correlated to the Oklahoma Priority Academic Student Skills Mathematics Content and Process Standards

Transcription

1 correlated to the Oklahoma Priority Academic Student Skills Mathematics Content and Process Standards CC2 7/2003

2 CONTENTS Introduction and Components List...i McDougal Littell Middle School Math, Course 3 correlated to the Oklahoma Priority Academic Student Skills Content Standards Grade McDougal Littell Middle School Math, Course 3 correlated to the Oklahoma Priority Academic Student Skills Process Standards Grades

3 Introduction to McDougal Littell Middle School Math The McDougal Littell Middle School Math series offers a highly differentiated program at each grade level. The mathematics addresses standards and assessment and includes integrated technology. The text features clear step-by-step presentations of math concepts and skills that enable students and parents to read and understand the book. Worked-out examples that are correlated to the exercises are included, and lesson developments and activities that focus on problem solving strategies help students build conceptual understanding. McDougal Littell Middle School Math also features built-in guidance in the text and in the supporting materials on how to take notes, what to include in your notes, and how to review or study for a test. The text and ancillary materials address the needs of students studying independently, absent students, new teachers, and parents by providing support for both in-class and at-home learning. Special Features Chapter Openers Through the use of easy to play games and real-life applications, the chapter openers review skills needed for the upcoming chapter. Extension questions are provided to that the students understand what the mathematical focus of the game is and how it relates to previously learned material. Before, Now, Why? This feature looks at what prior knowledge is needed to begin the chapter/lesson, lists what will be learned in the chapter/lesson, and provides real world connections that will be studied in the lessons. Notetaking Strand Notetaking techniques are modeled to provide teaching guidance for this important skill. Within the lessons, additional notetaking examples are integrated to continually show the students how to take good notes and to remind them to write new concepts in their notebooks. Watch Out Girl This unique character offers additional support by alerting students to common mathematical errors in an eye-catching way. Problem Solving Strategies Student learn to use one problem-solving method at a time through stepped out examples and related practice. Building Test Taking Skills This unique feature gives opportunity for students to express what they have learned and models how to format their responses to test questions. Teachers are supported by a wealth of ancillary materials. A complete listing of all program components is provided on the following page. i

4 McDougal Littell Middle School Math Components Pupil s Edition Teacher s Edition Teacher s Resource Package Chapter Resource Books 1 13 Assessment Book Worked-Out Solution Key Practice Workbook, Teacher s Edition Notetaking Guide, Teacher s Edition Warm-up Transparencies and Daily Homework Quiz Professional Development Book Poster Package Special Activities Book Additional Resources Practice Workbook Level B, Pupil s Edition Notetaking Guide, Pupil s Edition Tutor Place Manipulative Kit Overhead Manipulative Kit Transparencies: Answer Transparencies for Checking Homework English-Spanish Problem Solving Transparencies Notetaking Guide Transparencies Technology: eedition CD-ROM eedition Plus Online eworkbook Plus Online etutorial CD-ROM etutorial Plus Online Test and Practice Generator CD-ROM Power Presentations CD-ROM Easy Planner CD-ROM Easy Planner Plus Online Chapter Audio Summaries in English/Spanish/Haitian Creole World Languages Resources English-Spanish Chapter Reviews and Tests Multi-Language Visual Glossary Spanish Study Guide Exercises in Spanish ii

5 McDougal Littell Middle School Math, Course 3 correlated to the Oklahoma Priority Academic Student Skills Mathematics Content Standards Grade 8 Note: Asterisks (*) have been used to identify standards and objectives that must be assessed by the local school district. All other skills may be assessed by the Oklahoma School Testing Program (OSTP). Standard 1: Algebraic Reasoning The student will graph and solve linear equations and inequalities in problem solving situations. 1. Equations a. Model, write, and solve 2 step linear equations using a variety of methods. PE/TE: , , 131, 139 (#44), (#19 29), 154, 155, 162 (#25 26), , , , , 294 (#41 43), 299 (#44 46), 308, 309 (#17 19), 310, 311, 341 (#35 37), 346 (#33 34), 350 (#31 32), 369 (#19 20), 370 (#25), 389 (#27 29), , , 561, 563, , 574 (#36 42), , , 587 (#38), , 591, 592, 593, 600 (#24), 604 (#20 22), 609 (#23 25), 677 (#32 34), 684 (#44), 695 (#6), 702 (#96 105), 732, 737 TE Only: 382 PWB: 35 36, 37 38, 77 78, 79 80, 81 82, , , , b. Graph and interpret the solution to linear equations on a number line with one variable and on a coordinate plane with two variables. PE/TE: , 561, 563, , , , 587 (#38), , 591, 592 (#13 15), 593 (#5 6), 600 (#24), 604 (#20 22), 609 (#23 25), 677 (#32 34), 696 (#5 6), 702 (#96 103, 105), 737 TE Only: 583 PWB: , , c. Predict the effect on the graph of a linear equation when the slope changes (e.g., make predictions from graphs, identify the slope in the equation y = mx + b and relate to a graph). PE/TE: , , , , 587 (#39), , 591 (#19 23), 593 (#4 5), 600 (#24), 604 (#20 22), 622 (#24 26), 636 (#30 32), 696 (#6 7), 702 (# ), 737 (#26 37) PWB: , Selected exercises, examples, etc. are referenced in parentheses, otherwise entire page is applicable. 1

