Mathematics Standards

Four/Five Year Old Pre-Kindergarten

B= Beginning D= Developing S= Secure

Problem Solving

Solves problems that arise in math and in other content areas:

• Builds new mathematical knowledge through problem solving  (B)
• Makes, investigates, and applies a variety of strategies to solve problems  (B)
• Monitors and reflects on solutions  (B)
• Develops and evaluates inferences and predictions that are based on data  (B)

Communicates mathematical thinking coherently and clearly:

• Uses mathematical language to express ideas  (B)
• Shows connections among mathematical ideas  B)
• Creates and uses representations to organize, record, and communicate mathematical ideas  (B)

Numbers and Operations:

• Understands numbers, knows number representation, and understands relationships among numbers
• Counts orally 1 to 10  (S)
• Orally counts using 1 to 1 concept  (S)
• Recognizes numerals 1 to 10  (S)
• Knows poems, finger plays, stories and songs that demonstrate one to one correspondence, counting numbers and sets  (D)
• Compares groups of objects using most, least, and same  (D)
• Counts with understanding and recognize “how many” in sets of objects (D)

Algebra:

• Sorts, classifies, & orders objects by color, shape size, number, or kind  (D)
• Recognizes, describes, and extends patterns as related to rhythm, sound, shape, color, number, and similar and different  (D)
• Creates patterns using symbols and objects  (D)
• Describes qualitative change, such as student’s growing taller  (D)

Geometry:

• Recognizes, names, builds, draws, compares, and sorts two and three dimensional shapes  (B)
• Describes attributes and parts of two and three dimensional shapes  (B)
• Investigates and predicts the manipulation of two and three dimensional shapes  (B)
• Names and identifies special position  (D)
• Describes and names direction and distance  (D)
• Understands vertical, horizontal, and diagonal  (D)
• Recognizes and creates shapes that have symmetry  (B)
• Recognizes and identifies geometric shapes in the environment  (D)

Measurement:

• Recognizes length, volume, weight, and time  (B)
• Compares and orders objects according to attributes of length, volume, weight, and time  (B)
• Understands how to measure using nonstandard units  (B)
• Measures with multiple copies of units of the same size, such as blocks laid end to end  (D)
• Uses repetition of a single unit to measure something larger than the unit, for instance, measuring a line with a block  (D)
• Uses preschool manipulatives to measure  (D)

Data Analysis and Probability:

• Poses questions and gather data about themselves and their surroundings  (D)
• Sorts and classifies objects according to their similar properties within that group  (D)
• Represents data using concrete objects, pictures, and graphs  (D)
• Describes the data results  (D)
• Discusses events related to students’ experiences as likely or unlikely  (D)