Grade 8 Math Curriculum Alignment with State Standards NM Statute 22-13-1.6.A. Each school district shall align its curricula to meet the state standards for each grade level and subject area so that students who transfer between public schools within the school district receive the same educational opportunity within the same grade or subject area. District: Textbook: MathhHematics Book 3 Strand: NUMBER AND OPERATIONS Standard: Students will understand numerical concepts and mathematical operations. Grade 8 Performance Standards 8.N.1.1 Sort numbers by their properties (e.g., prime, composite, square, square root). Grade 8 Textbook Pages Pupil’s Edition/Teacher’s Edition 166-167, 170, 256257, 595, 596; for prime and composite, see also MathThematics Book 2 8.N.1.2 Demonstrate the magnitude of rational numbers (e.g., trillions to millions). Pupil’s Edition/Teacher’s Edition 124, 130, 131, 214216, 218, 219-220, 223, 349, 350, 352-353, 354, 355, 591, 601 Page 1 5-8 Benchmark N.1: Understand numbers, ways of representing numbers, relationships among numbers, and number systems. Supplemental Materials Month(s) when Addressed Grade 8 Math Curriculum Alignment with State Standards District: Textbook: MathThematics Book 3 Strand: NUMBER AND OPERATIONS Standard: Students will understand numerical concepts and mathematical operations. 5-8 Benchmark N.2: Understand the meaning of operations and how they relate to one another. Grade 8 Performance Standards 8.N.2.1 Use real number properties (e.g., commutative, associative, distributive) to perform various computational procedures. 8.N.2.2 Perform arithmetic operations and their inverses (e.g., addition/subtraction, multiplication/division, square roots of perfect squares, cube roots of perfect cubes) on real numbers. 8.N.2.3 Find roots of real numbers using calculators. Grade 8 Textbook Pages Pupil’s Edition/Teacher’s Edition 176-178, 183, 185, 188, 488-489, 491, 492-493, 496, 525, 600 Supplemental Materials Pupil’s Edition/Teacher’s Edition 122-124, 125-126, 127-129, 130, 131134, 135, 137-139, 140-142, 141, 165167, 170, 171-172, 173, 345-346, 347349, 350, 351354, 355, 592-595 Pupil’s Edition/Teacher’s Edition 167, 172, 174, 178, 185 Page 2 Month(s) when Addressed Grade 8 Math Curriculum Alignment with State Standards District: Textbook: MathThematics Book 3 Strand: NUMBER AND OPERATIONS Standard: Students will understand numerical concepts and mathematical operations. Grade 8 Performance Standards 8.N.3.1 Formulate algebraic expressions that include real numbers to describe and solve realworld problems. 8.N.3.2 Use a variety of computational methods to estimate quantities involving real numbers. Grade 8 Textbook Pages Pupil’s Edition/Teacher’s Edition 41, 46, 48, 52, 60, 63 8.N.3.3 Differentiate between rational and irrational numbers. 8.N.3.4 Use real number properties to perform various computational procedures and explain how they were used. 8.N.3.5 Perform and explain computations with rational numbers, pi, and first-degree algebraic expressions in one variable in a variety of situations. 8.N.3.6 Select and use appropriate forms of rational numbers to solve real-world problems including those involving proportional relationships. Pupil’s Edition/Teacher’s Edition 260-261, 262, 264265, 267 8.N.3.7 Approximate, mentally and with calculators, the value of irrational numbers as they arise from problem situations. 8.N.3.8 Express numbers in scientific notation (including negative exponents) in appropriate problem situations using a calculator. 