McDougal Littell High School Math Program. correlated to. Oregon Mathematics Grade-Level Standards

Size: px
Start display at page:

Download "McDougal Littell High School Math Program. correlated to. Oregon Mathematics Grade-Level Standards"

Transcription

1 Math Program correlated to Grade-Level

2 ( 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; , , 283, , , , 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, , , 770; 68-70, 167, , , 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: PE/TE: , , 569, 804; 491, 524, 538, 602 PE/TE: , 790; , 790; 491, 510, 561 1

3 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: , ; 282, , 730; 431, 451 Add'l TE: 283 PE/TE: 65-67, 71, 500; 68-70, ; 504, 767 : Concepts and Skills PE/TE: , , 655, 657, 663; 445, , 523, 547, 655, 657, 663; 593 PE/TE: 3; 7 Add'l TE: 6, 10 2

4 ( 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, , 114, 275, 415, 425, 748; , 112, 313, 416, 730; 116, 130, 152, 451, 454, 457 Add'l TE: 115, 117, 142, 432 PE/TE: 63-65, 72, , 355, , ; 67, 75, 337, , 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

5 ( 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: , , , , , , 351, , , , , ; , 291, , , , , , , , , , , 430, , ; 302, 334, 349, 380, 407, 452 Add'l TE: 350, 414 PE/TE: , , 678, ; 103, , 662, , , 785; 516, 675, 689 PE/TE: 165, , ; 167, , ; 106, 149, 193, 215, 347, 430, 474, 638, 657, 669, 739 PE/TE: , , , 482, , 785; , , , , , , 785, 817; , 479, 487, : Concepts and Skills PE/TE: , 674; 458, 674 PE/TE: 325, 907; , 907 4

6 ( 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, , , , , , 137, , 289, 292, , , , , , , 753 PE/TE: 65-66, ; 68, , 804; 85, 125, 495, 497, 524, 538, 602 PE/TE: 10-11, 15-17, 78-80, 86-88, 93-95, , , , ; 18-20, 74, 81-83, 89-91, 96-98, , 354, , , 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, , 325, 913; 50-52, , 325, 913; 98, 113, 120, 206, 221, 344, 638 5

7 ( 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, , , , , , , 567, 590, 593, , 750, 755; 12-13, 15, 18-19, 41, , 282, , , , , , , , , , , 726, , 750; 20, 36, 42, 44, 152, 299, 431, 457, 600, 613, 615, 701 Add'l TE: 586 PE/TE: 9-11, 16, , , ; 12-15, 19, 21, , , , 804, 805; 22, 455, 461, 469 PE/TE: 9-11, , , , , , , ; 12-14, , , , , , , , , 748; 56, 553, 747, 751 PE/TE: , 542, , , 568, , 729, 731, , , , , , ; 258, , , , , 565, , , , , , , , , 803, ; 258, , 541, 549, 580, , 749, 758, 772, , : Concepts and Skills PE/TE: 167, , , 424, , , , 502, , , , 668, 669; 167, , , , , 503, , , 519, , 572, 668, 669, 681, 694; xxiv, 190, 249, 256, 398, 463, 467, 525, 541, 593 PE/TE: 11-13, 264, , ; 14-16, , , 638, 947 6

8 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: , 790; , 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, , , ; 7, 215, 303, 334, , 544, ; 83, 316, 468, 729, 775 PE/TE: 18, 145, 164, 375, 460, 467, 472, 491, 508, 530, 537, 561, 569, 631, , , 771, 783; 22-23, 31, 378, 408, , 470, 486, 494, 504, 511, 5323, 540, 555, , 571, 632, 634, , 762, 764, 771, 784; 516, 765 : Concepts and Skills PE/TE: 537; 538, 539, 541 PE/TE: 36, 368, 748, ; 606, ,

9 ( 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, , , 425, , 430; , 416, , 429; 431, 457 PE/TE: 458, 472, 478, 504, 506; 474, 481, PE/TE: , 513; ; 553 PE/TE: 466, 530, 537, 553, 560, 735, 745, ; 532, , 555, , 747, , 799, 825; 566, 758, 772, 774 : Concepts and Skills PE/TE: 537, 668, 669; , 541, 668, 669 PE/TE: , , , 440; , Calculations and Estimations 8

10 ( 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; , 510, 777 PE/TE: 949 Use the inverse operations of nth power and nth root to solve problems AND CHECK SOLUTIONS PE/TE: , ; , , 805; 531 PE/TE: , , ; , , , ; 553, 748, 749 PE/TE: , , 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: , 436, , 494, 512, 537, 549, , 668; , 437, , , 539, , 668; 579 PE/TE: , , ; 287, , ; 280, 328, 336, 458 Calculations and Estimations 9

11 ( 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, , 178; 54-55, 58-59, 63, 68, 122, , 717, 722, 732, 741; 70, 97, 198 Add'l TE: 351; 60, 66 PE/TE: 73-74, , ; 75-76, 96-97, 99, , 582, 757, 798 PE/TE: 79-80, 94, 95, , 575, 740; 81-83, 96-98, , 574, 578; 123, 125, 126, 573 PE/TE: 96-97, 787, 798; , 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

12 ( 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, ; 81, 97, ; 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

13 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: , 964; , 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, Add'l TE: 619, 648 PE/TE: , 209, ; , 423, , , 801; 617, 682 PE/TE: 109, 226, 236, 238, 285, 298, 300, 391, 398, 409, 483, 672, 700, 780; 111, 227, 240, 289, 290, , 400, 412, , 675, 702, 780; 249, 379, 412 PE/TE: , 107, , ; , 309, 310, 311, , 516;

14 ( 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; ,730; 405 PE/TE: 675 PE/TE: ; , 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: , ; , , 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: ; , 345, 454, 468, 675; 120, 596 PE/TE: ; , 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; , 957; 775,

15 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: , 745, 760; , 400, 730, 745, 760; 457, 613 Add'l TE: 398, 401 PE/TE: , 788, 789; , 789 PE/TE: , , 966; , , 956, 966; 715, 722, 729,

16 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: , ; 244, 400; 405 Add'l TE: 401 PE/TE: ; , 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, , 649, , , ; 210, , , , , , 724; 247, 307, 647, 687 PE/TE: 86-88, 209, 368, 370, , 382, 792, 793; 89-92, 170, 185, 209, , , 382, 798, 802; 381, 546 PE/TE: 205, 777; 207, 257, 779 PE/TE: , 202, 207, 210, 232, 321, , 934, 935, 936; , , 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: ; , 957;

17 ( 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, , ; , 679, 724, 740; 247, 307, 687, 710, 713 Add'l TE: 680 PE/TE: 209, 368, 370, , 382, 792, 793; 185, 209, 371, 373, , 382, 792, 793; 381, 546 PE/TE: 205, 777, 779; 207, 257, 777, 779 PE/TE: , 321, 448, , 740, 741; , 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; , 379 PE/TE: 477; 480, 486; 492 Statistics and Probability PE/TE: 748; 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

18 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, , , 643, 648; 151, , , , , 651, 738; 639 Add'l TE: 652 PE/TE: 315; 315 PE/TE: 48-50, , 350, , , , , ; 1, 22, 51-54, 75, , 352, , 461, 475, 480, 486, , ; 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: , , , 669, , 687, 688; 71, 72, 655, 663, 665, , , 956; 673, 686,

19 ( 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, , , , , 391, , , , , 602, , 744; , , 744 PE/TE: ; 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, , 141, 150, 191, 386, 392, 399, 439, 594, 613, 626; 43, 46, 675 PE/TE: ; 690 Algebraic Relationships 18

20 ( 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, ; 145, , , 630, , ; 151, 639, 661 Add'l TE: 619, 634, 648 PE/TE: , 768; 749, 756, 808 Algebraic Relationships PE/TE: 49, 50, , , 478, ; 51, 53, , 248, 256, , 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; : Concepts and Skills PE/TE: 666; , 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, ; 116, 117, 195, , 459, ; 58, 517 PE/TE: 67-70; 71-73,

