Alabama Course of Study for Algebraic Connections

correlated to the Alabama Course of Study for Algebraic Connections and the Alabama High School Graduation Exam Standards and Objectives CC2 6/2003 2002

CONTENTS Integrated Mathematics, Book 1, correlated to the Alabama Course of Study for Algebraic Connections. 1 Integrated Mathematics, Book 1 correlated to the. 12

Integrated Mathematics, Book 1 2002 correlated to the Alabama Course of Study for Algebraic Connections Algebra Students will: 1. Use algebraic and geometric techniques to make financial and economic decisions, including those involving banking and investments, insurance, personal budgets, credit purchases, recreation, and deceptive and fraudulent pricing and advertising. Examples: banking determining the best choice of certificates of deposit, savings accounts, checking accounts, or loans; credit purchases comparing the costs of fixed- or variable-rate mortgage loans, comparing the costs associated with various credit cards; personal budgets determining the best plan for long distance phone service PE/TE: 131, 133, 231 (#12), 397, 399 (#27), 431 (#19), 444, 452 (#16-17), 462 (#29-30), 467, 538 (#29), 626 (#16-17), 627 (#27-28) Teacher s Resource Package 5 (#9), 10 (#17), 12 (#17), 16 (#5), 17 (#9-11), 18 (#5), 19 (#9-11), 21 (#3), 26 (#1, 10), 28 (#2-3, 7-8), 30 (#2-3, 7-8), 36 (#3-4), 38 (#2, 8), 43 (#6), 45 (#15), 47 (#15), 48 (#10), 49 (#5-8), 81 (Section 2.8), 84 (Section 3.6, 3.7) 86 (Section 4.5, 4.6), 88 (Section 5.4), 89 (Section 6.1), 90 (Section 6.3), 94 (Section 8.1), 96 (Section 8.7), 109 (#5), 112 (#2), 116 (#4), 117 (#7) Warm-up Transparencies: 1.2, 8.1, 8.2 6 (#10), 57-58, 61, 67, 70 (#4-6), 100-101, 105-106, 138-139, 191 (#13), 199 (#6), 205-206 (#1-3), 207 (#6) 9-12, 17-21, 27-30 10, 13 16 (#28-31), 18 (#23), 19, 20 (#7), 31, 33 (#20-23), 34, 35, 36 (#34-36), 38 (#25-30), 39 (#13-19), 44 (#13-20), 45 (#19-22), 46 (#22-26), 47, 56 (#13-16), 59 (#17), 60 (#23), 62 (#21-23), 64 (#19-21), 71 (#13), 74 (#15), 78 (#19-22) See, for example: 1, 4, 5, 6, 7, 9, 12, 14, 15 (continued on next page) PE = Pupil s Edition, TE = Teacher s Edition 1

Alabama Course of Study for Algebraic Connections 39, 49, 62 13, 70-71 27-28, 32 (#31-34), 34-35 (#42-45) Folder 6 2.8, 7.5 Generating, manually or with technological tools, graphs and tables related to personal finance and economics Example: using computer software to create an amortization table for a mortgage loan or a circle graph for a personal budget PE/TE: 150-157, 158-163, 164-169, 170-175 Teacher s Resource Package 14 (#1-3), 15 (#1-4, 11), 16 (#8), 18 (#8), 21 (#5, 6), 37 (#6-8) 55-59, 64-67, 68-70, 71-74, 78 9-12, 17-21, 27-30, 35-40 11-13 23, 24, 25 32 67-71 24-26, 32 (#32-34), 34-35 (#43-45) 7-8, 8-9, 9-10, 16-17 3.6 PE = Pupil s Edition, TE = Teacher s Edition 2

Alabama Course of Study for Algebraic Connections 2. Solve problems using direct, inverse, and joint variation. PE/TE: 327, 359-366, 367-374, 375-382, 383-391, 393-399, 406, 529 TE Only: 355 (#4-5), 409 (#1), 413 (#1, 2, 5) Teacher s Resource Package 42, 43, 44-45, 46-47, 69 (#2-4), 92, 93, 114-115 Warm-up Transparencies: 1.3, 1.5, 6.2, 6.5, 6.6, 7.2, 7.6 162-164, 165-169, 172 (#9-10), 173-175, 176-178, 181 (#9-10), 182 (#7-8, 12-17), 187 (#6), 231 (#11) 27-30 53, 54 44, 46, 52, 53, 55, 56, 66 (#7) 57, 59, 60 42 (#21), 43 (#4-5), 45 (#6-7), 46 (#25) 36, 44 7.1, 7.2, 7.3, 7.4, 7.5 3. Use formulas or equations of functions to calculate outcomes of exponential growth or decay. Example: problems involving compound interest, bacterial growth, carbon-14 dating, depreciation, cooling point in chemistry Teacher s Resource Package 45 PE = Pupil s Edition, TE = Teacher s Edition 3

