Shawnee Mission Public School Pre-Algebra 8 Math Objectives (Grade 8) Apply a variety of problem-solving strategies to problems encountered in Pre-Algebra 8 mathematics. These will include, but not limited, make a table, work backwards, find a pattern and generalize, guess and check, use physical models, apply proportional reasoning. SE/TE: xviii-xix, xx-xxi, xxii, xxiii, xxiv, xxv, xxvi, xxviii, xxix, 4, 10, 16, 21, 27, 36, 41, 46, 50, 60, 66, 71, 76, 81, 86, 94, 100, 105, 110, 120, 126, 131, 135, 144, 149, 154, 159, 170, 176, 181, 186, 194, 199, 205, 210, 220, 226, 232, 238, 246, 251, 252-255, 261, 272, 279, 280-285, 290, 299, 304, 310, 322, 329, 334, 339, 349, 354, 360, 368, 373, 378, 388, 395, 400, 406, 415, 420, 426, 431, 442, 449, 455, 460, 465, 471, 480, 486, 491, 496, 506, 512, 517, 522, 527, 536, 541, 547, 552, 562, 564,8, 573, 578, 583, 589, 599, 604, 609, 614, 624, 630, 636, 642, 650, 656, 662, 667 TE: Problem of the Day for each lesson, and the Inservice Workshop Problem Solving and Reading Math, on pages B4 B5 TR: Problem Solving master and Daily Transparency for each lesson * = Formerly Scott Foresman Addison Wesley 1
Give oral or written interpretation of concepts and procedures in Pre-Algebra 8. SE/TE: 2-3,5, 6, 8, 10, 14, 19, 21, 25, 27, 28, 31, 32, 34, 36, 39, 42, 44, 46, 47, 48, 50, 51, 57, 58-59, 61, 62, 64, 66, 69, 71, 72, 74, 76, 79, 81, 82, 84, 86, 87, 90, 92, 94, 96, 98, 100, 101, 103, 105, 106, 108, 110, 111, 120, 122, 124, 125, 239, 234, 135, 137, 140, 142, 145, 147, 150, 152, 155, 157, 159, 174, 177, 179, 181, 182, 184, 187, 188, 190, 192, 197, 199, 203, 208, 210, 213, 224, 226, 230, 232, 233, 236, 238, 244, 246, 249, 253, 255, 256, 259, 261, 265, 274, 277, 279, 280, 283, 285, 286, 288, 290, 294, 297, 299, 300, 302, 304, 305, 308, 311, 312, 313, 323, 324, 327, 329, 330, 332, 334, 335, 337, 339, 340, 341, 344, 347, 349, 350, 352, 354, 358, 360, 364, 366, 368, 371, 373, 376, 378, 387, 389, 390, 393, 395, 396, 398, 400, 404, 406, 407, 413, 415, 416, 418, 420, 421, 424, 429, 431, 432, 443, 447, 449, 450, 453, 455, 456, 458, 460, 461, 463, 465, 469, 471, 472, 478, 480, 481, 484, 486, 487, 489, 491, 492, 494, 496, 510, 512, 515, 517, 518, 520, 522, 525, 527, 528, 529, 532, 534, 536, 537, 539, 541, 542, 545, 547, 548, 550, 552, 561, 563, 564, 566, 567, 569, 571, 573, 574, 576, 579, 581, 583, 584, 587, 589, 591, 594, 597, 599, 600, 602, 604, 605, 607, 609, 610, 612, 614, 615, 628, 630, 634, 636, 637, 640, 642, 646, 648, 650, 654, 657, 660, 662, 663, 665, 667, 669 TE: 6, 9, 10, 11, 15, 17, 21, 22, 37, 41, 49, 53, 67, 71, 72, 75, 122, 143, 158, 159, 193, 194, 198, 201, 226, 233, 238, 246, 251, 252, 261, 274, 279, 280, 285, 324, 329, 330, 334, 339, 349, 354, 360, 373, 399, 415, 416, 455, 461, 465, 471, 480, 485, 496, 517, 521, 522, 541, 547, 567, 578, 589, 598, 626, 637, 663 TR: Practice masters for Lessons 1-2, 1-6, 2-8, 4-5, 10-2. Reteaching masters for Lessons 1-8, 3-5, 5-3, 10-3. Problem Solving masters for Lessons 1-2, 1-2, 1-4, 1-5, 1-8, 2-1, 2-2, 2-4, 2-6, 2-7, 2-8, 2-9, 3-2, 3-3, 3-5, 3-7, 3-7, 4-1, 4-5, 4-7, 5-1, 5-2, 5-3, 5-4, 5-5, 5-6, 5-7, 6-1, 6-3, 6-4, 6-5, 6-6, 7-1, 7-2, 7-5, 7-6, 7-7, 7-8, 7-9, 8-1, 8-2, 8-3, 8-5, 8-6, 8-7, 9-1, 9-2, 9-3, 9-4, 9-5, 9-6, 9-7, 9-8, 9-9, 10-1, 10-2, 10-2, 10-4, 10-5, 10-8, 11-1, 11-3, 11-4, 11-5, 11-6, 11-7, 11-8, 11-9, 12-1, 12-4, 12-6, 12-7. 2