21 ( 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: , , 492, , , 550, , 606, 613, , ; , , 492, , , 552, , 616, 623, , 805; 553, 595, 736 PE/TE: , 461, 475, , , 528, , 590, 598, 605, 612, 718; , , , , 530, , 544, , 607, 614, ; 347, 517, 522 PE/TE: 730, , , 750, , , , 797; , , , , , 770, 797, ; 523, 741, 749, 758, 772, , PE/TE: , , , , ; , , , , , 949, 950; 479, 539, 560, 607 Use graphs to solve non-linear equations, including quadratics PE/TE: 479, , 492, ; 476, , , 492, , 804, 805; 595, 736 PE/TE: , , , 590; , 524, , 592; 490, 555 An oppotunity to address this standard can be found on the following pages: PE/TE: 637; , 821 PE/TE: 271; 271, 945; 371,

22 ( 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: , 404, ; 397, , 404, 425, , 803; 431 PE/TE: , 395, , 411, ; , , , , ; 435 PE/TE: 796; 796 : Concepts and Skills PE/TE: 667; 667; 583 PE/TE: , ; , 943; 155, 213, 229, 269, 298, 312, 358, 508 Algebraic Relationships 21

23 ( 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, , , ; 54-55, 58-59, 63, , 122, 621, , 701, , 717, , 741; 70, 76, 86, 97, 100, 130, 152, 166, 305, 662 Add'l TE: 60, 123, 163 PE/TE: , ; 99, , , , 629, 806; 596, 602 PE/TE: 15-17, , , , 337, 499, , , , , , , 740; 18-21, 99, , , , , , , , , , ; 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, ; 101, 167, 599, ; 499, 541, 562, 632 PE/TE: 13, 26-28, ; 14, 15, 29, 30, 31, , 940; 24, 81 22

24 ( 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, , , , , , 580, 592, 619, , ; 24-25, 33-34, 39-40, 53, 57-59, 81, 117, 121, , 145, 175, , , , , , 582, , 621, , 645, , 691, , 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, , , , , 254, , 501, 533; 6-7, 12-13, 18, 27-28, 97, 111, 209, , , 234, 239, 256, , 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, , , , , 444, , , , , , , , , 665, 670, 674; 125, 49, 56-57, 323, , PE/TE: 12, 13, 26, 27; 56, 14-15, 74, 29;

25 ( 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: , , ; , , , 804, 805; 538, 553, 595 PE/TE: , 461, 475, , , , , ; , , , , , PE/TE: , , ; , , , 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: , , , ; , 497, , , PE/TE: 794; 794 PE/TE: 252, , 259, 285, 290; 254, 255, 260, 261, 287, 288, 289, 946; 80, 328, 334, 336, 358, 365, 444 Algebraic Relationships 24

26 ( 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: ; , 739 PE/TE: , 367; , 367, 802; 366 PE/TE: , 374, ; , ; 378, 379, 401, 422, 474, 539, 545 PE/TE: ; , 942; 155, 221, 263, 289, 298 GRAPH QUADRATIC AND EXPONENTIAL EQUATIONS PE/TE: 458, 479, , , 532, 534; , , 525, , 804, 805; 538, 553, 560 PE/TE: , , , , , 542, 544; , , , ; 493 PE/TE: , , ; , , , 945, 950; 263, 328, 371, 429, 516, 539, 560, 594, 607 Algebraic Relationships 25

27 ( 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, ; 523 PE/TE: 484, 518, 519, 542; 487, 493, 523, 544 PE/TE: 249, 250, ; 254, 255, 469, 470, 471, Algebraic Relationships 26

28 ( 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: , , , ; , , , 645, , 739; 626, 639, 661 Algebraic Relationships Found throughout the text. See, for example: PE/TE: 147, 212, 252, 258, , 281, 302, 307, 310, , , ; , 216, , , , 304, , , , , 801, 804, 805; 322, 326, 602 PE/TE: 49 50, 218, , , 398, , , , 524, 528, 535, 542, 590, 598, 605, 612, 700; 51, 209, , , 400, 413, 421, 487, 493, 497, 525, , , 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, ; 14-16, 37-39, 71, 72, 73, 254, 255, , ; 120, 168, 351, 358, 365, 539,

29 ( 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: ; , 805; 617 Algebraic Relationships PE/TE: 49 50, 218, , , 398, , , , 524, 528, 535, 542, 590, 598, 605, 612, 700; 51, 209, , , 400, 413, 421, 487, 493, 497, 525, , , 544, 592, 607, 634, 702, 720; 249, 261, 379, 492, 557 : Concepts and Skills PE/TE: 3-4; 5 7 PE/TE: 253,

30 ( 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, , ; 637, ; 639, 662, 664 Add'l TE: 625, 638 Found throughout the text. See, for example: PE/TE: , , , , ; , 237, , , , 802; 284, 291 PE/TE: , 243, 245, ; , 247, , 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, , 107; 79, 80, 96, 97, ; 106, 255 Algebraic Relationships 29

31 ( 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, , 483, , ; , , , 804, 805, 806; 538, 553 PE/TE: , 461, , ; 289, , 475, , , 488; 490 : Concepts and Skills PE/TE: 3-4, 665; 5-7, 665 PE/TE: , , ; , , , 945, 950; 263, 328, 371, 539, 594, 607 Algebraic Relationships 30

32 ( 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: 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, ; 219 : Concepts and Skills PE/TE: 28, 360; 32, 363, 503 Measurement 31

33 ( 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; , 637, 734; 366, 697, 802 PE/TE: 457; 390, 461, 469, 817; 390 : Concepts and Skills PE/TE: 227; 227 PE/TE: 6, ; 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

34 ( 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: , 596; , , 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: , ; , , ; 758, 772, : Concepts and Skills PE/TE: 493, 494, 511, 512, ; , , , ; 499, 507, 516, 524, 525, 526, 527, 562, 575 PE/TE: 72, 327, 413, 968 Add'l TE: 328 Measurement 33

35 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: , 587, 745, 756; 170, , 180, 195, 445, 568, , 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, ; 13-14, 21-22, 29, 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, , 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: ; , 824; 698, 709 : Concepts and Skills PE/TE: 603; , 695; 612, 643 PE/TE: 779, 900, 962, 968; 780, 781, 958, 962, 788, 782, 783 Add'l TE: 778;

36 ( 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, ; 6, 7, 772, 773, Measurement PE/TE: 51-54, 371, , 537, 676, , 683, 685, 690, , 819; 55-57, , 539, , , , 8041, 814, ; 62, 78, 85, 235, 380, 384, 689, , 749, 758, 765 : Concepts and Skills PE/TE: 367, 368, 426, , 603; , , , 695; 499, 612, 643 PE/TE: 28, 591, 914, 915; 914, 593, 915;

37 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, , ; 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: , , ; , 503, 505, 507, , 533; 516, 522,

38 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, ; 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, , 372, , 603, 752; 195, 375, 539, , 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, , 637, ; 463, , , , 639, , ; 479, 513, 516, 518, 772, 776 : Concepts and Skills PE/TE: 360, , ; 362, 363, 368, 369, 370, PE/TE: 218, 219,

39 ( 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: ; 575, 582, 736; 607 PE/TE: ; PE/TE: 11; 13, 447, 696, 714 PE/TE: , 728, 730, 735, 737, 744, 760; , , 746, 825; : Concepts and Skills PE/TE: , , , , , ; , , , , , , PE/TE: 914, 915; 914,

