Read McDougal Littell Algebra 1 2007 text version

and the

Tennessee Curriculum Companion

correlated to the

Tennessee Mathematics Standards

Algebra I

Holt McDougal Larson Algebra 1 for Tennessee High School Mathematics

ORIENTATION AND CLARIFICATION Holt McDougal Larson Algebra 1 meets Tennessee's standards for an Algebra I course (3102). The program includes the following components: · Student Edition with a Tennessee Curriculum Companion · Teacher Edition with a Tennessee Curriculum Companion TE · eEdition Online with access for 6 years · Classroom manipulatives kit · Tennessee EOC Test Prep Workbook · various gratis items for planning, presenting, and assessing lessons PROGRAM DESIGN Holt McDougal Larson Algebra 1 is a balanced program that incorporates both traditional and constructivist methodologies. On the traditional side are lessons with important ideas stated in Key Concept boxes, worked-out examples that show and explain steps, and ample practice exercises tied to the examples. On the constructivist side are activities, in both the Student Edition and the gratis Activity Generator CD-ROM, that engage students in exploring mathematical ideas and drawing conclusions. The eEdition Online also offers animations, embedded within lessons, that give students opportunities to interact dynamically with the mathematics they are learning. Holt McDougal Larson Algebra 1 supports differentiated instruction in a variety of ways: Both within a lesson and across lessons, mathematical concepts generally progress from simple to more complex and from pure mathematics to real-world problem solving, allowing teachers to decide how far to take students. Key Concept boxes present mathematical ideas in multiple forms, such as words, symbols, and graphs, to facilitate different learning styles. Problem Solving Workshops discuss alternative ways of solving problems. Exercise sets provide leveled practice for differentiating assignments. The Teacher Edition includes Differentiated Instruction notes with suggestions for teaching below-level students, advanced students, English learners, and visual/kinesthetic/auditory learners.

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Additional strategies and worksheets for differentiating instruction are in the Differentiated Instruction Resources and Pre-AP Resources ancillaries, which are available on the gratis EasyPlanner DVD. Holt McDougal Larson Algebra 1 offers students built-in support for refreshing prerequisite skills and maintaining on-level skills. The Skills Readiness Pre-Course Test, which appears in the Tennessee Curriculum Companion, checks students' readiness for Algebra I and sends students to the Skills Readiness ancillary, available on the gratis EasyPlanner DVD, for remediation. Similarly, the Prerequisite Skills quiz at the beginning of each chapter in the Student Edition checks students' readiness for the chapter and sends students to the Skills Readiness ancillary for remediation. For maintaining on-level skills, the Student Edition includes, at the end of every lesson, Mixed Review exercises that direct students either to earlier lessons or to the Skills Review Handbook at the back of the book for remediation. The Student Edition also includes, twice per chapter, a page of Mixed Review of Problem Solving exercises, which give students practice in solving problems outside the context of the lessons where specific problem solving techniques are taught. Holt McDougal Larson Algebra 1 fully addresses the Tennessee Mathematics Standards for an Algebra I course. The following table gives a rough indication of where each of Tennessee's five strands for Algebra I are taught in Holt McDougal Larson Algebra 1. Strand Mathematical Processes Number & Operations Algebra Geometry & Measurement Data Analysis, Statistics, & Probability Holt McDougal Larson Algebra 1 Throughout the book Chapters 1 and 11 Chapters 2­10 and 12 Chapter 11 Chapter 13

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RELEVANT RESEARCH Holt McDougal Larson Algebra 1 is written by an experienced author team: Ron Larson, a professor of mathematics; Laurie Boswell, a current middle school math teacher; Tim Kanold, a former high school math teacher and director of mathematics; and Lee Stiff, a professor of mathematics education. The authors bring a wealth of classroom experience and mathematical expertise to the teaching and learning of mathematics. The lessons and activities in Holt McDougal Larson Algebra 1 reflect the best practices of successful teachers. Information and feedback that guided the development of the series were gathered from a variety of sources: classroom visits, nationwide research surveys, teacher panels, student discussion groups, focus tests, and curriculum advisers and reviewers. In addition, learner verification was conducted after publication to verify the effectiveness of the programs. ASSESSMENT COMPONENTS Holt McDougal Larson Algebra 1 has assessment options built into the Student Edition, the Teacher Edition, and the ancillary package: · In the SE, lessons include Guided Practice exercises after examples to check students' understanding of the examples. There are also Prerequisite Skills quizzes at the beginnings of chapters, quizzes over groups of lessons within chapters, and tests at the ends of chapters. · In the TE, there are Warm-Up Exercises for starting lessons and Daily Homework Quizzes for ending lessons. · The Assessment Book, part of the gratis EasyPlanner DVD, offers assessments of various types, including alternative assessments. · The gratis Test Generator CD-ROM includes an extensive bank of static and dynamic test questions so that teachers can develop customized assessments. Holt McDougal Larson Algebra 1 offers support for Tennessee's End of Course Assessment for Algebra I. In the front of the Student Edition is a Countdown to EOC that provides test prep practice for the weeks leading up to the test. In addition, the Tennessee EOC Test Prep Workbook provides practice for each state performance indicator for Algebra I. Finally, the test questions on the Test Generator CD-ROM have been correlated to the Tennessee Mathematics Curriculum Framework, allowing teachers to create worksheets targeted at specific state performance indicators as well as practice tests covering a variety of state performance indicators.

