correlated to the 2007 Pennsylvania Math Assessment Anchors and Eligible Content Grade 11 McDougal Littell Algebra 2 ©2007 correlated to the Pennsylvania Math Assessment Anchors and Eligible Content Grade 11 M11.A Numbers and Operations Math, Grade 11 ASSESSMENT ANCHOR M11.A.1 Demonstrate an understanding of numbers, ways of representing numbers, relationships among numbers and number systems. ELIGIBLE CONTENT M11.A.1.1 Represent and/or use numbers in equivalent forms (e.g., integers, fractions, decimals, percents, square roots, exponents and scientific notation). Reference: 2.1.8.A, 2.1.8.B, 2.1.11.A PE: 2 (Example 1), 331-332, 333 (#24-35), 369 (#1), 606 (#36a), 699 (Example 2), 700-701 (Examples 4-5), 703 (#40), 707-709, 718 (Example 2), 719-720, 736, 738-739, 822 (Example 5), 823 (#24-33), 842 (#28-31), 843 (#2124), 976, 982, 1021 (#29-32) PE = Pupil’s Edition M11.A.1.1.1 Find the square root of an integer to the nearest tenth using either a calculator or estimation. PE: 2 (Example 1) M11.A.1.1.2 Express numbers and/or simplify expressions using scientific notation (including numbers less than 1). PE: 331, 333-334, 369 (#1), 407 (#27), 410 (#10), 982, 1014 (#1-3) 1 McDougal Littell Algebra 2 ©2007 correlated to the Pennsylvania Math Assessment Anchors and Eligible Content, Grade 11 M11.A.1.1.3 Simplify square roots. (e.g., √24 = 2√6) PE: 266, 267, 268 (#9-16), 269-270 (#3-21), 285 (Example 3), 424 (#15, 20, 24), 425 (#50, 52, 58, 64), 427 (#13), 469 (#11, 16), 595 (#45-52), 865 (#55-62), 1013 (#29-32) M11.A.1.2.1 Find the Greatest Common Factor (GCF) and/or the Least Common Multiple (LCM) for sets of monomials. PE: 580 (#54-59), 978-979 M11.A.1.3 Estimate the value of an irrational number. Reference: 2.2.8.C M11.A.1.3.1 Locate/identify irrational numbers at the approximate location on a number line. PE: PE: 2 (Example 1), 3 (Guided Practice #1), 6 (#5-8), 16 (Quiz # 2-3), 40 (#37-38), 65 (#1-2), 742 (#3-4), 817 (#64-65) M11.A.1.3.2 Compare and/or order any real numbers (rational and irrational may be mixed). PE: 2-3, 6 (#3-10), 8, 9 (#61b), 16 (Quiz #1-3), 33 (#3, 7c), 40 (#36-38), 65 (#1-2), 68 (#5a), 243 (#60c), 271 (#40), 458 (#59), 472 (#4), 572 (#6c), 580 (#52c), 619 (#56b), 714, 740 (#2c), 742 (#3-4) M11.A.1.2 Apply number theory concepts to show relationships between real numbers in problem solving settings. Reference: 2.1.8.E PE: 580 (#54-59), 978-979 2 (Example 1), 3 (Guided Practice #1-2), 6 (#5-8), 16 (Quiz #2-3), 40 (#37-38), 65 (#1-2), 742 (#3-4), 817 (#64-65) PE = Pupil’s Edition 2 McDougal Littell Algebra 2 ©2007 correlated to the Pennsylvania Math Assessment Anchors and Eligible Content, Grade 11 ASSESSMENT ANCHOR M11.A.2 Understand the meanings of operations, use operations and understand how they relate to each other. ELIGIBLE CONTENT M11.A.2.1 Apply ratio and/or proportion in problem-solving situations. Reference: 2.2.11.A, 2.8.11.P PE: 108, 109 (Guided Practice #6), 110-111, 139 (#5), 143 (#22), 145 (#26), 358 (#59), 472 (#1), 550, 552-553, 556557, 572 (#3), 574 (Example 2, #7), 578 (#21-23), 579 (#50), 580, 594, 607 (#28), 608-609, 855, 857-858, 869872, 873, 877, 879, 880 (#40), 896 (#1), 898 (#7), 901 (#28-30), 902-903 PE = Pupil’s Edition M11.A.2.1.1 Solve problems using operations with rational numbers including rates and percents (single and multi-step and multiple procedure operations) (e.g., distance, work and mixture problems, etc.). PE: 85, 88 (#46, 49), 587 (#41), 588 (#43), 594, 597 (#7), 977 M11.A.2.1.2 Solve problems using direct and inverse proportions. PE: 107-111, 139 (#5), 143, 145 (#14-17, 26), 550, 551-557, 572 (#3, 5), 607 (#1-6, 28), 1011 (#25-28), 1017 (#1-8) M11.A.2.1.3 Identify and/or use proportional relationships in problem solving settings. PE: 108, 109 (Guided Practice #6), 110-111, 139 (#5), 143 (#22), 145 (#26), 358, 550, 552-553, 556-557, 572 (#3), 607 (#28) 3 McDougal Littell Algebra 2 ©2007 correlated to the Pennsylvania Math Assessment Anchors and Eligible Content, Grade 11 M11.A.2.2 Use exponents, roots and/or absolute value to solve problems. Reference: 2.1.11.A PE: 10 (Example 1), 13 (#4-15), 50, 51-58, 64, 65 (#22-27), 68 (#3), 78 (#40), 88 (#62-67), 111 (#46-51), 121-122, 123129, 138 (Quiz #1-3), 139 (#2, 7), 144, 145 (#20), 158 (#44-46), 167 (#67-69), 202 (#49-51), 232 (#7-9, 13-15), 243 (#68-73), 251 (#61-64), 258 (#79-81, 84-85), 271 (#4451), 279 (Example 7), 327 (#14), 330-335, 392 (#55-62), 402, 407 (#1-4), 414-419, 420-427, 445 (#52-54), 446-451, 452-459, 466-468, 469, 472-473, 474 (#8, 31-34), 475 (#60), 476, 478-485, 486-491, 492-498, 505 (#64-79), 513 (#78-91), 515-522, 529-530, 533-536, 539-540, 542, 543, 544-545, 546-547, 563 (#55-57), 571 (#46-53), 664 (#4653), 833 (#52-54), 888 (#50-55) PE = Pupil’s Edition M11.A.2.2.1 Simplify/evaluate expressions involving positive and negative exponents, roots and/or absolute value (may contain all types of real numbers - exponents should not exceed power of 10). PE: 10 (Example 1), 13 (#4-15), 69 (#15), 271 (#44-51), 330335, 392 (#55-62), 402, 407 (#1-4), 414-419, 420-427, 459 (#63-68, 75-80), 466-467, 469 (#1-16), 474 (#31-34), 485 (#45-52), 492 (Example 1-2), 495 (#3-14), 496 (#1730), 498 (Quiz #4-7), 505 (#64-79), 513 (#84-87), 563 (#55-57), 571 (#46-53), 664 (#46-53), 833 (#52-54) M11.A.2.2.2 Simplify/evaluate expressions involving multiplying with exponents (e.g. x6 ∗ x7 = x13), powers of powers (e.g., (x6)7=x42) and powers of products (2x2)3=8x6 (positive exponents only). PE: 330-335, 352 (#2), 402, 407 (#4), 411 (#11), 420-427, 465, 467, 469 (#9-16), 474 (#31, 34), 1015 (#13-17, 19) 4 McDougal Littell Algebra 2 ©2007 correlated to the Pennsylvania Math Assessment Anchors and Eligible Content, Grade 11 ASSESSMENT ANCHOR M11.A.3 Compute accurately and fluently and make reasonable estimates. ELIGIBLE CONTENT M11.A.3.1 Apply the order of operations in computation and in problem-solving situations. Reference: 2.2.8.A M11.A.3.1.1 Simplify/evaluate expressions using the order of operations to solve problems (any rational numbers may be used). PE: PE: 10-11, 14 (#16-23, 37-42), 15-16, 69 (#13), 70 (#3-6), 96 (#70-75), 173 (#41-44), 291 (#69-74), 315 (#53-58), 419 (#67-68), 730 (#50-55), 780 (#16-21) M11.A.3.2.1 Use estimation to solve problems. PE: 96 (#9), 112, 113-120, 139 (#6), 143, 145 (#18-19, 27), 146-147, 148 (#4), 204 (Example 2), 390 (#15-20), 416, 480, 484, 485 (#41), 488 (Example 4), 490 (#31c), 491 (#33-35), 506 (#7), 543 (#29), 791 (#17d), 887 (#44) 10-11, 14 (#16-23, 37-42), 15-16, 69 (#13), 70 (#3-6), 96 (#70-75), 173 (#41-44), 188, 291 (#69-74), 315 (#53-58), 419 (#67-68), 730 (#50-55), 780 (#16-21) M11.A.3.2 Use estimation strategies in problem-solving situations. Reference: 2.2.11.B, 2.2.11.D PE: 96 (#9), 112, 113, 115-120, 139 (#6), 143, 145 (#18-19, 27), 146-147, 148 (#4), 390 (#15-20), 416, 480, 484, 485 (#41), 488 (Example 4), 490 (#31c), 491 (#33-35), 506 (#7), 543 (#29), 791 (#17d) PE = Pupil’s Edition 5 McDougal Littell Algebra 2 ©2007 correlated to the Pennsylvania Math Assessment Anchors and Eligible Content, Grade 11 M11.B Measurement Math Grade 11 ASSESSMENT ANCHOR M11.B.2 Apply appropriate techniques, tools and formulas to determine measurements. ELIGIBLE CONTENT