6 Oklahoma Priority Academic Student Skills: Mathematics Content Standards, Grade 8 2. Inequalities a. Model, write, and solve 1 step and 2 step linear inequalities with one variable. PE/TE: , , , 153 (#37 42), 154 (#17 21), 155 (#7, 9), 159 (#13), 162 (#28 29, 31), 172 (#54 56), 294 (#37 40), , 300, , , 309 (#25 34), 310 (#16 24), 311 (#3, 8, 11), 320 (#38), 326 (#36), 335 (#59 60), 350 (#33), 366 (#4), 369 (#22), 370 (#23), 580 (#28 29), 699 (#32 35), 700 (#64 65), 729 (#25 32), 732 (#23 34) PWB: 41 42, 43 44, 85 86, b. Graph the solution to linear inequalities with one variable on a number line. PE/TE: , 148, 149 (#27 32, 45 47), , 153 (#37 40), 159 (#13), 162 (#28), 270 (#12 15), , 309 (#25 30), 310 (#16 21), 320 (#38), 580 (#32 34), 699 (#32 35), 729 (#25 32), 732 (#23 28) PWB: 41 42, 43 44, 85 Standard 2: Number Sense The student will use numbers and number relationships to solve problems. 1. Rational Numbers and Proportional Reasoning a. Compare and order rational numbers (positive and negative integers, fractions, decimals) in real life situations. PE/TE: 53 56, 123 (#47), , 213 (#40), 214 (#16), , 293 (#26), 369 (#17), , 467 (#26) PWB: 16 (#28 30), 54, 70 (#31) b. Use the basic operations on rational numbers to solve problems in real life situations (e.g., describe the effect of multiplying whole numbers by a fraction or a decimal less than 1). PE/TE: 58 62, 63 67, 70 73, 74 77, 79 (#19), 80 84, 85 89, 95 (#38), 97 (#10), 99 (#29, 47), 100 (#17, 22), 101 (#12), , 161 (#13, 21), , , , , 239 (#9), 241 (#9 18), , , 263 (#13), 264 (#19 20), 265 (#43 46), 266, 267, 368 (#10), 369 (#14, 17 18), 712, 717 TE Only: 244 PWB: 3 4, 5 6, 9 (#18 19), 10, 18, 19 (#19 20), 20 (#37), 22, (#24 25), 28, 32 (#24), 34 (#31), 35 (#13 14), 36, 37 38, 64 (#25), 65 (#14 15), 68, 71 72, 74, (#19 21), 82 (#14 15), 84 Selected exercises, examples, etc. are referenced in parentheses, otherwise entire page is applicable. 2

7 Oklahoma Priority Academic Student Skills: Mathematics Content Standards, Grade 8 c. Apply ratios and proportions to solve problems. PE/TE: , 321, , 350 (#34), (#10 17), 362 (#1 4, 9 13), 363 (#1, 4), 367 (#13), 370 (#26 27), , 413 (#28 30), , , 425 (#17 19, 28 29), 426 (#16), 427 (#11), 441 (#48), 447 (#38 39), 453 (#24), , , 469, , 473 (#33 40), 475 (#10), 485 (#43), 506 (#28 31), 534 (#5, 7), 535 (#17 19), 708, 733, 734 (#12 14, 20 21), 735 (#32 35) TE Only: 327 PWB: 89 90, 91 92, 93 94, , Exponents a. Use the rules of exponents to solve problems (e.g., = 7 5, a m /a n = a m n ). PE/TE: , , , 213 (#41 48), 214 (#17 23), 215 (#6 8), 233 (#37 40), 250 (#45 48), 441 (#37 44), 665 (#39 42), , 672, 677 (#35 37), 689 (#32 40), 690 (#11 24), 691 (#4 8), 698 (#28 30), 700 (#41 44), 702 (# ), 730 (#37 48), 739 (#11 24) TE Only: 674 (#3) PWB: 55 56, 57 58, b. Represent and interpret large numbers and numbers less than one in exponential and scientific notation. PE/TE: , 209, 211, 213 (#49 51), 214 (#24 27), 215 (#9), 254 (#37 39), 275 (#41 42), 368 (#7), 730 (#49 56) PWB: c. Use estimation strategies (e.g., rounding) to describe the magnitude of large numbers and numbers less than one. PE/TE: 208 (#39), 484 (#27 28), 670 (#48 50) TE Only: 209 PWB: 60 (#30 31) Standard 3: Geometry and Measurement The student will use geometric properties and measurement to solve problems in a variety of contexts. 1. Construct models, sketch (from different perspectives), and classify solid figures such as rectangular solids, prisms, cones, cylinders, pyramids, and combined forms (e.g., draw a figure that could result from making 1, 2, or 3 cuts in a given solid). PE/TE: , , 499, 500, 501 (#1), 505 (#9 11), 506 (#34), 512, 518, 523 (#35 36), 527 (#20 21), 528 (#7 9), 536 (#22, 27), 548 (#17), 736 (#14 15) TE Only: 520 PWB: 137 (#1 3), 138, 139 (#6 8), 140, 141 (#9 11) Selected exercises, examples, etc. are referenced in parentheses, otherwise entire page is applicable. 3