(Continued) Give oral or written interpretation of concepts and procedures in Pre-Algebra 8. Give oral and written interpretation to the meaning of problem solutions in Pre-Algebra 8. Use precise language to define and / or describe geometrical terms, figures and relationships. (Continued) TR: Enrichment masters for Lessons 1-1, 1-2, 1-4, 2-9, 3-1, 3-2, 4-1, 4-5, 4-6, 4-7, 5-2, 7-8, 8-4, 9-6, 9-8, 10-1, 10-3, 10-8, 11-1, 11-3, 12-1, 12-3, 12-7. Interdisciplinary Team teaching masters for Chapter Sections 1B, 5A, 7C, 8A, 10A, 10B, 11A, 11B, 12B SE/TE: xx-xxi, 4, 5, 11, 14, 16, 17, 22, 28, 29, 31, 32, 36, 37, 41, 42, 47, 48, 51, 57, 58-59, 61, 66, 71, 87, 121, 124, 126, 127, 132, 134, 139, 149, 154, 161, 181, 187, 194, 201, 204, 205, 206, 211, 222, 239, 247, 251, 252, 261, 294, 304, 308, 311, 315, 321, 355, 361, 426, 427, 441, 499, 529, 531, 614, 656, 669 TE: 16, 22, 180, 181, 201, 222, 339, 655 TR: TR: Practice masters for Lessons 1-3, 1-4, 1-5, 1-8, 5-2, 10-1, 12-5. Reteaching masters for Lessons 1-7, 12-5. Problem Solving masters for Lessons 1-7, 2-2, 2-3, 2-5, 3-1, 3-6, 4-2, 4-3, 4-6, 5-7, 10-3, 11-5, 12-7. Enrichment masters for Lessons 1-2, 2-2, 2-4, 6-2, 6-4, 6-5, 7-4, 7-7, 8-3, 9-2, 10-1, 10-2, 10-6, 11-4, 11-7, 12-5, 12-6. Interdisciplinary Team teaching masters for Chapter Sections 1A, 1B, 2A, 3A, 5A, 6A, 6B, 7A, 7B, 7C, 8A SE/TE: 393, 395, 398, 401, 406, 413, 415, 418, 420, 421, 424, 426, 429, 431, 444, 447, 449, 450, 453, 455, 456, 458, 460, 461, 463, 465, 469, 471, 478, 481, 484, 486, 487, 489, 491, 492, 494, 496, 564, 566, 567, 568, 569, 571, 573, 574, 576, 578, 579, 581, 583, 587, 589, 591, 594, 597, 599, 600, 602, 604, 607, 609, 610, 612, 614 TE: 394, 399, 415, 419, 426, 448, 455, 465, 471, 480, 485, 490, 496, 567, 568, 572, 573, 578, 588, 598 Enrichment masters for Lessons 8-4, 9-6, 9-8, 11-1, 11-2, 11-3, 11-7, and Interdisciplinary Team Teaching masters for Chapter section 11B 3
Translate problem situations involving all four operations into linear expressions and equations. Formulate and validate conjectures and conclusions drawn from mathematical arguments. SE/TE: 122-126, 127-131, 132-136, 137, 170, 172-176, 177-181, 233-238, 280-285, 294-299, 300-304, 305-310, 349, 421-426, 508-512, 513-517 TE: 136, 140, 153, 175, 176, 181, 237, 251, 511 Enrichment masters for Lessons 3-2, 3-3, 3-4, 3-6, 4-1, 4-2, 4-3, 4-5, 4-7, 5-4, 5-5, 5-7, 6-2, 6-5, 6-6, 7-6, 10-1, 10-2, and Interdisciplinary Team Teaching masters for Chapter sections 3A, 3B, 4A, 4B, 10A SE/TE: 37, 42-46, 47-50, 51, 67-71, 140, 159, 206, 211, 213, 238, 239, 252, 285, 294, 304, 310, 324, 329, 334, 355, 360, 368, 373, 407, 420, 426, 444, 450, 460, 461, 465, 471, 480, 481, 486, 491, 532, 548, 552, 574, 578, 583, 594, 599, 600, 604, 609, 614, 656, 657, 662 Enrichment masters for Lessons 1-4, 9-8, 10-1, 10-4, 11-3, and Interdisciplinary Team Teaching masters for Chapter sections 4
