correlated to the South Carolina Grade 8 Mathematics Standards 4/2001 1999
Introduction to PRE-ALGEBRA Passport to Algebra and Geometry Passport to Algebra and Geometry helps students gain an understanding of topics consistent with the Standards of the National Council of Teachers of Mathematics. The topics include algebra, data analysis and probability, geometry, integers, rational and real numbers, and measurement and number theory. Also included is concept development of ratios, proportions and percents. Technology is placed appropriately as a tool for learning. The following are some of the key features. Clear examples that model skills and problem-solving strategies provide students with a textbook that is easy to read and supports learning. The use of authentic data and connections to real-life contexts makes mathematics meaningful and relevant to students and gives them a foundation for success in future courses, particularly algebra and geometry. Exploratory Labs provide opportunities to investigate a variety of mathematical topics, make conjectures and develop a concrete understanding of abstract concepts. Standardized Test Practice, Portfolio Opportunities and Ongoing Assessment features in each lesson provide teachers with a variety of ways to assess student progress. Passport to Algebra and Geometry provides a nonthreatening development of abstract concepts that eases the transition to high school mathematics. Additionally, teachers will find comprehensive coverage of geomentry concepts, probability and statistics. Numerous assessment options are integrated thoughout the Passport to Algebra and Geometry. Opportunities for formal, alternative and performance-based assessment include review exercises in each lesson, daily cumulative reviews, writing questions, cooperative assessment, projects and technology activities. Teachers are supported by a wealth of ancillary materials. A complete listing of all program components is provided on the following page.
PRE-ALGEBRA Passport to Algebra and Geometry Components Pupil s Edtion Teacher s Edition Teacher s Resource Package Alternative Assessment Answer Masters Bridge Unit Complete Solution Manual Electronic Teacher Tools Enrichment Copymasters Formal Assessment Home and School Connection Lesson Plans Math Log Practice Workbook, Teacher s Edition Problem of the Day Reteaching Copymasters Teaching Tools: Transparencies and Copymasters Technology: Using Calculators and Computers Daily Cummulative Review Warm-up Exercises Warm-up Transparencies with Standardized Assessment Practice Other Ancillaries Practice Workbook (available in English or Spanish) Overhead Manipulatives Student Manipulatives Teacher Time-saver Transparencies Preparation for Middle School Math, PE Preparation for Middle School Math, TE Bridge Unit for Algebra and Geometry Spanish Resource Binder English-Spanish Problem Solving Transparencies Pasaporte al algebra y a la geometria Multi-Language Glossary Computer Test and Practice Generator CD-ROM (Mac/Windows) Middle School Tutorial Software Larson Interactive Real-Life Investigations CD-ROM (Mac/Windows) with Teacher s Guide
PRE-ALGEBRA Passport to Algebra and Geometry correlated to the SOUTH CAROLINA GRADE 8 MATHEMATICS STANDARDS Number and Operations Standard I. Understand numbers, ways of representing numbers, relationships among numbers, and number systems. Expectations: A. Work flexibly with fractions, decimals, and percents to solve problems. 1. Solve real world problems involving fractions, decimals, and percents. PE/TE: 53, 55, 61, 63, 67, 69, 73, 74, 75, 76, 77, 82-85, 86, 87, 88-91, 92-95, 98, 99, 100, 101, 159, 161, 163, 165, 169, 170, 171, 173, 175, 176, 181, 182-185, 186, 187, 189, 190, 191, 192-195, 199, 200, 285, 287, 289, 293, 302, 311, 313, 317, 321, 323, 325, 327, 329, 331, 333, 334, 337, 339, 343, 345, 346, 347, 348, 349, 350-353, 355, 357, 358, 359, 362, 364, 365, 371, 372-375, 376-379, 380, 381, 382-385, 386-389, 390, 396, 403, 404, 405, 406, 407, 411, 420, 423, 426-429, 430, 431, 436, 437, 441, 443, 445, 452, 454, 455, 513, 514, 515, 542-545, 559, 560, 566, 567, 568, 569, 570, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 603, 604, 605, 607, 608, 609, 610, 611, 619, 621, 639, 648, 668, 670, 671, 683, 684, 685, 686, 687, 705, 719, 722, 729, 735, 736, 737, 739, 742-746, 748, 751, 752, 753, 754, 755, 756 (continued on next page) 1
Additional TE: 48A-F, 154A-F, 252A-F, 308A-F, 360A-F, 408A-F, 510A-F, 562A-F, 616A-F, 666A-F TRP: Alternative Assessment: Project pp. 21, 22, 28-30, 32, 35-38, Partner Quiz pp. 51, 52, 55, Group and Individual pp. 61, 62, 65, 66; Bridge Unit: pp. 3, 4, 12, 14, 33, 54, 58, 59, 60, 62, 67, 69, 81, 82, 83, 84, 85, 86, 87, 90, 91, 92, 93, 94, 97, 98, 99, 100, 101, 102, 103, 126; Daily Cumulative Review: 2.7-2.9, 4.6, 4.8, 7.9, 8.3-8.6, 9.4, 11.1, 11.7, 12.1, 12.3-12.8, pp. 8, 9, 16, 17, 31, 33, 34, 37, 45, 48, 50-53; Enrichment Copymasters: 8.3, 8.6, 11.1, 12.1, 12.3, pp. 39-42, 54-56, 61, 62, 65, 66; Practice Workbook PE/TE: 2.7-2.9, 4.6, 4.8, 7.9, 8.3-8.6, 9.4, 11.1, 11.7, 12.1, 12.3-12.8, pp. 15-17, 31, 33, 59, 62-65, 71, 85, 91, 94, 96-100; Problem of the Day: 2.7-2.9, 4.6, 4.8, 7.9, 8.3-8.6, 9.4, 11.1, 11.7, 12.1, 12.3-12.8, pp. 6, 11, 12, 21, 22, 23, 26, 31, 33-36; Reteaching Copymasters: 2.7-2.9, 4.6, 4.8, 7.9, 8.3-8.6, 9.4, 11.1, 11.7, 12.1, 12.3-12.8, pp. 15-17, 31, 33, 59, 62-65, 71, 85, 91, 94, 96-100; 2.7-2.9, 4.6, 4.8, 7.9, 8.3-8.6, 9.4, 11.1, 11.7, 12.1, 12.3-12.8, pp. 15-17, 31, 33, 59, 62-65, 71, 85, 91, 94, 96-100 Other Ancillaries: Preparation for Middle School Math, Grade 8: pp. 5, 42, 43, 44, 47, 49, 50, 51, 61, 62, 63, 64, 65, 66, 69, 70, 71, 72, 75, 76, 77, 78, 79, 80 2
