Prentice Hall Mathematics, Course

Prentice Hall Mathematics, Course 3 2008 Grade 8 C O R R E L A T E D T O Idaho Content Standards, Grade 8 Mathematics

Prentice Hall Mathematics, Course 3 Program Organization Prentice Hall Mathematics supports student comprehension of the mathematics by providing well organized sequence of the content, structure of the daily lesson, systematic direct instruction, and teacher support provided for each lesson. Content Sequence - Prentice Hall is organized with the goal of addressing all of the mathematics standards through direct and effective instruction, building concept upon concept, skill upon skill in an order that is pedagogically sound. The Table of Contents shows the smooth flow of the book, with prerequisite skills and concepts presented before the more complex topics that depend on them. Starting the Chapter - Every chapter begins by reviewing the previous standards that have been learned and overviewing the standards that will be covered in the chapter. New Vocabulary is identified to prepare students for the chapter. Finally, Check Your Readiness questions assess student understanding of necessary prerequisite skills and identifies which lesson they can go to for any necessary remediation. Lesson Organization - The daily lesson is structured and presented in a consistent format that enables teachers to effectively present the content and monitor student understanding. The Instant Check System is a system of assessments that helps ensure standards mastery. It is comprised of assessments to use before, during, and after instruction so teachers can easily and effectively monitor student understanding. o Each lesson begins with Check Skills You ll Need to ensure students have the necessary prerequisite skills for success in the lesson. A Go for Help reference directs them to a previous lesson if remediation is necessary. o Check Skills questions after every single example provide a way to check student o understanding during instruction. Finally, Checkpoint Quizzes occur after instruction to continually monitor student progress. Daily Standards Practice is provided with a comprehensive exercise set following every lesson. Each exercise set is leveled to ensure a variety of practice. Test Prep and Mixed Review ensures students also have a daily opportunity to practice concepts and skills previously mastered. Concluding the Chapter - The following features conclude each chapter, providing opportunities for students to review all standards and demonstrate mastery. This part of the systematic instruction provides regular opportunities for review and practice and ensures focus on and mastery of the standards. Chapter Review The Chapter Review serves as a chapter study guide for students by reviewing the key concepts covered in each lesson and providing an opportunity to practice. In addition, key vocabulary is reviewed. Chapter Test Students demonstrate their understanding of the entire chapter by completing this practice chapter test. Test Prep Cumulative Practice This provides a regular opportunity for students to practice and demonstrate mastery of all the standards that have been covered. If remediation is necessary, students are directed to a previous lesson where each concept was taught. 1

Assessment Prentice Hall Mathematics provides teachers with the assessment tools needed to inform instruction and document student progress. The Progress Monitoring Assessments contains all the program assessments needed to evaluate student understanding, monitor student progress, and inform future instruction. The following assessments are included: Formative Assessments o Screening Test check student readiness at the beginning of the school year o Benchmark Tests monitor student progress o Test-Taking Strategy Practice Masters provide opportunities to improve problemsolving skills Summative Assessments All the summative assessments are provided in two forms onlevel