Translate between verbal descriptions and visual representations. SE/TE: xxii, xxvii, xxviii, 6-10, 17-21, 22-27, 37-41, 42-46, 62-66, 67-71, 77, 84, 87, 90-94, 99, 100, 101, 106, 122, 127, 143, 144, 145, 150, 172-176, 177, 182-186, 187, 190-194, 195-199, 200, 201-205, 207-210, 211, 213, 222-226, 227-232, 233-238, 254, 256-261, 262, 263, 280-285, 286-290, 300, 311, 324-329, 330-334, 335-339, 341, 344, 349, 350, 353, 364, 366, 369, 374-378, 379, 390, 396, 401-406, 410-415, 416-420, 421-426, 427-431, 432, 433, 435, 444-449, 450-455, 456-460, 461-465, 466-471, 472, 473, 476-480, 481-486, 487-491, 492-496, 499, 513-517, 518-522, 523-527, 528, 529, 532, 537-541, 542-547, 551, 553, 564-568, 569-573, 574-578, 579-583, 584-589, 591, 594-599, 600-604, 605-609, 610-614, 615, 617, 626-636, 646, 650, 651-5656, 657-662, 671 TE: 10, 11, 15, 21, 22, 41, 65, 186, 206, 225, 399, 401, 406, 415, 427, 440D, 449, 456, 460, 465, 471, 485, 487, 491, 496, 511, 521, 527, 568, 573, 574, 578, 582, 583, 589, 599, 500, 504, 605, 608, 609, 635 Enrichment masters for Lessons 1-1, 1-3, 1-4, 1-6, 1-7, 1-8, 2-1, 2-2, 2-3, 2-4, 2-6, 2-7, 2-9, 3-1, 3-4, 3-7, 4-1, 4-4, 4-5, 4-6, 4-7, 5-1, 5-2, 5-3, 5-7, 6-1, 6-2, 6-3, 6-4, 7-1, 7-2, 7-3, 7-9, 8-3, 8-4, 8-5, 8-6, 8-7, 9-1, 9-2, 9-3,9-4, 9-5, 9-6, 9-7, 9-8, 9-9, 10-2, 10-3, 10-4, 10-6, 10-7, 10-8, 11-1, 11-2, 11-3, 11-4, 11-5, 11-6, 11-7, 11-8, 11-9, 12-1, 12-2, 12-3, 12-4, 12-5, 12-6, 12-7, and Interdisciplinary Team Teaching masters for Chapter sections 1A, 1B, 3A, 3B, 4A, 4B, 5A, 8A, 8B, 9A, 9B, 10A, 11B, 12A, 12B Identify numbers as rational, irrational, or real. SE/TE: 369-373 TE: 372, 373 Enrichment masters for Lesson 7-8 Use estimation to assess the reasonableness of results. SE/TE: xx-xxi, 286-290, 442, 624 TE: B4-B5 Enrichment masters for Lessons 2-5, 2-7, 3-1, 3-6, 5-7, 6-3, 7-7 5
Estimate square roots of numbers greater than 1 within an accurate interval. Estimate the results when values are substituted into an expression or formula. Add, subtract, multiply and divide positive and negative rational numbers. Find what percent one number is of another and find the whole when a percent is known. Use percents to calculate simple interest, sales price and amount of tax. SE/TE: 364-368, 369-373, 374-378, 379 TE: 320D, 368, 372, 373 Enrichment masters for Lessons 7-7, 7-8, 7-9, and Interdisciplinary Team Teaching masters for Chapter section 7C SE/TE: 491, 492-496 Enrichment masters for Lessons 3-1, 3-6, 9-9 SE/TE: 67-71, 72-76, 77-81, 82-86, 96-100, and throughout TE: 70, 71, 72, 76, 77, 81, 86, 100 Enrichment