Alabama Course of Study for Algebraic Connections 4. Determine maximum and minimum values of a function using linear programming procedures. Example: Given the boundaries x > 0, y > 0, 2x - 3y + 15 > 0, and x < 9, find the maximum and minimum values of f(x,y) = 3x + 5y. PE/TE: 463-468 Teacher s Resource Package 48 (#9-11), 117 (#10-11) 204-206 36, 37 65 (#19) 68 39 Folder A, 9 Supplemental Functions: Graph of a Function Part 1 8.7 5. Approximate rates of change of nonlinear relationships from graphical and numerical data. Folder A PE = Pupil s Edition, TE = Teacher s Edition 4

Alabama Course of Study for Algebraic Connections Graphing information from tables, equations, or classroom-generated data to model consumer costs and to predict future outcomes PE/TE: 127-134, 232, 150-157, 158-163, 178, 211-217, 241-246 Teacher s Resource Package 17 (#9-11), 19 (#9-11), 26 (#1, 10), 28 (#1-3), 30-31 (#1-3), 48 (#9-11), 49 (#5-8), 73, 82, 83, 86 55-59, 64-67, 68-74, 95-98, 109-112 9-12, 17-21 19, 22, 23, 31, 35 27, 31 36 (#57), 40 (#55), 42 (#21), 46 (#21) 21-22 Folder 4, 6 3.2, 3.4, 3.5, 4.5, 5.1 6. Use the extreme value of a given quadratic function to solve applied problems. Example: determining the cost needed to maximize profit PE/TE: 576-582, 590, 598-600 Teacher s Resource Package 121 (#15-16) 261-263, 255-257 41-45 27-28, 36, 37 80 (#28) 33 (continued on next page) PE = Pupil s Edition, TE = Teacher s Edition 5

Alabama Course of Study for Algebraic Connections 81, 84 121-124, 125-127 41, 42, 49, 50-51 Folder A, 10 10.5, 10.8 7. Make predictions based upon tables or graphs from societal contexts. Example: making predictions about population change or employment rate PE/TE: 127-134, 232, 150-157, 158-163, 178, 211-217, 241-246, 627 (#21-22) Teacher s Resource Package 3 (#9), 5 (#9), 8 (#9), 14 (#1-3), 15 (#1-4), 16-17 (#8-11), 18-19 (#8-11), 33, 39, 72, 70, 73, 82, 83, 86 Warm-up Transparencies: 1.1, 3.1, 3.4, 4.5, 4.6, 6.4 2-3, 6 (#10), 23 (#1-4), 57 (#1-4), 58, 64-67, 68-70, 71-73 31-34 28, 29, 30, 32, 38, 49, 74 67-71 24-26, 36 (#57), 35 (#49), 39 (#45), 45 (#8) 3.2, 3.4, 3.5, 3.6, 3.7, 5.2 PE = Pupil s Edition, TE = Teacher s Edition 6

Alabama Course of Study for Algebraic Connections Geometry 8. Determine missing information in an application-based situation by using the properties of right triangles, including trigonometric ratios. Example: application construction or landscaping problem PE/TE: 343-351, 477-485, 631 (#5-7, 40-44) Teacher s Resource Package 37 (#5), 39 (#20), 41 (#20), 44 (#11), 55, 91 (Section 6.7), 114 (#1), 118 (#1) 157-159, 161, 164, 206, 209-212, 268 35-40, 22-26 52, 55 50 (#19-21), 84 (#20) 18 55, 69 6.7, 7.1, 9.1 9. Analyze the aesthetics of real-life situations using line symmetry, rotational symmetry, or the golden ratio. Example: identifying the symmetry found in nature, art, or architecture PE/TE: 44-49, 202-209, 210 (#5-9), 583-590 Teacher s Resource Package 113 (#8) 91-94, 258-260 24-26 17, 51, 53 (continued on next page) PE = Pupil s Edition, TE = Teacher s Edition 7

Alabama Course of Study for Algebraic Connections Folder 5 1.6, 1.7, 4.4, 6.3 10. Use arc length and sector area to solve applied problems. PE/TE: 375-381, 400-407, 409-411, 632 (#12-15), 633 (#37-39) TE Only: 409 (#7), 413 (#7) Teacher s Resource Package 42 (#8), 114 (#5), 115 (#10-11) 170-172, 179-181, 182, 183 27-30 57 (#16-17), 75 (#17) 21 58 46 Folder 6 7.3, 7.6 PE = Pupil s Edition, TE = Teacher s Edition 8