and basic versions. Both forms fully assess student progress on the course content, but the basic versions have been modified for special needs students. o Quarter Tests on-level and basic versions o Mid-Course Tests on-level and basic versions o Final Tests on-level and basic versions The Test Preparation Workbook contains review lessons and multiple-choice practice tests. Technology, such as the ExamView CD-ROM, allows teachers to create customized assessment, with all test items correlated to state standards. Universal Access Prentice Hall Mathematics provides better solutions for meeting the needs of every student in the classroom. Universal Access can be fostered by modifying instruction to address individual needs, and provided adapted resources when appropriate. Prentice Hall uses a systematic method for labeling and identifying resources and instructional support. This consistency helps teachers easily identify and choose the appropriate support for specific populations of students. The Teacher s Edition provides universal access strategies in detailed daily lesson plans, and daily teaching notes to help differentiate the lesson for all learners, including special needs, below level, advanced and English Language Learners. Chapter-level support pages provide teachers with an easy-to-read overview of the chapter resources available and suggest ways in the instructional lesson to use the resources. Key ancillaries to support universal access include the All-in-One Teaching Resources and the All-in-One Student Workbooks. The Teaching Resources include leveled practice for every lesson and daily activity labs. The All-in-One Student Workbook, available as both on-level and adapted for special needs, includes daily notetaking, daily practice, daily guided problem solving, and vocabulary support. Instructional Planning and Support Prentice Hall Mathematics is designed to provide teachers the tools needed to effectively and easily implement the program in the classroom. A Road Map for Planning the Year - A Leveled Pacing Chart is provided in the Teacher s Edition that lays out a plan for teaching all the mathematics content standards. It suggests time to spend on each Chapter, and offers support for adjusting the instruction to meeting the pacing needs of all students. Planning a Chapter - The Teacher s Edition begins each chapter with a series of planning pages. These pages provide an overview of the chapter and make it easy to determine how to individualize lessons for specific students. 2

o Prentice Hall Mathematics, Course 3 2008 Planning Daily Instruction - Teachers can use a variety of program materials to organize their teaching. The primary planning tools are the Teacher s Edition and the Teacher Center Planning CD- ROM. The Teacher s Edition includes step-by-step, daily support for directing instruction. Support is organized systematically around a 4-step teaching plan of Plan, Teach, Practice, and Assess/Reteach. Instructional Tools to Plan, Teach, and Assess: Core Components o Student Edition Thorough coverage of the standards, with built-in assessments and ongoing student support o Teacher s Edition Provides comprehensive support for planning, teaching, and providing Universal Access Teacher Support o All-in-One Teaching Resources - All teaching resources are in one convenient place. Includes leveled practice, chapter projects, alternative assessments, cumulative reviews, guided problem solving masters, and vocabulary support. o Progress Monitoring Assessments Provides support for formative and summative assessment, with comprehensive resources for monitoring progress on the standards. o Test Preparation Workbook Provides instruction and practice on specific test taking strategies. o TeacherEXPRESS CD-ROM Powerful lesson planning software, Teacher s Edition, and Teaching Resources. o PresentationEXPRESS CD-ROM Complete support for digital presentations of lessons including