prentice hall mathematics: pre-algebra © 2004 … mathematics grade-level expectations, (grade 8)...

Prentice Hall Mathematics: Pre-Algebra © 2004 Correlated to:

Missouri Mathematics Grade-Level Expectations (Grade 8)

SE = Student Edition TE = Teacher Edition TR = Teaching Resources TECH = Technology 1

MISSOURI MATHEMATICS GRADE-LEVEL EXPECTATIONS

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Number and Operations 1. Understand numbers, ways of representing numbers, relationships among numbers and

number systems

A. Read, write and compare numbers Grade 8

• compare and order rationals and percents, including finding their approximate locations on a number line

SE/TE: 2, 18-22, 27, 29, 34, 48-49, 58, 60, 121, 124, 126, 184-185, 204, 207, 217, 222, 226, 227, 232-236, 238, 240-241, 247, 279, 282, 283, 291, 313, 319, 332, 342, 343, 365, 389, 484, 575, 747-748, 757, 762, 775

TR: Math Background, Teaching Notes, and Additional Examples listed in margins of TE pages listed above; Practice/Reteaching/Enrichment Worksheets: 5-1; Practice Workbook: 5-1; Reading and Math Literacy: 5A; Guided Problem Solving: 5-1

TECH: Presentation Assistant Plus!: 5-1; www.PHSchool.com: Student Site: 5-1

B. Represent and use rational numbers

Grade 8

• use fractions, decimals and percents to solve problems

SE/TE: 126, 127-131, 132-135, 136, 141, 142, 143-146, 147, 148-151, 152-155, 158-161, 162-163, 168, 169-171, 172, 174-175, 181, 190, 195, 202-204, 208, 214, 234-236, 237, 240-241, 244-247, 249, 251-252, 254-257, 258, 259, 261-262, 264, 266-267, 269-272, 273, 275-277, 282, 283, 284-285, 289, 291, 297, 310-314, 315-319, 320-323, 324, 325-328, 329-332, 333, 334-337, 338, 340-341, 342, 343, 344-345, 351, 356, 357-361, 363-365, 366, 368-371, 372, 373-376, 379, 381, 382-386, 387, 391, 392, 393, 394-395, 404, 405, 409, 415-416, 418, 420-422, 428, 432-433, 434, 439, 469, 474, 479, 484, 490, 495, 512, 583, 626-627, 628, 655, 657-658, 665-668, 673, 676-677, 682, 733, 749-750

TR: Math Background, Teaching Notes, and Additional Examples listed in margins of TE pages listed above;


Missouri Mathematics Grade-Level Expectations, (Grade 8)




(Continued) • use fractions, decimals and percents to solve

problems

(Continued) TR: Practice/Reteaching/Enrichment Worksheets:

3-2, 3-5, 3-6, 5-1, 5-2, 5-3, 5-4, 5-7, 5-8, 6-5, 6-6, 6-7, 6-8, 6-9, 7-8; Practice Workbook: 3-2, 3-5, 3-6, 5-1, 5-2, 5-3, 5-4, 5-7, 5-8, 6-5, 6-6, 6-7, 6-8, 6-9, 7-8; Reading and Math Literacy: 5A, 5B, 5C, 6C; Guided Problem Solving: 3-2, 3-5, 3-6, 5-1, 5-2, 5-3, 5-4, 5-7, 5-8, 6-5, 6-6, 6-7, 6-8, 6-9, 7-8; Hands-On Activities: 7, 8, 9, 10, 11, 12, 13, 14

TECH: Technology Activities: 7, 8, 9, 10, 12; Presentation Assistant Plus!: 3-2, 3-5, 3-6, 5-1, 5-2, 5-3, 5-4, 5-7, 5-8, 6-5, 6-6, 6-7, 6-8, 6-9, 7-8; Classroom Aids: 1 (for Lesson 6-5), 21 (for Lesson 5-4); www.PHSchool.com: Student Site: Algebra Readiness Puzzles: 16, 17, 18, 19, 22, 23, 41, 42; Graphing Calculator Procedures: 1, 2, 7, 19, 27

C. Compose and decompose numbers

Grade 8

• recognize equivalent representations for the same number and generate them by decomposing and composing numbers, including scientific notation

SE/TE: 5-7, 12, 13, 15, 17, 18-21, 29, 34, 57, 60, 66-70, 71-75, 90, 95, 126, 182-185, 192-195, 196, 200, 201, 203-204, 205-208, 210-214, 215-220, 221, 223-225, 226, 227, 230, 236, 237-241, 247, 252, 257, 272, 274-277, 280-281, 282, 286, 288, 290-291, 303, 309, 310-314, 319, 321, 337, 339, 340, 343, 346, 365, 396, 479, 575, 578, 589, 607, 624, 628, 744, 747-749, 771-772

TR: Math Background, Teaching Notes, and Additional Examples listed in margins of TE pages listed above; Practice/Reteaching/Enrichment Worksheets: 1-4, 2-1, 2-2, 4-2, 4-4, 4-7, 4-8, 4-9, 5-2, 5-9, 6-5; Practice Workbook: 1-4, 2-1, 2-2, 4-2, 4-4, 4-7, 4-8, 4-9, 5-2, 5-9, 6-5; Reading and Math Literacy: 2A, 4B, 4C; Guided Problem Solving: 1-4, 2-1, 2-2, 4-2, 4-4, 4-7, 4-8, 4-9, 5-2, 5-9, 6-5; Hands-On Activities: 3, 6, 9, 14

TECH: Technology Activities: 7, 8, 12; Presentation Assistant Plus!: 1-4, 2-1, 2-2, 4-2, 4-4, 4-7, 4-8, 4-9, 5-2, 5-9, 6-5; Classroom Aids: 1 (for Lesson 6-5), 17 (for Lesson 4-2); www.PHSchool.com: Student Site: Algebra Readiness Puzzles: 7, 10, 11, 13, 22; Graphing Calculator Procedures: 1, 18






