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8. NS: Number Sense: Components of the Standard:
Understand: number, natural number, whole number, integer Understand: unity, prime, composite Understand: rational number Understand: irrational number Understand: decimal approximations of irrational numbers Apply: add, subtract, multiply, divide integers Apply: discover prime factorizations of composite natural numbers Apply: find the greatest common factor of two natural numbers Apply: find the least common multiple of two natural numbers Apply: reduce rational numbers to lowest terms Apply: convert fractions to decimal numbers Apply: convert decimal numbers into fractions Apply: add, subtract, multiply, and divide fractions Apply: approximate square roots Apply: graph rational and irrational numbers on the number line Apply: estimate the value of expressions 8. EE: Expressions and Equations: Components of the Standard: Know: squares and cubes of small natural numbers Understand: properties of integer exponents Understand: relationships between unit rate and slope Understand: similar triangles and the constant slope of an oblique line Apply: solve x2 = p Apply: solve x3 = p Apply: represent and operate with numbers in scientific notation Apply: choose appropriate units for extreme measurements Apply: graph proportional relationships Apply: solve linear equations in one variable Apply: write one-variable linear equations with no solution Apply: write one-variable linear equations with one solution Apply: write one-variable linear equations with infinitely many solutions Analyze: derive y = mx for an oblique line through the origin Analyze: derive y = mx + b for an oblique line with y-intercept b Analyze: solve systems of linear equations in two variables Evaluate: compare: two proportional relationships represented in different ways 8.F: Functions: Components of the Standard: Understand: function Understand: the equation y = mx + b defines a linear function Understand: some functions are not linear Understand: the rate of change and initial value of a function Understand: a functional relationship between two quantities using a graph Apply: use a function to model a linear relationship between two quantities Apply: use a graph to exhibit features of a function from a description Evaluate: compare properties of functions represented in different ways 8G: Geometry: Components of the Standard: Understand: properties of rotations, reflections, and translations Understand: congruence in terms of transformations Understand: the effects of transformations on figures on the coordinate plane Understand: similarity in terms of transformations Understand: the angle-angle criterion for similarity of triangles Apply: properties of angles formed by transversals cutting parallel lines Apply: use the Pythagorean Theorem to solve two-dimensional problems Apply: use the Pythagorean Theorem to solve three-dimensional problems Apply: find the distance between two points on the coordinate plane Apply: calculate areas of plane figures Apply: calculate volumes of prisms, pyramids, cylinders, cones, and spheres Analyze: derive properties of the sum of interior angles of triangles Analyze: derive properties of the sum of exterior angles of triangles Analyze: prove the Pythagorean Theorem and its converse 8. SP: Statistics and Probability: Components of the Standard: Understand: we use straight lines to model relationships between two variables Apply: use a linear model to solve problems involving bivariate data Analyze: construct and interpret scatter plots for bivariate measurement data Analyze: describe patterns in scatter plots Analyze: fit a line to a scatter plot that suggests a linear association Analyze: organize categorical data into a two-way table Analyze: use two-way tables to assess associations in rows and columns of data Evaluate: assess the fit of a line to a scatter plot |