Algebraic Thinking

Standard 1: The student describes, analyzes, and generalizes a wide variety of patterns, relations, and functions.

Standard 2: The student uses expressions, equations, inequalities, graphs, and formulas to represent and interpret situations.

Standard 1: The student describes, analyzes, and generalizes a wide variety of patterns, relations, and functions.

Grades PreK - 2

  1. describes a wide variety of classification schemes and patterns related to physical characteristics and sensory attributes, such as rhythm, sound, shapes, colors, numbers, similar objects, similar events.

  2. recognizes, extends, generalizes, and creates a wide variety of patterns and relationships using symbols and objects.

Grades 3 - 5

  1. describes a wide variety of patterns and relationships through models, such as manipulatives, tables, graphs, rules using algebraic symbols.

  2. generalizes a pattern, relation, or function to explain how a change in one quantity results in a change in another.

Grades 6 - 8

  1. describes a wide variety of patterns, relationships, and functions through models, such as manipulatives, tables, graphs, expressions, equations, and inequalities.

  2. creates and interprets tables, graphs, equations, and verbal descriptions to explain cause-and-effect relationships.

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Standard 2: The student uses expressions, equations, inequalities, graphs, and formulas to represent and interpret situations.

Grades PreK - 2

  1. understands that geometric symbols (¡,¨, D) can be used to represent unknown quantities in expressions, equations, and inequalities.

  2. uses informal methods to solve real world problems requiring simple equations that contain one variable.

Grades 3 - 5

  1. represents a given simple problem situation using diagrams, models, and symbolic expressions translated from verbal phrases, or verbal phrases translated from symbolic expressions, etc.

  2. uses informal methods, such as physical models and graphs to solve real-world problems involving equations and inequalities.

Grades 6 - 8

  1. represents and solves real-world problems graphically, with algebraic expressions, equations, and inequalities.

  2. uses algebraic problem-solving strategies to solve real-world problems involving linear equations and inequalities.

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