D. Classify and describe numeric relationships Grade 8

• use factors and multiples to describe relationships between and among numbers and justify characteristics of numbers

SE/TE: 176, 178-181, 182-185, 186-190, 191, 192-195, 196, 223-224, 226, 227, 232-236, 249, 278, 279, 282, 358, 583, 659-663, 664, 747-748

TR: Math Background, Teaching Notes, and Additional Examples listed in margins of TE pages listed above; Practice/Reteaching/Enrichment Worksheets: 4-1, 4-3; Practice Workbook: 4-1, 4-3; Reading and Math Literacy: 4A; Guided Problem Solving: 4-1, 4-3; Hands-On Activities: 4, 5

TECH: Presentation Assistant Plus!: 4-1, 4-3 (including Classroom Aid 16); www.PHSchool.com: Student Site: Algebra Readiness Puzzles: 8, 9, 12

2. Understand meanings of operations and how they relate to one another

A. Represent operations Grade 8 N/A

B. Describe effects of operations Grade 8

• describe the effects of multiplication and division on integers

SE/TE: 44-49, 59, 60, 64, 68-70, 73-75, 93-95, 110-114, 115, 119, 121, 131, 226, 227, 262, 744

TR: Math Background, Teaching Notes, and Additional Examples listed in margins of TE pages listed above; Practice/Reteaching/Enrichment Worksheets: 1-9; Practice Workbook: 1-9; Reading and Math Literacy: 1C; Guided Problem Solving: 1-9

TECH: Presentation Assistant Plus!: 1-9; www.PHSchool.com: Student Site: Algebra Readiness Puzzles: 5, 6






C. Apply properties of operations Grade 8

• apply properties of operations to rational numbers, including order of operations and inverse operations

SE/TE: 7, 8-12, 13, 17, 23, 24-29, 30-34, 42, 44-49, 57-58, 60, 64, 66-70, 71-75, 76-79, 81, 86-90, 91, 92-95, 99, 106-109, 110-114, 115, 117-119, 120, 121, 126, 131, 172, 182-185, 204, 206, 209, 218-219, 221, 227, 230, 243-247, 248-252, 262, 264-265, 280, 282, 328, 353-354, 368, 448, 463, 501, 526, 537, 602, 629, 686, 714, 732, 734, 744-745, 748, 759-760, 764-770, 773-774

TR: Math Background, Teaching Notes, and Additional Examples listed in margins of TE pages listed above; Practice/Reteaching/Enrichment Worksheets: 1-2, 2-1, 2-2, 2-3, 2-5, 2-6, 2-9, 2-10, 4-2; Practice Workbook: 1-2, 2-1, 2-2, 2-3, 2-5, 2-6, 2-9, 2-10, 4-2; Reading and Math Literacy: 2A, 2B, 2C; Guided Problem Solving: 1-2, 2-1, 2-2, 2-3, 2-5, 2-6, 2-9, 2-10, 4-2; Hands-On Activities: 2, 3, 26

TECH: Technology Activities: 4; Presentation Assistant Plus!: 1-2, 2-1, 2-2, 2-3, 2-5, 2-6, 2-9, 2-10, 4-2; Classroom Aids: 13 (for Lesson 2-5), 17 (for Lesson 4-2); www.PHSchool.com: Student Site: Algebra Readiness Puzzles: 2, 7, 10, 11, 28, 37, 38, 39, 40, 55, 56; Graphing Calculator Procedures: 1, 7

D. Apply operations on real and complex numbers

Grade 8

• apply the relationship between squares and square roots and cubes and cube roots to solve a problem

SE/TE: 580-583, 584-589, 590-591, 592-596, 597, 602-606, 607, 621, 624, 677, 735, 754

TR: Math Background, Teaching Notes, and Additional Examples listed in margins of TE pages listed above; Practice/Reteaching/Enrichment Worksheets: 11-1, 11-2, 11-3, 11-5; Practice Workbook: 11-1, 11-2, 11-3, 11-5; Reading and Math Literacy: 11A; Guided Problem Solving: 11-1, 11-2, 11-3, 11-5; Hands-On Activities: 16

TECH: Technology Activities: 28, 29; Presentation Assistant Plus!: 11-1, 11-2, 11-3, 11-5; Classroom Aids: 30, 31; www.PHSchool.com: Student Site: Algebra Readiness Puzzles: 50, 51, 90, 91






(Continued) • apply the relationship between squares and

square roots and cubes and cube roots to solve a problem

(Continued) TECH: Graphing Calculator Procedures: 1, 2, 19

3. Compute fluently and make reasonable estimates

A. Describe or represent mental strategies Grade 8 N/A

B. Develop and demonstrate fluency Grade 8 N/A

C. Compute problems Grade 8

• apply all operations on rational numbers

SE/TE: 7, 8-12, 13, 17, 23, 24-29, 30-34, 42, 44-49, 57-58, 60, 64, 66-70, 71-75, 79, 81, 87, 99, 114, 115, 117-118, 120, 121, 126, 131, 172, 182-185, 204, 206, 209, 218-219, 221, 227, 230, 243-247, 248-252, 262, 264-265, 280, 282, 328, 353-354, 368, 448, 463, 501, 526, 537, 602, 629, 686, 714, 732, 734, 744-745, 748, 759-760, 764-770, 773-774