M11.B.2.1 Use and/or compare measurements of angles. Reference: 2.3.11.A, 2.3.11.B M11.B.2.1.1 Measure and/or compare angles in degrees (up to 360°) (protractor must be provided or drawn). PE: PE: This objective is taught in McDougal Littell Geometry 853-858, 859-865, 866-872, 873, 880 (Quiz #5-8, 17), 882-888, 889-894, 896, 898-900, 901, 902-903, 904-905, 906 (#4-9), 914 (#44-51), 922 (#64-69), 947 (#36-41), 949-954, 955-962, 963, 968, 969, 1022 PE = Pupil’s Edition 6 McDougal Littell Algebra 2 ©2007 correlated to the Pennsylvania Math Assessment Anchors and Eligible Content, Grade 11 M11.B.2.2 Use and/or develop procedures to determine or describe measures of perimeter, circumference, area, surface area and/or volume. (May require conversions within the same system.) Reference: 2.3.8.A, 2.3.8.D PE: 9 (#75-80), 14 (#34-36), 31 (#18-20), 358, 408-409, 410 (#7), 427 (#89), 436, 472 (#3-4), 680 (#10-12), 697 (#5457), 738-739, 885, 887 (#38-40), 892 (#21-23), 903 (Practice), 937 (#43), 947 (#42-47), 991, 992 PE = Pupil’s Edition M11.B.2.2.1 Calculate the surface area of prisms, cylinders, cones, pyramids and/or spheres. Formulas are provided on the reference sheet. PE: 63 (#31), 451 (#40), 472, 567, 572 (#2), 574 (Example 2), 580, 993 M11.B.2.2.2 Calculate the volume of prisms, cylinders, cones, pyramids and/or spheres. Formulas are provided on the reference sheet. PE: 68 (#10), 332 (Example 5), 358, 408-409, 419 (#65), 427 (#89), 436, 472 (#3-4), 475 (#60), 567, 572 (#2), 580, 601 (#3, 7), 903 (Practice), 993 M11.B.2.2.3 Estimate area, perimeter or circumference of an irregular figure. PE: This objective is taught in McDougal Littell Geometry M11.B.2.2.4 Find the measurement of a missing length given the perimeter, circumference, area or volume. PE: 27, 31 (#18-20), 33 (#10), 65 (#31), 68 (#10), 358, 369 (#7), 373, 386 (#65), 451 (#40) 7 McDougal Littell Algebra 2 ©2007 correlated to the Pennsylvania Math Assessment Anchors and Eligible Content, Grade 11 M11.B.2.3 Describe how a change in one dimension of a figure (2 or 3 dimensional) affects other measurements of that figure. Reference: 2.3.8.E PE: M11.B.2.3.1 Describe how a change in the linear dimension of a figure affects its perimeter, circumference, area or volume. • How does changing the length of the radius of a circle affect the circumference of the circle? This objective is taught in McDougal Littell Geometry PE: This objective is taught in McDougal Littell Geometry • PE: This objective is taught in McDougal Littell Geometry • PE: PE = Pupil’s Edition How does changing the length of the edge of a cube affect the volume of the cube? How does changing the length of the base of a triangle affect the area of the triangle? This objective is taught in McDougal Littell Geometry 8 McDougal Littell Algebra 2 ©2007 correlated to the Pennsylvania Math Assessment Anchors and Eligible Content, Grade 11 M11.C Geometry Math Grade 11 ASSESSMENT ANCHOR M11.C.1 Analyze characteristics and properties of two- and three- dimensional geometric shapes and demonstrate understanding of geometric relationships. ELIGIBLE CONTENT M11.C.1.1 Identify and/or use parts of circles and segments associated with circles. Reference: 2.9.11.F M11.C.1.1.1 PE: PE: 626-632, 664 (#60), 670, 676 (#5), 780, 861-862, 863 (#3238), 864 (#51-53), 865 (#63-65, Quiz #11) PE = Pupil’s Edition Identify and/or use the properties of a radius, diameter and/or tangent of a circle (given numbers should be whole.) 