Grade 4 - Progress in Mathematics

(Marvins-Underground-K-12) #1
141, 145, 149, 151, 155, 156–7, 165, 168–9,
171, 175, 192, 194–5, 196–7, 198–9, 201,
278, 297, 299, 300, 305, 309, 310, 312, 318,
351, 383, 385, 405
classify/sort, 30, 72–3, 78–9, 126, 201, 214, 220,
222, 224, 227, 267, 271, 277, 279, 306–7,
326–7, 328–9, 330–1, 332–3, 334–5, 336–7,
338–9, 340, 342–3, 344–5, 347, 350
communicate, (see Communicate, Math Journal,
Tell About It andWrite About It) 143, 151,
167, 187, 255, 267, 337, 343, 347
compare/contrast, 2(SU), 14–5(SU), 16–7(SU),
18–9(SU), 26(SU), 38, 44–5, 46, 52–3, 72,
132–3, 147, 148, 164, 173, 174, 179, 206,
208–9, 212–3, 218, 224, 242–3, 266, 268,
270–1, 272–3, 282–3, 334, 337, 341, 342–3,
412–3, 418–9, 420–1, 422, 431, 450–1
conclusions/deductive reasoning, 86–7, 137,
143, 144–5, 247, 254, 407
estimate/distinguish exact from estimate, (see
Estimation) 14(SU), 17(SU), 48, 113, 153,
159, 205, 206–7, 216–7, 220, 222, 271,
302–3, 384, 386–7
explain mathematical reasoning, 26–7(SU), 53,
56–7, 69, 81, 86–7, 113, 118–9, 135, 139,
145, 151, 153, 156–7, 167, 171, 177, 179,
187, 198, 217, 232–3, 243, 247, 251, 253,
255, 257, 267, 273, 277, 279, 288, 303, 307,
331, 333, 335, 337, 342–3, 347, 350, 381,
385, 405, 427, 441, 455, 456–7
generalize/inductive reasoning, 38, 170
justify/verify
(validity of results/evaluate reasonableness of
solution in context) 21(SU), 30–1, 32–3,
34, 44–5, 57, 58–9, 60–1, 78–9, 80–1,
83–4, 88–9, 96–7, 99, 100–1, 102–3,
104–5, 106–7, 108–9, 110–1, 112–3,
114–5, 116–7, 118–9, 126, 131, 133,
134–5, 136–7, 138–9, 140–1, 142–3,
146–7, 148–9, 150–1, 152–3, 154–5,
156–7, 159, 174, 176–7, 178–9, 180–1,
182–3, 184–5, 187, 188–9, 190, 196–7,
198–9, 230–1, 232–3, 256–7, 258–9, 267,
270–1, 273, 276–7,285, 286–7, 289, 298,
302–3, 315, 316–7, 318–9, 335, 337, 339,
345, 348–9, 350–1, 384, 388–9, 390–1,
392, 394–5, 396–7, 398–9, 400, 402–3,
404–5, 421, 424, 426, 428–9, 430–1,
432–3, 434–5, 443, 444–5, 454–5, 456–7
logic/logical reasoning
all, some, none, 307, 333, 337, 407
always, sometimes, never, 337
predictions, (making), 27(SU), 71, 143, 170, 187,
244–5, 252–3, 382, 449
problem-solving
apply strategies to other situations (see
Problem Solving Strategies and Problem-
Solving Applications) break apart to

simpler, (see Problem-Solving Strategies:
Use Simpler Numbers, More Than One
Step,and Combine Strategies)
relationships, 1(SU), 5(SU), 7(SU), 8–9(SU),
10(SU), 12(SU), 38, 133, 166–7, 168–9,
268–9, 270, 272–3, 276, 280–1, 282, 287,
300, 306–7, 311, 314–5, 381, 411, 412–3,
414–5, 416–7, 420, 422, 428, 459
rules (identify/write), 11(SU), 54–5, 73, 79, 80–1,
82, 164–5, 170–1, 192–3, 398–9, 422–3,
446–7
spatial reasoning, 45
visual reasoning, 3(SU), 7(SU), 11(SU), 13(SU),
15(SU), 16–7(SU), 18–9(SU), 21(SU),
22–3(SU), 24(SU), 45, 48–9, 128–9, 130,
205, 206–7, 216, 219, 223, 226, 241, 242,
252–3, 266–7, 268–9, 270–1, 272–3, 276,
280–1, 282, 284, 288–9, 291, 312–3, 314,
326–7, 328–9, 330–1, 332–3, 334, 336–7,
338–9, 340–1, 342–3, 344–5, 346–7, 348–9,
353, 412–3, 414–5, 418
Reinforcement (see Do You Remember? Check Your
Progress, Still More Practice, and Cumulative
Reviews)
Representations(see Decimals, Fractions, Whole
Numbers and the four operations with each of
these number types. See also Place value.)
Roman numerals, 121
Round(rules for, see Estimation; for computation, see
Estimation strategies)
Skills Update, 1(SU)–27(SU)
Skip count,42–3, 227, 228–9, 306
Square numbers, 201
Square units, 360–1, 362–3, 373, 375
Standard form(see Place value, decimals and whole
numbers)
Statistics
averages/mean, 194–5
data
collect data/information, 195, 255
identify outliers, 195, 246–7
interpret, 69, 240–1, 243, 244–5, 246–7, 256–7,
258–9, 261
make an organized list, 58–9, 60–1, 250–1
misleading graphs (data), 243
predict change, 244–5
organize, 25(SU), 240–1, 240–1, 243, 245, 247,
250–1, 255
survey, 246–7
graphing sense, 26(SU), 240, 242–3, 244–5, 246–7
graphs
bar
double bar graph, 261
half interval, 240–1, 258, 405, 456

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