TR: Math Background, Teaching Notes, and Additional Examples listed in margins of TE pages listed above; Practice/Reteaching/Enrichment Worksheets: 1-5, 1-6, 1-9, 4-2, 5-3, 5-4; Practice Workbook: 1-5, 1-6, 1-9, 4-2, 5-3, 5-4; Reading and Math Literacy: 1C, 5A; Guided Problem Solving: 1-5, 1-6, 1-9, 4-2, 5-3, 5-4; Hands-On Activities: 7, 8, 10, 11, 12, 13

TECH: Technology Activities: 3, 9, 10; Presentation Assistant Plus!: 1-5, 1-6, 1-9, 4-2, 5-3, 5-4; Classroom Aids: 6, 13 (for Lessons 1-5 and 1-6), 17 (for Lesson 4-2); www.PHSchool.com: Student Site: Algebra Readiness Puzzles: 3, 4, 5, 6, 10, 11, 16, 17, 18, 19; Graphing Calculator Procedures: 1, 7






D. Estimate and justify solutions Grade 8

• estimate and justify the results of all operations on rational numbers

SE/TE: 33, 126, 127-131, 132-135, 136, 145-146, 161, 167, 169-170, 172, 214, 241, 242, 246, 262, 296, 338, 351, 580-582, 596, 609-612, 613, 621, 624, 677, 746, 754, 758, 763

TR: Math Background, Teaching Notes, and Additional Examples listed in margins of TE pages listed above; Practice/Reteaching/Enrichment Worksheets: 3-1; Practice Workbook: 3-1; Reading and Math Literacy: 3A; Guided Problem Solving: 3-1

TECH: Presentation Assistant Plus!: 3-1; Classroom Aids: 20 (for Lesson 3-1); www.PHSchool.com: Student Site: Algebra Readiness Puzzles: 14

E. Use proportional reasoning

Grade 8

• solve problems involving proportions, such as scaling and finding equivalent ratios

SE/TE: 294-298, 299-303, 304, 315-319, 323, 339-341, 342, 343, 479, 487-488, 550, 578, 596, 598-601, 626-627, 749

TR: Math Background, Teaching Notes, and Additional Examples listed in margins of TE pages listed above; Practice/Reteaching/Enrichment Worksheets: 6-2, 6-3, 6-6, 11-4; Practice Workbook: 6-2, 6-3, 6-6, 11-4; Guided Problem Solving: 6-2, 6-3, 6-6, 11-4; Hands-On Activities: 15, 16

TECH: Technology Activities: 11, 12, 30; Presentation Assistant Plus!: 6-2, 6-3, 6-6, 11-4; www.PHSchool.com: Student Site: Algebra Readiness Puzzles: 20, 21

Algebraic Relationships 1. Understand patterns, relations and functions

A. Recognize and extend patterns Grade 8 N/A






B. Create and analyze patterns Grade 8

• generalize patterns represented graphically or numerically using words or symbolic rules, including recursive notation

SE/TE: 33, 35-39, 40-43, 45, 49, 56, 59, 60, 61, 83, 90, 98, 110, 155, 166, 171, 199-200, 204, 215, 220, 262, 263, 285, 396, 404, 582, 664, 688-692, 693, 697, 702, 729-730, 732, 744, 756

TR: Math Background, Teaching Notes, and Additional Examples listed in margins of TE pages listed above; Practice/Reteaching/Enrichment Worksheets: 1-7, 1-8, 13-1; Practice Workbook: 1-7, 1-8, 13-1; Reading and Math Literacy: 13A; Guided Problem Solving: 1-7, 1-8, 13-1

TECH: Presentation Assistant Plus!; www.PHSchool.com: Student Site: Algebra Readiness Puzzles: 102; Graphing Calculator Procedures: 3

C. Classify objects and representations

Grade 8

• compare and contrast various forms of representations of patterns

SE/TE: 33, 35-39, 40-43, 45, 49, 56, 59, 60, 61, 83, SE/TE: 33, 35-39, 40-43, 45, 49, 56, 59, 60, 61, 83, 90, 98, 110, 155, 166, 171, 199-200, 204, 215, 220, 262, 263, 285, 396, 404, 582, 664, 688-692, 693, 697, 702, 729-730, 732, 744, 756

TR: Math Background, Teaching Notes, and Additional Examples listed in margins of TE pages listed above; Practice/Reteaching/Enrichment Worksheets: 1-7, 1-8, 13-1; Practice Workbook: 1-7, 1-8, 13-1; Reading and Math Literacy: 13A; Guided Problem Solving: 1-7, 1-8, 13-1

TECH: Presentation Assistant Plus!; www.PHSchool.com: Student Site: Algebra Readiness Puzzles: 102; Graphing Calculator Procedures: 3

D. Identify and compare functions

Grade 8

• compare properties of linear functions between or among tables, graphs and equations

SE/TE: 147, 375, 381, 392, 399, 405-409, 410, 411-416, 417, 418-422, 430-433, 434, 435-440, 446, 448, 450-451, 452, 453, 686, 735, 751






(Continued) • compare properties of linear functions

between or among tables, graphs and equations

(Continued) TR: Math Background, Teaching Notes, and

Additional Examples listed in margins of TE pages listed above; Practice/Reteaching/Enrichment Worksheets: 8-2, 8-3, 8-4, 8-6, 8-7; Practice Workbook: 8-2, 8-3, 8-4, 8-6, 8-7; Reading and Math Literacy: 8B, 8C; Guided Problem Solving: 8-2, 8-3, 8-4, 8-6, 8-7

TECH: Technology Lesson: page 417; Technology Activities: 14; Presentation Assistant Plus!: 8-2, 8-3, 8-4, 8-6, 8-7; Classroom Aids: 2 (for Lesson 8-2), 18 (for Lesson 8-3); www.PHSchool.com: Student Site: Algebra Readiness Puzzles: 63, 64, 65, 66, 67, 68, 69, 87; Graphing Calculator Procedures: 4, 5, 6, 9, 22