masters for Lessons 2-2, 2-3, 2-4, 2-5, 2-7, and Interdisciplinary Team Teaching masters for Chapter section 2A SE/TE: 274-279, 280-285, 286-290, 291, 294-299, 300-304, 305-310, 311, 312, 646-650, 651-656, 657-662, 663-667 TE: 270D, 284, 285, 286, 289, 290, 298, 299, 300, 303, 304, 305, 309, 310 Enrichment masters for Lessons 6-1, 6-2, 6-3, 6-4, 6-5, 6-6, 12-4, 12-5, 12-6, and Interdisciplinary Team Teaching masters for Chapter sections 6A, 6B SE/TE: 280-285, 294-299, 300-304, 305-310 TE: 270D, 298, 303, 309, 310 Enrichment masters for Lessons 6-2, 6-4, 6-5, 6-6 6
Use proportional relationships to represent and solve problems. SE/TE: 227-232, 233-238, 239, 242-246, 247-251, 252-255, 256-261, 262, 263, 265, 274-279, 280-285, 286-290, 291, 294-299, 300-304, 305-310, 312, 313, 355-360, 361, 450-455, 473, 481-486, 564-568, 579-583, 584-589, 600-604, 646-650, 651-656, 657-662, 663-667, 669, 671 TE: 231, 232, 237, 238, 242, 245, 246, 250, 251, 254, 255, 260, 261, 284, 289, 290, 294, 300, 303, 304, 309, 310, 360, 454, 455, 486, 564, 567, 579, 582, 583, 588, 589, 600, 603, 604, 655, 662, 666 Enrichment masters for Lessons 5-2, 5-3, 5-4, 5-5, 5-6, 5-7, 6-1, 6-2, 6-3, 6-4, 6-5, 6-6, 6-7, 9-7, 11-1, 11-2, 11-4, 1 5, 11-7, 12-4, 12-5, 12-6, 12-7, and Interdisciplinary Team Teaching masters for Chapter sections 5A, 5B, 6A, 6B, 7B, 7C, 12B Find the area of any triangle. SE/TE: 444-449, 450-455, 461-465, 466-471, 472, 487-491, 492-496 TE: 448, 449, 466, 491, 496 Enrichment masters for Lessons 9-1, 9-2, 9-4, 9-5, 9-8, 9-9 Find the circumference and area of a circle, given its radius or diameter. Apply principles of measurement to find areas, perimeters and volumes of 2 and 3 dimensional figures. Find the areas of irregular figures by summing the parts. SE/TE: 456-460, 461-465, 466-471, 487-491, 492-496, 497 TE: 459, 460, 465, 466, 470, 471, 487, 490, 491, 492, 496 Enrichment masters for Lessons 9-3, 9-4, 9-5, 9-8, 9-9 SE/TE: 444-449, 450-455, 4456-460, 461-465, 466-471, 472, 473, 476-480, 481-486, 487-491, 492-496, 497 TE: 448, 449, 450, 454, 455, 456, 459, 460, 461, 464, 465, 466, 470, 471, 476, 479, 480, 481, 485, 486, 487, 490, 491, 492, 495, 496 Enrichment masters for Lessons 9-1, 9-2, 9-3, 9-4, 9-5, 9-6, 9-7, 9-8, 9-9, and Interdisciplinary Team Teaching masters for Chapter sections 9A, 9B SE/TE: 444-449 Enrichment masters for Lessons 9-1 7
Translate, reflect and rotate a given geometric figure, identifying both the image and pre-image. Use the Pythagorean Theorem to find lengths of sides in right triangles. Use given information to find missing measures in similar figures and special quadrilaterals. Use principles of congruence and similarity to solve problems of measurement and proportionality. SE/TE: 594-599, 600-604, 6-5-609, 610-614, 615, 617 TE: 598, 599, 600, 605, 610, 614 Enrichment masters for Lessons 11-6, 11-7, 11-8, 11-9, and Interdisciplinary Team Teaching masters for Chapter section 11B SE/TE: 