261, 263, 265, 268, 269, 270, 271, 272, 273, 277, 278,
279, 280, 281, 282, 283, 284, 285, 348, 350, 351, 369,
379, 382–3, 386–7, 388–9, 390–1, 392, 404–5, 406–7,
409,413, 416–7, 421, 422–3, 424–5, 426–7, 428–9,
430–1, 432–3, 434–5, 436–7, 438–9, 440–1, 443 , 457,
459, 460–1, 464–5, 466–7, 468–9, 472–3, 474–5,
478–9, 480–1, 482–3, 484–5, 488–9, 495, 496–7,
498–9, 500–1, 513, 514–5, 516–7, 519
Topics
Extra Information, 57, 81, 215, 405, 407, 441
Hidden Information, 29, 81, 115, 285, 405, 407, 489, 517
Properties(see Algebra)
Proportions
cross products, 382–7
equal ratios, 382–3, 386–7
indirect measurement, 390–1
means / extremes, 382–3, 384–5
missing number in, 383, 384–5, 386–7, 388–9, 392–3, 398,
407
percent of a number, 419
scale and maps, 392–3
similar figures, 388–9
solving, 384–5, 386–7
write, 386–7, 391
Pythagorean Theorem, 409Rate
definition, 380–1
formula, 420–1
Ratio
equivalent, 378–9
as fractions, 376–7, 378–9, 380–1
representations, 378
related to proportions, 382–3
simplest form, 376–7
write three ways, 376–7
Rational numbers
concepts, 208–9
compare / order, 210–1, 398–9, 403
opposite / on a number line, 208–9
pi, 470
read / write, 208–9
Reasoning
algebraic thinking (see Algebra)
analyze
information, (relevant / irrelevant), (see Problem-Solving
Topics: Hidden Information and Extra Information), 33,
35, 39, 43, 45, 46–7, 48–9, 50–1, 52–3, 54–5, 56–7,
58–9, 61,65, 66–7, 68–9, 70–1, 72–3, 78–9, 80–1, 87,
88–9, 90–1, 92–3, 94–5, 96–7, 98–9, 102–3, 104–5,
106–7, 108–9, 110–1, 112–3, 114–5, 121, 122–3,
124–5, 126–7, 128–9, 130–1, 132–3, 134–5, 136–7,
139, 140–1, 142–3, 145,149, 150, 151, 152, 153, 154,
155, 156, 157, 159, 160, 161, 163, 164, 165, 166, 167,
168, 169, 170, 171, 173,177, 178, 179, 181, 182, 183,
184, 185, 188–9, 191, 194, 195, 199, 203, 205, 206,
207, 208, 212, 213, 214, 215, 221, 222–3, 224, 225,
226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 237,
238, 239, 240, 242, 243, 249, 250, 251, 252, 253, 255,
256, 257, 258, 259, 260, 261, 262, 263, 265, 268, 269,
270, 271, 272, 273, 275, 276, 277, 278, 279, 280, 281,
284, 285, 292, 293, 294, 295, 296, 298, 299, 300, 301,
302, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313,314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 329,
334, 335, 336, 343, 348, 350, 351, 352, 354, 355, 356,
357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367,
368, 369, 371,375, 379, 380–1, 382–3, 386–7, 390–1,
392–3, 395, 402–3, 404–5, 407, 409,413, 416–7,
418–9, 420–1, 422–3, 424–5, 426–7, 428–9, 430–1,
432–3, 434–5, 436–7, 438–9, 440–1, 443,448–9,
450–1, 453, 457, 458–9, 460–1, 462–3, 464–5, 466–7,
468–9, 470–1, 472–3, 474–5, 476–7, 478–9, 480–1,
482–3, 484–5, 486–7, 488–9, 496–7, 498–9, 500–1,
502–3, 504, 506–7, 508–9, 510–1, 512, 514–5, 516–7,
519