E. Describe the effects of parameter changes

Grade 8 N/A 2. Represent and analyze mathematical situations and structures using algebraic symbols

A. Represent mathematical situations Grade 8

• use symbolic algebra to represent and solve problems that involve linear relationships, including recursive relationships

SE/TE: 15-17, 39, 81-83, 87-90, 91, 92-95, 116, 118, 120, 121, 147, 375, 381, 392, 395, 405-409, 410, 411-416, 417, 418-422, 431-433, 435-440, 446, 448, 450, 452, 453, 565, 612, 686, 694-697, 698, 699-702, 703, 707, 714, 730, 732, 734, 735, 751, 756

TR: Math Background, Teaching Notes, and Additional Examples listed in margins of TE pages listed above; Practice/Reteaching/Enrichment Worksheets: 2-5, 2-6, 8-2, 8-3, 8-4, 8-6, 8-7; Practice Workbook: 2-5, 2-6, 8-2, 8-3, 8-4, 8-6, 8-7; Reading and Math Literacy: 8B, 8C; Guided Problem Solving: 2-5, 2-6, 8-2, 8-3, 8-4, 8-6, 8-7; Hands-On Activities: 2

TECH: Technology Lesson: page 417; Technology Activities: 4, 14; Presentation Assistant Plus!: 2-5, 2-6, 8-2, 8-3, 8-4, 8-6, 8-7; Classroom Aids: 2 (for Lesson 8-2), 13 (for Lessons 2-5 and 2-6), 18 (for Lesson 8-3)






(Continued) • use symbolic algebra to represent and solve

problems that involve linear relationships, including recursive relationships

(Continued) TECH: www.PHSchool.com: Student Site: Algebra

Readiness Puzzles: 37, 38, 39, 40, 63, 64, 65, 66, 67, 68, 69, 87; Graphing Calculator Procedures: 4, 5, 6, 7, 9, 22

B. Describe and use mathematical manipulation

Grade 8

• generate equivalent forms for linear expressions

SE/TE: 5-7, 12, 15-17, 21-22, 39, 49, 57, 60, 67, 73-75, 76-79, 81-83, 84-85, 87-90, 91, 92-95, 95, 105, 109, 116, 118, 120, 121, 147, 375, 381, 392, 395, 405-409, 410, 411-416, 417, 418-422, 431-433, 435-440, 446, 448, 450, 452, 453, 565, 612, 686, 694-697, 698, 699-702, 703, 707, 714, 730, 732, 734, 735, 751, 756

TR: Math Background, Teaching Notes, and Additional Examples listed in margins of TE pages listed above; Practice/Reteaching/Enrichment Worksheets: 1-1, 1-3, 2-3, 2-5, 2-6, 8-2, 8-3, 8-4, 8-6, 8-7; Practice Workbook: 1-1, 1-3, 2-3, 2-5, 2-6, 8-2, 8-3, 8-4, 8-6, 8-7; Reading and Math Literacy: 1A, 2B, 8B, 8C; Guided Problem Solving: 1-1, 1-3, 2-3, 2-5, 2-6, 8-2, 8-3, 8-4, 8-6, 8-7; Hands-On Activities: 2

TECH: Technology Lesson: page 417; Technology Activities: 2, 4, 14; Presentation Assistant Plus!: 1-1, 1-3, 2-3, 2-5, 2-6, 8-2, 8-3, 8-4, 8-6, 8-7; Classroom Aids: 2 (for Lesson 8-2), 7 (for Lesson 1-1), 13 (for Lessons 2-5 and 2-6), 18 (for Lesson 8-3); www.PHSchool.com: Student Site: Algebra Readiness Puzzles: 1, 2, 4, 25, 26, 28, 37, 38, 39, 40, 63, 64, 65, 66, 67, 68, 69, 87; Graphing Calculator Procedures: 1, 4, 5, 6, 7, 9, 22

C. Utilize equivalent forms

Grade 8 N/A

D. Utilize systems Grade 8 N/A






3. Use mathematical models to represent and understand quantitative relationships

A. Use mathematical models Grade 8

• model and solve problems, using multiple representations such as graphs, tables, equations or inequalities

SE/TE: 2, 7, 10, 18-22, 23, 24-28, 30-34, 44, 47, 58, 71, 73-74, 77-78, 84-85, 102-105, 106, 165, 202, 204, 214, 215, 225, 226, 227, 242, 306, 315-316, 348, 352, 367, 372, 373, 375-376, 377, 392, 398-399, 400-404, 405-409, 411-416, 417, 418-422, 423-428, 430-433, 434, 435-440, 441-446, 447, 450-451, 452, 453, 462, 476-479, 562-565, 580, 710, 712, 715, 719-720, 723, 725, 734, 742, 758, 762, 775

TR: Math Background, Teaching Notes, and Additional Examples listed in margins of TE pages listed above; Practice/Reteaching/Enrichment Worksheets: 1-4, 1-5, 1-6, 2-8, 8-1, 8-2, 8-3, 8-4, 8-5, 8-6, 8-7, 8-8, 9-4, 10-8; Practice Workbook: 1-4, 1-5, 1-6, 2-8, 8-1, 8-2, 8-3, 8-4, 8-5, 8-6, 8-7, 8-8, 9-4, 10-8; Reading and Math Literacy: 1B, 8A, 8B, 8C, 10C; Guided Problem Solving: 1-4, 1-5, 1-6, 2-8, 8-1, 8-2, 8-3, 8-4, 8-5, 8-6, 8-7, 8-8, 9-4, 10-8; Hands-On Activities: 1, 29