Alabama Course of Study for Algebraic Connections 11. Critique the appropriateness of measurements in terms of precision, accuracy, and approximate error. Example: determining whether one candidate has a significant lead over another candidate when given their current standings in a poll and the margin of error PE/TE: 321-327 Teacher s Resource Package 38 (#10-11) 147-149 23 (#17) 47 52 41 (#8), 45 (#8) 6.4 12. Use ratios of perimeters, areas, and volumes of similar figures to solve applied problems. Example: using a blueprint or scale drawing of a house to determine the amount of carpet to be purchased for the house PE/TE: 301-305, 540, 554, 530-538, 637-638 (#73-78) Teacher s Resource Package 57 (#1-3), 59 (#20-21), 61 (#20-21), 72 (#55), 119 (#6) Warm-up Transparencies: 1.3 1 37-139, 235-238, 240 35-40 44, 74 (#1-8) (continued on next page) PE = Pupil s Edition, TE = Teacher s Edition 9

Alabama Course of Study for Algebraic Connections 13 49, 76 48 (#57) Folder 6 6.1, 9.8 Data Analysis and Probability 13. Model a set of data by estimating the equation of a curve of best fit from tables of values or scatterplots. Example: predicting or analyzing election results, population change, inflation rate, employment rate, or cholesterol count PE/TE: 211-217, 627 (#21-25) TE Only: 235 (#1) Teacher s Resource Package 21 (#8), 86 (Section 4.5) Warm-up Transparencies: 3.7 95-98, 102, 107 13-16 46 31, 43 (#5) 38 36 (#57), 39, 50-51 7-8, 8-9, 9-10, 19-20, 21-22, 32 Folder A 4.5 PE = Pupil s Edition, TE = Teacher s Edition 10

Alabama Course of Study for Algebraic Connections 14. Estimate probabilities given a frequency distribution. PE/TE: 57-63, 306-313 Teacher s Resource Package 36 (#5-10), 112 (#5) 140-143 45 50 67-71, 87-91, 92-96 14-16, 35 2.1, 6.2 Making decisions on the basis of probabilities PE/TE: 57-63, 306-313 Teacher s Resource Package 36 (#5-6), 112 (#5) 140-141 75 (#17) 48 (#51) 35 2.1, 6.2 PE = Pupil s Edition, TE = Teacher s Edition 11

Integrated Mathematics, Book 1 2002 correlated to the Alabama High School Graduation Exam Standards and Objectives Standard The student will be able to perform basic operations on algebraic expressions. Objectives Apply order of operations. PE/TE: 26-30, 620, 31-36, 51-52, 196 (#22-23), 224 (#22-25), 246 (#28-31), 279 (#26-29, 381 (#26-28), 424 (#36-39), 597 (#40-42) TE Only: 53 (#2-5), 51 (#1) 1, 2 (#1-6), 3 (#3-8), 4 (#10-20), 6 (#10-20), 32 (#1-3), 73 (#1-5), 78 (Section 1.4), 102 (#4) Warm-Up Transparencies: 1.3, 1.4, 1.5, 2.1, 2.2, 2.3, 2.4, 2.7, 3.1, 4.3, 4.7, 5.1, 5.2, 5.4, 5.6, 5.7, 9.6, 9.7, 10.6, 10.8 6 (#11-13), 10 (#23, 25), 11-12, 15 (#12-14), 18 (#7-8), 23 (#5-7, 11-13), 24 (#7-10), 29 (#1-6), 30 (#7-9), 33 (#10-13), 47 (#13-16), 54 (#1-6), 79 (#9-14), 102 (#13-15), 108 (#1-8) 1-4 40, 41 4, 5, 8 (#11-13), 18 (#11-17) 1 (#4), 2 (#1), 4 (#4) 61-64 3, 5, 6, 7, 14, 15, 29 (#9-10), 31 (#5-6), 33 (#9-10), 37 (#9-10) Folder 1 Preparation for Middle School Math Grade 8: 6 (#18-35), 12 (#14-19) 1.4, 2.2, 2.6 12

Add and subtract polynomials. PE/TE: 31-36, 93-98, 623 (#30-38), 120-122 (#28-31), 163 (#24-25), 246 (#32-35), 582 (#35-37), 620 (#43-54), 628 (#1-6) TE Only: 51 (#1-3), 123 (#8) 2 (#1-6), 3, 4 (#18-19), 5-6 (#18-19), 8 (#1-4), 10 (#14-16), 12 (#14-16), 32 (#7-8), 33 (#23-26), 78 (Section 1.5), 81 (Section 2.6) Warm-Up Transparencies: 2.6, 5.3, 5.5, 5.8 10 (#23), 12 (#9-12), 13-15, 18 (#5-6), 22 (#8-9), 23 (#14-17), 24 (#11-13), 42 (#17-18), 43-44, 47 (#11-12), 53 (#17-19), 54 (#13-15), 70 (#7-8), 73 (#6-8), 87 (#11-14), 108 (#4, 5), 112 (#12-14) 1-4 1-2, 40, 41 5 (#21-28), 8, (#14-16), 14 2 (#1), 5 15, 23 56-60 29 (#1-6), 31 (#8-10), 33 (#1-4), 37 (#1-4) Folder 1 Preparation for Middle School Math Grade 8: 2, 12 (#1-19), 28 (#18-21) Functions Sourcebook: 18 1.5, 2.6 13

