Arkansas flagArkansas: Grade 8 Mathematics Standards Math Standards

37 standards · 5 domains

ALGEBRA

  • 8.ALG.1 Analyze and solve one-variable linear equations with rational coefficients containing solutions with one, zero, or infinitely many solutions.
  • 8.ALG.2 Analyze and solve one-variable linear inequalities with rational coefficients.
  • 8.ALG.3 Analyze and solve systems of linear equations in the form 𝑦=𝑚𝑥+𝑏 in real-world or mathematical contexts, graphically and algebraically.

FUNCTIONS

  • 8.FN.1 Graph proportional relationships, interpreting the unit rate as the slope of the graph.
  • 8.FN.2 Explain, using similar right triangles, how the slope of a line is the same between two points on a non-vertical line or non-horizontal line. Slope includes: positive, negative, horizontal (zero), and vertical (undefined)
  • 8.FN.3 Determine whether a relation is a function or not when given a function map, table, graph, equation, or set of ordered pairs.
  • 8.FN.4 Compare the rate of change (slope) and y-intercept (initial value) of two linear functions each represented in different forms. Functions are represented algebraically, graphically, numerically in tables, or by verbal descriptions.
  • 8.FN.5 Distinguish between linear and nonlinear functions by comparing graphs and equations.
  • 8.FN.6 Determine the rate of change (slope) and y-intercept (initial value) from tables, graphs, equations, and verbal descriptions of linear relationships.
  • 8.FN.7 Interpret and explain the meaning of the rate of change (slope) and y-intercept (initial value) of a linear relationship in a real-world context.
  • 8.FN.8 Analyze a graph by describing the functional relationships between two quantities.
  • 8.FN.9 Sketch a graph that exhibits qualitative features of a function described verbally.

GEOMETRY & MEASUREMENT

  • 8.GM.1 Apply the formulas for the volume and surface area of cylinders, cones, and spheres to solve real-world and mathematical problems.
  • 8.GM.2 Describe the two-dimensional figure that results from slicing a three-dimensional figure parallel and perpendicular to the base. Three-dimensional figures include: pyramids, cones, and spheres
  • 8.GM.3 Model or explain an informal proof of the Pythagorean Theorem and its converse.
  • 8.GM.4 Apply the Pythagorean Theorem to determine unknown side lengths in right triangles.
  • 8.GM.5 Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.
  • 8.GM.6 Given a figure, draw a congruent figure on a coordinate plane resulting from a rotation, reflection, or translation.
  • 8.GM.7 Identify a single transformation used to transform one figure onto another on a coordinate plane. Rotations include: 90°, 180°, and 270°
  • 8.GM.8 Given two congruent figures, describe a sequence of transformations that maps one figure to another.
  • 8.GM.9 Perform a given sequence of transformations of a figure on the coordinate plane, including rotations, reflections, translations, and dilations. Rotations include: 90°, 180°, and 270°
  • 8.GM.10 Describe the effects of rotations, reflections, translations, and dilations on two-dimensional figures using coordinates. Rotations include: 90°, 180°, and 270°
  • 8.GM.11 Given two similar two-dimensional figures, describe a sequence of transformations that exhibits similarity, including rotations, reflections, translations, and dilations.

NUMBER CONCEPTS & COMPUTATIONS

  • 8.NCC.1 Describe relationships in the real number system (rational and irrational). Numbers relationships to include: decimal expansion for rational and irrational numbers, square roots of nonperfect squares, and cube roots of nonperfect cubes
  • 8.NCC.2 Compare the size of irrational numbers and locate them on a number line by finding the rational approximations.
  • 8.NCC.3 Know and apply the properties of integer exponents to generate equivalent numerical expressions.
  • 8.NCC.4 Write very large and very small numbers in scientific notation using positive and negative exponents.
  • 8.NCC.5 Compare numbers written in scientific notation to determine how many times larger or smaller one number is than the other, using real-world and mathematical problems.
  • 8.NCC.6 Solve real-world and mathematical problems by performing operations with numbers written in standard and scientific notation.
  • 8.NCC.7 Solve equations in the form of 𝑥^2 = 𝑝 or 𝑥^3 = 𝑝 where 𝑝 is a positive rational number.
  • 8.NCC.8 Evaluate square roots of perfect squares and cube roots of perfect cubes.

STATISTICS & PROBABILITY

  • 8.SP.1 Construct scatter plots using bivariate data; determine if the data displays a linear or nonlinear pattern and positive, negative, or no association.
  • 8.SP.2 Construct straight lines to approximately fit data displaying a linear association when presented in scatter plots.
  • 8.SP.3 Construct and interpret a relative frequency table, using data from two categorical variables collected from the same subject.
  • 8.SP.4 Determine the sample space and use the sample space to determine the theoretical probability of a given set of outcomes for compound experiments, using organized lists, tables, or tree diagrams. Compound experiments include a combination of two different experiments.
  • 8.SP.5 Determine theoretical and experimental probabilities of compound experiments.
  • 8.SP.6 Use theoretical probability of an event in a compound experiment to predict the number of times that event will occur for a large number of experiments.