40 ( 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, ; , 582, ; 607 PE/TE: 11; 13, 447, 696, 714 PE/TE: , 727, , , , , ; , , , 762,769, 825; : Concepts and Skills PE/TE: ; , 505; 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: ; , 732; 483, 506, 613 Add'l TE: 494 PE/TE: 142, , , ; , , , , 808; 149, , 171, , 201, 219, 227, 328, 419 : Concepts and Skills PE/TE: ; , 141, 679; , 263, 330 PE/TE:

41 ( 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: ; ; 585, 607, 611, 615 Add'l TE: 576, 586 PE/TE: 445 PE/TE: , , , 612, , , 628, , , 641, , , , 690, ; , , , , , , , , , , , , 824; 620, 627, 635, 647, , 681 : Concepts and Skills PE/TE: , , , , , ; , 594, , , 613, , , 626, 643;

42 ( 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: , , 489, , , , 755, 757; , , , , 499, , 551, , 731, , 736, 755, 757; 483, 550, 559, 561, 613, 615 PE/TE: , , ; , , 751, , 773, 808; 744, 750 PE/TE: ; PE/TE: , 210, , 294, , , 329, , , , , , , , 677; , , , , , , , , , , 680, 698, , 812, , 823; 210, 235, 252, 254, 271, 312, 337, , 355, 363, 370, , 410, 471, 572, 611, 640, 668, : Concepts and Skills PE/TE: 305, , , ; , 309, , , 336, , , , 420, , ; 323, 336, 363, 461 PE/TE: 767, , , 914, 915, 918, 932; , , 914, 915, 918, 932, 957, 958, 959;

43 ( 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: ; , 734; 535, 557, PE/TE: , 211, , , 228, , 238; , , , , , 246, 248, ; 227, 250, : Concepts and Skills PE/TE: , , , , ; , 240, , , , , ; , 371, 385, 593 PE/TE: 923;

44 ( 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, , , ; , , 380, 490, , , 545, ; 381, 404, 535, 557, 559, 561 Add'l TE: 372, 375, 546 PE/TE: 141; 143, 144; 159, 750 PE/TE: 631, , 734; 697 PE/TE: , ; , 211, 240, 483, , 493, 809, 818; 464, 518, 566, 627, 765 : Concepts and Skills PE/TE: 234, , 374, , ; 236, 237, 238, , 376, 377, 385, 390, 391, ; 378, 445 PE/TE: 923;

45 ( 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, , 369, 373, , , 430, , 495, , , , 745; 195, 326, , , 380, , , 496, , , , 545, , 736, 745; 201, 381, 404, 431, 457, 507, 509, 613 Add'l TE: 372 PE/TE: , , ; , , 751, , 773, 808; 744, 750 PE/TE: , , 294, , ; , , , , , 812; 252, 254, 308, 312, 337, 345, 363, 410, 479, 580, 602, 647 : Concepts and Skills PE/TE: 187, ; , , 682; 187, 223, 560 PE/TE: , , 918, 923; , , 918, 923, 958, 959; 861,

46 ( 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, , ; , , 736; 615 PE/TE: ; ; PE/TE: 550, , , ; , , , 820; 566, , 602, 620 : Concepts and Skills PE/TE: 543, 544, , , , ; 542, , , , , , 681, ; , 619 PE/TE: , 917, 918; , 917, 918, 957; 768, 790 INVESTIGATE RELATIONSHIPS AMONG CHORDS, SECANTS, TANGENTS, INSCRIBED ANGLES, AND INSCRIBED AND CIRCUMSCRIBED POLYGONS OF CIRCLES PE/TE: , , 612, , , 628, ; , , , , , ; 620, 627, 635, 647, , 705 : Concepts and Skills PE/TE: , , , , ; , , , , , 626, 644; 642, 643 Relationships among chords and secants are addressed on the following pages: PE/TE: 591, 632; 593,

47 ( 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, , 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, , 141, 242, 803, ; 95, 107, , 163 : Concepts and Skills PE/TE: 8-10, ; 11-13, 20, 117, 140, 217, , 376, 422, 478, 675; 33 PE/TE: ; 8, 10, 80, 104, 220, 278, 413, 572, 679, ; 56 46

48 ( 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, , , ; 370, , , ; 381, 557 Add'l TE: 491 PE/TE: 141; 143, 144; 159, 750 PE/TE: , , , , , 475, 481, , ; , , , , , , , , , , , 818; 227, 250, , 513, 517, 765 : Concepts and Skills PE/TE: , , , ; 244, , , , , ; , 429 PE/TE: 923;

49 ( 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; 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, , 268, 275, 283, , , 344, , 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, , 720, 744, 760; 13-16, 76-78, 132, 134, , 724, 762, 803, 807; 60-61, 94 Add'l TE: 721 : Concepts and Skills PE/TE: 21, 22 24, 108, 109; 21, 25 26, ; 135, 160 PE/TE: , 177; , ;

50 ( 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: , 576; 549, , ; 595, 607, 611 Add'l TE: 375 PE/TE: , 727, 729, , 751; , 512, , , 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: , , , , , ; , , 495, 497, 504, , 508, 515, 522 An opportunity to address this standard can be found on the following pages: PE/TE:

51 ( 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; , 636 Add'l TE: 641 PE/TE: 242, 246, 280, 286, 404; 246, 276, 312; 424 PE/TE: 245, , , ; 247, 248, , , , ; 454, 468, 474, 531 Add'l TE: 266E, 266F PE/TE: , ; 168, 171, , 808; 178, 182, 242, 278, 284, 635 : Concepts and Skills PE/TE: 667; 667 PE/TE: 77; 79, 80, 941; 175,

52 ( 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: , 640, ; , , , ; 639 PE/TE: , ; , , 808; 764 PE/TE: , , ; , , 737, 738, 739, 745; , Add'l TE: 688E, 688F PE/TE: 19-20, 35, , ; 22-24, 38-39, 41, , , , , 808; 32, 42, 61, , 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, ; 80, 81, , 953; 600, 607,

53 ( 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: ; ; 535, 561 An opportunity to address this standard can be found on the following pages: PE/TE: 404, 406, ; , ; 446 : Concepts and Skills PE/TE: 283, 635, 640; 286, 287, 289, , 696; 645 Add'l TE: 290 PE/TE: 919, 920, 921, 922; 213, 919, 920, 921, 922;

54 ( 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, ; 558 PE/TE: 518 PE/TE: 429, , ; , , ; 448, 505, 765 : Concepts and Skills PE/TE: 153, 154, 283, 635; , 286, 287, 289, , 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: , , 537; , 529, , 539, 734; 558, 614 PE/TE: 395, , 403, , 411, , , 429, ; , , , , , 441, 443, ; 420, 428, 436, 444, , 620, 635 : Concepts and Skills PE/TE: 153, 154, 283, 635; , 281, 286, 287, 289, 399, 637, 639, 680; 159, 178, 280, 632, 680 PE/TE: 919, 920, 921, 922; 919, 920, 921, 922;

55 ( 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; , , 735; 535, 558, 561 PE/TE: 518 PE/TE: 404, ; 408, , , ; 447 : Concepts and Skills PE/TE: , 282, 283; , 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; , 818 : Concepts and Skills PE/TE: 399 PE/TE: 922;

56 ( 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: , 527, 530, ; 525, , , 758; 535 PE/TE: 631, 637, 734 PE/TE: 395, , 403, 411, ; , 409, : Concepts and Skills PE/TE: , , , 399, 633, 640; , , , , 680; 163, 295, 403, 645 PE/TE: 919, 920, 921, 922; 919, 920, 921,

