predict and record, 71, 143, 253, 255
randomness, 252–3, 254
tree diagrams, 250–1
Problem Solving
Applications (Mixed strategies) in lessons, 34,
60–1, 88–9, 90–1, 118–9, 156–7, 198–9, 232–3,
258–9, 288–9, 318–9, 350–1, 374–5, 404–5,
434–5, 456–7
Formulation (Write Your Own), 59, 73, 87, 119,
197, 199, 259, 317, 351, 457
Introduction to Problem Solving (Heuristic model)
28–34, 154–5, 156–7, 196–7, 198–9, 230–1,
232–3, 256–7, 258–9, 285, 286, 288–9, 316–7,
318–9, 348–9, 350–1, 402, 404–5, 432–3,
434–5, 454–5, 456–7
Strategies
Choose the Operation, 30, 34, 60, 61, 82–3,
88–9, 115, 116–7, 118, 119, 156, 157, 198,
199, 211, 221, 223, 225, 232–3, 258–9,
302–3, 304–5, 310–1, 318–9, 350–1, 391,
404–5, 429, 434, 442–3
Draw a Picture, 314–5, 325, 335, 337, 339, 341,
351
Find a Pattern, 58–9, 61, 171, 348–9, 350–1,
375, 405, 435
Guess and Test, 31, 34, 57, 61, 105, 118, 119,
157, 233, 259, 289, 319, 375, 445, 454–5,
456–7
Interpret the Remainder, 174–5, 179, 180–1,
183, 184–5, 196–7, 199, 233, 385, 388–9,
390–1, 393, 395, 397, 401, 404, 405
Logical Reasoning, 86–7, 88, 89, 118, 119, 156,
157, 198, 199, 209, 233, 259, 286–7, 288–9,
319, 350–1, 352–3, 375, 435, 457
Make an Organized List, 51, 57, 59, 61, 118–9,
250–1, 255, 257, 327
Make a Table, 25(SU), 31, 58–9, 60, 61, 68–9,
89, 118, 119, 171, 209, 289, 404–5, 449
More Than One Way, 454–5
Use a Drawing/Model, 49, 53, 56–7, 60, 125,
128–9, 219, 228–9, 283, 285, 288, 314–5,
348–9, 350–1, 359, 360, 362–3, 371, 372–3,
374–5, 407, 434–5
Use a Diagram/Graph, 25(SU), 26(SU), 118,
157, 198, 229, 235, 240–1, 242–3, 244–5,
246–7, 248–9, 253, 254–5, 256–7, 258–9,
261, 288–9, 296, 298–9, 319, 350–1, 405,
435, 456, 459
Use More Than One Step, 32, 34, 60, 71, 85, 89,
95, 99, 101, 109, 111, 113, 117, 118–9, 131,
135, 139, 141, 153, 154, 156–7, 165, 189,
195, 198, 209, 213, 215, 217, 219, 221, 223,
225, 230–1, 232–3, 241, 249, 259, 261, 289,
315, 316–7, 318–9, 350, 374–5, 397, 402–3,
404–5, 429, 432–3, 434–5, 454, 455, 456–7
Use Simpler Numbers, 316–7, 318–9
Work Backward, 154–5, 156, 157, 229, 319,
434–5, 457Write a Number Sentence, 8–9(SU), 33, 34, 60,
61, 67, 72–3, 76–7, 82–3, 85, 88–9, 97, 99,
101, 102–3, 104–5, 106–7, 108–9, 110–1,
112–3, 115, 116–7, 118–9, 129, 131, 132–3,
134–5, 136–7, 138–9, 140–1, 142–3, 146–7,
148–9, 150–1, 152–3, 156–7, 159, 164–5,
167, 168–9, 174–5, 178–9, 180–1, 183,
184–5, 186, 189, 190, 198–9, 209, 210–1,
213, 221, 223, 225, 232, 241, 247, 249,
258–9, 261, 296–7, 298–9, 301, 302–3,
304–5, 308, 310–1, 318, 339, 374–5, 383,
387, 388–9, 390–1, 393, 395, 397, 399, 401,
404, 425, 426–7, 428–9, 430, 434, 442–3,
454–5, 456–7
Topics
Extra Information, 116–7, 119, 198, 199, 233,
319, 351, 435
Hidden Information, 101, 119, 131, 148, 199,
233, 259, 402–3, 405, 457
Properties(see Algebra, properties)
Ratio, 291
Reasoning
algebraic thinking, (see Algebra)
analyze
information, (relevant/irrelevant), (see
Problem Solving Topics: Hidden
Information, Extra Information, Missing
Information (see Problem-solving Topics)
7(SU), 10(SU), 13(SU), 14–5(SU),
16–7(SU), 18–9(SU), 21(SU), 22(SU),
24–5(SU), 26–7(SU), 30–1, 32–3, 34, 37,
44, 48–9, 51, 53, 55, 56–7, 58–9, 60–1,
68–9, 70–1, 74–5, 76–7, 78–9, 85, 86–7,
88–9, 91, 99, 101, 103, 105, 106–7, 108–9,
110–1, 117, 118–9, 127, 128–9, 130–1, 135,
137, 138–9, 141, 143, 144–5, 147, 148–9,
151, 152–3, 154–5, 156–7, 159, 164–5,
166–7, 168–9, 170–1, 172–3, 175, 176–7,
180–1, 183, 184–5, 186, 189, 191, 195,
196–7, 198–9, 205, 207, 208–9, 210–1, 213,
214–5, 217, 218–9, 220–1, 222–3, 225, 227,
228–9, 230–1, 232–3, 235, 240–1, 242–3,
244–5, 246–7, 248–9, 250–1, 252–3, 254–5,
256–7, 258–9, 261, 268–9, 270–1, 272,
274–5, 276–7, 280, 283, 284–5, 286–7, 288,
291, 295, 296–7, 298–9, 301, 302–3, 304–5,
307, 308, 310–1, 313, 314–5, 316–7, 318–9,
321, 328–9, 330–1, 332–3, 334–5, 336–7,
338–9, 340–1, 342, 344–5, 347, 348–9,
350–1, 353, 382–3, 384–5, 387, 388–9,
390–1, 395, 397, 399, 401, 402–3, 404–5,
407, 413, 414–5, 418–9, 421, 423, 425,
426–7, 428–9, 430–1, 432–3, 434–5, 437,
441, 442–3, 446, 449, 454–5, 456–7, 459
apply strategies/rules/conceptual understanding,
20(SU), 34, 38–9, 41, 43, 51, 54–5, 56–7,
58–9, 60–1, 70–1, 72–3, 75, 78–9, 82, 88–9,
91, 97, 109, 117, 118–9, 125, 127, 131, 139,4978204-6_491-499 4/16/07 9:29 PM Page 497