Math Program correlated to Grade-Level
( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) CCG: NUMBERS - Understand numbers, ways of representing numbers, relationships among numbers, and number systems Compare real numbers Passport to Algebra and PE/TE: 104, 275, 415; 106-107, 276-277, 283, 286-287, 290-291, 322-323, 343, 417, 719; 118, 130, 390 Add'l TE: 324, 439 PE/TE: 63, 64, 65, 780; 67-69, 780; 38, 85, 98, 186 Calculations and Estimations PE/TE: 65-67, 77, 165, 469-470, 767-769, 770; 68-70, 167, 472-473, 767-769, 770; 76, 106, 118, 149, 182, 188, 215, 319, 430, 460, 474, 491, 510, 525, 539, 561, 657, 669, 739, 790 PE/TE: 3-5; 6-9, 803; 16, 60 : Concepts and Skills PE/TE: 662; 662; xx, xxiii, 159, 184, 280, 290, 429, 568, 612 PE/TE: 3-6, 905; 7-10, 905, 925, 940; 17, 39, 673 Order and compare numbers expressed in scientific notation to each other and to other forms of real numbers Passport to Algebra and PE/TE: 290-291 PE/TE: 470-472, 473-475, 569, 804; 491, 524, 538, 602 PE/TE: 469-471, 790; 472-474, 790; 491, 510, 561 1
Calculations and Estimations ( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) RECOGNIZE THAT THE SET OF REAL NUMBERS CONTAINS THE SET OF IRRATIONAL NUMBERS AND THE SET OF RATIONAL NUMBERS AND KNOW THE DIFFERENCE BETWEEN THEM Passport to Algebra and PE/TE: 280-281, 414-415; 282, 416-417, 730; 431, 451 Add'l TE: 283 PE/TE: 65-67, 71, 500; 68-70, 502-503; 504, 767 : Concepts and Skills PE/TE: 452-454, 537-538, 655, 657, 663; 445, 455-458, 523, 547, 655, 657, 663; 593 PE/TE: 3; 7 Add'l TE: 6, 10 2
( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) Locate real numbers on a number line (including approximations of irrational numbers) Passport to Algebra and PE/TE: 7-8, 104-105, 114, 275, 415, 425, 748; 106-107, 112, 313, 416, 730; 116, 130, 152, 451, 454, 457 Add'l TE: 115, 117, 142, 432 PE/TE: 63-65, 72, 334-336, 355, 375-377, 779-780; 67, 75, 337, 378-379, 780, 798; 98, 186 Add'l TE: 68 PE/TE: 65-67, 71, 78-80, 770, 771; 68-70, 81, 770, 771; 83, 91, 121, 182 PE/TE: 785; 785 : Concepts and Skills PE/TE: 662, 663; 662, 663 PE/TE: 3-4, 905; 7, 905, 940; 17, 673 Calculations and Estimations 3
( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) Apply equivalent forms of real numbers to solve problems Calculations and Estimations Passport to Algebra and PE/TE: 280-281, 314-317, 320-321, 335-337, 340-341, 344-345, 351, 376-377, 382-383, 386-387, 414-415, 746-747; 282-283, 291, 318-319, 322-323, 338-339, 342-343, 346-347, 352-353, 378-379, 384-385, 388-389, 416-417, 430, 727-729, 746-747; 302, 334, 349, 380, 407, 452 Add'l TE: 350, 414 PE/TE: 140-141, 643-645, 678, 784-785; 103, 646-648, 662, 674-675, 680-681, 785; 516, 675, 689 PE/TE: 165, 183-184, 767-769; 167, 186-187, 767-769; 106, 149, 193, 215, 347, 430, 474, 638, 657, 669, 739 PE/TE: 459-460, 465-467, 474-475, 482, 498-501, 785; 390-391, 461-464, 468-471, 475-478, 485-487, 502-505, 785, 817; 390-391, 479, 487, 516-518 : Concepts and Skills PE/TE: 451-452, 674; 458, 674 PE/TE: 325, 907; 327-328, 907 4
( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) CCG: COMPUTATION AND ESTIMATION - Compute fluently and make reasonable estimates Compute with real numbers, including absolute value and numbers expressed in scientific notation Calculations and Estimations Passport to Algebra and Students are expected to use computation throughout the course. Specific examples of computation, including absolute value and scientific notation, are on the following pages: PE/TE: 6-7, 10-11, 16-17, 105, 108-111, 114-115, 119-120, 124-126, 132-133, 137, 284-285, 289, 292, 310-311, 314-317, 324-325, 330-331, 344-345, 747-748, 753 PE/TE: 65-66, 470-472; 68, 473-475, 804; 85, 125, 495, 497, 524, 538, 602 PE/TE: 10-11, 15-17, 78-80, 86-88, 93-95, 100-102, 355-357, 361-363, 470-471; 18-20, 74, 81-83, 89-91, 96-98, 103-106, 354, 358-360, 364-366, 473; 56, 156, 162, 265, 335, 373, 454, 491, 510, 561 Real numbers are used throughout in computations. For absolute value and scientific notation, see the following: PE/TE: 17; 259, 764; 259 : Concepts and Skills PE/TE: 662, 663, 670; 662, 663, 670, 693; xxiii, 13, 27, 33, 59, 113, 120, 142, 149, 205, 239, 256, 263, 336, 423, 459, 575, 625 PE/TE: 50-52, 122-124, 325, 913; 50-52, 122-124, 325, 913; 98, 113, 120, 206, 221, 344, 638 5
( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) Compute with integer exponents and whole number roots Calculations and Estimations Passport to Algebra and PE/TE: 10-11, 261, 280, 284-285, 288-289, 410-411, 414-415, 419-421, 425-427, 567, 590, 593, 596-597, 750, 755; 12-13, 15, 18-19, 41, 262-263, 282, 286-287, 290-292, 412-413, 416-417, 422-424, 428-430, 436-437, 568-570, 594-595, 598-599, 726, 730-731, 750; 20, 36, 42, 44, 152, 299, 431, 457, 600, 613, 615, 701 Add'l TE: 586 PE/TE: 9-11, 16, 450-452, 456-458, 463-465; 12-15, 19, 21, 453-455, 459-461, 466-468, 804, 805; 22, 455, 461, 469 PE/TE: 9-11, 443-445, 449-451, 462-464, 469-471, 499-501, 505-507, 710-714; 12-14, 441-442, 446-448, 452-454, 465-468, 472-474, 502-504, 508-509, 713-714, 748; 56, 553, 747, 751 PE/TE: 535-537, 542, 543-545, 551-553, 568, 573-575, 729, 731, 735-737, 744-745, 750-751, 752-754, 759-761, 767-768; 258, 522-523, 538-541, 545-548, 554-556, 565, 576-578, 732-734, 738-740, 746-748, 755-757, 762-765, 769-771, 797-801, 803, 825-826; 258, 522-523, 541, 549, 580, 582-584, 749, 758, 772, 774-776, 797-801 : Concepts and Skills PE/TE: 167, 192-194, 196-197, 424, 453-454, 485-486, 493-494, 502, 511-512, 517-519, 570-571, 668, 669; 167, 195-197, 455-457, 486-489, 494-498, 503, 505-507, 512-516, 519, 520-523, 572, 668, 669, 681, 694; xxiv, 190, 249, 256, 398, 463, 467, 525, 541, 593 PE/TE: 11-13, 264, 323-325, 401-403; 14-16, 326-328, 404-406, 638, 947 6