Multiply polynomials. PE/TE: 93-98, 122 (#30), 196 (#24-25), 246 (#32-35), 391 (#37-40), 575 (#39-42), 568-575, 576-582, 582 (#31-34), 583-588 589 (#31-34), 590 (#2-8, 11), 597 (#34-36), 607 (#9-13, 16),), 623 (#30-32), 628 (#1-6), 639 (#16-51) TE Only: 123 (#7), 609 (#1-3, 6-7) 11 (#29), 13 (#29), 63, 66 (#10-15), 68 (#10-15), 81 (Section 2.6), 100 (Section 10.5), 103 (#6), 121 (#11-12) Warm-Up Transparencies: 5.3, 5.5 43-44, 47 (#10), 252-254, 255-256, 257 (#10-16), 258-259, 260 (#7-12), 263 (#7-9), 267 (#9-17) 1-4 29-31, 40, 41 14, 79, 80 (#1-12), 81 (#1-21), 84 (#17-19) 32 (#1) 23, 80, 81, 82 114-117 29 (#11-12), 33 (#11-12), 37 (#11-12) 28 Folder 1 Preparation for Middle School Math Grade 8: 12 (#11) Functions Sourcebook: 18 2.6, 10.4, 10.5, 10.6 14

Factor polynomials. PE/TE: 576-582, 589 (#35-36), 590 (#9-10), 591-597, 605 (#27-29), 607 (#14-15), 608 (#18-20), 638-639 (#34-39, 52-61) TE Only: 607 (#1-3), 609 (#4-5) 64, 66 (#16-19), 68 (#16-19), 72 (#46, 51-54), 100-101 (Section 10.5, 10.7), 121 (#13, 14) 260 (#7-12), 261-263, 266 (#7-10), 267 (#12-14, 18-21) 41-45 32-34, 40, 41 80 (#13-24), 81 (#22-36), 82, 84 (#17-19) 32 (#4-5), 33 83 118-120, 121-124 48 (#44-46) 41, 42 Folder 1 10.5, 10.7 15

Standard The student will be able to solve equations and inequalities. Objectives Solve multi-step equations of first degree. PE/TE: 99-104, 105-110, 120-122 (#32-36), 134 (#28-30), 138, 141 (#18-20), 201, 233, 241-246, 247-254, 255-260, 268, 269, 270-274, 275-279, 280-288, 295-296, 313, 342, 366, 407, 424, 437, 491, 561, 597, 623 (#39-56), 628, 636 (#31) TE Only: 120-121, 296, 297 (#3-4) 9 (#1-8), 10-11 (#19-23, 30), 12-13 (#19-23, 30), 26, 27, 28-29, 30-31, 35 (#45-55), 43 (#6-8), 51 (#6-11), 58 (#5-9), 73 (#14-16), 74 (#29), 75 (#32-35), 81 (Section 2.7, 2.8), 87, 88, 89, 104-105 (#4-7), 110-111 Warm-Up Transparencies: 2.5, 5.3, 5.5, 5.8, 6.1, 6.3, 6.7, 8.3 45-47, 48-49, 52 (#18-20), 54 (#16-18, 20-24), 59 (#12-14), 79 (#1-3), 108 (#9-11), 109-112, 113-115, 116-118, 121 (#10-15), 122-123, 124-126, 127-132, 135-136, 143 (#17-19), 156, (#10-13), 164 (#11-13), 175 (#12-14), 181 (#12-14), 194 (#14-16), 248 (#15-17), 254 (#16-19) 5-8, 17-21 6-8, 9-10, 11-13, 14-15, 36, 40 15, 16, 35, 36, 37, 38, 39, 40, 43 (#6-11), 51 (#6-11), 58 (#7-9) 6, 7, 14, 15, 16 24, 25, 41, 42, 43, 45, 46, 47 72-76, 77-82 8, 9-10, 17-18, 19, 30 (#33-35), 32 (#24-26), 34 (#33-37), 38 (#32-35) 29, 34 (continued on next page) 16

Folder 3 Preparation for Middle School Math Grade 8: 2 (#29-32), 12 (#20-25, 29-34), 28 (#22-30) Functions Sourcebook: 6, 15, 19 2.7, 3.2, Chapter 5 Solve quadratic equations that are factorable. PE/TE: 499, 561, 597, 598-605, 635 (#21-26), 637 (#32-36), 639 (#68, 69, 71, 73, 75, 77) TE Only: 542 (#5-6), 607 (#5-7) 64 (#11), 65-66 (#22), 67-68 (#22), 71-72 (#38-40, 54), 76 (#61-63), 101 (Section 10.8), 121 (#15-16) 263 (#10-12), 264-266, 267 (#15-17), 268 (#22-24) 41-45 36, 37 83 (#14-22) 33, 34 83, 84 118-120, 121-124, 125-127, 128-132 48 (#44-46) 41, 42, 49, 50-51 Folder A Functions Sourcebook: 8 9.2, 10.8 17

