Algebra Standard

Instructional programs from pre-K through grade 12 should enable all students to --

Standard Component
Interactivate Lesson
Grades 6-8 Expectations
understand patterns, relations, and functions; Introduction to Functions
Introduction to Linear Functions
Graphing and the Coordinate Plane
Cartesian Coordinate System
Graphs and Functions
Functions and the Vertical Line Test
Reading Graphs
Impossible Graphs
  • represent, analyze, and generalize a variety of patterns with tables, graphs, words, and, when possible, symbolic rules;

  • relate and compare different forms of representation for a relationship;

  • identify functions as linear or nonlinear and contrast their properties from tables, graphs, or equations.

represent and analyze mathematical situations and structures using algebraic symbols; Introduction to Functions
Introduction to Linear Functions
  • develop an initial conceptual understanding of different uses of variables;

  • explore relationships between symbolic expressions and graphs of lines, paying particular attention to the meaning of intercept and slope;

  • use symbolic algebra to represent situations and to solve problems, especially those that involve linear relationships;

  • recognize and generate equivalent forms for simple algebraic expressions and solve linear equations.

use mathematical models to represent and understand quantitative relationships;
  • model and solve contextualized problems using various representations, such as graphs, tables and equations.

analyze change in various contexts. Introduction to Functions
Introduction to Linear Functions
Reading Graphs
  • use graphs to analyze the nature of changes in quantities in linear relationships.