Calculations and Estimations ( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) MENTALLY MULTIPLY AND DIVIDE BY POWERS OF 10 TO ESTIMATE RESULTS OF COMPUTATIONS INVOLVING NUMBERS EXPRESSED IN SCIENTIFIC NOTATION Passport to Algebra and PE/TE: 289; 287, 290 Add'l TE: 285 PE/TE: 469-470, 790; 472-473, 790; 491, 510, 561 DEVELOP AND use strategies to estimate the results of real number computations, determine the amount of error, AND JUDGE THE REASONABLENESS OF RESULTS Passport to Algebra and PE/TE: 193, 430 PE/TE: 645, 651; 647 Add'l TE: 181 PE/TE: 5, 298-300, 500-501, 774-776; 7, 215, 303, 334, 503-504, 544, 774-776; 83, 316, 468, 729, 775 PE/TE: 18, 145, 164, 375, 460, 467, 472, 491, 508, 530, 537, 561, 569, 631, 700-7010, 760-761, 771, 783; 22-23, 31, 378, 408, 462-463, 470, 486, 494, 504, 511, 5323, 540, 555, 562-564, 571, 632, 634, 702-704, 762, 764, 771, 784; 516, 765 : Concepts and Skills PE/TE: 537; 538, 539, 541 PE/TE: 36, 368, 748, 764-765; 606, 750-751, 764-765 7
( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) Estimate the results of computations with integer powers and roots of real numbers Passport to Algebra and PE/TE: 411, 414-415, 419-421, 425, 426-427, 430; 412-413, 416, 422-423, 429; 431, 457 PE/TE: 458, 472, 478, 504, 506; 474, 481, 507-508 PE/TE: 500-501, 513; 503-504; 553 PE/TE: 466, 530, 537, 553, 560, 735, 745, 752-754; 532, 539-540, 555, 738-740, 747, 755-757, 799, 825; 566, 758, 772, 774 : Concepts and Skills PE/TE: 537, 668, 669; 538-539, 541, 668, 669 PE/TE: 264-266, 283-284, 401-403, 440; 267-269, 404-406 Calculations and Estimations 8
( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) CCG: OPERATIONS AND PROPERTIES - Understand meanings of operations and how they relate to one another RECOGNIZE THAT TAKING THE NTH ROOT OF A NUMBER CORRESPONDS TO PRIME FACTORIZATION PE/TE: 504, 506, 513; 507-508, 510, 777 PE/TE: 949 Use the inverse operations of nth power and nth root to solve problems AND CHECK SOLUTIONS PE/TE: 505-506, 511-513; 507-510, 514-516, 805; 531 PE/TE: 505-507, 704-706, 724-725; 508-509, 707-708, 722-723, 727-728; 553, 748, 749 PE/TE: 536-537, 538-541, 568, 745, 753, 799, 800; 258, 523, 570, 747, 756, 757, 799, 800; 258, 522, 523, 534, 541, 582, 584 : Concepts and Skills PE/TE: 192-194, 436, 491-492, 494, 512, 537, 549, 570-571, 668; 195-197, 437, 494-497, 512-515, 539, 572-574, 668; 579 PE/TE: 283-284, 401-403, 437-440; 287, 404-406, 441-443; 280, 328, 336, 458 Calculations and Estimations 9
( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) Apply the associative, commutative, and distributive properties to simplify computations with real numbers Passport to Algebra and PE/TE: 51-53, 56-57, 67, 115, 121, 163, 172-173, 178; 54-55, 58-59, 63, 68, 122, 174-175, 717, 722, 732, 741; 70, 97, 198 Add'l TE: 351; 60, 66 PE/TE: 73-74, 99-102, 758-759; 75-76, 96-97, 99, 103-106, 582, 757, 798 PE/TE: 79-80, 94, 95, 99-102, 575, 740; 81-83, 96-98, 103-105, 574, 578; 123, 125, 126, 573 PE/TE: 96-97, 787, 798; 100-101, 391, 787, 798; 391, 787 : Concepts and Skills PE/TE: 671; 671; xxv, 308, 541 PE/TE: 5, 19, 20, 21, 928, 929; 7, 8, 10, 23, 940; 17, 47, 81, 351, 444 Calculations and Estimations 10
( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) USE PROPERTIES OF NUMBERS TO DEMONSTRATE WHETHER ASSERTIONS ARE TRUE OR FALSE Passport to Algebra and PE/TE: 54, 122, 256, 262; 101, 201, 303, 713 PE/TE: 71, 78; 71, 78, 206, 214 Add'l TE: 24 PE/TE: 79-80, 94, 140, 588, 740-743; 81, 97, 743-746; 83, 235, 408, 750, 753 PE/TE: 4-5, 294, 329; 6, 8, 78, 805 : Concepts and Skills PE/TE: 88-90; 91-93, 678 PE/TE: 7, 10, 16 Calculations and Estimations 11
Statistics and Probability ( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) CCG: STATISTICS - Select and use appropriate statistical methods to analyze data Estimate from a graph or a set of data the mean and standard deviation of a normal distribution and DRAW CONCLUSIONS ABOUT THE DISTRIBUTION OF DATA USING MEASURES OF CENTER AND SPREAD (e.g., analyze a variety of summary statistics and graphical displays) PE/TE: 369, 370, 377; 371, 380, 802; 381, 391, 438, 568, 736 PE/TE: 207; 780 PE/TE: 746-748, 964; 749-751, 964; 744, 819 ANALYZE BIVARIATE DATA AND IDENTIFY THE TYPE OF FUNCTION (LINEAR, QUADRATIC, EXPONENTIAL) THAT COULD BE USED TO MODEL THE DATA Passport to Algebra and PE/TE: 618; 620, 624-325 Add'l TE: 619, 648 PE/TE: 203-206, 209, 555-556; 207-209, 423, 557-559, 570-571, 801; 617, 682 PE/TE: 109, 226, 236, 238, 285, 298, 300, 391, 398, 409, 483, 672, 700, 780; 111, 227, 240, 289, 290, 301-302, 400, 412, 485-486, 675, 702, 780; 249, 379, 412 PE/TE: 99-103, 107, 307-308, 509-512; 104-105, 309, 310, 311, 513-515, 516; 508 12
( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) CCG: PROBABILITY - Understand and apply basic concepts of probability Compute the probability of a compound event (e.g., toss a coin three times to find the probability of two heads) Passport to Algebra and PE/TE: 399; 400-401,730; 405 PE/TE: 675 PE/TE: 724-726; 727-729, 957; 752, 812, 861 Determine probabilities of dependent and independent events (e.g., use colored marbles with and without replacement) Passport to Algebra and PE/TE: 240-243, 398-399; 244-245, 400-401, 724, 730; 264, 307, 390, 613 Add'l TE: 442 Probabilities of independent and dependent events are covered on the following pages: PE/TE: 675 Probability in general is discussed on: PE/TE: 114-116; 117-119, 345, 454, 468, 675; 120, 596 PE/TE: 730-733; 734-736, 957; 775, 837 Statistics and Probability Use conditional probability to solve problems (e.g., from a sample set for the roll of two tetrahedral die; given that a sum is even, what is the probability that the sum is 6?) PE/TE: 732, 733; 734-736, 957; 775, 837 13
Statistics and Probability ( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) Determine ALL POSSIBLE OUTCOMES OF A PARTICULAR EVENT OR ALL POSSIBLE arrangements of objects in a given set by applying counting strategies, combinations, and permutations Passport to Algebra and PE/TE: 392-393, 745, 760; 394-395, 400, 730, 745, 760; 457, 613 Add'l TE: 398, 401 PE/TE: 114-116, 788, 789; 117-119, 789 PE/TE: 701-704, 708-709, 966; 705-707, 712-714, 956, 966; 715, 722, 729, 847 14