Solve systems of two linear equations. PE/TE: 289-294, 305, 446, 462, 484, 629 (#65-72), 634 (#45-50) TE Only: 296 (#6), 473 (#9-11) 27, 28-29, 30-31, 35 (#53-55), 71 (#28, 29), 75 (#34, 35), 89 (Section 5.8) 133-134, 135 (#15-16), 136 (#20-22), 139 (#8-10), 183 (#1-2), 197 (#11-13), 240 (#8-9), 268 (#14-16) 17-21, 31-34 36, 37 42, 63, 65 15, 16 48 101-103, 104-107 40 (#64-65), 44 (#27), 47 (#35) 39 Folder A, 3 5.8 18

Solve multi-step inequalities of first degree. PE/TE: 261-269, 274, 293, 454, 468, 484, 628 (#26-34) TE Only: 297 (#6-7) 26 (#8-9), 28-29 (#12, 13), 30-31 (#12, 13), 33 (#32-33), 35 (#49-50), 50, 51-52, 53-54, 75 (#30-31), 88 (Section 5-4), 95 (Section 8-6), 110 (#1, 3) 119-121, 123 (#6-8), 134 (#7-9), 135 (#7-8), 136 (#17-19), 183 (#4-5), 200 (#13-15) 17-21, 31-34 38, 43 (#9-11), 64 14 44 83-86 32 (#38-40), 35 (#50-52), 39 (#46-47), 40 (#59-60), 44 (#28-29), 47 (#36-37) 23-24, 25-26 5.4 19

Standard The student will be able to apply concepts related to functions. Objectives Identify functions. PE/TE: 218-224, 225-233, 236 (#15-17), 246, 235, 432, 555-561, 627 (#18-20), 638 (#4-7) TE Only: 608 (#3-5) 21, 23 (#15), 25 (#15), 86, 109 (#5-7) 99-102, 103-105, 106 (#12), 108 (#15-16), 183 (#9-10) 13-16 32 (#1-6), 66 (#4-6), 77 (#1-3) 12, 13 39, 40 36, 40 Functions Sourcebook: 2, 3, 5, 7, 24, 26 4.6, 4.7, 10.2 Find the range of functions when given the domain. PE/TE: 670-671 33 Functions Sourcebook: 8 20

Standard The student will be able to apply formulas. Objectives Find the perimeter, circumference, area, or volume of geometric figures. PE/TE: 8, 12-14, 20-21, 24 (#21-26), 43 (#30-31), 44-49, 79-82, 83 (#14), 84 (#23), 93-98, 169, 190-196, 268, 280-288, 293, 327, 374, 375-382, 391, 400-408, 424, 484, 506, 507-514, 515-522, 523-529, 530-538, 540-541, 625 (#1-4), 627 (#26), 629 (#56-61), 630 (#25), 632 (#8-11), 633 (# 33-36), 636-637 (#53-75), 658-659 TE Only: 237 (#3), 296 (#3-5), 409 (#6), 413 (#6), 540 (#1-3), 543 (#4-8) 8 (#11), 11 (#29), 13 (#29), 27 (#5, 6), 29 (#19-20), 31 (#19-20), 42 (#5-8), 43, (#7-9), 44 (#5-6), 45 (#16-19), 46 (#5-6), 47 (#16-19), 56, 57, 59, 61, 71 (#24-25), 72 (#43-44), 75 (#45), 76 (#56), 89 (Section 5.7), 92 (Section 7.3), 93 (Section 7.6), 98 (Section 9.6, 9.7), 119 (#5) Warm-Up Transparencies: 1.2, 1.4, 1.6, 1.7, 2.8, 2.9, 4.1, 4.2, 5.7, 9.5, 9.8, 10.5 3 (#3-5), 8-9, 15 (#18-19), 18 (#9-10), 19-22, 24 (#16-17), 34-36, 37 (#6), 43-44, 53 (#13), 73 (#6), 84-87, 107 (#7) 114 (#11-12), 121 (#16-18), 127-132, 134 (#6), 135 (#13-15), 169 (#16-18), 170-172, 175 (#10-11), 179-181, 182 (#6, 9, 11), 183 (#18, 20), 187 (#5), 197 (#9-10), 207 (#7, 8), 222 (#6-8), 223-226, 227 (#11), 228-230, 231 (#9-10, 12), 232-233, 234 (#5-6), 235-237, 238 (#4-8), 239-240 (#11-17), 244 (#9-10), 268 (#17-21) 17-21, 27-30, 35-40 21-22, 23 29-31, 42, 55 2 (#15-17), 3 (#25-27), 12 (#12, 14, 15), 14, 18 (#21-22), 28, 41, 43 (#2-4), 66 (#1-3), 54, 57, 71, 72, 73, 74, 75 (#11-13) 5 (#3-4), 20 (#4, 5), 21 (#4), 28, 29, 30, 32 (#2-3) 1, 47, 58, 61, 73, 74, 75, 76 21, 22, 40 (#63), 42 (#18-20), 43 (#12-14), 46 (#18-20), 48 (#52-57) Folder 1, 6 Preparation for Middle School Math Grade 8: 3 (#41-44), 4 (#49-52), 16 (#7-9, 13-17), 20 (#10-12), 28 (#31-33) 1.2, 1.3, 2.4, 2.6, 4.2, 5.7, 7.3, 7.6, 9.5, 9.6, 9.7, 9.8 21