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Holt McDougal Larson Algebra 1 ©2011

and the

Tennessee Curriculum Companion

correlated to the

Tennessee Mathematics Standards Algebra I

STANDARDS DESCRIPTOR PAGE CITATIONS

STANDARD I ­ MATHEMATICAL PROCESSES Course Level Expectations Use mathematical language, symbols, definitions, proofs and counterexamples correctly and precisely in mathematical reasoning. Apply and adapt a variety of appropriate strategies to problem solving, including testing cases, estimation, and then checking induced errors and the reasonableness of the solution. Develop inductive and deductive reasoning to independently make and evaluate mathematical arguments and construct appropriate proofs; include various types of reasoning, logic, and intuition. Move flexibly between multiple representations (contextual, physical, written, verbal, iconic/pictorial, graphical, tabular, and symbolic), to solve problems, to model mathematical ideas, and to communicate solution strategies. This standard is addressed throughout the text. See, for example, pages: SE: 53, 67, 68, 77, 105, 109, 113, 120, 130-131, 182, 271, 282, 362, 414-415, 493, 499, 558, 592, 624, 673, 695, 736, 753, 754, 762, 871 This standard is addressed throughout the text. See, for example, pages: SE: 28-33, 34, 48, 55, 129, 146, 179, 187, 252, 375-376, 378, 659-660, 769, 790, 858, 890, 936-937 This standard is addressed throughout the text. See, for example, pages: SE: 14, 68, 79, 109, 113, 117-118, 241, 362, 379, 493, 499, 558, 611, 639, 724, 736, 741, 774, 790, 855, 858, 878 This standard is addressed throughout the text. See, for example, pages: SE: 37, 39-40, 42-48, 93, 159, 188, 211, 374, 493, 624, 658, 690, 725, 781, 808, 854

CLE 3102.1.1

CLE 3102.1.2

CLE 3102.1.3

CLE 3102.1.4

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Holt McDougal Larson Algebra 1 ©2011 and the Tennessee Curriculum Companion correlated to the Tennessee Mathematics Standards: Algebra I

STANDARDS

DESCRIPTOR

Recognize and use mathematical ideas and processes that arise in different settings, with an emphasis on formulating a problem in mathematical terms, interpreting the solutions, mathematical ideas, and communication of solution strategies. Employ reading and writing to recognize the major themes of mathematical processes, the historical development of mathematics, and the connections between mathematics and the real world. Use technologies appropriately to develop understanding of abstract mathematical ideas, to facilitate problem solving, and to produce accurate and reliable models.

PAGE CITATIONS

This standard is addressed throughout the text. See, for example, pages: SE: 27, 70, 93, 119, 208, 233, 282, 300-301, 465, 559, 590-591, 633634, 659-660, 704-705, 742, 752, 801, 808, 894

CLE 3102.1.5

CLE 3102.1.6

This standard is addressed throughout the text. See, for example, pages: SE: 36, 44, 66, 97, 106, 112, 150, 230, 231, 241, 271, 329, 415, 666, 688, 724, 769, 791, 858 This standard is addressed throughout the text. See, for example, pages: SE: 13, 41, 160, 222, 290-291, 331, 378, 519, 633, 639, 648, 650-651, 692-693, 715, 717, 773-774, 792-793, 860

CLE 3102.1.7

Checks for Understanding (Formative/Summative Assessment) 3102.1.1 Develop meaning for mathematical vocabulary. This standard is addressed throughout the text. See, for example, pages: SE: 2, 35, 53, 64, 89, 187, 239, 271, 345, 475, 616, 688, 754, 823, 896 This standard is addressed throughout the text. See, for example, pages: SE: 10, 47, 60, 67, 106, 201, 239, 257, 271, 338, 352, 415, 456, 511, 543, 616, 624, 644, 688, 740, 754, 823, 896 This standard is addressed throughout the text. See, for example, pages: SE: 2-3, 9, 17, 42, 66, 105, 162, 262, 344, 414, 474, 522, 542, 607, 644, 695, 753, 812, 852 SE: 35-40, 56, 297, 310, 488, 540, A5

3102.1.2

Use the terminology of mathematics correctly.

