Grades Prentice Hall. Precalculus, 4th Edition (Title ID: 1484) 2010 (Blitzer) Pre-Calculus (Course Number ; Intended Grade Level 9-12)

Transcription

1 Prentice Hall Precalculus, 4th Edition (Title D: 1484) 2010 (Blitzer) Grades 9-12 C O R R E L A T E D T O Pre-Calculus (Course Number ; ntended Grade Level 9-12)

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17 SUBJECT: GRADE LEVEL: COURSE TTLE: COURSE CODE: SUBMSSON TTLE: TTLE D: PUBLSHER: PUBLSHER D: Mathematics 9-12 Pre-Calculus Precalculus, 4th Edition by Blitzer Pearson publishing as Prentice Hall CORRELATON FLORDA DEPARTMENT OF EDUCATON NSTRUCTONAL MATERALS CORRELATON COURSE STANDARDS */M = NDEPTH OR MENTONED Committee Member Evaluation (Committee Member Use Only) BENCHMARK CODE BENCHMARKS DEPTH OF KNOWLEDGE PAGES OR LOCATONS WHERE BENCHMARK S DRECTLY ADDRESSED N MAJOR TOOL /M* Thoroughly Highly Adequately Minimally Not At All LA The student will use new vocabulary that is introduced and taught directly; SE/TE: This standard is address throughout the text. See, for example: 18, 29-30, 45, 55, 66, 81, , 113, 128, 145, 163, 177, 191, 202, 218, 231, 242, 251, 284, 300, 314, 325, 337, , 367, 378, 399, 412, 422, 435, 450, 474, 488, 500, 514, 535, 548, 564, 576, 595, 606, 617, 624, 638, 655, 663, 674, 684, 697, 711, 720, 746, 766, 776, 789, 797, 817, , 841, 855, 867, , 899, 911, 924, 934, 943, 961, 971, 985, 995, 1002, 1013, , 1049, 1061, 1068, LA The student will use background knowledge of subject and related content areas, prereading strategies (e.g., previewing, discussing, generating questions), text features, and text structure to make and confirm complex predictions of content, purpose, and organization of a reading selection; SE/TE: This standard is address throughout the text. See, for example: 5-15, 56-65, , , , , , , , , , , , , , , , , , , , , , , , , , , , LA The student will identify cause-and-effect relationships in text; M LA The student will prewrite by making a plan for writing that addresses purpose, audience, a controlling idea, logical sequence, and time frame for completion; and SE/TE: Opportunities to address this standard can be found throughout the text. See, for example: 18, 29-30, 45, 55, 66, 81, , 113, 128, 145, 163, 177, 191, 202, 218, 231, 242, 251, 284, 300, 314, 325, 337, , 367, 378, 399, 412, 422, 435, 450, 474, 488, 500, 514, 535, 548, 564, 576, 595, 606, 617, 624, 638, 655, 663, 674, 684, 697, 711, 720, 746, 766, 776, 789, 797, 817, , 841, 855, 867, , 899, 911, 924, 934, 943, 961, 971, 985, 995, 1002, 1013, , 1049, 1061, 1068, M

