Correlation to the Common Core State Standards Go Math! 2011 Grade 3 Common Core is a trademark of the National Governors Association Center for Best Practices and the Council of Chief State School Officers. Houghton Mifflin Harcourt Publishing Company. All rights reserved. Printed in the U.S.A. 07/13 MS79524d
Explanation Of Correlation The following document is a reverse correlation of Go Math! to the Common Core State Standards for Mathematics. The format for this correlation follows the same basic format established by the State Standards, modified to accommodate the addition of page references. The correlation provides a cross-reference between the skills in the State Standards and representative page numbers where those skills are taught or assessed. The references contained in this correlation reflect Houghton Mifflin Harcourt s interpretation of the Mathematic objectives outlined in the Common Core State Standards. Key to References SE Student s Edition TE Teacher s Edition PG Practice Guide PB Practice Book
Houghton Mifflin Harcourt Go Math! Grade 3 2011 correlated to the Common Core State Standards for Mathematics Grade 3 Standards for Mathematical Practice 1. Make sense of problems and persevere in solving them. SE: 9 12, 45 48, 49 52, 59 62, 63 66, 67 70, 89 92, 102, 107 110, 111 114, 115 118, 133 136, 137 140, 143 146, 147 150, 161 164, 168, 169 172, 173 176, 177 180, 183 186, 191 194, 195 198, 205 208, 209 212, 213 216, 217 220, 221 224, 227 230, 231 234, 235 238, 253 256, 257 258, 265 268, 271 274, 275 278, 279 282, 301 304, 305 308, 313 316, 319 322, 323 326, 327 330, 331 334, 351 354, 377 380, 390, 416, 466, 467 470, 488, 506, 519, 520, 550, 558, 562 TE: 9A 9B, 9 12, 45A 45B, 45 48, 49A 49B, 49 52, 59A 59B, 59 62, 63A 63B, 63 66, 67A 67B, 67 70, 89A 89B, 89 92, 102, 107A 107B, 107 110, 111A 111B, 111 114, 115A 115B, 115 118, 133A 133B, 133 136, 137A 137B, 137 140, 143A 143B, 143 146, 147A 147B, 147 150, 161A 161B, 161 164, 168, 169A 169B, 169 172, 173A 173B, 173 176, 177A 177B, 177 180, 183A 183B, 183 186, 191A 191B, 191 194, 195A 195B, 195 198, 205A 205B, 205 208, 209A 209B, 209 212, 213A 213B, 213 216, 217A 217B, 217 220, 221A 221B, 221 224, 227A 227B, 227 230, 231A 231B, 231 234, 235A 235B, 235 238, 253A 253B, 253 256, 257A 257B, 257 258, 265 268, 271A 271B, 271 274, 275A 275B, 275 278, 279A 279B, 279 282, 301A 301B, 301 304, 305A 305B, 305 308, 313A 313B, 313 316, 319 322, 323A 323B, 323 326, 327A 327B, 327 330, 331A 331B, 331 334, 351A 351B, 351 354, 377A 377B, 377 380, 390, 416, 466, 467A 467B, 467 470, 488, 506, 519, 520, 550
2. Reason abstractly and quantitatively. SE: 5 8, 9 10, 13 16, 17 20, 27 30, 31 34, 45 48, 49 52, 55 58, 59 62, 63 66, 89 92, 93 96, 103 106, 107 110, 111 114, 115 118, 151 154, 161 164, 165 168, 169 172, 173 176, 177 180, 187 190, 195 198, 205 208, 209 212, 213 216, 217 220, 221 224, 227 230, 231 234, 235 238, 239 242, 243 246, 253 256, 257 260, 261 264, 265 268, 271 274, 275 278, 283 286, 291 294, 301 304, 309 312, 313 316, 319 322, 323 326, 327 330, 365 368, 387 390, 391 394, 395 398, 399 402, 405 408, 429 432, 433 436, 437 440, 441 444, 445 448, 451 454, 455 458, 459 462, 463 466, 467 470, 471 474, 481 484, 489 492, 493 496, 499 502, 503 506, 507 510, 541 544, 547 550, 551 554 TE: 5A 5B, 9A 9B, 13A 13B, 17A 17B, 27A 27B, 31A 31B, 41A 41B, 45A 45B, 49A 49B, 55A 55B, 59A 59B, 63A 63B, 89A 89B, 93A 93B, 103A 103B, 107A 107B, 111A 111B, 115A 115B, 151A 151B, 161A 161B, 165A 165B, 169A 169B, 173A 173B, 177A 177B, 