B. Compare and order fractions, decimals, and percents efficiently and find their approximate locations on a number line. 1. Compare and order rational and irrational numbers and find their approximate locations on a number line. PE/TE: 104, 106, 107, 130, 147, 150, 275, 276, 286, 323, 343, 415, 416, 417, 425, 451, 454, 457, 719, 730 Additional TE: 102A-F, 252A-F, 308A-F, 408A-F TRP: Alternative Assessment: Project pp. 25, 26, 31; Bridge Unit: pp. 22, 27, 29, 35; Daily Cumulative Review: 3.1, 6.5, 7.7, 9.2, pp. 10, 24, 30, 36; Enrichment Copy Masters: 6.5, pp. 31, 32; Practice Workbook PE/TE: 3.1, 6.5, 7.7, 9.2, pp. 18, 46, 57, 69; Problem of the Day: 3.1, 6.5, 7.7, 9.2, pp. 7, 17, 21, 25; Reteaching Copymasters: 3.1, 6.5, 7.7, 9.2, pp. 18, 46, 57, 69; 3.1, 6.5, 7.7, 9.2, pp.18, 46, 57, 69 Other Ancillaries: Preparation for Middle School Math, Grade 8: pp. 12, 16, 18, 23 C. Develop meaning for percents greater than 100 and less than 1. 1. Solve real-world problems involving the use of percents greater than 100% or less than 1%. PE/TE: 340, 341, 342, 343, 346, 728 Additional TE: 308A-F TRP: Alternative Assessment: Project pp. 27, 28; Bridge Unit: pp. 16, 18; Daily Cumulative Review: 7.7, 7.8, p. 30; Practice Workbook PE/TE: 7.7, 7.8, pp. 57, 58; Problem of the Day: 7.7, 7.8, p. 21; Reteaching Copymasters: 7.7, 7.8, pp. 57, 58; 7.7, 7.8, pp. 57, 58 Other Ancillaries: Preparation for Middle School Math, Grade 8: pp. 7, 9 3
E. Develop an understanding of large numbers and recognize and appropriately use exponential, scientific, and calculator notation. 1. Use scientific notation to write very large numbers and numbers less than one. PE/TE: 288-291, 292, 301, 302, 303, 726, 750 Additional TE: 252A-F TRP: Daily Cumulative Review: 6.8, p. 25; Practice Workbook PE/TE: 6.8, p. 49; Problem of the Day: 6.8, p. 18; Reteaching Copymasters: 6.8, p. 49; 6.8, p. 49 Standard II. Understand meanings of operations and how they relate to one another. Expectations: B. Use the associative and commutative properties of addition and multiplication and the distributive property of multiplication over addition to simplify computations with integers, fractions, and decimals. 1. Apply the associative, commutative, and distributive properties to simplify expressions. PE/TE: 52-55, 67, 97, 100, 717 Additional TE: 48A-F TRP: Bridge Unit: p.50; Daily Cumulative Review: 2.1, p.5; Enrichment Copymasters: 2.1, pp. 8, 9; Practice Workbook PE/TE: 2.1, p. 9; Problem of the Day: 2.1, p. 4; Reteaching Copymasters: 2.1, p. 9; 2.1, p. 9 Other Ancillaries: Preparation for Middle School Math, Grade 8: p. 35 4
C. Understand and use the inverse relationships of addition and subtraction, multiplication and division, and squaring and finding square roots to simplify computations and solve problems. 1. Approximate to the nearest tenth the square root of a number that falls between two perfect squares. PE/TE: 11, 411 (Ex. 3), 412 (#31), 413 (#32, 33), 417 (#40), 425, 429, (#16), 454 (#12), 455 (#2) Additional TE: 408A-F TRP: Daily Cumulative Review: 9.1, p. 36; Enrichment Copymasters: 9.1, pp. 45, 46; Practice Workbook PE/TE: 9.1, p. 68; Problem of the Day: 9.1, p. 25; Reteaching Copymasters: 9.1, p. 68; 9.1, p. 68 5
Standard III. Compute fluently and make reasonable estimates. Expectations: A. Select appropriate methods and tools for computing with fractions and decimals from among mental computation, estimation, calculators or computers, and paper and pencil, depending on the situation, and apply the selected methods. 1. Select appropriate methods and tools to solve problems requiring the use of rational numbers. PE/TE: 53, 55, 61, 63, 67, 69, 73, 74, 75, 76, 77, 82-85, 86, 87, 88-91, 92-95, 98, 99, 100, 101, 111, 112, 113, 116, 117, 118, 112, 123, 127, 128, 129, 130, 131, 133, 134, 135, 136, 138-141, 148, 149, 150, 151, 159, 161, 163, 165, 169, 170, 171, 173, 175, 176, 181, 182-185, 186, 187, 189, 190, 191, 192-195, 199, 200, 285, 287, 289, 293, 302, 311, 313, 317, 321, 323, 325, 327, 329, 331, 333, 334, 337, 339, 343, 345, 346, 347, 348, 349, 350-353, 355, 357, 358, 359, 362, 364, 365, 371, 372-375, 376-379, 380, 381, 382-385, 386-389, 390, 396, 403, 404, 405, 406, 407, 411, 420, 423, 426-429, 430, 431, 436, 437, 441, 443, 445, 452, 454, 455, 513, 514, 515, 542-545, 559, 560, 566, 567, 568, 569, 570, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 603, 604, 605, 607, 608, 609, 610, 611, 619, 621, 639, 648, 668, 670, 671, 683, 684, 685, 686, 687, 705, 719, 720, 722, 729, 735, 736, 737, 739, 742-746, 748, 751, 752, 753, 754, 755, 756 Additional TE: 48A-F, 102A-F, 154A-F, 252A-F, 308A-F, 360A-F, 408A-F, 510A-F, 562A-F, 616A-F, 666A-F TRP: Alternative Assessment: Project pp. 20-22, 28-30, 32, 35-38, Partner Quiz pp. 51, 52, 55, Group and Individual pp. 61, 62, 65, 66; Bridge Unit: pp. 1, 2, 3, 4, 10, 11, 12, 13, 14, 18, 23, 24, 25, 26, 27, 30, 31, 32, 33, 34, 35, 39, 42, 43, 46, 51, 54, 58, 59, 60, 62, 67, 69, 81, 82, 83, 84, 85, 86, 87, 90, 91, 92, 93, 94, 97, 98, 99, 100, 101, 102, 103, 126; Daily Cumulative Review: 2.7-2.9, 3.7, 4.6, 4.8, 7.9, 8.3-8.6, 9.4, 11.1, 11.7, 12.1, 12.3-12.8, pp. 8, 9, 13, 16, 17, 31, 33, 34, 37, 45, 48, 50-53; Enrichment Copymasters: 8.3, 8.6, 11.1, 12.1, 12.3, pp. 39-42, 54-56, 61, 62, 65, 66; (continued on next page) 6
