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M AT H E X P L O R AT I O N S Index A B acute angle– 296 balanced– 220 balance scale model– See models acute triangle– 312 bar graph– 376 algebraic equation– See equation base– 90, 325 angle– 294 base of a triangle– 327 apex– 349 base ten system– 194 area– 45, 324 brownie model– 125 area model– 127,See models area of a circle– 342 C area of a parallelogram– 326 capacity– 277 area of a triangle– 328 Cartesian coordinate system– 27 Arithmetic, Fundamental Theorem of– See Fundamental Theorem of Arithmetic celsius– 286 average. See mean chords– 337 axis– 25, 22 circle– 337 center of a circle– 337 horizontal axis– See horizontal axis circle graph– 378 vertical axis– See vertical axis circumference– 338, 339 Copyright © 2011 Texas State Mathworks 427 M AT H E X P L O R AT I O N S Index common denominator– 142, 159 counterclockwise– 25 common factor– 103 counting numbers– 3 common multiple– 113 cube– 350 commutative property of multiplication– 45, 46 customary unit– 271 D complement– 387 data– 366 complementary angles– 301 data analysis– 365 composite– 79 data point– 366 compound event– 387 datum– See data compound experiment– 386 decimal equivalents– 194 congruent– 308, 310, 312 decimal number– 151 conjecture– 309 degree– 295 constant– 343 denominator– 126 coordinate– 24; 27 diameter– 337 x-coordinate– 27 dimension– 149, 348 y-coordinate– 27 dimensional analysis– 272 coordinate plane– 24 discrete model– 130. Also see models coordinate system– 27 Copyright © 2011 Texas State Mathworks 428 M AT H E X P L O R AT I O N S Index distance– 2, 5. experiment– 385 distributive property– 48 exponent– 89 dividend– 54, 64 exponential notation– 89 divisibility– 78 expression– 19 divisible– 78 division algorithm– 64 divisor– 54, 64 domain– 228 F face– 348 factor– 38, 54, 78 factoring– 98 E Fahrenheit– 286 edge– 348 feet– 272 endpoint– 293 four-step process– 223 equation– 217 fraction– 132,126 equilateral triangle– 306 Fraction Chart– 129, 140, 196 equivalent fraction– 130 frequency– 368 equivalent fraction property– 132. See also equivalent fraction Eratosthenes, Sieve of– See Sieve of Eratosthenes frog model– See models function– 227, 228 domain– 228 event– 387 Copyright © 2011 Texas State Mathworks 429 M AT H E X P L O R AT I O N S Index input– 227, 228 improper fraction– 148 range– 228 independent– 395 function notation– 229 input/output– 227, 228 Fundamental Theorem of Arithmetic– 98 integer– 4 isosceles triangle– 307 G L GCF– See greatest common factor lattice point– 27 grams– 282 LCD– See least common denominator graph– 24; 229, 376 LCM– See least common multiple graph of a function– 229 least common denominator– 160 greater than– 8 least common multiple– 113 greatest common factor– 103 less than– 8 H line– 293, 296 height– 325 linear model– 45. Also see models hexagon– 315 line graph– 380 horizontal axis– 25 line plot– 368 hypotenuse of right triangle– 311 line segment– 293 I Copyright © 2011 Texas State Mathworks liter– 278 430 M AT H E X P L O R AT I O N S Index number line model– 2 M skip counting– 37; See also frog model mass– 282 mean– 366 tree diagram– 385, 395 measure of angle notation– 299 multiplicative identity– 79 measure of central tendency– 366 median– 367 N natural number– 3 metric unit– 271 negative integers– 3 midpoint– 192 non-negative integers– 3 missing factor model– 54 Also see models notation– 229 mixed fraction– 148 number line– 2, See also models mode– 368 scaling– 2 models area model– 45, 61, 243 timeline– 14 number line model– 2 brownie model– 125 numbers counting numbers. See counting numbers frog model– 37, 40; See also skip counting model linear model– 45 integers– See integer missing factor model– 54 natural numbers. See natural Copyright © 2011 Texas State Mathworks 431 M AT H E X P L O R AT I O N S Index number parallelogram– 315 positive integers. See integer partial product– 46 whole numbers. See whole number percent– 201 numerator– 126 perfect cube– 101 perfect square– 100 O obtuse angle– 296 perimeter– 323 obtuse triangle– 312 perpendicular– 300 order greater than– See greater than pie graph– 378 polygon– 206 less than– See less than polyhedron– 348 ordered pairs– 27 positive– 3 ordering fractions– 139, 141 positive integer– 3 order of operations– 92 pounds– 282 origin– 2, 24 power– 90 outcome– 385 prime– 79 output– 227 prime factor– 99 P prime factorization– 99 parallel– 315 Copyright © 2011 Texas State Mathworks prism– 348 432 M AT H E X P L O R AT I O N S Index rectangular prism– 348 probability– 384, 387 regular– 318, 350 proper fraction– 148 relatively prime– 105 proportion– 261 remainder– 64 proportion method– 262 repeating decimal– 197 protractor– 295 rhombus– 316 Pythagorean Theorem– 311 right angle– 296 Q right triangle– 311 quadrant– 25 Rule of Product– 395 quadrilateral– 314 Rule of Sum– 396 quotient– 54, 64 S R sample space– 385 radius– 337 scaffolding– 68 range– 228, 366 scalene triangle– 308 rate– 255 scaling– 2 ratio– 254 sector– 347 ray– 293 semicircle– 337 rectangle– 315 sequence– 3, 211, 212 Copyright © 2011 Texas State Mathworks 433 M AT H E X P L O R AT I O N S Index trisected– 313 Sieve of Eratosthenes– 82, 93 U simple event– 387 unit fraction– 147 simple experiment– 385 unit rate– 255 simplest form– 133 Unit Rate Method– 262 simplifying– 132 V stem and leaf plot– 369 variable– 8, 19, 217 straight angle– 296 Venn diagram– 108 supplementary– 299 vertex– 294, 306, 348 surface area– 351 vertical addition– 168 T vertical axis– 25 tessellation– 209 vertices. See vertex theoretical probability– 388 volume– 277, 351 three-dimensional figure– 348 volume of a 3-D shape– 339, 341 timeline– 14 W trapezoid– 316 weight– 282 tree diagram– 385 whole number– 3 Triangle Sum Theorem– 310 Copyright © 2011 Texas State Mathworks 434 M AT H E X P L O R AT I O N S Index X x-axis– 25 x-coordinate– 27 Y yard– 272 y-axis– 25 y-coordinate– 27 Copyright © 2011 Texas State Mathworks 435