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8.1
Algebraic Reasoning: Patterns and Relationships
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8.1.1
Equations
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8.1.1.a
Model, write, and solve multi-step linear equations with one variable using a variety of methods to solve application problems.
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8.1.1.b
Graph and interpret the solution to one- and two-step linear equations on a number line with one variable and on a coordinate plane with two variables.
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8.1.1.c
Predict the effect on the graph of a linear equation when the slope or y-intercept changes (e.g., make predictions from graphs, identify the slope or y-intercept in the equation y = mx + b and relate to a graph).
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8.1.1.d
Apply appropriate formulas to solve problems (e.g., d=rt, I=prt).
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8.1.2
Model, write, solve, and graph one- and two-step linear inequalities with one variable.
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8.2
Number Sense and Operation
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8.2.1
Represent and interpret large numbers and numbers less than one in exponential and scientific notation.
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8.2.2
Number Operations
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8.2.2.a
Use the rules of exponents, including integer exponents, to solve problems (e.g., 7? ¡P 7? = 7 to the 5th power, 3 to the -10th ¡P 3 to the 8th power = 3-?).
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8.2.2.b
Solve problems using scientific notation.
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8.2.2.c
Simplify numerical expressions with rational numbers, exponents, and parentheses using order of operations.
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8.3
Geometry
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8.3.1
Construct models, sketch (from different perspectives), and classify solid figures such as rectangular solids, prisms, cones, cylinders, pyramids, and combined forms.
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8.3.2
Develop the Pythagorean Theorem and apply the formula to find the length of line segments, the shortest distance between two points on a graph, and the length of an unknown side of a right triangle.
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8.4
Measurement
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8.4.1
Develop and apply formulas to find the surface area and volume of rectangular prisms, triangular prisms, and cylinders (in terms of pi).
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8.4.2
Apply knowledge of ratio and proportion to solve relationships between similar geometric figures.
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8.4.3
Find the area of a "region of a region" for simple composite figures and the area of cross sections of regular geometric solids (e.g., area of a rectangular picture frame).
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8.5
Data Analysis
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8.5.1
Select, analyze and apply data displays in appropriate formats to draw conclusions and solve problems.
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8.5.2
Determine how samples are chosen (random, limited, biased) to draw and support conclusions about generalizing a sample to a population (e.g., is the average height of a men's college basketball team a good representative sample for height predictions?).
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8.5.3
Find the measures of central tendency (mean, median, mode, and range) of a set of data and understand why a specific measure provides the most useful information in a given context.
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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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