Prentice Hall Mathematics: Pre-Algebra 2004 Correlated to: Minnesota Mathematical Concepts and Applications (Grades 9-12)
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1 Minnesota Mathematical Concepts and Applications (Grades 9-12) MATH RESEARCH A student shall design and conduct an investigation on a mathematical topic by: A. selecting and refining a topic through research; SE/TE: Chapter Projects: ; Real-World Snapshots: 62, 345, 627; Investigation: 630 add-1061, add-1161, add-1261, add-1261 B. formulating generalizations about the topic; SE/TE: Chapter Projects: ; Real-World Snapshots: 62, 345, 627; Investigation: 44, 71, 186, 215, 243, 248, 305, 411, 423, 486, 522, 584, 608, 654, 688, 694 add-1061, add-1161, add-1261, add-1261 C. documenting insights gained during the investigation; SE/TE: Chapter Projects: ; Real-World Snapshots: 62, 345, 577; Investigation: 44, 71, 186, 215, 243, 248, 305, 411, 423, 486, 522, 584, 608, 627, 654, 688, 694 add-1061, add-1161, add-1261, add
2 D. connecting new concepts to familiar ideas in mathematics E. using mathematical properties to support conclusions F. communicating findings for an audience outside of mathematics SE/TE: Chapter Projects: ; Real-World Snapshots: 62, 345, 627; Investigation: 44, 71, 186, 215, 243, 248, 305, 423, 486, 522, 608, 654, 688, 694 add-1061, add-1161, add-1261, add-1261, SE/TE: Chapter Projects: ; Real-World Snapshots: 62, 345, 627; Investigation: 44, 71, 186, 215, 243, 248, 305, 423, 486, 522, 608, 654, 688, 694 add-1061, add-1161, add-1261, add-1261, SE/TE: Chapter Projects: ; Real-World Snapshots: 62, 345, 627 add-1061, add-1161, add-1261, add-1261, CHANCE AND DATA ANALYSIS A student shall: A. demonstrate understanding of the statistical concepts of measures of center, variability, and rank; differences between correlation and causation; sampling procedures; line or curve of best fit; and concepts related to uncertainty of randomness, permutations, combinations, and theoretical and experimental probabilities; B. investigate a problem of significance by formulating a complex question, designing a statistical study, collecting data, representing data appropriately, using appropriate statistics to summarize data, determining whether additional data and analysis are necessary, drawing conclusions based on data, and communicating the results appropriately for the intended audience. SE/TE: , 170, 425, , , , TR: Grab & Go Chapter 3 Support File: 3-3; Grab & Go Chapter 12 Support File: 12-6, 12-8 TECH: itext: 3-3, 12-6, 12-8; web codes: ada-0303, ada-1206, ada-1208 SE/TE: , 634, , , , , Real-World Snapshots: TR: Grab & Go Chapter 12 Support File: 12-1, 12-2, 12-3 TECH: 634, itext: 12-1, 12-2, 12-2, 12-3; web codes: ada-1201, ada-1202, ada
3 C. analyze and evaluate the statistical design, survey procedures, and reasonableness of mathematical conclusions in a published study or article; D. use probability experiments, simulations, or theory to model situations involving uncertainty SE/TE: , , TR: Grab & Go Chapter 12 Support File: 12-1, 12-3, 12-8 TECH: itext: 12-1, 12-3, 12-8; web codes: ada-1201, ada-1203, ada-1208 SE/TE: , , , , , TR: Grab & Go Chapter 6 Support File: 6-4; Grab & Go Chapter 12 Support File: 12-4, 12-5, 12-6, 12-7, 12-9 TECH: itext: 6-4, 12-4, 12-5, 12-6, 12-7, 12-9; web codes: ada-0604, ada-1204, ada-1205, ada-1206, ada-1207, ada E. make predictions based on the model SE/TE: , , , TR: Grab & Go Chapter 10 Support File: 10-8, Grab & Go Chapter 12 Support File: 12-9 T-CH: itext: 10-8, 12-9; web codes: ada-1008, ada-1209 DISCRETE MATHEMATICS A student shall use discrete structures to demonstrate mathematical relationships and