sequences, to investigate situations and draw conclusions. Uses computer software and applications to research, investigate, and analyze data using charts, tables, graphs, or other presentation forms. PE: 8, 10, 11, 12, 13, 15, 16, 18, 20, 36, 38, 40, 44, 45, 54, 68, 74, 77, 114, 116, 126, 137, 140, 152, 167, 188, 189, 190, 200, 213, 240-241, 254, 264, 279, 282, 283, 284, 286, 292, 302, 306, 312, 322, 346, 348, 370, 397, 412, 413, 417, 422, 424, 428, 430, 431, 456, 499, 551-555, 560, 568, 570, 593, 612, 617, 627, 631, 640-641, 681, 683 TE: 1A-F, 8, 10, 11, 12, 13, 15, 16, 18, 20, 36, 38, 40, 44, 45, 48A-F, 54, 68, 74, 77, 102A-F, 114, 116, 126, 137, 140, 152, 154A-F, 167, 188, 189, 190, 200, 202A-F, 213, 240-241, 252A-F, 254, 264, 279, 282, 283, 284, 286, 292, 302, 306, 308A-F, 312, 322, 346, 348, 360A-F, 370, 397, 408A-F, 412, 413, 417, 422, 424, 428, 430, 431, 456, 458A-F, 499, 510A-F, 551-555, 560, 562A-F, 568, 570, 593, 612, 616A-F, 617, 627, 631, 640-641, 666A-F, 681, 683 PE: 77, 189, 348, 397, 499, 681 TE: 48A-F, 77, 154A-F, 189, 308A-F, 348, 360A-F, 397, 458A-F, 499, 681 Page 6
Algebra M.8.5 M.8.6 Identifies the use of a variable as a placeholder in algebraic expressions, equations, and inequalities. Uses signs or symbols to represent words, phrases, numbers, or quantities. PE: 22-25, 50-51, 52-55, 56-59, 60-63, 64-65, 66-69, 70, 71, 72-75, 76, 78-81, 82-85, 86, 87, 88, 90, 91, 92-95, 97, 98, 99, 100, 106, 107, 112, 113, 115, 117, 118, 121, 123, 128, 130, 134, 138-141, 149, 150, 156-157, 158-161, 162-165, 166, 167, 168-171, 172-175, 176, 177, 178-181, 183, 184, 185, 186, 188-191, 192-195, 197, 198, 199, 200, 201, 311, 312, 324, 328, 368-371, 372-375, 376-379, 380, 381, 382, 390, 403, 404, 406, 407, 420-423, 424, 426-429, 430, 431, 432-435, 436, 438-441, 442-445, 452, 453, 454, 455, 456, 541-545, 552-555, 618-621, 639, 661, 664, 751, 752, 753, 755 TE: 1A-F, 22-25, 48A-F, 50-51, 52-55, 56-59, 60-63, 64-65, 66-69, 70, 71, 72-75, 76, 78-81, 82-85, 86, 87, 88, 90, 91, 92-95, 97, 98, 99, 100, 102A-F, 106, 107, 112, 113, 115, 117, 118, 121, 123, 128, 130, 134, 138-141, 149, 150, 154A-F, 156-157, 158-161, 162-165, 166, 167, 168-171, 172-175, 176, 177, 178-181, 183, 184, 185, 186, 188-191, 192-195, 197, 198, 199, 200, 201, 308A-F, 311, 312, 324, 328, 360A-F, 368-371, 372-375, 376-379, 380, 381, 382, 390, 403, 404, 406, 407, 408A-F, 420-423, 424, 426-429, 430, 431, 432-435, 436, 438-441, 442-445, 452, 453, 454, 455, 456, 510A-F, 541-545, 552-555, 616A-F, 618-621, 639, 661, 664, 751, 752, 753, 755 PE: 59, 61, 63, 67, 69, 70, 73, 75, 78-81, 82-86, 87, 88, 90, 91, 92-95, 98, 99, 100, 101, 112, 131, 159, 160, 161, 163, 164, 165, 169, 171, 173, 174, 175, 176, 179, 181, 183, 184, 185, 187, 189, 190, 191, 200, 201, 304, 374, 434, 435, 439, 441, 443, 445, 453, 655, 751, 752, 753, 755 Page 7