Practice Workbook PE/TE: 2.7-2.9, 4.6, 4.8, 7.9, 8.3-8.6, 9.4, 11.1, 11.7, 12.1, 12.3-12.8, pp. 15-17, 24, 31, 33, 59, 62-65, 71, 85, 91, 94, 96-100; Problem of the Day: 2.7-2.9, 3.7, 4.6, 4.8, 7.9, 8.3-8.6, 9.4, 11.1, 11.7, 12.1, 12.3-12.8, pp. 6, 9, 11, 12, 21, 22, 23, 26, 31, 33-36; Reteaching Copymasters: 2.7-2.9, 3.7, 4.6, 4.8, 7.9, 8.3-8.6, 9.4, 11.1, 11.7, 12.1, 12.3-12.8, pp. 15-17, 24, 31, 33, 59, 62-65, 71, 85, 91, 94, 96-100; 2.7-2.9, 3.7, 4.6, 4.8, 7.9, 8.3-8.6, 9.4, 11.1, 11.7, 12.1, 12.3-12.8, pp. 15-17, 24, 31, 33, 59, 62-65, 71, 85, 91, 94, 96-100 Other Ancillaries: Preparation for Middle School Math, Grade 8: pp. 2, 3, 4, 5, 9, 13, 14, 15, 16, 19, 20, 21, 22, 23, 27, 29, 32, 36, 49, 50, 51, 52, 61, 62, 63, 64, 65, 66, 69, 70, 71, 72, 75, 76, 77, 78, 79, 80 B. Develop and analyze algorithms for computing with fractions, decimals, and integers and develop fluency in their use. 1. Compute with rational numbers to solve a variety of applied and mathematical problem situations. PE/TE: 6-9, 16-19, 20, 36, 37, 43, 44, 46, 47, 53, 54, 55, 61, 63, 67, 69, 73, 74, 75, 76, 77, 82-85, 86, 87, 88-91, 92-95, 98, 99, 100, 101, 108-109, 110-113, 114-117, 118, 119, 120-123, 124-125, 126-129, 130, 131, 132-135, 136, 137, 138-141, 147, 148, 149, 150, 151, 159, 161, 163, 165, 169, 170, 171, 173, 175, 176, 181, 182-185, 186, 187, 189, 190, 191, 192-195, 199, 200, 285, 286, 287, 289, 290, 292, 293, 302, 310-313, 314-415, 316-319, 320-323, 324-327, 328, 329, 330-333, 334, 337, 339, 343, 344-347, 348, 349, 350-353, 355, 356, 357, 358, 359, 362, 364, 365, 371, 372-375, 376-379, 380, 381, 382-385, 386-389, 390, 396, 403, 404, 405, 406, 407, 439, 420-423, 426-429, 430, 431, 436, 437, 441, 443, 445, 452, 454, 455, 513, 514, 515, 542-545, 559, 560, 566, 567, 568, 569, 570, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 603, 604, 605, 607, 608, 609, 610, 611, 619, 621, 639, 648, 668, 670, 671, 683, 684, 685, 686, 687, 705, 716, 717, 719, 720, 722, 726, 727, 728, 729, 731, 735, 736, 737, 739, 742-745, 746, 747, 748, 751, 752, 753, 754, 755, 756 Additional TE: 1A-F, 48A-F, 102A-F, 154A-F, 252A-F, 408A-F, 510A-F, 562A-F, 666A-F (continued on next page) 7
TRP: Alternative Assessment: Project pp. 16, 19-22, 27-30, 32, 35-38, Partner Quiz pp. 46, 50-52, 55, Group and Individual pp. 61, 62, 65, 66, 71, 72; Bridge Unit: pp. 1, 2, 3, 4, 10, 11, 12, 13, 14, 18, 23, 24, 25, 26, 27, 30, 31, 32, 33, 34, 35, 39, 42, 43, 46, 51, 54, 58, 59, 60, 62, 67, 69, 81, 82, 83, 84, 85, 86, 87, 90, 91, 92, 93, 94, 97, 98, 99, 100, 101, 102, 103, 126; Daily Cumulative Review: 1.2, 1.4, 2.7-2.9, 3.2-3.7, 4.6, 4.8, 7.1-7.5, 7.8, 7.9, 8.2-8.6, 9.3-9.4, 11.1, 11.7, 12.1, 12.3-12.8, pp. 1, 2, 8-13, 16, 17, 27-34, 37, 45, 48, 50-53; Enrichment Copymasters: 3.4, 3.6, 7.2, 8.3, 8.6, 9.3, 11.1, 12.1, 12.3, pp. 12-15, 35, 36, 39-42, 47, 48, 54-56, 61, 62, 65, 66; Practice Workbook PE/TE: 1.2, 1.4, 2.7-2.9, 3.2-3.7, 4.6, 4.8, 7.1-7.5, 7.8, 7.9, 8.2-8.6, 9.3-9.4, 11.1, 11.7, 12.1, 12.3-12.8, pp. 2, 4, 15-17, 19-24, 31, 33, 51-55, 58, 59, 61-65, 70, 71, 85, 91, 94, 96-100; Problem of the Day: 1.2, 1.4, 2.7-2.9, 3.2-3.7, 4.6, 4.8, 7.1-7.5, 7.8, 7.9, 8.2-8.6, 9.3-9.4, 11.1, 11.7, 12.1, 12.3-12.8, pp. 1, 2, 6-9, 11, 12, 19-23, 25, 26, 31, 33-36; Reteaching Copymasters: 1.2, 1.4, 2.7-2.9, 3.2-3.7, 4.6, 4.8, 7.1-7.5, 7.8, 7.9, 8.2-8.6, 9.3-9.4, 11.1, 11.7, 12.1, 12.3-12.8, pp. 2, 4, 15-17, 19-24, 31, 33, 51-55, 58, 59, 61-65, 70, 71, 85, 91, 94, 96-100; 1.2, 1.4, 2.7-2.9, 3.2-3.7, 4.6, 4.8, 7.1-7.5, 7.8, 7.9, 8.2-8.6, 9.3-9.4, 11.1, 11.7, 12.1, 12.3-12.8, pp. 2, 4, 15-17, 19-24, 31, 33, 51-55, 58, 59, 61-65, 70, 71, 85, 91, 94, 96-100 Other Ancillaries: Preparation for Middle School Math, Grade 8: pp. 2, 3, 4, 5, 9, 13, 14, 15, 16, 19, 20, 21, 22, 23, 27, 29, 32, 36, 49, 50, 51, 52, 61, 62, 63, 64, 65, 66, 69, 70, 71, 72, 75, 76, 77, 78, 79, 80 C. Develop and use strategies to estimate the results of rational-number computations and judge the reasonableness of the results. 1. Justify the reasonableness of an estimate of rational number computations. PE/TE: 12, 15, 141, 167, 193, 286, 578, 594, 597, 598, 705, 742 TRP: Bridge Unit: pp. 1, 11, 12, 18, 43 Other Ancillaries: Preparation for Middle School Math, Grade 8: pp. 3, 9 8
D. Develop, analyze, and explain methods for solving problems involving proportions, such as scaling and finding equivalent ratios. 1. Analyze and explain each method for solving a proportion (equivalent ratios, unit rates, and cross-multiplying. PE/TE: 368-371, 372-375, 376-379, 380, 381, 382, 384, 385, 390, 403, 404, 406, 407, 728, 729, 752, 753 Additional TE: 360A-F TRP: Alternative Assessment: Project pp. 29, 30, Partner Quiz p. 51; Bridge Unit:pp. 2, 65, 66, 67, 68, 69, 70, 71; Daily Cumulative Review: 8.2-8.5, pp. 32-34; Enrichment Copymasters: 8.3, pp. 39, 40; Practice Workbook PE/TE: 8.2-8.5, pp. 61-64; Problem of the Day: 8.2-8.5, pp. 22, 23; Reteaching Copymasters: 8.2-8.5, pp. 61-64; 8.2-8.5, pp. 61-64 Other Ancillaries: Preparation for Middle School Math, Grade 8: pp. 48, 49, 50, 51, 52 2. Use proportional reasoning to solve applied problems and justify the solution. PE/TE: 371, 372-375, 376-379, 380, 381, 382, 384, 385, 390, 404, 406, 407, 729, 752, 753 Additional TE: 360A-F, 371, 372-375, 376-379, 380, 381, 382, 384, 385, 390, 404, 406, 407, 729, 752, 753 TRP: Alternative Assessment: Project p. 29, Partner Quiz p. 51; Bridge Unit: pp. 65, 66, 67, 68, 69; Daily Cumulative Review: 8.3, 8.4, p. 33; Enrichment Copymasters: 8.3, pp. 39, 40; Practice Workbook PE/TE: 8.3, 8.4, pp. 62, 63; Problem of the Day: 8.3, 8.4, pp. 23, 24; Reteaching Copymasters: 8.3, 8.4, pp. 62, 63; 8.3, 8.4, pp. 62, 63 Other Ancillaries: Preparation for Middle School Math, Grade 8: pp.48, 49, 50, 51 9