8 Oklahoma Priority Academic Student Skills: Mathematics Content Standards, Grade 8 2. Estimate and find the surface area and volume in real world settings (e.g.., unwrap a box to explore surface area; use rice, 1 inch cubes, centimeter cubes, cups... to estimate the volume of boxes, irregular shaped objects, containers). PE/TE: , , , , 527 (#34 35), 528 (#10, 14), 529 (#6, 10), 532 (#8 9), 536 (#28) PWB: , , , , 184 (#35 37) 3. Apply knowledge of ratio and proportion to solve relationships between similar geometric figures (e.g., build a model of a 3 dimensional object to scale). PE/TE: , , , 425 (#17 19, 28 29), 426 (#16), 427 (#11), 441 (#48), 447 (#38 39), 453 (#24), 475 (#10), 534 (#5, 7), 701 (#81), 734 (#12 14, 20 21) PWB: , Formulas a. Select and apply appropriate formulas for given situations: I. an equation (e.g., d = rt, i = prt) PE/TE: 33 37, 38 39, 44 45, 47 (#34), 48 (#19), 70, 77 (#31), 79 (#19), 157, 160 (#7), , , 361 (#28 30), 362 (#22 23), 363 (#7 8, 10), 366 (#3), 367 (#17), 370 (#31, 33), 555 (#3), 600 (#21), 617 (#8), , , , 649 (#13 19), 650 (#6 7), 651 (#4 5, 8), 658, 695 (#7), 698 (#22, 31), 702 (# ), 727 (#26), 732 (#33), 733 (#28 31), 738 (#8 17) TE Only: 40 PWB: 12, 97 98, , , Selected exercises, examples, etc. are referenced in parentheses, otherwise entire page is applicable. 4

9 Oklahoma Priority Academic Student Skills: Mathematics Content Standards, Grade 8 II. measurement problems (e.g., p = 2l + 2w, v = lwh) PE/TE: 33 37, 47 (#31 33), 48 (#18), 49 (#9), 82 (#13), 85 86, 88 (#33), 89 (#52), 92 (#8), 93 (#10), 99 (#52), 128 (#27 29), , , 149 (#41), 150, 151 (#1 2), 153 (#30 35), 154 (#14 16), 155 (#5 6), 156, 158 (#4, 8), 159 (#12, 17), 160 (#10), 162 (#22, 27), 177 (#35), 223 (#64), 229 (#8), 231, 233 (#26 28, 36), 250 (#37 39), 267 (#12), 274 (#25), 275 (#39), , 287 (#7), , , 306, 307 (#1 2), 308 (#15), 309 (#20 24), 310 (#12 15), 311 (#4 5, 7), 367 (#11), 369 (#21), 370 (#24), 379 (#23 25), 385 (#25 26), 435 (#48 49), 451, 452 (#2 4), 453 (#21 24, 30), , , 491, , , , , 512, , 518, , , , 528, 529, 530, 532 (#7 9), 533 (#14 15, 17), 536, 544 (#25 27), 548 (#15 16), 555 (#10), 659 (#21 22), 660 (#42), 663, 664 (#21 22, 29), 665 (#38), 667, 669 (#21, 39, 43), 670 (#44, 48 50), 672 (#9, 12), 676 (#23), 677 (#27), 679 (#9), 683 (#30 31), 689 (#38 40), 690 (#10), 691 (#11), 694 (#4), 695 (#13), 701, 727 (#25, 27), 729 (#20 24), 732 (#19 22), 736 TE Only: 147, 281, 675 PWB: 11, 27 (#13 14), 28 (#22, 27), 39 40, (#14 17), 68 (#25), 72, 74 (#26), 78 (#20 21), 79 (#10 12), 83 84, , , , , , , , 179 (#14 15), 182 (#13 14, 19), 184 (#35 37), 186 (#17 18), 188 (#23) b. Find the area of a region of a region for simple composite figures (e.g., area of a rectangular picture frame). PE/TE: 132, 133 (#3 5), 136, 138 (#21 23), 159 (#17), 487 (#4), 489, 530, 533 (#17), 636 (#26), 669 (#43), 672 (#9), 677 (#27) PWB: 40 (#14 15), 136 (#18 20, 25) *5. Develop the Pythagorean Theorem and apply the formula. PE/TE: 442, , , , 455, 460 (#21), 473 (#22 29), 474 (#9 11), 475 (#6, 10), 506 (#26 27), 517 (#33 34), 531, 535 (#13 15), 636 (#29), 701 (#84 85), 735 (#19 28) PWB: , Selected exercises, examples, etc. are referenced in parentheses, otherwise entire page is applicable. 5