TE: 48A-F, 59, 61, 63, 67, 69, 70, 73, 75, 78-81, 82-86, 87, 88, 90, 91, 92-95, 98, 99, 100, 101, 102A-F, 112, 131, 154A- F, 159, 160, 161, 163, 164, 165, 169, 171, 173, 174, 175, 176, 179, 181, 183, 184, 185, 187, 189, 190, 191, 200, 201, 304, 374, 408A-F, 434, 435, 439, 441, 443, 445, 453, 655, 751, 752, 753, 755 M.8.7 M.8.8 Translates English phrases and sentences into mathematical/algebraic expressions, equations, and inequalities. Determines the number that makes a given number sentence true using the properties of equations. PE: 59, 61, 63, 67, 69, 73, 75, 78-81, 82-86, 87, 88, 90, 91, 92-95, 98, 99, 100, 101, 112, 131, 159, 160, 161, 163, 164, 165, 169, 171, 173, 174, 175, 176, 179, 181, 183, 184, 185, 187, 189, 190, 191, 200, 201, 304, 374, 434, 435, 439, 441, 443, 445, 453, 655, 751, 752, 753, 755 TE: 48A-F, 59, 61, 63, 67, 69, 70, 73, 75, 78-81, 82-86, 87, 88, 90, 91, 92-95, 98, 99, 100, 101, 102A-F, 112, 131, 154A- F, 159, 160, 161, 163, 164, 165, 169, 171, 173, 174, 175, 176, 179, 181, 183, 184, 185, 187, 189, 190, 191, 200, 201, 304, 374, 408A-F, 434, 435, 439, 441, 443, 445, 453, 655, 751, 752, 753, 755 PE: 60-63, 64-65, 66-69, 70, 71, 72-76, 97, 98, 100, 113, 128, 134, 138-141, 156-157, 158-161, 162-166, 168-171, 172-175, 176, 177, 178-181, 188-191, 197, 198, 199, 200, 286, 304, 378, 751, 752, 753, 755 TE: 48A-F, 60-63, 64-65, 66-69, 70, 71, 72-76, 97, 98, 100, 102A-F, 113, 128, 134, 138-141, 154A-F, 156-157, 158-161, 162-166, 168-171, 172-175, 176, 177, 178-181, 188-191, 197, 198, 199, 200, 286, 304, 378, 751, 752, 753, 755 Page 8
M.8.9 M.8.10 M.8.11 Uses order of operations to simplify numerical expressions. Evaluates algebraic expressions using substitution. Solves single- and multi-step algebraic equations (including formulas) and inequalities using addition, subtraction, multiplication, and division. PE: 16-19, 20, 44, 46, 136#15-20, 224#1-6, 304#15-20, 716 TE: 1A-F, 16-19, 20, 44, 46, 136#15-20, 224#1-6, 304#15-20, 716 PE: 22-25, 36, 38, 44, 58, 62#16-19, 76, 115, 117, 118, 121, 122, 128, 130, 134, 152, 166 #1-3, 305#39-44, 390#12-15, 716 TE: 1A-F, 22-25, 36, 38, 44, 54A-F, 58, 62#16-19, 76, 102A- F, 115, 117, 118, 121, 122, 128, 130, 134, 152, 166 #1-3, 305#39-44, 390#12-15, 716 PE: 60-63, 64-65, 66-69, 70, 71, 72-75, 82-85, 86, 87, 88, 90, 91, 92-95, 97, 98, 99, 100, 112, 113, 118, 128, 130, 134, 138, 140, 150, 153, 156-157, 158-161, 162-165, 166, 167, 168-171, 172-175, 176, 177, 178-181, 183, 184, 185, 186, 187, 188-191, 192-195, 197, 198, 199, 200, 201 311, 312, 376-379, 381, 404, 432, 434, 436, 438-441, 442-445, 453, 454, 456, 562A-F, 566-569, 570, 576-579, 580-584, 586-589, 592-595, 596-599, 600, 601, 607, 608, 609, 610, 611, 751 TE: 48A-F, 60-63, 64-65, 66-69, 70, 71, 72-75, 82-85, 86, 87, 88, 90, 91, 92-95, 97, 98, 99, 100, 102A-F, 112, 113, 118, 128, 130, 134, 138, 140, 150, 153, 154A-F, 156-157, 158-161, 162-165, 166, 167, 168-171, 172-175, 176, 177, 178-181, 183, 184, 185, 186, 187, 188-191, 192-195, 197, 198, 199, 200, 201, 308A-F, 311, 312, 360A-F, 376-379, 381, 404, 408A-F, 432, 434, 436, 438-441, 442-445, 453, 454, 456, 562A-F, 566-569, 570, 576-579, 580-584, 585, 586-589, 592-595, 596-599, 600, 601, 607, 608, 609, 610, 611, 751 Page 9