57 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, , , 260, 284, 321, 373, , 437, 482, 559, , 602, 668, 714, 757, See "Developing Concepts activities," "Extension exercises," and "Communication: Writing" throughout: PE/TE: For example, 22-23, 120, 154, 199, 209, 242, , 305, 329, 354, 385, 415, 423, , 475, , 546, 563, 567, 574, 594, 602, 691, 715, See "Communication: Writing," "Extension exercises," and "Projects" throughout: PE/TE: For example, 86, 101, 135, 148, , 209, 211,294, , 329, 379, 395, 429, , 470, 514, 550, 572, 628, 681, 690, 727, 751 See "Communication: Writing," "Critical Thinking," and "Projects" throughout: PE/TE: For example, 24, 105, 183, , 213, 336, , 484, 507, , 614, 751, , 805,

correlated to the Massachussetts Learning Standards for Geometry C14

correlated to the Massachussetts Learning Standards for Geometry C14 correlated to the Massachussetts Learning Standards for Geometry C14 12/2003 2004 McDougal Littell Geometry 2004 correlated to the Massachussetts Learning Standards for Geometry Note: The parentheses at

More information

Georgia Quality Core Curriculum

Georgia Quality Core Curriculum correlated to the Grade 8 Georgia Quality Core Curriculum McDougal Littell 3/2000 Objective (Cite Numbers) M.8.1 Component Strand/Course Content Standard All Strands: Problem Solving; Algebra; Computation

More information

Grade 6 correlated to Illinois Learning Standards for Mathematics

Grade 6 correlated to Illinois Learning Standards for Mathematics STATE Goal 6: Demonstrate and apply a knowledge and sense of numbers, including numeration and operations (addition, subtraction, multiplication, division), patterns, ratios and proportions. A. Demonstrate

More information

MISSOURI S FRAMEWORK FOR CURRICULAR DEVELOPMENT IN MATH TOPIC I: PROBLEM SOLVING

MISSOURI S FRAMEWORK FOR CURRICULAR DEVELOPMENT IN MATH TOPIC I: PROBLEM SOLVING Prentice Hall Mathematics:,, 2004 Missouri s Framework for Curricular Development in Mathematics (Grades 9-12) TOPIC I: PROBLEM SOLVING 1. Problem-solving strategies such as organizing data, drawing a

More information

Curriculum Guide for Pre-Algebra

Curriculum Guide for Pre-Algebra Unit 1: Variable, Expressions, & Integers 2 Weeks PA: 1, 2, 3, 9 Where did Math originate? Why is Math possible? What should we expect as we use Math? How should we use Math? What is the purpose of using

More information

Grade 7 Math Connects Suggested Course Outline for Schooling at Home 132 lessons

Grade 7 Math Connects Suggested Course Outline for Schooling at Home 132 lessons Grade 7 Math Connects Suggested Course Outline for Schooling at Home 132 lessons I. Introduction: (1 day) Look at p. 1 in the textbook with your child and learn how to use the math book effectively. DO:

More information

Houghton Mifflin MATHEMATICS

Houghton Mifflin MATHEMATICS 2002 for Mathematics Assessment NUMBER/COMPUTATION Concepts Students will describe properties of, give examples of, and apply to real-world or mathematical situations: MA-E-1.1.1 Whole numbers (0 to 100,000,000),

More information

Grade 6 Math Connects Suggested Course Outline for Schooling at Home

Grade 6 Math Connects Suggested Course Outline for Schooling at Home Grade 6 Math Connects Suggested Course Outline for Schooling at Home I. Introduction: (1 day) Look at p. 1 in the textbook with your child and learn how to use the math book effectively. DO: Scavenger

More information

SUMMARY COMPARISON of 6 th grade Math texts approved for 2007 local Texas adoption

SUMMARY COMPARISON of 6 th grade Math texts approved for 2007 local Texas adoption How much do these texts stress... reinventing more efficiently memorized? calculator dependence over mental training? estimation over exact answers? ; develops concepts incrementally suggested for 34 problems,

More information

Segment 2 Exam Review #1

Segment 2 Exam Review #1 Segment 2 Exam Review #1 High School Mathematics for College Readiness (Segment 2) / Math for College Readiness V15 (Mr. Snyder) Student Name/ID: 1. Factor. 2. Factor. 3. Solve. (If there is more than

More information

Content Area Variations of Academic Language

Content Area Variations of Academic Language Academic Expressions for Interpreting in Language Arts 1. It really means because 2. The is a metaphor for 3. It wasn t literal; that s the author s way of describing how 4. The author was trying to teach

More information

Geometry Standard Lesson Plan Overview

Geometry Standard Lesson Plan Overview Geometry Standard Lesson Plan Overview This Standard Lesson Plan allocates 90 days for each semester. Test Packet, supplementary material to the Student Text and Teacher s Edition Teacher s Toolkit CD,

More information

End of the year test day 2 #3

End of the year test day 2 #3 End of the year test day 2 #3 8th Grade Pre-Algebra / 8th Grade Math Periods 2 & 3 (Ms. Schmalzbach) Student Name/ID: 1. For the figure below, do a dilation centered at the origin with a scale factor of

More information

Midterm Review Part 1 #4

Midterm Review Part 1 #4 Midterm Review Part 1 #4 Intermediate Algebra / MAT135 S2014 sec 042 (Prof. Fleischner) Student Name/ID: 1. Solve for. 2. Solve for. 3. A Web music store offers two versions of a popular song. The size

More information

Macmillan/McGraw-Hill SCIENCE: A CLOSER LOOK 2011, Grade 4 Correlated with Common Core State Standards, Grade 4

Macmillan/McGraw-Hill SCIENCE: A CLOSER LOOK 2011, Grade 4 Correlated with Common Core State Standards, Grade 4 Macmillan/McGraw-Hill SCIENCE: A CLOSER LOOK 2011, Grade 4 Common Core State Standards for Literacy in History/Social Studies, Science, and Technical Subjects, Grades K-5 English Language Arts Standards»

More information

Macmillan/McGraw-Hill SCIENCE: A CLOSER LOOK 2011, Grade 3 Correlated with Common Core State Standards, Grade 3

Macmillan/McGraw-Hill SCIENCE: A CLOSER LOOK 2011, Grade 3 Correlated with Common Core State Standards, Grade 3 Macmillan/McGraw-Hill SCIENCE: A CLOSER LOOK 2011, Grade 3 Common Core State Standards for Literacy in History/Social Studies, Science, and Technical Subjects, Grades K-5 English Language Arts Standards»

More information

Six Sigma Prof. Dr. T. P. Bagchi Department of Management Indian Institute of Technology, Kharagpur

Six Sigma Prof. Dr. T. P. Bagchi Department of Management Indian Institute of Technology, Kharagpur Six Sigma Prof. Dr. T. P. Bagchi Department of Management Indian Institute of Technology, Kharagpur Lecture No. #05 Review of Probability and Statistics I Good afternoon, it is Tapan Bagchi again. I have

More information

Midterm Review. Intermediate Algebra / MAT135 S2014 test (Mr. Porter)

Midterm Review. Intermediate Algebra / MAT135 S2014 test (Mr. Porter) Midterm Review Intermediate Algebra / MAT135 S2014 test (Mr. Porter) Student Name/ID: 1. Solve for. 2. Solve for. 3. At the city museum, child admission is and adult admission is. On Wednesday, tickets

More information

Final Exam (PRACTICE-2) #2

Final Exam (PRACTICE-2) #2 Final Exam (PRACTICE-2) #2 Basic Math / FND M020 FA 14 10404-10N30FD04-Nap (Prof. Abdon) Student Name/ID: 1. Estimate by first rounding each number to the nearest hundred. 2. Give the digits in the thousands

More information

Macmillan/McGraw-Hill SCIENCE: A CLOSER LOOK 2011, Grade 1 Correlated with Common Core State Standards, Grade 1

Macmillan/McGraw-Hill SCIENCE: A CLOSER LOOK 2011, Grade 1 Correlated with Common Core State Standards, Grade 1 Macmillan/McGraw-Hill SCIENCE: A CLOSER LOOK 2011, Grade 1 Common Core State Standards for Literacy in History/Social Studies, Science, and Technical Subjects, Grades K-5 English Language Arts Standards»