10 Oklahoma Priority Academic Student Skills: Mathematics Content Standards, Grade 8 Standard 4: Data Analysis and Statistics The student will use data analysis and statistics to interpret data in a variety of contexts. 1. Select and apply appropriate formats (e.g., line plots, bar graphs, stem and leaf plots, scatter plots, histograms, circle graphs) to display collected data. PE/TE: 6, 7 (#5), 8 (#10, 13, 18 19), 9 (#32), 25 (#1), 48 (#1), 94 (#28), 261 (#34), 523 (#38), , 562 (#4), 574 (#35), 590 (#10), 593 (#2), , , , , , 622 (#27), 626 (#29), 643 (#17), 648, 649 (#11), 650 (#1 4), 651 (#1 3, 9), 660 (#43), , 683, , 694 (#1 2), 695 (#10 11), 696 (#2), 697 (#11, 13 15), 698 (#23a), 699 (#1), 702 (#95, ), 723, 724, 725, 727 (#1 3), 737 (#4), 738 (#1, 3 5) PWB: 1 2, , , , Find the range and measures of central tendency (mean, median and mode) of a set of data. PE/TE: , 263, 265 (#47 50), 266 (#23), 267 (#11, 13), 275 (#43 44), 299 (#42 43), 366 (#8), 367 (#16), 413 (#34 35), 596 (#4 5), 599 (#6, 13, 15), 600 (#23, 26), 601, 603 (#2, 7), 651 (#2), 697 (#12, 14), 700 (#57), 731 (#45 47), 738 (#2) TE Only: 305 (#3), 482, 604 (#1 2) PWB: 75 76, , *3. Determine how samples are chosen (random, limited, biased) to draw and support conclusions about generalizing a sample to a population (e.g., is the average height of a men s college basketball team a good representative sample for height predictions?). PE/TE: , 267 (#13), PWB: 76 (#8) Selected exercises, examples, etc. are referenced in parentheses, otherwise entire page is applicable. 6

11 McDougal Littell Middle School Math, Course 3 correlated to the Oklahoma Priority Academic Student Skills Mathematics Process Standards Grades 6 8 Process Standard 1: Problem Solving 1. Develop and test strategies to solve practical, everyday problems which may have single or multiple answers. PE/TE: 23 (#47), 26 27, 31 (#32), 38 43, 45, 47 (#35), 48 (#20), 49 (#10), 56 (#43), 68 69, 84 (#45), 123 (#52), , 172 (#57), , , 232 (#25), 246 (#56), , 280 (#26), 299 (#41), 335 (#61), , , 407 (#20 21), 421 (#26), 436 (#63), , 453 (#20), 467 (#17), 490 (#36), , 506 (#23 24), , , 622 (#20), 631 (#34), 677 (#31), , 683 (#29 30, 32 33), 684 (#48), 727 (#28) PWB: 13 14, 129 (#8) 2. Use technology to generate and analyze data to solve problems. PE/TE: 14, 23 (#35 37), 73 (#38), 77 (#26), 90, 116 (#34), 129, 209, 239, 246 (#49), 259 (#14), 298 (#33), 300, 330 (#34), 341 (#29), 351, 392 (#17), 420 (#20), 432, 434 (#6 9, 23 26), 435 (#56), 466 (#9 12), 469, 489 (#34), 491, 506 (#28 31), 552 (#19 22), 561, 567 (#25 27), , 638, 670 (#48 50), 683 (#35), 685, 735 (#1 4) TE Only: 197, 468, 515 PWB: 121 (#9 16) 3. Formulate problems from situations within and outside of mathematics and generalize solutions and strategies to new problem situations. PE/TE: 23 (#47), 26 27, 31 (#32), 38 43, 45, 47 (#35), 48 (#20), 49 (#10), 56 (#43), 68 69, 84 (#45), 123 (#52), , 172 (#57), , , 232 (#25), 246 (#56), , 280 (#26), 299 (#41), 335 (#61), , , 407 (#20 21), 421 (#26), 436 (#63), , 453 (#20), 467 (#17), 490 (#36), , 506 (#23 24), , , 622 (#20), 631 (#34), 677 (#31), , 683 (#29 30, 32 33), 684 (#48), 727 (#28) PWB: 13 14, 129 (#8) Selected exercises, examples, etc. are referenced in parentheses, otherwise entire page is applicable. 7