Find the distance, midpoint, or slope of line segments when given two points. PE/TE: 361, 363 (#7-9), 364 (#10-11), 424, 432, 433-438 TE Only: 413 (#4), 472 (#7-8) 42 (#9), 48 (#4-6), 49 (#2), 51 (#1, 9, 12), 53 (#1, 9, 12), 94 (Section 8.3) Warm-Up Transparencies: 6.6, 7.4 162-164, 192-194, 197 (#9-10) 27-30 36, 37 61, 62 23 56, 64 97-100, 101-103 44 (#20, 24-25), 47 (#28, 32, 33) 36 Folders 5, 8 Preparation for Middle School Math Grade 8: 20 (#5-7), 28 (#39-40) Functions Sourcebook: 12, 13, 15 7.1, 8.3 22

Standard The student will be able to apply graphing techniques. Objectives Graph or identify graphs of linear equations. PE/TE: 225-233, 374 (#26-27), 399 (#28-29), 417-424, 425-432, 433-438, 439-446, 447-454, 484, 554, 632 (#16-26), 633 (#1-22), 634 (#27-34) TE Only: 472 (#1-4, 9-10), 473 (#1-3) 21 (#5), 23 (#16), 25 (#16), 48, 49, 51-52, 53-54, 71 (#27, 30-32), 74 (#28), 76 (#50-52), 94, 95, 116-117 103-106, 108 (#17), 169 (#13-14), 183 (#10), 184-187, 188-190, 191 (#13), 192-194, 195-197, 198-200, 203 (#7-9), 207-208, 212 (#8), 231 (#13), 244 (#11-14), 266 (#11-13) 31-34 18-20, 36, 37, 47 33, 59, 60, 61, 62, 63, 75 (#1-7), 84 (#1-3) 23, 24 62, 63, 64, 65, 66 97-100, 101-103, 104-107 42 (#23-24), 44 (#16, 20-33), 46 (#23-24), 47 (#28-31) 31, 36, 37, 38, 39 Folder A, 8 Preparation for Middle School Math Grade 8: 4 (#60-61), 20 (#13-16), 28 (#41) Functions Sourcebook: 6, 10, 11, 15 4.7, 8.1, 8.2, 8.3, 8.4, 8.5 23

Identify graphs of common relations. PE/TE: 218-224, 225-234, 246, 374, 567, 575, 582, 638 (#4-7) TE Only: 235 (#4-5) 21, 70 (#19, 20), 86 Warm-Up Transparencies: 10.3 99-102, 103-106 36, 37, 47 32, 33 12, 13, 33 (#2-5), 34 39, 40 40 (#54), 42 (#22), 43 (#15) 21-22, 19-20, 31 Folder A 4.5, 4.6, 4.7 24

Graph lines given certain conditions. PE/TE: 381 (#23-24), 417-424, 425-432, 433-438, 439-446, 477-454 48, 49, 51-52, 53-54, 71 (#27, 30-32), 74 (#28), 76 (#50-52), 94, 95, 116-117 184-187, 188-191, 192-194, 195-197, 198-200, 203 (#7-9), 207-208, 212 (#8), 244 (#11-14) 31-34 18-20, 36, 37 59, 60, 61, 62, 63, 75 (#1-7), 84 (#1-3) 23, 24 62, 63, 64, 65, 66 97-100, 101-103, 104-107 42 (#23-24), 44 (#16), 46 (#23-24) 31, 32, 37, 38 Folder A, 8 Preparation for Middle School Math Grade 8: 4 (#60-61), 20 (#13-16), 28 (#41) 8.1, 8.2, 8.3, 8.4, 8.5 25