TECH: Technology Lesson: 447; Technology Activities: 3, 5, 14, 15; Presentation Assistant Plus!: 1-4, 1-5, 1-6, 2-8, 8-1, 8-2, 8-3, 8-4, 8-5, 8-6, 8-7, 8-8, 9-4, 10-8; Classroom Aids: 2, 6, 13, 18, 22, 23; www.PHSchool.com: Student Site: Algebra Readiness Puzzles: 3, 4, 27, 54, 63, 64, 65, 66, 67, 68, 69, 85, 86, 87, 105, 106; Graphing Calculator Procedures: 4, 5, 6, 8, 9, 20, 22

4. Analyze change in various contexts

A. Analyze change Grade 8

• analyze the nature of changes (including slope and intercepts) in quantities in linear relationships

SE/TE: 147, 375, 381, 392, 399, 405-409, 410, 411-416, 417, 418-422, 430-433, 434, 435-440, 446, 448, 450-451, 452, 453, 686, 735, 751

TR: Math Background, Teaching Notes, and Additional Examples listed in margins of TE pages listed above






(Continued) • analyze the nature of changes (including slope

and intercepts) in quantities in linear relationships

(Continued) TR: Practice/Reteaching/Enrichment Worksheets:

8-2, 8-3, 8-4, 8-6, 8-7; Practice Workbook: 8-2, 8-3, 8-4, 8-6, 8-7; Reading and Math Literacy: 8B, 8C; Guided Problem Solving: 8-2, 8-3, 8-4, 8-6, 8-7

TECH: Technology Lesson: page 417; Technology Activities: 14; Presentation Assistant Plus!: 8-2, 8-3, 8-4, 8-6, 8-7; Classroom Aids: 2 (for Lesson 8-2), 18 (for Lesson 8-3); www.PHSchool.com: Student Site: Algebra Readiness Puzzles: 63, 64, 65, 66, 67, 68, 69, 87; Graphing Calculator Procedures: 4, 5, 6, 9, 22

Geometric and Spatial Relationships 1. Analyze characteristics and properties of two- and three-dimensional geometric shapes and

develop mathematical arguments about geometric relationships

A. Describe and use geometric relationships Grade 8

• describe, classify and generalize relationships between and among types of

a) 2-dimensional objects and

SE/TE: 10, 12, 71, 144-146, 147, 170, 172, 299-303, 304, 309, 336-337, 356, 361, 456, 458-463, 470-474, 475, 476-479, 480-484, 485, 486-490, 497-501, 502, 503-506, 507-510, 511, 512, 513-515, 516, 517, 518-519, 520, 522-526, 527-531, 532-537, 539-543, 544, 545-550, 551, 552-553, 560, 562-565, 570, 571-573, 574, 575, 576-577, 580, 584-589, 590-591, 593, 595-596, 597, 599-601, 602-606, 608-612, 613, 614-618, 619, 620, 622-623, 624, 625, 626-627, 668, 672, 683, 692, 714, 751

TR: Math Background, Teaching Notes, and Additional Examples listed in margins of TE pages listed above; Practice/Reteaching/Enrichment Worksheets: 6-3, 9-2, 9-3, 9-4, 9-5, 9-6, 9-7, 9-8, 9-9, 9-10, 10-1, 10-2, 10-3, 10-8, 11-2, 11-5; Practice Workbook: 6-3, 9-2, 9-3, 9-4, 9-5, 9-6, 9-7, 9-8, 9-9, 9-10, 10-1, 10-2, 10-3, 10-8, 11-2, 11-5; Reading and Math Literacy: 9B, 9C, 10A, 10B, 10C; Guided Problem Solving: 6-3, 9-2, 9-3, 9-4, 9-5, 9-6, 9-7, 9-8, 9-9, 9-10, 10-1, 10-2, 10-3, 10-8, 11-2, 11-5






(Continued) a) 2-dimensional objects and

(Continued) TR: Hands-On Activities: 15, 16, 17, 19, 20, 21,

26, 27, 30 TECH: Technology Extensions: 496, 613;

Technology Activities: 16, 17, 18, 19, 20, 21, 22, 29; Presentation Assistant Plus!: 6-3, 9-2, 9-3, 9-4, 9-5, 9-6, 9-7, 9-8, 9-9, 9-10, 10-1, 10-2, 10-3, 10-8, 11-2, 11-5; Classroom Aids: 2, 3, 8, 9, 10, 24, 25, 26, 30; www.PHSchool.com: Student Site: Algebra Readiness Puzzles: 50, 51, 70, 105, 106, 107; Graphing Calculator Procedures: 2, 13

b) 3- dimensional objects using their

defining properties including

SE/TE: 277, 459, 461, 516, 538, 539-543, 544, 545-550, 551, 552-556, 557-560, 561, 562-565, 566-569, 570, 572-573, 574, 575, 583, 753

TR: Math Background, Teaching Notes, and Additional Examples listed in margins of TE pages listed above; Practice/Reteaching/Enrichment Worksheets: 10-4, 10-5, 10-6, 10-7, 10-8, 10-9; Practice Workbook: 10-4, 10-5, 10-6, 10-7, 10-8, 10-9; Reading and Math Literacy: 10C; Guided Problem Solving: 10-4, 10-5, 10-6, 10-7, 10-8, 10-9; Hands-On Activities: 24, 25, 27, 28

TECH: Technology Lesson: page 561; Technology Activities: 23, 24, 25, 26, 27; Presentation Assistant Plus!: 10-4, 10-5, 10-6, 10-7, 10-8, 10-9; Classroom Aids: 4, 11, 12, 27, 28, 29; www.PHSchool.com: Student Site:

• Pythagorean Theorem

SE/TE: 584-589, 590-591, 592, 596, 597, 602, 604, 610, 612, 622, 624, 754

TR: Math Background, Teaching Notes, and Additional Examples listed in margins of TE pages listed above; Practice/Reteaching/Enrichment Worksheets: 11-2; Practice Workbook: 11-2; Guided Problem Solving: 11-2; Hands-On Activities: 16