6-8: Algebra Standard I. Understand patterns, relations, and functions. Expectations: B. Relate and compare different forms of representations for a relationship. 1. Describe the merits and limitations of graphical, symbolic and tabular representations. PE/TE: 26, 31, 33, 34, 38, 39, 41, 45, 46, 142-145, 148, 151, 295, 296, 297, 618-621, 622-625, 626, 627, 632, 639, 642-645, 646-647, 648-651, 652-655, 661, 662, 663, 664, 665, 717, 721, 726, 738, 739 Additional TE: 1A-F, 102A-F, 252A-F, 616A-F TRP: Alternative Assessment: Project pp. 16, 20, 26, 39, 40, Group and Individual pp. 59, 60, 63, 64, 83, 84; Bridge Unit: pp. 47, 118, 119, 120, 122, 123, 124, 126; Daily Cumulative Review: 1.6-1.8, 3.8, 6.9, 13.1, 13.2, 13.5-13.7, pp. 3, 4, 13, 26, 54, 56; Enrichment Copymasters: 1.6-1.8, 3.8, 6.9, 13.2, pp. 2-7, 16, 17, 33, 34, 67, 68; Practice Workbook PE/TE: 1.6-1.8, 3.8, 6.9, 13.1, 13.2, 13.5-13.7, pp. 6-8, 25, 50, 102, 103, 106-108; Problem of the Day: 1.6-1.8, 3.8, 6.9, 13.1, 13.2, 13.5-13.7, pp. 2, 3, 9, 18, 37, 38, 39; Reteaching Copymasters: 1.6-1.8, 3.8, 6.9, 13.1, 13.2, 13.5-13.7, pp. 6-8, 25, 50, 102, 103, 106-108; 1.6-1.8, 3.8, 6.9, 13.1, 13.2, 13.5-13.7, pp. 6-8, 25, 50, 102, 103, 106-108 Other Ancillaries: Preparation for Middle School Math, Grade 8: pp. 92, 93, 94, 95, 96 10
C. Identify functions as linear or nonlinear and contrast their properties from 1. Examine tables, graphs, or simple equations to classify relationships as linear or non-linear. PE/TE: 143, 144, 145, 151, 618-621, 622-625, 626, 627, 629, 630, 631, 632, 638, 639, 643, 644, 645, 646-647, 648-651, 661, 662, 663, 664, 665 Additional TE: 102A-F, 616A-F TRP: Alternative Assessment: Project pp. 39, 40; Bridge Unit: pp. 47, 118, 119, 120, 122, 123, 124, 126; Daily Cumulative Review: 13.1-13.3, 13.5, 13.6, pp. 54-56; Enrichment Copymasters: 13.2, 13.3, pp. 67-71; Practice Workbook PE/TE: 13.1-13.3, 13.5, 13.6, pp. 102-104, 106, 107; Problem of the Day: 13.1-13.3, 13.5, 13.6, pp. 37, 38; Reteaching Copymasters: 13.1-13.3, 13.5, 13.6, pp. 102-104, 106, 107; 13.1-13.3, 13.5, 13.6, pp. 102-104, 106, 107 Other Ancillaries: Preparation for Middle School Math, Grade 8: pp. 92, 93, 94, 95, 96 11
Standard II. Represent and analyze mathematical situations and structures using algebraic symbols. Expectations: A. Develop an initial conceptual understanding of different uses of variables. 1. Evaluate simple algebraic expressions for given values of variables by using the substitution principle and the rules for order of operations. PE/TE: 22-25, 36, 38, 40, 44, 45, 46, 47, 115, 117, 118, 121, 122, 128, 130, 134, 152, 716, 720 Additional TE: 1A-F, 102A-F TRP: Alternative Assessment: Project p. 19, Partner Quiz p. 46; Bridge Unit: pp. 2, 53, 56, 61, 71; Daily Cumulative Review: 1.5, 3.3, 3.4, pp. 3, 11; Enrichment Copymasters: 3.4, pp. 12, 13; Practice Workbook PE/TE: 1.5, 3.3. 3.4, pp. 5, 20, 21; Problem of the Day: 1.5,.3.3, 3.4 pp. 2, 7, 8; Reteaching Copymasters: 1.5, 3.3, 3.4, pp. 5, 20, 21; 1.5, 3.3, 3.4 pp. 5, 20, 21 Other Ancillaries: Preparation for Middle School Math, Grade 8: pp. 38, 40, 45 B. Explore relationships between symbolic expressions and graphs of lines, paying particular attention to the meaning of intercept and slope. 1. Explain the impact of coefficients and constants on linear equations as they reflect simple applications. PE/TE: 623 (Goal 2), 624 (# 9-11, 14-19), 625 (#24), 627, 642-645, 738, 739 Additional TE: 616A-F TRP: Bridge Unit: 120, 123, 124; Daily Cumulative Review: 13.2, 13.3, pp. 54, 55; Enrichment Copymasters: 13.2, 13.3, pp. 67-71; Practice Workbook PE/TE: 13.2, 13.3, pp. 103, 104; Problem of the Day: 13.2, 13.3, p. 37; Reteaching Copymasters: 13.2, 13.3, pp. 103, 104; 13.2, 13.3, pp. 103, 104 Other Ancillaries: Preparation for Middle School Math, Grade 8: pp. 94, 96 12
C. Use symbolic algebra to represent situations and to solve problems, especially those that involve linear relationships. 1. Write or model a linear equation to solve a simple applied problem. PE/TE: 53, 61, 63, 67, 73, 75, 82-85, 87, 88, 90, 91, 98, 99, 100, 101, 127, 129, 131, 133, 139, 141, 149, 159, 161, 163, 169, 171, 173, 175, 181, 183, 184, 185, 187, 189, 190, 191, 200, 201, 372-375, 376-379, 382, 404, 406, 603, 718, 719, 721, 722, 729, 744, 745, 751, 752, 753 Additional TE: 48A-F, 154A-F, 360A-F TRP: Alternative Assessment: Project pp. 20-22, 29, Partner Quiz p. 51; Bridge Unit: pp. 62, 63, 64, 66, 67, 68, 69, 122; Daily Cumulative Review: 2.7, 2.8, 3.7, 4.1, 4.6, 8.3, 8.4, pp. 8, 13, 14, 16, 33; Enrichment Copymasters: 8.3, pp. 39, 40; Practice Workbook PE/TE: 2.7, 2.8, 3.7, 4.1, 4.6, 8.3, 8.4, pp. 15, 16, 24, 26, 31, 62, 63; Problem of the Day: 2.7, 2.8, 3.7, 4.1, 4.6, 8.3, 8.4, pp. 6, 9, 10, 11, 22, 23; Reteaching Copymasters: 2.7, 2.8, 3.7, 4.1, 4.6, 8.3, 8.4, pp. 15, 16, 24, 26, 31, 62, 63; 2.7, 2.8, 3.7, 4.1, 4.6, 8.3, 8.4, pp. 15, 16, 24, 26, 31, 62, 63 Other Ancillaries: Preparation for Middle School Math, Grade 8: pp. 46, 47, 48, 49, 50, 51, 95 13