12 Oklahoma Priority Academic Student Skills: Mathematics Process Standards, Grades Evaluate results to determine their reasonableness. PE/TE: 26 27, 73 (#38), 126 (#6), 157, 170 (#10), 253 (#2 6), 254 (#26, 47), 318, 444, 678 TE Only: 209, 613, 637 PWB: 73 (#18) 5. Apply a variety of strategies (e.g., restate the problem, look for a pattern, diagrams, solve a simpler problem, work backwards, trial and error) to solve problems, with emphasis on multistep and nonroutine problems. PE/TE: 23 (#47), 26 27, 31 (#32), 38 43, 45, 47 (#35), 48 (#20), 49 (#10), 56 (#43), 68 69, 84 (#45), 123 (#52), , 172 (#57), , , 232 (#25), 246 (#56), , 280 (#26), 299 (#41), 335 (#61), , , 407 (#20 21), 421 (#26), 436 (#63), , 453 (#20), 467 (#17), 490 (#36), , 506 (#23 24), , , 622 (#20), 631 (#34), 677 (#31), , 683 (#29 30, 32 33), 684 (#48), 727 (#28) PWB: 13 14, 129 (#8) 6. Use oral, written, concrete, pictorial, graphical, and/or algebraic methods to model mathematical situations. PE/TE: 14, 28, 32, 53 54, 57, 58 59, 68 69, , 109, 111 (#5), 112 (#36), 114, 115 (#4), , 119, 124, 126 (#6), 129, 131, 132, 134, 136, 142, 147, 178, 192, 219, 225, 234, 236, 242, 253 (#6), 271, 273 (#10), 274 (#26), 275 (#48), 276, 278, 282, 296, 297 (#22), 301, 303, 304 (#16), 307, 320 (#27 28), 324, 331, 334 (#45 48), 337 (#11 13), 361 (#22 24), 362 (#1 4), 370 (#33), , 407 (#21), 432, , 442, , 486, , , 510, 512, 518, 578, , 589, 591, 593 (#6), 661, 663, 673, 674, 705 TE Only: 33, 193, 411, 683 PWB: 32 (#24), 61 (#1), 73 (#16), 86 (#14), 87 (#9), 90 (#23 24), Selected exercises, examples, etc. are referenced in parentheses, otherwise entire page is applicable. 8

13 Oklahoma Priority Academic Student Skills: Mathematics Process Standards, Grades 6 8 Process Standard 2: Communication 1. Discuss, interpret, translate (from one to another) and evaluate mathematical ideas (e.g., oral, written, pictorial, concrete, graphical, algebraic). PE/TE: Found throughout the text. See, for example, 5 9, 10 13, 20 23, 24 25, 28 31, 38 43, 46 47, 53 56, 63 67, 74 77, 78 79, 80 84, 85 89, 91 95, 96 97, 98 99, , , , , , , , , , , , , , , , , , , 214, 215, , , , , , , , , 266, 267, , , , , , , 310, 311, , , , , , 362, 363, , , , , , , , , , , , 474, 475, , , , , , , 528, 529, , , , , , , , , , , , , , , , , , , , , , , , PWB: 1 2, 3 4, 5 6, 7 8, 9 10, 11 12, 13 14, 15 16, 17 18, 19 20, 21 22, 23 24, 25 26, 27 28, 39 40, 41 42, 43 44, 45 46, 47 48, 49 50, 51 52, 53 54, 55 56, 57 58, 59 60, 73 74, 75 76, 77 78, 79 80, 81 82, 83 84, 85 86, 87 88, 89 90, 91 92, , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , Reflect on and justify reasoning in mathematical problem solving (e.g., convince, demonstrate, formulate). PE/TE: 9 (#23), 23 (#39), 76 (#21), 83 (#31, 40), 102 (#4), 159 (#14, 16 17), 172 (#62), 177 (#34), 183 (#52), 188 (#24), 241 (#13), 254 (#35), 260 (#17), 311 (#10), 320 (#44), 389 (#26), 413 (#25, 36), 440 (#34), 441 (#35), 452 (#16), 476 (#2), 523 (#29), 533 (#17), 567 (#15), 573 (#29), 609 (#28), 635 (#25), 643 (#17), 664 (#36) TE Only: 491, 509, 550 PWB: 33 (#1), 48 (#26), 83, 88 (#12), 90 (#25 26), 113 (#7 8), 114, 123 (#1 8), 148 (#16), 156 (#33), 158 (#25), 164 (#14), 166 (#14), 168 (#10 11), 172 (#22) Selected exercises, examples, etc. are referenced in parentheses, otherwise entire page is applicable. 9