3102.1.3 3102.1.4

Understand and use mathematical symbols, notation, and common mathematical abbreviations correctly. Write a rule with variables that expresses a pattern.

3102.1.5

Use formulas, equations, and inequalities to solve real-world problems including time/rate/distance, percent increase/decrease, ratio/proportion, and mixture problems.

This standard is addressed throughout the text. See, for example, pages: SE: 30-31, 92, 139-140, 143, 145-146, 152-153, 159, 164, 166-167, 182-183, 186, 188-189, 237, 241-242, 258-259, 360-361, 365, 367-368, 371, 373-374, 383, 386-387, 402-403, 429, 432-433, 437-438, 440-441, 449-450, 465, 468, 471, 473, 579-580, 581, 612, 646, 648-649, 657, 660, 661, 667-668, 733-735, 749, 750, 752, 771-772, 790-791, 822

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Holt McDougal Larson Algebra 1 ©2011 and the Tennessee Curriculum Companion correlated to the Tennessee Mathematics Standards: Algebra I

STANDARDS

3102.1.6 3102.1.7

DESCRIPTOR

Use a variety of strategies to estimate and compute solutions, including real-world problems. Identify missing or irrelevant information in problems. Recognize and perform multiple steps in problem solving when necessary. Identify and use properties of the real numbers (including commutative, associative, distributive, inverse, identity element, closure, reflexive, symmetric, transitive, operation properties of equality). Use algebraic properties to develop a valid mathematical argument. Use manipulatives to model algebraic concepts. Create and work flexibly among representations of relations (including verbal, equations, tables, mappings, graphs). Change from one representation of a relation to another representation, for example, change from a verbal description to a graph. Apply graphical transformations that occur when changes are made to coefficients and constants in functions. SE: SE:

PAGE CITATIONS

79, 92, 107, 178, 182, 252, 308, 378, 395, 404, 538, 633, 655, 659, 691, 782, 790, 801, 805, 807, 808, 809, 817, 818, 825 29, 31

3102.1.8

This standard is addressed throughout the text. See, for example, pages: SE: 6, 27, 51, 69, 78, 107, 140, 161, 167, 211, 220, 233, 241, 317, 360, 403, 440, 473, 517, 541, 581, 661, 668, 683, 715, 725, 735, 748, 771, 801, 825, 870 SE: 2, 75, 76, 77, 89-91, 96-100, 101, 103, 104, 106, 117-118

3102.1.9

3102.1.10 3102.1.11 3102.1.12

SE: SE: SE: SE:

90, 91, 97, 100, 117-118 73, 132-133, 404, 433, 561, 582, 592, 662, 764, 783 35-50, 56, 297 35-50, 56, 262-268, 283-308, 405-412, 531-538, 628-649, 710-716

3102.1.13

3102.1.14

SE:

262-267, 263-265, 266, 267, 396-397, 630, 632, 633, 710-711, 713, 715

3102.1.15

Apply arithmetic concepts in algebraic contexts.

This standard is addressed throughout the text. See, for example, pages: SE: 77, 78-79, 81, 82, 83-84, 90, 91, 92-93, 134-140, 141-146, 148153, 154-159, 163-167, 168-173, 357-361, 363-368, 369-374, 390395, 435-441, 444-450, 451-457, 555-559, 562-568, 652-658, 664668, 671-676, 783, 784-788 SE: 235-250, 283-299

3102.1.16

Understand and express the meaning of the slope and yintercept of linear functions in real-world contexts.

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Holt McDougal Larson Algebra 1 ©2011 and the Tennessee Curriculum Companion correlated to the Tennessee Mathematics Standards: Algebra I

STANDARDS

3102.1.17

DESCRIPTOR

Connect the study of algebra to the historical development of algebra. Translate syntax of technology to appropriate mathematical notation. Recognize and practice appropriate use of technology in representations and in problem solving. Estimate solutions to evaluate the reasonableness of results and to check technological computation. SE: 736, 737, 741

PAGE CITATIONS

3102.1.18

This standard is addressed throughout the text. See, for example, pages: SE: 13, 41, 160, 222, 290-291, 331, 378, 388, 434, 519, 633, 639, 648, 650-651, 692-693, 715, 717, 773-774, 792-793, 849, 860, 880, 893 This standard is addressed throughout the text. See, for example, pages SE: 13, 41, 160, 222, 290-291, 331, 378, 519, 633, 639, 648, 650-651, 692-693, 715, 717, 773-774, 792-793, 860 SE: 79, 92, 107, 178, 182, 252, 308, 378, 395, 404, 538, 633, 655, 659, 691, 782, 790, 801, 805, 807, 808, 809, 817, 818, 825