videos, activities, stepped-out examples, quick check assessments, online active math, and Mindpoint Quiz Show to review chapters. o ExamView Test Generator CD-ROM Allows teachers to quickly and easily generate tests correlated to the standards. Student Support o All-in-One Student Workbook Structured daily notetaking pages for every lesson Practice for every lesson Guided problem solving pages for every lesson with scaffolded questions Vocabulary and study skills focusing on key mathematical vocabulary o All-in-One Student Workbook, Adapted Version Adapted for special needs students. Includes all the resources in the regular All-in-One Student Workbooks, in an adapted form. o Student Text Online Complete interactive textbook with videos built-in at point-ofuse, digital activities, stepped-out examples, vocabulary support and more. Also includes the All-in-One Student Workbooks. o StudentEXPRESS CD-Rom Interactive Textbook, Homework Video Tutors, Active Math Interactivities and Student Worksheets o Companion Websites - Grants instant access to a wealth of resources to support learning including vocabulary quizzes, lesson quizzes, data updates, tutorials, chapter tests, and homework video tutors. Transparency Package o Classroom Aid Transparencies - Full-color multi-use transparencies such as graphs, fraction strips, and manipulatives o Additional Examples on Transparencies o Daily Skills Check and Lesson Quiz Transparencies o Standards Review Transparencies Student Edition Answers on Transparencies 3

IDAHO CONTENT STANDARDS, GRADE 8 MATHEMATICS Standard 1: Number and Operation Goal 1.1: Understand and use numbers. Objective 1: 8.M.1.1.1 Compare magnitudes and relative magnitudes of rational numbers, including integers, fractions, decimals, percents, and absolute values. (337.01.a) Objective 2: 8.M.1.1.2 Use rational numbers, including percents and ratios, and π (pi) to solve problems. (337.01.b) Objective 3: 8.M.1.1.3 Locate the position of rational numbers and positive real numbers on a number line. (337.01.e) Objective 4: 8.M.1.1.4 Convert between standard form, scientific notation, and exponential form. (337.01.c) Objective 5: 8.M.1.1.5 Apply number theory concepts (primes, composites, prime factorization, LCM, GCF). (337.01.d) Objective 6: 8.M.1.1.6 Recognize pertinent information for problem solving. (338.01.b) Objective 7: 8.M.1.1.7 Apply integers in oneand two-step common real-world situations. Objective 8: 8.M.1.1.8 Use appropriate vocabulary. Goal 1.2: Perform computations accurately. Objective 1: 8.M.1.2.1 Recall the common equivalent fractions, decimals, and percents of halves, thirds, fourths, fifths, and tenths. (337.02.b) Objective 2: 8.M.1.2.2 Add, subtract, multiply, and divide rational numbers. (337.02.a) Objective 3: 8.M.1.2.3 Evaluate numerical expressions with whole number exponents. (337.02.d) Objective 4: 8.M.1.2.4 Evaluate numerical expressions with rational numbers using the order of operations. (337.02.c) Objective 5: 8.M.1.2.5 Select and use an appropriate method of computation from mental math, paper and pencil, calculator, or a combination of the three. (337.02.e) Objective 6: 8.M.1.2.6 use a variety of strategies including common mathematical formulas to compute problems drawn from real life situations. (338.01.a) PAGE(S) WHERE TAUGHT (If submission is not a book, cite appropriate location(s)) SE/TE: 2, 11-13, 45, 50, 62-65, 99, 212, 629 SE/TE: Representative pages: 68, 75, 78-79, 128, 162-163, 238, 240-241, 274, 291, 339 SE/TE: 10, 11, 63, 128, 214; Related Content: 8, 12, 15, 46 SE/TE: 92-95, 99; Related Content: 86-89, 558, 582, 584, 591 SE/TE: 52-56, 62, 64, 77, 98-99; Related Content: 57, 59, 72, 158 SE/TE: xxxii, 24-25, 68, 75, 116, 143, 183, 189, 244, 309, 371 SE/TE: 18-19, 22-23, 34-36, 39, 40-41, 45, 50, 258 SE/TE: 10, 12, 16, 18, 21, 34, 52, 53, 54, 62, 64, 98 SE/TE: 58-60, 61, 98, 210-213, 250, 252 SE/TE: 66-69, 71, 72-76, 99, 158, 208, 468 SE/TE: 86-89, 99, 558; Related Content: 5-7, 21-23, 44, 45, 90, 92-95, 104, 258, 300 SE/TE: 4-8, 44, 86-89, 99, 258, 266-269, 295 SE/TE: 7, 27, 30, 35, 40, 41, 75, 177, 227, 275, 331 SE/TE: xxxiii-xli, 24-25, 35, 39, 40, 55, 74, 78, 79, 80, 81-84, 132-133, 176, 180, 216, 225, 226, 241, 251, 263, 268, 273, 278-280, 330, 345, 360, 382, 383, 390, 415, 434, 454, 493, 536, 563, 568, 587, 589 4