Determine solution sets of inequalities. PE/TE: 143-149, 157, 217, 260, 261-268, 454, 455-462, 463-468, 484, 634-635 (#51-68) TE Only: 179, 470 14 (#4, 5, 6), 18 (#5, 6), 20 (#5, 6), 26 (#8, 9), 29 (#12, 13), 31 (#12, 13), 50. 52 (#19-23), 54 (#19-23), 71 (#33-34), 76 (#53), 83 (Section 3.3), 88 (Section 5.4), 95-96 (Section 8.6, 8.7), 106 (#2), 111 (#5), 117 (#9-11) Warm-Up Transparencies: 3.4, 8.7 62-63, 119-121, 123 (#6-8), 134 (#7-9), 135 (#7-8), 183 (#4-5), 200 (#13-15), 201-203, 204-206, 208 (#15-19), 212 (#9) 17-21, 31-34 36, 37 21, 26 (#14-16), 43 (#9-11), 38, 64, 65 8, 14, 25, 26 29, 44, 67, 68 83-86 44 (#28-29), 47 (#36-37) Folder A, 9 3.3, 5.4, 8.6, 8.7 26

Standard The student will be able to represent problem situations. Objectives Translate verbal or symbolic information into algebraic expressions or identify equations or inequalities that represent graphs or problem situations. PE/TE: 254 (#32), 366 (#26), 438 (#6), 627 (#27-28) TE Only: 235 (#3), 297 (#15), 472 (#5-6), 473 (#6) 10, 11, 12, 13, 21, 26, 27-29 23 (#1-4), 52 (#4), 161 (#121), 54 (#23-24), 63 (#11), 115 (#8), 135 (#1-2), 164 (#14), 191 (#13) 5-8, 17-21 18-20 2, 5, 8, 14, 15, 16, 17, 18, 19, 35, 36, 37, 38, 39 2 (#22-24), 4 (#28), 5 (#29-30), 8 (#1-2), 10 (#49), 11 (#33-36), 14 (#24-26), 15 (#25-28), 16 (#28-31), 17 (#29-31), 18 (#21-24), 21 (#18-24), 26 (#17-19), 33 (#20-23), 35 (#7-10), 36 (#34-36), 37 (#25-29), 38 (#25-30), 39 (#13-19), 40 (#16-22), 42 (#16-20), 43 (#12-13), 46 (#22-26), 50 (#19-21), 51 (#12-13), 56 (#7-16), 58 (#5-6), 59 (#16-19), 60 (#21-23), 62 (#21-23), 63 (#13), 64 (#19-21), 65 (#19), 68 (#45-48), 71 (#13-16), 72 (#10), 73 (#10-15), 74 (#15-16), 75 (#14-18), 79 (#34-35), 80 (#25-28), 82 (#34-35), 83 (#23) 23, 41 61-64 29 (#1), 31 (#1-2), 33 (#1, 5-6), 37 (#1, 5-6), 40 (#55) Folder 3, 6, 10 Preparation for Middle School Math Grade 8: 2 (#21-24), 12 (#1-7) 1.2, 1.3, 1.4, 2.2, 2.6, 4.7, 5.1, 5.3, 5.4, 8.1, 8.2, 8.3, 8.4, 8.5 27

Standard The student will be able to solve problems involving a variety of algebraic and geometric concepts. Objectives Apply properties of angles and relationships between angles. PE/TE: 85-92, 366, 374, 382, 399, 468, 631 (#5-7, 40-44), 657 TE Only: 296 (#6), 352 (#6-8), 413 (#3) 8, 10-11, 12-13, 33 (#29), 73 (#12-13), 80 (Section 2.5) Warm-Up Transparencies: 2.8, 4.1, 4.4, 6.7, 7.3, 7.6 38-42, 53 (#14-16), 54 (#22-25), 79 (#7-8), 178 (#15-17), 183 (#3) 5-8 13, 18 (#18-20) 5 (#2) 22 77-82 30 (#26-29, 36-37), 41-42 (#12-15), 31 (#17-20), 34 (#26-29, 36-37), 38 (#26-28, 35) Folder 2 Preparation for Middle School Math Grade 8: 3 (#39-40) 28

Apply Pythagorean Theorem. PE/TE: 477-485, 491, 499, 635 (#1-8), 636 (#37-42) TE Only: 542 (#1-2) 55, 58-59, 60-61, 72 (#42), 96 (Section 9-1), 118 (#1) 209-212, 215 (#9-12), 239 (#1-2) 35-40 55 67 69 47 (#38-40) 9.1 Apply properties of similar polygons. PE/TE: 327, 328-336, 342, 530-539, 630 (#26-32) TE Only: 352 (#2-4), 540 (#4-7) 37, 38-39, 40-41, 69 (#5-8), 91 (Section 6-5) Warm-Up Transparencies: 6.7, 7.1 136 (#4-5), 149 (#10), 147-153, 156 (#9), 160 (#14-16), 234 (#7-9) 22-26 43, 51 48 53 (continued on next page) 29