M.8.12 M.8.13 Finds the absolute value of any real number. Sets up a proportion and solves for the missing term in a proportion. PE: 104-107, 113#44-45, 147, 150, 152#16-17, 304#15-16, 390#5-8, 719 TE: 102A-F, 104-A07, 113#44-45, 147, 150, 152#16-17, 304#15-16, 390#5-8, 719 PE: 368-371, 372-375, 381, 403, 406, 728, 729, 752 TE: 360A-F, 368-371, 372-375, 381, 403, 406, 728, 729, 752 M.8.14 Graphs simple and compound inequalities on a number line. PE: 431-435, 436, 440, 442, 444, 453, 454, 455, 731 TE: 408A-F, 431-435, 436, 440, 442, 444, 453, 454, 455, 731 M.8.15 Algebra; Patterns & Functions Examines relations (functions) to determine how changes in one variable can effect another variable (e.g., Given b = 2a, If a = 2, then b = 4. If a = 3, then b = 6). PE: 57, 59, 100, 294, 295, 296, 618-621, 622, 623, 624, 625, 626, 648, 649, 650, 651, 661, 663, 664, 665, 689, 691, 738 TE: 48A-F, 57, 59, 100, 252A-F, 294, 295, 296, 616A-F, 618-621, 622, 623, 624, 625, 626, 648, 649, 650, 651, 661, 663, 664, 665, 689, 691, 738 M.8.16 Algebra; Problem Solving Writes and solves an equation or simple inequality for a given word problem. PE: 61, 63, 67, 69, 73, 75, 82-86, 87, 88, 90, 91, 92-95, 98, 99, 100, 112, 131, 159, 160, 161, 163, 164, 169, 171, 173, 174, 175, 176, 179, 181, 183, 184, 185, 187, 189, 190, 191, 200, 304, 374, 439, 441, 443, 445, 718, 719, 722, 751 Page 10
TE: 48A-F, 61, 63, 67, 69, 73, 75, 82-86, 87, 88, 90, 91, 92-95, 98, 99, 100, 102A-F, 112, 131, 154A-F, 159, 160, 161, 163, 164, 169, 171, 173, 174, 175, 176, 179, 181, 183, 184, 185, 187, 189, 190, 191, 200, 304, 374, 408A-F, 439, 441, 443, 445, 718, 719, 722, 751 Algebra; Geometry; Measurement M.8.17 Applies formulas (e.g., area, perimeter, circumference, volume, surface area), including investigating and using the Pythagorean Theorem. PE: 23, 33, 44, 85, 127, 129, 175, 192-195, 199, 242-245, 348, 366-367, 411, 412, 413, 420-423, 426-429, 452, 492-493, 495, 512-515, 555, 557, 566-569, 570, 576-579, 580-583, 586-589, 592-595, 596-599, 608, 619, 621, 634-637, 645, 656-659, 663, 702, 722, 724, 731, 734, 736-739, 754, 755, 756 TE: 23, 33, 44, 85, 127, 129, 175, 154A-F, 192-195, 199, 202A-F, 242-245, 348, 360A-F, 366-367, 408A-F, 411, 412, 413, 420-423, 426-429, 452, 458A-F, 492-493, 495, 510A-F, 512-515, 555, 557, 562A-F, 566-569, 570, 576-579, 580-583, 586-589, 592-595, 596-599, 608, 616A-F, 619, 621, 634-637, 645, 656-659, 663, 702, 722, 724, 731, 734, 736-739, 754, 755, 756 M.8.18 Computation & Estimation Adds, subtracts, multiplies, and divides integers and other rational numbers. PE: 108-117, 119-123, 124-129, 132-135, 147, 148, 149, 150, 310-313, 314-315, 316-319, 320-323, 324-327, 328, 329, 330-333, 334, 355, 356, 358, 747, 748 Page 11
