Index 451
compare/contrast, 148–49, 150–51, 152–53, 164–65, 176–77, 188, 190,
196–97, 198, 214, 216–17, 222–23, 226, 231, 265, 268, 278–79, 282,
322–23, 338, 368, 371, 375, 381, 405, PB 167–68, 169–70, 171–72,
183–84, 199–200, 219–20, 243–44, 249–50, 253, 258, 313–14, 342,
358, 361–62, 382, 396, 456
conclusions/deductive reasoning, 208, 357, PB 235–36, 376, 403–4
conjectures/counterexamples, 16, 323, 356–57, PB 15–16, 403–4,
410, 411, 429
data problems (seeProbability; Statistics)
generalize/inductive reasoning, 36, 38, 40, 42, 58–59, 62, 247, 261,
371, 394–95, 445–46, PB 39, 41, 43, 45, 65, 76, 286, 373–74
justify/verify
logic/logical reasoning, 202–3, 346–47, PB 225–26, 351, 389–90
reasonableness of solution, 37, 39, 81, 86, 97, 105, 120, 124–25,
205, 271, 300, PB 91, 93, 95, 308
validity of results, 9, 16–17, 22–23, 24–25, 36–37, 40–41, 42–43,
45, 46–47, 49, 60–61, 62–63, 64–65, 66–67, 69–70, 80–81, 86–87,
92–93, 94–95, 96–97, 98–99, 103, 105–6, 124, 132, 134–35,
136–37, 138, 145–46, 153, 154–55, 168–69, 171–72, 180, 182,
184, 202–3, 235, 266–67, 274, 297, 324–25, 347, 376–77, 380, 395,
396–97, 398–99, 400–1, 403, 406, PB 23–24, 39–40, 41–42,
43–44, 45–46, 49–50, 51–52, 67–68, 69–70, 71–72, 73–74,
77–78, 91–92, 95–96, 97–98, 103–4, 105–6, 107–8, 109–10
131–32, 147–48, 151–52, 153–54, 161–62, 173–74, 175–76,
187–88, 191–92, 225–26, 229–30, 297–98, 311–12, 348,
363–64, 367, 372, 389–90, 392–93, 423–24, 427, 447–48, 449–50,
451–52, 457
mathematical, 270, 300, 328, 380, PB 301, 335, 367, 427
predictions (make), 208–9, 229, 336–37, 356, 380, PB 235–36,
379–80, 403–4
problem solving (seeProblem-Solving, Applications;
Problem-Solving, Strategies)
proportional reasoning, 152–53, 154–55, 156–57, 158–59, 160–61,
162–63, 166–67, 208–9, 336–37, 374–75, PB 171–72, 173–74,
175–76, 177–78, 179–80, 181–82, 185–86, 235–36, 358, 361–62,
379–80, 381–82, 404, 421–22
relationships, 46–47, 154–55, 156–57, 158–59, 224–25, 228–29,
248–49, 253, 257, 260–61, 270, 326, 358–59, 362, 370–71, 372–73,
374–75, 402, PB 49–50, 173–74, 175–76, 177–78, 251–52, 279–80,
291–92, 301, 365, 384, 405–6, 409–10, 411–12, 417–18, 419–20,
421–22
spatial reasoning, 241, 243, 245, 247, 249, 251, 253, 255, 257, 259, 261,
263, 267, 269, 273, 275, 277, 279, 281, 283, 285, 287, 289, 291, 293,
295, 297, 299, 303, 305, 307, 309, 311, 313, 315, 317, 319, 321, 323,
325, 327, PB 271–72, 273–74, 275–76, 277–78, 279–80, 281–82,
283–284, 285– 86, 287–88, 289–90, 291–92, 293–94, 297–98,
299–300, 307–8, 309–10, 312, 313–14, 315–16, 317–18, 319–20,
321–22, 323–24, 325–26, 327–28, 329–30, 331–32, 333–34, 341–42,
343–44, 345–46, 347–48, 349–50, 351–52, 353–54, 355–56, 357–58,
359–60, 361–62, 363–64, 365–66, 370, 411–12, 417–18, 419–20
true/false, 17, 35, 54–55, 60–61, 62–63, 64–65, 356–57, 398–99, 400,
PB 62, 67, 69, 71, 400, 402, 403, 418
visual reasoning, 108, 114, 142, 302–3, 304–5, 306–7, 356–57, 362–63,
