correlated to the
Alaska
Performance Standards
(Grade Level Expectations)
Math, Grade 10
McDougal Littell Geometry ©2007
correlated to the
Alaska Performance Standards (Grade Level Expectations)
Math, Grade10
Understanding Numbers
The student demonstrates understanding of real numbers by
[10] N-1 identifying their subsets (natural,
whole, integers, rational, irrational)
(M1.4.1)
PE/TE: Opportunities to address this
standard can be found on the following
pages: 85 (#40-45), 105-111, 139, 169
(#52-53), 387 (#46-49), 403 (#30-33),
423, 456 (#39-46), 579 (#47-50), 869
[10] N-2 simplifying expressions with
positive and negative exponents (M1.4.4 &
M3.4.4)
PE/TE: 139, 403 (#32-33), 415 (#3537), 439 (#39-42), 695 (#29-31), 870,
871, 872, 873
[10] N-3 expressing square roots in simplest
radical form (M1.4.4 & M3.4.4)
PE/TE: 139, 359, 361 (#31-36), 423
(#10-17), 439 (#39-42), 456, 695 (#2931), 874
Understanding Meaning of Operations
The student demonstrates conceptual understanding of mathematical operations
by
[10] N-4 describing or illustrating the
effects of arithmetic operations on real
numbers (M1.4.3)
PE/TE: Opportunities to address this
standard can be found on the following
pages: 105-111, 139, 169 (#52-53), 185
(#40-45), 387 (#46-49), 403 (#30-33),
423, 456 (#39-46), 579 (#47-50), 695
(#29-31), 869, 874 (#13-28), 885
[10] N-5 describing or illustrating the use of
inverse operations (cubing/cube root)
(M1.4.3 & 1.4.5)
PE/TE: Opportunities to address this
standard can be found on the following
pages: 47 (#44-45), 359, 363 (#76-78),
423 (#1-9), 565 (#11-13)
[10] N-6 describing or illustrating [counting
and adding in different bases L] (M1.4.2)
See correlation for McDougal Littell
Algebra 2.
PE/TE = Pupil’s Edition/Teacher’s Edition
1
McDougal Littell Geometry ©2007 correlated to the
Alaska Performance Standards (Grade Level Expectations): Math, Grade 10
Number Theory
The student demonstrates conceptual understanding of number theory by
[10] N-7 identifying or applying
commutative, identity, associative, inverse,
or distributive properties to real numbers
and variables (M1.4.5)
PE/TE: Found throughout the text.
See, for example: 65, 79 (#39-42), 105111, 119 (#31-36), 136, 138 (#14-16),
169 (#46-49), 178 (#47-49), 212 (#1618), 309 (#34-36), 325 (#50-52), 341
(#32-39), 363 (#76-78), 423, 872, 875,
876, 877
[10] N-8 identifying or writing the prime
factorization of a variable expression using
exponents (M1.4.4)
PE/TE: Opportunities to address this
standard can be found on the following
pages: 139 (#1-9), 713, 870, 871
Measurable Attributes
The student demonstrates understanding of measurable attributes by
[10] MEA-1 converting square and cubic
units within the same system, English or
metric, in real-world applications (M2.4.2)
PE/TE: 51, 53 (#20-26), 460, 739, 886
Measurement Techniques
The student uses measurement techniques by
[10] MEA-2 [Applying right triangle
trigonometry (sine, cosine, and tangent) to
find missing dimensions in real-world
applications L] (M2.4.4)
PE/TE: 468, 471-472, 473, 747-476,
479-480, 481-482, 484-485, 487-488,
492, 496 (#22), 498 (#16-17)
Estimation
The student solves problems (including real-world situations) using estimation by
[10] E&C-1 [explaining why one strategy is
more appropriate than another and
determining why the estimation result is
greater or less than the exact answer L]
(M3.4.1)
PE/TE: Opportunities to address this
standard can be found on the following
pages: 13 (#33), 104, 105-106, 669
(#30), 727-728
Computation
The student accurately solves problems (including real-world situations) involving
[10] E&C-2 applying basic operations with
real numbers using powers [and scientific
notation L] (M3.4.2 & M3.4.3)
PE/TE: 871
[10] E&C-3 solving problems involving
percent increase or decrease (M3.4.5)
PE/TE: 349, 885
PE/TE = Pupil’s Edition/Teacher’s Edition
2
McDougal Littell Geometry ©2007 correlated to the
Alaska Performance Standards (Grade Level Expectations): Math, Grade 10
Describing Patterns and Functions
The student demonstrates conceptual understanding of functions, patterns, or
sequences including those represented in real-world situations by
[10] F&R-1 describing or extending
patterns (families of functions: linear,
quadratic, absolute value), up to the nth
term, represented in tables, sequences,
graphs, or in problem situations (M4.4.1)
PE/TE: Found throughout the text.