8.N.3.9 Estimate answers and use formulas to solve application problems involving surface area and volume. Pupil’s Edition/Teacher’s Edition 40-42, 44, 45, 46, 4749, 51, 261, 262, 265, 267 Pupil’s Edition/Teacher’s Edition 3, 8, 85-86, 90, 91, 95, 97, 100, 101, 105, 167, 170, 171, 172, 178, 216, 327, 353 Pupil’s Edition/Teacher’s Edition 176-178, 183, 185, 188, 488-489, 491, 492-493, 496, 525, 600 Pupil’s Edition/Teacher’s Edition 41-42, 46, 48-49, 52, 60, 63 Pupil’s Edition/Teacher’s Edition 84-86, 87, 88-89, 90, 91-93, 202, 204, 207, 208-209, 216-217, 218, 220-221, 222, 452-453, 454-456, 457, 458-460, 591, 597, 599 Pupil’s Edition/Teacher’s Edition 215, 219-220, 349, 353, 354 Pupil’s Edition/Teacher’s Edition 43-45, 47, 48-50, 52, 169, 172-173, 319320, 321-322, 323, 327, 419-421, 422424, 425-426, 427-430, 431 Page 3 5-8 Benchmark N.3: Compute fluently and make reasonable estimates. Supplemental Materials Month(s) when Addressed Grade 8 Math Curriculum Alignment with State Standards District: Textbook: MathThematics Book 3 Strand: ALGEBRA Standard: Students will understand algebraic concepts and applications. Grade 8 Performance Standards 8.A.1.1 Move between numerical, tabular, and graphical representations of linear relationships. 8.A.1.2 Use variables to generalize patterns and information presented in tables, charts, and graphs: a. graph linear functions noting that the vertical change per unit of horizontal change (the slope of the graph) is always the same b. plot the values of quantities whose ratios are always the same, fit a line to the plot, and understand that the slope of the line equals the quantities Grade 8 Textbook Pages Pupil’s Edition/Teacher’s Edition 179-181, 182, 183, 185-186, 196-198, 199, 471, 475, 476, 478-479, 483-485, 486, 490, 492-493, 495 Pupil’s Edition/Teacher’s Edition 190-192, 193-194, 195, 196-198, 199, 332-336, 337, 338-341, 343, 471, 475, 476, 478-479, 483-485, 486, 490, 492493, 495 Page 4 5-8 Benchmark A.1: Understand patterns, relations, and functions. Supplemental Materials Month(s) when Addressed Grade 8 Math Curriculum Alignment with State Standards District: Textbook: MathThematics Book 3 Strand: ALGEBRA Standard: Students will understand algebraic concepts and applications. Grade 8 Performance Standards 8.A.2.1 Demonstrate the difference between an equation and an expression. 8.A.2.2 Solve two-step linear equations and inequalities in one variable with rational solutions. Grade 8 Textbook Pages Pupil’s Edition/Teacher’s Edition 40, 46, 55-56, 60-61 8.A.2.3 Evaluate formulas using substitution. 8.A.2.4 Demonstrate understanding of the relationships between ratios, proportions, and percents and solve for a missing term in a proportion. Pupil’s Edition/Teacher’s Edition 41-42, 43-44, 176178, 184, 186, 187, 415 8.A.2.5 Graph solution sets of linear equations in two variables on the coordinate plane. Pupil’s Edition/Teacher’s Edition 179-181, 182, 183, 185-186, 188, 471, 484-485, 486, 490, 491-494, 495, 496 8.A.2.6 Formulate and solve problems involving simple linear relationships, find percents of a given number, variable situations, and unknown quantities. 8.A.2.7 Use symbols, variables, expressions, inequalities, equations, and simple systems of equations to represent problem situations that involve variables or unknown quantities. Pupil’s Edition/Teacher’s Edition 179-181, 182, 183, 185-186, 188, 471, 484-485, 486, 490, 491-494, 495, 496 Pupil’s Edition/Teacher’s Edition 59, 62, 64, 67, 443446, 447, 448-449, 450, 487-489, 491, 493, 496 Pupil’s Edition/Teacher’s Edition 84-86, 87-89, 90, 9193, 95 Pupil’s Edition/Teacher’s Edition 41, 46, 48, 55-56, 6062, 64-66, 145-148, 152, 154-155, 156, 191-192, 195-196, 443-446, 447, 448-449, 450, 483-485, 490-492 Page 5 5-8 Benchmark A.2: Represent and analyze mathematical situations and structures using algebraic symbols. Supplemental Materials Month(s) when Addressed Grade 8 Math Curriculum Alignment with State Standards District: Textbook: MathThematics Book 3 Strand: ALGEBRA Standard: Students will understand algebraic concepts and applications. 