Prentice Hall Algebra & Trigonometry for College Readiness, (Lial et al.) 2011 C O R R E L A T E D T O
Algebra and Trigonometry for College Readiness (Lial) 2011 Correlated to: TENNESSEE MATHEMATICS STANDARDS, DRAFT 5/2010, ADVANCED ALGEBRA AND TRIGONOMETRY Course #3124 ALGEBRA AND TRIGONOMETRY FOR COLLEGE READINESS (LIAL) 2011 NOTE: This course is designed as an alternative to the PreCalculus course and it is not intended for students to take both courses while in high school due to the overlap in content. Students choosing this course would be less likely to enroll in a STEM Calculus course upon entering college. However, this course will provide a foundation for students entering a business application Calculus course or below. Standard 1 Mathematical Processes CLE 3124.1.1 Apply and adapt a variety of appropriate strategies to solve problems. CLE 3124.1.2 Make and investigate mathematical conjectures. CLE 3124.1.3 Develop and evaluate mathematical arguments. CLE 3124.1.4 reasoning. Select and use various types of CLE 3124.1.5 Use the language of mathematics to express mathematical ideas precisely. CLE 3124.1.6 Recognize and use connections among mathematical ideas. CLE 3124.1.7 Understand how mathematical ideas interconnect and build on one another to produce a coherent whole. CLE 3124.1.8 Create and use representations to organize, record, and communicate mathematical ideas. CLE 3124.1.9 Select, apply, and translate among mathematical representations to solve problems. CLE 3124.1.10 Use technologies appropriately to develop understanding of abstract mathematical ideas. SE/TE: 60-67, 351 357, 452 454, 505 506, 572-575, 608 609, 622, 742-744, 759, 884 885, 899, 919 922, 930 931 SE/TE: 221, 386-391, 393, 398, 444 445, 555-558, 603-606, 669, 737, 810 813, 822 824, 833 834, 839 840 SE/TE: 130, 220-221, 306, 398-399, 444-445, 560, 588-591, 593-597, 749 750, 815 819, 822-823, 883, 895-896 SE/TE: 306, 444-445, 669, 810, 822-823, 895-896, 917 922, 927 932 SE/TE: 2-5, 84-88, 108, 236, 243 244, 380, 397, 402 404, 406 411, 555 560, 562-564, 606, 648, 660 661, 702, 749 750, 917 922, 927 932 SE/TE: 18, 91 92, 108-113, 150-157, 207-214, 511-514, 702-706, 850 851 SE/TE: 108-113, 117-124, 420-424, 555-560, 702-706, 749-754, 850 851, 903 908, 917 922, 927 932 SE/TE: 2 11, 44, 52, 56, 60 61, 65 67, 72 78, 83 88, 91 96, 108-110, 117 118, 124, 130, 143-146, 147-157, 182, 242-245, 260-262, 505, 507, 511 514, 518 519, 532 534, 563, 605, 614-616, 634, 637, 648 652, 660 661, 668 672, 678-680, 702 706, 709 713, 738, 750, 770, 837, 890, 903 908, 917, 928, 930 SE/TE: 60-67, 108-113, 135-138, 147 157, 243 245, 495-496, 532 534, 544-545, 588-592, 648-652, 903 908 SE/TE: 123, 208, 213, 383, 417 418, 562, 575-576, 602, 605, 607-608, 621-622, 679, 683, 754, 772-773, 775, 777, 783-784, 789-790, 793, 796-800, 812-813, 816, 852-856, 866 867, 872 873 SE = Student Edition 1 TE = Teacher s Edition
Algebra and Trigonometry for College Readiness (Lial) 2011 Correlated to: TENNESSEE MATHEMATICS STANDARDS, DRAFT 5/2010, ADVANCED ALGEBRA AND TRIGONOMETRY Standard 2 Number & Operations CLE 3124.2.1 Understand the capabilities and the limitations of calculators and computers in solving problems. CLE 3124.2.2 Represent, interpret or compare expressions for real numbers, including expressions utilizing exponents and logarithms. Standard 3 Algebra CLE 3124.3.1 Derive and use the formulas for the general term and summation of finite or infinite arithmetic and geometric series, if they exist. ALGEBRA AND TRIGONOMETRY FOR COLLEGE READINESS (LIAL) 2011 SE/TE: 123, 192, 208, 213, 383, 417 418, 562, 564, 575 576, 602, 607 608, 621 622, 663, 679 80, 706, 737, 771 773, 775, 777, 783 784, 789 790, 793, 796 800, 812 813, 816, 837, 852 857, 866 867, 872-873, 905 907 SE/TE: 2-11, 19, 23-28, 30 35, 91 92, 236-245, 380-384, 386-390, 393-399, 402-404, 406-411, 539, 548, 550, 555-560, 562-564, 566 For coverage of this objective, see the additional content available at: www.phschool.com, webcode: lik-000 Select: Algebra & Trigonometry for College Readiness CLE 3124.3.2 Identify or analyze the distinguishing properties of exponential, polynomial, logarithmic, trigonometric, and rational functions from tables, graphs, and equations. CLE 3124.3.3 Understand how the algebraic properties of an equation transform the geometric properties of its graph. CLE 3124.3.4 Solve nonlinear inequalities (quadratic, trigonometric, conic, exponential, and logarithmic). CLE 3124.3.5 Solve problems by converting the given verbal information into an appropriate mathematical model involving equations or systems of equations; apply appropriate techniques to analyze these mathematical models; and interpret the solution obtained in written form using appropriate units of measurement. CLE 3124.3.6 Understand the properties of conic sections whether displayed in equation or graphical form. Additional related material found within the text: SE/TE: 136 137, 540-541 SE/TE: 320, 347-348, 381-382, 490-496, 500-503, 539-541, 550-551, 591, 593-598, 601-609, 613-621, 677-680, 683-689, 702-706, 709-711, 749-754, 770-777, 788-793, 796-800, 851-856 SE/TE: 117 123, 348, 382, 491-494, 506 507, 510-513, 517, 540-541, 547, 550 551, 601 603, 613 620, 635 638, 641 645, 772-777, 781-785, 788-793, 796 800 SE/TE: 469-473 SE/TE: 52, 135-138, 170, 203 204, 311, 352-357, 361-367, 437 438, 452-454, 462-465, 495, 504-505, 518-521, 544-545, 552, 562 565, 573-575, 609, 717, 759, 777, 837, 860, 867 SE/TE: 634-638, 640-645, 648-652 SE = Student Edition 2 TE = Teacher s Edition