See, for example: 41 (#57-60), 57, 76
(#20-21), 77 (#35), 111 (#36), 138 (#14), 180-187, 205, 363 (#66), 499, 513
(#36), 565, 835 (#39), 853 (#34), 878
(#13-20), 882-883, 884
[10] F&R-2 generalizing equations and
inequalities (linear, quadratic, absolute
value) using a table of ordered pairs or a
graph (M4.4.4)
PE/TE: Found throughout the text.
See, for example: 41 (#55, 57-60), 57,
76 (#20-21), 77 (#35), 111 (#36), 180187, 188-189, 205, 207, 239 (#34-36),
287, 363 (#66), 378 (#33), 480 (#4547), 499, 513 (#36), 565, 835 (#39),
878, 881
[10] F&R-3 describing in words how a
change in one variable or constant in an
equation affects the outcome of the equation
(M4.3.2)
PE/TE: Opportunities to address this
standard can be found on the following
pages: 41 (#55, 57-60), 57, 76 (#20-21),
77 (#35), 111 (#36), 171-178, 179, 180187, 188-189, 205, 207, 239 (#34-36),
287, 363 (#66), 378 (#33), 480 (#4547), 499, 513 (#36), 878, 881
[10] F&R-4 [using a calculator as a tool
when describing, extending, representing,
or graphing patterns, linear or quadratic
equations L] (M4.4.2)
PE/TE: Opportunities to address this
standard can be found on the following
pages: 41 (#55, 57-60), 57, 76 (#20-21),
77 (#5), 111 (#36), 363 (#66), 378
(#33), 499, 513 (#36), 565, 835 (#39),
853 (#34), 878, 882-883, 884
Modeling and Solving Equations and Inequalities
The student demonstrates algebraic thinking by
[10] F&R-5 modeling (graphically or
PE/TE: 183, 186 (#62), 187 (#65), 189,
algebraically) or solving situations using
880-881
systems of linear equations or inequalities
(including real-world applications) (M4.4.3)
[10] F&R-6 selecting and using the
quadratic formula to solve problems
(M4.4.2)
PE/TE = Pupil’s Edition/Teacher’s Edition
PE/TE: 641, 686 (#34-39), 883
3
McDougal Littell Geometry ©2007 correlated to the
Alaska Performance Standards (Grade Level Expectations): Math, Grade 10
[10] F&R-7 solving or identifying solutions
to literal equations or formulas for a
variable involving multi-steps (e.g., solve
for h when A =(1/2)h(b1+b2 )) (M4.4.2)
PE/TE: 106, (#3), 111 (#36), 736 (#4446), 877
Geometric Relationships
The student demonstrates an understanding of geometric relationships by
[10] G-1 identifying, analyzing, comparing, or using properties of plane figures:
• supplementary, complementary or vertical
angles
PE/TE: 35-41, 59, 62, 119 (#31-33),
123, 124-131, 137
• angles created by parallel lines with a
transversal
PE/TE: 149-152, 153, 154-160, 161169, 170, 178 (#1-3), 187 (#73-75), 189
(#1-10), 197 (#45-47), 201, 203-205,
206 (#1-12), 210 (#8), 211 (#12-13),
212 (#23-24), 255 (#36-38)
• sum of interior or exterior angles of a
polygon
PE/TE: 216, 217-224, 507-513, 521
(#1-3), 540 (#68-69), 559, 560-561, 564
(#1-3), 632 (#46-49), 670 (#35), 809
(#31-34), 854 (#39-42), 910 (#1-6)
• central angles, chords, inscribed angles or
arcs of a circle (M5.4.1)
PE/TE: 659-663, 664-670, 671, 672679, 680-686, 687, 688, 689-695, 705
(#1), 707, 709-711, 712, 715, 716 (#12), 717 (#11), 743 (#40), 746-752
[10] G-2 [using isometric drawings to create PE/TE: 146, 550-551, 792-793, 803two-dimensional drawings of three809, 828, 854 (#45-48)
dimensional objects (shapes that are
composites of rectangular right prisms) L]
(M5.4.2)
Transformation of Shapes
The student demonstrates conceptual understanding of similarity, congruence,
symmetry, or transformations of shapes by
