Prentice Hall: Algebra Correlated to: New York Learning Standards for Mathematics (Algebra 2)

Transcription

1 A2.PS.1 Use a variety of problem solving strategies to understand new mathematical content A2.PS.2 Recognize and understand equivalent representations of a problem situation or a mathematical concept A2.PS.3 Observe and explain patterns to formulate generalizations and conjectures Algebra 2 and Trigonometry Problem Solving Strand Students will build new mathematical knowledge through problem solving. SE/TE: 73 (Example 3, Quick Check 3), 102 (Example 2), 103 (Quick Check 2a), 119 (Example 2, Quick Check 2a), 126 (Example 2, Quick Check 2), 141, 156, 216 (Example 4, Quick Check 4), 240 (Example 4, Quick Check 4a-4b), 247 (Example 4, Quick Check 4), 268 (Example 3, Quick Check 3), 285 (Example 7), 292 (Example 5, Quick Check 5), 314 (Example 3, Quick Check 3), 328 (Example 2, Quick Check 2), 371 (Example 4, Quick Check 4), 392 (Example 3, Quick Check 3), 409 (Example 5, Quick Check 5), 440 (Example 3, Quick Check 3), 456, 462 (Example 4, Quick Check 4), 496 (Example 3, Quick Check 3a), 505 (Example 5), 523 (Example 3, Quick Check 3), 786 (Example 7, Quick Check 7a-7b) SE/TE: 82, 83 (Quick Check 1, Example 2, Quick Check 2a), 67 (Example 7, Quick Check 7, #1-8, 9a, 10a), 68 (#38-50, 66-68), 69 (#71-74, 78, 84), 71 (Examples 1-2, #1-5), 72 (Example 1a, Quick Check 1a), 74 (#1-2, 4-5, 7), 75 (#28, 31), 78, 81 (#1-3), 88-89, 90 (#1-27), 91 (#29-51, 52a, 53-58), 97 (#1-4, 8-14), 98 (#17-37, 40a-40d), 104, 105 (#20-34, 36-42, 44-47), 110 (#19, 22), 111 (#29-31, 36-45, 46a, 46c), , 417 (#1-23, 24a, 25-30), 418 (#37-51, 52a, 53a, 55a, 63a), 430, 439 Students will solve problems that arise in mathematics and in other contexts. SE/TE: 64 (Activity #4), 98 (#40e), 150 (#48b), 190 (#5b-5c), 196 (#36), 205 (#51c), 281 (#10), 306 (Activity #4b), 319 (#64c), 419 (#69b), 454 (Activity #4a), 574 (Activity #2), 611 (#3d, 5), 625 (#3), 720 (Activity #4c), 769 (#73b, 74b), 792 (Activity #3) 1

2 A2.PS.4 Use multiple representations to represent and explain problem situations (e.g., verbally, numerically, algebraically, graphically) SE/TE: 11 (Activity 1 #1a, 1e-1f, Activity 2 #2a, 2c), 64 (Activity #1), 68 (#38-41), 69 (#71-74, 78, 84), 77 (Checkpoint Quiz 1 #9a- 9b), 78, 81 (#1-3), 88, 90 (#1-9), 111 (#46a, 46c), 440 (Example 3), 761 (#44a, 44d), 800 (Example) Students will apply and adapt a variety of appropriate strategies to solve problems. A2.PS.5 Choose an effective approach to solve a problem from a variety of strategies (numeric, graphic, algebraic) SE/TE: 131, 220 (Example, #1), 333, 405, 527 (#57-58, 63), 530, 800 A2.PS.6 Use a variety of strategies to extend solution methods to other problems A2.PS.7 Work in collaboration with others to propose, critique, evaluate, and value alternative approaches to problem solving SE/TE: 125 (Quick Check 1), 126 (Quick Check 2-3), 134 (Quick Check 1-2), 140 (Quick Check 1), 141 (Quick Check 2), 153 (Quick Check 1a-1b), 154 (Quick Check 2), 155 (Quick Check 3), 156 (Quick Check 4), 247 (Quick Check 3-4), 259 (Quick Check 1), 260 (Quick Check 2), 261 (Quick Check 3-5), 267 (Quick Check 1), 283 (Quick Check 3, 4c), 285 (Quick Check 7a), 290 (Quick Check 1, 2a), 291 (Quick Check 3), 321 (Quick Check 1-2), 322 (Quick Check 3), 327 (Quick Check 1), 328 (Quick Check 2-3), 329 (Quick Check 4-5), 751 (Quick Check 3), 766 (Quick Check 6) SE/TE: 6 (TE Example 3, Alternative Method), 40 (TE Example 2, Alternative Method), 65 (TE Example 5, Alternative Method), 73 (TE Example 1, Alternative Method), 102 (TE Example 1, Alternative Method), 127 (TE Example 5, Alternative Method), 154 (TE Example 3, Alternative Method), 200 (TE Example 3, Alternative Method), 247 (TE Example 3, Alternative Method), 253 (TE Example 1, Alternative Method), 261 (TE Example 6, Alternative Method), 266 (TE Example 1, Alternative Method), 276 (TE Example 6, Alternative Method), 328 (TE Example 2, Alternative Method), 336 (TE Example 1, Alternative Method), 346 (TE Example 2, Alternative 2

3 A2.PS.8 Determine information required to solve the problem, choose methods for obtaining the information, and define parameters for acceptable solutions (Continued) Method), 376 (TE Example 5, Alternative Method), 392 (TE Example 1, Alternative Method), 399 (TE Example 3, Alternative Method), 431 (TE Example 1, Alternative Method), 465 (TE Alternative Method, Exercise 53), 473 (TE Alternative Method, Exercises 31-38), 503 (TE Example 3, Alternative Method), 516 (TE Example 5, Alternative Method), 583 (TE Alternative Method, Example 1) Students will monitor and reflect on the process of mathematical problem solving. A2.PS.9 Interpret solutions within the given constraints of a problem A2.PS.10 Evaluate the relative efficiency of different representations and solution methods of a problem SE/TE: 805 (#44) SE/TE: 122 (#37b-37c, 44b-44c, 45), 123 (#55d), 125 (Example 2, Quick Check 2), 128 (#13b, 14, 15b, 16-17), 129 (#42, 61c- 61d), 130 (#62-63), 131, 328 (Example 2, Quick Check 2), 141, 142 (#10b-10c), 143 (#11, 13, 20), 151 (Checkpoint Quiz 2 #2), 156, 157 (#19-21), 158 (#39-40, 43), 159 (#45), 161 (#15), 162 (#22), 163 (#30), 164 (#14, 26, 29-31), 216 (Example 4, Quick Check 4), 218 (#41, 42b), 225 (#32-33), 231 (#46), 233 (#16c) SE/TE: 6 (TE Example 3, Alternative Method), 40 (TE Example 2, Alternative Method), 65 (TE Example 5, Alternative Method), 73 (TE Example 1, Alternative Method), 102 (TE Example 1, Alternative Method), 127 (TE Example 5, Alternative Method), 154 (TE Example 3, Alternative Method), 200 (TE Example 3, Alternative Method), 247 (TE Example 3, Alternative Method), 253 (TE Example 1, Alternative Method), 261 (TE Example 6, Alternative Method), 266 (TE Example 1, Alternative Method), 276 (TE Example 6, Alternative 3

4 A2.RP.1 Support mathematical ideas using a variety of strategies A2.RP.2 Investigate and evaluate conjectures in mathematical terms, using mathematical strategies to reach a conclusion A2.RP.3 Evaluate conjectures and recognize when an estimate or approximation is more appropriate than an exact answer A2.RP.4 Recognize when an approximation is more appropriate than an exact answer (Continued) Method), 328 (TE Example 2, Alternative Method), 336 (TE Example 1, Alternative Method), 346 (TE Example 2, Alternative Method), 376 (TE Example 5, Alternative Method), 392 (TE Example 1, Alternative Method), 399 (TE Example 3, Alternative Method), 431 (TE Example 1, Alternative Method), 465 (TE Alternative Method, Exercise 53), 473 (TE Alternative Method, Exercises 31-38), 503 (TE Example 3, Alternative Method), 516 (TE Example 5, Alternative Method), 583 (TE Alternative Method, Example 1) Reasoning and Proof Strand Students will recognize reasoning and proof as fundamental aspects of mathematics. Students will make and investigate mathematical conjectures. SE/TE: 10 (#90), 87 (#4d), 99 (#52b), 122 (#49), 150 (#49), 179 (#26c), 185 (Quick Check 4b), 188 (#49), 243 (#40), 324 (#34), 332 (#69b), 344 (#31), 378 (#68), 399 (Quick Check 3b), 411 (#60), 413 (#5), 437 (#58), 455 (Quick Check 2b), 458 (#58-69, 71), 474 (#63), 518 (#51), 681 (#22), 768 (#69e), 806 (#45c), 819 (#50b, 52b) SE/TE: 190 (#5b), 454 (Activity #4b), 579 (#48d), 740 (#52c) SE/TE: 190 (#5b), 454 (Activity #4b), 579 (#48d), 740 (#52c) SE/TE: 4 (Activity #3), 9 (#56-63), 87 (Activity 3, #2-3), 172 (#26a), 242 (#31c), 397 (#1-4), 635 (Example 1b), 636 (Quick Check 1a, Example 2, Quick Check 2c), 637 (#6-8), 638 (#9-17, 30b-30d, 31a, 42a- 42b), 640, 643 (#50a-50b, 51a-51b, 52a- 52b, 53a-53b, 54a-54b, 55a-55b), 644 (#35-37), 760 (Quick Check 6a), 761 (#44c), 856 (#40-43), 857 (#51) 4