626-632, 664 (#60), 670, 676 (#5), 780, 865 (#63-65) M11.C.1.1.2 Identify and/or use the properties of arcs, semicircles, inscribed angles and/or central angles. PE: 861-862, 863 (#32-38), 864 (#51-53), 865 (Quiz #11), 896 (#5) 9 McDougal Littell Algebra 2 ©2007 correlated to the Pennsylvania Math Assessment Anchors and Eligible Content, Grade 11 M11.C.1.2 Recognize and/or apply properties of angles, triangles and quadrilaterals. Reference: 2.9.8.D, 2.9.11.C M11.C.1.2.1 Identify and/or use properties of triangles (e.g., medians, altitudes, angle bisectors, side/angle relationships, Triangle Inequality Theorem). PE: PE: 59 (#6), 850 (#4-6, 10-12), 852-858, 865 (Quiz #1-6, 12), 873, 881, 882-888, 889-894, 895, 896, 898-900, 901, 902-903, 904-905 M11.C.1.2.2 Identify and/or use properties of quadrilaterals (e.g., parallel sides, diagonals, bisectors, congruent sides/angles and supplementary angles). PE: This objective is taught in McDougal Littell Geometry M11.C.1.2.3 Identify and/or use properties of isosceles and equilateral triangles PE: This objective is taught in McDougal Littell Geometry M11.C.1.3.1 Identify and/or use properties of congruent and similar polygons or solids. PE: 335 (#51, 54), 996-997 M11.C.1.4 Solve problems involving right triangles using the Pythagorean Theorem. Reference: 2.10.11.B M11.C.1.4.1 Find the measure of a side of a right triangle using the Pythagorean Theorem (Pythagorean Theorem included on the reference sheet). PE: PE: 88 (#48b), 833 (#49-51), 850 (#4-6), 853 (Example 2), 866 (Example 1), 895, 898, 995 59 (#6), 850 (#4-6, 10-12), 852-858, 865 (Quiz #1-6, 12), 866-872, 873, 875-880, 882-888, 889-894, 895, 896, 898-900, 901, 902-903, 904-905, 906 (#1-9), 914 (#4451), 924-930, 947 (#36-41), 949-954, 955-962, 963, 966, 968, 969, 970-971, 994, 995 M11.C.1.3 Use properties of congruence, correspondence and similarity in problem-solving settings involving two- and three- dimensional figures. Reference: 2.9.11.B PE: 335 (#51, 54) 88 (#48b), 833 (#49-51), 850 (#4-6), 853 (Example 2), 866 (Example 1), 895, 898, 995 PE = Pupil’s Edition 10 McDougal Littell Algebra 2 ©2007 correlated to the Pennsylvania Math Assessment Anchors and Eligible Content, Grade 11 ASSESSMENT ANCHOR M11.C.3 Locate points or describe relationships using the coordinate plane. ELIGIBLE CONTENT M11.C.3.1 Solve problems using analytic geometry. Reference: 2.9.11.G PE: 84 (Example 4), 86 (#18-23), 96 (#4-5), 99 (Example 3), 102 (#20-26), 103 (#46, 48), 106 (#4, 6, 7), 145 (#12-13), 167 (#70-71), 614-619, 625 (#69-74), 632 (Quiz #1-6), 669, 673 (#1-6), 677 (#13, 18), 678 (#34-36), 697 (#64-67), 800 (#78-86), 1018 (#1-4) PE = Pupil’s Edition M11.C.3.1.1 Calculate the distance and/or midpoint between 2 points on a number line or on a coordinate plane (formula provided on the reference sheet). PE: 614-619, 625 (#69-74), 632 (Quiz #1-6), 669, 673 (#1-6), 677 (#13, 18), 678 (#34-36), 697 (#64-67), 800 (#78-86), 1018 (#1-4) M11.C.2.1.2 Relate slope to perpendicularity and/or parallelism (limit to linear algebraic expressions; slope formula provided on the reference sheet). PE: 84 (Example 4), 86 (#18-23), 96 (#4-5), 99 (Example 3), 102 (#20-26), 103 (#46, 48), 106 (#4, 6, 7), 145 (#12-13), 167 (#70-71), 615 (Example 4), 617 (#31-36) 11 McDougal Littell Algebra 2 ©2007 correlated to the Pennsylvania Math Assessment Anchors and Eligible Content, Grade 11 M11.D Algebraic Concepts Math Grade 11 ASSESSMENT ANCHOR M11.D.1 Demonstrate an understanding of patterns, relations and functions. ELIGIBLE CONTENT M11.D.1.1 Analyze and/or use patterns or relations. Reference: 2.8.11.Q, 2.8.11.A, 2.8.11.O M11.D.1.1.1 Analyze a set of data for the existence of a pattern and represent the pattern algebraically and/or graphically. PE: PE: 35 (Example 2), 37 (#11-14), 38 (#27), 40 (Quiz #9-10), 47 (#72-73), 72-79, 96 (Quiz #9), 141, 148 (#1), 795, 798, 799 (#63), 800 (#68), 802-809, 810-817, 818, 819, 825 (#42), 826, 828-829, 831-833, 834-835, 838, 839, 841-842, 843 (#9-12, 25-28, 33), 846 (#2, 4, 6), 847 (#19-20), 848 (#41-43), 849 (#51), 1010 (#31-32), 1021 M11.D.1.1.2 Determine if a relation is a function given a set of points or a graph. PE: 73 (Example 2), 74 (Example 3), 77 (#10-13, 16-19, 2123), 78 (#42-43), 79 (#49-50), 96 (#76-77 Quiz #1-3), 106 (#3), 141, 145 (#1-3), 148 (#1), 282 (#77-80), 1011 (#1-4) M11.D.1.1.3 Identify the domain, range or inverse of a relation (may be presented as ordered pairs or a table). PE: 72-73, 76 (#3-8), 79 (#48-49), 141, 148 (#1), 233 (#44), 438-445, 446-451, 459 (Quiz #1-6), 464 (#1, 4, 6-7), 467, 468, 469, 476 (#1-9), 479 (Example 3), 482 (#15-23), 491 (#37-49), 498 (#69-74, Quiz #1-3, 8-12), 501-503, 504 (#45-53), 505, 513 (Quiz #5-7), 536 (#43-48), 539-540, 543 (#1-9, 13-15), 565 (Example 1), 604, 607 (#7-9), 639 (#64-69), 940 (#4) 8 (#59), 38 (#27), 72-79, 96 (Quiz #1-3), 120 (#36-41), 138 (#50-51), 141, 148 (#1), 350 (#57), 512 (#73), 695 (#37), 794-800, 801, 802-809, 810-817, 818, 819, 825 (#42), 826, 827-833, 834-835, 838, 839, 840-842, 843, 844-845, 846847, 848 (#41-43), 849 (#51), 1010 (#31-32), 1011 (#1-4) PE = Pupil’s Edition 12 McDougal Littell Algebra 2 ©2007 correlated to the Pennsylvania Math Assessment Anchors and Eligible Content, Grade 11 ASSESSMENT ANCHOR M11.D.2 Represent and/or analyze mathematical situations using numbers, symbols, words, tables and/or graphs. ELIGIBLE CONTENT M11.D.2.1 Write, solve and/or graph linear equations and inequalities using various methods. Reference: 2.8.8.F, 2.8.11.D, 2.8.11.H, 2.8.11.J, 2.8.11.N, 2.8.11.L, 2.8.11.K PE: 18-24, 28 (Example 3), 32 (#48-53), 40 (#45-53, Quiz #14), 41-47, 48-49, 58 (Quiz #1-6), 59 (#5-6), 62, 64, 65 (#1315, 19-21), 70 (#7-9), 79 (#55-66), 98-104, 106 (#2, 5, 8), 111 (#58-64), 120 (Quiz #1-6), 132-138, 139 (#1, 4), 142, 144, 145 (#8-13, 21-25), 148 (#3), 149 (#14), 150 (#3-5, 911), 158 (#41-43), 167 (#64-66), 173 (#45-47), 177, 193 (#45-48), 202 (#46-48, 52-57), 232 (#4-6), 234 (#11-14), 243 (#62-67), 251 (#57-60), 258 (#73-78, 82-83), 265 (#6974), 271 (#52-57), 335 (#55-56), 344 (#61-63), 352 (#6567), 359 (#70-75), 377 (#52-53), 427 (#91-93), 434 (#5861), 474 (#1-7, 13, 15), 536 (#55), 588 (#46-48), 678 (#1, 10), 730 (#56-58), 792 (#4-9), 800 (#69-77), 880 (#41), 1011 PE = Pupil’s Edition M11.D.2.1.1 Solve compound inequalities and/or graph their solution sets on a number line (may include absolute value inequalities). PE: 41 (Example 2), 43 (Example 5-6), 44 (Example 7), 45 (#16-21, 37-48), 59 (#7), 64 (#38-39), 232 (#11-15) M11.D.2.1.2 Identify or graph functions, linear equations or linear inequalities on a coordinate plane. PE: 75 (Example 4), 77 (#25-33), 78 (#47), 79 (#48), 80-81, 89-96, 97, 104 (#57), 106 (#1, 5, 8), 111 (#58-63), 120 (#42-47), 132-138, 139 (#1), 142, 144, 145 (#8-11, 2124), 148 (#3), 150 (#3-5, 9-11), 167 (#75-80), 202 (#4648), 217 (#51-53), 232 (#20-22, 26-28), 236-243, 245251, 258 (#82-83), 307 (#78-79, 83-86), 318-319, 323 (#1-3), 328 (#4-6), 335 (#55-60), 337-344, 359 (#70-75), 386 (#70-75), 387-392, 403, 406, 407 (#5-7, 23-24), 411 (#20), 412 (#10-12), 434 (#58-66), 446-451, 459, 468, 469 (#31-33), 474 (#13, 15-17, 19-21), 476 (#4-6), 478485, 486-491, 493-494, 496 (#42-50), 497-498, 502-503, 504 (#45-53), 505 (#60, 62), 513 (Quiz #5-7), 514, 536 (#43-48), 539-541, 543 (#1-9, 13-15), 557 (#43-51), 558563, 564, 565-571, 572 (#1-2), 