North Dakota Mathematics Content and

correlated to the
North Dakota
Mathematics
Content and
Achievement
Standards
Grade 8
McDougal Littell
Math, Course 3 ©2007
correlated to the
North Dakota
Mathematics Content and
Achievement Standards
Grade 8
STANDARD 1: NUMBER AND OPERATION
Students understand and use basic and advanced concepts of number and number systems.
Numbers, Number Relationships, and Number Systems
8.1.1
Identify subsets of the real number system; i.e., natural and whole numbers, integers, rational and
irrational numbers.
PE/TE: 242, 244, 437, 472
8.1.2
Solve real-world problems involving ratio, proportion, and percent.
PE/TE: 317-318, 319-320, 322, 324-326, 327-328, 329-330, 331, 333-335, 337, 338-339, 340341, 342-344, 344-346, 347-348, 349-350, 351, 357, 358-359, 361, 362, 363, 367, 370
8.1.3
Identify perfect squares 1 to 144 and approximate square roots.
PE/TE: 431-433, 434-436, 437, 439-440, 443-445, 445-447, 448, 450-451, 452-453, 454-455,
468, 472-473, 474, 475, 490, 506, 511, 517, 531, 532, 535, 735, 744, 745
8.1.4
Represent large and small numbers using scientific notation.
PE/TE: 205-206, 207-208, 209, 210, 213, 214, 215, 254, 275, 368, 730
Operations and Their Properties
8.1.5
Apply operation properties to simplify computations and solve problems; i.e., commutative,
associative, and distributive.
PE/TE: 80-82, 82-84, 85-87, 87-89, 95, 96-97, 99, 100, 161, 172, 189, 285, 728
8.1.6
Apply the order of operations to simplify numeric expressions and solve problems.
PE/TE: 10-11, 12-13, 14, 19, 21, 22-23, 24-25, 31, 43, 46-47, 48, 49, 52, 56, 89, 100, 101, 106,
139, 145, 160-161, 200, 305, 727
1
McDougall Littell Math, Course 3 ©2007 correlated to the
North Dakota Mathematics Content and Achievement Standards: Grade 8
Computational Fluency and Estimation
8.1.7
Add, subtract, multiply and divide integers.
PE/TE: 57, 58-60, 60-62, 63-64, 65-67, 70-71, 72-73, 74-75, 76-77, 78-79, 84, 90, 95, 97, 98-99,
100, 101, 204, 208, 357
8.1.8
Select and use a computational technique (e.g., mental calculation, paper-and-pencil, technology)
to solve problems.
PE/TE: 10-11, 12-13, 14, 23, 28-29, 30-31, 36, 62, 63, 72, 77, 82, 89, 99, 108, 109-110, 113-114,
117, 119-120, 116, 149, 237, 246, 259, 325, 330, 341, 385, 392, 420, 432-433, 434-435,
466, 489, 670, 683
8.1.9
Determine when an estimate is sufficient and an exact answer is needed in problem situations.
PE/TE: 156, 248, 432-433, 434-436, 444, 446, 455, 461-462, 464-465, 466-468, 469, 473, 474,
486-487, 488-489, 498, 504, 505-506, 711, 716
2
McDougall Littell Math, Course 3 ©2007 correlated to the
North Dakota Mathematics Content and Achievement Standards: Grade 8
STANDARD 2: GEOMETRY AND SPATIAL SENSE
Student understands and applies geometric concepts and spatial relationships to represent and solve
problems in mathematical and non-mathematical situations.
Two- and Three-Dimensional Shapes, Geometric Properties and Relationships
8.2.1
Use nets to represent the relationships between two- and three-dimensional figures.
PE/TE: 502-504, 505-506, 507-508, 509-510, 518, 527, 548, 736
8.2.2
Classify quadrilaterals based on side lengths, angle measures, and sets of parallel sides.
PE/TE: 386, 387-389, 425, 426, 427, 534, 701, 734
8.2.3
Identify the angles formed and the relationships between the angles when parallel lines are
intersected by a transversal.
PE/TE: This standard is outside the scope of McDougal Littell Math, Course 3.
8.2.4
Apply the Pythagorean Theorem to problems involving right triangles.
PE/TE: 442, 443-445, 445-447, 448-449, 450-451, 452-453, 455, 467, 473, 474, 475, 490, 495,
506, 517, 535, 636, 701, 735
Coordinate Geometry
8.2.5
Represent shapes using coordinate geometry.
PE/TE: 92, 93-95, 99, 404-405, 407, 408, 409-411, 411-413, 418, 420-421, 422-423, 425, 426,
427, 441, 453, 734
Transformation and Symmetry
8.2.6
Draw the results of a combination of transformations in the coordinate plane; i.e., reflections,
rotations, and translations.
PE/TE: 408, 413, 415
8.2.7
Use scale, proportion, and congruency to solve problems involving similar figures.
PE/TE: 321, 324, 325-326, 416-418, 419-421, 423, 425, 426, 427, 441, 456-458, 458-460, 734,
735
Visualization, Spatial Reasoning and Geometric Modeling
8.2.8
Use two-dimensional representations of three-dimensional objects to visualize and solve
problems; e.g., those involving surface area and volume.