Statistics and Probability ( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) CCG: COLLECT AND DISPLAY DATA - Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them Determine appropriate designs for simulations (surveys, observational studies, and experiments) and modeling to study a problem AND CONSTRUCT EMPIRICAL PROBABILITY DISTRIBUTIONS TO REPRESENT RESULTS Passport to Algebra and PE/TE: 240-241, 397-398; 244, 400; 405 Add'l TE: 401 PE/TE: 716-718; 719-722, 956, 957; 798 Use matrices, histograms, scatter plots, stem-and-leaf plots, and box-and whisker-plots to interpret data Passport to Algebra and PE/TE: 209, 213, 236-237, 649, 672-673, 676-677, 681-683; 210, 238-239, 650-651, 674-675, 678-680, 684-686, 724; 247, 307, 647, 687 PE/TE: 86-88, 209, 368, 370, 375-378, 382, 792, 793; 89-92, 170, 185, 209, 371-373, 378-380, 382, 798, 802; 381, 546 PE/TE: 205, 777; 207, 257, 779 PE/TE: 100-102, 202, 207, 210, 232, 321, 509-512, 934, 935, 936; 103-105, 204-206, 211, 212, 942, 944; 120, 128, 154, 280, 508, 736 Identify examples of populations that are normally distributed An opportunity to address this standard can be found on the following pages: PE/TE: 370; 373 PE/TE: 746-748; 749-751, 957; 819 15
( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) CCG: DATA ANALYSIS AND PREDICTIONS - Develop and evaluate inferences and predictions that are based on data Make inferences and predictions from data in histograms, scatter plots, and parallel box plots Passport to Algebra and PE/TE: 209, 236-237, 676-677; 238-239, 679, 724, 740; 247, 307, 687, 710, 713 Add'l TE: 680 PE/TE: 209, 368, 370, 375-378, 382, 792, 793; 185, 209, 371, 373, 378-380, 382, 792, 793; 381, 546 PE/TE: 205, 777, 779; 207, 257, 777, 779 PE/TE: 100-102, 321, 448, 509-512, 740, 741; 103-105, 450, 451, 514, 515, 743, 942; 120, 128, 154, 162, 508 Make predictions about populations based on reported sample statistics Passport to Algebra and PE/TE: 243; 245 PE/TE: 370; 371-373, 379 PE/TE: 477; 480, 486; 492 Statistics and Probability PE/TE: 748; 750-751 UNDERSTAND THAT INFERENCES ABOUT A POPULATION DRAWN FROM A SAMPLE INVOLVE UNCERTAINTY AND THAT THE ROLE OF STATISTICS IS TO MEASURE THAT UNCERTAINTY Please see Oregon and Test Preparation Workbook. 16
Algebraic Relationships ( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) CCG: PATTERNS AND FUNCTIONS - Understand patterns, relations, and functions REPRESENT and generalize sequences resulting from linear, quadratic, and exponential relationships using recursive or explicit formulas tables of values and graphs Passport to Algebra and PE/TE: 145, 618, 622-623, 627-629, 643, 648; 151, 620-621, 624-625, 630-632, 644-645, 651, 738; 639 Add'l TE: 652 PE/TE: 315; 315 PE/TE: 48-50, 210-212, 350, 455-457, 477-478, 482-484, 518-522, 691-694; 1, 22, 51-54, 75, 213-215, 352, 458-459, 461, 475, 480, 486, 523-525, 695-697; 492, 747 PE/TE: 3-4, 97, 167, 293, 793; 6-7, 9, 41, 556, 793, 803; 793 : Concepts and Skills PE/TE: 3, 9, 666; 3-7, 666; 43, 675 PE/TE: 651-653, 659-662, 666-668, 669, 681-683, 687, 688; 71, 72, 655, 663, 665, 670-671, 684-686, 956; 673, 686, 687 17
( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) PRODUCE A VALID CONJECTURE USING INDUCTIVE REASONING BY GENERALIZING FROM A PATTERN OF OBSERVATIONS Passport to Algebra and PE/TE: 30-31, 33, 236-237, 240-241, 258-259, 294-295, 391, 418-419, 492-493, 564-565, 590-591, 602, 640-641, 744; 238-239, 296-297, 744 PE/TE: 187-188; 71, 188, 225, 240, 307, 393, 476, 763, 729 PE/TE: 22-23, 119, 120, 741; 1, 77, 84-85, 92, 209, 228, 234, 242, 305, 329, 415, 423, 442, 519, 722, 744, 750 PE/TE: 3-5; 6-9, 43, 78, 108, 193, 294, 329, 395, 403, 411, 429, 472, 497, 514, 542, 550, 612, 628, 641, 676, 706, 727, 750, 755, 803 : Concepts and Skills PE/TE: 8-10; 11-13, 114, 126-127, 141, 150, 191, 386, 392, 399, 439, 594, 613, 626; 43, 46, 675 PE/TE: 689-690; 690 Algebraic Relationships 18
( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) Evaluate and make a table for two-variable formulas and match a graph or table of values to its formula Passport to Algebra and PE/TE: 143, 618, 622-623; 145, 620-621, 624-625, 630, 644-645, 738-739; 151, 639, 661 Add'l TE: 619, 634, 648 PE/TE: 745-747, 768; 749, 756, 808 Algebraic Relationships PE/TE: 49, 50, 211-212, 367-369, 478, 521-522; 51, 53, 213-214, 248, 256, 370-373, 459, 479, 518, 523, 525, 529, 531, 544, 546, 554, 697; 460, 474, 504, 517, 525, 552, 554, 557 Two-variable formulas are evaluated throughout. For examples, see: PE/TE: 19-20, 51-54, 793; 22-23, 55-57, 793; 61-62 : Concepts and Skills PE/TE: 666; 481-482, 666 PE/TE: 25, 69, 137; 71, 253, 266, 472, 473 Identify independent and dependent variables and determine the domain and range of a function in a problem situation PE/TE: 47, 110; 49-51, 112, 259, 261; 77, 721, 728 PE/TE: 49, 115, 218, 252, 457, 691-694; 116, 117, 195, 255-256, 459, 695-696; 58, 517 PE/TE: 67-70; 71-73, 614 19
( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) CCG: ALGEBRAIC RELATIONSHIPS - Represent and analyze mathematical situations and structures using algebraic symbols Algebraically represent situations and solve problems involving quadratic and exponential equations, including exponential growth and decay Algebraic Relationships PE/TE: 476-479, 484-487, 492, 526-528, 533-535, 550, 554-556, 606, 613, 620-621, 730-733; 480-482, 489-490, 492, 529-532, 537-539, 552, 558-559, 616, 623, 734-736, 805; 553, 595, 736 PE/TE: 455-457, 461, 475, 476-478, 482-484, 528, 533-535, 590, 598, 605, 612, 718; 459-460, 479-481, 485-488, 524-525, 530, 536-539, 544, 592-593, 607, 614, 719-720; 347, 517, 522 PE/TE: 730, 735-737, 744-745, 750, 752-754, 759-761, 767-768, 797; 732-734, 738-741, 746-749, 755-757, 762-765, 770, 797, 825-826; 523, 741, 749, 758, 772, 774-776, 800-801 PE/TE: 249-252, 256-259, 264-266, 465-468, 473-476; 253-255, 260-263, 267-269, 469-472, 477-479, 949, 950; 479, 539, 560, 607 Use graphs to solve non-linear equations, including quadratics PE/TE: 479, 486-487, 492, 526-528; 476, 480-483, 488-490, 492, 529-532, 804, 805; 595, 736 PE/TE: 456-457, 520-522, 526-528, 590; 459-460, 524, 529-531, 592; 490, 555 An oppotunity to address this standard can be found on the following pages: PE/TE: 637; 638-639, 821 PE/TE: 271; 271, 945; 371, 344 20
( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) Represent and solve a system of linear equations with two variables using simultaneous equations and by graphing PE/TE: 397-400, 404, 425-428; 397, 401-402, 404, 425, 429-431, 803; 431 PE/TE: 389-391, 395, 402-404, 411, 417-419; 392-394, 405-408, 412-413, 415-416, 420-422; 435 PE/TE: 796; 796 : Concepts and Skills PE/TE: 667; 667; 583 PE/TE: 139-141, 146-151; 152-154, 943; 155, 213, 229, 269, 298, 312, 358, 508 Algebraic Relationships 21
( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) Recognize AND GENERATE equivalent forms for algebraic expressions, including combining like terms and expanding binomials Algebraic Relationships Passport to Algebra and PE/TE: 51-53, 56-57, 115, 121, 688-689, 698-699, 703-705; 54-55, 58-59, 63, 116-117, 122, 621, 690-691, 701, 706-707, 717, 725-726, 741; 70, 76, 86, 97, 100, 130, 152, 166, 305, 662 Add'l TE: 60, 123, 163 PE/TE: 99-102, 590-592; 99, 103-105, 111-112, 593-594, 629, 806; 596, 602 PE/TE: 15-17, 101-102, 107-109, 144-146, 337, 499, 511-513, 569-570, 574-577, 581-584, 617-619, 698-699, 740; 18-21, 99, 103-105, 110-112, 147-149, 502-503, 514-516, 571-572, 578-579, 585-587, 620-621, 701-703; 559, 573 PE/TE: 787, 789, 790, 791, 796, 797, 798, 799, 802; 258, 522, 787, 789, 790, 791, 796, 797, 798, 799, 802; 258, 522, 580 : Concepts and Skills PE/TE: 101, 167, 670-673; 101, 167, 599, 670-673; 499, 541, 562, 632 PE/TE: 13, 26-28, 710-711; 14, 15, 29, 30, 31, 712-713, 940; 24, 81 22
( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) Evaluate algebraic expressions and formulas by substituting real numbers Algebraic Relationships Passport to Algebra and PE/TE: 22-23, 78-79, 115, 127, 139, 143, 192-193, 420-421, 426-427, 512-513, 566-567, 580, 592, 619, 634-635, 656-657; 24-25, 33-34, 39-40, 53, 57-59, 81, 117, 121, 128-130, 145, 175, 412-413, 422-423, 428-429, 514-515, 568-569, 582, 594-595, 621, 636-637, 645, 658-659, 691, 696-697, 706, 716, 720; 36, 44, 46, 77, 100, 118, 151, 199, 305, 348, 452, 557, 570, 608, 610, 639, 714 Add'l TE: 35, 41, 51, 411, 707 PE/TE: 15, 24-26, 109; 27-29, 799; 30, 38-39, 70, 262 PE/TE: 4-5, 10-11, 15, 24-26, 95, 109, 210-212, 222-223, 230-231, 236-237, 254, 396-398, 501, 533; 6-7, 12-13, 18, 27-28, 97, 111, 209, 213-214, 225-226, 234, 239, 256, 399-401, 503; 21, 29, 59, 347, 435, 436 Found throughout the text. See "Using Algebra" examples and exercises, such as on the following pages: PE/TE: 19-20, 35, 45, 80, 373, 466, 500, 662; 22-24, 38-39, 49, 464, 704, 733 : Concepts and Skills PE/TE: 49, 192-194, 424-426, 431-433, 440-441, 444, 446-447, 452-454, 484-486, 492-493, 500-502, 510-512, 517-519, 627-628, 665, 670, 674; 125, 49, 56-57, 323, 459 195-198, 428-429 PE/TE: 12, 13, 26, 27; 56, 14-15, 74, 29; 289 23
( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) Translate between and interpret quadratic and exponential relationships represented by words, symbols, tables, and graphs PE/TE: 477-479, 484-487, 503-506; 480-482, 489-490, 507-510, 804, 805; 538, 553, 595 PE/TE: 455-457, 461, 475, 476-478, 482-484, 520-522, 527-528, 533-535; 459-460, 479-481, 485-488, 523-525, 529-531, 536-539 546 PE/TE: 249-252, 465-468, 473-476; 253-255, 469-472, 477-479, 947, 950, 951; 479, 539, 560, 607 Determine and interpret maxima or minima and zeros of quadratic functions, and linear functions where y = constant PE/TE: 216 218, 520 522, 525 528, 533 535; 219 220, 497, 523 524, 529 531, 537 538 PE/TE: 794; 794 PE/TE: 252, 257-258, 259, 285, 290; 254, 255, 260, 261, 287, 288, 289, 946; 80, 328, 334, 336, 358, 365, 444 Algebraic Relationships 24
( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) GRAPH LINEAR INEQUALITIES IN TWO VARIABLES Passport to Algebra and PE/TE: 652-653; 654-655, 739 PE/TE: 360-362, 367; 363-365, 367, 802; 366 PE/TE: 367-369, 374, 424 426; 370-373, 427 429; 378, 379, 401, 422, 474, 539, 545 PE/TE: 108-110; 111-113, 942; 155, 221, 263, 289, 298 GRAPH QUADRATIC AND EXPONENTIAL EQUATIONS PE/TE: 458, 479, 518-520, 525-528, 532, 534; 459-461, 521-523, 525, 528-532, 804, 805; 538, 553, 560 PE/TE: 455-457, 483 484, 518 519, 520-522, 526 528, 542, 544; 459-460, 485 487, 523-525, 529-531; 493 PE/TE: 249-252, 465-467, 474-476; 253-254, 469-471, 477-479, 945, 950; 263, 328, 371, 429, 516, 539, 560, 594, 607 Algebraic Relationships 25
( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) Analyze how changing a parameter (i.e., k, b) in a quadratic or exponential function of the form y=k^x+b, y=kx^2+b, or y=k(x+b)^2 affects its graph PE/TE: 456, 518-519; 523 PE/TE: 484, 518, 519, 542; 487, 493, 523, 544 PE/TE: 249, 250, 465-466; 254, 255, 469, 470, 471, 474-475 Algebraic Relationships 26
( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) CCG: MODELING - Use mathematical models to represent and understand quantitative relationships Model situations, make predictions and inferences, and solve problems using linear, quadratic, and exponential functions Passport to Algebra and PE/TE: 618-619, 622-623, 628-629, 646-649; 620-621, 624-625, 630-632, 645, 650-651, 739; 626, 639, 661 Algebraic Relationships Found throughout the text. See, for example: PE/TE: 147, 212, 252, 258, 274-275, 281, 302, 307, 310, 315-318, 477-479, 503-506; 149-150, 216, 254-255, 277-278, 283-284, 304, 306-307, 319-322, 480-482, 507-510, 801, 804, 805; 322, 326, 602 PE/TE: 49 50, 218, 236 238, 298 300, 398, 476 478, 483 484, 518 519, 524, 528, 535, 542, 590, 598, 605, 612, 700; 51, 209, 219 220, 301 303, 400, 413, 421, 487, 493, 497, 525, 529-531, 537 538, 544, 592, 607, 634, 702, 720; 249, 261, 379, 492, 557 Found throughout the text. See, for example: PE/TE: 53-54, 664, 694, 793, 800, 801, 803; 56-57, 523, 793, 800, 801; 523 : Concepts and Skills PE/TE: 3-4; 5-7, 34, 60, 74 This objective is met throughout the text. Example pages include: PE/TE: 12, 13, 33-36, 68, 70, 252, 307, 308, 465-468; 14-16, 37-39, 71, 72, 73, 254, 255, 309-311, 469-472; 120, 168, 351, 358, 365, 539, 560 27
( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) Determine when data represented in a table or graph represents a linear, quadratic, or exponential relationship PE/TE: 554-556; 557-560, 805; 617 Algebraic Relationships PE/TE: 49 50, 218, 236 238, 298 300, 398, 476 478, 483 484, 518 519, 524, 528, 535, 542, 590, 598, 605, 612, 700; 51, 209, 219 220, 301 303, 400, 413, 421, 487, 493, 497, 525, 529-531, 537 538, 544, 592, 607, 634, 702, 720; 249, 261, 379, 492, 557 : Concepts and Skills PE/TE: 3-4; 5 7 PE/TE: 253, 477 28
( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) CCG: CHANGE - Analyze change in various contexts Approximate and interpret rates of change in graphical and numeric data Passport to Algebra and PE/TE: 623, 633-635, 642-643; 637, 644-645; 639, 662, 664 Add'l TE: 625, 638 Found throughout the text. See, for example: PE/TE: 225-229, 241-243, 250-253, 279-281, 293-295; 230-232, 237, 244-246, 253-255, 282-283, 802; 284, 291 PE/TE: 228-232, 243, 245, 298 300; 233-235, 247, 301 303, 305, 309, 422; 261, 263, 290 : Concepts and Skills PE/TE: 3-4, 665; 5-7, 665; 20, 66, 81 PE/TE: 75-78, 94, 99, 101-102, 107; 79, 80, 96, 97, 103-105; 106, 255 Algebraic Relationships 29
( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) Analyze the nature of change of each variable in a non-linear relationship as suggested by a table of values, a graph or a formula Passport to Algebra and PE/TE: 702 PE/TE: 448, 477-479, 483, 484-487, 503-506; 480-482, 489-491, 507-509, 804, 805, 806; 538, 553 PE/TE: 455-457, 461, 476 478, 482 484; 289, 458-460, 475, 479 480, 485 487, 488; 490 : Concepts and Skills PE/TE: 3-4, 665; 5-7, 665 PE/TE: 249-252, 465-468, 474-476; 253-255, 469-472, 477-479, 945, 950; 263, 328, 371, 539, 594, 607 Algebraic Relationships 30
( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) CCG: UNITS AND TOOLS - Understand measurable attributes of objects and the units, systems and processes of measurement Determine the appropriate units, scales, and tools for problem situations involving measurement Passport to Algebra and PE/TE: 540-541 PE/TE: 5, 8, 11; 7, 13, 55, 631, 637; 35, 47, 697 PE/TE: 34, 104, 110, 211, 263, 403, 413, 472, 480, 567, 590, 612, 676; 21, 38-39, 105, 268, 270, 469, 486, 618, 673-674; 219 : Concepts and Skills PE/TE: 28, 360; 32, 363, 503 Measurement 31
( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) Solve problems involving unit conversions (e.g., mi/hr to ft/sec) given the unit equivalencies Passport to Algebra and PE/TE: 364, 437 Add'l TE: 365, 403 PE/TE: 5, 95, 156, 181, 229, 258, 274, 275, 472, 711, 810; 6, 37, 150, 163, 183, 184, 277, 468, 475, 713 PE/TE: 178, 179, 224; 180 182, 637, 734; 366, 697, 802 PE/TE: 457; 390, 461, 469, 817; 390 : Concepts and Skills PE/TE: 227; 227 PE/TE: 6, 777-779; 781; 32, 775, 822 DETERMINE THE PRECISION OF A GIVEN MEASURING TOOL (E.G., 1 DEGREE FOR A STANDARD PROTRACTOR) : Concepts and Skills PE/TE: 36 37, 39, 542; 38 40, 556 Measurement 32
( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) CCG: DIRECT AND INDIRECT MEASUREMENT - Apply appropriate techniques, tools, and formulas to determine measurements DEVELOP and use strategies and formulas for calculating surface area and volume of cones and spheres Passport to Algebra and PE/TE: 590-592, 596; 594-595, 597-599, 601, 737; 611, 615 An opportunity to address this standard can be found on the following pages: PE/TE: 813; 454, 467, 713 PE/TE: 447, 696, 714 PE/TE: 753-754, 759-761; 755-757, 762-765, 825-826; 758, 772, 775-776 : Concepts and Skills PE/TE: 493, 494, 511, 512, 517-519; 495-498, 513-516, 520-523, 691 692; 499, 507, 516, 524, 525, 526, 527, 562, 575 PE/TE: 72, 327, 413, 968 Add'l TE: 328 Measurement 33
Measurement ( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) Use formulas to solve problems involving finding missing dimensions given perimeter, area, surface area and volume of polygons, circles, prisms, pyramids, cones, cylinders, and spheres Passport to Algebra and PE/TE: 410-411, 587, 745, 756; 170, 174-175, 180, 195, 445, 568, 582-583, 588, 598, 745, 756; 176 Add'l TE: 569, 586, 589 An opportunity to address this standard can be found on the following pages: PE/TE: 11, 790-791; 13-14, 21-22, 29, 177-179 PE/TE: 373, 731, 743, 753, 802; 377, 686, 733, 740, 747, 756, 757, 802; 380, 772 : Concepts and Skills PE/TE: 425, 440, 447, 453, 674; 428, 435, 440, 443, 447, 449, 457, 514, 516, 674, 687; 459, 462-463, 490, 523 PE/TE: 21, 347; 23, 30, 261, 262, 287, 349, 350, 357, 768; 24 DEVELOP AND UNDERSTAND, and use the formula for determining arc length (e.g., portion of a circle) PE/TE: 683-685; 686-689, 824; 698, 709 : Concepts and Skills PE/TE: 603; 604-606, 695; 612, 643 PE/TE: 779, 900, 962, 968; 780, 781, 958, 962, 788, 782, 783 Add'l TE: 778; 783 34
( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) Determine perimeter and area of shapes of circles and polygons (annulus, etc.) in context Passport to Algebra and PE/TE: 568; 585, 611 Add'l TE: 698 PE/TE: 4, 11, 23, 790; 21, 23, 177, 791; 14 PE/TE: 5, 22, 23, 422, 772, 773, 775 776; 6, 7, 772, 773, 775 776 Measurement PE/TE: 51-54, 371, 372-375, 537, 676, 677-678, 683, 685, 690, 691-694, 819; 55-57, 376-379, 539, 679-681, 686-688, 695-698, 8041, 814, 823-824; 62, 78, 85, 235, 380, 384, 689, 708-710, 749, 758, 765 : Concepts and Skills PE/TE: 367, 368, 426, 454 458, 603; 427-429, 455-459, 604 605, 695; 499, 612, 643 PE/TE: 28, 591, 914, 915; 914, 593, 915; 783 35