579 (#44-46), 588 (#5560), 595 (#39-44), 604, 607 (#7-12), 612 (#4-7), 619 (#58-63), 639 (#64-69), 678 (#10-15), 679 (#42), 704 (#44-49), 771 (#33-38), 894 (#49-54), 908-914, 915-922, 937 (#50-58), 940 (#1-2, 4), 962 (#57-62), 965-966, 969 (#1-6), 1011, 1013 (#1-8), 1014 (#8-11), 1015 (#40-47), 1016 (#1-8, 13-16, 25-28), 1017 (#9-16), 1023 (#1-10) 13 McDougal Littell Algebra 2 ©2007 correlated to the Pennsylvania Math Assessment Anchors and Eligible Content, Grade 11 PE = Pupil’s Edition M11.D.2.1.3 Write, solve and/or apply a linear equation (including problem situations). PE: 18-24, 25, 32 (#48-53), 33, 40 (#45-53, Quiz #1-4), 62, 65 (#13-15), 70 (#7-9), 79 (#55-60), 98-104, 111 (#64), 115-120, 142-143, 145 (#12-13, 18-19), 149 (#14), 158 (#41-43), 167 (#64-66), 232 (#4-6), 234 (#11-14), 243 (#62-67), 251 (#57-60), 258 (#73-78), 265 (#69-74), 271 (#52-54), 344 (#61-62), 352 (#65-67), 377 (#52-53), 474 (#1-7), 588 (#46-48), 678 (#1), 792 (#4-9), 800 (#69-77), 1010 (#16-24), 1011 M11.D.2.1.4 Write and/or solve systems of equations using graphing, substitution and/or elimination (limit systems to 2 equations). PE: 153-158, 159, 160-167, 173 (#48-53), 185 (#59-61), 186 (#1-2), 202 (#58-63), 222-223, 227 (#1-4, 9-11), 228, 230 (#2), 231 (#11), 232 (#31-32), 315 (#59-64), 445 (#5860), 474 (#22-23), 475 (#54), 522 (#62-64), 612 (#11-13), 632 (#70-72), 657 (#54-59), 658-664, 667 (#6), 672, 673 (#30-32), 674-675, 679 (#43), 792 (#10-12), 809 (#88), 858 (#44-49), 1012 M11.D.2.1.5 Solve quadratic equations using factoring (integers only – not including completing the square or the Quadratic Formula). PE: 252-258, 259-265, 282 (#85-86), 319-320, 323 (#10-11), 352 (#68-72), 1013 (#17-20) 14 McDougal Littell Algebra 2 ©2007 correlated to the Pennsylvania Math Assessment Anchors and Eligible Content, Grade 11 M11.D.2.2 Simplify expressions involving polynomials. Reference: 2.8.11.S PE: 346-352, 368 (#57-60), 403, 407 (#8-13), 408, 427 (#101106), 474 (#35-38) 548 (#10-12), 580 (#60-65), 625 (#6164), 625 (#61-64), 680 (#7-9), 689 (#72-77) M11.D.2.2.1 Add, subtract and/or multiply polynomial expressions (express answers in simplest form – nothing larger than a binomial multiplied by a trinomial). PE: 346-352, 368 (#57-60), 403, 407 (#8-13), 408, 427 (#101-105), 474 (#35-37) 548 (#10-12), 580 (#60-65), 625 (#61-64), 680 (#7-9), 689 (#72-77), 1014 M11.D.2.2.2 Factor algebraic expressions, including difference of squares and trinomials (trinomials limited to the form ax2+bx+c where a is not equal to 0). PE: 252-258, 259-265, 282 (#85-86), 319-320, 323 (#4-11), 328 (#7-9), 352 (#68-72), 368 (#51-52), 377 (#55-56), 399 (#33-35), 474 (#9-10), 485 (#53-56), 548 (#7), 563 (#43-48), 571 (#37-41), 588 (#49-51), 619 (#64-67), 678 (#3-4, 16-17), 755 (#26), 880 (#42-43), 930 (#49-54), 962 (#63) M11.D.2.2.3 PE: PE = Pupil’s Edition Simplify algebraic fractions. 573-574, 577-580, 605, 607 (#17-24), 922 (#56-59), 1017 15 McDougal Littell Algebra 2 ©2007 correlated to the Pennsylvania Math Assessment Anchors and Eligible Content, Grade 11 ASSESSMENT ANCHOR M11.D.3 Analyze change in various contexts. ELIGIBLE CONTENT M11.D.3.1 Describe and/or determine change. Reference: 2.8.8.J, 2.11.8.B M11.D.3.1.1 Identify, describe and/or use constant or varying rates of change. PE: PE: 85, 87 (#45), 88 (#46, 49), 100 106 (#2a), 149 (#17) M11.D.3.1.2 Determine how a change in one variable relates to a change in a second variable (e.g., y=4/x, if x doubles, what happens to y?). PE: 550 (#1), 552 (Example 3), 556 (#37) M11.D.3.2 Compute and/or use the slope of a line. Reference: 2.8.11.J, 2.8.11.L