187A 187B, 195A 195B, 205A 205B, 209A 209B, 213A 213B, 217A 217B, 221A 221B, 227A 227B, 231A 231B, 235A 235B, 239A 239B, 243A 243B, 253A 253B, 257A 257B, 261A 261B, 265A 265B, 271A 271B, 275A 275B, 283A 283B, 291A 291B, 301A 301B, 305A 305B, 309A 309B, 313A 313B, 319A 319B, 323A 323B, 327A 327B, 365A 365B, 387A 387B, 391A 391B, 395A 395B, 399A 399B, 405A 405B, 425A 425B, 429A 429B, 433A 433B, 437A 437B, 441A 441B, 445A 445B, 451A 451B, 455A 455B, 459A 459B, 463A 463B, 467A 467B, 471A 471B, 481A 481B, 489A 489B, 493A 493B, 499A 499B, 503A 503B, 507A 507B, 541A 541B, 547A 547B, 551A 551B 2
3. Construct viable arguments and critique the reasoning of others. SE: 8, 12, 13, 34, 47, 58, 62, 106, 176, 186, 208, 220, 308, 316, 322, 326, 334, 358, 376, 380, 428, 432, 436, 448, 454, 484, 492, 496, 502, 524, 534, 536 TE: 8, 12, 13, 34, 47, 58, 62, 106, 176, 186, 208, 220, 308, 316, 322, 326, 334, 358, 376, 380, 428, 432, 436, 448, 454, 484, 492, 496, 502, 521B, 524, 534, 536 4. Model with mathematics. SE: 67 70, 113, 129 131, 137 140, 143 146, 147 150, 151 154, 183 186, 227 230, 238, 282, 322, 335 338, 519, 528 TE: 67A 67B, 67 70, 113, 129B, 129 131, 137A 137B, 137 140, 143A 143B, 143 146, 147A 147B, 147 150, 151A 151B, 151 154, 183 186, 227A 227B, 238, 282, 322, 335A 335B, 335 338, 519, 528 5. Use appropriate tools strategically. SE: 23 26, 27 30, 77 80, 81 84, 85 88, 99 102, 103 105, 355 358, 392 393, 397 398, 399 402, 406 408, 429 432, 517 520, 521 524, 525 528, 529 532, 537 540, 555 558, 559 562, 563 566 TE: 23A 23B, 23 26, 27A 27B, 27 30, 77A 77B, 77 80, 81A 81B, 81 84, 85A 85B, 85 88, 99A 99B, 99 102, 103 105, 355A 355B, 355 358, 392 393, 397 398, 399A 399B, 399 402, 406 408, 429A 429B, 429 432, 517A 517B, 517 520, 521A 521B, 521 524, 525A 525B, 525 528, 529A 529B, 529 532, 537A 537B, 537 540, 555A 555B, 555 558, 559A 559B, 559 562, 563A 563B, 563 566 3
6. Attend to precision. SE: 107 110, 187 190, 227 230, 243 246, 255 256, 257 260, 264, 274, 275 278, 322, 338, 368, 372, 373 376, 391 394, 409 412, 413 416, 537 539 TE: 107A 107B, 107 110, 187A 187B, 187 190, 227A 227B, 227 230, 243A 243B, 243 246, 255 256, 257A 257B, 257 260, 264, 274, 275A 275B, 275 278, 322, 338, 368, 372, 373A 373B, 373 376, 391A 391B, 391 394, 409A 409B, 409 412, 413 416, 537B, 537 539 7. Look for and make use of structure. SE: 5 8, 23 26, 191 194, 213 216, 217 220, 239 242, 283 286, 287 290, 347 350, 355 358, 359 362, 369 372, 499 502, 507 510, 529 532 TE: 5A 5B, 5 8, 23A 23B, 23 26, 191A 191B, 191 194, 213A 213B, 213 216, 217A 217B, 217 220, 239A 239B, 239 242, 283A 283B, 283 286, 287A 287B, 287 290, 347A 347B, 347 350, 355A 355B, 355 358, 359A 359B, 359 362, 369A 369B, 369 372, 499A 499B, 499 502, 507A 507B, 507 510, 529A 529B, 529 532 8. Look for and express regularity in repeated reasoning. SE: 43, 47, 50 51, 61, 65, 116 117, 184 185, 279, 292 293, 306 307, 328 329, 375 TE: 43, 47, 50 51, 61, 65, 110, 116 117, 184 185, 221B, 279, 292 293, 306 307, 328 329, 375 4
Standards for Mathematical Content 3.OA Operations and Algebraic Thinking Represent and solve problems involving multiplication and division. 1. Interpret products of whole numbers, e.g., interpret 5 x 7 as the total number of objects in 5 groups of 7 objects each. SE: 161 164, 165 168, 169 172, 173 176, 177 180, 183 186, 187 190, 191 194, 195 198, 205 208, 209 212, 213 216, 217 220, 221 224, 227 230, 231 234, 235 238, 243 246 TE: 161A 161B, 161 164, 165A 165B, 165 168, 169A 169B, 169 172, 173A 173B, 173 176, 177A 177B, 177 180, 183A 183B, 183 186, 187A 187B, 187 190, 191A 191B, 191 194, 195A 195B, 195 198, 205A 205B, 205 208, 209A 209B, 209 212, 213A 213B, 213 216, 217A 217B, 217 220, 221A 221B, 221 224, 227A 227B, 227 230, 231A 231B, 231 234, 235A 235B, 235 238, 243A 243B, 243 246 PB: P81, P83, P85, P87, P89, P91, P93, P95, P97, P103, P105, P107, P109, P111, P113, P115, P117, P121 2012 Edition: 3.3 5