3102.1.19

3102.1.20

State Performance Indicators SPI 3102.1.1 Interpret patterns found in sequences, tables, and other forms of quantitative information using variables or function notation. Write an equation symbolically to express a contextual problem. Apply properties to evaluate expressions, simplify expressions, and justify solutions to problems. Translate between representations of functions that depict real-world situations. Recognize and express the effect of changing constants and/or coefficients in problem solving. Determine and interpret slope in multiple contexts including rate of change in real-world problems. SE: 35-40, 48, 56, 297, 309-310, 488, 539-540, A4-A5

SPI 3102.1.2 SPI 3102.1.3 SPI 3102.1.4 SPI 3102.1.5 SPI 3102.1.6

SE: SE: SE:

21-26, 28-33, 83, 137, 139, 143, 146, 153, 159 74-79, 82, 84, 88-93, 97, 98, 99, 100, 101, 105, 106, 107, 108, 122, 123, 124, 125, 130, 140, 146, 153 35-40, 43-50, 208, 211, 212, 218, 220-221, 633, 634, 771

This standard is addressed throughout the text. See, for example, pages SE: 262-269, 634, 716 SE: 235-250

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Holt McDougal Larson Algebra 1 ©2011 and the Tennessee Curriculum Companion correlated to the Tennessee Mathematics Standards: Algebra I

STANDARDS

DESCRIPTOR

PAGE CITATIONS

STANDARD 2 ­ NUMBER & OPERATIONS Course Level Expectations CLE 3102.2.1 CLE 3102.2.2 Understand computational results and operations involving real numbers in multiple representations. Understand properties of and relationships between subsets and elements of the real number system. SE: SE: 64-70, 73-85, 87-93, 96-108, 110-116, 122, 123, 124-125, 146, 181, 242, 341, 489-510, 512-519, 939 64, 65, 71-72, 105, 110-118, 929

Checks for Understanding (Formative/Summative Assessment) 3102.2.1 3102.2.2 Recognize and use like terms to simplify expressions. Apply the order of operations to simplify and evaluate algebraic expressions. Operate with and simplify radicals (index 2, 3, n) and radical expressions including rational numbers and variables in the radicand. Operate efficiently with both rational and irrational numbers. Perform operations with numbers in scientific notation (multiply, divide, powers). Use appropriate technologies to apply scientific notation to real-world problems. Identify the subsets in the real number system and understand their relationships. Use multiple strategies to approximate the value of an irrational number including irrational square roots and including location on the real number line. SE: SE: SE: 96-101, 123, 125 8-13, 20, 53, 77, 79, 80-81, 82, 84, 90, 91, 101, 107, 108, 122, 125, 742, 782 652-658, 718-724, 734, 755, 757, 782, 791

3102.2.3

Tennessee Curriculum Companion: A14-A16 SE: SE: SE: SE: SE: 64-70, 73-85, 87-93, 96-101, 103-108, 110-116, 122, 123, 124, 125, 146, 181, 242, 341, 718-726, 914-915, 939 512-519 519 64, 65, 112 111-116, 124

3102.2.4 3102.2.5 3102.2.6 3102.2.7

3102.2.8

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Holt McDougal Larson Algebra 1 ©2011 and the Tennessee Curriculum Companion correlated to the Tennessee Mathematics Standards: Algebra I

STANDARDS

State Performance Indicators

DESCRIPTOR

718-726

PAGE CITATIONS

SPI 3102.2.1

Operate (add, subtract, multiply, divide, simplify, powers) with radicals and radical expressions including radicands involving rational numbers and algebraic expressions. Multiply, divide, and square numbers expressed in scientific notation. Describe and/or order a given set of real numbers including both rational and irrational numbers.

SE:

Tennessee Curriculum Companion: A14-A16 SE: SE: 512-519 64-70, 110-116

SPI 3102.2.2 SPI 3102.2.3

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Holt McDougal Larson Algebra 1 ©2011 and the Tennessee Curriculum Companion correlated to the Tennessee Mathematics Standards: Algebra I

STANDARDS

STANDARD 3 ­ ALGEBRA Course Level Expectations CLE 3102.3.1 CLE 3102.3.2

DESCRIPTOR

PAGE CITATIONS

Use algebraic thinking to analyze and generalize patterns. Understand and apply properties in order to perform operations with, evaluate, simplify, and factor expressions and polynomials. Understand and apply operations with rational expressions and equations. Solve problems involving linear equations and linear inequalities. Manipulate formulas and solve literal equations. Understand and use relations and functions in various representations to solve contextual problems. Construct and solve systems of linear equations and inequalities in two variables by various methods. Solve and understand solutions of quadratic equations with real roots. Understand and use exponential functions to solve contextual problems.