14 Oklahoma Priority Academic Student Skills: Mathematics Process Standards, Grades Select and use appropriate terminology when discussing mathematical concepts and ideas. PE/TE: 7 (#1), 12 (#1), 17 (#7 1), 22 (#1), 24 (#1), 30 (#1), 35 (#1), 41 (#1), 46 (#1 9), 55 (#1), 60 (#1), 65 (#1 2), 72 (#1), 76 (#1), 78 (#1), 82 (#1 6), 87 (#1), 93 (#1), 96 (#1), 98 (#1 4 6), 111 (#1), 115 (#1), 130 (#1), 137 (#1), 142 (#1), 148 (#1), 150 (#1), 152 (#1, 3 4), 170 (#1), 175 (#1), 181 (#1 4), 188 (#1 2), 194 (#1), 198 (#1 2), 203 (#1 2), 210 (#1), 212 (#1, 4 8), 221 (#1), 226 (#1), 232 (#1), 236 (#1), 240 (#1), 244 (#1 4), 249 (#1), 253 (#1), 259 (#1 3), 262 (#1), 264 (#1 6), 273 (#1 3), 280 (#1), 284 (#1), 286 (#1), 292 (#1), 297 (#1), 306 (#1), 308 (#1 5), 319 (#1), 324 (#1), 329 (#1), 333 (#1), 336 (#1), 340 (#1), 344 (#1), 349 (#1), 356 (#1), 360 (#1 3, 6), 378 (#1 2), 384 (#1), 387 (#1 3), 392 (#1), 394 (#1), 399 (#1 2), 406 (#1 2), 411 (#1 3), 419 (#1 2), 422 (#1 2), 424 (#1 8), 434 (#1), 439 (#1), 445 (#1), 452 (#1), 454 (#1), 458 (#1), 466 (#1 3), 470 (#1), 472 (#1, 4 8), 483 (#1 3), 488 (#1), 494 (#1 3), 498 (#1), 505 (#1), 509 (#1), 515 (#1), 524 (#1), 526 (# ), 543 (#1), 547 (#1), 551 (#1), 558 (#1), 562 (#1), 572 (#1 2), 579 (#1), 585 (#1), 588 (#1), 590 (#1 6), 599 (#1), 603 (#1), 607 (#1 2), 614 (#1), 620 (#1), 625 (#1), 629 (#1), 634 (#1), 641 (#1), 646 (#1), 648 (#1 7), 659 (#1 4), 663 (#1), 668 (#1 3), 671 (#1 2), 676 (#1), 682 (#1), 686 (#1 2), 688 (#1 7) PWB: 5, 7 (#1 3), 15 (#17 21), 17 (#14 17), 45 (#5 8), 69 (#4 7), 100 (#14 19), 105, 107 (#1 3), 109 (#1 6), 110 (#16 19), 111 (#1 9), 123, 137 (#6 8), 138 (#9 11), 147 (#1 5), 149 (#1 4), 157 (#1 4), 165 (#1) Process Standard 3: Reasoning 1. Identify and extend patterns and use experiences and observations to make suppositions. PE/TE: 41 (#6), 42 (#10 13, 17 20), 43 (#38), 63, 68 69, 72 (#33), 156, 196, 245 (#45), 253 (#25), 350 (#23), 393 (#28), 407 (#20), , 435 (#56), , 495 (#18), 511 (#28), 554, 555 (#2), , 631 (#30), 666, 676 (#21), 685, 702 (#95) PWB: 13 (#5 8), 14 (#12 15), 30 (#16 17), 150 (#13) 2. Use counter examples to disprove suppositions (e.g., all squares are rectangles, but are all rectangles squares?). PE/TE: 49 (#5, 8), 61 (#27 30), 66 (#46 47), 76 (#21), 155 (#7), 176 (#28 30), 203 (#1 2), 204 (#32 34), 226 (#21 23), 341 (#24 27), 388 (#18 22), 389 (#31 33), 427 (#3, 9), 441 (#49), 529 (#4), 534 (#5), 660 (#33 35), 726 PWB: 63 (#15 17) Selected exercises, examples, etc. are referenced in parentheses, otherwise entire page is applicable. 10

15 Oklahoma Priority Academic Student Skills: Mathematics Process Standards, Grades Develop and evaluate mathematical arguments (e.g., agree or disagree with the reasoning of other classmates and explain why). PE/TE: 12 (#9), 22 (#11), 35 (#6), 41 (#4), 55 (#8), 61 (#17), 72 (#9), 88 (#26), 121 (#2), 138 (#15), 153 (#41 42), 175 (#6), 188 (#7), 198 (#15), 203 (#7), 221 (#2), 249 (#2), 253 (#23), 259 (#6), 284 (#8), 292 (#8), 297 (#8), 308 (#15), 319 (#9), 324 (#6), 333 (#11), 356 (#3), 378 (#5), 384 (#5), 392 (#10), 446 (#20), 458 (#4), 467 (#19), 483 (#14), 515 (#5), 551 (#5), 579 (#8), 629 (#2), 659 (#11), 663 (#8), 676 (#8) PWB: 55 (#17), 81 (#7) 4. Select and use various types of reasoning (e.g., recursive [loops], inductive [specific to general], deductive [general to specific], spatial, and proportional). PE/TE: 9 (#24), 13 (#30 31), 22 (#30), 32 (#4), 37 (#32), 42 (#10 13, 17 20), 56 (#36), 57 (#12), 61 (#27 30), 83 (#31), 103 (#6), 112 (#26), 116 (#35), 127 (#14, 21 22), 131 (#15), 138 (#16, 26 30), 143 (#32), 151 (#13), 171 (#43 46), 172 (#49), 176 (#28 31), 183 (#52), 195 (#27), 199 (#44), 204 (#32 33), 208 (#40), 237 (#35), 241 (#14), 246 (#52), 250 (#35), 254 (#35), 263 (#13), 275 (#37), 281 (#34), 285 (#25), 293 (#22), 308 (#16), 312 (#5), 313 (#8), 321 (#3), , 334 (#44), 335 (#55), 359 (#7), 393 (#21 23), 423 (#8), 444 (#5), 446 (#25), 460 (#22), 462 (#7), 469 (#7), 484 (#26), 489 (#32), 491, 495 (#18), 511 (#29), 512 (#2), 516 (#19 22), 552 (#30), 559 (#26 27, 29), 567 (#15, 28), 580 (#24, 26), 589 (#12), 600 (#18), 622 (#21), 642 (#14), 653 (#5), 660 (#33 35), 664 (#36), 669 (#43), 672 (#12), 676 (#18 20) TE Only: 27, 36, 87, 133, 147, 185, 348, 353, 387, 433, 449, 482, 501, 555, 572, 662, 679 PWB: 1 2, 11 12, 13 14, 15 16, 29 30, 39 40, 53 54, 66 (#16 17), 69 70, 72, 78 (#20 21), 79 (#10 12), 91 92, 93 94, , , , , , , , , , , , , , , , 140, , , , , , , , , , Selected exercises, examples, etc. are referenced in parentheses, otherwise entire page is applicable. 11