2. Interpret whole-number quotients of whole numbers, e.g., interpret 56 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares, or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each. SE: 253 256, 257 260, 261 264, 265 268, 271 274, 275 278, 279 282, 283 286, 287 290, 291 294, 301 304, 305 308, 309 312, 313 316, 319 322, 323 326, 327 330, 331 334, 335 338 TE: 253A 253B, 253 256, 257 257B, 257 260, 261A 261B, 261 264, 265A 265B, 265 268, 271A 271B, 271 274, 275A 275B, 275 278, 279A 279B, 279 282, 283A 283B, 283 286, 287A 287B, 287 290, 291A 291B, 291 294, 301A 301B, 301 304, 305A 305B, 305 308, 309A 309B, 309 312, 313A 313B, 313 316, 319A 319B, 319 322, 323A 323B, 323 326, 327A 327B, 327 330, 331A 331B, 331 334, 335A 335B, 335 338 PB: P127, P129, P131, P133, P135, P137, P139, P141, P143, P145, P151, P153, P155, P157, P159, P161, P163, P165, P167 2012 Edition: 6.1, 6.4 6
3. Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem. SE: 161 164, 165 168, 169 172, 173 176, 177 180, 183 186, 187 190, 191 194, 195 198, 205 208, 209 212, 213 216, 217 220, 221 224, 227 230, 231 234, 235 238, 239 242, 243 246, 253 256, 257 260, 261 264, 265 268, 271 274, 275 278, 279 282, 283 286, 287 290, 291 294, 301 304, 305 308, 309 312, 313 316, 319 322, 323 326, 327 330, 331 334, 335 338, 551 554 TE: 161A 161B, 161 164, 165A 165B, 165 168, 169A 169B, 169 172, 173A 173B, 173 176, 177A 177B, 177 180, 183A 183B, 183 186, 187A 187B, 187 190, 191A 191B, 191 194, 195A 195B, 195 198, 205A 205B, 205 208, 209A 209B, 209 212, 213A 213B, 213 216, 217A 217B, 217 220, 221A 221B, 221 224, 227A 227B, 227 230, 231A 231B, 231 234, 235A 235B, 235 238, 243A 243B, 243 246, 253A 253B, 253 256, 257 257B, 257 260, 261A 261B, 261 264, 265A 265B, 265 268, 271A 271B, 271 274, 275A 275B, 275 278, 279A 279B, 279 282, 283A 283B, 283 286, 287A 287B, 287 290, 291A 291B, 291 294, 301A 301B, 301 304, 305A 305B, 305 308, 309A 309B, 309 312, 313A 313B, 313 316, 319A 319B, 319 322, 323A 323B, 323 326, 327A 327B, 327 330, 331A 331B, 331 334, 335A 335B, 335 338, 551A 551B, 551 554 PB: P81, P83, P85, P87, P89, P91, P93, P95, P97, P103, P105, P107, P109, P111, p113, p115, P117, P119, P121, P127, P129, P131, P133, P135, P137, P139, P141, P143, P145, P151, P153, P155, P157, P159, P161, P163, P165, P167, P273, P274a PG: PG74 2012 Edition: 6.1 7
4. Determine the unknown whole number in a multiplication or division equation relating three whole numbers. SE: 213 216, 217 220, 221 224, 231 234, 235 238, 243 246, 283 286, 291 294, 313 316, 319 322, 323 326, 327 330 TE: 213A 213B, 213 216, 217A 217B, 217 220, 221A 221B, 221 224, 231A 231B, 231 234, 235A 235B, 235 238, 243A 243B, 243 246, 283A 283B, 283 286, 291A 291B, 291 294, 313A 313B, 313 316, 319A 319B, 319 322, 323A 323B, 323 326, 327A 327B, 327 330 PB: P107, P109, P111, P115, P117, P121, P141, P145, P157, P159, P161, P163 Understand properties of multiplication and the relationship between multiplication and division. 