TECH: Technology Activities: 29; Presentation Assistant Plus!: 11-2; Classroom Aids: 30 (for Lesson 11-2); www.PHSchool.com: Student Site: Algebra Readiness Puzzles: 50, 51; Graphing Calculator Procedures: 2

• cross-section of a 3- dimensional object results in what 2- dimensional shape

SE/TE: 544 TR: Teaching Notes, Error Prevention, Tactile

Learners, Additional Example: TE margin, page 544

TECH: Prentice Hall Presentation Pro CD; www.PHSchool.com: Student Site






B. Apply geometric relationships Grade 8

• apply relationships between corresponding sides and corresponding areas of similar polygons to solve problems

SE/TE: 297, 299-303, 304, 309, 340, 342, 343, 598-601, 733

TR: Math Background, Teaching Notes, and Additional Examples listed in margins of TE pages listed above; Practice/Reteaching/Enrichment Worksheets: 6-3, 11-4; Practice Workbook: 6-3, 11-4; Guided Problem Solving: 6-3, 11-4; Hands-On Activities: 15, 16

TECH: Technology Extension: 304; Technology Activities: 30; Presentation Assistant Plus!: 6-3, 11-4; www.PHSchool.com: Student Site

C. Compose and decompose shapes

Grade 8 N/A 2. Specify locations and describe spatial relationships using coordinate geometry and other

representational systems

A. Use coordinate systems Grade 8

• use coordinate geometry to analyze properties of right triangles and quadrilaterals

SE/TE: 53-54, 439, 497-501, 502, 504-505, 507, 509, 593, 595-596, 668, 752

TR: Math Background, Teaching Notes, and Additional Examples listed in margins of TE pages listed above; Practice/Reteaching/Enrichment Worksheets: 9-8, 9-9, 9-10, 11-3; Practice Workbook: 9-8, 9-9, 9-10, 11-3; Reading and Math Literacy: 9C, 11A; Guided Problem Solving: 9-8, 9-9, 9-10, 11-3; Hands-On Activities: 30

TECH: Technology Activities: 20, 21; Presentation Assistant Plus!: 9-8, 9-9, 9-10, 11-3; Classroom Aids: 2, 26 (for Lessons 9-8, 9-9, 9-10); 31 (for Lesson 11-3); www.PHSchool.com: Student Site: Graphing Calculator Procedures: 13, 19






3. Apply transformations and use symmetry to analyze mathematical situations

A. Use transformations on objects Grade 8

• reposition shapes under formal transformations, such as reflection, rotation and translation

SE/TE: 53, 299-303, 304, 375, 497-501, 502, 503-506, 507-510, 511, 515, 516, 526, 668, 752

TR: Math Background, Teaching Notes, and Additional Examples listed in margins of TE pages listed above; Practice/Reteaching/Enrichment Worksheets: 9-8, 9-9, 9-10; Practice Workbook: 9-8, 9-9, 9-10; Reading and Math Literacy: 9C; Guided Problem Solving: 9-8, 9-9, 9-10; Hands-On Activities: 30

TECH: Technology Extension: 304; Technology Activities: 20, 21; Presentation Assistant Plus!: 9-8, 9-9, 9-10; Classroom Aids: 2, 26 (for Lessons 9-8, 9-9, 9-10); www.PHSchool.com: Student Site: Graphing Calculator Procedures: 13

B. Use transformations on functions

Grade 8

• describe the relationship between the scale factor and the area of the image using a dilation (stretching/ shrinking)

SE/TE: 297, 299-303, 304, 309, 313, 340, 342, 343, 361, 375, 386, 598-601, 733


TECH: Technology Extension: 304; Technology Activities: 30; Presentation Assistant Plus!: 6-3, 11-4; www.PHSchool.com: Student Site

C. Use symmetry

Grade 8

• identify the number of rotational symmetries of regular polygons

SE/TE: 507-510, 515, 516, 517 TR: Math Background, Teaching Notes, and

Additional Examples listed in margins of TE pages listed above; Practice/Reteaching/Enrichment Worksheets: 9-10; Practice Workbook: 9-10; Guided Problem Solving: 9-10; Hands-On Activities: 30






(Continued) • identify the number of rotational symmetries

of regular polygons

(Continued) TECH: Technology Activities: 20; Presentation

Assistant Plus!: 9-10; Classroom Aids: 2, 26 (for Lesson 9-10); www.PHSchool.com: Student Site

4. Use visualization, spatial reasoning and geometric modeling to solve problems

A. Recognize and draw three-dimensional representations Grade 8

• create isometric drawings from a given mat plan

SE/TE: 538 TR: Teaching Notes, Error Prevention, Inclusion,

Additional Example: margin of TE page 538 TECH: Presentation Assistant Plus!;

www.PHSchool.com: Student Site:

B. Draw and use visual models Grade 8

• draw or use visual models to represent and solve problems

SE/TE: 7, 10, 12, 23, 24-25, 27, 30-33, 35-39, 71, 73-74, 77-78, 84-85, 144-146, 147, 170, 172, 179, 185, 186, 190, 191, 192, 199-200, 207, 248-249, 277, 285, 300, 303, 309, 336-337, 352, 356, 361, 367, 376, 388, 460, 462, 467, 469, 472, 474, 476-479, 482-483, 496, 497-498, 501, 503, 508-510, 511, 517, 518-519, 522, 525, 527-529, 532, 534-536, 538, 539-543, 544, 545-550, 552, 562-565, 567, 572, 574, 576-577, 586, 588, 598-601, 603, 610-612, 613, 614-618, 619, 620, 622, 624, 625, 626-627, 674, 676, 715, 717-718, 719-721, 724-727, 731