374-378, 379 TE: 320D, 378 Enrichment masters for Lessons 7-9 SE/TE: 99, 367, 368, 370, 373, 374-378, 379, 421-426, 444-449, 564-568, 569-573, 574-578, 584-589, 600-604 TE: 377, 426, 564, 588, 589, 600, 603 Enrichment masters for Lessons 7-9, 8-6, 9-1, 11-1, 11-2, 11-3, 11-5, 11-7 SE/TE: 256-261, 262, 263, 450-455, 564-568, 569-573, 574-578, 584-589, 591, 600-604, 605-609, 615 TE: 260, 261, 454, 455, 564, 567, 568, 574, 588, 589, 600, 605 Enrichment masters for Lessons 5-7, 9-2, 11-1, 11-2, 11-3, 11-7, 11-8 Interpret graphs, orally and in writing. SE/TE: 22-27, 29, 36, 37-41, 42-46, 49, 51, 182-186, 190-194, 195-199, 200, 201-205, 206-210, 211, 222-226, 233-238, 274-279, 285, 311, 341, 349, 353, 513-517, 518-522, 523-527, 528, 529 TE: 2D, 22 Enrichment masters for Lessons 1-4, 1-6, 1-7, 4-3, 4-4, 4-5, 4-6, 4-7, 5-3, 6-1, 6-2, 6-4, 10-2, 10-3, 10-4, and Interdisciplinary Team Teaching masters for Chapter sections 1A, 1B, 4A, 4B, 5A, 6A Construct and interpret stem-and-leaf plots and box plots. SE/TE: 6-10, 17-21 TE: 21 Enrichment masters for Lessons 1-1, 1-3 Construct circle graphs. SE/TE: 53, 271, 311 8
*** Use provided or collected data to construct scatter plots and draw inferences. Calculate and use measures of central tendency appropriately. Identify minimum and maximum values given a table or graphic representation of data. SE/TE: 42-46, 233-238 TE: 46 Enrichment masters for Lessons 1-7, 5-3, and Interdisciplinary Team Teaching masters for Chapter section 5A SE/TE: 11-16, 17-21 TE: 17, 20 Enrichment masters for Lessons 1-2, and Interdisciplinary Team Teaching masters for Chapter section 1A SE/TE: 6-10, 17-21 Enrichment masters for Lesson 1-1 Identify procedures for collecting data for an experiment. Calculate probabilities in a situation with equally likely outcomes. Apply geometric models to the solutions of probability problems. SE/TE: 3, 27, 47-50, 51, 626-630, 631-636, 637-642, 643 TE: 49, 50 Enrichment masters for Lessons 1-8, 12-1, 12-2, 12-3, and Interdisciplinary Team Teaching masters for Chapter sections 1B, 12A SE/TE: 646-650, 651-656, 657-662, 663-667, 668, 669 TE: 649, 650, 655, 656, 661,662, 666, 667 Enrichment masters for Lessons 12-4, 12-5, 12-6, 12-7, and Interdisciplinary Team Teaching masters for Chapter section 12B SE/TE: 651-656 Enrichment masters for Lessons 12-5 Make tables and plot linear functions. SE/TE: 172-176, 182-186, 508-512, 513-317 TE: 176, 186, 511, 512, 513, 516 Enrichment masters for Lessons 4-1, 4-3, 10-1, 10-2 Recognize number patterns resulting in linear functions. SE/TE: 508-512, 513-517 TE: 511, 512, 513, 516, 517, 522, 526, 535 Enrichment masters for Lessons 10-1, 10-2 9
Use variables symbolically in expressions and equations. Solve and check equations of the form ax + b = cx + d, ax=b, ax+b=c. Describe the concept of a variable either orally or by using manipulatives. Evaluate and/or simplify numerical and algebraic expressions. SE/TE: 119, 122-126, 