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8th Grade Math

Louisiana 8th Grade Math Curriculum

Video lessons and practice for every 8th grade math topic. Aligned to Louisiana Student Standards Math so your child keeps up with class.

Louisiana 8th Grade Math Curriculum | StudyPugHelp

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Standard

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8.NS.A.1

Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.

8.NS.A.2

Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π2).

8.EE.A.2

Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.

8.EE.A.3

Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other.

8.EE.B.5

Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways.

8.EE.B.6

Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.

8.F.A.1

Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.

8.F.A.2

Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).

8.F.B.4

Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.

8.F.B.5

Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.

8.G.A.1

Verify experimentally the properties of rotations, reflections, and translations.

8.G.A.2

Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.

8.G.A.3

Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.

8.G.A.4

Understand 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; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them.

8.G.A.5

Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.

8.G.B.6

Explain a proof of the Pythagorean Theorem and its converse.

8.G.B.7

Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.

8.G.B.8

Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.

8.G.C.9

Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

8.SP.A.1

Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association.

8.SP.A.2

Know that straight lines are widely used to model relationships between two quantitative variables. For scatter plots that suggest a linear association, informally fit a straight line, and informally assess the model fit by judging the closeness of the data points to the line.

8th Grade Math Topics in Louisiana

Louisiana 8th grade math covers a wide range of topics aligned to the Louisiana Student Standards Math. Students move from understanding number systems to graphing functions, solving equations, and applying geometry. StudyPug's video lessons walk through each concept step by step so students never get stuck.

Numbers and Exponents

Students learn that irrational numbers have non-repeating, non-terminating decimal expansions and practice converting repeating decimals to fractions. They apply integer exponent properties to simplify expressions, use square and cube root notation, and work with numbers in scientific notation to compare very large and very small quantities.

Linear Equations and Functions

8th graders graph proportional relationships and interpret slope using similar triangles. They solve one-variable linear equations and systems of simultaneous equations. Students also explore what makes a relation a function and compare linear and nonlinear functions represented in tables, graphs, and equations.

Geometry and Transformations

This grade introduces rotations, reflections, translations, and dilations on the coordinate plane. Students learn to identify congruent and similar figures through sequences of transformations and use the angle-angle criterion for triangle similarity. They also work with parallel lines cut by a transversal and triangle angle sums.

Pythagorean Theorem

Students explore a proof of the Pythagorean Theorem and its converse, then apply it to find unknown side lengths in right triangles and distances between points on a coordinate plane in both real-world and mathematical contexts.

Volume and Data Analysis

8th grade math includes formulas for the volumes of cones, cylinders, and spheres. In statistics, students construct and interpret scatter plots, fit informal trend lines, use linear models to make predictions, and analyze two-way frequency tables for patterns of association between categorical variables.

  • Rational and irrational numbers
  • Integer exponents and scientific notation
  • Slope and linear equations
  • Systems of equations
  • Functions: linear and nonlinear
  • Geometric transformations and similarity
  • Pythagorean Theorem
  • Volume of 3D figures
  • Scatter plots and two-way tables