5 A2.RP.5 Develop, verify, and explain an argument, using appropriate mathematical ideas and language Students will develop and evaluate mathematical arguments and proofs. SE/TE: 10 (#90), 87 (#4d), 99 (#52b), 122 (#49), 150 (#49), 179 (#26c), 185 (Quick Check 4b), 188 (#49), 243 (#40), 324 (#34), 332 (#69b), 344 (#31), 378 (#68), 399 (Quick Check 3b), 411 (#60), 413 (#5), 437 (#58), 455 (Quick Check 2b), 458 (#58-69, 71), 474 (#63), 518 (#51), 681 (#22), 768 (#69e), 806 (#45c), 819 (#50b, 52b) A2.RP.6 Construct logical arguments that verify claims or counterexamples that refute claims A2.RP.7 Present correct mathematical arguments in a variety of forms SE/TE: 9 (#79-83), 10 (#90), 119 (Quick Check 2b), 122 (#49), 150 (#49), 179 (#26c), 188 (#49), 204 (#49-50), 250 (#66a), 273 (#18), 279 (#67d), 325 (#58, 60), 344 (#30-31), 389 (#77, 79-80), 396 (#58), 399 (Quick Check 3b), 492 (#57), 554 (#12), 586 (#28), 723 (#61), 768 (#69e), 806 (#45c), 12 (#49), 818 (#43), 819 (#52b) SE/TE: 23 (#67a), 69 (#82-83), 179 (#26c), 180 (#33-34), 188 (#49), 243 (#40), 324 (#34), 332 (#69b), 378 (#68), 399 (Quick Check 3b), 411 (#60), 413 (#5), 437 (#58), 455 (Quick Check 2b), 458 (#58-69, 71), 474 (#63), 579 (#46a, 48c), 681 (#22), 778 (Check Skills You ll Need #1-4), 782 (#61), 806 (#45c), 812 (#49), 819 (#50b, 52b, 57), 824 (#50), 825 (#57) A2.RP.8 Evaluate written arguments for validity A2.RP.9 Support an argument by using a systematic approach to test more than one case SE/TE: 76 (#54), 82 (#20c), 158 (#42), 204 (#45d), 264 (#70), 332 (#68), 340 (#38), 378 (#57), 383 (#54), 389 (#78), 450 (#50), 457 (#42), 466 (#64), 512 (#23), 528 (Activity 2 #4), 536 (#47), 565 (#54), 572 (#48), 608 (#43), 630 (#44a), 665 (#18), 673 (#27), 731 (#46), 788 (#56), 789 (#57) Students will select and use various types of reasoning and methods of proof. SE/TE: 373 (#56, 58-61), 378 (#59) 5

6 A2.RP.10 Devise ways to verify results, using counterexamples and informal indirect proof A2.RP.11 Extend specific results to more general cases A2.RP.12 Apply inductive reasoning in making and supporting mathematical conjectures Communication Strand A2.CM.1 Communicate verbally and in writing a correct, complete, coherent, and clear design (outline) and explanation for the steps used in solving a problem A2.CM.2 Use mathematical representations to communicate with appropriate accuracy, including numerical tables, formulas, functions, equations, charts, graphs, and diagrams SE/TE: 9 (#79-83), 20 (Examples 5-6), 21 (#1-16), 223 (Example 5), 224 (Example 6, Quick Check 6), 396 (#58), 818 (#43), 819 (#52b) SE/TE: 11 (Activity 1 #1b-1f), 98 (#40e), 252 (Activity #2b), 273 (#17), 454 (Activity #3) SE/TE: 64 (Activity #4), 150 (#48b), 190 (#5b-5c), 205 (#51c), 281 (#10), 306 (Activity #4b), 319 (#64c), 419 (#69b), 454 (Activity #4a), 574 (Activity #2), 611 (#3d, 5), 625 (#3), 720 (Activity #4c), 769 (#73b, 74b), 792 (Activity #3) Students will organize and consolidate their mathematical thinking through communication. SE/TE: 17 (#66), 31 (#61), 38 (#72), 45 (#51), 70 (#89), 123 (#60), 150 (#57), 189 (#59), 219 (#48), 265 (#83), 271 (#57), 287 (#68), 295 (#80), 344 (#39), 357 (#74), 379 (#75), 445 (#55), 459 (#94), 513 (#46-47), 559 (#56), 573 (#72), 579 (#52), 610 (#91-92), 617 (#70), 797 (#46) SE/TE: 76 (#53), 92 (#66), 100 (#57), 106 (#53), 188 (#49), 198 (#50b), 243 (#48), 325 (#60), 331 (#60), 357 (#74), 362 (#44), 368 (#25), 499 (#39), 512 (#25), 518 (#42), 551 (#34b), 579 (#48d), 644 (#29), 669 (Quick Check 1b-1c), 723 (#61) Students will communicate their mathematical thinking coherently and clearly to peers, teachers, and others. A2.CM.3 Present organized mathematical SE/TE: 10 (#90), 87 (#4d), 99 (#52b), 122 ideas with the use of appropriate standard (#49), 150 (#49), 179 (#26c), 185 (Quick notations, including the use of symbols and Check 4b), 188 (#49), 243 (#40), 324 other representations when sharing an idea in (#34), 332 (#69b), 344 (#31), 378 (#68), verbal and written form 399 (Quick Check 3b), 411 (#60), 413 (#5), 437 (#58), 455 (Quick Check 2b), 458 (#58-69, 71), 474 (#63), 518 (#51), 681 (#22), 768 (#69e), 806 (#45c), 819 (#50b, 52b) 6

7 A2.CM.4 Explain relationships among different representations of a problem A2.CM.5 Communicate logical arguments clearly, showing why a result makes sense and why the reasoning is valid SE/TE: 82, 83 (Quick Check 1, Example 2, Quick Check 2a), 67 (Example 7, Quick Check 7, #1-8, 9a, 10a), 68 (#38-50, 66-68), 69 (#71-74, 78, 84), 71 (Examples 1-2, #1-5), 72 (Example 1a, Quick Check 1a), 74 (#1-2, 4-5, 7), 75 (#28, 31), 78, 81 (#1-3), 88-89, 90 (#1-27), 91 (#29-51, 52a, 53-58), 97 (#1-4, 8-14), 98 (#17-37, 40a-40d), 104, 105 (#20-34, 36-42, 44-47), 110 (#19, 22), 111 (#29-31, 36-45, 46a, 46c), , 417 (#1-23, 24a, 25-30), 418 (#37-51, 52a, 53a, 55a, 63a), 430, 439 SE/TE: 10 (#90), 87 (#4d), 99 (#52b), 122 (#49), 150 (#49), 179 (#26c), 185 (Quick Check 4b), 188 (#49), 243 (#40), 324 (#34), 332 (#69b), 344 (#31), 378 (#68), 399 (Quick Check 3b), 411 (#60), 413 (#5), 437 (#58), 455 (Quick Check 2b), 458 (#58-69, 71), 474 (#63), 518 (#51), 681 (#22), 768 (#69e), 806 (#45c), 819 (#50b, 52b) A2.CM.6 Support or reject arguments or questions raised by others about the correctness of mathematical work SE/TE: 76 (#54), 82 (#20c), 158 (#42), 204 (#45d), 264 (#70), 332 (#68), 340 (#38), 378 (#57), 383 (#54), 389 (#78), 450 (#50), 457 (#42), 466 (#64), 512 (#23), 528 (Activity 2 #4), 536 (#47), 565 (#54), 572 (#48), 608 (#43), 630 (#44a), 665 (#18), 673 (#27), 731 (#46), 788 (#56), 789 (#57) 7

