Grade 4 - Progress in Mathematics

(Marvins-Underground-K-12) #1
491

Abacus, 91
Addition of decimals
computation
tenths/hundredths, 426–7, 452–3
column, 426–7
estimate (see Estimation strategies)
missing addends, 437
representations, 426
Addition of fractions and mixed numbers
computation
column, 303
fractions with like denominators, 296–7, 301,
304–5, 312–3, 452–3
fractions with unlike denominators, 308–9, 321
mixed numbers, 301, 304–5, 316–7, 318
estimate (see Estimation strategies)
mental math, 305
on a number line, 296, 300
related to probability, 312–3
renaming sums, 308, 321
representations, 296, 300
Addition of whole numbers and money
addend/sum, 4(SU), 68, 84, 215
basic facts, 4(SU), 5(SU), 68–9, 70–1, 74–5, 443,
444–5, 449, 452–3
check, 83–4, 116
computation
no regrouping, 6(SU), 82–3
regroup
through ten thousands, 98–9, 100–1, 102–3,
104–5, 114–5, 116–7, 118–9, 147, 450–1
through millions, 103
column, 20(SU), 68–9, 70–1, 79, 80–1, 84–5,
103, 104–5, 114–5, 117, 119, 155, 437
money, 4 (SU) 82–3, 98–9, 100–1, 103, 104–5
Addition with measurement,210–1, 215, 217, 225,
230, 316–7
estimate (see Estimation strategies)
fact families, 5(SU)
mental math, 71, 78–9
missing addends, 5(SU), 74–5, 76–7, 437, 443,
444–5, 447, 449, 451
number sentences (see Algebra)
perimeter, 20(SU), 358–9, 454
properties (see Algebra, properties)
related to multiplication, 8–9(SU), 128, 132
related to subtraction, 5(SU), 76–7, 84–5
representations, 4(SU), 98
strategies
add ten, 70–1
break apart ten, 70–1
doubles plus/minus one, 70–1
make hundred, 78–9
make ten, 70–1, 78–9
using properties, 68–9

Algebra
algebraic thinking (see Reasoning and Chapter 14,
Moving On: Algebra), 2, 5, 12, 23, 30, 31, 33,
46–7, 48–9, 52–3, 54, 68–9, 72–3, 74–5, 76–7,
78–9, 80, 84–5, 104–5, 114–5, 126–7, 130–1,
132, 135, 144–5, 166–7, 168–9, 170–1, 192–3,
201, 208–9, 212–3, 214–5, 218–9, 220–1,
222–3, 230–1, 268–9, 272–3, 274–5, 276–7,
278–9, 282–3, 284–5, 286–7, 296–7, 298–9,
306–7, 308–9, 310–1, 321, 346–7, 348–9, 353,
358–9, 370–1, 377, 382–3, 402–3, 418–9,
420–1, 432–3, 437, 442–3, 444–5, 446–7,
448–9, 450–1, 452–3, 454–5
coordinate graphs, 23(SU), 346–7, 448–9
ordered pairs, 346–7, 353
x- and y-coordinates 347, 353
equations
inverse operation, 5(SU), 11–13(SU), 30, 33,
76–7, 78, 84, 106, 108, 110, 113, 116, 154–5,
157, 166–7, 168–9, 174, 178, 180, 182–3,
184, 187, 188, 190, 196–7, 444–5
missing addends, 5(SU), 74–5, 76, 437, 443,
444–5, 447, 449, 451, 453
missing cubic units, 377
missing digits, 115
missing dividend/divisor, 165, 168–9, 185, 383,
395, 443, 444–5, 451
missing factors, 8(SU), 12(SU), 127, 168–9, 275,
315, 443, 444–5, 447, 451, 453
missing minuends/subtrahends, 5(SU), 76–7,
443, 444–5, 447
missing numerator/denominator, 273, 274–5,
278, 283
missing symbols, 2(SU), 53, 208–9, 213, 215,
218–9, 221, 223, 225, 283, 389, 419, 450–1
number sentences
addition/subtraction, 4(SU), 5(SU), 7(SU), 30,
32, 34, 60–1, 67, 72–3, 76–7, 88–9, 101,
102–3, 105, 106–7, 108–9, 110–1, 112–3,
116–7, 118–9, 210–1, 232, 296–7, 301,
302–3, 304, 310–1, 318–9, 339, 351, 427,
442–3, 444–5, 447, 449, 450–1, 453, 456–7
multiplication/division, 7(SU), 8(SU), 9(SU),
10(SU), 11(SU), 12(SU), 30, 33, 128–9,
130–1, 133, 136, 138–9, 140–1, 142–3,
146–7, 148–9, 150–1, 152–3, 156, 159,
164–5, 167, 168–9, 174, 178–9, 180–1,
183, 184–5, 186, 189, 190, 197, 198–9,
209, 213, 232, 275, 277, 314–5, 383, 385,
387, 442–3, 444–5, 447, 451, 453, 457
translating, 76, 127, 131, 156–7, 165, 168,
185, 442–3, 451, 453
writing/solving, 4(SU), 5(SU), 8–10(SU),
11(SU), 30, 33, 76–7, 131, 132–3, 135, 137,
148, 157, 165, 167, 168–9, 174, 185, 196,
275, 314–5, 358–9, 360–1, 362–3, 437,
442–3, 444–5, 447, 450–1, 453, 454–5, 456
for two variables, 445, 449

Key:Italics = Enrichment/Challenge

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