M11.D.3.2.1 Apply the formula for the slope of a line to solve problems (formula given on reference sheet). PE: PE: 82-88, 96 (#78-83), 100, 102 (#30-38), 104 (#55), 105, 142, 145 (#4-7), 146-147, 149 (#7), 232 (#16-19), 299 (#75-80) M11.D.3.2.2 Given the graph of the line, 2 points on the line, or the slope and a point on a line, write or identify the linear equation in point-slope, standard and/or slope-intercept form. PE: 98-104, 105, 138 (#58-61), 142, 145 (#12-13), 146-147, 167 (#72-74), 202 (#52-57), 291 (#75-80), 474 (#1-6), 1011 (#19-24) M11.D.3.2.3 Compute the slope and/or y-intercept represented by a linear equation or graph. PE: 82, 87 (#35), 98-99, 102 (#20-25, 27-29) 85, 87 (#45), 88 (#46, 49), 100, 106 (#2a), 149 (#17) 82-88, 96 (#78-83), 98-104, 105, 111 (#52-57), 142, 145 (#4-7, 12-13), 149 (#7, 17), 185 (#53-58), 232 (#16-19), 299 (#75-80) PE = Pupil’s Edition 16 McDougal Littell Algebra 2 ©2007 correlated to the Pennsylvania Math Assessment Anchors and Eligible Content, Grade 11 ASSESSMENT ANCHOR M11.D.4 Describe or use models to represent quantitative relationships. ELIGIBLE CONTENT M11.D.4.1 Interpret and/or use linear, quadratic and/or exponential functions and their equations, graphs or tables. Reference: 2.8.11.K, 2.8.11.Q PE: 89-96, 142, 145 (#9), 236-243, 245-251, 258 (#82-83, 8689), 265 (#78-81, Quiz #1-6), 307 (#78-79, 83-86), 309315, 316, 318-319, 322, 323 (#1-3, 28-30), 335 (#57-60), 344 (#73-78), 386 (#70-72), 392 (#51-54), 474 (#13, 1617), 475 (#57), 476 (#10-12), 478-485, 486-491, 529-531, 533-536, 537 (#3-4), 539-540, 542, 543 (#1-9, 25), 544, 612 (#4-7), 678 (#10, 13, 22-24), 679 (#49) PE = Pupil’s Edition M11.D.4.1.1 Match the graph of a given function to its table or equation. PE: 473 (#6), 482 (#3-5, 24), 489 (#15), 546 (#3, 11), 568 (#3-6), 919 (#3-8), 973 (#4) 17 McDougal Littell Algebra 2 ©2007 correlated to the Pennsylvania Math Assessment Anchors and Eligible Content, Grade 11 M11.E Data Analysis and Probability Math Grade 11 ASSESSMENT ANCHOR M11.E.1 Formulate or answer questions that can be addressed with data and/or organize, display, interpret or analyze data. ELIGIBLE CONTENT M11.E.1.1 Appropriately display and/or use data in problem-solving settings. Reference: 2.6.11.A, 2.6.8.E M11.E.1.1.1 Create and/or use appropriate graphical representations of data, including box-and-whisker plots, stem-and-leaf plots or scatter plots. PE: PE: 113-120, 139 (#6), 143, 145 (#18-19, 27), 148 (#4), 233 (#46), 271 (#61-62), 475 (#53), 530-536, 537 (#1), 542, 543 (#29), 547 (#21), 1008-1009, 1011 (#29-30), 1020 (#24-25) M11.E.1.1.2 Analyze data and/or answer questions based on displayed data (box-and-whisker plots, stem-and-leaf plots or scatter plots. PE: 113-120, 139 (#6), 143, 145 (#18-19, 27), 148 (#4), 149 (#16), 233 (#46), 271 (#61-62), 475 (#53), 537 (#1), 543 (#29), 547 (#21), 1008-1009 113-120, 139 (#6), 143, 145 (#18-19, 27), 148 (#4), 233 (#46), 271 (#61-62), 475 (#53), 530-536, 537 (#1), 542, 543 (#29), 547 (#21), 1006-1007, 1008-1009, 1011 (#2930), 1020 (#24-25) PE = Pupil’s Edition 18 McDougal Littell Algebra 2 ©2007 correlated to the Pennsylvania Math Assessment Anchors and Eligible Content, Grade 11 ASSESSMENT ANCHOR M11.E.2 Select and/or use appropriate statistical methods to analyze data. ELIGIBLE CONTENT M11.E.2.1 Use measures of central tendency to describe a set of data. Reference: 2.6.8.A, 2.6.11.A M11.E.2.1.1 Calculate or select the appropriate measure of central tendency (mean, mode or median) of a set of data given or represented on a table, line plot or stem-and-leaf plot. PE: 744-749, 751-755, 756, 