5-8 Benchmark A.3: Use mathematical models to represent and understand quantitative relationships. Grade 8 Performance Standards 8.A.3.1 Generate different representations to model a specific numerical relationship given one representation of data (e.g., a table, a graph, an equation, a verbal description). Grade 8 Textbook Pages Pupil’s Edition/Teacher’s Edition 179-181, 182, 183, 185-186, 196-198, 199, 471, 475, 476, 478-479, 483-485, 486, 490, 492-493, 495 Supplemental Materials Page 6 Month(s) when Addressed Grade 8 Math Curriculum Alignment with State Standards District: Textbook: MathThematics Book 3 Strand: ALGEBRA Standard: Students will understand algebraic concepts and applications. Grade 8 Performance Standards 8.A.4.1 Use graphs, tables, and algebraic representations to make predictions and solve problems that involve change. Grade 8 Textbook Pages Pupil’s Edition/Teacher’s Edition 175-178, 179-182, 183, 184-187, 188, 190-192, 195, 196-197, 334-335, 339341, 467, 469-471, 472-474, 475-476, 477-479, 480, 481, 483-486, 487-489, 490-491, 492-494, 495, 496, 497, 498503, 504, 505-508, 509, 521, 522-523, 524-525, 526, 527-529, 530, 531 Pupil’s Edition/Teacher’s Edition 175-178, 179-182, 183, 184-187, 188, 190-192, 195, 196-197, 334-335, 339341, 467, 469-471, 472-474, 475-476, 477-479, 480, 481, 483-486, 487-489, 490-491, 492-494, 495, 496, 497, 498503, 504, 505-508, 509, 521, 522-523, 524-525, 526, 527-529, 530, 531 Pupil’s Edition/Teacher’s Edition 175-178, 179-182, 184-187, 190-192, 196-197, 469-471, 472-474, 477-479, 480, 481, 482, 483-486, 487-489, 492494, 495, 497, 498503, 505-508, 509, 510-513, 516-518, 519, 521, 522-523, 524-525, 526, 527-529, 530, 531 8.A.4.2 Estimate, find, and justify solutions to problems that involve change using tables, graphs, and algebraic expressions. 8.A.4.3 Use appropriate problemsolving strategies (e.g., drawing a picture, looking for a pattern, systematic guessing and checking, acting it out, making a table or graph, working a simpler problem, writing an algebraic expression or working backward) to solve problems that involve change. 8.A.4.4 Solve multi-step problems that involve changes in rate, average speed, distance, and time. 8.A.4.5 Analyze problems that involve change by identifying relationships, distinguishing relevant from irrelevant information, identifying missing information, sequencing, and observing patterns. 8.A.4.6 Generalize a pattern of change using algebra and show the relationship among the equation, graph, and table of values. Pupil’s Edition/Teacher’s Edition 175-178, 179-182, 185, 186, 187, 190191, 492, 495, 521, 524-525, 526, 527528, 531 Pupil’s Edition/Teacher’s Edition 175-178, 179-182, 184-187, 190-192, 196-197, 339-341, 469-471, 472-474, 477-479, 480, 481, 482, 483-486, 487489, 492-494, 495, 497, 498-503, 505508, 509, 510-513, 516-518, 519, 521, 522-523, 524-525, 526, 527-529, 530, 531 Pupil’s Edition/Teacher’s Edition 175-178, 179-182, 183, 184-187, 188, 190-192, 195, 196-197, 334-335, 339341, 467, 469-471, 472-474, 475-476, 477-479, 480, 481, 483-486, 487-489, 490-491, 492-494, 495, 496, 497, 498503, 504, 505-508, 509, 521, 522-523, 524-525, 526, 527-529, 530, 531 Page 7 5-8 Benchmark A.4: Analyze changes in various contexts. Supplemental Materials Month(s) when Addressed 8.A.4.7 Recognize the same general pattern of change presented in different representations. Pupil’s Edition/Teacher’s Edition 474, 492, 496, 500501, 505, 508, 523, 526, 529 Page 8 Grade 8 Math Curriculum Alignment with State Standards District: Textbook: MathThematics Book 3 Strand: GEOMETRY Standard: Students will understand geometric concepts and applications. Grade 8 Performance Standards 8.G.1.1 Recognize, classify, and discuss properties of all geometric figures including point, line, and plane. 