127-131, 132-136, 137, 140-144, 145-149, 150-154, 159, 160, 161, 170, 172-176, 177-181, 182-186, 187, 201-205, 233-238, 242-246 TE: 122, 126, 140, 148, 153, 175, 181 Enrichment masters for Lessons 3-1, 3-2, 3-3, 3-4, 3-5, 3-6, 4-1, 4-2, 4-6, 5-4, and Interdisciplinary Team Teaching masters for Chapter sections 3A, 3B, 4A SE/TE: 140-144, 145-149, 150-154, 172-176, 177-181, 182-186, 190-194, 195-199, 201-205, 280-285, 294-299, 300-304, 305-310, 513-517 TE: 140, 143, 144, 148, 149, 153, 154, 175, 176, 177, 181, 182, 186, 194, 204, 205, 517 Enrichment masters for Lessons 3-4, 3-5, 3-6, 4-1, 4-2, 4-3, 4-4, 4-6, 6-2, 6-4, 6-5, 6-6, 10-2, and Interdisciplinary Team Teaching masters for Chapter section 4A SE/TE: 122-126, 132-136, 145-149, 150-154, 537-541, 542-547 Enrichment masters for Lessons 3-3 SE/TE: 82-86, 96-100, 127-131, 532-536, 537-541, 542-547, 548-552 TE: 86, 100, 106, 127, 131, 150, 508, 518, 523, 532, 535, 536, 540, 541, 542, 546, 547, 548, 551 Enrichment masters for Lessons 2-5, 3-2, 10-5, 10-6, 10-7, 10-8 Graph solutions of linear equations. SE/TE: 182-186, 187, 190-194, 195-199, 200, 201-205, 206-210, 211, 233-238, 513-517 TE: 193, 198, 204, 209, 237, 516 Enrichment masters for Lessons 4-3, 4-4, 4-5, 4-6, 4-7, 5-3, 10-2, and Interdisciplinary Team Teaching masters for Chapter sections 4A, 4B 10
Graph inequalities on a number line. SE/TE: 155-159, 206-210 TE: 158, 206, 209 Enrichment masters for Lessons 3-7, 4-7 Apply algebraic properties of proportions to the solution of geometric problems. Justify the steps in an algebraic problem using the field axioms. Identify and use axioms and properties for addition and multiplication. SE/TE: 450-455, 481-486, 564-568, 569-573, 574-578, 579-583, 584-589, 600-604 TE: 454, 455, 485, 486, 567, 568, 572, 574, 579, 582, 583, 588, 589, 600, 603, 604 Enrichment masters for Lessons 9-2, 9-7, 11-1, 11-2, 11-3, 11-4, 11-5, 11-7 SE/TE: 67-71, 77-81, 82-86, 127-131, 132-136, 140-144, 145-149, 150-154, 155-159, 177-181, 242-246, 548-552 Enrichment masters for Lessons 2-2, 2-4, 2-5, 3-2, 3-3, 3-4, 3-5, 3-6, 3-7, 4-2, 5-4, 10-8 SE/TE: 67-71, 72-76, 77-81, 140-144, 145-149, 150-154, 537-541, 542-547, 548-552, 664 Enrichment masters for Lessons 2-2, 2-3, 2-4, 3-4, 3-5, 3-6, 10-6, 10-7, 10-8 Recognize and use the distributive property. SE/TE: 82-86, 87, 127-131, 132-136, 426, 548-552 Enrichment masters for Lessons 2-5, 3-2, 3-3, 10-8 Use memory,, x 2, y X, keys on a scientific calculator to perform calculations. Use spreadsheets to model mathematical relationships and interpret results. Use graphing calculators and computer programs to explore scatter plots and develop the line of best fit for linear functions. SE/TE: 96-100, 364-368, 369-373 TE: B6-B7 TR: Technology Masters 6, 30, 31 SE/TE: 28, 51, 66, 84, 87, 131, 160, 201, 311, 312, 313, 340, 452, 481 TE: B6-B7 TR: Technology Master 15 SE/TE: 28, 51, 364, 513-517, 528, 529 TE: 516, B6-B7 TR: Technology Master 51 11