SE: SE:

35-41, 43-48, 56, 297, 309-310, 488, 539-540, A3-A5 554-559, 561-580, 582-589, 592-613, 616-617, 618, 619-620, 621, 708, 783-791, 809, 819, 832, 835, 946 794-800, 802-826, 833-834, 835, 949 21-26, 132-146, 148-160, 162-173, 192-193, 194, 197, 212, 221, 250, 268, 289, 299, 341, 356-361, 362, 363-368, 369-374, 377378, 380-389, 415, 416, 417, 419, 426-457, 459-472, 475-479, 484, 538, 574, 589, 940, 943 30-33, 184-189, 196, 940 35-40, 47, 43-50, 51, 57 426-473, 475-478, 479, 484, 508, 568, 944 643-649, 652-658, 662, 663-668, 671-676, 680, 682, 683, 697, 698-699, 701, 947 520-527, 530-538, 541, 546, 547

CLE 3102.3.3

SE: SE:

CLE 3102.3.4

CLE 3102.3.5 CLE 3102.3.6 CLE 3102.3.7 CLE 3102.3.8 CLE 3102.3.9

SE: SE: SE: SE: SE:

Checks for Understanding (Formative/Summative Assessment) 3102.3.1 Recognize and extend arithmetic and geometric sequences. Explore patterns including Pascal's Triangle and the Fibonacci sequence. SE: SE: 3102.3.2 309-310, 539-540 A4

Tennessee Curriculum Companion: A12-A13

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Holt McDougal Larson Algebra 1 ©2011 and the Tennessee Curriculum Companion correlated to the Tennessee Mathematics Standards: Algebra I

STANDARDS

3102.3.3

DESCRIPTOR

Justify correct results of algebraic procedures using extension of properties of real numbers to algebraic expressions. Simplify expressions using exponent rules including negative exponents and zero exponents. Add, subtract, and multiply polynomials including squaring a binomial. Find the quotient of a polynomial and a monomial. Use various models (including area models) to represent products of polynomials. Find the GCF of the terms in a polynomial. Find two binomial factors of a quadratic expression. Add, subtract, multiply, and divide rational expressions and simplify results. Solve multi-step linear equations with one variable. Recognize and articulate when an equation has no solution, a single solution, or all real numbers as solutions. Solve multi-step linear inequalities with one variable and graph the solution on a number line. Solve absolute value equations and inequalities (including compound inequalities) with one variable and graph their solutions on a number line. Determine domain and range of a relation and articulate restrictions imposed either by the operations or by the real life situation that the function represents. Determine if a relation is a function from its graph or from a set of ordered pairs. SE: SE: 96-101, 103-108

PAGE CITATIONS

3102.3.4

489-494, 495-501, 504-508, 518, 543, 544, 547, 559, 719-721, 722, 724, 734, 755, 757, 795-796, 798, 800, 833, 835, 945, 948, 949 554-574, 580, 589, 616, 617, 621, 809, 946 784-791, 800, 832, 835, 949 561, 569, 572-573 576, 578, 579 582-589, 592-605, 618, 621, 819, 946 794-800, 802-809, 810-819, 833, 834, 835, 949 141-146, 148-153, 154-155, 157-159, 160, 173, 193, 194, 197 154-159, 173, 194 369-374, 380-388, 416, 419, 943 390-403, 412, 417, 419, 465, 943

3102.3.5 3102.3.6 3102.3.7 3102.3.8 3102.3.9 3102.3.10 3102.3.11 3102.3.12 3102.3.13

SE: SE: SE: SE: SE: SE: SE: SE: SE: SE:

3102.3.14

SE:

35-40, 43-51, 207, 210, 521, 524, 532, 535, 631, 633, 710-714

3102.3.15

3102.3.16

SE:

49-50

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Holt McDougal Larson Algebra 1 ©2011 and the Tennessee Curriculum Companion correlated to the Tennessee Mathematics Standards: Algebra I

STANDARDS

3102.3.17

DESCRIPTOR

Recognize "families" of functions. Analyze the characteristics of graphs of basic linear relations and linear functions including constant function, direct variation, identity function, vertical lines, absolute value of linear functions. Use technology where appropriate. Explore the characteristics of graphs of various nonlinear relations and functions including inverse variation, quadratic, and square root function. Use technology where appropriate. Understand that a linear equation has a constant rate of change called slope and represent slope in various forms. Determine the equation of a line using given information including a point and slope, two points, a point and a line parallel or perpendicular, graph, intercepts. Express the equation of a line in standard form, slopeintercept, and point-slope form. Determine the graph of a linear equation including those that depict contextual situations. Interpret the changes in the slope-intercept form and graph of a linear equation by looking at different values of the parameters, m and b. Find function values using f(x) notation or graphs. Graph linear inequalities on the coordinate plane and identify regions of the graph containing ordered pairs in the solution. Determine the number of solutions for a system of linear equations (0, 1, or infinitely many solutions). Solve systems of linear equations graphically, algebraically, and with technology. SE: SE:

PAGE CITATIONS

263-268, 269, 290-291, 396-397, 628-630, 775-777 215-222, 225-232, 235-259, 262-268, 283-299, 302-308, 311-316, 318-323, 396-397

3102.3.18

SE:

3102.3.19

520-527, 531-538, 628-642, 669-670, 684, 688, 710-718, 773-774, 766-767, 769, 773-777 234-250 283-289, 302-308, 311-316, 318-323, 330, 346-347, 349, 501, 527, 942 292-299, 302-308, 311-317, 345-347, 349 215-222, 225-232 262-268, 290-291

3102.3.20

SE: SE:

3102.3.21

3102.3.22 3102.3.23

SE: SE: SE:

3102.3.24 3102.3.25 3102.3.26 3102.3.27 3102.3.28

SE: SE: SE: SE:

218, 246, 262-268, 269, 274 405-412, 413, 418, 419, 943 459-465, 472, 478, 479, 944 426-465, 475, 476-477, 478, 479, 508, 568, 944

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Holt McDougal Larson Algebra 1 ©2011 and the Tennessee Curriculum Companion correlated to the Tennessee Mathematics Standards: Algebra I

STANDARDS

3102.3.29 3102.3.30 3102.3.31

DESCRIPTOR

Solve contextual problems involving systems of linear equations or inequalities and interpret solutions in context. Solve quadratic equations using multiple methods: factoring, graphing, quadratic formula, or square root principle. Determine the number of real solutions for a quadratic equation including using the discriminant and its graph. Recognize the connection among factors, solutions (roots), zeros of related functions, and x-intercepts in equations that arise from quadratic functions. Recognize data that can be modeled by an exponential function. Graph exponential functions in the form y = a(bx) where b 0. Apply growth/decay and simple/compound interest formulas to solve contextual problems. SE: SE: SE: SE:

PAGE CITATIONS

426- 473, 477, 478, 479 575-589, 593-613, 643-649, 652-658, 662, 663-668, 671-676, 680, 682, 683, 697, 698-699, 701, 946-947 643-649, 652-657, 663-667, 671-675, 677-683, 947 337, 575-579, 639, 641-647

3102.3.32

3102.3.33 3102.3.34 3102.3.35

SE: SE: SE:

520-527, 530, 531-538, 684-693 522-527, 531-538 522-527, 531-538

State Performance Indicators SPI 3102.3.1 SPI 3102.3.2 SPI 3102.3.3 Express a generalization of a pattern in various representations including algebraic and function notation. Operate with polynomials and simplify results. Factor polynomials. Operate with, evaluate, and simplify rational expressions including determining restrictions on the domain of the variables. SE: SE: SE: SE: 35-40, 43-48, 56, 297, 300-301, 309-310, 488, 539-540, 684-691, A3-A5 554-574, 582-589, 592-613, 616, 617, 621, 783-791, 800, 809, 832, 835, 946, 949 575-580, 582-589, 592-613, 616-617, 618, 619-620, 621, 708, 783791, 809, 819, 832, 835, 946 794-800, 802-826, 833, 834, 835, 949

SPI 3102.3.4

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Holt McDougal Larson Algebra 1 ©2011 and the Tennessee Curriculum Companion correlated to the Tennessee Mathematics Standards: Algebra I

STANDARDS

SPI 3102.3.5 SPI 3102.3.6 SPI 3102.3.7

DESCRIPTOR

Write and/or solve linear equations, inequalities, and compound inequalities including those containing absolute value. Interpret various relations in multiple representations. Determine domain and range of a relation, determine whether a relation is a function and/or evaluate a function at a specified rational value. Determine the equation of a line and/or graph a linear equation. Solve systems of linear equation/inequalities in two variables. Find the solution of a quadratic equation and/or zeros of a quadratic function. Analyze nonlinear graphs including quadratic and exponential functions that model a contextual situation. SE:

PAGE CITATIONS

132-146, 148-160, 162-167, 192-193, 194, 197, 212, 221, 250, 268, 289, 299, 341, 356-378, 380-395, 398-403, 412, 415, 416, 417, 419, 433, 465, 484, 538, 574, 589, 940, 943 35-40, 43-50, 51, 57 35-40, 43-51

SE: SE:

SPI 3102.3.8 SPI 3102.3.9 SPI 3102.3.10 SPI 3102.3.11

SE: SE: SE: SE:

215-233, 244-252, 262-268, 283-299, 302-308, 311-316, 318-323, 330, 346-347, 349, 501, 527, 942 426-473, 475-479, 484, 508, 568, 944 575-580, 583-589, 595-597, 599, 602-605, 643-647, 650-658, 663668, 671-676, 947 639, 640, 646, 687

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Holt McDougal Larson Algebra 1 ©2011 and the Tennessee Curriculum Companion correlated to the Tennessee Mathematics Standards: Algebra I

STANDARDS

DESCRIPTOR

PAGE CITATIONS

STANDARD 4 ­ GEOMETRY & MEASUREMENT Course Level Expectations SE: CLE 3102.4.1 Use algebraic reasoning in applications involving geometric formulas and contextual problems. 4, 6-7, 99, 174-175, 185, 188, 189, 240, 282, 373, 385, 494, 580, 581, 585, 587, 588, 589, 591, 611, 613, 682, 689, 694, 736, 737742, 743, 744-750, 869, 924-928

Tennessee Curriculum Companion: A8-A9 CLE 3102.4.2 Apply appropriate units of measure and convert measures in problem solving situations. SE: 17-18, 20, 30, 33, 174-175, 188

Checks for Understanding (Formative/Summative Assessment) 3102.4.1 Using algebraic expressions solve for measures in geometric figures as well as for perimeter, area, and volume. Use the Pythagorean Theorem to find the missing measure in a right triangle including those from contextual situations. Understand horizontal/vertical distance in a coordinate system as absolute value of the difference between coordinates; develop the distance formula for a coordinate plane using the Pythagorean Theorem. Develop the midpoint formula for segments on a number line or in the coordinate plane. Use dimensional analysis to convert rates and measurements both within a system and between systems and check the appropriateness of the solution. SE: 4, 6, 30, 99, 174-175, 185, 188, 189, 240, 282, 373, 385, 494, 564, 580, 581, 585, 587, 588, 589, 591, 611, 613, 682, 689, 694, 736, 737-742, 743, 744-750 736-742, 750, 752, 756, 757, 948 743, 744-750

3102.4.2

SE: SE:

3102.4.3

3102.4.4

SE: SE:

641-642, 744-750 17-18, 927-928

3102.4.5

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Holt McDougal Larson Algebra 1 ©2011 and the Tennessee Curriculum Companion correlated to the Tennessee Mathematics Standards: Algebra I

STANDARDS

State Performance Indicators SPI 3102.4.1 SPI 3102.4.2 SPI 3102.4.3 SPI 3102.4.4

DESCRIPTOR

Develop and apply strategies to estimate the area of any shape on a plane grid. Solve contextual problems using the Pythagorean Theorem. Solve problems involving the distance between points or midpoint of a segment. Convert rates and measurements.

PAGE CITATIONS

Tennessee Curriculum Companion: A8-A9 SE: SE: SE: 737-742, 756, 757 743-750, 752, 756 17-18, 927-928

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Holt McDougal Larson Algebra 1 ©2011 and the Tennessee Curriculum Companion correlated to the Tennessee Mathematics Standards: Algebra I

STANDARDS

DESCRIPTOR

PAGE CITATIONS

STANDARD 5 ­ DATA ANALYSIS, STATISTICS, & PROBABILITY Course Level Expectations This standard is addressed throughout the text. See, for example, pages: SE: 42, 324-330, 331-332, 333, 334, 335-341, 342, 348, 349, 880, 882, 883-885, 886, 887-889, 890-891, 892, 893, 894, 899, 900, 901, 904-905, 907, 918, 932-934 SE: SE: 871-894, 899, 900, 901, 904-905, 907 842-848, 851-867, 930-931

CLE 3102.5.1

Describe and interpret quantitative information.

CLE 3102.5.2 CLE 3102.5.3

Use statistical thinking to draw conclusions and make predictions. Understand basic counting procedures and concepts of probability.

Checks for Understanding (Formative/Summative Assessment) 3102.5.1 3102.5.2 Identify patterns or trends in data. Develop a meaning for and identify outliers in a data set and verify. When a set of data is changed, identify effects on measures of central tendency, range, and inter-quartile range. SE: SE: SE: 3102.5.3 42, 324-342, 348, 349, 933 889, 890, 892, 894, 907 875, 877, 878, 880, 890

Tennessee Curriculum Companion: A23-A26 SE: 887-893

3102.5.4

Explore quartiles, deciles, and percentiles of a distribution.