8 others. A2.CM.7 Read and listen for logical understanding of mathematical thinking shared by other students Students will analyze and evaluate the mathematical thinking and strategies of SE/TE: 76 (#54), 82 (#20c), 158 (#42), 204 (#45d), 264 (#70), 332 (#68), 340 (#38), 378 (#57), 383 (#54), 389 (#78), 450 (#50), 457 (#42), 466 (#64), 512 (#23), 528 (Activity 2 #4), 536 (#47), 565 (#54), 572 (#48), 608 (#43), 630 (#44a), 665 (#18), 673 (#27), 731 (#46), 788 (#56), 789 (#57) A2.CM.8 Reflect on strategies of others in relation to one s own strategy A2.CM.9 Formulate mathematical questions that elicit, extend, or challenge strategies, solutions, and/or conjectures of others SE/TE: 76 (#54), 82 (#20c), 158 (#42), 204 (#45d), 264 (#70), 332 (#68), 340 (#38), 378 (#57), 383 (#54), 389 (#78), 450 (#50), 457 (#42), 466 (#64), 512 (#23), 528 (Activity 2 #4), 536 (#47), 565 (#54), 572 (#48), 608 (#43), 630 (#44a), 665 (#18), 673 (#27), 731 (#46), 788 (#56), 789 (#57) SE/TE: 76 (#54), 82 (#20c), 158 (#42), 204 (#45d), 264 (#70), 332 (#68), 340 (#38), 378 (#57), 383 (#54), 389 (#78), 450 (#50), 457 (#42), 466 (#64), 512 (#23), 528 (Activity 2 #4), 536 (#47), 565 (#54), 572 (#48), 608 (#43), 630 (#44a), 665 (#18), 673 (#27), 731 (#46), 788 (#56), 789 (#57) 8

9 precisely. A2.CM.10 Use correct mathematical language in developing mathematical questions that elicit, extend, or challenge other students conjectures A2.CM.11 Represent word problems using standard mathematical notation A2.CM.12 Understand and use appropriate language, representations, and terminology when describing objects, relationships, mathematical solutions, and rationale A2.CM.13 Draw conclusions about mathematical ideas through decoding, comprehension, and interpretation of mathematical visuals, symbols, and technical writing Students will use the language of mathematics to express mathematical ideas SE/TE: 76 (#54), 82 (#20c), 158 (#42), 204 (#45d), 264 (#70), 332 (#68), 340 (#38), 378 (#57), 383 (#54), 389 (#78), 450 (#50), 457 (#42), 466 (#64), 512 (#23), 528 (Activity 2 #4), 536 (#47), 565 (#54), 572 (#48), 608 (#43), 630 (#44a), 665 (#18), 673 (#27), 731 (#46), 788 (#56), 789 (#57) SE/TE: 20, 21 (Example 7, Quick Check 7), 22 (#29-35, 48-52), 22 (#53-54, 66a, 68, 70-72), 24 (Checkpoint Quiz 1 #10), 28 (Example 3, Quick Check 3), 29 (Example 6, Quick Check 6, #14-17), 30 (#26-28, 38), 48 (#38-40), 50 (#21-22), 126 (Example 2, Quick Check 2), 128 (#13a, 14, 15a, 16-17), 129 (#42, 61a), 130 (#62, 81), 131, 133, 135 (Example 3, Quick Check 3), 136 (#16-17), 137 (#40a), 138 (Checkpoint Quiz 1 #5-6, 7a), 141, 142 (#10a), 143 (#11, 13, 20-21), 156, 157 (#19-21) SE/TE: 10 (#90), 17 (#67c-67d, 75), 37 (#56), 45 (#49-50), 60 (#48-49), 61 (#58), 76 (#64), 83 (#21e, 26d, 27c), 91 (#52b), 99 (#52b-52c), 105 (#43), 118 (Activity #2b), 122 (#37c, 44c, 49-50, 54), 153 (Quick Check 1c), 159 (#49), 169 (Quick Check 3c), 188 (#49), 189 (#60), 198 (#54d), 210 (#32), 242 (#38c), 243 (#40-41), 250 (#66b), 257 (#58, 77, 78b), 279 (#67b-67d), 373 (#57, 74) SE/TE: 61 (#58), 76 (#64), 87 (#4d), 188 (#49), 191 (Activity #7), 242 (#38c), 244 (Example, #1-2), 324 (#34), 344 (#31), 373 (#56), 411 (#60), 413 (#5), 418 (#53d), 554 (#12), 571 (#43b), 665 (#13c, 19c), 666 (#21b, 22b), 668 (Activity #6a), 669 (Quick Check 1b-1c), 671 (Quick Check 4b), 673 (#18-19, 26), 674 (#29b), 682 (#31), 689 (#22b), 690 (#27) 9

10 Connections Strand Students will recognize and use connections among mathematical ideas. A2.CN.1 Understand and make connections among multiple representations of the same mathematical idea SE/TE: 82, 83 (Quick Check 1, Example 2, Quick Check 2a), 67 (Example 7, Quick Check 7, #1-8, 9a, 10a), 68 (#38-50, 66-68), 69 (#71-74, 78, 84), 71 (Examples 1-2, #1-5), 72 (Example 1a, Quick Check 1a), 74 (#1-2, 4-5, 7), 75 (#28, 31), 78, 81 (#1-3), 88-89, 90 (#1-27), 91 (#29-51, 52a, 53-58), 97 (#1-4, 8-14), 98 (#17-37, 40a-40d), 104, 105 (#20-34, 36-42, 44-47), 110 (#19, 22), 111 (#29-31, 36-45, 46a, 46c), , 417 (#1-23, 24a, 25-30), 418 (#37-51, 52a, 53a, 55a, 63a), 430, 439 A2.CN.2 Understand the corresponding procedures for similar problems or mathematical concepts A2.CN.3 Model situations mathematically, using representations to draw conclusions and formulate new situations SE/TE: 125 (Quick Check 1), 126 (Quick Check 2-3), 134 (Quick Check 1-2), 140 (Quick Check 1), 141 (Quick Check 2), 153 (Quick Check 1a-1b), 154 (Quick Check 2), 155 (Quick Check 3), 156 (Quick Check 4), 247 (Quick Check 3-4), 259 (Quick Check 1), 260 (Quick Check 2), 261 (Quick Check 3-5), 267 (Quick Check 1), 283 (Quick Check 3, 4c), 285 (Quick Check 7a), 290 (Quick Check 1, 2a), 291 (Quick Check 3), 321 (Quick Check 1-2), 322 (Quick Check 3), 327 (Quick Check 1), 328 (Quick Check 2-3), 329 (Quick Check 4-5), 751 (Quick Check 3), 766 (Quick Check 6) Students will understand how mathematical ideas interconnect and build on one another to produce a coherent whole. SE/TE: 20, 21 (Example 7, Quick Check 7), 22 (#29-35, 48-52), 23 (#53-54, 66a, 68, 70-72), 78, 79 (Examples 2-3, Quick Check 3), 81 (#2, 4-7, 12a-12b, 13a-13b), 82 (#14, 19-20), 83 (#21, 23-27), 84 (#33-34), 110 (#26), 111 (#27-28, 46), 112 (#31a-31c), 119 (Example 2, Quick Check 2), 121 (#10-12), 122 (#37, 44-45), 123 (#55), 126 (Example 2, Quick Check 2), 128 (#13-17), 129 (#42, 61), 131, 135 (Example 3, Quick Check 3), 240 (Example 4, Quick Check 4a- 4b), 241 (#21-22), 242 (#30-31, 38) 10

