450 IndexReview of Strategies, 102–3, 234–35, 346–47, 402–3, PB 113–14,
261–62, 389–90, 453–54
Solve a Simpler Problem, 168–69, PB 187–88
Work Backward, 324–25, PB 363–64Properties
associative (grouping)
Associative Property of Addition, 14–15, 130–31, 386,
PB 13–14, 145
Associative Property of Multiplication, 14–15, 130–31, 387,
PB 13–14, 145
closure
Closure Property for Integers, 17, PB 15–16
Closure Property for Whole Numbers, 16–17, PB 15–16
commutative (order)
Commutative Property of Addition, 14–15, 130–31, 386,
PB 13–14, 145
Commutative Property of Multiplication, 14–15, 130–31,
PB 13–14, 145
Density Property, 116, PB 132
distributive
Distributive Property of Multiplication over Addition, 15, 83,
131, 386, PB 13–14, 145
Distributive Property of Multiplication over Subtraction, 15,
131, 386, PB 13–14, 145
equality
Addition Property of Equality, 38, 45, PB 41–42
Division Property of Equality, 40, 45, 46–47, PB 43–44
Multiplication Property of Equality, 42–43, PB 45–46
Subtraction Property of Equality, 36–37, 45, 46–47, PB 39–40
identity
Identity Property of Addition, 14, 130–31, PB 13–14, 145
Identity Property of Multiplication, 14, 130–31, PB 13–14, 145
inequality
Addition Property of Inequality, 58, 60, PB 65–66
Division Property of Inequality, 59, 64, 400, PB 65–66, 71–72
Multiplication Property of Inequality, 59, 62, 400, PB 65–66,
69–70
Subtraction Property of Inequality, 58, 60, PB 65–66
inverse
Inverse Property of Addition, 14, 130, PB 145–46
Inverse Property of Multiplication, 130, 138–39, PB 145–46
Multiplicative Property of 1, 130, 388, PB 145–46
Zero Property of Multiplication, 14, 130, PB 13–14, 145–46
Proportions
Cross-Products Rule, 152–53, PB 171–72
determine if ratios form a proportion
compare simplified ratios, 152–53, PB 171–72
use Cross-Products Rule, 152–53, PB 171–72
use proportional reasoning, 153, PB 171–72
dimensional analysis
convert units of measurement, 166–67, PB 185–86
identify conversion factor, 166–67, PB 185–86
direct
graph, 155, PB 174
write/solve, 154–55, PB 173–74
indirect measurement, 162–63, PB 181–82
inverse, 164–65, PB 183–84
parts (partitive proportion)
make a table, 156–57, PB 175–76
use a model, 156–57, PB 175–76
use an equation, 156–57, PB 175–76
use proportional reasoning, 156–57, PB 175–76
percent, 180–85, PB 203–8
scale drawings/models/scale factor, 158–59, PB 177–78
terms
find missing term, 153, PB 171–72
middle/extreme terms, 152–53, PB 171–72
write/solve, 152–53, 154–55, 188–89, 190–91, 192, 194, 196–97,
PB 171–72, 173–74, 211–12, 213–14, 215–16, 217–18, 219–20
Protractor, 243, 360, PB 272, 280, 286, 295
Pyramids (see alsoGeometry, three-dimensional figures, pyramids),
302, PB 341–42
Pythagorean Theorem, 280–81, 309, PB 315–16
Pythagorean triples, 281Quadrants, 23, PB 21–22
Quadratic functions, 366–67, PB 413–14
Quadrilaterals
classify, 260–61, PB 291–92
congruent (SSS, SAS, ASA), 256–57, PB 287–88
formed by joining midpoints of other quadrilaterals, 268–69,
PB 299–300
midpoint, 268, PB 299–300
properties, 260–61, PB 291–92
Quartiles, 222–23, PB 249–50
Quotients, 411(SU)Radical sign, 276–77, PB 311–12
Radius, 286–87, PB 321–22
Random sample, 208
Rational numbers
concepts, 72–73, PB 83–84
equivalent, 74–75, PB 85–86
fractional/decimal forms, 72–75, PB 83–86
on a number line, 73, PB 84
terminating/repeating decimals, 72–73, PB 83–84
Ratios
bicycle gear ratio, 170, PB 189
equivalent
divide to form, 148–49, PB 167–68
multiply to form, 148–49, PB 167–68
forms
fraction, 150–51, PB 169–70
ratio, 150–51, PB 169–70
word, 150–51, PB 169–70
part-to-whole ratio, 150–51, PB 169–70
rate
compare rates, 150–51, PB 169–70
determine better/best buy, 150–51, PB 170
unit rate/unit cost, 150–51, PB 169–70
of similarity, 326
simplify using greatest common factor (GCF), 149
Reasonableness, 37, 39, 81, 86, 97, 105, 124, 205, 271, 300,
PB 42, 91, 93
Reasoning
analyze
information (relevant/irrelevant), 105, 171–72, 234–35, 238,
261, 266, 328, 356, PB 355–56, 358, 362, 370, 372, 375–76,
379–80, 381–82, 399–400, 404, 407–8, 409–10, 413–14,
415–16, 432, 434, 438
apply strategies/rules/conceptual understanding, 10, 13, 20–21,
27–28, 38, 46, 52, 69, 70, 78, 80–81, 87, 96, 105–6, 108–9, 118–19,
120–21, 122, 124, 126, 128, 134–35, 137, 145–46, 152–53, 154–55,
158, 162, 171–72, 205–6, 349–50, 352–53, 354–55, 359, 406,
PB 375–76, 407–8, 430, 432
classify/sort, 72–73, 242–43, 254–55, 260–61, 302–3, 364–65, 382–83,
PB 83–84, 273–74, 285–86, 291–92, 313–14, 341–42, 369, 373,
382, 396, 411–12, 413–14, 433–34
communicate (see Discuss and Write, Tell About It, and
Write About It)