6th Grade Math Textbook, Fundamentals

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

graph solution set of inequalities with rational numbers, 399, 401
horizontal/vertical, 4–5, 29, PB 3–4
integers on, 2–3, PB 1–2
irrational numbers on, 278, PB 314
marked price/tax/total cost, 192
model properties of inequalities on, 58–59, PB 66
multiply integers on, 10
percent, 180, 182, 184, 186
percent greater than 100%, 178
probabilities on, 334
rational numbers on, 73
square roots on, 276
subtract integers on, 8–9

Number theory
composite numbers, 108–9, PB 123–24
factoring, 411(SU)
greatest common factor (GCF)
concepts, 110–11, 149, PB 125–26
form equivalent fractions, 110, PB 125–26
fractions in simplest form, 110, PB 125–26
list the factors, 110–11, PB 125–26
multiply fractions, 122–23, 414(SU), PB 137–38
use prime factorization, 110–11, PB 125–26
least common denominator (LCD), 113, 414(SU), PB 127–28
least common multiple (LCM), 112–13, PB 127–28
prime, 108–9, PB 123–24
prime factorization, 108–9, PB 123–24
relatively prime, 113, PB 127–28


Numerator, 114, 413(SU)


Obtuse angles, 242–43, PB 273–74


Obtuse triangles, 254–55, PB 285–86


Octagon, 274


Odds, 338–39, PB 381–82


Order
decimals, 76–77, 408(SU), PB 87–88
integers, 4–5, PB 3–4
rational numbers, 116–17, PB 131–32
scientific notation, 90–91, PB 102
whole numbers, 407(SU)


Ordered pairs, 22–23, 207, 351, 358–59, 360–61, 362–63, 366, PB 21–22


Order of operations
integers, 20–21, PB 19–20
rational numbers, 132–33, PB 147–48


Origin, 22–23, 266, 362, 372–73, 378–79, PB 21–22


Orthographic drawings (see alsoIsometric drawings), 304–5,
PB 343–44


Outcomes, 330–31, 334–35, 336–37, 338–39, 340, 344, PB 373–74,
377–78, 379–80, 381–82, 383, 387


Outliers, 222, PB 249–50


Output, 358–59, PB 405–6


Parabolas, 366


Parallel lines, 241, PB 271


Parallelograms, 260–61, PB 291–92


Parentheses (see alsoGrouping symbols), 146


Pascal, Blaise, 348


Pascal’s Triangle, 348, PB 391
Patterns
algebraic, 354–55, PB 401–2
conjecture (based on pattern), 356–57, PB 403–4
division, 87
find a pattern, 66–67, 102–3, PB 73–74
find missing term, 354–55, PB 401–2
geometric, 352–53, PB 399–400
linear functions, 360–61, PB 407–8
make predictions based on, 380
multiplication/division (powers/multiples of 10), 410(SU)
Pascal’s Triangle, 348, PB 391
pattern rules, 352–53, 354–55, PB 399–400, 401–2
place-value chart, 88
relations/functions, 358–59, PB 405–6
rules for dividing/multiplying integers, 12
sequences
algebraic, 354–55, PB 401–2
arithmetic, 352–53, PB 399–400
geometric, 352–53, PB 399–400
triangular numbers, 354
sequence sums, 26
tessellations, 292–93, PB 327–28
use to find products of more than two negative factors, 11
Percent
benchmarks, 186
commission
compare, 196–97, PB 220
find commission/rate/total sales, 196–97, PB 219–20
compare to decimals/fractions, 176–77, PB 199–200
compound interest
find interest rate per period, 200–1, PB 223–24
find the balance, 200–1, PB 223–24
use a compound interest table, 200–1, PB 223–24
concepts of, 174–75, PB 197–98
discount/markup
find amount of markup, 194–95, PB 217–18
find discount rate, 194–95, PB 217–18
discount/sale price, 194–95, PB 217–18
estimate
use benchmarks, 186–87, PB 209–10
use models, 186–87, PB 209–10
find a percent, 182–83, PB 205–6
find percentage of a number, 180–81, PB 203–4
find the original number (base), 184–85, PB 207–8
find the percent decrease, 190–91, PB 213–14
find the percent increase, 188–89, PB 211–12
mental math
calculate tip, 193, PB 216
rename ratio with second term of 10 or 1000, 174
use compatible numbers, 186–87, PB 209–10
model, 174–75, PB 197–98
percent change (increase/decrease), 188–89, 190–91, PB 211–12,
213–14
Percent Formula, 180–81, 182–83, 184–85, PB 203–4, 205–6, 207–8
percent proportion, 180–81, 182–83, 184–85, PB 203–4, 205–6, 207–8
percents greater than 100%/less than 1%, 178–79, PB 201–2
profit/loss/selling price, 189, 191, PB 211–12, 214
related to decimals, 176–77, 178–79, PB 199–200, 201–2
related to fractions, 174–75, 176–77, 179, PB 197–98, 199–200,
201–2
rename ratio as, 174–75, PB 197–98
sales tax/total cost, 192–93, PB 215–16
sales tax tables, 193, PB 216
simple interest
compute using a spreadsheet, 199
find amount earned or due, 198–99, PB 221–22
find amount of time, 198–99, PB 222
find rate of interest, 198–99, PB 221–22
formula, 198–99, PB 221–22
principle/rate/time, 198–99, PB 221–22
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