Academic standards list

8th Grade — Mathematics

Introduction

Academic standards define the expectations for knowledge and skills that students are to learn in a subject by a certain age or at the end of a school grade level. This page contains a list of standards for a specific content area, grade level, and/or course. The list of standards may be structured using categories and sub-categories.

The Number System

CCSS.Math.Content.8.NS
 
Know that there are numbers that are not rational, and approximate them by rational numbers.
Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational
 
Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram,
 

Expressions & Equations

CCSS.Math.Content.8.EE
 
Work with radicals and integer exponents.
Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 32 x 3-5 = 3-3 = 1/33 = 1/27.
 
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.
 
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
 
Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use
 
Understand the connections between proportional relationships, lines, and linear equations.
Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships
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
Analyze and solve linear equations and pairs of simultaneous linear equations.
Solve linear equations in one variable.
     There are 2 components within this standard.
Analyze and solve pairs of simultaneous linear equations.
     There are 3 components within this standard.

Functions

CCSS.Math.Content.8.F
 
Define, evaluate, and compare functions.
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
Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal
Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. For
Use functions to model relationships between quantities.
Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a
Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or

Geometry

CCSS.Math.Content.8.G
 
Understand congruence and similarity using physical models, transparencies, or geometry software.
Verify experimentally the properties of rotations, reflections, and translations:
     There are 3 components within this standard.
Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations,
Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.
 
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,
Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut
Understand and apply the Pythagorean Theorem.
Explain a proof of the Pythagorean Theorem and its converse.
 
Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.
Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.
 
Solve real-world and mathematical problems involving volume of cylinders, cones and spheres.
Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.
 

Statistics & Probability

CCSS.Math.Content.8.SP
 
Investigate patterns of association in bivariate data.
Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe
 
Know that straight lines are widely used to model relationships between two quantitative variables. For scatter plots that suggest a linear
 
Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept. For
 
Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a
 
 
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