Common Planner
K–12 Standards

Grade 8

Other Colorado Extended Evidence Outcomes: Mathematics sets

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

  • 2

    Compare the size of rational numbers by locating them approximately on a number line diagram. 8.NS.A.2

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

    1. a

      For example, 42 means 4 times 4 and 43 means 4 times 4 times 4.8.EE.A.1.a

  • 2

    Evaluate square roots of small perfect squares (up to 100).8.EE.A.2

  • 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

    1. a

      For example, 5000 can be expressed as 5 x 103 .8.EE.A.3.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

    1. a

      For example, 5 x 102 plus 3 x 102 is 8 x 102 (five ten-squared plus three ten-squared is 8 ten-squared).8.EE.A.4.a

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

    1. a

      For example, given a ration of 3 miles per 1 hour, plot the point (1,3) and draw a line through it and the origin in the first quadrant.8.EE.B.5.a

  • 6

    Measure the slope of a graph by drawing or using given slope triangles.8.EE.B.6

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

    1. a

      For example, if 6x - 3 = 9, then x = 2.8.EE.C.7.a

  • 8

    Match a pair of simultaneious linear equations to a real-world context.8.EE.C.8

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). (EE.F.1-3) 8.F.A.1

  • 2

    Compare properties of two functions each represented by verbal descriptions.8.F.A.2

    1. a

      For example, compare the amount of money received if your allowance of $10 per week instead of $6 per week.8.F.A.2.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

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.8.F.B.4

  • 5

    Describe qualitatively how a graph represents a relationship between two quantities (EE.8.F.B.5).8.F.B.5

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

    1. a

      Describe patterns such as positive or negative association and linear association.8.SP.A.1.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

  • 3

    Use a graph of linear model in the context of bivariate measurement data to interpret the slope and intercept (EE.8.SP.4).8.SP.A.3

  • 4

    Construct a graph or table from given categorical data and compare the data categorized in the graph or table. 8.SP.A.4

Geometry: Understand congruence and similarity using physical models, transparencies, or geometry software.8.G.A

  • 1

    Recognize rotations, reflections, and translations (EE.8.G.1).8.G.A.1

  • 2

    Demonstrate congruence of two-dimensional shapes by rotating, reflecting, and/or translating one shape onto another.8.G.A.2

  • 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.8.G.A.3

  • 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

  • 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 transversal8.G.A.5

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

  • 7

    Represent a right triangle on a coordinate plan and measure to find missing side lengths.8.G.B.7

  • 8

    Measure to find the distance between two points on a coordinate plane. 8.G.B.8

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

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What grade levels do these standards cover?
Grade 8

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Extended Evidence Outcomes: Mathematics