18 BENCHMARK CODE BENCHMARKS DEPTH OF KNOWLEDGE PAGES OR LOCATONS WHERE BENCHMARK S DRECTLY ADDRESSED N MAJOR TOOL /M* Thoroughly Highly Adequately Minimally Not At All LA The student will prewrite by using organizational strategies and tools (e.g., technology, spreadsheet, outline, chart, table, graph, Venn Diagram, web, story map, plot pyramid) to develop a personal organizational style. Opportunities to address this standard can be found throughout the text. See, for example: SE/TE: 18, 29-30, 45, 55, 66, 81, , 113, 128, 145, 163, 177, 191, 202, 218, 231, 242, 251, 284, 300, 314, 325, 337, , 367, 378, 399, 412, 422, 435, 450, 474, 488, 500, 514, 535, 548, 564, 576, 595, 606, 617, 624, 638, 655, 663, 674, 684, 697, 711, 720, 746, 766, 776, 789, 797, 817, , 841, 855, 867, , 899, 911, 924, 934, 943, 961, 971, 985, 995, 1002, 1013, , 1049, 1061, 1068, M LA The student will draft writing by establishing a logical organizational pattern with supporting details that are substantial, specific, and relevant; and SE/TE: Opportunities to address this standard can be found throughout the text. See, for example: 18, 29-30, 45, 55, 66, 81, , 113, 128, 145, 163, 177, 191, 202, 218, 231, 242, 251, 284, 300, 314, 325, 337, , 367, 378, 399, 412, 422, 435, 450, 474, 488, 500, 514, 535, 548, 564, 576, 595, 606, 617, 624, 638, 655, 663, 674, 684, 697, 711, 720, 746, 766, 776, 789, 797, 817, , 841, 855, 867, , 899, 911, 924, 934, 943, 961, 971, 985, 995, 1002, 1013, , 1049, 1061, 1068, M MA.912.A.4.5 Graph polynomial functions with and without technology and describe end behavior. Moderate SE/TE: , , 339, 382, MA.912.A.4.6 Use theorems of polynomial behavior (including but not limited to the Fundamental Theorem of Algebra, Remainder Theorem, the Rational Root Theorem, Descartes' Rule of Signs, and the Conjugate Root Theorem) to find the zeros of a polynomial function. Moderate SE/TE: , 312, , , , , , 949 MA.912.A.4.7 Write a polynomial equation for a given set of real and/or complex roots. Moderate SE/TE: 333, 336, 339, 383, 386 MA.912.A.4.8 MA.912.A.5.6 MA.912.A.9.1 Describe the relationships among the solutions of an equation, the zeros of a function, the x-intercepts of a graph, and the factors of a polynomial expression with and without technology. dentify removable and non-removable discontinuities, and vertical, horizontal, and oblique asymptotes of a graph of a rational function, find the zeros, and graph the function. Write the equations of conic sections in standard form and general form, in order to identify the conic section and to find its geometric properties (foci, asymptotes, eccentricity, etc.). Moderate SE/TE: , 323, 326, , 330 Moderate SE/TE: , , 358, 383, 386 Moderate SE/TE: 884, , 898, , 910, MA.912.A.9.2 Graph conic sections with and without using graphing technology. Moderate SE/TE: , 880, , , , 903, , , 916, , 924, , MA.912.A.9.3 Solve real-world problems involving conic sections High SE/TE: , , , 943, MA.912.C.1.1 Understand the concept of limit and estimate limits from graphs and tables of values. Moderate SE/TE: , , MA.912.C.1.2 Find limits by substitution. Low SE/TE: , 1070, MA.912.C.1.3 Find limits of sums, differences, products, and quotients. Low SE/TE: , 1057, 1060, 1062, 1069,

19 BENCHMARK CODE BENCHMARKS DEPTH OF KNOWLEDGE PAGES OR LOCATONS WHERE BENCHMARK S DRECTLY ADDRESSED N MAJOR TOOL /M* Thoroughly Highly Adequately Minimally Not At All MA.912.C.1.4 Find limits of rational functions that are undefined at a point. Low SE/TE: , , 1070, MA.912.C.1.5 Find one-sided limits. Low SE/TE: , 1058, , , MA.912.C.1.9 Understand continuity in terms of limits. High SE/TE: , MA.912.C.1.10 Decide if a function is continuous at a point. High SE/TE: , , MA.912.C.1.11 Find the types of discontinuities of a function. Moderate SE/TE: 1063 M MA.912.C.1.12 Understand and use the ntermediate Value Theorem on a function over a closed interval. Moderate SE/TE: 309, 312 M MA.912.C.1.13 Understand and apply the Extreme Value Theorem: f f(x) is continuous over a closed interval, then f has a maximum and a minimum on the interval. Moderate SE/TE: Opportunities to address this standard can be found on the following page: 309 M MA.912.D.1.3 MA.912.D.9.1 MA.912.D.9.2 Use mathematical induction to prove various concepts in number theory (such as sums of infinite integer series, divisibility statements, and parity statements), recurrence relations, and other applications. Demonstrate an understanding of the geometric interpretation of vectors and vector operations including addition, scalar multiplication, dot product, and cross product in the plane and in three-dimensional space. Demonstrate an understanding of the algebraic interpretation of vectors and vector operations including addition, scalar multiplication, dot product, and cross product in the plane and in three-dimensional space. High SE/TE: , 1032, 1034 Moderate SE/TE: , , , , Moderate SE/TE: , , , , MA.912.D.9.3 Use vectors to model and solve application problems. High SE/TE: , , , MA.912.D.10.1 MA.912.D.10.2 Sketch the graph of a curve in the plane represented parametrically, indicating the direction of motion. Convert from a parametric representation of a plane curve to a rectangular equation and vice-versa. Moderate SE/TE: , , , 1036 Low SE/TE: , , , 1036 MA.912.D.10.3 Use parametric equations to model applications of motion in the plane. Moderate SE/TE: , 948 M MA.912.D.11.4 Find partial sums of arithmetic and geometric series, and find sums of infinite convergent geometric series. Use Sigma notation where applicable. Moderate SE/TE: , 981, 983, 987, , MA.912.T.1.1 Convert between degree and radian measures. Moderate SE/TE: , 473, 514, 577, 580, , 642 MA.912.T.1.2 Define and determine sine and cosine using the unit circle. Moderate SE/TE: , , , 580 MA.912.T.1.3 State and use exact values of trigonometric functions for special angles: Â multiples of and (degree and radian measures). Low SE/TE: , 484, , , 498, , , 515, , 583 MA.912.T.1.4 MA.912.T.1.5 Find approximate values of trigonometric and inverse trigonometric functions using appropriate technology. Make connections between right triangle ratios, trigonometric functions, and circular functions. Low SE/TE: , 558, 563 Moderate SE/TE: , 484, 488,