8.G.1.2 Identify arc, chord, and semicircle and explain their attributes. 8.G.1.3 Use the Pythagorean theorem and its converse to find the missing side of a right triangle and the lengths of the other line segments. Grade 8 Textbook Pages Pupil’s Edition/Teacher’s Edition 40-52, 65, 69-76, 125, 154, 166, 169, 186, 202-212, 238-255, 258-259, 262, 264, 266, 267, 272-279, 283-285, 287301, 313, 319-330, 358368, 379, 394, 395-415, 417, 419-431, 434-440, 454456, 457, 459-460, 462, 478, 493, 505, 513-518, 520, 602-605 Pupil’s Edition/Teacher’s Edition 205-206, 207, 210, 211 Pupil’s Edition/Teacher’s Edition 294-296, 297, 297299, 300, 301 Page 9 5-8 Benchmark G.1: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematics arguments about geometric relationships. Supplemental Materials Month(s) when Addressed Grade 8 Math Curriculum Alignment with State Standards District: Textbook: MathThematics Book 3 Strand: GEOMETRY Standard: Students will understand geometric concepts and applications. Grade 8 Performance Standards 8.G.2.1 Represent, formulate, and solve distance and geometry problems using the language and symbols of algebra and the coordinate plane and space (e.g., ordered triplets). Grade 8 Textbook Pages Pupil’s Edition/Teacher’s Edition 65, 125, 154, 186, 342, 432-433, 478, 495, 513, 514, 515-518, 520, 523, 529, 530, 602 Page 10 5-8 Benchmark G.2: Specify locations and describe spatial relationships using coordinate geometry and other representational systems. Supplemental Materials Month(s) when Addressed Grade 8 Math Curriculum Alignment with State Standards District: Textbook: MathThematics Book 3 Strand: GEOMETRY Standard: Students will understand geometric concepts and applications. Grade 8 Performance Standards 8.G.3.1 Describe the symmetry of three-dimensional figures. 8.G.3.2 Describe and perform single and multiple transformations that include rotation, reflection, translation, and dilation (i.e., shrink or magnify) to two-dimensional figures. Grade 8 Textbook Pages Pupil’s Edition/Teacher’s Edition 258-259, 264, 266, 401, 405, 412-413 Pupil’s Edition/Teacher’s Edition 125, 127, 258-259, 262, 264, 266, 511513, 514, 515-518, 519, 520 Page 11 5-8 Benchmark G.3: Apply transformations and use symmetry to analyze mathematical situations. Supplemental Materials Month(s) when Addressed Grade 8 Math Curriculum Alignment with State Standards District: Textbook: MathThematics Book 3 Strand: GEOMETRY Standard: Students will understand geometric concepts and applications. Grade 8 Performance Standards 8.G.4.1 Understand angle relationships formed by parallel lines cut by a transversal. Grade 8 Textbook Pages Pupil’s Edition/Teacher’s Edition 434-435, 436, 437438, 439, 440 8.G.4.2 Recognize and apply properties of corresponding parts of similar and congruent triangles and quadrilaterals. 8.G.4.3 Represent and solve problems relating to size, shape, area, and volume using geometric models. Pupil’s Edition/Teacher’s Edition 202-204, 207, 208209, 212, 241-243, 247, 249-250, 254, 407-409, 411, 414, 417, 454-456, 457, 459-460, 462 8.G.4.4 Develop and use formulas for area, perimeter, circumference, and volume. 