IDAHO CONTENT STANDARDS, GRADE 8 MATHEMATICS Objective 7: 8.M.1.2.7 Use appropriate vocabulary and notations. (337.02.f) Goal 1.3: Estimate and judge reasonableness of results. Objective 1: 8.M.1.3.1 Estimate to predict computation results. (337.03.a) Objective 2: 8.M.1.3.2 Identify when estimation is appropriate and apply to problem solving situations. (337.03.b) Objective 3: 8.M.1.3.3 Identify whether a given estimate is an overestimate or underestimate. (337.03.c) Objective 4: 8.M.1.3.4 Use a four-function calculator to solve complex grade-level problems. Objective 5: 8.M.1.3.5 Formulate conjectures and justify (short of formal proof) why they must be or seem to be true. (338.02.c) Objective 6: 8.M.1.3.6 Use appropriate vocabulary and notations. (337.03.d) Standard 2: Concepts and Principles of Measurement PAGE(S) WHERE TAUGHT (If submission is not a book, cite appropriate location(s)) SE/TE: 4, 5, 7, 57, 58, 59, 73, 74, 77, 210, 212, 266, 268 SE/TE: Related Content: 24, 34, 35, 68, 73, 80, 116, 161, 167, 175, 179, 198, 220, 224, 230, 279, 289, 370, 381, 385, 394, 454 SE/TE: 216, 251, 390; Related Content: 74, 80, 121, 169, 216, 262, 263, 335, 372, 378, 381, 382, 385, 390 SE/TE: Related Content: 24, 34, 35, 68, 73, 80, 116, 161, 167, 175, 179, 198, 220, 224, 230, 279, 289, 370, 381, 385, 394, 454 SE/TE: 63, 64, 87, 93, 107, 113, 119, 125, 167, 168, 175, 198, 218, 225, 230, 337, 370, 373, 376, 381, 389, 450, 492 SE/TE: 15, 302, 323, 387; Related Content: 223, 245, 443-445, 446-447, 448, 474, 475-479, 485, 505 SE/TE: 5, 15, 116, 119, 125, 215 Goal 2.1: Understand and use U.S. customary and metric measurements. Objective 1: 8.M.2.1.1 Select and use appropriate units and tools to make formal measurements in both systems. (339.01.a) Objective 2: 8.M.2.1.2 Apply estimation of measurement to real-world and content problems using standard measuring devices. (339.01.b) Objective 3: 8.M.2.1.3 Compare the differences and relationships among measures of perimeter, area, and volume (capacity) within both systems. (339.01.c) Objective 4: 8.M.2.1.4 Given the formulas, find the circumference, perimeter, or area of triangles, circles, and quadrilaterals, and the volume and surface area of rectangular prisms. (341.01.e) Objective 5: 8.M.2.1.5 Convert units of measurement within each system in problem solving situations. (339.01.e) Objective 6: 8.M.2.1.6 Solve problems involving area of circles and the perimeter and area of rectangles and triangles. (339.01.d) SE/TE: 165, 166-170; Related Content: 22, 122, 199-200, 203 SE/TE: 168-169; Related Content: 196-200, 203, 314, 402, 461 SE/TE: 185, 328-332, 347, 352, 380-384, 387-391, 405 SE/TE: 81-84, 85, 185, 328-332, 347, 352, 368-369, 380-384, 405 SE/TE: 166-170, 202; Related Content: 177, 178, SE/TE: 81, 83, 85, 328-331, 336-339, 347, 352 5

IDAHO CONTENT STANDARDS, GRADE 8 MATHEMATICS Objective 7: 8.M.2.1.7 Use appropriate vocabulary and notations. (339.01.f) Goal 2.2: Apply the concepts of rates, ratios, and proportions. Objective 1: 8.M.2.2.1 Use rates, proportions, ratios, and map scales in problem-solving situations. (339.03.a) Objective 2: 8.M.2.2.2 Determine unit rates in real-world situations. Goal 2.3: Apply dimensional analysis. Objective 1: 8.M.2.3.1 Illustrate the interrelationship of measurement units through dimensional analysis conversions. (339.04.a) PAGE(S) WHERE TAUGHT (If submission is not a book, cite appropriate location(s)) SE/TE: 81, 83, 166, 167, 169, 328, 331, 336, 338, 368, 369, 371, 380, 382 SE/TE: 162-163, 164, 177-178, 179-180, 183-184, 193-194, 195, 198-200, 202 SE/TE: 161-163, 