Colorado Extended Evidence Outcomes: Grade 8
Skills available for Colorado Grade 8 math standards
Section
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8.1
Number and Quantity
8.NS.A The Number System: Know that there are numbers that are not rational, and approximate them by rational numbers.
8.NS.A.1 Calculate or identify the equivalent decimal values for common fractions less than 1, such as those expressed as halves, thirds, fourths, and fifths.
8.NS.A.1 Calculate or identify the equivalent decimal values for common fractions less than 1, such as those expressed as halves, thirds, fourths, and fifths.
8.NS.A.2 Compare the size of rational numbers by locating them approximately on a number line diagram.
Graph numbers on number lines
Compare numbers
8.NS.A.2 Compare the size of rational numbers by locating them approximately on a number line diagram.
Graph numbers on number lines
Compare numbers
8.2
Algebra and Functions
8.EE.A Expressions & Equations: Work with radicals and integer exponents.
8.EE.A.1 Know that an integer exponent of 2 is called "squared" and an integer exponent of 3 is called "cubed" and that these numbers indicate how many times to use a number as a factor.
8.EE.A.1 Know that an integer exponent of 2 is called "squared" and an integer exponent of 3 is called "cubed" and that these numbers indicate how many times to use a number as a factor.
8.EE.A.2 Evaluate square roots of small perfect squares (up to 100).
8.EE.A.2 Evaluate square roots of small perfect squares (up to 100).
8.EE.A.3 Use numbers expressed in the form a single digit times a 2nd or 3rd power of 10 to estimate large quantities.
8.EE.A.3 Use numbers expressed in the form a single digit times a 2nd or 3rd power of 10 to estimate large quantities.
8.EE.A.4 Perform addition with numbers expressed in scientific notation, including problems where whole numbers are used as a factor times 102 and 103.
8.EE.A.4 Perform addition with numbers expressed in scientific notation, including problems where whole numbers are used as a factor times 102 and 103.
8.EE.B Expressions & Equations: Understand the connections between proportional relationships, lines, and linear equations.
8.EE.B.5 Graph simple proportional relationships by connecting the origin to a point representing the ratio in the form y/x.
8.EE.B.5 Graph simple proportional relationships by connecting the origin to a point representing the ratio in the form y/x.
8.EE.B.6 Measure the slope of a graph by drawing or using given slope triangles.
8.EE.B.6 Measure the slope of a graph by drawing or using given slope triangles.
8.EE.C Expressions & Equations: Analyze and solve linear equations and pairs of simultaneous linear equations.
8.EE.C.7 Solve two-step linear equations in one variable.
8.EE.C.7 Solve two-step linear equations in one variable.
8.EE.C.8 Match a pair of simultaneous linear equations to a real-world context.
8.EE.C.8 Match a pair of simultaneous linear equations to a real-world context.
8.F.A Functions: Define, evaluate, and compare functions.
8.F.A.1 Given a function table containing at least 2 ordered pairs, identify a missing number that completes another ordered pair (limited to linear functions).
Input/output tables
Proportional relationships
Function tables
8.F.A.1 Given a function table containing at least 2 ordered pairs, identify a missing number that completes another ordered pair (limited to linear functions).
Input/output tables
Proportional relationships
Function tables
8.F.A.2 Compare properties of two functions each represented by verbal descriptions.
8.F.A.2 Compare properties of two functions each represented by verbal descriptions.
8.F.A.3 Interpret a function as linear if all of the input/output pairs can be graphed on a single line.
8.F.A.3 Interpret a function as linear if all of the input/output pairs can be graphed on a single line.
8.F.B Functions: Use functions to model relationships between quantities.
8.F.B.4 Determine the values or rule of a function using a graph or a table.
Values of a function
Rule of a function
Proportional relationships
Linear relationships
8.F.B.4 Determine the values or rule of a function using a graph or a table.
Values of a function
Rule of a function
Proportional relationships
Linear relationships
8.F.B.5 Describe qualitatively how a graph represents a relationship between two quantities.
8.F.B.5 Describe qualitatively how a graph represents a relationship between two quantities.
8.3
Data, Statistics, and Probability
8.SP.A Statistics & Probability: Investigate patterns of association in bivariate data.
8.SP.A.1 Interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities.
8.SP.A.1 Interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities.
8.SP.A.1.a: Describe patterns such as positive or negative association and linear association.
8.SP.A.1.a: Describe patterns such as positive or negative association and linear association.
8.SP.A.2 Informally fit a straight line to a scatterplot and assess the model fit by judging the closeness of the data points to the graph of the line.
8.SP.A.2 Informally fit a straight line to a scatterplot and assess the model fit by judging the closeness of the data points to the graph of the line.
8.SP.A.3 Use a graph of linear model in the context of bivariate measurement data to interpret the slope and intercept.
8.SP.A.3 Use a graph of linear model in the context of bivariate measurement data to interpret the slope and intercept.
8.SP.A.4 Construct a graph or table from given categorical data and compare the data categorized in the graph or table.
Tables and charts
Picture graphs
Bar graphs
8.SP.A.4 Construct a graph or table from given categorical data and compare the data categorized in the graph or table.
Tables and charts
Picture graphs
Bar graphs
8.4
Geometry
8.G.A Geometry: Understand congruence and similarity using physical models, transparencies, or geometry software.
8.G.A.1 Recognize rotations, reflections, and translations.
8.G.A.1 Recognize rotations, reflections, and translations.
8.G.A.2 Demonstrate congruence of two-dimensional shapes by rotating, reflecting, and/or translating one shape onto another.
Understand congruence
Transformations and congruence
8.G.A.2 Demonstrate congruence of two-dimensional shapes by rotating, reflecting, and/or translating one shape onto another.
Understand congruence
Transformations and congruence
8.G.A.3 Describe the effect of a translation, rotation, or reflection in the coordinate plane by matching a point on the figure with the corresponding point on the image of the future.
Coordinate plane
Translations
Reflections
Rotations
8.G.A.3 Describe the effect of a translation, rotation, or reflection in the coordinate plane by matching a point on the figure with the corresponding point on the image of the future.
Coordinate plane
Translations
Reflections
Rotations
8.G.A.4 Recognize that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations.
8.G.A.4 Recognize that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations.
8.G.A.5 Use angle measurements to establish facts about the angle sum of triangles and about the angles created when parallel lines are cut by a transversal.
Angles
Triangles
Angle pairs
8.G.A.5 Use angle measurements to establish facts about the angle sum of triangles and about the angles created when parallel lines are cut by a transversal.
Angles
Triangles
Angle pairs
8.G.B Geometry: Understand and apply the Pythagorean Theorem.
8.G.B.6 Explain or otherwise demonstrate how the areas of the squares constructed on the sides of a 3-4-5 right triangle correspond to the parts of the formula for the Pythagorean Theorem.
8.G.B.6 Explain or otherwise demonstrate how the areas of the squares constructed on the sides of a 3-4-5 right triangle correspond to the parts of the formula for the Pythagorean Theorem.
8.G.B.7 Represent a right triangle on a coordinate plane and measure to find missing side lengths.
8.G.B.7 Represent a right triangle on a coordinate plane and measure to find missing side lengths.
8.G.B.8 Measure to find the distance between two points on a coordinate plane.
8.G.B.8 Measure to find the distance between two points on a coordinate plane.
8.G.C Geometry: Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.
8.G.C.9 Use the formulas for the volumes of cylinders to solve real-world and mathematical problems.
8.G.C.9 Use the formulas for the volumes of cylinders to solve real-world and mathematical problems.