5. Apply properties of operations as strategies to multiply and divide. SE: 191 194, 195 198, 213 216, 217 220, 221 224, 231 234, 235 238, 309 312 TE: 191A 191B, 191 194, 195A 195B, 195 198, 213A 213B, 213 216, 217A 217B, 217 220, 221A 221B, 221 224, 231A 231B, 231 234, 235A 235B, 235 238, 309A 309B, 309 312 PB: P95, P97, P107, P109, P111, P115, P117, P155 2012 Edition: 7.11 6. Understand division as an unknown-factor problem. SE: 283 286, 291 294, 301 304, 305 308, 313 316, 319 322, 323 326, 327 330 TE: 283A 283B, 283 286, 291A 291B, 291 294, 301A 301B, 301 304, 305A 305B, 305 308, 313A 313B, 313 316, 319A 319B, 319 322, 323A 323B, 323 326, 327A 327B, 327 330 PB: P141, P145, P151, P153, P157, P159, P161, P163 8
Multiply and divide within 100. 7. Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 x 5 = 40, one knows 40 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers. SE: 165 168, 169 172, 173 176, 177 180, 183 186, 187 190, 191 194, 195 198, 205 208, 209 212, 221 224, 227 230, 231 234, 235 238, 239 242, 243 246, 261 264, 265 268, 275 278, 287 290, 291 294, 301 304, 305 308, 309 312, 313 316, 319 322, 323 326, 327 330, 331 334, 335 338 TE: 165A 165B, 165 168, 169A 169B, 169 172, 173A 173B, 173 176, 177A 177B, 177 180, 183A 183B, 183 186, 187A 187B, 187 190, 191A 191B, 191 194, 195A 195B, 195 198, 205A 205B, 205 208, 209A 209B, 209 212, 221A 221B, 221 224, 227A 227B, 227 230, 231A 231B, 231 234, 235A 235B, 235 238, 239A 239B, 239 242, 243A 243B, 243 246, 261A 261B, 261 264, 265A 265B, 265 268, 275A 275B, 275 278, 287A 287B, 287 290, 291A 291B, 291 294, 301A 301B, 301 304, 305A 305B, 305 308, 309A 309B, 309 312, 313A 313B, 313 316, 319A 319B, 319 322, 323A 323B, 323 326, 327A 327B, 327 330, 331A 331B, 331 334, 335A 335B, 335 338 PB: P83, P85, P87, P89, P91, P93, P95, P97, P103, P105, P111, P113, P115, P117, P119, P121, P131, P133, P137, P143, P145, P151, P153, P155, P157, P159, P161, P163, P165, P167 9
Solve problems involving the four operations, and identify and explain patterns in arithmetic. 8. Solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding. SE: 183 186, 213 216, 227 230, 331 334 TE: 183A 183B, 183 186, 213A 213B, 213 216, 227A 227B, 227 230, 331A 331B, 331 334 PB: P91, P107, P113, P165 PG: PG100 PG101, PG108 PG109 Mega Math Additional Coverage: Ice Station Exploration: Arctic Algebra, Level I 2012 Edition: 7.10 9. Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. SE: 5 8, 9 12, 173 176, 177 180, 209 212, 221 224, 227 230, 231 234, 239 242, 243 246 TE: 5A 5B, 5 8, 9A 9B, 9 12, 173A 173B, 173 176, 177A 177B, 177 180, 209A 209B, 209 212, 221A 221B, 221 224, 227A 227B, 227 230, 231A 231B, 231 234, 239A 239B 239 242, 243A 243B, 243 246 PB: P3, P5, P87, P89, P105, P111, P113, P115, P119, P121. P303 P304, P315 P316 PG: PG110 PG111, PG122 PG123 2012 Edition: 4.7, 5.1 10
3.NBT Number and Operations in Base Ten Use place value understanding and properties of operations to perform multi-digit arithmetic. 1. Use place value understanding to round whole numbers to the nearest 10 or 100. SE: 31 34, 41 44 TE: 31A 31B, 31 34, 41A 41B, 41 44 PB: P15, P21 2. Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction. SE: 41 44, 45 48, 49 52, 55 58, 59 62, 63 66, 67 70 TE: 41A 41B, 41 44, 45A 45B, 45 48, 49A 49B, 49 52, 55A 55B, 55 58, 59A 59B, 59 62, 63A 63B, 63 66, 67A 67B, 67 70 PB: P21, P23, P25, P27, P29, P31, P33, P287 P288, P289 P190 PG: PG96 PG97, PG98 PG99 2012 Edition: 1.4, 1.5, 1.6, 1.7, 1.9, 1.10, 1.11 3. Multiply one-digit whole numbers by multiples of 10 in the range 10 90 (e.g., 9 x 80, 5 x 60) using strategies based on place value and properties of operations. SE: 177 180 TE: 177A 177B, 177 180 PB: P303 PG: PG110 PG111 Mega Math Additional Coverage: The Numbers Games: Up, Up and Array, Level I 2012 Edition: 5.4, 5.5 11