11 A2.CN.4 Understand how concepts, procedures, and mathematical results in one area of mathematics can be used to solve problems in other areas of mathematics SE/TE: 14 (Example 5, Quick Check 5), 15 (#36-37), 20, 22 (#31-34, 48-49), 30 (#36), 38 (Checkpoint Quiz 2 #10), 48 (#38, 40), 60 (#46), 73 (Quick Check 3), 76 (#59a), 83 (#28), 100 (#64), 128 (#17), 137 (#49-51), 158 (#43), 159 (#45), 218 (#36-37), 227 (#45), 242 (#30), 295 (#67), 311 (#60), 317 (#37), 318 (#39), 324 (#25), 330 (#11) A2.CN.5 Understand how quantitative models connect to various physical models and representations SE/TE: 260 (Example 2), 264 (#46, 49), 281, 317 (#37) Students will recognize and apply mathematics in contexts outside of mathematics. A2.CN.6 Recognize and apply mathematics to situations in the outside world A2.CN.7 Recognize and apply mathematical ideas to problem situations that develop outside of mathematics A2.CN.8 Develop an appreciation for the historical development of mathematics SE/TE: 104 (#10), 119 (Example 2, Quick Check 2), 121 (#10-12), 126 (Example 2, Quick Check 2), 128 (#13-16), 129 (#42, 61), 131, 135 (Example 3, Quick Check 3), 136 (#16-17), 137 (#40), 138 (Checkpoint Quiz 1 #5-7), 141, 142 (#10), 156, 157 (#19-21), 217 (#16), 218 (#41-42), 225 (#32-33), 226 (#38-39, 44), 270 (#19, 32-33), 292 (Example 5, Quick Check 5), 294 (#56), 317 (#15), 330 (#10), 372 (#38) SE/TE: 104 (#10), 119 (Example 2, Quick Check 2), 121 (#10-12), 126 (Example 2, Quick Check 2), 128 (#13-16), 129 (#42, 61), 131, 135 (Example 3, Quick Check 3), 136 (#16-17), 137 (#40), 138 (Checkpoint Quiz 1 #5-7), 141, 142 (#10), 156, 157 (#19-21), 217 (#16), 218 (#41-42), 225 (#32-33), 226 (#38-39, 44), 270 (#19, 32-33), 292 (Example 5, Quick Check 5), 294 (#56), 317 (#15), 330 (#10), 372 (#38) SE/TE: 341, 353, 814 (Real World Connection) 11

12 Representation Strand A2.R.1 Use physical objects, diagrams, charts, tables, graphs, symbols, equations, or objects created using technology as representations of mathematical concepts A2.R.2 Recognize, compare, and use an array of representational forms Students will create and use representations to organize, record, and communicate mathematical ideas. SE/TE: 20, 21 (Example 7, Quick Check 7), 22 (#29-35, 48-52), 27 (Example 1, Quick Check 1, Example 2, Quick Check 2a-2b), 28-29, 35, 37 (#44-55, 58-60, 64-66), 48 (#38-40), 49 (#41-47, 51-54), 50 (#21-31), 52 (#16-21), 62, 63 (Quick Check 1, Example 2, Quick Check 2a), 67 (Example 7, Quick Check 7, #1-8, 9a, 10a), 88-89, 90 (Example 4, Quick Check 4a, #1-28), 91 (#33-51, 52a, 53-58), 94, 95 (Quick Check 2), 97 (#1-14), 98 (#17-37, 40a-40d), 103 (Quick Check 2b, Example 3, Quick Check 3), 104, 105 (#20-42, 44-47), 119 (Example 1, Quick Check 1, Example 2) SE/TE: 20, 21 (Example 7, Quick Check 7), 22 (#29-35, 48-52), 27 (Example 1, Quick Check 1, Example 2, Quick Check 2a-2b), 28-29, 35, 37 (#44-55, 58-60, 64-66), 48 (#38-40), 49 (#41-47, 51-54), 50 (#21-31), 52 (#16-21), 62, 63 (Quick Check 1, Example 2, Quick Check 2a), 67 (Example 7, Quick Check 7, #1-8, 9a, 10a), 88-89, 90 (Example 4, Quick Check 4a, #1-28), 91 (#33-58), 94, 95 (Quick Check 2), 97 (#1-14), 98 (#17-37, 40a-40d), 103 (Quick Check 2b, Example 3, Quick Check 3), 104, 105 (#20-42, 44-47), 119 (Example 1, Quick Check 1, Example 2) A2.R.3 Use representation as a tool for exploring and understanding mathematical ideas SE/TE: 11 (Activity 1 #1a, 1e-1f, Activity 2 #2a, 2c, 3), 25 (Activity, #1-2), 64 (Activity #1), 93 (Activity #1-7), 101 (Activity #1, 2a), 118 (Activity #1, 3), 139 (Activity #1-2), 184 (#3a-3b), 191 (Activity #1-2), 252 (Activity #2a), 454 (Activity #1), 528 (Activity 1 #3), 529 (Activity 3 #8-10), 574 (Activity #2), 582 (Activity #1-3), 600 (Activity #3), 612 (Activity #3, 4b-4c), 668 (Activity #1-4, 6), 685 (Activity #2b), 710 (Activity #2), 778 (Activity #1-2), 792 (Activity #1) 12

13 A2.R.4 Select appropriate representations to solve problem situations A2.R.5 Investigate relationships among different representations and their impact on a given problem A2.R.6 Use mathematics to show and understand physical phenomena (e.g., investigate sound waves using the sine and cosine functions) Students will select, apply, and translate among mathematical representations to solve problems. A2.R.7 Use mathematics to show and understand social phenomena (e.g., interpret the results of an opinion poll) SE/TE: 20, 21 (Example 7, Quick Check 7), 22 (#29-35, 48-52), 23 (#53-54, 66a, 66c, 68, 70-72), 24 (Checkpoint Quiz 1 #10), 28 (Example 3, Quick Check 3), 29 (Example 6, Quick Check 6, #14-17), 30 (#26-28, 36, 38), 38 (Checkpoint Quiz 2 #9-10), 48 (#38-40), 49 (#46, 54), 50 (#21-22), 119 (Example 2, Quick Check 2a), 121 (#10-12), 122 (#37, 44-45), 123 (#55), 126 (Example 2, Quick Check 2), 128 (#13-17), 129 (#42, 61), 130 (#62), 131, 141, 142 (#10), 143 (#11, 13, 20), 151 (Checkpoint Quiz 2 #2) SE/TE: 269, 270 (#20-31), 394 (Activity), 406 (Activity #3b) Students will use representations to model and interpret physical, social, and mathematical phenomena. SE/TE: 738 (Example 7, Quick Check 7), 740 (#43, 52-55), 741 (#59), 745 (Examples 3-4), 747 (#35-36), 748 (#38), 751 (Example 3, Quick Check 3), 752 (#30), 753 (#42-43), 766 (Example 6, Quick Check 6), 767 (#41), 768 (#59), 782 (#61), 786 (Example 7, Quick Check 7a-7b), 787 (#34), 788 (#44), 790 (#74), 793 (Example 1, Quick Check 1), 794 (Example 3, Quick Check 3), 795 (Example 5), 796 (#1, 8), 797 (#24, 34, 42, 44), 798 (#48, 54), (Example 4) SE/TE: 347 (Example 5, Quick Check 5), 348 (#18-20, 29, 31), 350 (#73), 400 (Example 4, Quick Check 4), 431, 434 (#9), 435 (#42), 464 (#24), 465 (#50, 52, 61-62), 649 (Example 2, Quick Check 2), 650 (Example 5), 651 (Quick Check 5, #3-5), 652 (#10), 655 (Example 3), 656 (#1-8), 657 (#9-11, 14-18, 23), 666 (#22), 678 (Example 2, Quick Check 2), 679 (Example 4, Quick Check 4), 680 (#2, 7), 681 (#15-18), 682 (#31), 689 (#18-20) 13

14 A2.R.8 Use mathematics to show and understand mathematical phenomena (e.g., use random number generator to simulate a coin toss) SE/TE: , , , , 370, , , 385, 387, 388 (Example 5, Quick Check 5, #1-25, 30-37), 408, 410 (#1-28, 30-43), 413, , 416 (Example 3, Quick Check 3, Example 4, Quick Check 4), 417 (Example 6, Quick Check 6, #1-23, 25-36), , 430, 439, 755, , , 786 (Example 6, Quick Check 6), 787 (#1-33), Number Sense and Operations Strand Students will understand meanings of operations and procedures, and how they relate to one another. Operations A2.N.1 Evaluate numerical expressions with negative and/or fractional exponents, without the aid of a calculator (when the answers are rational numbers) SE/TE: 385, 387 (Example 4a, Quick Check 4), 388 (#1-9, 30-34), 389 (#50-51, 58-61), 396 (#65-74) A2.N.2 Perform arithmetic operations (addition, subtraction, multiplication, division) with expressions containing irrational numbers in radical form A2.N.3 Perform arithmetic operations with polynomial expressions containing rational coefficients SE/TE: 374 (Example 1a-1b, Quick Check 1a- 1b), 276 (Example 4a, Quick Check 4a), 377 (#1-4, 6-8, 17, 23), 378 (#36-38, 40-43, 53-54, 56), 379 (#69, 71), 380 (Example 1b, Quick Check 1a), 381, 382 (#1-3, 7-22), 383 (#27-28, 30, 32-36, 39-42, 45, 48, 51-52), 384 (#57-58, 60-63, 65-66, Checkpoint Quiz 1 #5, 7, 9-10), 390 (#97-102), 424 (#22-23, 28, 33), 426 (#9-14), 848 (#10, 15-16, 18-20) SE/TE: 310 (#33-58), 311 (#65-67), 313, 317 (#1-6), 320 (Check Skills You ll Need #1-4), 321 (Example 1, Quick Check 1), 322, 323 (Quick Check 4a), 324 (#1-8, 13-25), 325 (#37-41, 52-55, 56a-56c, 57a-57c), 326 (Checkpoint Quiz 1 #8-9), 332 (#76-77), 335 (Check Skills You ll Need #5), 362 (#22-25), 366 (#1-3), 379 (#84-87), 881 (Example 1, #1-6) 14

