Math (MATH)

Other California PTK DRDP: An Early Childhood Developmental Continuum sets

• Approaches to Learning (ATL)
• English Language Development (ELD)
• Foundational Language Development (FLD)
• Health (HLTH)
• Physical Development (PD)
• Science (SCI)
• Social Emotional Development (SED)

Responds physically to experiences in their immediate environmentEarlier

Explores, responds to,and acts on objects, people, or own body movements through space Later

Explores the relationship between self and objects or people in spасеEarlier

Uses trial and error to make discoveries about spatial relationships or movement of self or objects through spaceLater

Takes into account spatial relationships and physical properties when exploring possibilities of fitting objects togetherEarlier

Demonstrates understanding of objects in relation to each other or their own bodyMiddle

Demonstrates understanding of objects in relation to multiple spatial cues Later

Demonstrates understanding of how an object moves in space (i.e., how objects move, rotate, turn, flip, or slide to move to a new place)Earlier

Demonstrates understanding about how objects can be moved and combined with other objects to create a new object that they specify in advanceMiddle

Creates a two-dimensional or threedimensional representation of the patterns or relationships between objectsLater

Attends to people, objects, or eventsEarlier

Interacts differently with familiar people and objects than with unfamiliar people and objectsLater

Associates a person or object with another person or object, based on a similarity or relationship between themEarlier

Demonstrates understanding of the similarities of a group of objects based on one attribute orthe relationship between themLater

Sorts objects into two groups based on one attribute, but not always accuratelyEarlier

Sorts objects accurately into more than two groups based on one attributeMiddle

Sorts objects into two or more groups based on one attribute, then puts all the objects together and re-sorts the entire collection based on a different attributeLater

Sorts objects into groups based on at least two attributes, sometimes sorting by one attribute and then subdividing those groups based on a second attributeEarlier

Sorts objects into categories by attributesthat are not immediately observable (i.e.,other than size, color, and shape) and describes the resulting categorical groupsMiddle

Sorts objects to gather and organize information, compares the groups of objects, and interprets the information Later

Notices people orobjects nearby in the environmentEarlier

Explores one object at a timeLater

Attends to quantity in different situationsEarlier

Uses number words, signs, or gestures to communicate about small quantitiesLater

Demonstrates one of the following within quantities of 20:Earlier

Demonstrates two ofthe following within quantities of 20: Middle

Demonstrates all three of the following within quantities of 20:Later

Demonstrates all three of the following quantities with more than 20: Earlier

Demonstrates understanding that numbers up to 100 are composed of tens and additional onesMiddle

Decomposes numbers greater than 20 into different combinations of ones, fives, and 10'sLater

Demonstrates awareness of changes in quantityEarlier

Recognizes that single objects can be put together in groups oftwo Later

Demonstrates understanding of quantities up to fiveEarlier

Adds to or subtracts (takes away) from quantities in familiar contexts, without determining the total quantityMiddle

Solves addition and subtraction problems up to five in familiar contexts Later

Solves addition and subtraction problems up to 10 in familiar contextsEarlier

Decomposes (breaks apart) a quantity up to 20 in more than one wayMiddle

Solves addition and subtraction problems up to 20Later

Explores measurable properties of objects (e.g.,size, length, weight, capacity) Earlier

Demonstrates awareness of the dimension of size as relevant to completing a taskLater

Describes objects in terms of measurable propertiesEarlier

Identifies differences in size, length, weight, or capacity between two objects, using comparative words (e.g., "bigger,""smaller")Middle

Orders three or more objects according to measurable propertiesLater

Measures properties using nonstandard or standard units though units may overlap or have gapsEarlier

Compares two objects with a measurable property in common to see which object has"more of" or "less of" the property, and describes the differenceMiddle

Demonstrates understanding that a measurable property can change value depending on the unit (e.g., it will take more inches than feet to measure the samething)Later