16 Oklahoma Priority Academic Student Skills: Mathematics Process Standards, Grades 6 8 Process Standard 4: Connections 1. Apply mathematical strategies to solve problems that arise from other disciplines and the real world. PE/TE: 5, 10, 15, 17, 20, 29, 36, 38, 42, 53, 64, 66, 70, 74 75, 80, 85, , 119, 123, 124, 136, 140, 144, 147, 168, 171, 179, 186, 193, 199, 201, 203 (#8, 21), 205, 208 (#39, 41), 214 (#24), 224, 243, 246 (#49), 247, 251, 257, 271, 282, 291, 301, , 322, 324, 327, 338, 339, 342, 347, 350 (#26), 393 (#24), 404, 416, 447 (#30), 450, 456, 463, , 502, 513, 519, 521, 541, 545, 549, 557, 570, 577, 597, 601, 602, 604 (#15 17), , 660 (#27 30), 670 (#48 50), 680 TE Only: 40, 180, 406, 464 PWB: 1 2, 3 (#16), 4 (#26 28), 5 (#21), 6 (#22, 29), 8 (#22 23, 30), 9 (#18 19), 10 (#22 23), 12 13, 14, 16 (#28 30), 18, 19 (#19 20), 20 (#36 37), 22, 24, 25 (#24), 26 (#25), 28, 31, 32 (#24), 33 (#15), 34 (#31), 35 (#13 14), 36 (#27 28), 37, 43 (#13 14), 44 (#21, 26), 46 (#24), 47 (#17 19), 48 (#27), 50 (#22 24), 52 (#21 22, 32), 54 (#20 22), 56 (#32), 58 (#28 30), 59 (#17 18), 60 (#30 31), 61 (#14), 62 (#15), 63 (#10 14), 64 (#25), 65 (#14 15), 68, 70 (#30 31), 71 (#23), 72 (#28 30), 73 (#16 18), 74 (#25 26, 30), 75 76, 77 (#14), 78 (#15), 79 (#19), 80 (#20 21), 82 (#14 15), 84, 85 (#13), 86 (#14, 21), 87 (#9), 88, 90 (#25 26), 91 (#14 19), 92, 93 (#13 14), 94, 96, 97 (#13 15), 98, , 101 (#13 16), 102, , 108 (#16 17), 112 (#20), 114 (#12), 120 (#10), 122 (#29), 124, 126 (#19), 128 (#14, 18), 129 (#8), 130 (#15), 132 (#11, 15), 135 (#16 17), 148 (#16 17), 149, 150 (#10, 12), 152 (#20), 154 (#28), 156 (#32), 162 (#21 23), 163 (#7 8), 164 (#11), , , , 171 (#19 20), 172, , 175 (#8, 13), 176, , 184 (#35 37), 186 (#21), 187 (#7) 2. Connect one area or idea of mathematics to another (e.g., relate equivalent number representations to each other, relate experiences with geometric shapes to understanding ratio and proportion). PE/TE: 45 (#6), 61 (#38 41), 83 (#27 29), 99 (#52), 171 (#27 30), 176 (#22 27), 222 (#24 27, 41 43), 227 (#24 27, 30 32), 232 (#20 23), 237 (#36 39, 42 45), 249 (#26 31), 250 (#37 39), 254 (#27 30), 260 (#19), 266 (#21), 275 (#39), 280 (#6, 16 18), 287 (#7), 379 (#16 18), 385 (#19 21), 392 (#18 20), , , , , , , 425, 426 (#13 16), 427, 441 (#45 48), 447 (#38 39), 453 (#24), , 467 (#18, 21 23), 475 (#10), 484 (#21 22), 489 (#29 31), 534 (#5, 7), 573 (#28), 636 (#26), 664 (#21 22), 701 (#81) PWB: , Selected exercises, examples, etc. are referenced in parentheses, otherwise entire page is applicable. 12