15 A2.N.4 Perform arithmetic operations on irrational expressions A2.N.5 Rationalize a denominator containing a radical expression A2.N.6 Write square roots of negative numbers in terms of i SE/TE: 374 (Example 1a-1b, Quick Check 1a- 1b), 276 (Example 4a, Quick Check 4a), 377 (#1-4, 6-8, 17, 23), 378 (#36-38, 40-43, 53-54, 56), 379 (#69, 71), 380 (Example 1b, Quick Check 1a), 381, 382 (#1-3, 7-22), 383 (#27-28, 30, 32-36, 39-42, 45, 48, 51-52), 384 (#57-58, 60-63, 65-66, Checkpoint Quiz 1 #5, 7, 9-10), 390 (#97-102), 424 (#22-23, 28, 33), 426 (#9-14), 848 (#10, 15-16, 18-20) SE/TE: 376 (Example 5, Quick Check 5), 377 (Example 6, Quick Check 6, #27-35), 378 (#36, 46-54, 66), 379 (#70-71, 75), 382 (Example 6, Quick Check 6, #23-26), 383 (#39-44), 384 (#59, Checkpoint Quiz 1 #8, 10), 380 (# ), 419 (#83-86), 424 (#33-37, 42-43), 426 (#7-8, 13-14) SE/TE: 274 (Example 1, Quick Check 1a- 1c), 275 (Example 2, Quick Check 2), 277 (Example 7, Quick Check 7), 278 (#1-18, 41-46, 50-52), 280 (#76, 78, 80, Checkpoint Quiz 2 #6), 282 (Check Skills You ll Need #6), 283 (Example 4, Quick Check 4c), 284 (Quick Check 5b), 285 (#15-16, 18-20, 22, 24, 26), 287 (#66), 290 (Example 2, Quick Check 2a), 293 (#13-21), 294 (#45, 49), 295 (#78), 301 (#39-43, 55-58, 62-64), 302 (#8-9, 29-30, 32), 844 (#41-46, 50, 52-53) A2.N.7 Simplify powers of i SE/TE: 276 (Example 6, Quick Check 6), 277 (Example 8, Quick Check 8), 278 (#35-40, 47-49), 279 (#57-66), 280 (#77), 287 (#71), 301 (#48, 50, 59-60), 302 (#11, 13), 844 (#47-48) A2.N.8 Determine the conjugate of a complex number A2.N.9 Perform arithmetic operations on complex numbers and write the answer in the form a + bi Note: This includes simplifying expressions with complex denominators. SE/TE: 338 (Example 4, Quick Check 4a), 339 (#16-18), 351 (Checkpoint Quiz 2 #6a) SE/TE: 276 (Example 5, Quick Check 5, Example 6, Quick Check 6), 278 (#29-40), 279 (#57-66, 67a), 287 (#69-71), 301 (#47-50), 302 (#10-13), 844 (#35-40) 15

16 A2.N.10 Know and apply sigma notation A2.A.1 Solve absolute value equations and inequalities involving linear expressions in one variable SE/TE: 621, 622 (#13-24), 623 (#42c-42d), 624 (#49-53, 55-56), 627 (Example 3b), 629 (#32-37), 630 (#45-47), 631 (#54-55, Checkpoint Quiz 2 #7-8), 634 (Activity 2, Exercises #4-6), 636 (Example 2), 638 (#42), 639 (#49), 642 (#34-37), 643 (#38-40, 50-55), 644 (#25-28), 856 (#22-29, 40-43) Algebra Strand Students will represent and analyze algebraically a wide variety of problem solving situations. Equations and Inequalities SE/TE: 33, 34 (Example 2, Quick Check 2, Example 3, Quick Check 3a-3b), 35, 36 (#1-27), 37 (#34-53, 61-63), 38 (#67-72, Checkpoint Quiz 2 #5-8), 45 (#52-63), 49 (#48-53), 50 (#28-31), 836 (#42-53) A2.A.2 Use the discriminant to determine the nature of the roots of a quadratic equation SE/TE: 292 (Example 4, Quick Check 4), 293 (#31-39), 294 (#57-62, 66), 295 (#77), 301 (#70-72), 302 (#37-40), 844 (#58-65) A2.A.3 Solve systems of equations involving one linear equation and one quadratic equation algebraically Note: This includes rational equations that result in linear equations with extraneous roots. A2.A.4 Solve quadratic inequalities in one and two variables, algebraically and graphically A2.A.5 Use direct and inverse variation to solve for unknown values SE/TE: , SE/TE: 297 (Activity 2 #8, 10, Exercises #17-20) SE/TE: 73 (Example 3b, Quick Check 3b), 74 (Example 4, Quick Check 4, #17-22), 75 (#23c, 24-27, 41-45), 76 (#52b-52c, 61-62), 84 (#35-38), 110 (#23-25), 112 (#24-25), 113 (#17), 486 (#7-10), 488 (Check Skills You ll Need #1-3), 489 (Example 3, Quick Check 3), 491 (#13-15, 24-27, 28b), 492 (#35, 49-51, 52b, 53), 493 (#61), 539 (#6-8, 12-14), 853 (#44-46) 16

17 A2.A.6 Solve an application which results in an exponential function Students will perform algebraic procedures accurately. Variables and Expressions A2.A.7 Factor polynomial expressions completely, using any combination of the following techniques: common factor extraction, difference of two perfect squares, quadratic trinomials A2.A.8 Apply the rules of exponents to simplify expressions involving negative and/or fractional exponents A2.A.9 Rewrite algebraic expressions that contain negative exponents using only positive exponents SE/TE: 431 (Example 2, Quick Check 2c), 434 (#9b), 435 (#35a), 436 (#44a, 45a, 54), 437 (#59b), 440 (Example 3, Quick Check 3), 442 (#15-17), 444 (#48a, 50b), 445 (Checkpoint Quiz 1 #10), 476 (Activity 1 #1a, 2, Activity 2 #5-6, 7a), 479 (#14-15), 851 (#70) SE/TE: , 265 (#72-74, 81-82, 84b), 267 (Check Skills You ll Need #1-3), 272 (#78-80), 280 (Checkpoint Quiz 2 #1-3), 313 (Check Skills You ll Need #1-3), 314 (Example 2, Quick Check 2), 317 (#7-12), 319 (#65), 327 (Check Skills You ll Need #4-6), 452 (# ), 509 (Check Skills You ll Need #1-4), 844 (#15-25), 881 (Examples 2-3, #7-18) SE/TE: 366 (#5-8), 385, 387, 388 (Example 5, Quick Check 5, #1-9, 30-33), 389 (#38-61, 65-78), 390 (#91-92), 396 (#65-74), 404 (Checkpoint Quiz 2 #1-2), 424 (#49-53), 426 (#15-17), 461 (Check Skills You ll Need #4), 848 (#21-28), 880 (#24, 26, 28-30, 32) SE/TE: 366 (#6-8), 880 (Example 2, #5-8) A2.A.10 Rewrite algebraic expressions with fractional exponents as radical expressions A2.A.11 Rewrite algebraic expressions in radical form as expressions with fractional exponents A2.A.12 Evaluate exponential expressions, including those with base e SE/TE: 386 (Example 2a, Quick Check 2a), 388 (#10-15), 424 (#44-46), 452 (# ) SE/TE: 386 (Example 2b, Quick Check 2b), 388 (#18-25), 390 (#88-89) SE/TE: 430 (Check Skills You ll Need #1-6), 442 (#18-23) 17