PE/TE: 493, 496-497, 502-504, 505-506, 507-508, 510, 518, 527, 548, 736
3
McDougall Littell Math, Course 3 ©2007 correlated to the
North Dakota Mathematics Content and Achievement Standards: Grade 8
STANDARD 3: DATA ANALYSIS, STATISTICS AND PROBABILITY
Students use data collection and analysis techniques, statistical methods and probability to solve
problems.
Data Collection, Display, and Interpretation
8.3.1
Formulate a question and select a random or representative sample.
PE/TE: 644-645
8.3.2
Collect, organize, and display data using scatter and stem-and-leaf plot.
PE/TE: 545-546, 547-548, 597-598, 599-600, 609, 615, 648, 650, 660, 694, 697, 737, 739
Probability
8.3.3
Determine possible outcomes using organized lists, tree diagrams, Venn diagrams, factorials, and
the basic counting principle.
PE/TE: 618-620, 620-622, 623-624, 625-626, 627-629, 629-631, 646-647, 649, 650, 651, 697,
702, 738
8.3.4
Distinguish between experimental and theoretical probability; i.e., the results of an experiment
may not match the theoretical probability.
PE/TE: 352-353, 354-355, 357, 359, 637-638
Statistical Methods
8.3.5
Calculate and compare the measures of central tendency (i.e., mean, median, mode) and spread
(i.e., range).
PE/TE: 75, 76-77, 79, 84, 99, 255-256, 257-258, 259-261, 263, 265, 266, 267, 275, 299, 413, 731
8.3.6
Identify an outlier within a set of data and discuss its effects on the measures of central tendency
and spread.
PE/TE: 604
Predictions, Data Analysis, and Inferences
8.3.7
Make inferences based on analysis of data and interpretation of graphs.
PE/TE: 545-546, 547, 548, 598, 599, 602, 603-604, 608-609, 612-613, 648
4
McDougall Littell Math, Course 3 ©2007 correlated to the
North Dakota Mathematics Content and Achievement Standards: Grade 8
STANDARD 4: MEASUREMENT
Students use concepts and tools of measurement to describe and quantify the world.
Measurable Attributes, Measurement Systems and Units
8.4.1
Select an appropriate degree of precision when using measurements for calculations.
PE/TE: 380-381, 444, 446, 455, 461-462, 464-465, 466-468, 469, 473, 474, 486-487, 488-489,
498, 504, 505-506, 720, 721
8.4.2
Compare unit measurements between systems, e.g., a yard is almost a meter.
PE/TE: This standard is outside the scope of McDougal Littell Math, Course 3.
Measurement Tools, Techniques, and Formulas
8.4.3
Use formulas to determine the surface area and volume of right cones and spheres.
PE/TE: 508-509, 509-511, 517, 520-521, 521-523, 524-525, 527, 528, 529, 536, 544, 555, 626,
679, 701, 736
5
McDougall Littell Math, Course 3 ©2007 correlated to the
North Dakota Mathematics Content and Achievement Standards: Grade 8
STANDARD 5: ALGEBRA, FUNCTIONS AND PATTERNS
Students use algebraic concepts, functions, patterns, and relationships to solve problems.
Patterns, Relations, and Functions
8.5.1
Extend numerical patterns; e.g., Pascal's triangle and the Fibonacci sequence.
PE/TE: 42, 63, 68, 69, 72, 245, 253, 350, 393, 407, 435, 616, 617, 631
Numeric and Algebraic Representations
8.5.2
Use variables, expressions and equations to represent problem situations.
PE/TE: 15-16, 17-19, 29, 30-31, 110, 111-112, 114, 115-116, 117-118, 119, 121-123, 124-125,
126-127, 131, 142, 143-144, 147, 148-149, 151, 152-153, 154, 155, 159, 162, 729
8.5.3
Apply the order of operations and the commutative, associative, and distributive properties to
simplify algebraic expressions.
PE/TE: 85-87, 87-89, 95, 96-97, 99, 100, 161, 172, 189, 285, 728
8.5.4
Apply inverse operations and the properties of equality to solve multi-step equations and
inequalities in one variable.
PE/TE: 107-108, 109-110, 111-112, 113-114, 115-11, 117-118, 119-120, 121-123, 124-125, 126128, 129, 130-131, 135-136, 137, 140-142, 142-145, 146-147, 148-149, 150-151, 152153, 154, 155, 162
Mathematical Modeling
8.5.5
Write multi-step equations and inequalities to represent problem situations.
PE/TE: 29, 30-31, 110, 111-112, 114, 115-116, 117-118, 119, 121-123, 124-125, 126-127, 131,
142, 143-144, 147, 148-149, 151, 152-153, 154, 155, 159, 162, 729
Rates of Change
8.5.6
Solve problems involving rates; i.e., speed equals distance divided by time (miles per hour).
PE/TE: 34-35, 36-37, 38-39, 47, 48, 49, 56, 70, 189, 318, 319-320, 326, 336-337, 360, 362, 363,
468, 567, 570-572, 572-574, 587
6
ND 25
2/2007
2007
CC2