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2007 Pennsylvania Math Assessment Anchors and Eligible Content Grade 11 correlated to the

correlated to the - McDougal · PDF filecorrelated to the. McDougal Littell ... M11.A.1.2.1 Find the Greatest Common Factor (GCF) and/or the Least Common Multiple (LCM) for sets of

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2007 PennsylvaniaMath Assessment Anchorsand Eligible Content

Grade 11

correlated to the

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 (#21-24), 976, 982, 1021 (#29-32)

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)

PE = Pupil’s Edition 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 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

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 PE: 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)

M11.A.1.3.1 Locate/identify irrational numbers at the approximate location on a number line.

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)

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, 556-557, 572 (#3), 574 (Example 2, #7), 578 (#21-23), 579 (#50), 580, 594, 607 (#28), 608-609, 855, 857-858, 869-872, 873, 877, 879, 880 (#40), 896 (#1), 898 (#7), 901 (#28-30), 902-903

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)

PE = Pupil’s Edition 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, 123-129, 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 (#44-51), 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 (#46-53), 833 (#52-54), 888 (#50-55)

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), 330-

335, 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 (#17-30), 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)

PE = Pupil’s Edition 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 PE: 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.3.1.1 Simplify/evaluate expressions using the order of operations to solve problems (any rational numbers may be used).

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 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)

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)

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 PE: 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

M11.B.2.1.1 Measure and/or compare angles in degrees (up to 360°) (protractor must be provided or drawn).

PE: This objective is taught in McDougal Littell Geometry

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 (#54-57), 738-739, 885, 887 (#38-40), 892 (#21-23), 903 (Practice), 937 (#43), 947 (#42-47), 991, 992

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)

PE = Pupil’s Edition 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: This objective is taught in McDougal Littell Geometry

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?

PE: This objective is taught in McDougal Littell Geometry

• How does changing the length of the edge of a cube affect the volume of the cube?

PE: This objective is taught in McDougal Littell Geometry

• How does changing the length of the base of a triangle affect the area of the triangle?

PE: This objective is taught in McDougal Littell Geometry

PE = Pupil’s Edition 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 PE: 626-632, 664 (#60), 670, 676 (#5), 780, 861-862, 863 (#32-

38), 864 (#51-53), 865 (#63-65, Quiz #11)

M11.C.1.1.1 Identify and/or use the properties of a radius, diameter and/or tangent of a circle (given numbers should be whole.)

PE: 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)

PE = Pupil’s Edition 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 PE: 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 (#44-51), 924-930, 947 (#36-41), 949-954, 955-962, 963, 966, 968, 969, 970-971, 994, 995

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: 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 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)

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: 88 (#48b), 833 (#49-51), 850 (#4-6), 853 (Example 2), 866

(Example 1), 895, 898, 995 PE: 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)

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)

PE = Pupil’s Edition 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 PE: 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, 846-847, 848 (#41-43), 849 (#51), 1010 (#31-32), 1011 (#1-4)

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: 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, 21-

23), 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)

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 #1-

4), 41-47, 48-49, 58 (Quiz #1-6), 59 (#5-6), 62, 64, 65 (#13-15, 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, 9-11), 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 (#69-74), 271 (#52-57), 335 (#55-56), 344 (#61-63), 352 (#65-67), 359 (#70-75), 377 (#52-53), 427 (#91-93), 434 (#58-61), 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

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, 21-24), 148 (#3), 150 (#3-5, 9-11), 167 (#75-80), 202 (#46-48), 217 (#51-53), 232 (#20-22, 26-28), 236-243, 245-251, 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), 478-485, 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), 558-563, 564, 565-571, 572 (#1-2), 579 (#44-46), 588 (#55-60), 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)

PE = Pupil’s Edition 13

McDougal Littell Algebra 2 ©2007 correlated to the Pennsylvania Math Assessment Anchors and Eligible Content, Grade 11

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 (#58-60), 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)

PE = Pupil’s Edition 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 (#101-

106), 474 (#35-38) 548 (#10-12), 580 (#60-65), 625 (#61-64), 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 Simplify algebraic fractions. PE: 573-574, 577-580, 605, 607 (#17-24), 922 (#56-59), 1017

PE = Pupil’s Edition 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 PE: 85, 87 (#45), 88 (#46, 49), 100, 106 (#2a), 149 (#17)

M11.D.3.1.1 Identify, describe and/or use constant or varying rates of change.

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 PE: 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)

M11.D.3.2.1 Apply the formula for the slope of a line to solve problems (formula given on reference sheet).

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)

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.

M11.D.4.1.1 Match the graph of a given function to its table or equation.

Reference: 2.8.11.K, 2.8.11.Q PE: 89-96, 142, 145 (#9), 236-243, 245-251, 258 (#82-83, 86-

89), 265 (#78-81, Quiz #1-6), 307 (#78-79, 83-86), 309-315, 316, 318-319, 322, 323 (#1-3, 28-30), 335 (#57-60), 344 (#73-78), 386 (#70-72), 392 (#51-54), 474 (#13, 16-17), 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: 473 (#6), 482 (#3-5, 24), 489 (#15), 546 (#3, 11), 568 (#3-6), 919 (#3-8), 973 (#4)

PE = Pupil’s Edition 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 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), 1006-1007, 1008-1009, 1011 (#29-30), 1020 (#24-25)

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: 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

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 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)

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 (#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.3.1.1 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 Apply counting techniques in problem-solving settings. 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).

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: 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)

PE = Pupil’s Edition 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 PE: 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.4.1.1 Estimate or calculate to make predictions based on a circle, line, bar graph or given situation.

PE: 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)

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 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

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)

PE = Pupil’s Edition 21

PA 1162/2006

2007CC2