18 A2.A.13 Simplify radical expressions SE/TE: 274 (Example 1, Quick Check 1a- 1c), 278 (#1-10), 282 (Check Skills You ll Need #5-7), 370 (Example 2, Quick Check 2), 371 (Example 3, Quick Check 3), 372 (#13-28, 39-54), 373 (#62-69, 71-72), 375 (Example 2, Quick Check 2), 377 (#9-26), 378 (#36-54, 61-66), 379 (#69, 71, 76-83), 381 (Example 3, Quick Check 3), 382 (#7-12, 23-26), 383 (#27-44), 384 (#63-70, Checkpoint Quiz 1 #1-10), 390 (#97-102), 404 (# ), 412 (#80-81, 83-87), 424 (#16-37), 426 (#1-14), 437 (#68), 848 (#1-20) A2.A.14 Perform addition, subtraction, multiplication, and division of radical expressions A2.A.15 Rationalize denominators involving algebraic radical expressions A2.A.16 Perform arithmetic operations with rational expressions and rename to lowest terms SE/TE: 374 (Example 1, Quick Check 1a- 1b), 375 (Example 3, Quick Check 3), 376 (Example 4, Quick Check 4), 377 (#437 (#69-70), 378 (#37-52, 56), 379 (#69), 380 (Example 1, Quick Check 1), 381, 382 (#1-2, 4, 6-22), 383 (#27-45, 48, 50-52), 384 (#57-58, 60-70, Checkpoint Quiz 1 #5-10), 390 (#97-102), 424 (#22-43), 426 (#5-14), 445 (#62-69), 848 (#9-20) SE/TE: 376 (Example 5, Quick Check 5), 377 (Example 6, Quick Check 6, #27-35), 378 (#36, 46-54, 66), 379 (#70-71, 75), 382 (Example 6, Quick Check 6, #23-26), 383 (#39-44), 384 (#59, 65-66, 69-70, Checkpoint Quiz 1 #8, 10), 390 (# ), 419 (#83-86), 424 (#33-37, 42-43), 426 (#7-8, 13-14) SE/TE: 510 (Example 3, Quick Check 3), 511 (Example 4, Quick Check 4, #7-18), 512 (#22, 26a-26b, 27-32, 36), 513 (#44, 47), 515 (Example 3), 516 (Quick Check 3, Example 4, Quick Check 4), 517 (#10-15), 518 (#16-21, 31-40), 519 (#57), 520 (#58, 62-67, Checkpoint Quiz 2 #1-8), 527 (#65-67), 540 (#30-31), 541 (#34-35), 542 (#18, 22-24), 852 (#24-27, 29-34) 18

19 A2.A.17 Simplify complex fractional expressions SE/TE: 513 (#39-42), 516 (Example 5), 517 (Quick Check 5), 518 (#22-30, 40, 44-49), 519 (#54a, 55a), 520 (#59, Checkpoint Quiz 2 #9-10), 541 (#36-37), 542 (#25-26) A2.A.18 Evaluate logarithmic expressions in any base A2.A.19 Apply the properties of logarithms to rewrite logarithmic expressions in equivalent forms Equations and Inequalities A2.A.20 Determine the sum and product of the roots of a quadratic equation by examining its coefficients SE/TE: 447 (Example 3, Quick Check 3), 450 (#14-25, 41-48), 452 (#96), 454 (Check Skills You ll Need #1-3), 457 (#33-41), 458 (#44-55), 459 (#94), 461 (Check Skills You ll Need #1-3), 463 (Example 5, Quick Check 5a), 464 (#25-32), 468 (Checkpoint Quiz 2 #9), 470 (Check Skills You ll Need #1-5), 480 (#36-39), 482 (#14-19, 28-31), 483 (#15) SE/TE: 455, 457 (#11-30, 42-43), 458 (#73-87), 459 (#91-93, 95), 463 (Example 5, Quick Check 5a), 464 (#25-32), 466 (#68-75), 468 (# , Checkpoint Quiz 2 #3-5, 10), 470 (Example 1, Quick Check 1), 472 (#1-9), 473 (#31-38), 474 (#67), 481 (#44-51, 65), 482 (#24-27, 37-39), 483 (#2, 16), 850 (#41-52) SE/TE: , 262 (Example 6, Quick Check 6), 263 (#7-30), 264 (#31-36, 47-48, 50, 55-65, 68-70), 267 (Check Skills You ll Need #1), 272 (#78), 280 (Checkpoint Quiz 2 #1, 3), 844 (#15-16, 18-22, 24-25) A2.A.21 Determine the quadratic equation, given the sum and product of its roots A2.A.22 Solve radical equations SE/TE: 273 (Activity 2 #14) SE/TE: , 393 (Example 4, Quick Check 4-5), 394 (Technology Activity #1a, #1-6, 13-15, 17-18), 395 (#21, 24-26, 34-50), 396 (#53-56, 59, 61-64), 404 (#95-100, Checkpoint Quiz 2 #5), 416 (Example 5, Quick Check 5), 417 (#25-30), 425 (#54-56), 426 (#18-21), 848 (#29-34) 19

20 A2.A.23 Solve rational equations and inequalities A2.A.24 Know and apply the technique of completing the square A2.A.25 Solve quadratic equations, using the quadratic formula A2.A.26 Find the solution to polynomial equations of higher degree that can be solved using factoring and/or the quadratic formula A2.A.27 Solve exponential equations with and without common bases SE/TE: , 525 (#10-25, 32-33, 34b, 35b), 526 (#36d, 38a, 39-54, 55d), 527 (#57-60, 62-64), 528 (Activity 2 #7), 529 (#11-13, 16, 17b), 530, 537 (#59-61), 538 (#1), 541 (#38-41), 542 (#27-33), 852 (#35-40), 853 (#49-51) SE/TE: 281, 282 (Example 2, Quick Check 2), 283 (Example 3, Quick Check 3, Example 4, Quick Check 4c), 284 (Example 5, Quick Check 5), 285 (Example 7, Quick Check 7a, #7-27), 286 (#34-36, 37a, 38, 39a), 287 (#51-68), 288 (Example), 295 (#81-83), 301 (#61-69), 844 (#49-57) SE/TE: 290 (Example 1, Quick Check 1, Example 2, Quick Check 2a), 291 (Example 3, Quick Check 3), 293 (#1-30), 294 (#41-52, 53b), 295 (#72-74, 78, 80), 301 (#70-72), 844 (#49-57) SE/TE: 329 (Example 4, Quick Check 4), 330 (Example 6, Quick Check 6, #15-20), 331 (#27-32, 40-60), 332 (#69a, 73, 75), 340 (#48-50), 351 (Checkpoint Quiz 2 #1-3), 360 (#34-39), 362 (#20-21), 846 (#21-26), 847 (#60) SE/TE: 461, 462 (Example 3, Quick Check 3), 464 (#1-22), 465 (#48a-48b, 50-54, 58, 60), 466 (#67a-67b, 79-81, 85, 87, 89-91, 93, 95-96), 467 (#92, 99, ), 468 (Checkpoint Quiz 2 #6), 472 (Example 4, Quick Check 4, Example 5, Quick Check 5), 473 (#23-30, 39), 474 (#47-54, 57, 59-60, 64b-64c, 65a), 475 (#68-69, 70c, 71-73), 478 (Example, #2, 4, 8), 481 (#53-60, 66-67, 71, 73), 482 (#32-34), 483 (#13, 17), 850 (#54, 57-58, 63-64), 851 (#73a, 73c, 74) 20

21 A2.A.28 Solve a logarithmic equation by rewriting as an exponential equation A2.A.29 Identify an arithmetic or geometric sequence and find the formula for its nth term A2.A.30 Determine the common difference in an arithmetic sequence SE/TE: 463, 464 (Example 7, Quick Check 7, #33-41), 465 (#42-47, 55-57, 59), 466 (#65, 82-84, 86, 88, 92, 94), 467 (# ), 468 (# , Checkpoint Quiz 2 #7-8), 470 (Check Skills You ll Need #6-8), 471 (Example 3, Quick Check 3), 473 (#14-22, 40, 44, 46), 474 (#55-56, 58, 61-62), 475 (#74-76), 478 (#3, 5-7), 481 (#61-64, 68-70, 72), 482 (#35-36, 40-44), 850 (#55-56, 59-62) Students will recognize, use, and represent algebraically patterns, relations, and functions. Patterns, Relations, and Functions SE/TE: 602 (Example 3a, Example 4b, Quick Check 4b), 603 (#12-17, 33-41), 606, 608 (#1-10), 609 (#52-61, 71b), 613 (Example 1, Quick Check 1b-1c), 614 (#1-12), 615 (#13-21, 28-36), 616 (#56b-56c), 617 (#71-73, Checkpoint Quiz 1 #1-6), 619 (Check Skills You ll Need #3-6, Activity #1), 641 (#6-11), 642 (#13-15, 25-27), 644 (#1-2, 3a, 4-6, 10-12), 856 (#7-12), 857 (#44a, 45b, 46b) SE/TE: 606 (Example 1b, Quick Check 1b), 608 (#2, 5-7), 617 (Checkpoint Quiz 1 #1, 3, 6), 642 (#14-15), 644 (#11), 857 (#46a) A2.A.31 Determine the common ratio in a geometric sequence SE/TE: 613 (Example 1a), 614 (#1, 3-7, 9-11), 615 (#41b), 616 (#58b, 63), 617 (Checkpoint Quiz 1 #2, 4-5), 642 (#25, 27), 645 (#10, 12) 21