Tennessee Curriculum Companion: A27-A31 SE: 881-894, 932-935

3102.5.5

Construct and interpret various forms of data representations, (including line graphs, bar graphs, circle graphs, histograms, scatter-plots, box-and-whiskers, stem-and-leaf, and frequency tables). Draw qualitative graphs of functions and describe a general trend or shape.

3102.5.6

SE:

49, 223-224, 241, 242, 684

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Holt McDougal Larson Algebra 1 ©2011 and the Tennessee Curriculum Companion correlated to the Tennessee Mathematics Standards: Algebra I

STANDARDS

3102.5.7

DESCRIPTOR

Compare two data sets using graphs and descriptive statistics. Examine real-world graphical relationship (including scatterplots) to determine type of relationship (linear or nonlinear) and any association (positive, negative or none) between the variables of the data set. Determine an equation for a line that fits real-world linear data; interpret the meaning of the slope and y-intercept in context of the data. Using technology with a set of contextual linear data to examine the line of best fit; determine and interpret the correlation coefficient. Use an equation that fits data to make a prediction. Use techniques (Venn Diagrams, tree diagrams, or counting procedures) to identify the possible outcomes of an experiment or sample space and compute the probability of an event. Determine the complement of an event and the probability of that complement. Determine if two events are independent or dependent. Explore joint and conditional probability. Identify situations for which the Law of Large Numbers applies. SE: SE:

PAGE CITATIONS

329, 341, 883, 888, 891, 892, 893 324-334, 342, 684-693

3102.5.8

SE:

324-330, 335-341, 342

3102.5.9

Tennessee Curriculum Companion: A10-A11 SE: 331-342

3102.5.10 3102.5.11

SE: SE:

326-332, 334-342 843-848, 851-861, 863, 865, 929-931

3102.5.12

SE: 3102.5.13

865

Tennessee Curriculum Companion: A17-A18 SE: SE: SE: 861-867 861-867 842

3102.5.14 3102.5.15

3102.5.16

Tennessee Curriculum Companion: A19-A20

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Holt McDougal Larson Algebra 1 ©2011 and the Tennessee Curriculum Companion correlated to the Tennessee Mathematics Standards: Algebra I

STANDARDS

3102.5.17

DESCRIPTOR

SE: Perform simulations to estimate probabilities. 849-850

PAGE CITATIONS

Tennessee Curriculum Companion: A19-A20 SE: 844-850, 854-855, 859, 865-866

3102.5.18

Make informed decisions about practical situations using probability concepts.

Tennessee Curriculum Companion: A21-A22

State Performance Indicators SPI 3102.5.1 Interpret displays of data to answer questions about the data set(s) (e.g., identify pattern, trends, and/or outliers in a data set). 2 Identify the effect on mean, median, mode, and range when values in the data set are changed. Using a scatter-plot, determine if a linear relationship exists and describe the association between variables. Generate the equation of a line that fits linear data and use it to make a prediction. Determine theoretical and/or experimental probability of an event and/or its complement including using relative frequency. SE: 42, 324-342, 348, 349, 878, 881-885, 887-892, 894, 907, 932-935

SE: SPI 3102.5.2

875, 877, 878, 880, 890

Tennessee Curriculum Companion: A23-A26 SE: SE: SE: 324-342 324-342 943-948, 965

SPI 3102.5.3 SPI 3102.5.4

SPI 3102.5.5

Tennessee Curriculum Companion: A17-A18

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Holt McDougal Larson Algebra 1 ©2011 and the Tennessee Curriculum Companion correlated to the Tennessee Mathematics Standards: Algebra I

STANDARDS

DESCRIPTOR

PAGE CITATIONS

Related Ancillaries - To be used throughout the program

· · · · · · · · Algebra 1 eEdition Online ­ Offers the entire Student Edition with interactive features with the click of a mouse Classroom Manipulative Kit ­ Contains class sets of basic manipulative needed for hands-on activities Algebra 1 Tennessee EOC Test Prep Workbook Algebra 1 EasyPlanner DVD-ROM ­ Provides all teaching resources, plus the Teacher's Edition, in one place, conveniently organized by chapter and type of resource. Algebra 1 ExamView CD-ROM - Offers the freedom to develop customized tests, practice sheets, and answer keys with just a few clicks of the mouse. Activity Generator CD-ROM ­ Guides students from the concrete to the abstract with easily customized and leveled hands-on activities, aligned to state standards. Algebra 1 PowerPresentations CD-ROM ­ Provides editable PowerPoint presentations to help introduce and explore concepts through colorful diagrams and animated instructional visuals. Includes the Electronic Function Library and many other great teaching resources. Pre-AP Resource ­ Includes pacing, assignment guides, teaching tips, and additional lessons and materials that promote deeper mathematical understanding, extend topics, or present new topics.

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McDougal Littell Algebra 1 2007

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