Grade 4 - Progress in Mathematics

(Marvins-Underground-K-12) #1
493

order, 420–1
place value topics (see Place value, decimals)
related to fractions 412–3, 414–5, 417
representations, 412–3, 414–5, 418, 422, 426, 428
round: rules for, 422–3
word names, 412–3, 414–5, 416–7, 423
write and read, 412, 414–5, 416–7, 423
write zeros, 412, 414, 418, 422
Divisibility,176–7
Division of whole numbers and money
average/mean, 194–5
basic facts, 10(SU), 11(SU), 12(SU), 164–5, 166–7,
168–9, 443, 444–5, 452
check, 167, 174, 178, 180, 182–3, 184, 187, 188,
190, 196, 197, 384–5, 388–9, 390–1, 392,
394–5, 398–9, 400, 430–1
computation
1-digit quotients, 174–5, 299, 384–5, 387,
388–9, 390–1, 392–3, 394–5
2-digit quotients, 178–9, 180–1, 184–5, 190–1,
194–5, 387, 394–5, 398–9
3-digit quotients, 182–3, 186–7, 188–9, 190–1,
387, 398–9, 400–1
divisors of 10 and multiples of 10, 382–3, 384–5,
386–7
money, 11(SU), 190–1, 387, 391, 393, 395, 397,
399, 401, 425, 430–1
trial quotients, 392–3
zero in the quotient, 186–7, 398–9
concepts, 10(SU), 11(SU), 12(SU), 164–5, 166–7
divisibility, 176–7
divisor/dividend/quotient, 11(SU), 164–5, 383
estimating (see Estimation strategies)
fact families, 12(SU), 167
interpreting the remainder, 174, 175, 179, 180–1,
183, 185, 196–7, 199, 233, 385, 388–9, 390–1,
393, 395, 397
mental math, 167
missing dividend/divisor, 168–9, 179, 189, 191,
383, 443, 444–5, 451
number sentences (see Algebra)
patterns, 170–1, 382–3
related to multiplication, 11(SU), 12(SU), 166–7
related to subtraction, 10(SU)
remainder, 174–5, 180–1, 182–3, 184–5, 186–7,
188–9, 299, 384–5, 387, 388–9, 390–1, 392–3,
394–5, 396–7, 398–9, 400–1
representations, 10(SU), 11(SU), 12(SU), 166, 174,
186
rules for (zero and 1), 11(SU), 164–5, 398–9
Do You Remember?,79, 103, 141, 147, 169, 215,
241, 249, 275, 285, 299, 309, 335, 387, 425, 442–3
Elapsed time(see Measurement)
Enrichment(see also Challenge and Critical Thinking)
Abacus, 91
Billions, 63

Clustering, 159
Coordinate Geometry: Distance, 353
Double Bar Graph, 261
Factor Trees, 201
Least Common Denominator, 321
Logic, 407
Magic Squares, 437
Missing Cubic Units, 377
Negative Numbers, 459
Ratio and Percent, 291
Roman Numerals, 121
Time Zones, 235
Equations(see Algebra)
Estimation
check for reasonableness, 81, 116
estimate when appropriate, 44–5
fraction sense, 270–1
gross estimates, 45
measurement
angle
area, 363–4
best estimate, 14(SU), 16(SU), 17(SU), 18(SU),
214, 220, 222, 224
capacity, 15(SU), 18(SU)
length
nearest cm/dm, 217
nearest in., 207
mass, 19(SU)
weight, 16(SU)
on a number line, 48, 49, 271
rounding, rules for
decimals (tenth and whole number), 422–3
money, 54, 79, 82–3
on a number line, 422
whole numbers, 54–5, 79, 80–1
Estimation strategies
clustering, 159
compatible numbers (quotients), 173, 386–7, 389,
391
front-end
differences, 97, 302–3, 429
products, 134–5, 136–7, 138–9, 140–1, 142–3,
quotients, 172–3, 174–5
sums, 96–7, 104, 302–3, 425
round
differences, 80–1, 82–3, 106–7, 108, 116, 424–5
products, 146–7, 148–9, 150–1, 152–3
sums, 80–1, 82–3, 98, 100, 102, 424–5
Even/odd numbers, 171
Expanded form(see Place value, decimals and whole
numbers)
Expressions(see Algebra)
Factors
common factors, 276–7, 278, 309
greatest common factor (GCF), 277, 278, 296, 298
prime factors, 201

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