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8.1
Linear functions and equations
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8.1.A
Solve one-variable linear equations.
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8.1.B
Solve one- and two-step linear inequalities and graph the solutions on the number line.
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8.1.C
Represent a linear function with a verbal description, table, graph, or symbolic expression, and make connections among these representations.
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8.1.D
Determine the slope and y-intercept of a linear function described by a symbolic expression, table, or graph.
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8.1.E
Interpret the slope and y-intercept of the graph of a linear function representing a contextual situation.
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8.1.F
Solve single- and multi-step word problems involving linear functions and verify the solutions.
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8.1.G
Determine and justify whether a given verbal description, table, graph, or symbolic expression represents a linear relationship.
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8.2
Properties of geometric figures
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8.2.A
Identify pairs of angles as complementary, supplementary, adjacent, or vertical, and use these relationships to determine missing angle measures.
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8.2.B
Determine missing angle measures using the relationships among the angles formed by parallel lines and transversals.
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8.2.C
Demonstrate that the sum of the angle measures in a triangle is 180 degrees, and apply this fact to determine the sum of the angle measures of polygons and to determine unknown angle measures.
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8.2.D
Represent and explain the effect of one or more translations, rotations, reflections, or dilations (centered at the origin) of a geometric figure on the coordinate plane.
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8.2.E
Quickly recall the square roots of the perfect squares from 1 through 225 and estimate the square roots of other positive numbers.
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8.2.F
Demonstrate the Pythagorean Theorem and its converse and apply them to solve problems.
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8.2.G
Apply the Pythagorean Theorem to determine the distance between two points on the coordinate plane.
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8.3
Summary and analysis of data sets
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8.3.A
Summarize and compare data sets in terms of variability and measures of center.
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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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8.3.B
Select, construct, and analyze data displays, including box-and-whisker plots, to compare two sets of data.
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8.3.C
Create a scatterplot for a two-variable data set, and, when appropriate, sketch and use a trend line to make predictions.
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8.3.D
Describe different methods of selecting statistical samples and analyze the strengths and weaknesses of each method.
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8.3.E
Determine whether conclusions of statistical studies reported in the media are reasonable.
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8.3.F
Determine probabilities for mutually exclusive, dependent, and independent events for small sample spaces.
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8.3.G
Solve single- and multi-step problems using counting techniques and Venn diagrams and verify the solutions.
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8.4
Additional Key Content
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8.4.A
Represent numbers in scientific notation, and translate numbers written in scientific notation into standard form.
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8.4.B
Solve problems involving operations with numbers in scientific notation and verify solutions.
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8.4.C
Evaluate numerical expressions involving non-negative integer exponents using the laws of exponents and the order of operations.
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8.4.D
Identify rational and irrational numbers.
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8.5
Reasoning, problem solving, and communication
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8.5.A
Analyze a problem situation to determine the question(s) to be answered.
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8.5.B
Identify relevant, missing, and extraneous information related to the solution to a problem.
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8.5.C
Analyze and compare mathematical strategies for solving problems, and select and use one or more strategies to solve a problem.
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8.5.D
Represent a problem situation, describe the process used to solve the problem, and verify the reasonableness of the solution.
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8.5.E
Communicate the answer(s) to the question(s) in a problem using appropriate representations, including symbols and informal and formal mathematical language.
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8.5.F
Apply a previously used problem-solving strategy in a new context.
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8.5.G
Extract and organize mathematical information from symbols, diagrams, and graphs to make inferences, draw conclusions, and justify reasoning.
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8.5.H
Make and test conjectures based on data (or information) collected from explorations and experiments.
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