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8.1.0
Knowledge of Algebra, Patterns, and Functions
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8.1.A
Patterns and Functions
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8.1.A.1
Identify, describe, extend, and create patterns, functions and sequences
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8.1.A.1.a
Determine the recursive relationship of arithmetic sequences represented in words, in a table or in a graph
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8.1.A.1.b
Determine the recursive relationship of geometric sequences represented in words, in a table, or in a graph
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8.1.A.1.c
Determine whether relationships are linear or nonlinear when represented in words, in a table, symbolically, or in a graph
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8.1.A.1.d
Determine whether relationships are linear or nonlinear when represented symbolically
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8.1.B
Expressions, Equations, and Inequalities
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8.1.B.1
Write, simplify, and evaluate expressions
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8.1.B.1.a
Write an algebraic expression to represent unknown quantities
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8.1.B.1.b
Evaluate an algebraic expression
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8.1.B.1.c
Evaluate numeric expressions using the order of operations
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8.1.B.1.d
Simplify algebraic expressions by combining like terms
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8.1.B.1.e
Describe a real-world situation represented by an algebraic expression
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8.1.B.2
Identify, write, solve, and apply equations and inequalities
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8.1.B.2.a
Write equations or inequalities to represent relationships
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8.1.B.2.b
Solve for the unknown in a linear equation
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8.1.B.2.c
Solve for the unknown in an inequality
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8.1.B.2.d
Identify or graph solutions of inequalities on a number line
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8.1.B.2.e
Identify equivalent equations
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8.1.B.2.f
Apply given formulas to a problem-solving situation
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8.1.B.2.g
Write equations and inequalities that describe real-world problems
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8.1.C
Numeric and Graphic Representations of Relationships
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8.1.C.1
Locate points on a number line and in a coordinate plane
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8.1.C.1.a
Graph linear equations in a coordinate plane
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8.1.C.2
Analyze linear relationships
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8.1.C.2.a
Determine the slope of a graph in a linear relationship
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8.1.C.2.b
Determine the slope of a linear relationship represented numerically or algebraically
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8.2.0
Knowledge of Geometry
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8.2.A
Properties of Plane Geometric Figures
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8.2.A.1
Analyze the properties of plane geometric figures
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8.2.A.1.a
Identify and describe geometric relationships between angles formed when parallel lines are cut by a transversal.
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8.2.A.1.b
Identify and describe the relationship among the parts of a right triangle
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8.2.A.2
Analyze geometric relationships
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8.2.A.2.a
Determine the measurements of angles formed by parallel lines cut by a transversal
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8.2.A.2.b
Apply right angle concepts to solve real-world problems
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8.2.A.2.c
Determine whether three given side lengths form a right triangle
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8.2.C
Representation of Geometric Figures
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8.2.C.1
Represent plane geometric figures
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8.2.C.1.a
Draw quadrilaterals
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8.2.C.1.b
Construct perpendicular line segments
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8.2.C.1.c
Construct triangles
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8.2.D
Congruence and Similarity
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8.2.D.1
Apply the properties of similar polygons
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8.2.D.1.a
Determine similar parts of polygons
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8.2.E
Transformations
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8.2.E.1
Analyze a transformation on a coordinate plane
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8.2.E.1.a
Identify, describe, and plot the results of multiple transformations on a coordinate plane
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8.3.0
Knowledge of Measurement
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8.3.C
Applications in Measurement
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8.3.C.1
Estimate and apply measurement formulas
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8.3.C.1.a
Estimate and determine the circumference or area of a circle
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8.3.C.1.b
Estimate and determine area of a composite figure
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8.3.C.1.c
Estimate and determine the volume of a cylinder
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8.3.C.1.d
Determine the volume of cones, pyramids, and spheres
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8.3.C.1.e
Determine the surface area of cylinders, prisms, and pyramids
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8.3.C.2
Analyze measurement relationships
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8.3.C.2.a
Use proportional reasoning to solve measurement problems
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8.4.0
Knowledge of Statistics
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8.4.A
Data Displays
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8.4.A.1
Organize and display data
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8.4.A.1.a
Organize and display data to make circle graphs
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8.4.A.1.b
Organize and display data to make box-and-whisker plots
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8.4.A.1.c
Organize and display data to make a scatter plot
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8.4.B
Data Analysis
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8.4.B.1
Analyze data
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8.4.B.1.a
Interpret tables
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8.4.B.1.b
Interpret box-and-whisker plots
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8.4.B.1.c
Interpret scatter plots
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8.4.B.1.d
Interpret circle graphs
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8.4.B.1.e
Analyze multiple box-and-whisker plots using the same scale
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8.5.0
Knowledge of Probability
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8.5.A
Sample Space
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8.5.A.1
Identify a sample space
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8.5.A.1.a
Describe the difference between independent and dependent events
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8.5.A.1.b
Determine the number of outcomes
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8.5.B
Theoretical Probability
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8.5.B.1
Determine the probability of an event comprised of no more than 2 independent events
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8.5.B.1.a
Express the probability of an event as a fraction, a decimal, or a percent
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8.5.B.2
Determine the probability of a second event that is dependent on a first event of equally likely outcomes
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8.5.B.2.a
Express the probability as a fraction, a decimal, or a percent
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8.5.C
Experimental Probability
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8.5.C.1
Analyze the results of a survey or simulation
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8.5.C.1.a
Make predictions and express the probability of the results as a fraction, a decimal with no more than 2 decimal places, or a percent
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8.5.C.2
Conduct a probability experiment
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8.5.C.3
Compare outcomes of theoretical probability with the results of experimental probability
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8.5.C.4
Describe the difference between theoretical and experimental probability
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8.6.0
Knowledge of Number Relationships and Computation/Arithmetic
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8.6.A
Knowledge of Number and Place Value
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8.6.A.1
Apply knowledge of rational numbers and place value
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8.6.A.1.a
Read, write, and represent rational numbers
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8.6.A.1.b
Compare, order, and describe rational numbers with and without relational symbols (<, >, =)
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8.6.C
Number Computation
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8.6.C.1
Analyze number relations and compute
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8.6.C.1.a
Add, subtract, multiply and divide integers
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8.6.C.1.b
Calculate powers of integers and square roots of perfect square whole numbers
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8.6.C.1.c
Identify and use the laws of exponents to simplify expressions
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8.6.C.1.d
Use properties of addition and multiplication to simplify expressions
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8.6.C.2
Estimation
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8.6.C.2.a
Estimate the square roots of whole numbers
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8.6.C.3
Analyze ratios, proportions, and percents
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8.6.C.3.a
Determine unit rates
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8.6.C.3.b
Determine or use percents, rates of increase and decrease, discount, commission, sales tax, and simple interest in the context of a problem
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8.6.C.3.c
Solve problems using proportional reasoning
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