More information

SEVENTH GRADE RELIGION

SEVENTH GRADE RELIGION SEVENTH GRADE RELIGION will learn nature, origin and role of the sacraments in the life of the church. will learn to appreciate and enter more fully into the sacramental life of the church. THE CREED ~

More information

The Kindergarten Experience at St. Vincent de Paul School. Kindergarten Curriculum

The Kindergarten Experience at St. Vincent de Paul School. Kindergarten Curriculum The Kindergarten Experience at St. Vincent de Paul School Kindergarten Curriculum Cooking curriculum for tasting new things Nativity Play Journey to the Cross parade Holy Week Friday centers with special

More information

Saint Bartholomew School Third Grade Curriculum Guide. Language Arts. Writing

Saint Bartholomew School Third Grade Curriculum Guide. Language Arts. Writing Language Arts Reading (Literature) Locate and respond to key details Determine the message or moral in a folktale, fable, or myth Describe the qualities and actions of a character Differentiate between

More information

Introduction to Statistical Hypothesis Testing Prof. Arun K Tangirala Department of Chemical Engineering Indian Institute of Technology, Madras

Introduction to Statistical Hypothesis Testing Prof. Arun K Tangirala Department of Chemical Engineering Indian Institute of Technology, Madras Introduction to Statistical Hypothesis Testing Prof. Arun K Tangirala Department of Chemical Engineering Indian Institute of Technology, Madras Lecture 09 Basics of Hypothesis Testing Hello friends, welcome

More information

=EQUALS= Center for. A Club of Investigation and Discovery. Published by: autosocratic PRESS Copyright 2011 Michael Lee Round

=EQUALS= Center for. A Club of Investigation and Discovery. Published by: autosocratic PRESS   Copyright 2011 Michael Lee Round 1 2 =EQUALS= A Club of Investigation and Discovery Published by: autosocratic PRESS www.rationalsys.com Copyright 2011 Michael Lee Round All rights reserved. No part of this book may be reproduced or utilized

More information

Math Matters: Why Do I Need To Know This? 1 Logic Understanding the English language

Math Matters: Why Do I Need To Know This? 1 Logic Understanding the English language Math Matters: Why Do I Need To Know This? Bruce Kessler, Department of Mathematics Western Kentucky University Episode Two 1 Logic Understanding the English language Objective: To introduce the concept

More information

FOURTH GRADE. WE LIVE AS CHRISTIANS ~ Your child recognizes that the Holy Spirit gives us life and that the Holy Spirit gives us gifts.

FOURTH GRADE. WE LIVE AS CHRISTIANS ~ Your child recognizes that the Holy Spirit gives us life and that the Holy Spirit gives us gifts. FOURTH GRADE RELIGION LIVING AS CATHOLIC CHRISTIANS ~ Your child recognizes that Jesus preached the Good News. understands the meaning of the Kingdom of God. knows virtues of Faith, Hope, Love. recognizes

More information

I thought I should expand this population approach somewhat: P t = P0e is the equation which describes population growth.

I thought I should expand this population approach somewhat: P t = P0e is the equation which describes population growth. I thought I should expand this population approach somewhat: P t = P0e is the equation which describes population growth. To head off the most common objections:! This does take into account the death

More information

4th Grade Curriculum Map. Subject August/September October November Language Arts

4th Grade Curriculum Map. Subject August/September October November Language Arts 4th Grade Curriculum Map Subject August/September October November Language Arts Story Structure Summarizing Author s Viewpoint Predict/Infer Text Organization Noting Details Multiple Meaning Words Base

More information

Probability Foundations for Electrical Engineers Prof. Krishna Jagannathan Department of Electrical Engineering Indian Institute of Technology, Madras

Probability Foundations for Electrical Engineers Prof. Krishna Jagannathan Department of Electrical Engineering Indian Institute of Technology, Madras Probability Foundations for Electrical Engineers Prof. Krishna Jagannathan Department of Electrical Engineering Indian Institute of Technology, Madras Lecture - 1 Introduction Welcome, this is Probability

More information

ADAIR COUNTY SCHOOL DISTRICT GRADE 03 REPORT CARD Page 1 of 5

ADAIR COUNTY SCHOOL DISTRICT GRADE 03 REPORT CARD Page 1 of 5 ADAIR COUNTY SCHOOL DISTRICT GRADE 03 REPORT CARD 2013-2014 Page 1 of 5 Student: School: Teacher: ATTENDANCE 1ST 9 2ND 9 Days Present Days Absent Periods Tardy Academic Performance Level for Standards-Based

More information

6.041SC Probabilistic Systems Analysis and Applied Probability, Fall 2013 Transcript Lecture 21

6.041SC Probabilistic Systems Analysis and Applied Probability, Fall 2013 Transcript Lecture 21 6.041SC Probabilistic Systems Analysis and Applied Probability, Fall 2013 Transcript Lecture 21 The following content is provided under a Creative Commons license. Your support will help MIT OpenCourseWare

More information

occasions (2) occasions (5.5) occasions (10) occasions (15.5) occasions (22) occasions (28)

occasions (2) occasions (5.5) occasions (10) occasions (15.5) occasions (22) occasions (28) 1 Simulation Appendix Validity Concerns with Multiplying Items Defined by Binned Counts: An Application to a Quantity-Frequency Measure of Alcohol Use By James S. McGinley and Patrick J. Curran This appendix

More information

PHIL 155: The Scientific Method, Part 1: Naïve Inductivism. January 14, 2013

PHIL 155: The Scientific Method, Part 1: Naïve Inductivism. January 14, 2013 PHIL 155: The Scientific Method, Part 1: Naïve Inductivism January 14, 2013 Outline 1 Science in Action: An Example 2 Naïve Inductivism 3 Hempel s Model of Scientific Investigation Semmelweis Investigations

More information

Community Roots: Freckle Juice-Freckle Juice project. Study Trip-Liberty Square. Guest Speakers-Molly and Patti,

Community Roots: Freckle Juice-Freckle Juice project. Study Trip-Liberty Square. Guest Speakers-Molly and Patti, Community Roots: Freckle Juice-Freckle Juice project Study Trip-Liberty Square Guest Speakers-Molly and Patti, Science Standards: Use quantitative and qualitative data as support for reasonable explanation.

More information

Math 10 Lesson 1 4 Answers

Math 10 Lesson 1 4 Answers Math 10 Lesson 1 Answers Lesson Questions Question 1 When we calculate the radical, radicals that are rational numbers result in a rational number while radicals that are irrational result in an irrational

More information

G.CO.C.9: Inverse, Converse, Contrapositive and Conditional Statements 1b

G.CO.C.9: Inverse, Converse, Contrapositive and Conditional Statements 1b Regents Exam Questions Name: www.jmap.org 1 What is the inverse of the statement If two triangles are not similar, their corresponding angles are not congruent? 2 What is the inverse of the statement If

More information

Math 11 Final Exam Review Part 3 #1

Math 11 Final Exam Review Part 3 #1 Math 11 Final Exam Review Part 3 #1 College Algebra / Math 11 RCC Fall 2011 #48794 (Prof. Chiek) Student Name/ID: 1. For each point in the table below, decide whether it is on Line 1, Line 2, both, or

More information

Studying Adaptive Learning Efficacy using Propensity Score Matching

Studying Adaptive Learning Efficacy using Propensity Score Matching Studying Adaptive Learning Efficacy using Propensity Score Matching Shirin Mojarad 1, Alfred Essa 1, Shahin Mojarad 1, Ryan S. Baker 2 McGraw-Hill Education 1, University of Pennsylvania 2 {shirin.mojarad,

More information

Final Exam (PRACTICE-3) #3

Final Exam (PRACTICE-3) #3 Final Exam (PRACTICE-3) #3 Basic Math / FND M020 FA 14 10404-10N30FD04-Nap (Prof. Abdon) Student Name/ID: 1. Dale went to a store and bought items. Each item cost How much did he spend? 2. Estimate by

More information

PROSPECTIVE TEACHERS UNDERSTANDING OF PROOF: WHAT IF THE TRUTH SET OF AN OPEN SENTENCE IS BROADER THAN THAT COVERED BY THE PROOF?

