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8.M1
Numbers and Operations
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8.M.1a
use the law of exponents for integer exponents;
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8.M.1b
explain the meaning of exponents that are negative and zero;
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8.M.1c
use scientific, exponential, and calculator notation to express very large or small numbers;
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8.M.1d
expand scientific notation to include negative exponents;
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8.M.1e
explain and use the additive and multiplicative identities and the additive and multiplicative inverses;
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8.M.1f
apply order of operations to simplify expressions and perform operations involving numbers written in exponential notation or radical form;
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8.M.1g
estimate and solve problems that include rational numbers, ratios, and proportions;
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8.M2
Algebra
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8.M.2a
identify and describe patterns and sequences by finding the nth term;
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8.M.2b
identify functions as linear or nonlinear and contrast their properties using tables, graphs, or equations;
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8.M.2c
analyze relationships between linear equations and their graphs by connecting the meaning of intercepts and slope to the context of the situation;
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8.M.2d
use symbolic algebra to represent situations and to solve problems involving linear and nonlinear relationships;
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8.M.2e
recognize, generate, and justify equivalent forms of algebraic expressions;
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8.M.2f
solve linear equations and inequalities;
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8.M.2g
represent situations using systems of linear equations and solve graphically;
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8.M.2h
represent and solve problems using various representations, e.g., graphs, tables, and equations;
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8.M.2i
connect the rate of change to the slope of a line;
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8.M.2j
analyze changes in linear relationships using graphs;
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8.M.2k
describe and compare how changes in a linear equation affect the related graph;
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8.M3
Geometry
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8.M.3a
know and apply relationships among the angles, side lengths, perimeters, areas, and volumes of similar objects;
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8.M.3b
verify the Pythagorean Theorem;
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8.M.3c
apply the Pythagorean Theorem to determine if a triangle is a right triangle or to find a missing side of a right triangle;
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8.M.3d
identify and describe angle relationships formed by parallel lines cut by a transversal using appropriate terminology, e.g., alternate interior, alternate exterior, supplementary, vertical angles, corresponding angles, complementary, consecutive interior;
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8.M.3e
plot ordered pairs of rational numbers on the coordinate plane in all four quadrants;
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8.M.3f
use geometric models to represent and explain numerical and algebraic relationships;
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8.M4
Measurement
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8.M.4a
calculate the surface area and volume of selected prisms, pyramids and cylinders;
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8.M.4b
use formulas to a specified level of precision in finding the surface area and volume of prisms, pyramids and cylinders and the volume of spheres and cones;
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8.M.4c
find the sum of the interior and exterior angles of regular convex polygons with and without the use of a protractor;
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8.M.4d
solve simple rate problems;
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8.M5
Data Analysis and Probability
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8.M.5a
know and use the correct graphical representations for discrete and continuous data;
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8.M.5b
find, interpret, and use measures of center, quartile, and interquartile range to compare two sets of data;
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Charts and graphs: Interpret box-and-whisker plots (Eighth grade - N.12)
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Statistics: Calculate mean, median, mode, and range (Eighth grade - BB.1)
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Statistics: Interpret charts to find mean, median, mode, and range (Eighth grade - BB.2)
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Statistics: Mean, median, mode, and range: find the missing number (Eighth grade - BB.3)
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Statistics: Changes in mean, median, mode, and range (Eighth grade - BB.4)
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Statistics: Quartiles (Eighth grade - BB.5)
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8.M.5c
find the equation of a line of best fit for data represented as a scatter plot;
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8.M.5d
compare sampling methods and analyze effects of random versus biased sampling and justify conclusions;
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8.M.5e
construct convincing and appropriate arguments for a conclusion based on analysis of data presented;
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8.M.5f
identify faulty arguments or common errors in data analysis;
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8.M.5g
compute the probability of the occurrence of independent and simple dependent events;
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8.M.5h
differentiate between permutations and combinations;
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