22 A2.A.32 Determine a specified term of an arithmetic or geometric sequence A2.A.33 Specify terms of a sequence, given its recursive definition SE/TE: 601 (Example 1c, Quick Check 1), 602 (Example 3b-3c, Quick Check 3, Example 4a, Quick check 4a), 603 (#1-9, 12-41), 604 (#44c, 45-50, 56b), 607 (Example 2, Quick Check 2b), 608 (#11-20), 609 (#46-51, 63-70), 610 (#85-86, 90, 92-96), 612 (Check Skills You ll Need #1-4), 613 (Example 2, Quick Check 2), 614 (#1, 3-7, 9-11), 615 (#13-21, 28-36, 41c, 42-53), 616 (#66-68), 617 (Checkpoint Quiz 1 #7-9), 620 (Quick Check 2a), 624 (#58-64), 641 (#6-11), 642 (#13-15, 25-27), 644 (#1-2, 3b, 4-6, 13-16, 30-31), 856 (#1-12, 16-21) SE/TE: 602 (Example 3b-3c, Quick Check 3b- 3c), 603 (#24, 27, 31), 604 (#44c, 56b), 610 (#93, 96), 617 (Checkpoint Quiz 1 #7-8) A2.A.34 Represent the sum of a series, using sigma notation A2.A.35 Determine the sum of the first n terms of an arithmetic or geometric series A2.A.36 Apply the binomial theorem to expand a binomial and determine a specific term of a binomial expansion SE/TE: 621 (Example 3, Quick Check 3), 622 (#13-18), 623 (#34b, 42c), 624 (#49, 51, 53), 642 (#34-37), 856 (#22-25) SE/TE: 619 (Activity #3, 4b), 620 (Example 2, Quick Check 2b), 621 (Example 4, Quick Check 4), 622 (#19-24, 31a, 32b), 623 (#35-40, 42d, 47-48), 624 (#50, 55-56), 626 (Example 1), 627 (Quick Check 1, Example 2, Quick Check 2c), 628 (#1-8), 629 (#24-29, 30c, 31b), 631 (#55, 57-59, Checkpoint Quiz 2 #1-6, 634 (Activities 1-2, Exercises #1-6), 642 (#34-37), 643 (#38-45), 644 (#22-28), 856 (#22-29) SE/TE: 355 (Example 3, Quick Check 3), 356 (#13-20, 23-42, 48-57, 59b), 357 (#61-64, 65a, 66, 69-70, 74), 361 (#58), 362 (#41-42), 846 (#48-55) A2.A.37 Define a relation and function SE/TE: 55 22

23 A2.A.38 Determine when a relation is a function SE/TE: 57, 58 (Quick Check 5), 59 (#12-21), 60 (#36-39, 55-57), 61 (#58-61, 63), 70 (#91-93), 109 (#6-10), 113 (#4), 408 (Example 4d, Quick Check 4d), 410 (#5-13, 23-28, 35-43), 411 (#47-58, 63-68), 412 (#73), 419 (#77-82), 425 (#67-70), 426 (#39-42), 849 (#65a), 838 (#1-6) A2.A.39 Determine the domain and range of a function from its equation SE/TE: 408 (Example 4a, 4c, Quick Check 4a, 4c), 410 (#23-28), 411 (#47-58), 418 (#37-51, 53b, 55b, 65-68), 419 (#76), 426 (#32-35), 848 (#44-49) A2.A.40 Write functions in functional notation SE/TE: 59 (#31), 60 (#46-47), 61 (#65), 839 (#67, 71b-71c), 273 (Activity 1 #1, 2a), 400 (Quick Check 4a-4b), 426 (#29a-29c), 427 (#7), 849 (#62-63, 64a, 65) A2.A.41 Use functional notation to evaluate functions for given values in the domain A2.A.42 Find the composition of functions A2.A.43 Determine if a function is one-toone, onto, or both SE/TE: 58 (Quick Check 6), 59 (#22-30), 60 (#50), 61 (#64-65), 78 (Check Skills You ll Need #4-5), 84 (#39-44), 100 (#58-60), 109 (#11-13), 112 (#5, 7) SE/TE: 399 (Example 3, Quick Check 3a), 400 (Example 4b-4d, Quick Check 4a-4b), 401 (#20-44), 402 (#58-62, 69c, 70c-70f), 403 (#75, 76b-76c, 80-82, 86-87), 404 (#89, 91-92, Checkpoint Quiz 2 #10), 409 (Example 6, Quick Check 6), 410 (#31-34), 411 (#70), 412 (#74-79), 425 (#62-66, 71-74), 426 (#26-27, 29c, 36-38), 848 (#35-43), 849 (#63b) SE/TE: A2.A.44 Define the inverse of a function SE/TE: 407, 423 (#8), 425 A2.A.45 Determine the inverse of a function and use composition to justify the result SE/TE: 407 (Example 2, Quick Check 2b), 408 (Example 4b, Quick Check 4b), 409 (Quick Check 5), 410 (#5-13, 23-28, 29a, 30a, 35-43), 411 (#44, 47-58, 61, 63-69), 412 (#71-73), 419 (#77-82), 425 (#67-70), 426 (#39-42), 848 (#44-49), 849 (#64a, 65a) 23

24 A2.A.46 Perform transformations with functions and relations: f(x+a), f(x)+a, f(-x), - f(x), a f(x) Coordinate Geometry A2.A.47 Determine the center-radius form for the equation of a circle in standard form A2.A.48 Write the equation of a circle, given its center and a point on the circle A2.A.49 Write the equation of a circle from its graph A2.A.50 Approximate the solution to polynomial equations of higher degree by inspecting the graph A2.A.51 Determine the domain and range of a function from its graph SE/TE: 93 (Technology Activity #5-7), 94 (Example 1, Quick Check 1a, Example 2b), 95 (Quick Check 2b), 96 (Example 4a, Quick Check 4a), 97 (#1-4, 8-11), 98 (#17-22, 29-34, 40a-40c), 100 (#57), 106 (#54-59), 112 (#32-37), 253 (Example 1, Quick Check 1a), 255 (#1-12), 256 (#36-41), 280 (#84-86), 300 (#13-16), 302 (#33-36), 402 (#46, 48-50, 51-52, 54, 56), 403 (#83-84), 426 (#23, 25), 844 (#7-14) SE/TE: 586 (#13, 15, 18), 593 (#44) SE/TE: 565 (#35-44, 47-50) SE/TE: 564 (#17-18), 587 (#35), 592 (#26-27) SE/TE: 327 (Example 1, Quick Check 1), 328 (Example 2, Quick Check 2), 330 (#1-11), 331 (#33-41, 61-62), 360 (#28-33) SE/TE: 60 (#38), 314 (Example 4b), 318 (#40c), 768 (#60b, 69b) A2.A.52 Identify relations and functions, using graphs A2.A.53 Graph exponential functions of the form x b y = for positive values of b, including e b = A2.A.54 Graph logarithmic functions, using the inverse of the related exponential function Trigonometric Functions A2.A.55 Express and apply the six trigonometric functions as ratios of the sides of a right triangle SE/TE: 57 (Example 5), 58 (Quick Check 5), 59 (#16-21), 60 (#38-39, 43-45), 70 (#91-92), 109 (#8) SE/TE: 430 (Example 1, Quick Check 1b), 434 (#1, 6), 435 (#24, 26, 28, 30), 441 (Example 4), 445 (Checkpoint Quiz 1 #5), 479 (#6), 850 (#16, 19) SE/TE: 448 (Example 5, Quick Check 5), 450 (#35-40), 451 (#73-75), 468 (Checkpoint Quiz 2 #1-2), 480 (#40-43), 482 (#20-23), 850 (#33-40) SE/TE: , 796 (#1-7, 8a-8b, 9-17), 797 (#18-23, 25-33, 35-44, 45b), 798 (#48, 52a, 52c, 53b, 54-55), 799 (#56-59, Checkpoint Quiz 1 #7-10), 800, 806 (#56-61), 828 (#22-27), 830 (#15-24), 862 (#18-27) 24