8.G.4.5 Construct two-dimensional patterns for three-dimensional models (e.g., cylinders, prisms, cones). Pupil’s Edition/Teacher’s Edition 40-42, 43-45, 46, 4751, 52, 69-71, 72, 73-75, 76, 166, 169, 170, 172-173, 272274, 275, 276-278, 279, 319-320, 321323, 324, 325327, 329, 419-421, 422424, 425-426, 427-430, 431, 454456, 457, 458-460, 462 Pupil’s Edition/Teacher’s Edition 40-42, 43-45, 46, 4751, 52, 69-71, 72, 73-75, 76, 166, 169, 170, 172-173, 319320, 321-323, 324, 325-327, 329, 419421, 422-424, 425-426, 427-430, 431 Pupil’s Edition/Teacher’s Edition 405-406, 407-409, 411, 412-414, 415, 416, 417 Page 12 5-8 Benchmark G.4: Use visualization, spatial reasoning, and geometric modeling to solve problems. Supplemental Materials Month(s) when Addressed Grade 8 Math Curriculum Alignment with State Standards District: Textbook: MathThematics Book 3 Strand: MEASUREMENT Standard: Students will understand measurement systems and applications. Grade 8 Performance Standards 8.M.1.1 Understand the concept of volume and use the appropriate units in common measuring systems (e.g., cubic centimeter, cubic inch, cubic yard) to compute the volume of rectangular solids. 8.M.1.2 Use changes in measurement units (e.g., square inches, cubic feet) to perform conversions from one-, two-, and three-dimensional shapes. Grade 8 Textbook Pages Pupil’s Edition/Teacher’s Edition 43-45, 46, 48, 52, 169, 170, 172-173 Pupil’s Edition/Teacher’s Edition 43-45, 46, 48, 52, 169, 170, 172-173, 579, 583, 586 Page 13 5-8 Benchmark M.1: Understand measurable attributes of objects and the units, systems, and processes of measurement. Supplemental Materials Month(s) when Addressed Grade 8 Math Curriculum Alignment with State Standards District: Textbook: MathThematics Book 3 Strand: MEASUREMENT Standard: Students will understand measurement systems and applications. Grade 8 Performance Standards 8.M.2.1 Use ratios and proportions to measure hard-to-measure objects. Grade 8 Textbook Pages Pupil’s Edition/Teacher’s Edition 201, 203-204, 207, 209, 212, 294-296, 297, 298-299, 356, 357-359, 360-362, 363, 365-366, 451, 452-453, 454-456, 457, 458, 460, 461, 462 Pupil’s Edition/Teacher’s Edition 27, 41, 56, 71, 193195, 201, 217, 303, 432, 451, 452-453, 458, 460, 461 8.M.2.2 Use estimation to solve problems. 8.M.2.3 Use proportional relationships in similar shapes to find missing measurements. 8.M.2.4 Apply strategies to determine the surface area and volume of prisms, pyramids, and cylinders. 8.M.2.5 Perform conversions with multiple terms between metric and U.S. standard measurement systems. 8.M.2.6 Estimate volume in cubic units. 8.M.2.7 Solve simple problems involving rates and derived measurements for such properties as velocity and density. Pupil’s Edition/Teacher’s Edition 201, 203-204, 207, 209, 212, 294-296, 297, 298-299, 356, 357-359, 360-362, 363, 365-366, 451, 452-453, 454-456, 457, 458, 460, 461, 462 Pupil’s Edition/Teacher’s Edition 43-45, 46, 47-51, 52, 169, 170, 172-173, 319-320, 321-323, 324, 325-327, 329, 419-421, 422-424, 425-426, 427-430, 431 Pupil’s Edition/Teacher’s Edition 63, 471, 583 Pupil’s Edition/Teacher’s Edition 44, 50, 169, 170, 172173 Pupil’s Edition/Teacher’s Edition 6-8, 9, 10-12, 14, 178, 181, 185, 196, 579-581, 582, 583-585, 586 Page 14 5-8 Benchmark M.2: Apply appropriate techniques, tools, and formulas to determine measurements. Supplemental Materials Month(s) when Addressed Grade 8 Math Curriculum Alignment with State Standards District: Textbook: MathThematics Book 3 Strand: DATA ANALYSIS AND PROBABILITY Standard: Students will understand how to formulate questions, analyze data, and determine probabilities. Grade 8 Performance Standards 8.D.1.1 Represent two numerical variables on a plot, describe how the data points are distributed, and identify relationships that exist between the two variables. Grade 8 Textbook Pages Pupil’s Edition/Teacher’s Edition 28-30, 31-33, 34, 3537, 38, 194, 198, 469-471, 472-474, 475-476, 477-479, 480, 481, 539, 544, 546, 565, 566 8.D.1.2 Generate, organize, and interpret real numbers in a variety of situations. 