31 (#7), 33 (#15-16), 37 (#15-16), 41 (#9-16), 43 (#7-8), 45 (#9-10) 30 6.5 Apply properties of plane and solid geometric figures. PE/TE: 44-49, 507-514, 515-522, 523-529, 530-538, 540-541, 542-543 56, 58-59, 60-61, 72 (#43-44), 76 (#56-57), 97, 98, 119 (#4-5) 223-227, 228-231, 231 (#9-10, 12), 232-234, 234 (#5-6), 235-238, 238 (#4-8), 239-240 (#11-17), 244 (#9-10), 268 (#20-21) 35-40 21-22, 23 71, 72, 72, 73, 74 20, 21 73, 74, 75, 76 22, 48 (#52-56) Preparation for Middle School Math Grade 8: 3 (#45-48), 4 (#52), 16 (#10-12), 28 (#34) 9.5, 9.6, 9.7, 9.8 30

Determine measures of central tendency. PE/TE: 135-142, 148, 157, 158-163, 169, 224, 274, 336, 624 (#1-4) TE Only: 178 (#1-4), 179 (#1-3), 235 (#1) 14, 15, 16-17, 18-19, 33 (#19, 31), 34 (#34), 73 (#17-22), 82, 106 (#3) Warm-Up Transparencies: 1.4, 3.2, 3.3, 3.5, 3.6, 3.7 60-61, 63 (#9), 67 (#10), 68-70, 73 (#5), 78 (#4-6, 12-13), 79 (#18-19), 108 (#12-14), 123 (#9), 136 (#1-3), 153 (#13), 172 (#11) 9-12 20, 23, 26 (#12, 13), 34 (#8-9) 28, 30, 31 32 (#31-37), 34-35 (#42-49), 38-39 (#40-45) 30 Folder 4 3.2, 3.5 Determine probabilities. PE/TE: 57-63, 134, 305, 306-313, 319, 336, 350, 462, 498, 500-506, 514, 522, 629-630 (#1-8), 636 (#43-52) TE Only: 352 (#1), 355 (#2-3), 543 (#1-3) 36, 38-39, 40-41, 56, 58-59, 60-61, 90, 97, 112 (#5), 119 (#3) Warm-Up Transparencies: 6.2 25-27, 140-142, 146 (#9-11), 159 (#17), 160 (#4-8), 203 (#10-11), 219 (#15-17), 268 (#7-9), 220-222, 227 (#8-10), 239 (#9-10) 22-26, 35-40 (continued on next page) 31

48, 49, 56 45, 58 (#10-15), 70 50, 72 67-71, 87-91, 92-96 41 (#3-5), 43 (#1-3), 45 (#3-5), 48 (#51) 14-16, 35 Folder 7 2.1, 6.2, 9.4 Solve problems involving direct variation. PE/TE: 327, 359-366, 367-374, 375-382, 383-391, 393-399, 406, 529, 630 (#9-20) TE Only: 355 (#4-5), 409 (#1), 413 (#1, 2, 5) 42, 43, 44-45, 46-47, 69 (#2-4), 71, 92, 93, 114-115 Warm-Up Transparencies: 1.3, 1.5, 6.5, 6.6, 7.2, 7.6 162-164, 165-169, 172 (#9-10), 173-175, 176-178, 181 (#9-10), 182 (#7-8, 12-17), 187 (#6), 231 (#11) 27-30 53, 54 44, 46, 52, 53, 55, 56, 66 (#7) 57, 59, 60 42 (#21), 43 (#4-5), 45 (#6-7), 46 (#25) 36 (continued on next page) 32

Preparation for Middle School Math Grade 8: 2 (#33-36), 12 (#26-34) 6.3, 7.1, 7.2, 7.3, 7.4, 7.5 Solve problems involving algebraic concepts. PE/TE: 71-78, 93-98, 99-104, 105-110, 120, 135-142, 143-149, 183-189, 218-224, 225-233, 235-236, 261-269, 280-288, 289-293, 295-296, 301-305, 306-313, 314-320, 321-327, 328-336, 343-350, 356-366, 367-374, 375-382, 383-391, 392-399, 400-407, 425-432, 433-438, 439-446, 447-454, 455-462, 463-468, 477-485, 500-506, 515-522, 523-529, 530-538, 540-541, 576-587, 591-597, 598-605 10, 11, 12, 13, 21, 26, 27-29 Warm-Up Transparencies: 6.2, 8.1, 8.2 23 (#1-4), 52 (#4), 161 (#121), 54 (#23-24), 63 (#11), 115 (#8), 135 (#1-2), 164 (#14), 191 (#13) Entire Text 9-10, 11-13, 22, 23, 53 14, 15, 16, 17, 18, 19, 35, 36, 37, 38, 39 See, for example: 36 (#57), 38 (#35, 40-41), 40 (#55), 41 (#8), 42 (#21), 43 (#6), 45 (#8) Folder 6 33