Algebra Standard for Grades 6-8
| Instructional programs from prekindergarten through grade 12 should enable all students to— |
In grades 6–8 all students should— |
| Understand patterns, relations, and functions |
- 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.
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| Represent and analyze mathematical situations and structures using algebraic symbols |
- 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
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| Use mathematical models to represent and understand quantitative relationships |
- model and solve contextualized problems using various representations, such as graphs, tables, and equations.
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| Analyze change in various contexts |
- use graphs to analyze the nature of changes in quantities in linear relationships.
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Number & Operations | Algebra | Geometry | Measurement
Data Analysis & Probability | Problem Solving | Reasoning & Proof | Communication
Connections | Representation | Member Access to Full Document
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