D. Recognize and generate equivalent forms for simple algebraic expressions and solve linear equations. 1. Simplify a variety of algebraic expressions using properties of real numbers and rules for order of operations. PE/TE: 56-59, 97, 115, 100, 121, 122, 128, 130, 274, 276, 279, 284, 286, 300, 301, 302, 303, 310, 312, 316, 318, 320, 324, 326, 329, 330, 332, 355, 356, 358, 612, 688-691, 694-697, 698-701, 703, 704-707, 710, 711, 712, 713, 714, 717, 720, 725, 726, 741 Additional TE: 48A-F, 252A-F, 308A-F, 666A-F TRP: Alternative Assessment: Project pp. 17, 19, 25-27, 42, Group and Individual pp. 69-72, Partner Quiz pp. 46, 49, 50; Bridge Unit: pp. 2, 52, 56, 61, 71; Daily Cumulative Review: 2.2, 3.4, 6.5, 6.7, 7.1-7.5, 14.5-14.8, pp. 5, 11, 24, 25, 27, 28, 60, 61; Enrichment Copymasters: 3.4, 6.5, 7.2, 14.8, pp. 12, 13, 31, 32, 35, 36, 75, 76; Practice Workbook PE/TE: 2.2, 3.4, 6.5, 6.7, 7.1-7.5, 14.5-14.8, pp. 10, 21, 46, 48, 51-54, 114-117; Problem of the Day: 2.2, 3.4, 6.5, 6.7, 7.1-7.5, 14.5-14.8, pp. 4, 8, 17-20, 41, 42; Reteaching Copymasters: 2.2, 3.4, 6.5, 6.7, 7.1-7.5, 14.5-14.8, pp. 10, 21, 46, 48, 51-54, 114-117; 2.2, 3.4, 6.5, 6.7, 7.1-7.5, 14.5-14.8, pp. 10, 21, 46, 48, 51-54, 114-117 Other Ancillaries: Preparation for Middle School Math, Grade 8: pp. 37, 40, 45 14
2. Solve one- and two-step linear equations and inequalities in one variable using strategies that involve inverse operations. PE/TE: 64-65, 66-69, 70, 71, 72-75, 82-85, 86, 88, 90, 91, 92-95, 98, 99, 100, 101, 138, 149, 156-157, 158-161, 162-165, 168-171, 172-175, 176, 177, 178-181, 183, 184, 185, 186, 197, 198, 200, 368-371, 377, 380, 382, 403, 404, 406, 718, 719, 720, 721, 722, 728, 729 Additional TE: 48A-F, 102A-F, 154A-F, 360A-F TRP: Alternative Assessment: Project pp. 17, 18, 19, 29, 30, Partner Quiz pp. 45, 46, 51, Group and Individual pp. 61, 62; Bridge Unit: pp. 2, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71; Daily Cumulative Review: 2.4, 2.5, 2.7-2.9, 3.7, 4.1-4.6, 8.2, 8.4, 8.5, pp. 6-9, 11, 14-16, 32-34; Enrichment Copymasters: 3.4, 4.3, pp. 12, 13, 18-21; Practice Workbook PE/TE: 2.4, 2.5, 2.7-2.9, 3.7, 4.1-4.6, 8.2, 8.4, 8.5, pp. 12, 13, 15-17, 21, 26-31, 61, 63, 64; Problem of the Day: 2.4, 2.5, 2.7-2.9, 3.7, 4.1-4.6, 8.2, 8.4, 8.5, pp. 5, 6, 8, 10, 11, 22, 23; Reteaching Copymasters: 2.4, 2.5, 2.7-2.9, 3.7, 4.1-4.6, 8.2, 8.4, 8.5, pp. 12, 13, 15-17, 21, 26-31, 61, 63, 64; 2.4, 2.5, 2.7-2.9, 3.7, 4.1-4.6, 8.2, 8.4, 8.5, pp. 12, 13, 15-17, 21, 26-31, 61, 63, 64 Other Ancillaries: Preparation for Middle School Math, Grade 8: pp. 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53 15
Standard III. Use mathematical models to represent and understand quantitative relationships. Expectations: A. Model and solve contextualized problems using various representations, such as graphs, tables, and equations. 1. Use one or more representations to model and to analyze the relationship in applied problems to determine if it is linear or non-linear. PE/TE: 143, 144, 145, 151, 618-621, 622-625, 626, 627, 629, 630, 631, 632, 638, 639, 643, 644, 645, 646-647, 648-651, 661, 662, 663, 664, 665 Additional TE: 102A-F, 616A-F TRP: Alternative Assessment: Project pp. 39, 40; Bridge Unit: pp. 58, 59, 60, 62, 63, 64, 66, 67, 68, 69, 122; Daily Cumulative Review: 13.1-13.3, 13.5, 13.6, pp. 54-56; Enrichment Copymasters: 13.2, 13.3, pp. 67-71; Practice Workbook PE/TE: 13.1-13.3, 13.5, 13.6, pp. 102-104, 106, 107; Problem of the Day: 13.1-13.3, 13.5, 13.6, pp. 37, 38; Reteaching Copymasters: 13.1-13.3, 13.5, 13.6, pp. 102-104, 106, 107; 13.1-13.3, 13.5, 13.6, pp. 102-104, 106, 107 Other Ancillaries: Preparation for Middle School Math, Grade 8: pp. 42, 43, 44, 46, 47, 49, 50, 51, 95 16
Standard IV. Analyze change in various contexts. Expectations: A. Use graphs to analyze the nature of changes in quantities in linear relationships. 1. Use tables and graphs to model and analyze linear relationships between variables. PE/TE: 143, 144, 145, 151, 618-621, 622-625, 626, 627, 629, 630, 631, 632, 638, 639, 643, 644, 645, 646-647, 648-651, 661, 662, 663, 664, 665 Additional TE: 102A-F, 616A-F TRP: Alternative Assessment: Project pp. 39, 40; Bridge Unit: pp. 4, 118, 119, 120, 122, 123, 124; Daily Cumulative Review: 13.1-13.3, 13.5, 13.6, pp. 54-56; Enrichment Copymasters: 13.2, 13.3, pp. 67-71; Practice Workbook PE/TE: 13.1-13.3, 13.5, 13.6, pp. 102-104, 106, 107; Problem of the Day: 13.1-13.3, 13.5, 13.6, pp. 37, 38; Reteaching Copymasters: 13.1-13.3, 13.5, 13.6, pp. 102-104, 106, 107; 13.1-13.3, 13.5, 13.6, pp. 102-104, 106, 107 Other Ancillaries: Preparation for Middle School Math, Grade 8: pp. 92, 93, 94, 95, 96 17
Geometry Standard I. Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships. Expectations: A. Precisely describe, classify, and understand relationships among types of two- and three-dimensional objects using their defining properties. 1. Identify the necessary and sufficient properties that characterize quadrilaterals. PE/TE: 484-487, 507, 508, 509, 733 Additional TE: 458A-F TRP: Daily Cumulative Review: 10.6, p. 42; Practice Workbook PE/TE: 10.6, p. 81; Problem of the Day: 10.6, p. 29; Reteaching Copymasters: 10.6, p. 81; 10.6, p. 81 B. Understand relationships among the angles, side lengths, perimeters, areas, and volumes of similar objects. 1. Describe how a change in the edge length affects the angle measures, perimeters and areas of similar regular polygons. PE/TE: 536-539, 540-541, 542-545, 559, 560, 735 Additional TE: 510A-F TRP: Alternative Assessment: Project pp. 35, 36; Daily Cumulative Review: 11.6, 11.7, pp. 47, 48; Enrichment Copymasters: 11.6, pp. 59, 60; Practice Workbook PE/TE: 11.6, 11.7, pp. 90, 91; Problem of the Day: 11.6, 11.7, pp. 32, 33; Reteaching Copymasters: 11.6, 11.7, pp, 90, 91; 11.6, 11.7, pp. 90, 91 18