[10] G-3 identifying congruent and similar
figures using Euclidean geometry (e.g.,
[constructions L], coordinate geometry)
(M5.4.3)
PE/TE = Pupil’s Edition/Teacher’s Edition
PE/TE: 113-119, 120-121, 124-131,
132 (#1-4), 137, 225-231, 232, 233,
234-239, 240-246, 247, 248, 249-255,
256-263, 280, 281, 283-285, 286, 290291, 397-403, 408, 409-415, 416, 417,
419, 420, 421-422, 424-427, 428 (#1725), 429 (#28-29), 448, 449-456, 737743, 902-903
4
McDougal Littell Geometry ©2007 correlated to the
Alaska Performance Standards (Grade Level Expectations): Math, Grade 10
[10] G-4 using transformations to show
congruence or similarity of figures on a
coordinate plane (M5.4.4)
PE/TE: 11, 91 (#14), 93 (#34-35), 271,
272-279, 280, 285, 286 (#13-15), 408,
409-415, 421, 422 (#14-15), 572-579,
581, 585 (#27-28), 587 (#38-39), 588,
589-596, 597, 598-605, 607, 608-615,
628, 534 (#3-7), 637-639, 640, 642-643,
912
Perimeter, Area, and Volume
The student solves problems (including real-world situations) by
[10] G-5 determining the volume or surface
area of spheres or compound solids
(M5.3.4)
PE/TE: 815 (#22-24), 819, 820, 823
(#4-6), 831, 833 (#20-25), 834 (#36),
838-845, 851 (#19-22), 854 (#1-3), 860,
861 (#1-2, 14, 16), 863 (#2), 865 (#12),
919 (#34-41)
Position and Direction
The student demonstrates understanding of position and direction when solving
problems (including real-world situations) by
[10] G-6 graphing a line segment on a
coordinate grid and/or identifying its length
or midpoint by using formulas (M5.4.5)
PE/TE: 15-22, 32 (#71-73), 47 (#5254), 59, 61, 64 (#9-11), 68 (#2, 7), 69
(#9, 16), 85 (#50-52), 160 (#44), 187
(#67-69), 270 (#57-60), 316 (#39-41),
415 (#38-40)
[10] G-7 graphing a system of equations on
a coordinate grid, identifying a solution, or
determining their relationship (intersecting,
parallel, perpendicular) (M5.4.5)
PE/TE: 183, 186 (#62), 187 (#65), 880881
Construction
The student demonstrates a conceptual understanding of geometric drawings or
constructions by
[10] G-8 [drawing, measuring, or
constructing geometric models of plane
figures (containing parallel and/or
perpendicular lines, angles, perpendicular
bisectors, congruent angles, regular
polygons) L] (M5.4.6)
PE/TE = Pupil’s Edition/Teacher’s Edition
PE/TE: 9, 24, 25-32, 33-34, 152 (#38,
43-44), 169 (#45), 195 (#25), 235, 258,
261 (#32), 305 (#4), 307 (#18-19), 314
(#26), 323 (#16), 401 (#19), 665, 767
(#40)
5
McDougal Littell Geometry ©2007 correlated to the
Alaska Performance Standards (Grade Level Expectations): Math, Grade 10
Data Display
The student demonstrates an ability to classify and organize data by
[10] S&P-1 [designing, collecting L],
organizing, displaying, or explaining the
classification of data in real-world problems
(e.g., science or humanities, peers,
community, or careers), using information
from tables or graphs that display two or
more set
PE/TE: 77 (#35), 111 (#36), 145, 174,
177 (#37), 178 (#41), 183, 186 (#60),
488 (#39), 760 (#39), 888-889
Analysis and Central Tendency
The student demonstrates an ability to analyze data (comparing, explaining,
interpreting, evaluating, making predictions, or describing trends; or drawing,
formulating, or justifying conclusions) by
[10] S&P-2 using information from a
display to solve a problem or analyzing the
validity of statistical conclusions (M6.4.1 &
M6.4.4)
PE/TE: Found throughout the text.