164, 179, 202; Related Content: 166-168, 174-176 SE/TE: 181-184, 185, 186, 187-190, 191, 194, 195, 196, 197-200, 201, 203 Standard 3: Concepts and Language of Algebra and Functions Goal 3.1: Use algebraic symbolism as a tool to represent mathematical relationships. Objective 1: 8.M.3.1.1 Use variables in expressions, equations, and inequalities. (340.01.a) Objective 2: 8.M.3.1.2 Translate simple word statements and story problems into algebraic expressions and equations. (340.01.b) Objective 3: 8.M.3.1.3 Use symbols <, >, =,,, and to express relationships. (340.01.c) Goal 3.2: Evaluate algebraic expressions. Objective 1: 8.M.3.2.1 Use and apply the following properties in evaluating algebraic expressions: commutative, associative, identity, zero, inverse, distributive, and substitution. (340.02.a) Objective 2: 8.M.3.2.2 Use the order of operations in evaluating simple algebraic expressions (340.02.b) Objective 3: 8.M.3.2.3 Simplify algebraic expressions. (340.02.c) Goal 3.3: Solve algebraic equations and inequalities. Objective 1: 8.M.3.3.1 Solve one- and two-step equations and inequalities. (340.03.a) Objective 2: 8.M.3.3.2 Match graphical representations with simple linear equations. (340.03.b) Goal 3.4: Understand the concept of functions. Objective 1: 8.M.3.4.1 Extend patterns and identify a rule (function) that generates the pattern using rational numbers. (343.01.a) SE/TE: 4-6, 44, 130-134, 153, 201, 276-278, 279, 295, 510, 560, 561, 564 SE/TE: xli, 4-7, 35, 40, 226, 240, 263, 278, 279, 280, 415, 454, 568, 587 SE/TE: 13, 35, 40, 65, 226, 240, 263, 278, 279, 287, 280, 415, 454, 568, 587 SE/TE: 4-8, 26-30, 258, 267, 272-273, 274, 277, 562, 563, 590, 648 SE/TE: 4-8, 18, 22, 29, 44, 86-89, 99 SE/TE: 4-8, 18, 22, 29, 44, 258, 266-269, 295 SE/TE: 33-36, 38-41, 208, 261-264, 282-285, 294, 295, 300 SE/TE: 134, 151, 538, 543; Related Content: 135, 535-536, 542,549, 550 SE/TE: 85, 91, 130-133, 149, 195, 287, 302, 323, 397, 431, 489, 512-515, 570 6

IDAHO CONTENT STANDARDS, GRADE 8 MATHEMATICS Objective 2: 8.M.3.4.2 Use relationships to explain how a change in one quantity may result in a change in another, and identify the relationship as a positive, negative, or neither. (343.01.b) Objective 3: 8.M.3.4.3 Use appropriate vocabulary and notations. (343.01.c) PAGE(S) WHERE TAUGHT (If submission is not a book, cite appropriate location(s)) SE/TE: 527, 528-531, 532, 553; Related Content: 536, 539, 540-543 SE/TE: 527, 528, 530, 542, 553, 553 Goal 3.5: Represent equations, inequalities and functions in a variety of formats. Objective 1: 8.M.3.5.1 Represent a set of data in a table, as a graph, and as a mathematical relationship. (343.02.a) Goal 3.6: Apply functions to a variety of problems. Objective 1: 8.M.3.6.1 Use patterns and linear functions to represent and solve problems. (343.03.a) Standard 4: Concepts and Principles of Geometry Goal 4.1: Apply concepts of size, shape, and spatial relationships. Objective 1: 8.M.4.1.1 Describe and classify relationships among types of one-, two-, and three-dimensional geometric figures, using their defining properties. (341.01.a) Objective 2: 8.M.4.1.2 Draw and measure various angles and shapes using appropriate tools. (341.01.b) Objective 3: 8.M.4.1.3 Apply the fundamental concepts, properties, and relationships among points, lines, rays, planes, and angles. (341.01.c) Objective 4: 8.M.4.1.4 Identify and model the effects of reflections, translations, rotations, and scaling on various shapes. (341.01.g) Objective 5: 8.M.4.1.5 Identify congruence, similarities, and line symmetry of shapes. (341.01.d) Objective 6: 8.M.4.1.6 Explain the concept of surface area and volume (capacity). (341.01.f) Objective 7: 8.M.4.1.7 Use appropriate vocabulary and symbols. (341.01.h) Goal 4.2: Apply the geometry of right triangles. No objectives at this grade level. Goal 4.3: Apply graphing in two dimensions. Objective 1: 8.M.4.3.1 Identify and plot points on a coordinate plan. (341.03.a) SE/TE: 