TE: 102A-F, 108-117, 119-123, 124-129, 132-135, 147, 148, 149, 150, 308A-F, 310-313, 314-315, 316-319, 320-323, 324-327, 328, 329, 330-333, 334, 355, 356, 358, 747, 748 M.8.19 Performs computations mentally using strategies such as multiples of ten, powers of ten, compensation, breaking apart numbers, or compatible numbers. PE: 60-63, 70, 97, 113, 128, 134, 162, 286, 304, 332, 378, 718 TE: 48A-F, 60-63, 70, 97, 113, 128, 134, 162, 286, 304, 332, 378, 718 M.8.20 M.8.21 Geometry Classifies plane and solid geometric figures based on their properties/characteristics (number or length of sides, angle measures, edges, faces, or vertices). This includes quadrilaterals (trapezoid, parallelogram, square, rectangle, rhombus); triangles (acute, obtuse, right, equilateral, isosceles, scalene); solids (prism, pyramid, cone, cylinder, sphere); and n-gons (pentagon, hexagon, octagon). Identifies physical and symbolic representations using appropriate labeling of geometric figures, such as points, lines, line segments, rays, polygons, vertices, angles, and diagonals. PE: 32-35, 45, 46, 215, 418, 420, 478-482, 483, 484-487, 489, 490, 491, 492-493, 494-497, 498, 506, 507, 508, 509, 571, 572-575, 607, 610, 717, 733 TE: 1A-F, 32-35, 45, 46, 215, 418, 420, 458A-F, 478-482, 483, 484-487, 489, 490, 491, 492-493, 494-497, 498, 506, 507, 508, 509, 562A-F, 571, 572-575, 607, 610, 717, 733 PE: 32-35, 45, 46, 142-145, 149, 150, 460-463, 465, 466, 468, 469, 470-473, 478-482, 483, 484-487, 489, 490, 495, 496, 499, 500, 501, 502, 503, 505, 507, 508, 516, 517, 518, 519, 520, 521, 522, 524, 525, 526, 527, 528, 529, 531, 536, 537, 538, 539, 542, 557, 559, 560, 572-575, 585, 607, 610, 721, 732, 734, 735, 758 TE: 1A-F, 32-35, 45, 46, 458A-F, 460-463, 465, 466, 468, Page 12
469, 470-473, 478-482, 483, 484-487, 489, 490, 495, 496, 499, 500, 501, 502, 503, 505, 507, 508, 510A-F, 516, 517, 518, 519, 520, 521, 522, 524, 525, 526, 527, 528, 529, 531, 536, 537, 538, 539, 542, 557, 559, 560, 562A-F, 572-575, 585, 607, 610, 721, 732, 734, 735, 758 M.8.22 Uses properties to determine similarity and congruency of geometric figures. PE: 369, 370, 371, 373, 375, 381, 404, 406, 488-491, 507, 508, 516-519, 521, 522-525, 526-529, 530-533, 534, 535, 536-539, 540-541, 557, 558, 559, 560, 602-605, 609, 610, 728, 733, 734, 735, 737 TE: 360A-F, 369, 370, 371, 373, 375, 381, 404, 406, 458A-F, 488-491, 507, 508, 510A-F, 516-519, 521, 522-525, 526-529, 530-533, 534, 535, 536-539, 540-541, 557, 558, 559, 560, 562A-F, 602-605, 609, 610, 728, 733, 734, 735, 737 M.8.23 M.8.24 Geometry; Problem Solving Solves problems by using the property that the sum of the measures of the angles in a triangle is 180. Uses geometric figures, properties, and relations to solve problems. PE: 479, 480, 483, 492-493, 495, 496, 500, 503, 506, 507, 508, 509 TE: 458A-F, 479, 480, 483, 492-493, 495, 496, 500, 503, 506, 507, 508, 509 PE: 21, 30-31, 32-37, 56-59, 178-181, 192-195, 214-217, 254-257, 270-273, 324-327, 368-371, 418-419, 420-423, 425, 426-429, 430, 448, 449, 463, 467, 473, 477, 481, 482, 487, 491, 497, 498, 503, 515, 520, 539, 545, 549, 555, 566-569, 575, 579, 583, 589, 595, 599, 601, 656-659, 698-702, 717, 722, 725, 727, 728, 736, 739, 741, 754, 755, 756, 757, 758 Page 13
