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Archived Information

Mathematics Curriculum Framework - November 2000

Learning Standards by Strand

Patterns, Relations, and Algebra
for Grades 5-6

cross symbol
Understand patterns, relations, and functions
solid circle symbol
Represent and analyze mathematical situations and structures using algebraic symbols
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Use mathematical models to represent and understand quantitative relationships
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Analyze change in various contexts

Learning Standards

Students engage in problem solving, communicating, reasoning, connecting, and representing as they:

Analyze and determine the rules for extending symbolic, arithmetic, and geometric patterns and progressions, e.g., ABBCCC; 1, 5, 9, 13 ...; 3, 9, 27, .... cross symbol
Replace variables with given values and evaluate/simplify, e.g., 2(circle variable) + 3 when circle variable = 4. solid circle symbol
Use the properties of equality to solve problems, e.g., if square variable + 7 = 13, then square variable = 13 - 7, therefore square variable = 6; if 3 x square variable = 15, then 1/3 x 3 x square variable = 1/3 x 15, therefore square variable = 5. solid circle symbol
Represent real situations and mathematical relationships with concrete models, tables, graphs, and rules in words and with symbols, e.g., input-output tables. solid triangle symbol
Solve linear equations using concrete models, tables, graphs, and paper-pencil methods. solid triangle symbol
Produce and interpret graphs that represent the relationship between two variables in everyday situations. solid triangle symbol
Identify and describe relationships between two variables with a constant rate of change. Contrast these with relationships where the rate of change is not constant. solid square symbol


Exploratory Concepts and Skills

  • Use physical models to investigate and describe how a change in one variable affects a second variable.
  • Use models to develop understanding of slope as constant rate of change.
  • Model situations with proportional relationships and solve problems.


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Learning Standards for Grades 3-4
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Learning Standards for Grades 7-8

Last Updated: November 1, 2000
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