6th Grade Math Textbook, Fundamentals

(Marvins-Underground-K-12) #1
Index 445

density, 361, PB 407–8
dependent/independent events, 340–41, PB 383–84
discount/sale price, 194–95, PB 217–18
discount rate/markup rate, 194–95, PB 217–18
distance, 363, PB 407–8
Euler’s Formula, 303
find measures of angles in regular polygons, 253, PB 283–84
odds, 338–39, PB 381–82
Percent Formula, 180–81, PB 203–4
percent increase/decrease, 188–91, PB 211–14
perimeter, 46–47, 274–75, PB 49–50, 309–10
Pick’s Formula, 299
probability, 334–35, PB 377–78
profit/selling price/loss, PB 211–14
Pythagorean Theorem, 280–81, PB 315–16
sales tax/total cost/tips, 192–93, PB 215–16
scale factor, 322
simple interest, 198–99, PB 221–22
on spreadsheets, 236–37, PB 263–64
surface area, 306–7, 308–9, 310–11, 320–21, PB 345–46, 347–48,
349–50, 359–60
Tables: Formula Chart, 440
temperature conversions, PB 148
volume, 314–15, 320–21, PB 353

Fractions
add/subtract, 118–19, 414(SU), PB 133–34
compare/order, 116–17, PB 131–32
complex, 127
divide, 126–27, 415(SU), PB 141–42
estimation with a number line, 114–15, PB 129–30
fraction bar as division symbol, 133
fraction sense, 114–15, PB 129–30
fractions greater than or equal to 1 (improper), 413(SU)
lowest terms (simplest form), 113
and mixed numbers
add/subtract, 120–21, PB 135–36
divide, 128–29, PB 143–44
multiply, 124–25, PB 139–40
rename fractions greater than 1, 116
multiply, 122–23, 414(SU), PB 137–38
on a number line, 114–15, PB 129–30
related to benchmarks, 114–15, PB 129–30
related to decimals, 117
rename using LCD, 116
simplify using GCF, 111, PB 125–26


Frequency tables, 209, PB 235–36


Functions
find solutions by making a function table, 360–61, PB 407–8
graph absolute-value functions, 404–5, PB 455–56
identify, 358–59, PB 405–6
write equation to represent, 358–59


Gauss, Carl Friedrich, 26


Geometric sequences, 352–53, PB 399–400


Geometry
constructions
angle bisector, 249, PB 279–80
figures, 248, PB 279–80
with line/rotational/point symmetry, 290–91, PB 325–26
intersections, 259
lines, 250–51, PB 281–82
perpendicular bisector, 248–49, PB 279–80
scale factor, 322–23, PB 361–62
tessellations, 292–93, PB 327–28
three-dimensional figures, 304–5, PB 343–44
triangles, 258–59, PB 289–90
lines
bisect, 248–49, PB 279–80
bisector, 248, PB 279


congruent, 248–49, PB 279–80
constructions, 250–51, PB 281–82
parallel
angles of, 246–47, PB 277–78
congruent angles, 246–47, PB 277–78
transversal, 246–47, PB 277–78
perpendicular, 250–51, PB 281–82
bisector, 248–49, PB 279–80
ray, 240, PB 271–72
skew, 241
measure (seeMeasurement)
plane figures
angle
classify
acute/obtuse/straight/reflex, 242–43, PB 273–74
right, 242–43, PB 273–74
congruent angles, 248–49, PB 279–80
draw, 248–49, PB 279–80
measures, 242–43, PB 273–74
pairs
adjacent/linear/vertical, 244–45, PB 275–76
alternate interior/alternate exterior/corresponding,
246–47, PB 277–78
classified by sums (complementary, supplementary),
244–45, PB 275–76
congruent, 248–49, PB 279–80
created by transversal/parallel lines (interior, exterior),
246–47, PB 277–78
find missing measure, 246–47, PB 277–78
points (interior, exterior), 242
unit of measure/degrees, 242–43, PB 273–74
circle
angles (central, inscribed), 262–63, PB 293–94
arcs (semicircle, major, minor), 262–63, PB 293–94
centers, 262
chords, 262, PB 293
find radius or diameter when area or circumference is
given, 286–87, PB 322
parts, 262–63, PB 293–294
related to other circles (concentric), 262–63, PB 294
related to polygons (circumscribed, inscribed), 262–63,
PB 294
secants, 263
tangents, 263
planes (parallel, intersecting, perpendicular), 241, PB 272
polygon
find missing measure of angles, 252–53, PB 283–84
find sum of angle measures, 252–53, PB 283–84
identify regular, concave, convex, 252, PB 284
quadrilaterals
classify, 260–61, PB 291–92
congruent triangles (SSS, SAS, ASA), 256–57,
PB 287–88
formed by joining midpoints of other quadrilaterals,
268–69, PB 299–300
midpoint, 268, PB 291–92
properties, 260–61, PB 291–92
regular
hexagon, 252, PB 283–84
pentagon, 252, PB 283–84
quadrilateral, 252, PB 283
triangle
classify, 254–55, PB 285–86
congruent (SSS, SAS, ASA), 256–57, PB 287–88
congruent sides/symbol (tick marks), 254
constructions, 258–59, PB 289–90
find missing side and angle measures, 256–57, PB 287–88
Triangle Inequality Theorem, 255
point, 240–41, PB 271–72
symmetry
line/line of, 290–91, PB 325–26
point, 290, PB 325–26
rotational, 290–91, PB 325–26
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