TE: 1A-F, 21, 30-31, 32-37, 48A-F, 56-59, 154A-F, 178-181, 192-195, 202A-F, 214-217, 252A-F, 254-257, 270-273, 308A- F, 324-327, 360A-F, 368-371, 408A-F, 418-419, 420-423, 425, 426-429, 430, 448, 449, 458, 463, 467, 473, 477, 481, 482, 487, 491, 497, 498, 503, 510A-F, 515, 520, 539, 545, 549, 555, 562A-F, 566-569, 575, 579, 583, 589, 595, 599, 601, 616A-, 656-659, 666A-F, 698-702, 717, 722, 725, 727, 728, 736, 739, 741, 754, 755, 756, 757, 758 Geometry; Algebra M.8.25 Identifies and graphs an ordered pair of integers on a four-quadrant coordinate plane. PE: 57, 142-145, 149, 162, 236-239, 522-525, 526-529, 530-533, 535, 537, 539, 558, 560, 561, 622-625, 627, 628-631, 632, 634-638, 639, 640-641, 642-645, 646-647, 648-651, 652-655, 661, 662, 663, 664, 721, 734, 738, 739, 758 TE: 57, 102A-F, 142-145, 149, 162, 202A-F, 236-239, 510A- F, 522-525, 526-529, 530-533, 535, 537, 539, 558, 560, 561, 616A-F, 622-625, 627, 628-631, 632, 634-638, 639, 640-641, 642-645, 646-647, 648-651, 652-655, 661, 662, 663, 664, 721, 734, 738, 739, 758 M.8.26 Geometry; Measurement; Patterns & Functions Analyzes effects of basic transformations on geometric shapes. PE: 474-477, 521, 522-525, 526-529, 530-533, 534, 535, 558, 560, 561, 734, 735, 758 TE: 474-477, 510A-F, 521, 522-525, 526-529, 530-533, 534, Page 14
535, 558, 560, 561, 734, 735, 758 M.8.27 M.8.28 Determines how changing a linear measure on a geometric figures affects area and volume. Measures and draws angles using a protractor and classifies angles by their measures (e.g., acute, obtuse, right, straight, complementary, supplementary). PE: 583, 590-591, 594, 595, 599 TE: 562A-F, 583, 590-591, 594, 595, 599 PE: 164, 464-467, 469, 492-493, 501, 505, 507, 508, 509, 614#52-54 TE: 164, 458A-F, 464-467, 469, 492-493, 501, 505, 507, 508, 509, 614#52-54 M.8.29 Measurement Selects and uses appropriate customary and metric units of measure for length (including perimeter and circumference), area, volume, capacity, weight/mass, time, temperature, and angle measure. PE: 106, 107, 111, 112, 123, 127, 129, 131, 185, 192-195, 205, 207, 237, 349, 362, 363, 364, 371, 372, 373, 374, 375, 381, 396, 406, 420, 423, 426, 427, 428, 429, 430, 431, 435, 437, 464-467, 468, 483, 492-493, 505, 508, 512-515, 521, 542, 544, 545, 553, 554, 555, 559, 560, 566-569, 570, 576-579, 585, 590, 600, 606, 607, 608, 619, 621, 625, 639, 646-647, 687, 748, 752, 754, 755, 756, 763 TE: 102A-F, 106, 107, 111, 112, 123, 127, 129, 131, 154A-F, 185, 192-195, 202A-F, 205, 207, 237, 308A-F, 349, 360A-F, 362, 363, 364, 371, 372, 373, 374, 375, 381, 396, 406, 408A- F, 420, 423, 426, 427, 428, 429, 430, 431, 435, 437, 458A-F, 464-467, 468, 483, 505, 508, 510A-F, 512-515, 521, 542, 544, 545, 553, 554, 555, 559, 560, 562A-F, 566-569, 570, 576-579, 585, 590, 600, 606, 607, 608, 616A-F, 619, 621, 625, 639, 646-647, 666A-F, 687, 748, 752, 754, 755, 756, 763 Page 15