3.NF Number and Operations Fractions Develop understanding of fractions as numbers. 1. Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b. SE: 347 350, 355 358, 359 362, 365 368 TE: 345E, 345G, 347A 347B, 347 350, 355A 355B, 355 358, 359A 359B, 359 362, 365A 365B, 365 368 PB: P173, P177, P179, P181 PG: PG89 2. Understand a fraction as a number on the number line; represent fractions on a number line diagram. a. Represent a fraction 1/b on a number line diagram by defining the interval from 0 to 1 as the whole and partitioning it into b equal parts. Recognize that each part has size 1/b and that the endpoint of the part based at 0 locates the number 1/b on the number line. SE: 359 362, 365 368, 391 394, 405 406, 414 415 TE: 359A 359B, 359 362, 365A 365B, 365 368, 391A 391B, 391 394, 405 406, 414 415 PB: P179, P181, P195, P201, P205 2012 Edition: 8.5 b. Represent a fraction a/b on a number line diagram by marking off a lengths 1/b from 0. Recognize that the resulting interval has size a/b and that its endpoint locates the number a/b on the number line. SE: 359 362, 365 368, 391 394, 405 406, 414 415 TE: 359A 359B, 359 362, 365A 365B, 365 368, 391 393, 405 406, 414 415 PB: P179, P181, P195, P205 2012 Edition: 8.5 12
3. Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. a. Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line. SE: 409 412, 413 416 TE: 409A 409B, 409 412, 413A 413B, 413 416 PB: P203, P205 Mega Math Additional Coverage: Fraction Action: Number Line Mine, Level E 2012 Edition: 8.5 b. Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3). Explain why the fractions are equivalent, e.g., by using a visual fraction model. c. Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers. SE: 409 412, 413 416 TE: 409A 409B, 409 412, 413A 413B, 413 416 PB: P203, P205 SE: 359 362, 365 368, 413 416 TE: 345E, 359A 359B, 359 362, 365A 365B, 365 368, 413A 413B, 413 416 PB: P179, P181, P205 2012 Edition: 8.9 d. Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model. SE: 387 390, 395 398, 399 402 TE: 387A 387B, 387 390, 395A 395B, 395 398, 399A 399B, 399 402 PB: P193, P197, P199 PG: PG89 13
3.MD Measurement and Data Solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects. 1. Tell and write time to the nearest minute and measure time intervals in minutes. Solve word problems involving addition and subtraction of time intervals in minutes, e.g., by representing the problem on a number line diagram. SE: 81 84, 85 88, 89 92, 93 96 TE: 81A 81B, 81 84, 85A 85B, 85 88, 89A 89B, 89 92, 93A 93B, 93 96 PB: P41, P45, P47 2. Measure and estimate liquid volumes and masses of objects using standard units of grams (g), kilograms (kg), and liters (l). Add, subtract, multiply, or divide to solve one-step word problems involving masses or volumes that are given in the same units, e.g., by using drawings (such as a beaker with a measurement scale) to represent the problem. Represent and interpret data. 3. Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories. Solve oneand two-step how many more and how many less problems using information presented in scaled bar graphs. 4. Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch. Show the data by making a line plot, where the horizontal scale is marked off in appropriate units whole numbers, halves, or quarters. SE: 563 566 TE: 563A 563B, 563 566 PB: P279, P325, P327 PG: PG130 PG131, PG132 PG133 2012 Edition: 10.7, 10.8, 10.9 SE: 137 140, 143 146, 147 150 TE: 137A 137B, 137 140, 143A 143B, 143 146, 147A 147B, 147 150 PB: P69, P71, P73, P74a P74d PG: PG64 PG67 SE: 151 154, 521 524 TE: 151A 151B, 151 154, 521A 521B, 521 524 PB: P75, P257, P259, P260a P260b PG: PG68 PG69 14