solve problems by: A. describing the difference between discrete and continuous models of data and permutations, combinations, and other principles of systematic counting; B. translating between real-world situations and discrete mathematical models using vertex-edge graphs, matrices, verbal descriptions, and sequences; C. analyzing and modeling iterative and recursive patterns; SE/TE: 650, , TR: Grab & Go Chapter 12 Support File: 12-4, 12-6 TECH: itext: 12-4, 12-6; web codes: ada-1204, ada-1206 SE/TE: 35-37, 40-41, 59, , 502, , , TR: Grab & Go Chapter 1 Support File: 1-7, 1-8; Grab & Go Chapter 13 Support File: 13-1, 13-2 TECH: itext: 1-7, 1-8, 13-1, 13-2; web codes: ada-0107, ada-0108, ada-1301, ada-1302 SE/TE: 35-37, 40-41, 59, , TR: Grab & Go Chapter 1 Support File: 1-7, 1-8; Grab & Go Chapter 13 Support File: 13-1 TECH: itext: 1-7, 1-8, 13-1; web codes: ada-0107, ada-0108, ada
4 D. analyzing and solving problems by building discrete mathematical models, developing and comparing algorithms or sequences of procedures, and determining whether solutions exist, the number of possible solutions, and the best solutions; E. using properties of mathematics to justify reasoning in a logical argument SE/TE: 8-10, ; More Than One Way: 10, 188, 666 TR: Grab & Go Chapter 1 Support File: 1-2; Grab & Go Chapter 8 Support File: 8-7 TECH: itext: 1-2, 8-7; web codes: ada-0102, ada-0807 SE/TE: 35-37, 44, 59, 77, 96-97, 273 TR: Grab & Go Chapter 1 Support File: 1-7; Grab & Go Chapter 2 Support File: 2-7 TECH: itext: 1-7, 2-7; web codes: ada-0107, ada-0207 ALGEBRAIC PATTERNS A student shall demonstrate the ability to identify rates of change in different models of linear relationships and know characteristics of polynomial, exponential, and periodic functions and relations; functional notation; and terminology by: A. translating between real-world situations and mathematical models using graphs; matrices; data tables, spread sheets, or both; verbal descriptions; and algebraic expressions; B. generalizing patterns and building mathematical models to describe and predict real situations including linear, exponential growth and decay, and periodic; C. using algebraic concepts and processes to represent and solve problems involving variable quantities; SE/TE: Math at Work: 29, 99, 167, 208, 257, 337, 371, 416, 463, 526, 589, 663, 697; Real World Snapshots: 62-63, , , , , , , , , , , , 736-; Real-World Problem Solving is found in each lesson and within the exercises for example: 5, 7, 10, 15, 16, 18, TECH: web codes: ade- 0153, ade-0253, ade-0353, ade-0453, ade-0553, ade- 0653, ade-0753, ade-0853, ade-0953, ade1053, ade-1153, ade-1253, ade-1353 SE/TE: , 413, , , , 730 TR: Grab & Go Chapter 8 Support File: 8-2, 8-4, 8-7; Grab & Go Chapter 13 Support File: 13-3 TECH: itext: 8-2, 8-4, 8-7, 13-3; web codes: ada-0802, ada-0804, ada-0807, ada-1303 SE/TE: 4-5, 14-15, 57, 73, 76-77, 202, , , , 607 TR: Grab & Go Chapter 1 Support File: 1-1, 1-3; Grab & Go Chapter 2 Support File: 2-3; Grab & Go Chapter 4 Support File: 4-6; Grab & Go Chapter 7 Support File: 7-5, 7-7; Grab & Go Chapter 8 Support File: 8-2 TECH: itext: 1-1, 1-3, 2-3, 4-6, 7-5, 7-7, 8-2; web codes: ada-0101, ada-0103, ada-0203, ada-0406, ada-0705, ada- 0707, ada