M.8.30 Converts from one metric unit to another metric unit and from one customary unit to another customary unit (length, capacity, weight/mass, time, and money.) PE: 127, 129, 175, 364, 587, 600, 619, 621, 639, 763, 764 TE: 102A-F, 127, 129, 175, 360A-F, 364, 562A-F, 587, 600, 616A-F, 619, 621, 639, 763, 764 M.8.31 M.8.32 M.8.33 M.8.34 M.8.35 Number & Number Relationships Identifies place value for whole numbers and decimals. Uses fraction, decimals, and percents interchangeably, and recognizes equivalent representations. Expresses standard numerals in scientific notation and expresses scientific notation as a standard numeral. Evaluates powers using exponents and bases correctly, and finds square roots. Compares and orders real numbers (whole numbers, integers, fractions, and decimals). Related concepts are taught on the following pages: PE: 288, 290, 291, 340 TE: 252A-F, 288, 290, 291, 340 PE: 336-339, 340-344, 357, 358, 727, 728 TE: 308A-F, 336-339, 340-344, 357, 358, 727, 728 PE: 288-291, 301, 302, 303, 482#10-15, 750#9-25, 726 TE: 252A-F, 288-291, 301, 302, 303, 482#10-15, 750#9-25, 726 PE: 10-13, 14, 20, 44, 46, 284-287, 301, 303, 410-413, 430, 431, 451, 454, 726, 730, 755 TE: 1A-F, 10-13, 14, 20, 44, 46, 252A-F, 284-287, 301, 303, 408A-F, 410-413, 430, 431, 451, 454, 726, 730, 755 PE: 104, 106, 107, 118, 130, 147, 150, 275, 276, 277, 283, 415, 416, 417, 451, 454, 719 TE: 102A-F, 104, 106, 107, 118, 130, 147, 150, 252A-F, 275, 276, 277, 283, 408A-F, 415, 416, 417, 451, 454, 719 Page 16
Number Systems & Number Theory; Algebra M.8.36 M.8.37 M.8.38 M.8.39 M.8.40 Identifies and uses properties of the real number system including associative, commutative, distributive, inverses, identities, and properties of zero and one. Recognizes, describes, and applies the distributive property of multiplication over addition in situations such as combining like terms of linear expressions, and solving equations of the form ax + b = cx + d. Identifies factors and multiples, primes and composites. Writes a given positive integer as the product of a unique set of prime factors (prime factorization). Identifies and applies divisibility, factors, prime factors, greatest common factor, and lowest common multiple. PE: 52-55, 67, 68, 70, 97, 100, 101, 115, 121, 163, 168, 172-174, 198, 695, 698-701, 717 TE: 48A-F, 52-55, 67, 68, 70, 97, 100, 101, 115, 121, 154A- F, 163, 168, 172-174, 198, 666A-F, 695, 698-701, 717 PE: 51, 52-55, 70, 97, 100, 101, 115, 121, 163, 172-174, 198, 695, 698-701, 703, 704-707, 711, 712, 717 TE: 48A-F, 51, 52-55, 70, 97, 100, 101, 115, 121, 154A-F, 163, 172-174, 198, 666A-F, 695, 698-701, 703, 704-707, 711, 712, 717 PE: 6, 72, 258-259, 260-263, 264, 265, 266-269, 270-273, 279, 299, 300, 302, 303, 725, 749 TE: 6, 72, 252A-F, 258-259, 260-263, 264, 265, 266-269, 270-273, 279, 299, 300, 302, 303, 725, 749 PE: 260-263, 264, 279, 299, 302, 303, 725, 749 TE: 252A-F, 260-263, 264, 279, 299, 302, 303, 725, 749 PE: 6, 72, 254-257, 258-259, 260-263, 264, 265, 266-269, 270-273, 279, 299, 300, 302, 303, 725, 749 TE: 6, 72, 252A-F, 254-257, 258-259, 260-263, 264, 265, 266-269, 270-273, 279, 299, 300, 302, 303, 725, 749 Page 17
