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## 8th Grade Math Standards - Algebra

To work on Eighth grade algebra standards, click on the standard numbers below to visit pages with internet resources for each of the learning standards.

Checks for Understanding are at the top of this page. Scroll down to find internet resources related to the State Performance Indicators (SPIs).

### Checks for Understanding (Formative/Summative Assessment)

0806.3.1

Basic Operations - Perform basic operations on algebraic expressions (including grouping, order of operations, exponents, square/cube roots, simplifying and expanding).

0806.3.2 Equations and Inequalities - Represent algebraic relationships with equations and inequalities.
0806.3.3 Linear Equations - Solve systems of linear equations in two variables and relate the systems to pairs of lines that intersect, are parallel, or are the same line.
0806.3.4 Linear Inequality - Understand the relationship between the graph of a linear inequality and its solutions.
0806.3.5 Two Variables - Solve linear inequalities in two variables (including those whose solutions require multiplication or division by a negative number).
0806.3.6 Slope - Identify x- and y-intercepts and slope of linear equations from an equation, graph or table.
0806.3.7 Rate of Change - Analyze situations and solve problems involving constant rate of change.
0806.3.8 Proportion - Recognize a proportion as a special case of a linear equation and understand that the constant of proportionality is the slope, and the resulting graph is a line through the origin.
0806.3.9 Function Rule - Given a function rule, create tables of values for x and y, and plot graphs of nonlinear functions.
0806.3.10 Nonlinear - Distinguish quadratic and exponential functions as nonlinear using a graph and/or a table of values.
0806.3.11 Distinguish Functions - Distinguish between the equations of linear, quadratic, and exponential functions (e.g. function families such as y=x , y=2 , and y=2x).
0806.3.12 Contrast Rate of Change - Understand how rates of change of nonlinear functions contrast with constant rates of change of linear functions.
0806.3.13 Symbolic Algebra - Represent situations and solve real-world problems using symbolic algebra.

### State Performance Indicators

SPI 0806.3.1 Two Linear Equations - Find solutions to systems of two linear equations in two variables.
SPI 0806.3.2 Solve Linear Equation - Solve the linear equation f(x) = g(x).
SPI 0806.3.3 Solve and Graph - Solve and graph linear inequalities in two variables.
SPI 0806.3.4 Various Representations - Translate between various representations of a linear function.
SPI 0806.3.5 Slope of a Line - Determine the slope of a line from an equation, two given points, a table or a graph.
SPI 0806.3.6 Analyze Graph - Analyze the graph of a linear function to find solutions and intercepts.
SPI 0806.3.7 Compare and Contrast - Identify, compare and contrast functions as linear or nonlinear. Algebra [Grades 6-8] from the National Library of Virtual Manipulatives Internet4classrooms is a collaborative effort by Susan Brooks and Bill Byles. 