784-785, 787 (#1-3), 790 (#1, 6), 791 (#12), 809 (#82-87), 849 (#50), 1005, 1020 (#1-6) PE: 744, 749 (#30), 756, 787 (#11), 849 (#50), 1005 M11.E.2.1.2 Calculate and/or interpret the range, quartiles and interquartile range of data. PE: 745-746, 747 (#11-22), 748 (#26, 28-29), 749 (#30), 750, 751-755, 756, 784-785, 787 (#1-3, 11), 791 (#16), 849 (#50), 1005, 1020 (#1-10) M11.E.2.1.3 Describe how outliers affect measures of central tendency. PE: 746 (Example 4), 748 (#29c), 756 (#5) PE = Pupil’s Edition 19 McDougal Littell Algebra 2 ©2007 correlated to the Pennsylvania Math Assessment Anchors and Eligible Content, Grade 11 ASSESSMENT ANCHOR M11.E.3 Understand and/or apply basic concepts of probability or outcomes. ELIGIBLE CONTENT M11.E.3.1 Apply probability and/or odds to practical situations. Reference: 2.7.11.A, 2.7.11.E PE: 698-704, 707-713, 717-723, 724-730, 732, 735-736, 737, 738-739, 740-741, 742 (#5-8), 755 (#30-37) M11.E.3.2 Apply counting techniques in problem-solving settings. Reference: 2.7.8.A PE: 682-689, 690-697, 699 (Example 2), 704 (#58-61), 705, 713 (#61-64), 734-735, 737 (#1-8, 27), 740 (#1), 741 (#14), 749 (#42), 865 (#66-73), 922 (#60-63) PE = Pupil’s Edition M11.E.3.1.1 Find probabilities for independent, dependent or compound events and represent as a fraction, decimal or percent). PE: 707-713, 717-723, 730 (Quiz #1-3, 11), 732, 736, 737 (#17-18, 20-22, 29), 825 (#43-45), 848 (#28-30), 1019 M11.E.3.1.2 Find, convert and/or compare the probability and/or odds of a simple event. PE: 698-704, 705, 735, 737 (#13-16, 28) M11.E.3.2.1 Determine the number of permutations and/or combinations or apply the fundamental counting principle. (Formula provided on the reference sheet). PE: 682-689, 690-697, 697 (Quiz #1-16), 699 (Example 2), 704 (#58-61), 705, 713 (#61-64), 734-735, 737 (#1-8, 27), 740 (#1), 741 (#14), 749 (#42), 865 (#66-73), 922 (#60-63) 20 McDougal Littell Algebra 2 ©2007 correlated to the Pennsylvania Math Assessment Anchors and Eligible Content, Grade 11 ASSESSMENT ANCHOR M11.E.4 Develop and/or evaluate inferences and predictions or draw conclusions based on data or data displays. ELIGIBLE CONTENT M11.E.4.1 Make predictions using data displays and probability. Reference: 2.7.8.E, 2.6.11.D M11.E.4.1.1 Estimate or calculate to make predictions based on a circle, line, bar graph or given situation. PE: PE: 698-704, 705 (#2, 5), 706, 707-713, 717-723, 724-730, 731, 732, 737, 738-739, 740-741, 742 (#5-8), 755 (#3037) M11.E.4.1.2 Use probability to predict outcomes. PE: 698-704, 707-713, 717-723, 724-730, 731, 732, 737, 738-739, 740-741, 742 (#5-8), 755 (#30-37), 757-762, 780 (Quiz #1-3) M11.E.4.2.1 Draw, find and/or write an equation for a line of best fit for a scatter plot. PE: 113-120, 143, 145 (#18-19, 27), 146-147, 148 (#4), 186 (#7), 231 (#17), 233 (#46), 271 (#61-62), 475 (#53), 775, 1011 (#29-30) M11.E.4.2.2 Make predictions using the equations or graphs of best-fit lines of scatter plots. PE: 116-117, 118 (#10-15), 119, 120 (Quiz #15), 146-147, 148 (#4), 231 (#17), 233 (#46), 475 (#53) 698-704, 705 (#2, 5), 706, 707-713, 717-723, 724-730, 731, 732, 737, 738-739, 740-741, 742 (#5-8), 755 (#30-37), 757-762, 780 (Quiz #1-3), 825 (#43-45) M11.E.4.2 Analyze and/or interpret data on a scatter plot and/or use a scatter plot to make predictions. Reference: 2.6.11.C, 2.6.11.D PE: 113-120, 143, 145 (#18-19, 27), 146-147, 148 (#4), 217 (#57-59), 231 (#17), 233 (#46), 271 (#61-62), 475 (#53), 530-536, 537 (#1), 542 (#38), 543 (#29), 775-777 PE = Pupil’s Edition 21 PA 116 2/2006 2007 CC2
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