PROSPECTIVE TEACHERS UNDERSTANDING OF PROOF: WHAT IF THE TRUTH SET OF AN OPEN SENTENCE IS BROADER THAN THAT COVERED BY THE PROOF? PROSPECTIVE TEACHERS UNDERSTANDING OF PROOF: WHAT IF THE TRUTH SET OF AN OPEN SENTENCE IS BROADER THAN THAT COVERED BY THE PROOF? Andreas J. Stylianides*, Gabriel J. Stylianides*, & George N. Philippou**

More information

ANGELS SPECIALIST SCHOOL INTERNATIONAL SCHEME OF WORK FOR MATHEMATICS (TERM 2) GRADE 3

ANGELS SPECIALIST SCHOOL INTERNATIONAL SCHEME OF WORK FOR MATHEMATICS (TERM 2) GRADE 3 ANGELS SPECIALIST SCHOOL INTERNATIONAL SCHEME OF WORK FOR MATHEMATICS (TERM 2) GRADE 3 Week Topics Objectives 1&2. Review - Use the = sign to represent equality e.g. 75+25=95+5 Multiplication and Division

More information

Introduction to Inference

Introduction to Inference Introduction to Inference Confidence Intervals for Proportions 1 On the one hand, we can make a general claim with 100% confidence, but it usually isn t very useful; on the other hand, we can also make

More information

Final Exam (PRACTICE-1) #1

Final Exam (PRACTICE-1) #1 Final Exam (PRACTICE-1) #1 Basic Math / FND M020 FA 14 10404-10N30FD04-Nap (Prof. Abdon) Student Name/ID: 1. There are basketball fans who plan to go to a game. How many buses will be needed, given that

More information

Artificial Intelligence I

Artificial Intelligence I Artificial Intelligence I Matthew Huntbach, Dept of Computer Science, Queen Mary and Westfield College, London, UK E 4NS. Email: mmh@dcs.qmw.ac.uk. Notes may be used with the permission of the author.

More information

Vision Statement of Catholic Education in the Archdiocese of St. Louis

Vision Statement of Catholic Education in the Archdiocese of St. Louis Vision Statement of Catholic Education in the Archdiocese of St. Louis Catholic elementary schools in the Archdiocese of St. Louis reflect a visible faith community. Rooted in the teachings of Jesus, these

More information

1.2. What is said: propositions

1.2. What is said: propositions 1.2. What is said: propositions 1.2.0. Overview In 1.1.5, we saw the close relation between two properties of a deductive inference: (i) it is a transition from premises to conclusion that is free of any

More information

4181 ( 10.5), = 625 ( 11.2), = 125 ( 13). 311 PPO, p Cf. also: All the errors that have been made in this chapter of the

4181 ( 10.5), = 625 ( 11.2), = 125 ( 13). 311 PPO, p Cf. also: All the errors that have been made in this chapter of the 122 Wittgenstein s later writings 14. Mathematics We have seen in previous chapters that mathematical statements are paradigmatic cases of internal relations. 310 And indeed, the core in Wittgenstein s

More information

ORDINAL GENESIS 1:1/JOHN 1:1 TRIANGLE (Part 1)

ORDINAL GENESIS 1:1/JOHN 1:1 TRIANGLE (Part 1) ORDINAL GENESIS 1:1/JOHN 1:1 TRIANGLE (Part 1) ORDINAL GENESIS 1:1/JOHN 1:1 TRIANGLE (Part 1) By Leo Tavares Several researchers have pointed out how the STANDARD numerical values of Genesis 1:1/John 1:1

More information

COPYRIGHTED MATERIAL. Many centuries ago, in ancient Alexandria, an old man had to bury his son. Diophantus

COPYRIGHTED MATERIAL. Many centuries ago, in ancient Alexandria, an old man had to bury his son. Diophantus 1 This Tomb Holds Diophantus Many centuries ago, in ancient Alexandria, an old man had to bury his son. Heartbroken, the man distracted himself by assembling a large collection of algebra problems and

More information

Torah Code Cluster Probabilities

Torah Code Cluster Probabilities Torah Code Cluster Probabilities Robert M. Haralick Computer Science Graduate Center City University of New York 365 Fifth Avenue New York, NY 006 haralick@netscape.net Introduction In this note we analyze

More information

Rational and Irrational Numbers 2

Rational and Irrational Numbers 2 CONCEPT DEVELOPMENT Mathematics Assessment Project CLASSROOM CHALLENGES A Formative Assessment Lesson Rational and Irrational Numbers 2 Mathematics Assessment Resource Service University of Nottingham

More information

Discussion Notes for Bayesian Reasoning

Discussion Notes for Bayesian Reasoning Discussion Notes for Bayesian Reasoning Ivan Phillips - http://www.meetup.com/the-chicago-philosophy-meetup/events/163873962/ Bayes Theorem tells us how we ought to update our beliefs in a set of predefined

More information

NPTEL NPTEL ONINE CERTIFICATION COURSE. Introduction to Machine Learning. Lecture-59 Ensemble Methods- Bagging,Committee Machines and Stacking

NPTEL NPTEL ONINE CERTIFICATION COURSE. Introduction to Machine Learning. Lecture-59 Ensemble Methods- Bagging,Committee Machines and Stacking NPTEL NPTEL ONINE CERTIFICATION COURSE Introduction to Machine Learning Lecture-59 Ensemble Methods- Bagging,Committee Machines and Stacking Prof. Balaraman Ravindran Computer Science and Engineering Indian

More information

Computational Learning Theory: Agnostic Learning

Computational Learning Theory: Agnostic Learning Computational Learning Theory: Agnostic Learning Machine Learning Fall 2018 Slides based on material from Dan Roth, Avrim Blum, Tom Mitchell and others 1 This lecture: Computational Learning Theory The

More information

PAGE(S) WHERE TAUGHT (If submission is not a book, cite appropriate location(s))

PAGE(S) WHERE TAUGHT (If submission is not a book, cite appropriate location(s)) Prentice Hall Literature: Timeless Voices, Timeless Themes 2005, Bronze Level Washington Reading Grade Level Expectations and Writing EALRs Reading Grade 7 In seventh grade, students are aware of their

More information

1. Introduction Formal deductive logic Overview

1. Introduction Formal deductive logic Overview 1. Introduction 1.1. Formal deductive logic 1.1.0. Overview In this course we will study reasoning, but we will study only certain aspects of reasoning and study them only from one perspective. The special

More information

Prentice Hall World Geography: Building A Global Perspective 2003 Correlated to: Colorado Model Content Standards for Geography (Grade 9-12)

Prentice Hall World Geography: Building A Global Perspective 2003 Correlated to: Colorado Model Content Standards for Geography (Grade 9-12) Prentice Hall World Geography: Building A Global Perspective 2003 : Colorado Model Content Standards for Geography (Grade 9-12) STANDARD 1: STUDENTS KNOW HOW TO USE AND CONSTRUCT MAPS, GLOBES, AND OTHER

More information

VICTORIA LODGE OF EDUCATION AND RESEARCH 650 Fisgard Street, Victoria, B.C. V8W 1R

VICTORIA LODGE OF EDUCATION AND RESEARCH 650 Fisgard Street, Victoria, B.C. V8W 1R VICTORIA LODGE OF EDUCATION AND RESEARCH 650 Fisgard Street, Victoria, B.C. V8W 1R6 1994-6 The appreciation of the Victoria Lodge of Education and Research is extended to the Author and to the Holden Research

More information

Office for Schools. Curriculum Guide Grade 5

Office for Schools. Curriculum Guide Grade 5 Office for Schools Curriculum Guide Grade 5 What is a Curriculum Guide? Academic excellence is a hallmark of Catholic schools in the Archdiocese of Milwaukee. To assist schools in maintaining academic

More information

Semantic Entailment and Natural Deduction

Semantic Entailment and Natural Deduction Semantic Entailment and Natural Deduction Alice Gao Lecture 6, September 26, 2017 Entailment 1/55 Learning goals Semantic entailment Define semantic entailment. Explain subtleties of semantic entailment.

