Mathematics: Grade 8

The Number SystemNS

  • 1a

    Identify π as an irrational number.LC.8.NS.A.1a

  • 1b

    Round irrational numbers to the hundredths place.LC.8.NS.A.1b

  • 2

    Use approximations of irrational numbers to locate them on a number line.LC.8.NS.A.2

Expressions and EquationsEE

  • 1

    Use properties of integer exponents to produce equivalent expressions.LC.8.EE.A.1

  • 2

    Find the square roots of perfect squares and cube roots of whole numbers less than 100.LC.8.EE.A.2

  • 3

    Rewrite very large or very small quantities as a single digit times an integer power of 10.LC.8.EE.A.3

  • 4a

    Convert a number expressed in scientific notation as number in standard form for numbers no greater than 10,000.LC.8.EE.A.4a

  • 4b

    Perform operations with numbers expressed in scientific notation.LC.8.EE.A.4b

  • 5

    Represent proportional relationships on a line graph.LC.8.EE.B.5

  • 6a

    Write the equation of a line passing through the origin as y = mx.LC.8.EE.B.6a

  • 6b

    Write the equation of a line intercepting the y-axis at b as y = mx + b.LC.8.EE.B.6b

  • 7

    Solve linear equations with 1 variable.LC.8.EE.C.7

  • 8a

    Solve systems of two linear equations in two variables and graph the results.LC.8.EE.C.8a

  • 8b

    Solve real world and mathematical problems leading to two linear equations in two variables.LC.8.EE.C.8b

Functions

  • 1

    Distinguish between functions and non-functions, using equations, graphs, or tables.LC.8.F.A.1

  • 2

    Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a linear function represented by a table of values and a linear function represented by an algebraic expression, determine which function has the greater rate of change.LC.8.F.A.2

  • 3

    Given two graphs, describe the function as linear and not linear.LC.8.F.A.3

  • 4

    Identify the rate of change (slope) and initial value (y-intercept) from graphs.LC.8.F.B.4

  • 5a

    Given a verbal description of a situation, create or identify a graph to model the situation.LC.8.F.B.5a

  • 5b

    Given a graph of a situation, generate a description of the situation.LC.8.F.B.5b

  • 5c

    Describe or select the relationship between the two quantities Given a line graph of a situation.LC.8.F.B.5c

GeometryG

  • 1a

    Recognize a rotation, reflection, or translation of a figure.LC.8.G.A.1a

  • 1b

    Recognize that lengths of line segments and measures of angles do not change when rotated, reflected or translated.LC.8.G.A.1b

  • 1c

    Recognize that lines are taken to lines and parallel lines are taken to parallel lines when rotated, reflected or translated.LC.8.G.A.1c

  • 2

    Recognize congruent and similar figures.LC.8.G.A.2

  • 3

    Identify a rotation, reflection, or translation of a plane figure when given coordinates.LC.8.G.A.3

  • 4a

    Recognize congruent and similar figures.LC.8.G.A.4a

  • 4b

    Given two similar two-dimensional figures, show or describe a sequence that exhibits the similarity between them.LC.8.G.A.4b

  • 5

    Use angle relationships to find the value of a missing angle.LC.8.G.A.5

  • 6

    Create a model of the Pythagorean Theorem using areas of squares with a right triangle whose side lengths are 3, 4 and 5 units.LC.8.G.B.6

  • 7a

    Apply the Pythagorean theorem to determine lengths/distances in real-world situations.LC.8.G.B.7a

  • 7b

    Find the hypotenuse of a two-dimensional right triangle (Pythagorean Theorem).LC.8.G.B.7b

  • 7c

    Find the missing side lengths of a two-dimensional right triangle (Pythagorean Theorem).LC.8.G.B.7c

  • 8

    Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.LC.8.G.B.8

  • 9

    Apply the formula to find the volume of 3-dimensional shapes (i.e., cubes, spheres, and cylinders).LC.8.G.C.9

Statistics and ProbabilitySP

  • 1a

    Graph bivariate data using scatter plots and identify possible associations between the variables.LC.8.SP.A.1a

  • 1b

    Using box plots and scatter plots, identify data points that appear to be outliers.LC.8.SP.A.1b

  • 1c

    Analyze displays of bivariate data to develop or select appropriate claims about those data.LC.8.SP.A.1c

  • 2

    Distinguish between a linear and non-linear association when analyzing bivariate data on a scatter plot.LC.8.SP.A.2

  • 3

    Interpret the slope and the y-intercept of a line in the context of a problem.LC.8.SP.A.3

  • 4

    Construct a two-way table summarizing data on two categorical variables collected from the same subjects; identify possible association between the two variables.LC.8.SP.A.4

Frequently asked questions

What grade levels do these standards cover?
Grade 8