Learning About the World

Mathematics


Measurement, Classification and Data -- Measurement, Comparison, Classification, and Time

Goal 1: Children develop awareness of the differences of the objects and learn to sort, compare and classify objects by their attributes and properties. They also develop a rudimentary sense of time based mostly on common routines.

By the end of each age group or grade level, most children will have met prior age group or grade level standards in this domain.

Infants Through Older Toddlers

Infants

(0-12 Months)

  1. Explore the size and shapes of objects by various means (e.g., holding, mouthing, banging)
  2. Show awareness of basic daily routines (e.g., wake up, diaper change, fed)
  3. Use body in a way that corresponds to size of object (e.g. pincer grasp with small objects)
  4. Show rudimentary understanding of height, depth, near, far

Young Toddlers

(9-18 Months)

  1. Demonstrate awareness of similarities and differences of objects
  2. Make simple comparisons between two objects when the differences are clear (e.g., select the big soccer ball and not the small tennis ball)
  3. Identify difference between objects based on one variable (i.e. size or quantity)
  4. Explore volume through participation in filling and dumping objects in containers using the concepts of full and empty
  5. Experiment with object relationships (e.g. what fits in openings to containers or tubes?)

Older Toddlers

(18-36 Months)

  1. Sort objects by one attribute (e.g., color)
  2. Use language to describe attributes (e.g., big/little, heavy/light)
  3. Compare and order a small set of objects
  4. Identify daily routines and what comes next
  5. Use simple terms related to time (e.g., now, tomorrow, yesterday, later)
Younger Preschoolers Through Kindergartners

Younger Preschoolers

(36-48 months)

  1. Sort objects by one attribute such as color, length, weight or size
  2. Match objects of similar size
  3. Use language to label objects according to an attribute (e.g., big/little, tall/short)
  4. Classify familiar objects into categories (e.g., fruits or vegetables) with modeling and assistance
  5. Use Standard and non-Standard ways and tools to measure and compare (e.g., 3 hands long) with modeling and assistance
  6. Predict upcoming events based on prior knowledge (e.g., pick up toys and then sit on rug for story time)
  7. Show an understanding of variations of full (e.g. a little full, very full, just a little, etc.)

Older Preschoolers

(48-60 months)

  1. Compare and group objects using attributes of length, weight, and size, and explain reasoning (e.g., “I put all the big black buttons in this pile and the small black ones there.”)
  2. Sort objects using two or more attributes (e.g., sets of large blue bears, small blue bears, large red bears, small red bears) and compare number of objects in each set
  3. Classify familiar objects into categories (e.g., fruits or vegetables)
  4. Order objects by size or length (i.e., seriation)
  5. Use Standard and non-Standard ways and tools to measure and compare (e.g., 3 hands long)
  6. Use terms such as before, after, now, later, tomorrow, and yesterday accurately

Kindergartners

  1. No standards in this age group for this Element.
First Graders Through Third Graders

First Graders

  1. No standards in this age group for this Element.

Second Graders

  1. No standards in this age group for this Element.

Third Graders

  1. No standards in this age group for this Element.

Vermont Agency of Education
Secretary Daniel M. French
219 North Main Street, Suite 402
Barre, VT 05641

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