130-134, 153, 533, 534-538, 540-543, 553 SE/TE: 85, 132-134, 323, 397, 515-516, 517, 537-538, 542-543, 544-545, 553, 570 SE/TE: 302, 303-306, 307-307-310, 311, 312-316, 318-321, 322, 323, 324-327, 328-332, 354-357, 358-361, 362, 363, 364-366, 404 SE/TE: 304-306, 308-310, 341-343, 344, 345358-361, 362 SE/TE: 302, 303-306, 307-310, 311, 341-343, 344, 346, 347 SE/TE: 136-139, 140, 141-144, 145, 146-149, 150, 153, 185, 186, 187-190, 191 SE/TE: 142, 143, 181-184, 185, 186, 187-190, 312-316, 191, 398-401 SE/TE: 368 372, 373, 374-378, 379, 380-384, 387, 388-391, 393-396 SE/TE: 136, 137, 141, 142, 143, 146, 148, 152, 181, 183, 187, 188, 189, 303, 304, 305, 307, 312, 314, 368, 371, 374, 377, 380, 382, 393, 395, 398, 400, 404 SE/TE: 124-127, 153, 410, 510; Related Content: 136-139, 141-144, 146-149, 535, 536, 537, 553 7

IDAHO CONTENT STANDARDS, GRADE 8 MATHEMATICS Standard 5: Data Analysis, Probability, and Statistics Goal 5.1: Understand data analysis. Objective 1: 8.M.5.1.1 Analyze and interpret tables, charts, and graphs, including frequency tables, scatter plots, broken line graphs, line plots, bar graphs, histograms, circle graphs, and stem-and-leaf plots. (342.01.a) Objective 2: 8.M.5.1.2 Explain and justify conclusions drawn from tables, charts, and graphs. (342.01.b) Objective 3: 8.M.5.1.3 Use appropriate vocabulary and notations. (342.01.c) PAGE(S) WHERE TAUGHT (If submission is not a book, cite appropriate location(s)) SE/TE: 223, 245, 323, 412-416, 417, 418-422, 423, 424-426, 427, 428-431, 432, 433-437, 438-441, 443-447, 450-453, 454-455, 463 SE/TE: 223, 245, 323, 415-416, 417, 428-431, 432, 436, 447, SE/TE: 412, 413, 414, 418, 419, 420, 424, 425, 433, 435, 438, 440, 444, 445, 446, 450, 451, 452, 462 Goal 5.2: Collect, organize, and display data. Objective 1: 8.M.5.2.1 Collect, organize, and SE/TE: 418-422, 423, 425-426, 433-437, 439- display data with appropriate notation in tables, 441, 442, 443, 451-453, 460, 480-483 charts, and graphs, including scatter plots, broken line graphs, line plots, bar graphs, histograms, and stem-and-leaf plots. (342.02.a) Goal 5.3: Apply simple statistical measurements. Objective 1: 8.M.5.3.1 Choose and calculate the appropriate measure of central tendency mean, median, and mode. (342.03.a) Objective 2: 8.M.5.3.2 Explain the significance of distribution of data, including range, frequency, gaps, and clusters. (342.03.b) Goal 5.4: Understand basic concepts of probability. Objective 1: 8.M.5.4.1 Model situations of probability using simulations. (342.04.a) Objective 2: 8.M.5.4.2 Recognize equally likely outcomes. (342.01.c) Objective 3: 8.M.5.4.3 Explain that probability ranges from 0% to 100% and identify a situation as having high or low probability. Objective 4: 8.M.5.4.4 Use the language of probability. (342.04.b) Goal 5.5: Make predictions or decisions based on data. Objective 1: 8.M.5.5.1 Make predictions based on experimental and theoretical probabilities. (342.05.a) Objective 2: 8.M.5.5.2 Conduct statistical experiments and interpret results using tables, charts, or graphs. (342.05.c) Objective 3: 8.M.5.5.3 Use appropriate vocabulary and notations. (342.05.b) SE/TE: 412-416, 417, 418, 419, 420, 421, 434, 435, 436, 437, 462 SE/TE: 413, 414, 415, 417, 418-422, 462 SE/TE: 248, 470-472, 474, 480-483, 484, 485, 488-489, 490, 494-495, 498-499, 505 SE/TE: 247; Related Content: 246, 248-260, 253, 470-472, 474, 475-476 SE/TE: 247-250, 470-473, 474, 475-478, 484, 486-489, 504, 505 SE/TE: 246, 247, 248, 252, 470, 471, 472, 479, 486, 487, 488, 491, 493, 496, 498, 500 SE/TE: 475-479, 505; Related Content: 246-250, 253, 474 SE/TE: 246-250, 418-423, 438-442, 444-447, 462, 463, 470-473, 480-483, 484, 486-489, 491-495, 496-499, 505 SE/TE: 246, 247, 248, 418, 419, 420, 438, 440, 444, 445, 446, 470, 471, 472, 480, 481, 482, 486, 487, 488, 491, 493, 496, 498, 500, 504 8

Standards link: http://www.sde.idaho.gov/contentstandards/docs/math Standards/ICSGrade8math.doc 9