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Archived Information

Mathematics Curriculum Framework - November 2000

Learning Standards by Strand

Patterns, Relations, and Algebra
for Grades 3-4

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

Learning Standards

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

4.P.1
Create, describe, extend, and explain symbolic (geometric) and numeric patterns, including multiplication patterns like 3, 30, 300, 3000, .... cross symbol
4.P.2
Use symbol and letter variables (e.g., Δ, x) to represent unknowns or quantities that vary in expressions and in equations or inequalities (mathematical sentences that use =, <, >). solid circle symbol
4.P.3
Determine values of variables in simple equations, e.g., 4106 - Upsidedown triangle variable = 37, 5 = circle variable + 3, and square variable - circle variable = 3. solid circle symbol
4.P.4
Use pictures, models, tables, charts, graphs, words, number sentences, and mathematical notations to interpret mathematical relationships. solid triangle symbol
4.P.5
Solve problems involving proportional relationships, including unit pricing (e.g., four apples cost 80¢, so one apple costs 20¢) and map interpretation (e.g., one inch represents five miles, so two inches represent ten miles). solid triangle symbol
4.P.6
Determine how change in one variable relates to a change in a second variable, e.g., input-output tables. solid square symbol

 

Exploratory Concepts and Skills

  • Use concrete materials to build an understanding of equality and inequality.
  • Explore properties of equality in number sentences: when equals are added to equals, then the sums are equal; when equals are multiplied by equals, then the products are equal, e.g., if square variable = 5, then 3 x square variable = 3 x 5.

 

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Learning Standards for Grades 1-2
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Patterns, Relations, and Algebra
Learning Standards for Grades 5-6



Last Updated: November 1, 2000
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