More information

TRUTH CHRISTIAN ACADEMY Man shall not live by bread alone but by every word that proceeds from the mouth of God. Matt. 4:4

TRUTH CHRISTIAN ACADEMY Man shall not live by bread alone but by every word that proceeds from the mouth of God. Matt. 4:4 TRUTH CHRISTIAN ACADEMY Man shall not live by bread alone but by every word that proceeds from the mouth of God. Matt. 4:4 SEVENTH AND EIGHTH GRADE Objectives for Language Arts By the end of the language

More information

Artificial Intelligence Prof. Deepak Khemani Department of Computer Science and Engineering Indian Institute of Technology, Madras

Artificial Intelligence Prof. Deepak Khemani Department of Computer Science and Engineering Indian Institute of Technology, Madras (Refer Slide Time: 00:26) Artificial Intelligence Prof. Deepak Khemani Department of Computer Science and Engineering Indian Institute of Technology, Madras Lecture - 06 State Space Search Intro So, today

More information

MATH 1000 PROJECT IDEAS

MATH 1000 PROJECT IDEAS MATH 1000 PROJECT IDEAS (1) Birthday Paradox (TAKEN): This question was briefly mentioned in Chapter 13: How many people must be in a room before there is a greater than 50% chance that some pair of people

More information

Houghton Mifflin English 2004 Houghton Mifflin Company Grade Five. correlated to. TerraNova, Second Edition Level 15

Houghton Mifflin English 2004 Houghton Mifflin Company Grade Five. correlated to. TerraNova, Second Edition Level 15 Houghton Mifflin English 2004 Houghton Mifflin Company Grade Five correlated to TerraNova, Second Edition Level 15 01 Oral Comprehension Demonstrate both literal and interpretive understanding of passages

More information

Prentice Hall Literature: Timeless Voices, Timeless Themes, Bronze Level '2002 Correlated to: Oregon Language Arts Content Standards (Grade 7)

Prentice Hall Literature: Timeless Voices, Timeless Themes, Bronze Level '2002 Correlated to: Oregon Language Arts Content Standards (Grade 7) Prentice Hall Literature: Timeless Voices, Timeless Themes, Bronze Level '2002 Oregon Language Arts Content Standards (Grade 7) ENGLISH READING: Comprehend a variety of printed materials. Recognize, pronounce,

More information

St. Matthew Catholic School. 6 th Grade Curriculum Overview

St. Matthew Catholic School. 6 th Grade Curriculum Overview St. Matthew Catholic School 6 th Grade Curriculum Overview 6 th Grade Religion Textbook on ipad: Sadlier - We Believe Love of God for his people is woven throughout history and in our world today The Liturgical

More information

Introduction Symbolic Logic

Introduction Symbolic Logic An Introduction to Symbolic Logic Copyright 2006 by Terence Parsons all rights reserved CONTENTS Chapter One Sentential Logic with 'if' and 'not' 1 SYMBOLIC NOTATION 2 MEANINGS OF THE SYMBOLIC NOTATION

More information

Probability Distributions TEACHER NOTES MATH NSPIRED

Probability Distributions TEACHER NOTES MATH NSPIRED Math Objectives Students will compare the distribution of a discrete sample space to distributions of randomly selected outcomes from that sample space. Students will identify the structure that emerges

More information

GURU TEG BAHADUR PUBLIC SCHOOL SYLLABUS FOR SESSION ( ) CLASS - VII English

GURU TEG BAHADUR PUBLIC SCHOOL SYLLABUS FOR SESSION ( ) CLASS - VII English GURU TEG BAHADUR PUBLIC SCHOOL SYLLABUS FOR SESSION (2015-2016) CLASS - VII English Summative Assessment - I LITERATURE BOOK: New! Learning to communicate 1. A true story about Ladybugs (Prose) 2. Adolf

More information

Chapter 2 Science as a Way of Knowing: Critical Thinking about the Environment

Chapter 2 Science as a Way of Knowing: Critical Thinking about the Environment Chapter 2 Science as a Way of Knowing: Critical Thinking about the Environment Understanding What Science Is Scientific understanding of life and its environment is based on scientific method. Science

More information

POSTSCRIPT A PREAMBLE

POSTSCRIPT A PREAMBLE THE POSTSCRIPT A PREAMBLE The transmission of reliable information from one person to another, from one place to another and from one generation to another has ever been a necessary feature of the human

More information

The City School Syllabus Outline for Parents Class 6

The City School Syllabus Outline for Parents Class 6 English Oxford Progressive English Unit 1, 5 and 7 Dialogue writing, Making a comic strip, Letter writing (informal), News report Matilda: Recap of the previous chapters from term I, 11-13 Oxford Progressive

More information

QCAA Study of Religion 2019 v1.1 General Senior Syllabus

QCAA Study of Religion 2019 v1.1 General Senior Syllabus QCAA Study of Religion 2019 v1.1 General Senior Syllabus Considerations supporting the development of Learning Intentions, Success Criteria, Feedback & Reporting Where are Syllabus objectives taught (in

More information

The Decline of the Traditional Church Choir: The Impact on the Church and Society. Dr Arthur Saunders

The Decline of the Traditional Church Choir: The Impact on the Church and Society. Dr Arthur Saunders The Decline of the Traditional Church Choir: The Impact on the Church and Society Introduction Dr Arthur Saunders Although Christianity is growing in most parts of the world, its mainstream denominations

More information

The SAT Essay: An Argument-Centered Strategy

The SAT Essay: An Argument-Centered Strategy The SAT Essay: An Argument-Centered Strategy Overview Taking an argument-centered approach to preparing for and to writing the SAT Essay may seem like a no-brainer. After all, the prompt, which is always

More information

This report is organized in four sections. The first section discusses the sample design. The next

This report is organized in four sections. The first section discusses the sample design. The next 2 This report is organized in four sections. The first section discusses the sample design. The next section describes data collection and fielding. The final two sections address weighting procedures

More information

Prentice Hall Literature: Timeless Voices, Timeless Themes, Silver Level '2002 Correlated to: Oregon Language Arts Content Standards (Grade 8)

Prentice Hall Literature: Timeless Voices, Timeless Themes, Silver Level '2002 Correlated to: Oregon Language Arts Content Standards (Grade 8) Prentice Hall Literature: Timeless Voices, Timeless Themes, Silver Level '2002 Oregon Language Arts Content Standards (Grade 8) ENGLISH READING: Comprehend a variety of printed materials. Recognize, pronounce,

More information

2.1 Review. 2.2 Inference and justifications

2.1 Review. 2.2 Inference and justifications Applied Logic Lecture 2: Evidence Semantics for Intuitionistic Propositional Logic Formal logic and evidence CS 4860 Fall 2012 Tuesday, August 28, 2012 2.1 Review The purpose of logic is to make reasoning

More information

Flatland. Assignment: There are 3 parts to this assignment. Each part will be weighted for your final grade.