C. Create and critique inductive and deductive arguments concerning geometric ideas and relationships, such as congruence, similarity, and the Pythagorean relationship. 1. Given the length of 3 segments, determine and explain whether or not they can form a triangle. PE/TE: 95, 446-449, 453, 455, 732 Additional TE: 408A-F TRP: Alternative Assessment: Group and Individual pp. 75, 76; Daily Cumulative Review: 9.8, p. 39; Practice Workbook PE/TE: 9.8, p. 75; Problem of the Day: 9.8, p. 27; Reteaching Copymasters: 9.8, p. 75; 98, p. 75 2. Apply the Pythagorean relationship to determine if a triangle is a right triangle. PE/TE: 421, 422 (#15-18), 429 (#15, 17, 18) Additional TE: 408A-F TRP: Alternative Assessment: Project pp. 31, 32, Partner Quiz p. 52; Daily Cumulative Review: 9.3, 9.4, p. 37; Enrichment Copymasters: 9.3, pp. 47, 48; Practice Workbook PE/TE: 9.3, 9.4, pp. 70, 71; Problem of the Day: 9.3, 9.4, pp. 25, 26; Reteaching Copymasters: 9.3, 9.4, pp. 70, 71; 9.3, 9.4, pp. 70, 71 3. Apply the Pythagorean Theorem to find the missing length of a side of a right triangle. PE/TE: 418-419, 420-423, 424, 425, 426-429, 430, 431, 452, 454, 455, 457, 731, 755 Additional TE: 408A-F TRP: Alternative Assessment: Project pp. 31, 32, Partner Quiz p. 52; Daily Cumulative Review: 9.3, 9.4, p. 37; Enrichment Copymasters: 9.3, pp. 47, 48; Practice Workbook PE/TE: 9.3, 9.4, pp. 70, 71; Problem of the Day: 9.3, 9.4, pp. 25, 26; Reteaching Copymasters: 9.3, 9.4, pp. 70, 71; 9.3, 9.4, pp. 70, 71 19
Standard II. Specify locations and describe spatial relationships using coordinate geometry and other representational systems. Expectations: A. Use coordinate geometry to represent and examine the properties of geometric shapes. 1. Given the coordinates of a vertex and the length of adjacent sides of a polygon, use the rectangular coordinate system to locate other vertices with a square, rectangle or right triangle. Related skills are taught on the following pages: PE/TE: 142, 144, 519, 525, 531, 532, 533, 734 Additional TE: 102A-F, 510A-F TRP: Alternative Assessment: Project, p. 20, Partner Quiz p. p. 54, Group and Individual, pp. 63, 64, 79, 80; Bridge Unit: pp. 111, 115, 117, 124; Daily Cumulative Review: 3.8, 11.2, 11.3, 11.5, pp. 13, 45-47; Enrichment Copymasters: 3.8, 11.5, pp. 16, 17, 57, 58; Practice Workbook PE/TE: 3.8, 11.2, 11.3, 11.5, pp. 25, 86, 87, 89; Problem of the Day: 3.8, 11.2, 11.3, 11.5, pp. 9, 108, 110, 112; Reteaching Copymasters: 3.8, 11.2, 11.3, 11.5, pp. 25, 86, 87, 89; 3.8, 11.2, 11.3, 11.5, pp. 25, 86, 87, 89 Other Ancillaries: Preparation for Middle School Math, Grade 8: pp. 86, 91 20
Standard III. Apply transformations and use symmetry to analyze mathematical situations. Expectations: A. Describe sizes, positions, and orientations of shapes under informal transformations such as flips, turns, slides, and scaling. 1. Apply dilations and describe their results. PE/TE: 537, 539 Additional TE: 510A-F TRP: Daily Cumulative Review: 11.6, p. 47; Enrichment Copymasters: 11.6, pp. 59, 60; Practice Workbook PE/TE: 11.6, p. 90; Problem of the Day: 11.6, p. 32; Reteaching Copymasters: 11.6, p. 90; 11.6, p. 90 B. Examine the congruence, similarity, and line or rotational symmetry of objects using transformations. 1. Determine the equivalence, if any, between multiple applications of one transformation and the application of a different transformation. PE/TE: 521, 522-525, 526-529, 530-533, 535, 558, 560, 561, 734, 735, 758 Additional TE: 510A-F TRP: Alternative Assessment: Partner Quiz p. 54; Bridge Unit: p. 4; Daily Cumulative Review: 11.3-11.5, pp. 46, 47; Enrichment Copymasters: 11.5, pp. 57, 58; Practice Workbook PE/TE: 11.3-11.5, pp. 87-89; Problem of the Day: 11.3-11.5, pp. 31, 32; Reteaching Copymasters: 11.3-11.5, pp. 87-89; 11.3-11.5, pp. 87-89 21
Standard IV. Use visualization, spatial reasoning, and geometry modeling to solve problems. Expectations: A. Draw geometric objects with specified properties, such as side lengths or angle measures. 1. Identify the congruent and supplementary relationships of the angles formed by parallel lines and a transversal. PE/TE: 470, 472, 473, 483, 505, 508, 509, 732 Additional TE: 458A-F TRP: Daily Cumulative Review: 10.3, p. 41; Practice Workbook PE/TE: 10. 3, p. 78; Problem of the Day: 10.3, p. 28; Reteaching Copymasters: 10.3, p. 78; 10.3, p. 78 B. Use two-dimensional representations of three-dimensional objects to visualize and solve problems such as those involving surface area and volume. 1. Use isometric drawings of three-dimensional figures to build the model with cubes. PE/TE: 602 Additional TE: 562A-F 2. Determine the changes in volume and surface area of 3-dimensional figures that can be built with cubes when one or more measurements are changed. PE/TE: 602-605, 609, 610, 737 Additional TE: 562A-F TRP: Daily Cumulative Review: 12.8, p. 53; Practice Workbook PE/TE: 12.8, p. 101; Problem of the Day: 12.8, p. 36; Reteaching Copymasters: 12.8, p. 101; 12.8, p. 101 22