364–65, 366–67, 368–69, 370–71, 372–73, 374, PB 123, 130, 157,
341–42, 343–44, 345–46, 347–48, 349–50, 351–52, 353–54, 355–
56, 357–58, 359–60, 361, 369–70, 402, 403–4, 409–10, 411–12,
413, 415–16, 417–18, 419, 435–36, 439
write a rule, 12, 359, PB 399, 401, 405–6
Reciprocal, 126–30, 132–33, 136–39, PB 141–42
Rectangular prism, 302
Reflections, 370–71, PB 417–18
Regular polygons, 252, PB 283–84
Relations
identify domain/range, 358–59, PB 405–6
identify types
one to many/many to many (not functions), 358–59, PB 405–6
one to one/many to one (functions), 358–59, PB 405–6
Relatively prime, 113, PB 127–28
Repeating decimals, 72–73, PB 83–84
Review
Chapter Test, PB 29–30, 57–58, 79–80, 119–20, 163–64, 193–94,
231–32, 267–68, 303–4, 337–38, 369–70, 395–96, 429–30, 459–60
Check Your Progress, online @ http://www.progressinmathematics.com
Cumulative Review, PB 31–32, 59–60, 81–82, 121–22, 165–66, 195–96,
233–34, 269–70, 305–6, 339–40, 371–72, 397–98, 431–32, 461–62
Do You Remember?, 1, 29, 53, 71, 107, 147, 173, 207, 239, 271, 301,
329, 351, 381
Skills Update (review of prerequisite skills necessary to understand
the skills and concepts of Foundations of Algebra)
add and subtract fractions, 414(SU)
add and subtract whole numbers and decimals, 409(SU)
bar graphs, 415(SU)
compare and order decimals, 408(SU)
compare and order whole numbers, 407(SU)
compute with units of measure, 416(SU)
divide decimals, 413(SU)
divide fractions, 415(SU)
divide whole numbers, 412(SU)
division patterns, 410(SU)
estimate products, 411(SU)
estimate quotients, 411(SU)
estimate sums and differences, 409(SU)
fractions greater than or equal to 1, 413(SU)
line graphs, 416(SU)
multiplication patterns, 410(SU)
multiply decimals, 412(SU)
multiply fractions, 414(SU)
multiply whole numbers, 411(SU)
place value, 407(SU)
round whole numbers and decimals, 408(SU)
Tell About It, PB 30, 32, 58, 60, 80, 82, 120, 122, 164, 166, 194, 196,
232, 234, 268, 270, 304, 306, 338, 340, 370, 372, 396, 398, 430,
432, 460, 462
Test Prep (lessons), 27–28, 52, 69–70, 105–6, 145–46, 171–72, 205–6,
238, 270, 300, 328, 349–50, 380, 406
Test Preparation, PB 4, 16, 34, 46, 106, 152, 159, 168, 212, 254, 278,
296, 318, 324, 348, 360, 388, 402, 438
Write About It, PB 2, 6, 18, 42, 64, 86, 90, 130, 136, 138, 142, 148,
174, 182, 189, 200, 202, 216, 222, 224, 236, 264, 280, 358, 362, 376,
412, 416, 422, 426, 434, 452
Rhombus, 260
Right angle, 242–43, PB 273–74
Right triangles
construct, 281, 298
defined, 254, PB 285–86
indirect measurement, 160, PB 179
similar/indirect measurement, 160, PB 179–80
use the Pythagorean Theorem, 280–81, 309, PB 315–16
Rise (see alsoSlope), 364–65, PB 411–12
Rotational symmetry, 290–91, PB 325–26
Rotations, 372–73, PB 419–20
Rounding (for rules, seeEstimation; for computation, seeEstimation
strategies)
Run (see alsoSlope), 364–65, PB 411–12
Sale price, 194–95, PB 217–18
Sales tax, 192–93, PB 215–16