8.D.1.3 Organize, analyze, and display appropriate quantitative and qualitative data to address specific questions including: a. frequency distributions b. plots c. histograms d. bar, line, and pie graphs e. diagram and pictorial displays f. charts and tables 8.D.1.4 Select the appropriate measure of central tendency to describe a set of data for a particular problem situation. 8.D.1.5 Simulate an event selecting and using different models. 8.D.1.6 Develop an appropriate strategy using a variety of data from surveys, samplings, estimations, and inferences to address a specific problem. Pupil’s Edition/Teacher’s Edition 117, 154, 469-471, 472-474, 475-476, 477-479, 480, 481, 542-543, 545-547, 559, 563-566, 571-572, 606 Pupil’s Edition/Teacher’s Edition 16-17, 18-20, 21, 2225, 26, 28-30, 3133, 34, 35-37, 38, 92, 102, 144-151, 152, 153-155, 156, 194, 198, 219, 225-226, 227, 228-230, 231, 232, 331, 339, 340, 442-443, 469-471, 472-474, 475-476, 477-479, 480, 481, 492, 538, 539, 544, 546, 552-553, 554555, 556, 557, 558560, 561, 563-566, 567-568, 569-570, 571, 572-575, 576, 577, 581 Pupil’s Edition/Teacher’s Edition 16-17, 18-20, 21, 2225, 26, 144-145, 146-147, 148-151, 152, 154-155, 564, 566, 606 Pupil’s Edition/Teacher’s Edition 111-112, 118, 542543, 545, 547-548 Pupil’s Edition/Teacher’s Edition 82-83, 84-86, 87-89, 90, 91-93, 540-541, 544, 545-548, 549, 550 Page 15 5-8 Benchmark D.1: Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them. Supplemental Materials Month(s) when Addressed Grade 8 Math Curriculum Alignment with State Standards District: Textbook: MathThematics Book 3 Strand: DATA ANALYSIS AND PROBABILITY Standard: Students will understand how to formulate questions, analyze data, and determine probabilities. Grade 8 Performance Standards 8.D.2.1 Use changes in scales, intervals, or categories to help support a particular interpretation of data. 8.D.2.2 Generate, organize, and interpret real number and other data in a variety of situations. Grade 8 Textbook Pages Pupil’s Edition/Teacher’s Edition 17, 20, 22, 23, 29, 33, 150, 182, 190, 563565, 566, 567-568, 571, 573 8.D.2.3 Analyze data to make decisions and to develop convincing arguments from data displayed in a variety of formats including: a. plots b. distributions c. graphs d. scatter plots e. diagrams f. pictorial displays g. charts and tables h. Venn diagrams 8.D.2.4 Interpret and analyze data from graphical representations and draw simple conclusions (e.g., line of best fit). 8.D.2.5 Evaluate and defend the reasonableness of conclusions drawn from data analysis. Pupil’s Edition/Teacher’s Edition 16-17, 18-20, 21, 2225, 26, 28-30, 31-33, 34, 35-37, 38, 92, 102, 144-151, 152, 153-155, 156, 194, 198, 219, 225-226, 227, 228-230, 231, 232, 331, 339, 340, 442-443, 469-471, 472-474, 475-476, 477-479, 480, 481, 492, 538, 539, 544, 546, 552-553, 554555, 556, 557, 558560, 561, 563-566, 567-568, 569-570, 571, 572-575, 576, 577, 581 8.D.2.6 Use appropriate central tendency and spread as a means for effective decision-making in analyzing data and outliers. Pupil’s Edition/Teacher’s Edition 16-17, 18-20, 21, 2225, 26, 144-145, 146-147, 148-151, 152, 154-155, 564, 566, 606 Pupil’s Edition/Teacher’s Edition 117, 154, 469-471, 472-474, 475-476, 477-479, 480, 481, 542-543, 545-547, 559, 563-566, 571-572, 606 Pupil’s Edition/Teacher’s Edition 28-30, 31-33, 34, 3537, 38, 194, 198, 539, 544, 546, 552-553, 554-555, 556, 557, 558-560, 561, 563-566, 567-568, 569-570, 571, 572575, 576, 577, 581 Pupil’s Edition/Teacher’s Edition 117, 469-472, 475477, 542-543, 545547, 559, 606 Page 16 5-8 Benchmark D.2: Select and use appropriate statistical methods to analyze data. Supplemental Materials Month(s) when Addressed 8.D.2.7 Identify simple graphic misrepresentations and distortions of sets of data (e.g., unequal interval sizes, omission of parts of axis range, scaling). 