17 Oklahoma Priority Academic Student Skills: Mathematics Process Standards, Grades 6 8 Process Standard 5: Representation 1. Use a variety of representations to organize and record data (e.g., use concrete, pictorial, and symbolic representations). PE/TE: 6, 7 (#5), 8 (#10, 13, 18 19), 9 (#32), 25 (#1), 48 (#1), 94 (#28), 261 (#34), 523 (#38), , 562 (#4), 574 (#35), 590 (#10), 593 (#2), , , , , , 622 (#27), 626 (#29), 643 (#17), 648, 649 (#11), 650 (#1 5), 651 (#1 3), 660 (#43), , , 694 (#1 2), 695 (#10 11), 696 (#2), 698 (#23a), 699 (#1), 702 (#95, ), 723, 724, 725, 727 (#1 3), 737 (#4), 738 (#1, 3 5) PWB: 1 2, , , 151 (#1 3), 152 (#21 22), , , , , , , , , Use representations to promote the communication of mathematical ideas (e.g., number lines, rectangular coordinate systems, scales to illustrate the balance of equations). PE/TE: 6, 7 (#5), 8 (#10, 13, 18 19), 9 (#32), 14, 25 (#1), 28, 32, 48 (#1), 53 54, 57, 58 59, 66 (#25), 68 69, 78, 94 (#28), , , 111 (#5), 112 (#36), 114, 115 (#4), , 119, 124, 126 (#6), 129, 131, 132, 134, 136, , 147, 178, 179, 192, 219, 225, 234, 236, , 253 (#6), 261 (#34), 271, 273 (#10), 274 (#26), 275 (#48), 276, 278, 282, 296, 297 (#22), 301, 303, 304 (#16), 307, 320 (#27 28), 324, 331, 333, 334 (#45 48), 337 (#11 13), 342, 361 (#22 24), 362 (#1 4), 370 (#33), , 407 (#21), 432, , 442, , 486, , , 510, 512, 518, 523 (#38), , 562 (#4), 574 (#35), 578, , 589, 590 (#10), 591, 593 (#2, 6), , , , , , 622 (#27), 626 (#29), 643 (#17), 648, 649 (#11), 650 (#1 5), 651 (#1 3), 660 (#43), 661, 663, 673, 674, , 683, , 694 (#1 2), 695 (#10 11), 696 (#2), 698 (#23a), 699 (#1), 702 (#95, ), 705, 723, 724, 725, 727 (#1 3), 737 (#4), 738 (#1, 3 5) TE Only: 33, 193, 411 PWB: 1 2, 32 (#24), 61 (#1), 73 (#16), 86 (#14), 87 (#9), 90 (#23 24), , , 151 (#1 3), 152 (#21 22), , , , , , , , , Selected exercises, examples, etc. are referenced in parentheses, otherwise entire page is applicable. 13

18 Oklahoma Priority Academic Student Skills: Mathematics Process Standards, Grades Develop a variety of mathematical representations that can be used flexibly and appropriately (e.g., base 10 blocks to represent fractions and decimals, appropriate graphs to represent data). PE/TE: 14, 28, 32, 53 54, 57, 58 59, 68 69, , 109, 111 (#5), 112 (#36), 114, 115 (#4), , 119, 124, 126 (#6), 129, 131, 132, 134, 136, 142, 147, 178, 192, 219, 225, 234, 236, 242, 253 (#6), 271, 273 (#10), 274 (#26), 275 (#48), 276, 278, 282, 296, 297 (#22), 301, 303, 304 (#16), 307, 320 (#27 28), 324, 331, 334 (#45 48), 337 (#11 13), 361 (#22 24), 362 (#1 4), 370 (#33), , 407 (#21), 432, , 442, , 486, , , 510, 512, 518, 578, , 589, 591, 593 (#6), 661, 663, 673, 674, 705 TE Only: 33, 193, 411, 683 PWB: 1 2, 32 (#24), 61 (#1), 73 (#16), 86 (#14), 87 (#9), 90 (#23 24), , , 151 (#1 3), 152 (#21 22), , , , , , , , , Use a variety of representations to model and solve physical, social, and mathematical problems (e.g., geometric objects, pictures, charts, tables, graphs). PE/TE: 6, 7 (#5), 8 (#10, 13, 18 19), 9 (#32), 14, 25 (#1), 28, 32, 48 (#1), 53 54, 57, 58 59, 66 (#25), 68 69, 78, 94 (#28), , , 111 (#5), 112 (#36), 114, 115 (#4), , 119, 124, 126 (#6), 129, 131, 132, 134, 136, , 147, 178, 179, 192, 219, 225, 234, 236, , 253 (#6), 261 (#34), 271, 273 (#10), 274 (#26), 275 (#48), 276, 278, 282, 296, 297 (#22), 301, 303, 304 (#16), 307, 320 (#27 28), 324, 331, 333, 334 (#45 48), 337 (#11 13), 342, 361 (#22 24), 362 (#1 4), 370 (#33), , 407 (#21), 432, , 442, , 486, , , 510, 512, 518, 523 (#38), , 562 (#4), 574 (#35), 578, , 589, 590 (#10), 591, 593 (#2, 6), , , , , , 622 (#27), 626 (#29), 643 (#17), 648, 649 (#11), 650 (#1 5), 660 (#43), 661, 663, 673, 674, , 683, , 694 (#1 2), 695 (#10 11), 696 (#2), 698 (#23a), 699 (#1), 702 (#95, ), 705, 723, 724, 725, 727 (#1 3), 737 (#4), 738 (#1, 3 5) TE Only: 33, 193, 411, 683 PWB: 1 2, 32 (#24), 61 (#1), 73 (#16), 86 (#14), 87 (#9), 90 (#23 24), , , 151 (#1 3), 152 (#21 22), , , , , , , , , Selected exercises, examples, etc. are referenced in parentheses, otherwise entire page is applicable. 14