TR: Math Background, Teaching Notes, and Additional Examples listed in margins of TE pages listed above; Practice/Reteaching/Enrichment Worksheets: 9-4, 10-4, 10-5, 10-8, 11-4, 11-7; Practice Workbook: 9-4, 10-4, 10-5, 10-8, 11-4, 11-7; Reading and Math Literacy: 10C; Guided Problem Solving: 9-4, 10-4, 10-5, 10-8, 11-4, 11-7; Hands-On Activities: 16, 24, 25

TECH: Technology Extension: 496; Technology Activities: 23, 24, 30; Presentation Assistant Plus!: 9-4, 10-4, 10-5, 10-8, 11-4, 11-7; Classroom Aids: 4, 11, 12, 27 (for Lessons 10-4 and 10-5); 32 (for Lesson 11-7); www.PHSchool.com: Student Site: Algebra Readiness Puzzles: 105, 106






Measurement 1. Understand measurable attributes of objects and the units, systems and processes of measurement

A. Determine unit of measurement Grade 8 N/A

B. Identify equivalent measures Grade 8

• identify the equivalent volume measures within a system of measurement (e.g., m3 to cm3)

SE/TE: 557-560, 561, 563-565, 566-569, 573, 574, 575, 583, 668, 714, 733, 742, 753

TR: Math Background, Teaching Notes, and Additional Examples listed in margins of TE pages listed above; Practice/Reteaching/Enrichment Worksheets: 10-7, 10-9; Practice Workbook: 10-7, 10-9; Guided Problem Solving: 10-7, 10-9; Hands-On Activities: 25, 27, 28

TECH: Technology Activities: 25, 26, 27; Presentation Assistant Plus!: 10-7, 10-9; Classroom Aids: 11, 12, 29 (for Lessons 10-7 and 10-9); www.PHSchool.com: Student Site

C. Tell and use units of time

Grade 8 N/A

D. Count and compute money Grade 8 N/A 2. Apply appropriate techniques, tools and formulas to determine measurements

A. Use standard or nonstandard measurement Grade 8 N/A






B. Use angle measurement Grade 8

• use tools to determine the measure of reflex angles to the nearest degree

SE/TE: 464, 465-469, 475, 487-490, 516, 613 TR: Teaching Notes: margins of TE pages 464,

613; Math Background, additional Teaching Notes, and Additional Examples listed in margins of TE pages listed above

TECH: Technology Extension: 613; Presentation Assistant Plus!; www.PHSchool.com: Student Site

C. Apply geometric measurements

Grade 8

• describe how to solve problems involving surface area and/or volume of a rectangular or triangular prism, or cylinder

SE/TE: 545-550, 551, 555-556, 557-560, 561, 563-565, 569, 572-573, 574, 575, 714, 735, 753


TECH: Technology Extension: 561; Technology Activities: 23, 24, 25, 26; Presentation Assistant Plus!: 10-5, 10-7; Classroom Aids: 11, 12, 27, 29 (for Lessons 10-5 and 10-7); www.PHSchool.com: Student Site

D. Analyze precision

Grade 8

• analyze precision and accuracy in measurement situations and determine number of significant digits

SE/TE: 127, 130-131, 134-135, 148, 161, 162-163, 169, 255-256, 258, 312, 537, 543, 550, 561, 622-623, 624, 639, 672, 677, 696

TR: Math Background, Teaching Notes, and Additional Examples listed in margins of TE pages listed above; additional Teaching Notes in margins of TE pages 162-163 and 258

TECH: Presentation Assistant Plus!; www.PHSchool.com: Student Site






E. Use relationships within a measurement system Grade 8

• convert square or cubic units to equivalent square or cubic units within the same system of measurement

SE/TE: 157-161, 167, 171, 172, 253-257, 267, 281, 282, 284-285, 289-290, 292-293, 410, 422, 440, 522-525, 531, 535, 549-550, 639

TR: Math Background, Teaching Notes, and Additional Examples listed in margins of TE pages listed above; Practice/Reteaching/Enrichment Worksheets: 5-5, 10-1; Practice Workbook:; Reading and Math Literacy: 10A; Guided Problem Solving: 5-5, 10-1; Hands-On Activities: 6, 22, 23, 26

TECH: Presentation Assistant Plus!: 5-5, 10-1; Classroom Aids: 9, 10 (for Lesson 10-1); 14 (for Lesson 5-5); www.PHSchool.com: Student Site: Graphing Calculator Procedure 2

Data and Probability 1. Formulate questions that can be addressed with data and collect, organize and display

relevant data to answer them

A. Formulate questions Grade 8

• formulate questions, design studies and collect data about a characteristic

SE/TE: 423-424, 486, 669-672, 673, 674-677, 681, 683, 692, 740, 743

TR: Math Background, Teaching Notes, and Additional Examples listed in margins of TE pages listed above; Practice/Reteaching/Enrichment Worksheets: 12-8, 12-9; Practice Workbook: 12-8, 12-9; Reading and Math Literacy: 12C; Guided Problem Solving: 12-8, 12-9; Hands-On Activities: 33

TECH: Technology Investigation: 673; Technology Activities: 35; Presentation Assistant Plus!: 12-8, 12-9; www.PHSchool.com: Student Site: Graphing Calculator Procedure 15

B. Classify and organize data

Grade 8 N/A






C. Represent and interpret data Grade 8

• select, create and use appropriate graphical representation of data (including scatter plots)

SE/TE: 39, 42, 92, 100-101, 137, 321, 423-428, 429, 430-433, 434, 440, 451, 452, 453, 454, 487-490, 501, 515, 516, 630-633, 634, 635-639, 640-641, 642-647, 648, 653, 680, 682, 683, 751, 755