M.8.41 Identifies subsets of the real numbers, and determines all subsets of which a given number is a member (e.g., The number 9 is a whole, a natural, and a rational number, and 9 is an integer). PE: 104-107, 147, 150, 280-283, 340-343, 357, 358, 414-417, 451, 454, 719, 726, 728, 730 TE: 102A-F, 104-107, 147, 150, 252A-F, 280-283, 308A-F, 340-343, 357, 358, 408A-F, 414-417, 451, 454, 719, 726, 728, 730 M.8.42 Probability Identifies possible outcomes of simple and compound experiments, and predicts or describes the probability of a given event, expressed as a rational number from 0 through 1. PE: 240-241, 242-245, 247, 249, 250, 397, 398-401, 405, 724, 730 TE: 202A-F, 240-241, 242-245, 247, 249, 250, 360A-F, 397, 398-401, 405, 724, 730 M.8.43 Problem Solving Selects and uses appropriate problem-solving strategies to solve single- and multiple-step problems. PE: 3, 4, 12, 14, 15, 20, 21, 26, 27, 39, 40, 41, 60-63, 70, 82-87, 88-91, 112, 113, 123, 128, 134, 138-141, 142, 144, 162, 168 171, 182-187, 189, 190, 191, 192-196, 197, 199, 200, 216, 220-224, 231, 260, 286, 304, 305, 332, 337, 339, 350-353, 372-375, 378, 382-385, 392, 393, 400, 406, 416, 418-419, 422, 426-429, 437, 444, 446, 457, 463, 466, 472, 473, 476, 480, 481, 486, 489, 491, 496, 529, 542-545, 552-555, 578, 593, 594, 597, 598, 622, 645, 648-651, 705, 742-745 TE: 1A-F, 3, 4, 12, 14, 15, 20, 21, 26, 27, 39, 40, 41, 48A-F, 60-63, 70, 82-87, 88-91, 102A-F, 112, 113, 123, 128, 134, 138-141, 142, 144, 154A-F, 162, 168 171, 182-187, 189, Page 18
190, 191, 192-196, 197, 199, 200, 202A-F, 216, 220-224, 231, 252A-F, 260, 286, 304, 305, 308A-F, 332, 337, 339, 350-353, 360A-F, 372-375, 378, 382-385, 392, 393, 400, 406, 408A-F, 416, 418-419, 422, 426-429, 437, 444, 446, 457, 458A-F, 463, 466, 472, 473, 476, 480, 481, 486, 489, 491, 496, 510A-F, 529, 542-545, 552-555, 562A-F, 578, 593, 594, 597, 598, 616A-F, 622, 645, 648-651, 705, 742-745 Problem Solving; Computation & Estimation M.8.44 M.8.45 Solves practical problems using ratio and proportion, including constant rate. Solves practical problems using percents (e.g., sales tax, sale price, and commission and discounts). PE: 23, 44, 73, 362-365, 370, 371, 372-375, 376, 377, 379, 381, 382, 404, 406, 539, 540-541, 542-545, 549, 552-555, 559, 560, 603, 604, 605, 609, 610, 729, 735, 737, 752, 753 TE: 23, 44, 73, 360A-F, 362-365, 370, 371, 372-375, 376, 377, 379, 381, 382, 404, 406, 510A-F, 539, 540-541, 542-545, 549, 552-555, 559, 560, 603, 604, 605, 609, 610, 729, 735, 737, 752, 753 PE: 337, 339, 343, 345, 346, 347, 348, 349, 350-353, 355, 357, 358, 376-380, 381, 382-385, 386-390, 404, 405, 406, 407, 728, 729, 753 TE: 308A-F, 337, 339, 343, 345, 346, 347, 348, 349, 350-353, 355, 357, 358, 360A-F, 376-380, 381, 382-385, 386-390, 404, 405, 406, 407, 728, 729, 753 Page 19