20 BENCHMARK CODE BENCHMARKS DEPTH OF KNOWLEDGE PAGES OR LOCATONS WHERE BENCHMARK S DRECTLY ADDRESSED N MAJOR TOOL /M* Thoroughly Highly Adequately Minimally Not At All MA.912.T.1.6 Define and graph trigonometric functions using domain, range, intercepts, High SE/TE: , , , , 642, 726, period, amplitude, phase shift, vertical shift, and asymptotes with and without the 872, 950, 1036, 1086 use of graphing technology. MA.912.T.1.7 Define and graph inverse trigonometric relations and functions. Moderate SE/TE: , , 563, 565 MA.912.T.1.8 Solve real-world problems involving applications of trigonometric functions using graphing technology when appropriate. High SE/TE: , , MA.912.T.2.1 Define and use the trigonometric ratios (sine, cosine, tangent, cotangent, secant, cosecant) in terms of angles of right triangles. Moderate SE/TE: , 515, 581 MA.912.T.2.2 Solve real-world problems involving right triangles using technology when appropriate. High SE/TE: , 113, 132, 134, , , 515, 581 MA.912.T.2.3 MA.912.T.2.4 Apply the laws of sines and cosines to solve real-world problems using technology. Use the area of triangles given two sides and an angle or three sides to solve real-world problems. High SE/TE: , , , , 685, 724 Moderate SE/TE: , 724 M MA.912.T.3.1 Verify the basic Pythagorean identities, such as, and show they are equivalent to the Pythagorean Theorem. Moderate SE/TE: Opportunities to address this standard can be found on the following page: 586 M MA.912.T.3.2 Use basic trigonometric identities to verify other identities and simplify expressions. Moderate SE/TE: , 599, , , 613, 615, , , 625, , 726, 804, 872, 1036, 1086 MA.912.T.3.3 MA.912.T.3.4 MA.912.T.4.1 MA.912.T.4.2 MA.912.T.4.3 MA.912.T.4.4 Use the sum and difference, half-angle and double-angle formulas for sine, cosine, and tangent, when formulas are provided. Solve trigonometric equations and real-world problems involving applications of trigonometric equations using technology when appropriate. Define polar coordinates and relate polar coordinates to Cartesian coordinates with and without the use of technology. Represent equations given in rectangular coordinates in terms of polar coordinates. Graph equations in the polar coordinate plane with and without the use of graphing technology. Define the trigonometric form of complex numbers, convert complex numbers to trigonometric form, and multiply complex numbers in trigonometric form. Moderate SE/TE: , , , , 726 High SE/TE: , , 804, 872, 950, 1036, 1086 Moderate SE/TE: , , 685, 721, Moderate SE/TE: 670, , 686, Moderate SE/TE: , 724, 726, 1036, 1086 Moderate SE/TE: , , 724, 726 MA.912.T.4.5 Apply DeMoivre's Theorem to perform operations with complex numbers. Moderate SE/TE: , 722, , 1086