TR: Math Background, Teaching Notes, and Additional Examples listed in margins of TE pages listed above; Practice/Reteaching/Enrichment Worksheets: 8-5, 8-6, 9-6, 12-1, 12-2, 12-3; Practice Workbook: 8-5, 8-6, 9-6, 12-1, 12-2, 12-3; Reading and Math Literacy: 12A; Guided Problem Solving: 8-5, 8-6, 9-6, 12-1, 12-2, 12-3; Hands-On Activities: 17, 18, 27

TECH: Technology Feature: 100-101; Technology Extensions: 634, 640-641; Technology Activities: 14, 15, 32, 33; Presentation Assistant Plus!: 8-5, 8-6, 9-6, 12-1, 12-2, 12-3; Classroom Aids: 1 (for Lessons 12-1 and 12-3); 2 (for Lesson 8-6); 8 (for Lesson 9-6); 22, 23 (for Lesson 8-5); 33, 34, 35 (for Lesson 12-2); 36 (for Lesson 12-3); www.PHSchool.com: Student Site: Graphing Calculator: Procedures 20, 21, 22

2. Select and use appropriate statistical methods to analyze data

A. Describe and analyze data Grade 8

• find, use and interpret measures of center, outliers and spread, including range and interquartile range

SE/TE: 17, 46, 48, 137-141, 142, 146, 167, 168, 169-170, 172, 185, 247, 303, 314, 361, 628, 633, 635-639, 640-641, 647, 653, 679-680, 682, 683, 685, 746

TR: Math Background, Teaching Notes, and Additional Examples listed in margins of TE pages listed above; Practice/Reteaching/Enrichment Worksheets: 3-3, 12-2; Practice Workbook: 3-3, 12-2; Guided Problem Solving: 3-3, 12-2; Hands-On Activities: 18

TECH: Technology Extension: 142; Technology Activities: 6, 33; Presentation Assistant Plus!: 3-3, 12-2; Classroom Aids: 33, 34, 35 (for Lesson 12-2); www.PHSchool.com: Student Site: Graphing Calculator: Procedure 21






B. Compare data representations Grade 8

• compare different representations of the same data and evaluate how well each representation shows important aspects of the data

SE/TE: 39, 42, 92, 100-101, 137, 321, 423-428, 429, 430-433, 434, 440, 451, 452, 453, 454, 487-490, 501, 515, 516, 630-633, 634, 635-639, 640-641, 642-647, 648, 653, 680, 682, 683, 751, 755

TR: Math Background, Teaching Notes, and Additional Examples listed in margins of TE pages listed above; Practice/Reteaching/Enrichment Worksheets: 8-5, 8-6, 9-6, 12-1, 12-2, 12-3; Practice Workbook: 8-5, 8-6, 9-6, 12-1, 12-2, 12-3; Reading and Math Literacy: 12A; Guided Problem Solving: 8-5, 8-6, 9-6, 12-1, 12-2, 12-3; Hands-On Activities: 17, 18, 27

TECH: Technology Feature: 100-101; Technology Extensions: 634, 640-641; Technology Activities: 14, 15, 32, 33; Presentation Assistant Plus!: 8-5, 8-6, 9-6, 12-1, 12-2, 12-3; Classroom Aids: 1 (for Lessons 12-1 and 12-3); 2 (for Lesson 8-6); 8 (for Lesson 9-6); 22, 23 (for Lesson 8-5); 33, 34, 35 (for Lesson 12-2); 36 (for Lesson 12-3); www.PHSchool.com: Student Site: Graphing Calculator: Procedures 20, 21, 22

C. Represent data algebraically

Grade 8 N/A 3. Develop and evaluate inferences and predictions that are based on data

A. Develop and evaluate inferences Grade 8

• make conjectures about possible relationships between 2 characteristics of a sample on the basis of scatter plots of the data and approximate lines of fit

SE/TE: 423-428, 429, 430-433, 440, 451, 452, 453, 751

TR: Math Background, Teaching Notes, and Additional Examples listed in margins of TE pages listed above; Practice/Reteaching/Enrichment Worksheets: 8-5, 8-6; Practice Workbook: 8-5, 8-6; Guided Problem Solving: 8-5, 8-6






(Continued) • make conjectures about possible relationships

between 2 characteristics of a sample on the basis of scatter plots of the data and approximate lines of fit

(Continued) TECH: Technology Activities: 14, 15; Presentation

Assistant Plus!: 8-5, 8-6; Classroom Aids: 2 (for Lesson 8-6); 22, 23 (for Lesson 8-5); www.PHSchool.com: Student Site: Graphing Calculator: Procedure 22

B. Analyze basic statistical techniques

Grade 8 N/A 4. Understand and apply basic concepts of probability

A. Apply basic concepts of probability Grade 8

• make conjectures (based on theoretical probability) about the results of experiments

SE/TE: 199, 305-309, 313, 314, 340, 342, 351, 422, 653, 654-658, 663, 665-668, 674-677, 678, 680-681, 682, 683, 749, 755

TR: Math Background, Teaching Notes, and Additional Examples listed in margins of TE pages listed above; Practice/Reteaching/Enrichment Worksheets: 6-4, 12-5, 12-7, 12-9; Practice Workbook: 6-4, 12-5, 12-7, 12-9; Reading and Math Literacy: 6B; Guided Problem Solving: 6-4, 12-5, 12-7, 12-9; Hands-On Activities: 34

TECH: Technology Activities: 35; Presentation Assistant Plus!: 6-4, 12-5, 12-7, 12-9; www.PHSchool.com: Student Site: Graphing Calculator: Procedure 15

B. Use and describe compound events

Grade 8 N/A

Reference: http://www.dese.state.mo.us/divimprove/curriculum/GLEDocuments.html