8.D.2.8 Use appropriate technology to display data as lists, tables, matrices, graphs, and plots and to analyze the relationships of variables in the data displayed. Pupil’s Edition/Teacher’s Edition 567-568, 571, 572575, 576, 577, 581 Pupil’s Edition/Teacher’s Edition 33, 151, 155, 182, 323, 340, 486, 491, 556 Page 17 Grade 8 Math Curriculum Alignment with State Standards District: Textbook: MathThematics Book 3 Strand: DATA ANALYSIS AND PROBABILITY Standard: Students will understand how to formulate questions, analyze data, and determine probabilities. Grade 8 Performance Standards 8.D.3.1 Describe how changes in scale, intervals, or categories influence arguments for a particular interpretation of the data. 8.D.3.2 Describe how reader bias, measurement errors, and display distortion can affect the interpretation of data, predictions, and inferences based on data. 8.D.3.3 Conduct simple experiments and/or simulations, record results in charts, tables, or graphs, and use the results to draw conclusions and make predictions. Grade 8 Textbook Pages Pupil’s Edition/Teacher’s Edition 17, 20, 22, 23, 29, 33, 150, 182, 190, 563565, 566, 567-568, 571, 573 8.D.3.4 Compare expected results with experimental results and information used in predictions and inferences. Pupil’s Edition/Teacher’s Edition 111-112, 118, 542543, 545, 547-548 Pupil’s Edition/Teacher’s Edition 563-565, 566, 567568, 571, 573 Pupil’s Edition/Teacher’s Edition 82-83, 84-86, 87-89, 90, 91-93, 111-112, 118, 540-541, 542-543, 544, 545-548, 549, 550 Page 18 5-8 Benchmark D.3: Develop and evaluate inferences and predictions that are based on data. Supplemental Materials Month(s) when Addressed Grade 8 Math Curriculum Alignment with State Standards District: Textbook: MathThematics Book 3 Strand: DATA ANALYSIS AND PROBABILITY Standard: Students will understand how to formulate questions, analyze data, and determine probabilities. Grade 8 Performance Standards 8.D.4.1 Calculate the odds of a desired outcome in a simple experiment. 8.D.4.2 Design and use an appropriate simulation to estimate the probability of a real-world event (e.g., disk toss, cube toss). Grade 8 Textbook Pages Pupil’s Edition/Teacher’s Edition 111-112, 117-118 8.D.4.3 Explain the relationship between probability and odds and calculate the odds of a desired outcome in a simple experiment. Pupil’s Edition/Teacher’s Edition 111-112, 118, 542543, 545, 547-548 8.D.4.4 Use theoretical or experimental probability to make predictions about real-world events. Pupil’s Edition/Teacher’s Edition 108-110, 111-112, 113-114, 115-116, 117-119, 120, 142, 171, 304, 305-307, 308, 309-311, 312, 353, 382, 383-384, 385, 386-387, 388, 545, 581, 582, 584, 586 Pupil’s Edition/Teacher’s Edition 108-110, 111-112, 113-114, 115-116, 117-119, 120, 142, 171, 304, 305-307, 308, 309-311, 312, 353, 382, 383-384, 385, 386-387, 388, 545, 581, 582, 584, 586 8.D.4.5 Use probability to generate convincing arguments, draw conclusions, and make decisions in a variety of situations. 8.D.4.6 Understand that the probability of two unrelated events occurring is the sum of the two individual possibilities and that the probability of one event following another, in independent trials, is the product of the two probabilities. Pupil’s Edition/Teacher’s Edition 111-112, 118, 542543, 545, 547-548 Pupil’s Edition/Teacher’s Edition 304, 305-307, 308, 309-311, 312 Page 19 5-8 Benchmark D.4: Understand and apply basic concepts of probability. Supplemental Materials Month(s) when Addressed