21 BENCHMARK CODE BENCHMARKS DEPTH OF KNOWLEDGE PAGES OR LOCATONS WHERE BENCHMARK S DRECTLY ADDRESSED N MAJOR TOOL /M* Thoroughly Highly Adequately Minimally Not At All Committee Member Evaluation (Committee Member Use Only) OVERALL NSTRUCTONAL QUALTY The major tool introduces and builds mathematical concepts as a coherent whole. t provides opportunities to students to explore why a mathematical idea is important and in which contexts that mathematical idea can be useful. n other words, the major tool helps students learn the mathematics concepts in depth. Additionally, students are given opportunities to connect conceptual knowledge with procedural knowledge and factual knowledge. Overall, there is an appropriate balance of skill development and conceptual understanding. DENTFY AN EXAMPLE (WTH PAGE NUMBERS OR LOCATON) DEEMED TYPCAL OF THE APPROACH TAKEN N THE MAJOR TOOL. The Examples can be from Student or Teacher nstructional Material. SE/TE: , , , , , , , , , Strongly Agree Agree Disagree Strongly Disagree Tasks are engaging and interesting enough that students want to pursue them. Real world problems are realistic and relevant to students lives. SE/TE: 125, 132, , 379, 396, 431, 536, 576, , Problem solving is encouraged by the tasks presented to students. Tasks require students to make decisions, determine strategies, and justify solutions. SE/TE: , , , , , , 720, , , Tasks engage students in communicating mathematical ideas by writing, explaining, drawing, using symbols, talking, listening, and reading for information. Tasks encourage collaboration, discussion, individual accountability, and positive interdependence. Students are given opportunities to create and use representations to organize, record, and communicate their thinking. Tasks promote use of multiple representations and translations among them. Students use a variety of tools to understand a single concept. The mathematics connects to other disciplines such as reading, art, science, and history. Tasks represent mathematical ideas as interconnected and building upon each other. Tasks require students to make conjectures, justify their thinking, defend their responses by using mathematical arguments, and prove mathematical statements. Students are encouraged to invent and justify solution methods. Students analyze correct and incorrect solution methods. SE/TE: , , , , , 797, 841, , , SE/TE: , , , , , 404, , , , SE/TE: 81, , 178, 251, 398, , , 800, 943, 1061 SE/TE: 115, 232, 285, 400, 565, 674, 684, 867, 924, 1082

22 CORRELATON FLORDA DEPARTMENT OF EDUCATON NSTRUCTONAL MATERALS CORRELATON ACCESS PONTS SUBJECT: Mathematics GRADE LEVEL: 9-12 COURSE TTLE: Pre-Calculus COURSE CODE: SUBMSSON TTLE: Precalculus, 4th Edition by Blitzer 2010 TTLE D: 1484 PUBLSHER: Pearson publishing as Prentice Hall PUBLSHER D: */M = NDEPTH OR MENTONED Committee Member Evaluation (Committee Member Use Only) ACCESS PONT CODE ACCESS PONT DESCRPTON PAGES OR LOCATONS WHERE ACCESS PONT S DRECTLY ADDRESSED N MAJOR TOOL /M* Thoroughly Highly Adequately Minimally Not At All MA.912.T.2.n.a MA.912.T.2.Su.a Compare the length of the straight sides in a right triangle with the length of the side opposite the right angle (hypotenuse) by measuring the sides. Measure the sides of a right triangle to determine which side is the longest. SE/TE: Opportunities to address this standard can be found on the following pages: SE/TE: Opportunities to address this standard can be found on the following pages: S M M MA.912.T.2.Pa.a Recognize a right triangle in objects, pictures, or signs in real-world situations. SE/TE: , 113, 132, 134, , , 515, , 570, , MA.912.T.2.n.b dentify and construct right triangles to solve realworld problems. SE/TE: , 113, 132, 134, , , 515, , 570, , MA.912.T.2.Su.b Use right triangles to solve real-world problems. SE/TE: , 113, 132, 134, , , 515, , 570, ,