Measurement ( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) Determine the surface area and volume of a complex figure composed of a combinations of two or more geometric figures or a figure derived from a regular solid (e.g., hemisphere, frustum of a cone) Passport to Algebra and PE/TE: 593; 595, 599 PE/TE: 745, 754; 733, 748, 756-757, 762-764; 758 : Concepts and Skills PE/TE: 498, 504, 506, 522 PE/TE: 557 COMPARE AND CONTRAST THE FORMULAS FOR SURFACE AREA AND VOLUME OF CYLINDERS AND CONES Passport to Algebra and PE/TE: 594 PE/TE: 447, 696; 437 : Concepts and Skills Surface area and volume of cylinders and cones are discussed, but are not compared or contrasted to one another. PE/TE: 493-494, 501-502, 511-512; 496-497, 503, 505, 507, 512-515, 533; 516, 522, 525-527 36
Measurement ( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) DETERMINE A SHAPE THAT HAS MINIMUM OR MAXIMUM PERIMETER, AREA, SURFACE AREA, OR VOLUME UNDER SPECIFIED CONDITIONS Passport to Algebra and PE/TE: 577, 590-591; 579, 583, 595 PE/TE: 56, 750 PE/TE: 549; 550, 551 MAKE AND USE scale drawings and models to solve problems Passport to Algebra and PE/TE: 35, 192-193, 372, 540-543, 603, 752; 195, 375, 539, 544-545, 575, 605, 735, 752; 560 Add'l TE: 373 PE/TE: 645; 641, 647 PE/TE: 631, 637, 734; 697 PE/TE: 460, 467, 474, 482, 490, 506-508, 637, 767-768; 463, 469-470, 475-478, 509-512, 639, 679-681, 769-771; 479, 513, 516, 518, 772, 776 : Concepts and Skills PE/TE: 360, 366-367, 393-395; 362, 363, 368, 369, 370, 396-398 PE/TE: 218, 219, 220 37
( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) CCG: PROPERTIES AND RELATIONSHIPS - Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships DETERMINE DEFINING PROPERTIES THAT CHARACTERIZE CLASSES OF THREE-DIMENSIONAL FIGURES AND THEIR COMPONENT PARTS Passport to Algebra and PE/TE: 571-573; 575, 582, 736; 607 PE/TE: 790-791; 790-791 PE/TE: 11; 13, 447, 696, 714 PE/TE: 719-722, 728, 730, 735, 737, 744, 760; 723-726, 731-732, 746, 825; 774-776 : Concepts and Skills PE/TE: 473-475, 483-486, 491-494, 500-502, 510-512, 517-519; 476-480, 487-490, 495-498, 503-507, 508-509, 513-516, 520-522 PE/TE: 914, 915; 914, 915 38
( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) RECOGNIZE AND REPRESENT THREE-DIMENSIONAL FIGURES AND THEIR COMPONENT PARTS Passport to Algebra and PE/TE: 13, 462, 572-573; 574-575, 582, 736-737; 607 PE/TE: 11; 13, 447, 696, 714 PE/TE: 719-722, 727, 728-730, 735-737, 743-744, 759-760, 766-768; 723-726, 731-733, 738-740, 762,769, 825; 774-776 : Concepts and Skills PE/TE: 473-475; 476-480, 505; 524-528 PE/TE: 914, 915; 914, 915 Justify AND USE THEOREMS INVOLVING THE ANGLES FORMED BY PARALLEL LINES CUT BY A TRANSVERSAL Passport to Algebra and PE/TE: 469-470; 471-473, 732; 483, 506, 613 Add'l TE: 494 PE/TE: 142, 143-145, 150-152, 157-159; 146-148, 153-156, 160-163, 176-177, 808; 149, 163-164, 171, 181-182, 201, 219, 227, 328, 419 : Concepts and Skills PE/TE: 128-131; 132-135, 141, 679; 141 184, 263, 330 PE/TE: 771 39
( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) DEVELOP, UNDERSTAND, and apply properties of circles and of inscribed and circumscribed polygons Passport to Algebra and PE/TE: 564-567; 568-570; 585, 607, 611, 615 Add'l TE: 576, 586 PE/TE: 445 PE/TE: 273-274, 595-598, 603-606, 612, 613-616, 621-623, 628, 629-631, 636-637, 641, 642-644, 670-671, 683-685, 690, 691-694; 275-278, 599-602, 607-611, 616-619, 624-627, 632-634, 638-640, 645-647, 672-675, 686-689, 695-698, 821-822, 824; 620, 627, 635, 647, 650-652, 681 : Concepts and Skills PE/TE: 589-590, 595 597, 601 603, 608 610, 614 616, 620 622; 591-593, 594, 598 600 604 607, 611 612, 613, 617 619, 623 625, 626, 643; 641 643 40
( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) Use measures of sides and of interior and exterior angles of polygons to classify figures and solve problems Passport to Algebra and PE/TE: 478-479, 484-485, 489, 492-495, 546-547, 552-553, 755, 757; 480-482, 486-487, 490-491, 496-497, 499, 548-549, 551, 554-555, 731, 733-734, 736, 755, 757; 483, 550, 559, 561, 613, 615 PE/TE: 738-740, 745-748, 752-754; 741-743, 748-749, 751, 754-757, 773, 808; 744, 750 PE/TE: 772 773; 772 773 PE/TE: 194-197, 210, 236-238, 294, 295-297, 323-324, 329, 330-332, 338-341, 347-350, 356-358, 364-366, 661-664, 669-671, 677; 198-201, 239-242, 298-301, 325-328, 333-337, 342-345, 351-355, 359-363, 367-370, 665-668, 680, 698, 809-810, 812, 813-814, 823; 210, 235, 252, 254, 271, 312, 337, 345-346, 355, 363, 370, 382-384, 410, 471, 572, 611, 640, 668, 708-710 : Concepts and Skills PE/TE: 305, 310 312, 316 319, 417 419; 183 306-308, 309, 313-315, 320 322, 336, 338 340, 343 345, 415 416, 420, 421 423, 685 686; 323, 336, 363, 461 PE/TE: 767, 769-771, 793-794, 914, 915, 918, 932; 772-774, 796-797, 914, 915, 918, 932, 957, 958, 959; 790 41
( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) PROVE CONGRUENCE OF TWO TRIANGLES OR THEIR CORRESPONDING COMPONENT PARTS Passport to Algebra and PE/TE: 516-517; 518-520, 734; 535, 557, 560-561 PE/TE: 202-205, 211, 212-215, 220-222, 228, 229-231, 238; 205-209, 216-219, 223-226, 232-235, 239-241, 246, 248, 809-810; 227, 250, 253-254 : Concepts and Skills PE/TE: 233-235, 241-244, 250-253, 257-259, 264-267; 236-239, 240, 245-248, 253-256, 260-264, 268-271, 683 684; 291-294, 371, 385, 593 PE/TE: 923; 923 42
( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) Determine the measures of corresponding angles, sides, and corresponding part of congruent and similar figures Passport to Algebra and PE/TE: 369, 373, 516-517, 536-537, 542-543; 370-371, 374-375, 380, 490, 518-520, 538-540, 545, 734-735; 381, 404, 535, 557, 559, 561 Add'l TE: 372, 375, 546 PE/TE: 141; 143, 144; 159, 750 PE/TE: 631, 637 638, 734; 697 PE/TE: 202-205, 480-482; 205-209, 211, 240, 483, 485-487, 493, 809, 818; 464, 518, 566, 627, 765 : Concepts and Skills PE/TE: 234, 365-368, 374, 386-389, 393-395; 236, 237, 238, 368-371, 376, 377, 385, 390, 391, 396-397; 378, 445 PE/TE: 923; 923 43
( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) Use angle, side length and triangle inequality relationships to solve problems Passport to Algebra and PE/TE: 95, 175, 192-193, 369, 373, 418-421, 425-427, 430, 446-447, 495, 500-501, 516-517, 536-537, 745; 195, 326, 370-371, 374-375, 380, 428-429, 448-449, 496, 502-503, 518-520, 538-539, 545, 731-732, 736, 745; 201, 381, 404, 431, 457, 507, 509, 613 Add'l TE: 372 PE/TE: 738-740, 745-748, 752-754; 741-743, 748-749, 751, 754-757, 773, 808; 744, 750 PE/TE: 194-197, 236-237, 294, 295-297, 302-304; 198-201, 239-242, 298-301, 305-307, 809-810, 812; 252, 254, 308, 312, 337, 345, 363, 410, 479, 580, 602, 647 : Concepts and Skills PE/TE: 187, 212-214; 188-189, 215-218, 682; 187, 223, 560 PE/TE: 799-802, 807-809, 918, 923; 803-806, 810-812, 918, 923, 958, 959; 861, 874 44
( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) Use trigonometric functions, and angle and side relationships of special right triangles (30-60-right triangles and isosceles right triangles) to solve for an unknown length and determine distances and solve problems Passport to Algebra and PE/TE: 501, 546-547, 551-553; 548-550, 554-555, 736; 615 PE/TE: 724-726; 727-729; 747-750 PE/TE: 550, 551-553, 559-561, 567-569; 554-556, 562-565, 570-572, 820; 566, 583-584, 602, 620 : Concepts and Skills PE/TE: 543, 544, 549-551, 557-560, 563-565, 569-572; 542, 545-547, 552-555, 561-562, 566-568, 573-575, 681, 693-694; 576-580, 619 PE/TE: 769-771, 917, 918; 772-774, 917, 918, 957; 768, 790 INVESTIGATE RELATIONSHIPS AMONG CHORDS, SECANTS, TANGENTS, INSCRIBED ANGLES, AND INSCRIBED AND CIRCUMSCRIBED POLYGONS OF CIRCLES PE/TE: 595-598, 603-606, 612, 613-616, 621-623, 628, 629-631; 599-602, 607-611, 616-619, 624-627, 632-634, 821-822; 620, 627, 635, 647, 650-652, 705 : Concepts and Skills PE/TE: 589 590, 595 597, 608-610, 613-616, 620-622; 591-594, 598-600, 611-612, 617-619, 623-625, 626, 644; 642, 643 Relationships among chords and secants are addressed on the following pages: PE/TE: 591, 632; 593, 637 45
( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) CONSTRUCT AND JUDGE THE VALIDITY OF A LOGICAL ARGUMENT AND GIVE COUNTEREXAMPLES TO DISPROVE A STATEMENT Passport to Algebra and PE/TE: 745; 91, 416, 745 PE/TE: 66, 187, 760; 68, 762 PE/TE: 73, 119, 705 706, 742; 75, 104, 129, 142, 147, 155, 161, 296, 328, 334, 340, 400, 405, 466, 509, 544, 571, 591, 607, 620, 655, 661, 667, 708, 744, 745; 746 See "Proof" and "Logical Reasoning" throughout the text. For examples, see: PE/TE: 4-5, 71-74, 80-81, 87-90, 96-98; 8-9, 75-78, 82-85, 91-94, 99-101, 141, 242, 803, 805-806; 95, 107, 118-120, 163 : Concepts and Skills PE/TE: 8-10, 243-244; 11-13, 20, 117, 140, 217, 336 371, 376, 422, 478, 675; 33 PE/TE: 924-927; 8, 10, 80, 104, 220, 278, 413, 572, 679, 924-928; 56 46
( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) JUSTIFY AND use theorems involving the properties of triangles, quadrilaterals, circles, and their component parts to verify congruence and similarity Passport to Algebra and PE/TE: 369, 516-517, 536-537, 542-543; 370, 518-519, 538-539, 544-545; 381, 557 Add'l TE: 491 PE/TE: 141; 143, 144; 159, 750 PE/TE: 203-205, 212-215, 220-222, 229-231, 236-238, 475, 481, 488-491, 527-528; 205-208, 216-219, 223-226, 232-234, 239-241, 248-249, 476-477, 483-485, 492-494, 531-533, 809-810, 818; 227, 250, 253-254, 513, 517, 765 : Concepts and Skills PE/TE: 243 244, 250-253, 257-259, 265-267; 244, 247 248, 253 256, 260-263, 268-271, 687 688; 291-295, 429 PE/TE: 923; 923 47
( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) CCG: MODELING - Use visualization, spatial reasoning, and geometric modeling to solve problems MODEL, SKETCH, LABEL AND WHERE APPROPRIATE CONSTRUCT CONES AND SPHERES, AND BASIC ELEMENTS OF GEOMETRIC FIGURES (E.G., ALTITUDES, MIDPOINTS, MEDIANS, ANGLE BISECTORS, AND PERPENDICULAR BISECTORS) USING COMPASS AND STRAIGHTEDGE OR TECHNOLOGY Passport to Algebra and PE/TE: 512, 590; 594-595 PE/TE: 12, 34, 36, 104, 110, 130, 159, 213, 228, 231, 264, 272, 281, 286, 294, 329; 14-15, 38-39, 77, 105, 134, 155, 161, 163, 199, 234-235, 268, 275, 283, 290-291, 326-327, 344, 353-354, 361, 533, 547, 731, 811; 156 : Concepts and Skills PE/TE: 143, 331, 517, 594; 66, 141, 199, 272, 279, 308, 324, 340, 385, 392, 449, 515, 523, 546, 567 DESCRIBE HOW TWO OR MORE OBJECTS ARE RELATED IN SPACE (E.G., SKEW LINES, THE POSSIBLE WAYS THREE PLANES MIGHT INTERSECT) PE/TE: 10, 12, 73-74, 79-81, 129, 642-644, 720, 744, 760; 13-16, 76-78, 132, 134, 645-646, 724, 762, 803, 807; 60-61, 94 Add'l TE: 721 : Concepts and Skills PE/TE: 21, 22 24, 108, 109; 21, 25 26, 110-113; 135, 160 PE/TE: 170-172, 177; 173-175, 181-183; 255 48
( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) MAKE A MODEL OF A THREE-DIMENSIONAL FIGURE FROM A TWO-DIMENSIONAL DRAWING AND MAKE A TWO-DIMENSIONAL REPRESENTATION OF A THREE-DIMENSIONAL OBJECT THROUGH SCALE DRAWINGS, PERSPECTIVE DRAWINGS, BLUEPRINTS OR COMPUTER SIMULATIONS Passport to Algebra and PE/TE: 571-573, 576; 549, 574-575, 582-584; 595, 607, 611 Add'l TE: 375 PE/TE: 188-189, 727, 729, 736-737, 751; 188-189, 512, 732-733, 739-740, 757, 760 : Concepts and Skills PE/TE: 102, 103, 481, 483, 484, 485, 508; 488, 489, 497, 515; 528 PE/TE: 194, 195; 195 Recognize representations of three-dimensional objects from different perspectives and identify cross-sections of three-dimensional objects Passport to Algebra and PE/TE: 573, 592, 596; 575, 589, 594, 604, 737; 611, 615 Add'l TE: 566 PE/TE: 720, 744, 760; 724, 762, 764 Add'l TE: 721 : Concepts and Skills PE/TE: 473-475, 483-486, 491-494, 500-502, 510-512, 517-519; 476-480, 487-489, 495, 497, 504, 505-506, 508, 515, 522 An opportunity to address this standard can be found on the following pages: PE/TE: 915-917 49
( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) CCG: COORDINATE GEOMETRY - Specify locations and describe spatial relationships using coordinate geometry and other representational systems Determine the relative placement (e.g., intersecting, parallel, perpendicular) of two lines on a coordinate plane given the algebraic equations representing them Passport to Algebra and PE/TE: 623, 635; 624-625, 636 Add'l TE: 641 PE/TE: 242, 246, 280, 286, 404; 246, 276, 312; 424 PE/TE: 245, 306-308, 386-391, 417-419; 247, 248, 309-312, 392-395, 415-416, 420-422; 454, 468, 474, 531 Add'l TE: 266E, 266F PE/TE: 165-167, 172-174; 168, 171, 175-177, 808; 178, 182, 242, 278, 284, 635 : Concepts and Skills PE/TE: 667; 667 PE/TE: 77; 79, 80, 941; 175, 573 50
( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) Calculate slope, distance and midpoint between points with an emphasis on practical applications (USE COORDINATE FORMULAS) Passport to Algebra and PE/TE: 633-634, 640, 656-657; 635-638, 644-645, 658-659, 738-739; 639 PE/TE: 226-228, 745-748; 230-232, 748-750, 808; 764 PE/TE: 230-232, 730-732, 736-737; 233-235, 733-735, 737, 738, 739, 745; 259-262, 747-750 Add'l TE: 688E, 688F PE/TE: 19-20, 35, 165-167, 172-174; 22-24, 38-39, 41, 124-125, 168-171, 175-177, 803-804, 808; 32, 42, 61, 124-125, 178, 182 : Concepts and Skills PE/TE: 30, 55, 193, 194, 289, 665; 31, 32, 33, 56 59, 195, 197, 211, 289, 665, 677, 682; 73, 87, 221, 299, 315, 516, 600 PE/TE: 75, 78, 589-591; 80, 81, 592-594, 953; 600, 607, 657 51
( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) CCG: TRANSFORMATIONS AND SYMMETRY - Apply transformations and use symmetry to analyze mathematical situations Use coordinate geometry to determine whether a figure is symmetrical with respect to a line or a point Passport to Algebra and PE/TE: 522-523; 524-525; 535, 561 An opportunity to address this standard can be found on the following pages: PE/TE: 404, 406, 414-415; 407-409, 416-418; 446 : Concepts and Skills PE/TE: 283, 635, 640; 286, 287, 289, 637-638, 696; 645 Add'l TE: 290 PE/TE: 919, 920, 921, 922; 213, 919, 920, 921, 922; 206 52
( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) Determine whether a given pair of figures on a coordinate plane represent a translation, reflection, rotation and/or dilation Passport to Algebra and PE/TE: 758; 533, 734-735; 558 PE/TE: 518 PE/TE: 429, 430-432, 437-439; 433-435, 440-443, 815-816; 448, 505, 765 : Concepts and Skills PE/TE: 153, 154, 283, 635; 155-158, 286, 287, 289, 637-638 640, 684, 696; 159, 163, 645, 680 An opportunity to address this standard can be found on the following pages: PE/TE: 921, 922; 213, 921, 922; 206 Determine the image of a figure on a coordinate graph under translations, reflections, and rotations Passport to Algebra and PE/TE: 522-523, 530-531, 537; 524-525, 529, 532-533, 539, 734; 558, 614 PE/TE: 395, 396-398, 403, 404-406, 411, 412-415, 421-424, 429, 430-432; 399-402, 407-410, 416-419, 425-427, 433-436, 441, 443, 815-816; 420, 428, 436, 444, 446-448, 620, 635 : Concepts and Skills PE/TE: 153, 154, 283, 635; 155-158, 281, 286, 287, 289, 399, 637, 639, 680; 159, 178, 280, 632, 680 PE/TE: 919, 920, 921, 922; 919, 920, 921, 922; 206 53
( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) Given a figure and its image on a coordinate graph, determine the translation vector or locate the axis of reflection Passport to Algebra and PE/TE: 522, 530; 524-525, 532-533, 735; 535, 558, 561 PE/TE: 518 PE/TE: 404, 423-424; 408, 425-427, 433-434, 815-816; 447 : Concepts and Skills PE/TE: 153 154, 282, 283; 155 156, 286, 289; 297 An opportunity to address this standard can be found on the following page: PE/TE: 921; 921 Determine the coordinates of AND DRAW the dilation of a figure on a coordinate graph Passport to Algebra and PE/TE: 537; 539; 558 PE/TE: 507; 509-510, 818 : Concepts and Skills PE/TE: 399 PE/TE: 922; 922 54
( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) Analyze the congruence, similarity, and line or rotational symmetry of figures using transformations Passport to Algebra and PE/TE: 522-523, 527, 530, 536-537; 525, 528-529, 538-540, 758; 535 PE/TE: 631, 637, 734 PE/TE: 395, 396-398, 403, 411, 412-415; 399-401, 409, 416-418 : Concepts and Skills PE/TE: 52-154, 281-285, 393-395, 399, 633, 640; 155-158, 286-289, 396-397, 636-640, 680; 163, 295, 403, 645 PE/TE: 919, 920, 921, 922; 919, 920, 921, 922 55
Mathematical Problem Solving Foundations These standards are assessed using the Mathematics Problem Solving Scoring Guide in grades 3 -. The Oregon Department of Education is working with school districts to determine the grade at which the state math problem solving assessments must occur in order to comply with new federal law. ( in regular (non-capitalized) font are eligible for inclusion on Oregon Statewide Assessment) CCG: CONCEPTUAL UNDERSTANDING - Select, apply, and translate among mathematical representations to solve problems. Interpret the concepts of a problem-solving task and translate them into mathematics Passport to Algebra and See "Projects," "Open-ended problems," and "Communicating About Math" throughout: PE/TE: For example, 1, 35, 49, 54, 87, 103, 113, 155, 187, 203, 235, 253, 268, 309, 361, 401, 409, 459, 511, 563, 579, 617, 667, 670 See "Communication: Writing," "Extension exercises," and "Projects" throughout: PE/TE: For example, 14, 113, 119, 178, 187-188, 198-199, 260, 284, 321, 373, 392-393, 437, 482, 559, 570-571, 602, 668, 714, 757, 774-775 See "Developing Concepts activities," "Extension exercises," and "Communication: Writing" throughout: PE/TE: For example, 22-23, 120, 154, 199, 209, 242, 276-277, 305, 329, 354, 385, 415, 423, 441-442, 475, 518-519, 546, 563, 567, 574, 594, 602, 691, 715, 722-723 See "Communication: Writing," "Extension exercises," and "Projects" throughout: PE/TE: For example, 86, 101, 135, 148, 188-189, 209, 211,294, 316-317, 329, 379, 395, 429, 452-453, 470, 514, 550, 572, 628, 681, 690, 727, 751 See "Communication: Writing," "Critical Thinking," and "Projects" throughout: PE/TE: For example, 24, 105, 183, 194-195, 213, 336, 396-397, 484, 507, 584-585, 614, 751, 764-765, 805, 892-893 56