Prentice Hall Algebra & Trigonometry for College Readiness, (Lial et al.) 2011

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1 Prentice Hall Algebra & Trigonometry for College Readiness, (Lial et al.) 2011 C O R R E L A T E D T O

2 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 Apply and adapt a variety of appropriate strategies to solve problems. CLE Make and investigate mathematical conjectures. CLE Develop and evaluate mathematical arguments. CLE reasoning. Select and use various types of CLE Use the language of mathematics to express mathematical ideas precisely. CLE Recognize and use connections among mathematical ideas. CLE Understand how mathematical ideas interconnect and build on one another to produce a coherent whole. CLE Create and use representations to organize, record, and communicate mathematical ideas. CLE Select, apply, and translate among mathematical representations to solve problems. CLE Use technologies appropriately to develop understanding of abstract mathematical ideas. SE/TE: 60-67, , , , , , 622, , 759, , 899, , SE/TE: 221, , 393, 398, , , , 669, 737, , , , SE/TE: 130, , 306, , , 560, , , , , , 883, SE/TE: 306, , 669, 810, , , , SE/TE: 2-5, 84-88, 108, 236, , 380, 397, , , , , 606, 648, , 702, , , SE/TE: 18, 91 92, , , , , , SE/TE: , , , , , , , , , SE/TE: 2 11, 44, 52, 56, 60 61, 65 67, 72 78, 83 88, 91 96, , , 124, 130, , , 182, , , 505, 507, , , , 563, 605, , 634, 637, , , , , , , 738, 750, 770, 837, 890, , 917, 928, 930 SE/TE: 60-67, , , , , , , , , , SE/TE: 123, 208, 213, 383, , 562, , 602, 605, , , 679, 683, 754, , 775, 777, , , 793, , , 816, , , SE = Student Edition 1 TE = Teacher s Edition

3 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 Understand the capabilities and the limitations of calculators and computers in solving problems. CLE Represent, interpret or compare expressions for real numbers, including expressions utilizing exponents and logarithms. Standard 3 Algebra CLE 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, , 562, 564, , 602, , , 663, , 706, 737, , 775, 777, , , 793, , , 816, 837, , , , SE/TE: 2-11, 19, 23-28, 30 35, 91 92, , , , , , , 539, 548, 550, , , 566 For coverage of this objective, see the additional content available at: webcode: lik-000 Select: Algebra & Trigonometry for College Readiness CLE Identify or analyze the distinguishing properties of exponential, polynomial, logarithmic, trigonometric, and rational functions from tables, graphs, and equations. CLE Understand how the algebraic properties of an equation transform the geometric properties of its graph. CLE Solve nonlinear inequalities (quadratic, trigonometric, conic, exponential, and logarithmic). CLE 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 Understand the properties of conic sections whether displayed in equation or graphical form. Additional related material found within the text: SE/TE: , SE/TE: 320, , , , , , , 591, , , , , , , , , , , , SE/TE: , 348, 382, , , , 517, , 547, , , , , , , , , SE/TE: SE/TE: 52, , 170, , 311, , , , , , 495, , , , 552, , , 609, 717, 759, 777, 837, 860, 867 SE/TE: , , SE = Student Edition 2 TE = Teacher s Edition

4 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 Understand basic right triangle trigonometry and use it to solve problems. CLE 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: , SE/TE: , , , , , CLE Solve trigonometric equations. SE/TE: , CLE Apply trigonometric identities to rewrite expressions and solve equations. CLE problems. Apply vectors to solve real world SE/TE: , , , , , , SE/TE: 907 Standard 5 Data Analysis, Statistics, & Probability CLE Organize and display data using appropriate methods (including spreadsheets) to detect series, sequences, patterns and departure from patterns. CLE 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: webcode: lik-000 Select: Algebra & Trigonometry for College Readiness SE/TE: 108, 124, , 170, 495, 519, 533, 544, 609 SE/TE: 108, , 495, 519, 609 CLE Identify and interpret the correlation coefficient for a linear bivariate data set. CLE Use the binomial theorem to solve problems. Related material: SE/TE: For coverage of this objective, see the additional content available at: webcode: lik-000 Select: Algebra & Trigonometry for College Readiness CLE Recognize and explain the potential errors caused by extrapolating from data. Additional related material found within the text: SE/TE: , SE/TE: 256 SE = Student Edition 3 TE = Teacher s Edition

5 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

6 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.

Mathematics. Mathematics

Mathematics. Mathematics Mathematics Program Description Successful completion of this major will assure competence in mathematics through differential and integral calculus, providing an adequate background for employment in