Algebra and Trigonometry for College Readiness (Lial) 2011 Correlated to: TENNESSEE MATHEMATICS STANDARDS, DRAFT 5/2010, ADVANCED ALGEBRA AND TRIGONOMETRY Standard 4 Geometry & Measurement : CLE 3124.4.1 Understand basic right triangle trigonometry and use it to solve problems. CLE 3124.4.2 Know how the trigonometric functions can be extended to the periodic functions on the real number line, derive basic formulas of these functions, and use these functions and formulas to solve problems. ALGEBRA AND TRIGONOMETRY FOR COLLEGE READINESS (LIAL) 2011 SE/TE: 702-706, 721-723 SE/TE: 749-754, 770-777, 781-785, 788-793, 796-800, 851-860 CLE 3124.4.3 Solve trigonometric equations. SE/TE: 863-867, 870-873 CLE 3124.4.4 Apply trigonometric identities to rewrite expressions and solve equations. CLE 3124.4.5 problems. Apply vectors to solve real world SE/TE: 810-813, 815-819, 822-825, 827-831, 833-837, 839-842, 870-872 SE/TE: 907 Standard 5 Data Analysis, Statistics, & Probability CLE 3124.5.1 Organize and display data using appropriate methods (including spreadsheets) to detect series, sequences, patterns and departure from patterns. CLE 3124.5.2 Create scatter plots, analyze patterns and describe relationships that exist in a set of linear and non-linear paired data to make predictions. For additional coverage of this objective, see the additional content available at: www.phschool.com, webcode: lik-000 Select: Algebra & Trigonometry for College Readiness SE/TE: 108, 124, 135-138, 170, 495, 519, 533, 544, 609 SE/TE: 108, 135-138, 495, 519, 609 CLE 3124.5.3 Identify and interpret the correlation coefficient for a linear bivariate data set. CLE 3124.5.4 Use the binomial theorem to solve problems. Related material: SE/TE: 136-138 For coverage of this objective, see the additional content available at: www.phschool.com, webcode: lik-000 Select: Algebra & Trigonometry for College Readiness CLE 3125.5.5 Recognize and explain the potential errors caused by extrapolating from data. Additional related material found within the text: SE/TE: 268 269, 920-922 SE/TE: 256 SE = Student Edition 3 TE = Teacher s Edition
Pearson Prentice Hall Algebra & Trigonometry for College Readiness (Lial) Narrative Brief I. Orientation and Clarification ALGEBRA & TRIGONOMETRY FOR COLLEGE READINESS, a brand new program from Pearson, is designed for students who have finished Algebra 2 but need an extra year of math to prepare for credit-bearing college level courses. This textbook is designed for courses as described in the Tennessee Curriculum Standards for Mathematics. 2. Program Description This is filled with ample exercises that provide students with plenty of practice to hone their skills. Problems are clearly stepped out to enhance student understanding. Each chapter provides a supportive approach with a lot of practice for students who need it and a traditional approach of skill-building and problemsolving practice, with many excellent applications included. Contents include: 1. Review of the Real Number System 2. Linear Equations, Inequalities, and Applications 3. Graphs, Linear Equations, and Functions 4. Systems and Matrices 5. Exponents, Polynomials, and Polynomial Functions 6. Factoring 7. Rational Expressions and Functions 8. Roots, Radicals, and Root Functions 9. Quadratic Equations and Inequalities 10. Additional Graphs of Functions and Relations 11. Inverse, Exponential, and Logarithmic Functions 12. Polynomial and Rational Functions 13. Conic Sections and Nonlinear Systems 14. Trigonometric Functions 15. Acute Angels and Right Triangles 16. Radian Measure and Circular Functions 17. Graphs of the Circular Functions 18. Trigonometric Identities 19. Inverse Circular Functions and Trigonometric Equations 20. Oblique Triangles and Vectors Appendix A: Counting Theory Appendix B: Basics of Probability
Each section begins with an overview of the objectives for that section. The authors walk students through the instruction for each objective, and then follow this instruction with clearly stepped out examples that are enhanced with visual reinforcement (e.g. diagrams, figures, tables, etc.). The examples are then followed up with Now Try exercises to help students practice and assess their conceptual understanding of the content just learned. Each section contains Caution notes to help students prevent common errors. An end-of-chapter Summary reviews Key Terms and New Symbols in addition to providing a Quick Review of concepts with examples. The Summary is followed by a set of chapter Review Exercises. MathXL for School, a powerful online practice, tutorial, and assessment program, is available as a separate purchase to enhance the program. 3. Assessment Assessment can be found within each section of each chapter in the form of Now Try exercise sets that provide practice and concept checks of students understanding of the content in each section. A TestGen assessment CD-ROM is also provided as a teacher supplement. MathXL for School, described above, is available as a separate purchase and also provides enhanced and personalized online assessment opportunities.