Geometric measurement: understand concepts of area and relate area to multiplication and to addition. 5. Recognize area as an attribute of plane figures and understand concepts of area measurement. a. A square with side length 1 unit, called a unit square, is said to have one square unit of area, and can be used to measure area. SE: 547 550 TE: 547A 547B, 547 550 PB: P271 2012 Edition: 11.3, 11.4 b. A plane figure which can be covered without gaps or overlaps by n unit squares is said to have an area of n square units. SE: 547 550 TE: 547A 547B, 547 550 PB: P271 2012 Edition: 11.4 6. Measure areas by counting unit squares (square cm, square m, square in, square ft, and improvised units). SE: 547 550, 551 554 TE: 547A 547B, 547 550, 551A 551B, 551 554 PB: P271, P273 2012 Edition: 11.4 15
7. Relate area to the operations of multiplication and addition. a. Find the area of a rectangle with whole-number side lengths by tiling it, and show that the area is the same as would be found by multiplying the side lengths. SE: 547 550, 551 554 TE: 547A, 547B, 547 550, 551A 551B, 552 554 PB: P273, P274b, P274c, P274d PG: PG74 PG77 b. Multiply side lengths to find areas of rectangles with whole number side lengths in the context of solving real world and mathematical problems, and represent wholenumber products as rectangular areas in mathematical reasoning. c. Use tiling to show in a concrete case that the area of a rectangle with whole-number side lengths a and b + c is the sum of a x b and a x c. Use area models to represent the distributive property in mathematical reasoning. d. Recognize area as additive. Find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping parts, applying this technique to solve real world problems. 2012 Edition: 11.7 SE: 547 550, 551 554 TE: 547A 547B, 547 550, 551A 551B, 551 554 PB: P271, P273, P274a P274d PG: PG74PG77 2012 Edition: 11.7 SE: 217 220 TE: 217A 217B, 217 220 PB: P109, P307 P308 PG: PG114 PG115 2012 Edition: 11.6 TE: 547B 2012 Edition: 11.8 16
Geometric measurement: recognize perimeter as an attribute of plane figures and distinguish between linear and area measures. 8. Solve real world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters. SE: 533 536, 537 540, 541 544, 551 554 TE: 533A 533B, 533 536, 537A 537B, 537 540, 541A 541B, 541 544, 551A 551B, 551 554 PB: P265, P267, P269, P273, P274a P274d PG: PG74 PG77 3.G Geometry Reason with shapes and their attributes. 1. Understand that shapes in different categories (e.g., rhombuses, rectangles, and others) may share attributes (e.g., having four sides), and that the shared attributes can define a larger category (e.g., quadrilaterals). Recognize rhombuses, rectangles, and squares as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to any of these subcategories. SE: 425 428, 433 436, 441 444, 445 448 TE: 425A 425B, 425 428, 433A 433B, 433 436, 441A 441B, 441 444, 445A 445B, 445 448 PB: P211, P215, P219, P221 PG: PG90 PG91 Mega Math Additional Coverage: Ice Station Exploration: Polar Planes, Level G 2012 Edition: 12.2, 12.4, 12.6, 12.7 2. Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole. SE: 347 350, 453, 459 461 TE: 347A 347B, 347 350, 453, 459A 459B, 459 461 2012 Edition: 12.9 17