apply strategies / rules / conceptual understanding, 35, 37,
43, 45, 46–7, 49, 51, 55, 58–9, 61,71, 73, 79, 89, 90–1,
99, 103, 105, 109, 113, 114–5, 123, 125, 131, 133, 135,
137, 138–9, 141, 142–3, 153, 155, 157, 158, 159, 161,
162, 163, 165, 169, 170, 171, 178, 185, 186–7, 189, 191,
193, 197, 199, 200, 214, 215, 227, 231, 232, 235, 236,
237, 239, 243, 257, 261, 262, 263, 266, 267, 268, 269,
271, 273, 274, 275, 277, 282, 351, 377, 379, 380–1,
386–7, 404–5, 421, 423, 425, 427, 428–9, 431, 433,
434–5, 436–7, 440–1, 443,449, 451, 453, 460–1, 462–3,
465, 467, 476, 481, 482, 497, 498–9, 501, 502–3, 508–9,
516–7, 519
classify / sort, 55, 77, 128–9, 133, 145,167, 177, 180, 181,
189, 192, 201, 206, 207, 208, 217,222–3, 225, 233, 234,
235, 254, 255, 260, 262, 269, 274, 282, 292, 293, 303,
304, 305, 330, 331, 332, 336, 337, 341, 342, 343, 344,
346, 347, 350, 352, 356, 357, 358, 359, 361, 362, 363,
368, 403, 504, 507, 508–9
communicate, (see Communicate, Math Journal, Tell About
It,and Write About It)
compare / contrast, 40–1, 58, 61,67, 68–9, 75, 80, 92, 99,
100–1, 124, 128, 139, 152, 153, 160, 161, 170, 184, 185,
192, 193, 196, 197, 198, 205, 210, 211, 224, 225, 227,
254, 260, 263, 265, 275, 293, 295, 296, 299, 300, 301,
302, 303, 304, 306, 307, 308, 309, 310, 311, 312, 314,
315, 316, 317, 318, 319, 322, 323, 332, 335, 336, 337,
342, 346, 347, 352, 354, 355, 356, 357, 358, 359, 362,
363, 364, 365, 366, 375, 388–9, 393, 395, 396–7, 398–9,
401, 402–3, 407, 413, 414–5, 416–7, 418, 420, 422–3,
427, 428, 430, 432–3, 435, 441, 448–9, 450–1, 452–3,
454–5, 456–7, 458–9, 460–1, 469, 471, 473, 475, 476–7,
479, 481, 483, 484–5, 487, 488–9, 506–7, 508–9, 512,
516–7, 519
conclusions / deductive reasoning, 156, 158, 261, 263, 296,
299, 302, 305, 307, 309, 313, 314, 315, 316
conjectures, 353, 512–3
data / problems, (see Statistics and Probability)
generalize / inductive reasoning, 93, 159, 161, 162, 164, 165,
259, 345, 512
justify / verify
evaluate reasonableness of solution in context, 239, 240,
242
logic / logical reasoning, 41, 43, 117,128–9, 197, 245,
282–3, 285, 353, 366–7, 369, 405, 453, 455, 460, 491
validity of results, 33, 45, 49, 50–1, 56–7, 58–9, 68–9,
70–1, 72–3, 78–9, 80–1, 89, 92, 96–7, 102–3, 104–5,
112–3, 114–5, 123, 127, 129, 130–1, 132–3, 134–5,
136–7, 138–9, 140–1, 142–3, 145,149, 152, 156, 158,
159, 161, 166, 167, 168, 169, 170, 173,177, 179, 180,
181, 182, 183, 184, 185, 189, 192, 195, 199, 205, 212,
213, 214, 215, 222–3, 224–5, 226, 227, 228, 229, 230,
231, 232, 233, 236, 238, 240, 242, 243, 249, 250, 251,
253, 255, 256, 257, 258, 259, 261, 262, 263, 265, 266,
267, 268, 272, 273, 275, 276, 279, 280, 281, 282, 284,
285, 320, 321, 322, 323, 329, 333, 334, 335, 336, 337,
341, 343, 344, 345, 347, 348, 351, 354, 355, 357, 358,5608206-2_553-562 3/23/06 5:38 AM Page 560