5 D. using properties of algebra to justify reasoning using logical argument; SE/TE: 35-37, 44, 59, 77, 96-97, 273 TR: Grab & Go Chapter 1 Support File: 1-7, 1-9; Grab & Go Chapter 2 Support File: 2-3, 2-7 TECH: itext: 1-7, 1-9, 2-3, 2-7; web codes: ada-0107, ada-0109, ada-0203, ada-0207 TECHNICAL APPLICATIONS A student shall: A. demonstrate knowledge of computational technologies; how to use complex measurement equipment for several systems; how to convert between measuring systems; how to measure to scale; how to calculate quantities using algebraic formulas; how to read and interpret information in complex graphs, tables, and charges; scientific and exponential notation used in complex systems; trigonometric applications appropriate to technical situations; and fundamental geometric constructions or calculations used in drafting or construction; B. create a set of plans to design or modify a complex structure, product, or system by researching background information, calculating mathematical-specifications, and developing a materials list that matches mathematicalspecifications; C. construct a complex structure, product, or model to mathematical-specifications; SE/TE: , 170, , , , 610; Real-World Connection - Architecture: 120, 302, 303, 386, 404, 460, 473, 556, 601; Real-World Snapshots: TR: Grab & Go Chapter 3 Support File: 3-7; Grab & Go Chapter 4 Support File: 4-9; Grab & Go Chapter 5 Support File: 5-5 TECH: itext: 3-7, 4-9, 5-5; web codes: ada-0307, ada-0409, ada-0505, ade SE/TE: Chapter Projects: TECH: web codes: add-0161 SE/TE: Chapter Projects: TECH: web codes: add
6 D. construct a complex structure, product, or system for purposes of maintenance, repair, troubleshooting, or optimizing function. SE/TE: Chapter Projects: TECH: web codes: add-0161 SHAPE, SPACE, AND MEASUREMENT A student shall: A. demonstrate understanding of the characteristics of geometric figures in both two and three dimensions, including reflections, rotation, and translations; congruence and similarity; perimeter, area, and volume; distance; scaling; and symmetry; SE/TE: 71, 144, , 340, , , , , , , 515, , , , , , 571, 573, , 622 TR: Grab & Go Chapter 2 Support File: 2-2; Grab & Go Chapter 3 Support File: 3-4; Grab & Go Chapter 6 Support File: 6-3; Grab & Go Chapter 9 Support File: 9-2, 9-3, 9-5, 9-8, 9-9, 9-10; Grab & Go Chapter 10 Support File: 10-1, 10-2, 10-3, 10-7, 10-9; Grab & Go Chapter 11 Support File: 11-3 TECH: itext: 2-2, 3-4, 6-3, 9-2, 9-3, 9-5, 9-8, 9-9, 9-10, 10-1, 10-2, 10-3, 10-7, 10-9, 11-3; web codes: ada-0202, ada-0304, ada-0603, ada-0902, ada-0903, ada- 0905, ada-0908, ada-0909, ada-0910, ada1001, ada-1002, ada-1003, ada-1007, ada- 1009, ada
7 B. use spatial visualization to model geometric structures and solve problems; C. analyze characteristics of shape, size, and space in art, architecture, design, or nature; D. translate between numerical relationships and geometric representations to analyze problem situations, scale models, or measurement; E. use properties of shape, location, or measurement to justify reasoning in a logical argument; SE/TE: , , , , 496, , , , , , , ; Real-World Snapshots: TR: Grab & Go Chapter Support File: TECH: 496; itext: 9-1, 9-3, 9-4, 9-6, 10-4, 10-5, 10-6, 10-7, 10-9; web codes: ada-0901, ada-0903, ada-0904, ada-0906, ada- 1004, ada-1005, ada-1006, ada-1007, ada- 1009, ade-0953 SE/TE: , 360, 430, 530, 535, 600, 615; Real- World Snapshots: TR: Grab & Go Chapter 6 Support File: 6-3 TECH: itext: 6-3; web codes: ada-0603, ade-1153 SE/TE: , 475, , , , , , 558, , , TR: Grab & Go Chapter 9 Support File: 9-2, 9-6; Grab & Go Chapter 10 Support File: 10-3, 10-5, 10-6, 10-7, 10-8 TECH: itext: 9-2, 9-6, 10-3, 10-5, 10-6, 10-7, 10-8; web codes: ada-0902, ada-0906, ada-1003, ada-1005, ada-1006, ada- 1007, ada-1008 SE/TE: 35-37, 44, TR: Grab & Go Chapter 1 Support File: 1-7, 1-9; Grab & Go Chapter 2 Support File: 2-7 TECH: itext: 1-7, 1-9, 2-7; web codes: ada-0107, ada-0109, ada
8 F. demonstrate understanding of measurement accuracy, error, and tolerances SE/TE: 258 8
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