Flatland. Assignment: There are 3 parts to this assignment. Each part will be weighted for your final grade. Flatland PAP Geometry 3 rd Six-Weeks Project Objective: Explore the use of geometry in literature and in theology. Important Note!! Although the Dover edition subtitles this book A Romance of Many Dimensions,

More information

StoryTown Reading/Language Arts Grade 2

StoryTown Reading/Language Arts Grade 2 Phonemic Awareness, Word Recognition and Fluency 1. Identify rhyming words with the same or different spelling patterns. 2. Read regularly spelled multi-syllable words by sight. 3. Blend phonemes (sounds)

More information

The Problem of the External World

The Problem of the External World The Problem of the External World External World Skepticism Consider this painting by Rene Magritte: Is there a tree outside? External World Skepticism Many people have thought that humans are like this

More information

Houghton Mifflin English 2004 Houghton Mifflin Company Grade Six. correlated to. TerraNova, Second Edition Level 16

Houghton Mifflin English 2004 Houghton Mifflin Company Grade Six. correlated to. TerraNova, Second Edition Level 16 Houghton Mifflin English 2004 Houghton Mifflin Company Grade Six correlated to TerraNova, Second Edition Level 16 01 Oral Comprehension Demonstrate both literal and interpretive understanding of passages

More information

FE Review (G7_Geometry) #3

FE Review (G7_Geometry) #3 FE Review (G7_Geometry) #3 Basic Math / FND M010 FA 14 10396-10N20FD02-Nap (Prof. Abdon) Student Name/ID: 1. Find the perimeter of the following polygon. Be sure to include the correct unit in your answer.

More information

Introduction to Deductive and Inductive Thinking 2017

Introduction to Deductive and Inductive Thinking 2017 Topic 1: READING AND INTERVENING by Ian Hawkins. Introductory i The Philosophy of Natural Science 1. CONCEPTS OF REALITY? 1.1 What? 1.2 How? 1.3 Why? 1.4 Understand various views. 4. Reality comprises

More information

Examiners Report: Honour Moderations in Mathematics and Philosophy 2005

Examiners Report: Honour Moderations in Mathematics and Philosophy 2005 Examiners Report: Honour Moderations in Mathematics and Philosophy 2005 1 Part I A. STATISTICS (1) Numbers and percentages in each class/category Number Percentages % 2004/5 2003/4 2002/3 2004/5 2003/4

More information

Quiz2_Practice2 #2. Basic Math / FND M020 SP N30FFD05-NAP (Prof. Abdon)

Quiz2_Practice2 #2. Basic Math / FND M020 SP N30FFD05-NAP (Prof. Abdon) Quiz2_Practice2 #2 Basic Math / FND M020 SP15 22610-10N30FFD05-NAP (Prof. Abdon) Student Name/ID: 1. The price of an item yesterday was Today, the price rose to Find the percentage increase. 2. Mai buys

More information

PHILOSOPHIES OF SCIENTIFIC TESTING

PHILOSOPHIES OF SCIENTIFIC TESTING PHILOSOPHIES OF SCIENTIFIC TESTING By John Bloore Internet Encyclopdia of Philosophy, written by John Wttersten, http://www.iep.utm.edu/cr-ratio/#h7 Carl Gustav Hempel (1905 1997) Known for Deductive-Nomological

More information

THE GOD/MAN TRIANGLE OF JESUS CHRIST. THE IMAGE OF GOD (Part 1) > THE IMAGE OF GOD (Part 2) By Leo Tavares

THE GOD/MAN TRIANGLE OF JESUS CHRIST. THE IMAGE OF GOD (Part 1) > THE IMAGE OF GOD (Part 2) By Leo Tavares THE IMAGE OF GOD (Part 1) > THE IMAGE OF GOD (Part 2) THE IMAGE OF GOD (Part 2) By Leo Tavares The Bible teaches that man was created in the image of God. In Part 1, I showed how the Standard/Ordinal values

More information

Introducing Our New Faculty

Introducing Our New Faculty Dr. Isidoro Talavera Franklin University, Philosophy Ph.D. in Philosophy - Vanderbilt University M.A. in Philosophy - Vanderbilt University M.A. in Philosophy - University of Missouri M.S.E. in Math Education

More information

Finite Mathematics And Calculus With Applications 9th Edition By Lial Greenwell Ritchey

Finite Mathematics And Calculus With Applications 9th Edition By Lial Greenwell Ritchey Finite Mathematics And Calculus With Applications 9th Edition By Lial Greenwell Ritchey FINITE MATHEMATICS AND CALCULUS WITH APPLICATIONS 9TH EDITION BY LIAL GREENWELL RITCHEY PDF - Are you looking for

More information

Philosophy Epistemology Topic 5 The Justification of Induction 1. Hume s Skeptical Challenge to Induction

Philosophy Epistemology Topic 5 The Justification of Induction 1. Hume s Skeptical Challenge to Induction Philosophy 5340 - Epistemology Topic 5 The Justification of Induction 1. Hume s Skeptical Challenge to Induction In the section entitled Sceptical Doubts Concerning the Operations of the Understanding

More information

College and Career Readiness Anchor Standards for Reading. Step Into the Time 36 Step Into the Place 92, 108, 174, 292, 430

College and Career Readiness Anchor Standards for Reading. Step Into the Time 36 Step Into the Place 92, 108, 174, 292, 430 World History and Geography: Modern Times Correlated to Common Core State Standards for Literacy in History/Social Studies, Science, and Technical Subjects College and Career Readiness Anchor Standards

More information

6.041SC Probabilistic Systems Analysis and Applied Probability, Fall 2013 Transcript Lecture 3

6.041SC Probabilistic Systems Analysis and Applied Probability, Fall 2013 Transcript Lecture 3 6.041SC Probabilistic Systems Analysis and Applied Probability, Fall 2013 Transcript Lecture 3 The following content is provided under a Creative Commons license. Your support will help MIT OpenCourseWare

More information

Proof as a cluster concept in mathematical practice. Keith Weber Rutgers University

Proof as a cluster concept in mathematical practice. Keith Weber Rutgers University Proof as a cluster concept in mathematical practice Keith Weber Rutgers University Approaches for defining proof In the philosophy of mathematics, there are two approaches to defining proof: Logical or

More information

(Also, how to do it right, and MOST IMPORTANTLY, how to tell the difference!)

(Also, how to do it right, and MOST IMPORTANTLY, how to tell the difference!) (Also, how to do it right, and MOST IMPORTANTLY, how to tell the difference!) How does Statistics and Graphical Displays (truthful or not) matter in a computer science class??? Data and information are

More information

The way we convince people is generally to refer to sufficiently many things that they already know are correct.

The way we convince people is generally to refer to sufficiently many things that they already know are correct. Theorem A Theorem is a valid deduction. One of the key activities in higher mathematics is identifying whether or not a deduction is actually a theorem and then trying to convince other people that you

More information

PROBABILITY DISTRIBUTIONSOF THE VERSES, WORDS, AND LETTERS OF THE HOLY QURAN

PROBABILITY DISTRIBUTIONSOF THE VERSES, WORDS, AND LETTERS OF THE HOLY QURAN International Journal of Mathematics and Computer Applications Research (IJMCAR) ISSN 2249-6955 Vol.2, Issue 3 Sep 2012 27-34 TJPRC Pvt. Ltd., PROBABILITY DISTRIBUTIONSOF THE VERSES, WORDS, AND LETTERS

More information

INTERMEDIATE LOGIC Glossary of key terms

INTERMEDIATE LOGIC Glossary of key terms 1 GLOSSARY INTERMEDIATE LOGIC BY JAMES B. NANCE INTERMEDIATE LOGIC Glossary of key terms This glossary includes terms that are defined in the text in the lesson and on the page noted. It does not include

More information

How many imputations do you need? A two stage calculation using a quadratic rule

How many imputations do you need? A two stage calculation using a quadratic rule Sociological Methods and Research, in press 2018 How many imputations do you need? A two stage calculation using a quadratic rule Paul T. von Hippel University of Texas, Austin Abstract 0F When using multiple

More information