See, for example: 72-78, 83 (#16-18),
84 (#31-32), 89, 91 (#14, 18, 19), 101
(#35-38), 103 (#2), 119 (#29), 142
(#27), 152 (#40-42), 156, 178 (#41),
183, 186 (#60), 187 (#641), 195 (#21)
197 (#35-38), 200 (#1, 2, 4), 210 (#6),
224 (#5)
[10] S&P-3 using and justifying range and
measures of central tendency to determine
the best representation of the data for a
practical situation (M6.4.3)
PE/TE: Opportunities to address this
standard can be found on the following
pages: 78 (#45-46), 84 (#34), 887
[10] S&P-4 using a best fit line to describe
trends and make predictions about data
(M6.4.2)
PE/TE: Opportunities to address this
standard can be found on the following
pages: 888-889
Probability
The student demonstrates a conceptual understanding of probability and
counting techniques by
[10] S&P-5 explaining in words or
identifying the difference between
experimental and theoretical probability of
independent or dependent events (M6.4.5)
PE/TE: Opportunities to address this
standard can be found on the following
pages: 770, 771-777, 778 (#4), 783, 784
(#18-19), 789 (#10), 890, 893
[10] S&P-6 analyzing data to make
predictions about the probability of
independent or dependent events as a basis
for solving real-world problems (M6.4.5)
PE/TE: 772-773, 776 (#30-34), 777
(#37), 778 (#4), 893
PE/TE = Pupil’s Edition/Teacher’s Edition
6
McDougal Littell Geometry ©2007 correlated to the
Alaska Performance Standards (Grade Level Expectations): Math, Grade 10
[10] S&P-7 [designing, conducting,
analyzing, and communicating the results of
a multi-stage probability experiment L]
(M6.4.6)
PE/TE: Opportunities to address this
standard can be found on the following
pages: 74, 77 (#35), 103 (#4), 363
(#66), 488 (#39), 760 (#39), 888-889,
890
Problem solving: Understand and be able to select and use a variety of problemsolving strategies
The student demonstrates an ability to problem solve by
[10] PS-1 applying multi-step, integrated,
mathematical problem-solving strategies
(M7.4.2)
PE/TE: Found throughout the text.
See, for example: 8 (#45), 14 (#35), 41
(#55), 46 (#38), 55 (#43-44), 77 (#35),
102 (#40), 108 (#38), 110 (#34), 111
(#36), 115, 119 (#29), 177 (#36), 183,
186 (#62), 223 (#49), 231 (#31), 362
(#62), 363 (#66), 414 (#29)
[10] PS-2 verifying the answer by using an
alternative strategy (M7.4.3)
PE/TE: Found throughout the text.
See, for example: 57, 120-121, 188-189,
232, 294, 302, 404-405, 481-482, 530531, 606, 696, 744, 826-827
Communication: Form and use appropriate methods to define and explain
mathematical relationships
The student communicates his or her mathematical thinking by
[10] PS-3 representing mathematical
problems numerically, graphically, and/or
symbolically communicating math ideas in
writing; or using appropriate vocabulary,
symbols, or technology to explain, justify,
and defend strategies and solutions (M8.4.1,
M8.4.
PE/TE: Found throughout the text.
See, for example: 19 (#23), 28 (#2), 32
(#63), 41 (#55), 77 (#35), 90 (#2-3), 108
(#2), 119 (#34-36), 136 (#14-17), 138
(#14-16), 146 (#4), 159 (#39), 166
(#24), 169 (#39), 178 (#47-49), 187
(#73-75), 200 (#1), 211 (#16), 309
(#33), 361 (#47)
Reasoning: Use logic and reason to solve mathematical problems
The student demonstrates an ability to use logic and reason by
[10] PS-4 using methods of proof including
direct, indirect, and counter examples to
validate conjectures (M9.4.3)
PE/TE = Pupil’s Edition/Teacher’s Edition
PE/TE: Found throughout the text.
See, for example: 72-78, 79-85, 89, 93
(#1-2), 103 (#4), 111 (#41), 122-123,
134 (#4-5), 142 (#2), 153, 216, 271,
294, 371, 396, 432, 440, 480 (#41), 488
(#39), 541
7
McDougal Littell Geometry ©2007 correlated to the
Alaska Performance Standards (Grade Level Expectations): Math, Grade 10
Connections: Apply mathematical concepts and processes to situations within and
outside of school
The student understands and applies mathematical skills and processes across the
content strands by
[10] PS-5 using real-world contexts such as
global issues and careers (M10.4.1 &
M10.4.2)
PE/TE = Pupil’s Edition/Teacher’s Edition
PE/TE: Found throughout the text.
See, for example: 7-8, 13-14, 21-22, 3132, 40-41, 55 (#45-46), 91-92, 101, 110
(#35), 117 (#14), 159 (#40), 177, 196
(#29-30), 238 (#23), 239 (#29), 261
(#28), 278 (#39), 300 (#351), 305, 309
(#33)
8
AK 21
5/2006
2007
CC2