C. Use visual tools such as networks to represent and solve problems. 1. Construct a network to solve a problem situation. Related concepts are taught on the following pages: PE/TE: 33, 35, 492-493, 744 Additional TE: 1A-F, 458A-F D. Use geometric models to represent and explain numerical and algebraic relationships. 1. Use an area model to analyze probability. PE/TE: 242, 244, 245, 249, 724 Additional TE: 202A-F TRP: Alternative Assessment: Project p. 24; Daily Cumulative Review: 5.8, p. 21; Practice Workbook PE/TE: 5.8, p. 41; Problem of the Day: 5.8, p. 15; Reteaching Copymasters: 5.8, p. 41; 5.8, p. 41 E. Recognize and apply geometric ideas and relationships in areas outside the mathematics classroom, such as art, science, and everyday life. 1. Identify applications of transformations, such as tiling, fabric design, art, and scaling Related concepts are taught on the following pages: PE/TE: 522-525, 526-529, 530-533, 535, 558, 560, 561, 734, 735, 758 Additional TE: 510A-F TRP: Alternative Assessment: Partner Quiz p. 54; Daily Cumulative Review: 11.3-11.5; pp. 46, 47; Enrichment Copymasters: 11.5, pp. 57, 58; Practice Workbook PE/TE: 11.3-11.5, pp. 87-89; Problem of the Day: 11.3-11.5, pp. 31, 32; Reteaching Copymasters: 11.3-11.5, pp. 87-89; 11.3-11.5, pp. 87-89 23
Measurement Standard I. Understand measurable attributes of objects and the units, systems, and processes of measurement. Expectations: B. Understand relationships among units and convert from one unit to another within the same system. 1. Use dimensional analysis to convert from one unit to another. PE/TE: 437, 587, 600, 763 Standard II. Apply appropriate techniques, tools, and formulas to determine measurements. Expectations: C. Develop and use formulas to determine the circumference of circles and the area of triangles, parallelograms, trapezoids, and circles and develop strategies to find the area of more-complex shapes. 1. Find the area of irregular shapes. PE/TE: 18, 30-31, 192-195, 199, 233, 513, 722 Additional TE: 154A-F TRP: Alternative Assessment: Group and Individual pp. 65, 66; Daily Cumulative Review: 4.8, p. 17; Practice Workbook PE/TE: 4.8, p. 33; Problem of the Day: 4.8, p. 12; Reteaching Copymasters: 4.8, p. 33; 4.8, p. 33 24
2. Find the area of a trapezoid using the formula. PE/TE: 512-515, 535, 545, 557, 560, 561, 734 Additional TE: 510A-F TRP: Alternative Assessment: Project p. 35; Daily Cumulative Review: 11.1, p. 45; Enrichment Copymasters: 11.1, pp. 54-56; Practice Workbook PE/TE: 11.1, p. 85; Problem of the Day: 11.1, p. 31; Reteaching Copymasters: 11.1, p. 85; 11.1, p. 85 D. Develop strategies to determine the surface area and volume of selected prisms, pyramids, and cylinders. 1. Investigate and describe the relationship between the area of the faces and surface area of prisms, pyramids and cylinders. PE/TE: 576-579, 585, 608, 610, 736 Additional TE: 562A-F TRP: Bridge Unit: pp. 3, 4, 88, 89, 90, 92, 94, 98, 99, 100, 102, 103; Daily Cumulative Review: 12.3, p. 51; Enrichment Copymasters: 12.3, pp. 65, 66; Practice Workbook PE/TE: 12.3, p. 96; Problem of the Day: 12.3, p. 34; Reteaching Copymasters: 12.3, p. 96; 12.3, p. 96 Other Ancillaries: Preparation for Middle School Math, Grade 8: pp. 67, 68, 69, 72, 76, 77, 79 25
E. Solve problems involving scale factors, using ratio and proportion. 1. Use the properties of similar figures to determine the length of a missing side. PE/TE: 536-539, 540-541, 542-545, 559, 560, 735 Additional TE: 510A-F TRP: Alternative Assessment: Project pp. 35, 36; Daily Cumulative Review: 11.6, 11.7, pp. 47, 48; Enrichment Copymasters: 11.6, pp. 59, 60; Practice Workbook PE/TE: 11.6, 11.7, pp. 90, 91; Problem of the Day: 11.6, 11.7, pp. 32, 33; Reteaching Copymasters: 11.6, 11.7, pp. 90, 91; 11.6, 11.7, pp. 90, 91 F. Solve simple problems involving rates and derived measurements for such attributes as velocity and density. 1. Use measurements and formulas to solve real-world and mathematical problems. PE/TE: 23, 25, 44, 127, 129, 151, 175, 192-195, 411, 412, 413, 420, 512-515, 555, 576-579, 580-583, 584, 585, 586-589, 590-591, 592-595, 596-599, 600, 601, 603, 604, 605, 607, 608, 609, 610, 611, 619, 621, 645, 656, 702, 722, 734, 736, 737, 754, 756 Additional TE: 1A-F, 102A-F, 154A-F, 408A-F, 510A-F, 562A-F, 616A-F TRP: Alternative Assessment: Project, pp. 35, 37, 38, Partner Quiz p. 55, Group and Individual pp. 65, 66; Bridge Unit: pp. 3, 4, 80-94, 96-103; Daily Cumulative Review: 4.8, 11.1, 12.1, 12.3-12.8, pp. 17, 45, 50-53; Enrichment Copymasters: 11.1, 12.1, 12.3, pp. 54-56, 61, 62, 65, 66; Practice Workbook PE/TE: 4.8, 11.1, 12.1, 12.3-12.8, pp. 33, 85, 94, 96-101; Problem of the Day: 4.8, 11.1, 12.1, 12.3-12.8, pp. 12, 31, 34-36; Reteaching Copymasters: 4.8, 11.1, 12.1, 12.3-12.8, pp. 33, 85, 94, 96-101; 4.8, 11.1, 12.1, 12.3-12.8, pp. 33, 85, 94, 96-101 Other Ancillaries: Preparation for Middle School Math, Grade 8: pp. 60-72, 74-79 26
