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8.NO
Number and Operations
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8.1
Use various strategies and operations to solve problems involving real numbers.
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8.1.1
Using alternative representations of rational numbers
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8.1.2
Applying GCF, LCM, and prime and composite numbers, including justification for the reasonableness of results, when working with rational numbers
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8.1.3
Applying proportional reasoning
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8.1.4
Using vocabulary associated with sets, including union and intersection
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8.1.5
Determining whether a number is rational or irrational
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8.1.6
Demonstrating computational fluency with operations on rational numbers
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8.2
Simplify expressions containing natural number exponents by applying one or more of the laws of exponents.
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8.2.1
Writing numbers using scientific notation
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8.3
Use order of operations to evaluate and simplify algebraic expressions.
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8.3.1
Applying the substitution principle
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8.3.2
Applying the properties of operations on rational numbers to evaluate and simplify algebraic expressions
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8.ALG
Algebra
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8.4
Graph linear relations by plotting points or by using the slope and y-intercept.
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8.4.1
Determining slopes and y-intercepts of lines
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8.4.2
Calculating the slope of a linear relation given as a table or graph
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8.4.3
Exhibiting conceptual understanding of various uses of variables
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8.5
Solve problems involving linear functions.
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8.5.1
Identifying functions from information in tables, sets of ordered pairs, equations, graphs, and mappings
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8.5.2
Determining the rule that defines a function
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8.5.3
Classifying variables in a function as independent or dependent
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8.5.4
Classifying relations as linear or nonlinear by examining tables, graphs, or simple equations
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8.6
Solve multistep linear equations, including equations requiring the use of the distributive property.
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8.GEO
Geometry
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8.7
Solve problems using the Pythagorean Theorem.
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8.7.1
Applying the Triangle Inequality Theorem
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8.7.2
Verifying the Pythagorean Theorem
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8.7.3
Applying the Pythagorean Theorem to determine if a triangle is a right triangle
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8.7.4
Applying the Pythagorean Theorem to find the missing length of a side of a right triangle
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8.7.5
Calculating distances on the coordinate plane using the Pythagorean Theorem
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8.8
Compare quadrilaterals, triangles, and solids, using their properties and characteristics.
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8.8.1
Developing mathematical arguments about the relationships among types of quadrilaterals and triangles
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8.8.2
Identifying angle bisectors, perpendicular bisectors, congruent angles, and congruent figures
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8.8.3
Constructing congruent and similar polygons, congruent angles, congruent segments, and parallel and perpendicular lines
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8.MEA
Measurement
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8.9
Determine the measures of special angle pairs, including adjacent, vertical, supplementary, and complementary angles, and angles formed by parallel lines cut by a transversal.
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8.10
Find the perimeter and area of regular and irregular plane figures.
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8.11
Determine the surface area and volume of rectangular prisms, cylinders, and pyramids.
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8.11.1
Estimating surface area and volume of solid figures
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8.11.2
Determining the appropriate units of measure to describe surface area and volume
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8.11.3
Developing formulas for determining surface area and volume of rectangular prisms, cylinders, and pyramids
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8.12
Determine the lengths of missing sides and measures of angles in similar and congruent figures.
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8.12.1
Applying proportional reasoning
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8.12.2
Using dilations on the coordinate plane to determine measures of similar figures
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8.12.3
Finding the ratios of the perimeters and areas of similar triangles, trapezoids, and parallelograms
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8.DAP
Data Analysis and Probability
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8.13
Interpret data from populations, using given and collected data.
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8.13.1
Representing the data with the most appropriate graph, including box-and-whisker plot, circle graph, and scatterplot
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8.13.2
Making predictions by estimating the line of best fit from a scatterplot
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8.13.3
Comparing data sets involving two populations
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8.13.4
Determining the measure of center that is the most appropriate for a given situation
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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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8.14
Determine the theoretical probability of an event.
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8.14.1
Calculating the probability of complementary events and mutually exclusive events
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8.14.2
Comparing experimental and theoretical probability
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8.14.3
Computing the probability of two independent events and two dependent events
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8.14.4
Determining the probability of an event through simulation
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