Statistics; Patterns & Functions M.8.46 M.8.47 Collects and organizes data, determines, appropriate method and scale to display data, and constructs frequency distribution; bar, line, and circle graphs; tables and charts; line plots, stem and-leaf plots, box-and-whisker plots, and scatter plots. Uses mean, median, mode, and range to describe tendencies of a data set and make predictions. PE: 21, 26, 27, 28, 29, 31, 33, 40, 41, 45, 46, 54, 57, 81, 129, 182, 184, 189, 191, 200, 204, 205, 206, 207, 208, 209, 210, 213, 216, 217, 218-219, 220-223, 225, 229, 230, 231, 232, 235, 236-239, 241, 248, 249, 250, 306, 207, 345, 347, 348, 358, 388, 413, 417, 443, 448, 492, 499, 549, 551, 591, 602, 605, 618, 620, 622, 623, 624, 625, 627, 639, 645, 647, 649, 651, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 686, 687, 691, 710, 712, 761, 762 TE: 1A-F, 21, 26, 27, 28, 29, 31, 33, 40, 41, 45, 46, 48A-F, 54, 57, 81, 102A-F, 129, 154A-F, 182, 184, 189, 191, 200, 202A-F, 204, 205, 206, 207, 208, 209, 210, 213, 216, 217, 218-219, 220-223, 225, 229, 230, 231, 232, 235, 236-239, 241, 248, 249, 250, 306, 307, 308A-F, 345, 347, 348, 358, 388, 408A-F, 413, 417, 443, 448, 458A-F, 492, 499, 510A-F, 549, 551, 562A-F, 591, 602, 605, 616A-F, 618, 620, 622, 623, 624, 625, 627, 639, 645, 647, 649, 651, 666A-F, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 686, 687, 691, 710, 712, 761, 762 PE: 133, 135, 186#13-14, 390#11, 668-671, 675, 680, 681, 686, 687, 709, 712, 740 TE: 102A-F, 133, 135, 186#13-14, 390#11, 666A-F, 668-671, 675, 680, 681, 686, 687, 709, 712, 740 Page 20
M.8.48 Reads, interprets, compare, and analyzes data in frequency distributions, diagrams, charts, tables, and graphs (bar, line, circle, stacked bar, double line, multiple bar), and makes predictions or conclusions based on this data. PE: 5, 21, 26-29, 31, 33, 34, 38, 41, 45, 46, 47, 54, 57, 77, 81, 89, 95, 116, 129, 145, 182, 184, 185, 189, 200, 204, 205, 206, 207, 208-212, 213, 214-217, 218-219, 220-224, 225, 226-229, 230-233, 235, 236-239, 240-241, 243, 245, 247, 248, 249, 250, 251, 306, 307, 317, 319, 321, 323, 327, 334, 341, 345, 347, 348, 357, 358, 382, 385, 407, 457, 492, 587, 612, 618, 623, 624, 625, 647, 648, 649, 651, 661, 663, 669, 672-675, 676-680, 681, 686, 687, 710, 712, 761, 762 TE: 1A-F, 5, 21, 26-29, 31, 33, 34, 38, 41, 45, 46, 47, 48A-F, 54, 57, 77, 81, 89, 95, 102A-F, 116, 129, 145, 182, 184, 185, 200, 202A-F, 204, 205, 206, 207, 208-212, 213, 214-217, 218-219, 220-224, 225, 226-229, 230-233, 235, 236-239, 240-241, 247, 248, 249, 250, 251, 252A-F, 306, 307, 308A-F, 317, 319, 321, 323, 327, 334, 341, 345, 347, 348, 357, 358, 360A-F, 382, 385, 407, 457, 492, 562A-F, 587, 612, 616A-F, 618, 623, 624, 625, 647, 648, 649, 651, 661, 663, 666A-F, 669, 672-675, 676-680, 681, 686, 687, 710, 712, 761, 762 Page 21