444 IndexDiscuss and Write, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 26, 31, 33, 35, 37,
39, 41, 43, 45, 47, 51, 55, 57, 59, 61, 63, 65, 68, 73, 75, 77, 79, 81, 83, 85,
87, 89, 91, 93, 95, 97, 99, 101, 104, 109, 111, 113, 115, 117, 119, 121,
123, 125, 127, 129, 131, 133, 135, 137, 139, 141, 144, 149, 151, 153, 155,
157, 159, 161, 163, 165, 167, 170, 175, 177, 179, 181, 183, 185, 187, 189,
191, 193, 195, 197, 199, 201, 204, 209, 211, 213, 215, 217, 219, 221, 223,
225, 227, 229, 231, 233, 237, 241, 243, 245, 247, 249, 251, 253, 255, 257,
259, 261, 263, 265, 269, 273, 275, 277, 279, 281, 283, 285, 287, 289,
291, 293, 295, 299, 303, 305, 307, 309, 311, 313, 315, 317, 319, 321, 323,
327, 331, 333, 335, 337, 339, 341, 343, 345, 353, 355, 357, 359, 361, 363,
365, 367, 369, 371, 373, 375, 379, 383, 385, 387, 389, 391, 393, 395, 397,
399, 401, 405
Division
decimals
divide a decimal by a decimal, 413(SU)
divide positive and negative decimals, 86–87, PB 97–98
divisibility rules, 413(SU)
three ways to check, 86–87, PB 97–98
estimate quotients
compatible numbers, 84–85, PB 95–96
rounding, 84–85, PB 95–96
fractions, 126–27, 415(SU), PB 141–42
integers
inverse operations (multiplication/division), 12
with like/unlike signs, 12–13, PB 11–12
model (with tiles and number lines), 12–13
mixed numbers, 128–29, PB 143–44
patterns of (powers/multiples of 10), 410(SU)
reciprocal/multiplicative inverse, 126
whole numbers, 412(SU)
Do You Remember?, 1, 29, 53, 71, 107, 147, 173, 207, 239, 271, 301, 329,
351, 381
Enrichment(see alsoChallenge; Critical Thinking)
Area of Irregular Polygons, 298–99, PB 333–34
Be a Math Magician, 50–51, PB 53–54
Bicycle-Gear Math, 170, PB 189
Binary Numbers, 104, PB 115
Combining Transformations, 378–79, PB 425–26
Define, Substitute, and Compute, 68, PB 75
Different Ways to Find the GCF, 144, PB 159
Financial Spreadsheets, 236–37, PB 263–64
Graphing with Absolute Values, 404–5, PB 455–56
Pascal’s Triangle, 348, PB 391
Quadrilaterals from Quadrilaterals, 268–69, PB 299–300
Sequence Sums, 26, PB 25
Successive Discounts and Increases, 204, PB 227
Three-Dimensional Figures and the Ratio of Similarity, 326–27,
PB 365–66
Equations
absolute value, 2–3, 53, 404–5, PB 1–2, 455–56
absolute value functions, 404–5, PB 455–56
addition, 36–37, PB 39–40
algebraic/open sentence, 34–35, PB 37–38
concepts, 34–35, PB 37–38
with decimals, 98–99, PB 109–10
addition/subtraction, 94–95, PB 105–6
multiplication/division, 96–97, PB 107–8
two-step equations, 98–99, PB 109–10
write/solve, 99
direct variation, 364–65, PB 411–12
division, 42–43, PB 45–46
with fractions
addition/subtraction, 134–35, PB 149–50
multiplication/division, 136–37, PB 151–52
two-step equations, 138–39, PB 153–54
function tables, 358–62, PB 405–9
multiplication, 40–41, PB 43–44
multistep, with variables on one side or both sides, 396–97,
PB 447–48
numerical/closed sentence, 34–35, PB 37–38
slope, 364–65, PB 411–12
subtraction, 38–39, PB 41–42
translate, 34–35, PB 37–38
two-step
model/solve, 44–45, PB 47–48
solve using properties of equality, 44–45, 99, PB 47–48
write and solve, 99, 139, 192, 194, 197, 270
Estimation
check for reasonableness, 37, 39, 80–81, 86, 97, 105, 124–25, 205,
271, 300, PB 42, 91, 93
fraction sense, 114–15, PB 129–30
rounding
check solution of an equation, 37, 39
decimal sums/differences, 78–79, 81, PB 89–90, 91–92
products/quotients, 84–85, 411(SU), PB 95–96
rounding rules, 78
sums/differences, 80–81, 409(SU), PB 91–92
Estimation strategies
clustering, 79, PB 89–90
compatible numbers, 84–85, PB 97–98
front-end, 79, 409(SU), PB 89–90
powers of 10, 82–83, PB 93–94
rounding, 78–79, 81, 84–85, 408(SU), 409(SU), 411(SU),
PB 89–90, 91–92, 95–96
Euler’s Formula, 303, PB 341–42
Exponents
base, 18–19, PB 17–18
forms (standard/exponential/factored), 18–19, PB 17–18
Laws of Exponents for Division, 19
Laws of Exponents for Multiplication, 18–19
Laws of Exponents for Zero, 19
negative, 88–89, PB 99–100
Expressions
algebraic
simplify and evaluate, 32–33, PB 35–36
simplify using properties/combine like terms, 32–33,
PB 35–36
term/coefficient/constant, 32–33, PB 35–36
translate, 32–33, PB 36
variables, 32–33, PB 35–36
with exponents, 18–19, PB 17–18
numerical, 30–31, PB 33–34
translate, 30–31, PB 33–34Factors
common, 110–11, 149, PB 125–26
definition, 108
factor tree, 108
greatest common factor (GCF)
concepts, 110–11, 149, PB 125–26
find by listing all factors, 110–11, 149, PB 125–26
find using division, 144
find using prime factorization, 110–11, 149, PB 125–26
find using subtraction, 144
multiply fractions using, 414(SU)
use to form equivalent fractions, 111, 149, PB 125–26
use to simplify fractions, 111, 149, PB 125–26
scale, 162–63, 322, PB 181–82
Formulas (see alsoAlgebra, formulas; Measurement; Probability)
area
circle, 286–87, 288, PB 321–22
parallelogram, 282–83, 288, 392, PB 317–18
rectangle, 47, 288, 301, 390, PB 49–50
trapezoid, 284–85, 288, PB 319–20
triangle, 284–85, 301, 315, 394, PB 319–20
circumference, 286–87, PB 321–22
commission, 196–97, PB 219–20
concepts, 46–47, PB 49–50