Missouri Mathematics Grade-Level Expectations () Number and Operations 1. Understand numbers, ways of representing numbers, relationships among numbers and number systems A. Read, write and compare numbers 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 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 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 1
Missouri Mathematics Grade-Level Expectations, () use fractions, decimals and percents to solve problems 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 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 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); Readiness Puzzles: 7, 10, 11, 13, 22; Graphing Calculator Procedures: 1, 18 2
Missouri Mathematics Grade-Level Expectations, () D. Classify and describe numeric relationships 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 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); Readiness Puzzles: 8, 9, 12 2. Understand meanings of operations and how they relate to one another A. Represent operations B. Describe effects of operations 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 1-9; Practice Workbook: 1-9; Reading and Math Literacy: 1C; Guided Problem Solving: 1-9 TECH: Presentation Assistant Plus!: 1-9; Readiness Puzzles: 5, 6 3
Missouri Mathematics Grade-Level Expectations, () C. Apply properties of operations 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 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); 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 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 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 4
Missouri Mathematics Grade-Level Expectations, () apply the relationship between squares and square roots and cubes and cube roots to solve a problem TECH: Graphing Calculator Procedures: 1, 2, 19 3. Compute fluently and make reasonable estimates A. Describe or represent mental strategies B. Develop and demonstrate fluency C. Compute problems 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 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 5
Missouri Mathematics Grade-Level Expectations, () D. Estimate and justify solutions 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 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); Readiness Puzzles: 14 E. Use proportional reasoning 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 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; Readiness Puzzles: 20, 21 Algebraic Relationships 1. Understand patterns, relations and functions A. Recognize and extend patterns 6
Missouri Mathematics Grade-Level Expectations, () B. Create and analyze patterns 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 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!; Readiness Puzzles: 102; Graphing Calculator Procedures: 3 C. Classify objects and representations 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 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!; Readiness Puzzles: 102; Graphing Calculator Procedures: 3 D. Identify and compare functions 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 7
Missouri Mathematics Grade-Level Expectations, () compare properties of linear functions between or among tables, graphs and equations 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); 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 2. Represent and analyze mathematical situations and structures using algebraic symbols A. Represent mathematical situations 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 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) 8
Missouri Mathematics Grade-Level Expectations, () use symbolic algebra to represent and solve problems that involve linear relationships, including recursive relationships TECH: 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 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 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 D. Utilize systems 9
Missouri Mathematics Grade-Level Expectations, () 3. Use mathematical models to represent and understand quantitative relationships A. Use mathematical models 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 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 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 pages listed above 10
Missouri Mathematics Grade-Level Expectations, () analyze the nature of changes (including slope and intercepts) in quantities in linear relationships 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); 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 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 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 11
Missouri Mathematics Grade-Level Expectations, () a) 2-dimensional objects and b) 3- dimensional objects using their defining properties including 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; Readiness Puzzles: 50, 51, 70, 105, 106, 107; Graphing Calculator Procedures: 2, 13 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 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 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 Teaching Notes, Error Prevention, Tactile Learners, Additional Example: TE margin, page 544 TECH: Prentice Hall Presentation Pro CD; www.phschool.com: Student Site 12
Missouri Mathematics Grade-Level Expectations, () B. Apply geometric relationships 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 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 2. Specify locations and describe spatial relationships using coordinate geometry and other representational systems A. Use coordinate systems 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 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 13
Missouri Mathematics Grade-Level Expectations, () 3. Apply transformations and use symmetry to analyze mathematical situations A. Use transformations on objects 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 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 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 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. Use symmetry identify the number of rotational symmetries of regular polygons SE/TE: 507-510, 515, 516, 517 9-10; Practice Workbook: 9-10; Guided Problem Solving: 9-10; Hands-On Activities: 30 14
Missouri Mathematics Grade-Level Expectations, () identify the number of rotational symmetries of regular polygons 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 create isometric drawings from a given mat plan SE/TE: 538 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 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 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); Readiness Puzzles: 105, 106 15
Missouri Mathematics Grade-Level Expectations, () Measurement 1. Understand measurable attributes of objects and the units, systems and processes of measurement A. Determine unit of measurement B. Identify equivalent measures identify the equivalent volume measures within a system of measurement (e.g., m 3 to cm 3 ) SE/TE: 557-560, 561, 563-565, 566-569, 573, 574, 575, 583, 668, 714, 733, 742, 753 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 D. Count and compute money 2. Apply appropriate techniques, tools and formulas to determine measurements A. Use standard or nonstandard measurement 16
Missouri Mathematics Grade-Level Expectations, () B. Use angle measurement use tools to determine the measure of reflex angles to the nearest degree SE/TE: 464, 465-469, 475, 487-490, 516, 613 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 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 10-5, 10-7; Practice Workbook: 10-5, 10-7; Guided Problem Solving: 10-5, 10-7; Hands- On Activities: 25, 28 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 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 additional Teaching Notes in margins of TE pages 162-163 and 258 TECH: Presentation Assistant Plus!; www.phschool.com: Student Site 17
Missouri Mathematics Grade-Level Expectations, () E. Use relationships within a measurement system 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 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 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 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 18
Missouri Mathematics Grade-Level Expectations, () C. Represent and interpret data 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 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 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 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 19
Missouri Mathematics Grade-Level Expectations, () B. Compare data representations 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 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 3. Develop and evaluate inferences and predictions that are based on data A. Develop and evaluate inferences 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 8-5, 8-6; Practice Workbook: 8-5, 8-6; Guided Problem Solving: 8-5, 8-6 20
Missouri Mathematics Grade-Level Expectations, () 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 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 4. Understand and apply basic concepts of probability A. Apply basic concepts of probability 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 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 Reference: http://www.dese.state.mo.us/divimprove/curriculum/gledocuments.html 21