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Mathematics Curriculum Framework - November 2000

Appendix I:
Learning Standards by Grade Span for Grades PreK-6

Grades PreK-K

Number Sense and Operations

  • Count by ones to at least 20.
  • Match quantities up to at least 10 with numerals and words.
  • Identify positions of objects in sequences (e.g., first, second) up to fifth.
  • Compare sets of up to at least 10 concrete objects using appropriate language (e.g., none, more than, fewer than, same number of, one more than), and order numbers.
  • Understand the concepts of whole and half.
  • Identify U.S. coins by name.
  • Use objects and drawings to model and solve related addition and subtraction problems to ten.
  • Estimate the number of objects in a group and verify results.

Patterns, Relations, and Algebra

  • Identify the attributes of objects as a foundation for sorting and classifying, e.g., a red truck, a red block, and a red ball share the attribute of being red; a square block, a square cracker, and a square book share the attribute of being square shaped.
  • Sort and classify objects by color, shape, size, number, and other properties.
  • Identify, reproduce, describe, extend, and create color, rhythmic, shape, number, and letter repeating patterns with simple attributes, e.g., ABABAB....
  • Count by fives and tens at least up to 50.


  • Name, describe, sort, and draw simple two-dimensional shapes.
  • Describe attributes of two-dimensional shapes, e.g., number of sides, number of corners.
  • Name and compare three-dimensional shapes.
  • Identify positions of objects in space, and use appropriate language (e.g., beside, inside, next to, close to, above, below, apart) to describe and compare their relative positions.


  • Recognize and compare the attributes of length, volume/capacity, weight, area, and time using appropriate language, e.g., longer, taller, shorter, same length; heavier, lighter, same weight; holds more, holds less, holds the same amount.
  • Make and use estimates of measurements from everyday experiences.
  • Use nonstandard units to measure length, area, weight, and capacity.

Data Analysis, Statistics, and Probability

  • Collect, sort, organize, and draw conclusions about data using concrete objects, pictures, numbers, and graphs.
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Appendix I:
Learning Standards for Grades 1-2

Last Updated: November 1, 2000
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