In grades 6-8 all students should
- NM-ALG.6-8.1: Understand patterns, relations, and functions
- NM-ALG.6-8.2: Represent and analyze mathematical situations and structures using algebraic symbols
- NM-ALG.6-8.3: Use mathematical models to represent and understand quantitative relationships
- NM-ALG.6-8.4: Analyze change in various contexts
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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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