Educator Services Teaching & Learning Curriculum Resources
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.

Geometry

• 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.

Measurement

• 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.