Data Analysis and Probability Standard I. Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them. Expectations: B. Select, create, and use appropriate graphical representations of data, including histograms, box plots, and scatter plots. 1. Use a matrix to organize and describe data. PE/TE: 682-685, 686, 687, 710, 712, 713, 740 Additional TE: 666A-F TRP: Alternative Assessment: Project p. 41, Partner Quiz p. 57; Daily Cumulative Review: 14.4, p. 59; Practice Workbook PE/TE: 14.4, p. 113; Problem of the Day: 14.4, p. 41; Reteaching Copymasters: 14.4, p. 113; 14.4, p. 113 2. Create and use a scatter plot and estimate its line of fit. PE/TE: 236-239, 646-647, 649, 650, 651, 724 Additional TE: 202A-F, 616A-F TRP: Alternative Assessment: Project p. 24; Daily Cumulative Review: 5.7, p. 21; Practice Workbook PE/TE: 5.7, p. 40; Problem of the Day: 5.7, p. 15; Reteaching Copymasters: 5.7, p. 40; 5.7, p. 40 27
3. Explain what type of graph would be appropriate for a given data set. PE/TE: 204-207, 208-211, 213, 214-217, 218-219, 220-223, 225, 230-233, 235, 236-239, 247, 248, 249, 250, 251, 345, 347, 358, 672-675, 676-679, 681, 686, 687, 709, 710, 712, 713, 723, 724, 729, 740, 761, 762 Additional TE: 202A-F, 308A-F, 666A-F TRP: Alternative Assessment: Project pp. 23, 24, Partner Quiz p. 48; Daily Cumulative Review: 5.1-5.4, 5.6, 5.7, 14.2, 14.3, pp. 18-21, 58, 59; Enrichment Copymasters: 5.1, 5.4, pp. 22-28; Practice Workbook PE/TE: 5.1-5.4, 5.6, 5.7, 14.2, 14.3, pp. 34-37, 39, 40, 111, 112; Problem of the Day: 5.1-5.4, 5.6, 5.7, 14.2, 14.3, pp. 13, 14, 15, 40; Reteaching Copymasters: 5.1-5.4, 5.6, 5.7, 14.2, 14.3, pp. 34-37, 39, 40, 111, 112; 5.1-5.4, 5.6, 5.7, 14.2, 14.3, pp. 34-37, 39, 40, 111, 112 28
Standard II. Select and use appropriate statistical methods to analyze data. Expectations: A. Find, use, and interpret measures of center and spread, including mean and interquartile range. 1. Determine which measure of center is the most appropriate for a given situation and explain the reasoning used. PE/TE: 668-671, 676-679, 680, 686, 687, 709, 710, 712, 713, 740 Additional TE: 666A-F TRP: Alternative Assessment: Project p. 41; Daily Cumulative Review: 14.1, 14.3, pp. 58, 59; Enrichment Copymasters: 14.1, pp. 72-74; Practice Workbook PE/TE: 14.1, 14.3, pp. 110, 112; Problem of the Day: 14.1, p. 40; Reteaching Copymasters: 14.1, 14.3, pp. 110, 112; 14.1, 14.3, pp. 110, 112 B. Discuss and understand the correspondence between data sets and their graphical representations, especially histograms, stem-and-leaf plots, box plots, and scatterplots. 1. Explain how different graphical representations of data can bias the interpretation of this data. PE/TE: 218-219, 220-223, 224, 225, 226-229, 248, 249, 250, Additional TE: 202A-F TRP: Alternative Assessment: Partner Quiz p. 48, Group and Individual pp. 67, 68; Daily Cumulative Review: 5.4, 5.5, pp. 19, 20; Enrichment Copymasters: 5.4, pp. 26-28; Practice Workbook PE/TE: 5.4, 5.5, pp. 37, 38; Problem of the Day: 5.4, 5.5, p. 14; Reteaching Copymasters: 5.4, 5.5, pp. 37, 38; 5.4, 5.5, pp. 37, 38 29
Standard III. Develop and evaluate inferences and predictions that are based on data. Expectations: B. Make conjectures about possible relationships between two characteristics of a sample on the basis of scatterplots of the data and approximate lines of fit 1. Use a scatter plot and its line of fit to determine if a positive, negative, or no relationship exists between two sets of data and to make predictions. PE/TE: 236-239, 646-647, 649, 650, 651, 724 Additional TE: 202A-F, 616A-F TRP: Alternative Assessment: Project p. 24; Daily Cumulative Review: 5.7, p. 21; Practice Workbook PE/TE: 5.7, p. 40; Problem of the Day: 5.7, p. 15; Reteaching Copymasters: 5.7, p. 40; 5.7, p. 40 C. Use conjectures to formulate new questions and plan new studies to answer them. 1. Formulate a hypothesis, then design and carry out an experiment to test it. PE/TE: 203, 207, 211, 239, 240-241, 244, 245, 646-647, 667, 671, 675, 680, 685, 691 Additional TE: 202A-F, 616A-F, 666A-F TRP: Alternative Assessment: Project pp. 23, 24; Enrichment Copymasters: 5.4, pp. 26-28 2. Formulate new areas of investigation based on the results of prior experiments. PE/TE: 239, 241, 245 Additional TE: 202A-F TRP: Alternative Assessment: Project pp. 23, 24; Enrichment Copymasters: 5.4, pp. 26-28 30
Standard IV. Understand and apply basic concepts of probability Expectations: B. Use proportionality and a basic understanding of probability to make and test conjectures about the results of experiments and simulations. 1. Make inferences and convincing arguments based on analysis of theoretical or experimental probability. PE/TE: 240-241, 242-245, 398-401, 405, 406, 724, 730 Additional TE: 202A-F TRP: Alternative Assessment: Project pp. 24, 30; Daily Cumulative Review: 5.8, 8.8, pp. 21, 35; Enrichment Copymasters: 8.8, pp. 43, 44; Practice Workbook PE/TE: 5.8, 8.8, pp. 41, 67; Problem of the Day: 5.8, 8.8, pp. 15, 24; Reteaching Copymasters: 5.8, 8.8, pp. 41, 67; 5.8, 8.8, pp. 41, 67 C. Compute probabilities for simple compound events, using such methods as organized lists, tree diagrams, and area models. 1. Compute the probability of two dependent events. PE/TE: 399, 400, 401, 405, 406, 730 Additional TE: 308A-F TRP: Alternative Assessment: Project p. 30; Daily Cumulative Review: 8.8, p. 35; Enrichment Copymasters: 8.8, pp. 43, 44; Practice Workbook PE/TE: 8.8, p. 67; Problem of the Day: 8.8, p. 24; Reteaching Copymasters: 8.8, p. 67; 8.8, p. 67 31
2. Determine the odds of a given event. Prerequisite concept is taught on the following pages: PE/TE: 242-245, 249, 250, 251, 724 Additional TE: 202A-F TRP: Alternative Assessment: Project p. 24; Daily Cumulative Review: 5.8, p. 21; Practice Workbook PE/TE: 5.8, p. 41; Problem of the Day: 5.8, p. 15; Reteaching Copymasters: 5.8, p. 41; 5.8, p. 41 32