25 A2.A.56 Know the exact and approximate values of the sine, cosine, and tangent of 0º, 30º, 45º, 60º, 90º, 180º, and 270º angles A2.A.57 Sketch and use the reference angle for angles in standard position A2.A.58 Know and apply the co-function and reciprocal relationships between trigonometric ratios SE/TE: 721 (Example 4, Quick Check 4a- 4b), 723 (#29, 36), 738 (#1-2, 4, 7, 11), 749 (Check Skills You ll Need #2-3, 6), 750 (Example 1b-1c), 751 (#2, 4, 6, 8), 772 (#12, 14-15), 774 (#33-34, 38-39), 783 (Check Skills You ll Need #4) SE/TE: 721, 722 (Quick Check 5b, #21-28), 723 (#53-59), 724 (#67-68), 733 (Checkpoint Quiz 1 #3-6), 771 (#9), 772 (#11), 774 (#33-40) SE/TE: , 767 (#33-53, 55), 768 (#56-59, 60a, 61-68, 69a, 70), 769 (#72, 73a, 74a, 76-79, 81-82), 774 (#33-44), 779 (Example 1), 780 (#4-5, 7-8), 781 (#9, 16-18, 22-23, 25-28, 30-52, 55-60), 782 (#65-68), 790 (#82-87), 814 (Check Skills You ll Need #1-3), 815 (Example 2, Quick Check 2, Example 3), 816 (Quick Check 3), 818 (#7-16), 829 (#38), 830 (#2-3, 38-40) A2.A.59 Use the reciprocal and co-function relationships to find the value of the secant, cosecant, and cotangent of 0º, 30º, 45º, 60º, 90º, 180º, and 270º angles SE/TE: 763 (Example 1a), 764 (Example 2, Quick Check 2), 766 (#9-20), 767 (#33, 36, 39-40), 774 (#37) A2.A.60 Sketch the unit circle and represent angles in standard position A2.A.61 Determine the length of an arc of a circle, given its radius and the measure of its central angle A2.A.62 Find the value of trigonometric functions, if given a point on the terminal side of angle θ A2.A.63 Restrict the domain of the sine, cosine, and tangent functions to ensure the existence of an inverse function SE/TE: 721, 722 (Quick Check 5b, #7-11, 21-28), 723 (#53-58), 724 (#67-68), 733 (Checkpoint Quiz 1 #3-6), 771 (#8-9), 772 (#11), 774 (#33-40), 860 (#4-9) SE/TE: 728 (Example 4, Quick Check 4), 730 (#20-27), 731 (#29, 47-48), 772 (#18), 774 (#16) SE/TE: 721, 722 (Quick Check 5b-5c, #21-28) SE/TE:

26 A2.A.64 Use inverse functions to find the SE/TE: 785 (Example 3, Quick Check 3, measure of an angle, given its sine, cosine, or Example 4, Quick Check 4), 787 (#8-15), tangent 788 (#38-43), 806 (#52-55) A2.A.65 Sketch the graph of the inverses of the sine, cosine, and tangent functions SE/TE: 765, 766 (Example 6, #29-32), 767 (#33-40, 41a, 46-49), 768 (#59a, 60a, 61-68, 69a), 769 (#73a, 74a), 773 (#40-42), 774 (#41-44) A2.A.66 Determine the trigonometric functions of any angle, using technology A2.A.67 Justify the Pythagorean identities SE/TE: 779 A2.A.68 Solve trigonometric equations for all values of the variable from 0º to 360º SE/TE: 763 (Example 1a, Quick Check 1b), 764 (Example 3, Quick Check 3), 766 (#21-28), , 804 (#5-15, 16b, 17-24), 805 (#26b, 27-43), 806 (#45a-45b, 46, 48-55), 807 (Example, #1-6), 808 (Check Skills You ll Need #1-3), 809 (Example 1, Quick Check 1), 810 (Example 3, Quick Check 3, #1-6), 811 (#10-17, 24-29, 30b, 31), 812 (#34-40, 47-48, 50-51), 813 (#53-62), 820 (#65-68, Checkpoint Quiz 2 #1-6), 828 (#25-32), 829 (#33-35), 830 (#21-29, 31-33), 860 (#38-46)862 (#18-23, 28-31) SE/TE: 785 (Example 5), 786 (Quick Check 5, Example 6, Quick Check 6), 787 (#16-33), 788 (#38-43), 790 (#78, 80-81), 828 (#19-21), 830 (#12-14), 862 (#12-17) A2.A.69 Determine amplitude, period, frequency, and phase shift, given the graph or equation of a periodic function SE/TE: 711 (Example 1, Quick Check 1, Example 2b), 712 (Quick Check 2b, Example 3, Quick Check 3), 713 (Example 4, #1-3, 5, 8-9), 714 (#10-13, 21, 23-25), 715 (#33b), 724 (#69-71), 734 (Check Skills You ll Need #1, 3), 735 (Quick Check 2a-2b, Example 3b), 736, 738 (#13-15), 739 (#28-39, 42), 740 (#43a-43b, 45-50, 52a, 56-58), 741 (#61, 63), 742 (#1-5), 743 (Example 1a), 746 (#1-4, 22-29), 748 (#45), 752 (#9-14, 23-25), 753 (#31c), 754 (#51, 53), 755 (#1b, 2b, 3b), 756, 760 (#17-20), 762 (#61-64), 768 (#69b) 26

27 A2.A.70 Sketch and recognize one cycle of a function of the form y=a sin Bx or y=a cos B x A2.A.71 Sketch and recognize the graphs of the functions y=sec(x), y=csc(x), y=tan(x), and y=cot(x) SE/TE: 737 (Example 6, Quick Check 6), 739 (#22-27), 740 (#45-50), 744 (Example 2, Quick Check 2a, 2c), 746 (#5-9), 748 (#42), 760 (#25), 762 (Checkpoint Quiz 2 #1-4), 772 (#19-21), 774 (#17-18, 23-24) SE/TE: 750 (Example 2), 751 (Quick Check 2), 752 (#15-21, 22a, 23-25), 753 (#31c, 42a, 43a, 44a), 762 (Checkpoint Quiz 2 #5-6, 9), 765, 766 (#29-32), 767 (#46-49), 768 (#59a, 60a, 61-68, 69a), 769 (#73a, 74a), 773 (#29-31, 40-42), 774 (#27-28, 41-44) A2.A.72 Write the trigonometric function that is represented by a given periodic graph A2.A.73 Solve for an unknown side or angle, using the Law of Sines or the Law of Cosines A2.A.74 Determine the area of a triangle or a parallelogram, given the measure of two sides and the included angle A2.A.75 Determine the solution(s) from the SSA situation (ambiguous case) A2.A.76 Apply the angle sum and difference formulas for trigonometric functions SE/TE: 738 (Example 7, Quick Check 7), 739 (#28-33), 740 (#52b), 746 (#13-14), 753 (#38-41), 755 (Example, #1c, 2c, 3c), 761 (#41-42), 772 (#22), 773 (#25) SE/TE: 802, 803 (Example 4a), 804 (#5-15, 16a, 17-24), 805 (#26-29, 38-43), 806 (#45a, 46, 48-50), , 811 (#10-17, 24-29, 30b, 31), 812 (#33-48, 50-52), 813 (#53-57, 59-62), 820 (#65-68, Checkpoint Quiz 2 #5-6), 828 (#31-32), 829 (#33-35), 830 (#26-29, 31-33), 832 (#19), 833 (#36, 45), 862 (#28-31), 863 (#55-57) SE/TE: 801, 803 (#1-4), 804 (#30-37), 806 (#51), 813 (#58), 820 (Checkpoint Quiz 2 #1-4), 828 (#28-30), 830 (#25) SE/TE: 807 (Example, #1-6) SE/TE: 817, 818 (#17-36), 819 (#44-49, 53-56, 60), 820 (#62-64, Checkpoint Quiz 2 #7-10), 821 (Check Skills You ll Need #1-6), 824 (#9-10), 825 (#62-64), 862 (#32-37) A2.A.77 Apply the double-angle and halfangle formulas for trigonometric functions SE/TE: 822 (Example 1, Quick Check 1), 823, 824 (#1-8, 11-48, 49b-49c), 825 (#51-60), 829 (#40-45), 830 (#41-47), 862 (#44-49) 27