Common Planner
K–12 Standards

Mathematics

Other Arizona Early Learning sets

COUNTING AND CARDINALITY 1

  • 1

    Counts Out Loud: The child counts out loud and uses number words in daily conversations. 1.1

    1. a

      Shows interest in and awareness of counting.1.1.a

    2. b

      Rote counts zero to ten and beyond with increasing accuracy.181.1.b

  • 2

    Knows Number Names and Symbols: The child identifies numerals and uses number words in daily activities. 1.2

    1. a

      Uses numerals and number symbols in the context of daily routines, activities, and play.1.2.a

    2. b

      Uses and creates symbols to represent numbers.1.2.b

    3. c

      Uses a variety of materials (i.e. clay, sand, shaving cream) to write and form numerals and numeral-like symbols.1.2.c

    4. d

      Identifies numerals zero to ten.1.2.d

    5. e

      Differentiates some written numerals from written letters.1.2.e

  • 3

    Compares Numbers and Quantities: The child applies a range of strategies such as matching or counting to compare sets of objects.1.3

    1. a

      Compares two sets of objects using terms such as greater than, less than, or equal to.1.3.a

  • 4

    Counts to Tell Number of Objects: The child uses number words and counting to identify quantity.1.4

    1. a

      Identifies quantities of three to five objects without counting using visual approximation (Subitize).1.4.a

    2. b

      Demonstrates the ability to match object to object in a group (One-to-one correspondence).1.4.b

    3. c

      Counts groups of objects using a number word for each object (Rational counting).1.4.c

    4. d

      Counts a collection of up to ten items using the last counting word to tell, “How many?” (Cardinality) 1.4.d

    5. e

      Matches numerals to quantities using manipulatives.1.4.e

OPERATIONS AND ALGEBRAIC THINKING2

  • 1

    Explores Addition and Subtraction: The child recognizes addition as adding to and subtraction as taking away from.2.1

    1. a

      Recognizes that adding increases the number of objects in a group.2.1.a

    2. b

      Describes changes in two or more sets of objects when they are combined.2.1.b

    3. c

      Recognizes that taking away (subtracting) decreases the number of objects in a group2.1.c

    4. d

      Describes changes in a set of objects when they are separated into parts.2.1.d

    5. e

      Counts on from the larger number for addition.2.1.e

  • 2

    Patterning: The child recognizes, fixes, duplicates, extends, describes, and creates patterns.2.2

    1. a

      Recognizes patterns in the real world. 2.2.a

    2. b

      Fixes simple patterns.2.2.b

    3. c

      Duplicates simple patterns.2.2.c

    4. d

      Extends Patterns2.2.d

    5. e

      Creates patterns.2.2.e

    6. f

      Describes similarities and differences in patterns.2.2.f

MEASUREMENT AND DATA 3

  • 1

    Sorts and Classifies: The child sorts and groups objects by a variety of attributes.3.1

    1. a

      Sorts and classifies objects by one or more attributes (e.g., size, color, shape, texture, use).3.1.a

    2. b

      Explains how items were sorted into groups.3.1.b

  • 2

    Data Analysis: With prompting and support the child collects, organizes, displays, and describes relevant data.3.2

    1. a

      Asks questions to gather measurable data.3.2.a

    2. b

      Displays data to answer simple questions about themselves or the environment.3.2.b

    3. c

      Uses descriptive language to compare data in picture graphs or other concrete representations. 3.2.c

    4. d

      Analyzes data from charts and graphs to answer questions.3.2.d

  • 3

    Measures: The child uses measurement to describe and compare objects in the environment.3.3

    1. a

      Compares objects and uses terms (e.g. lighter-heavier, hotter-colder, and faster-slower).3.3.a

    2. b

      Uses non-standard units of measurement (e.g., hands, bodies, containers) to estimate measurable attributes.3.3.b

    3. c

      Uses various standard measuring tools for simple measuring tasks.3.3.c

    4. d

      Orders objects by measurable attributes.3.3.d

    5. e

      Uses appropriate vocabulary to describe time and sequence related to daily routines (e.g. tomorrow, yesterday,next, this morning).3.3.e

GEOMETRY4

  • 1

    Shapes: The child recognizes names and describes common shapes and their properties.4.1

    1. a

      Recognizes basic two-dimensional shapes when presented in different orientations. 22 4.1.a

    2. b

      Uses the names of geometric shapes when describing objects found in the environment.4.1.b

    3. c

      Creates two-dimensional shapes during play.4.1.c

    4. d

      Creates three-dimensional (solid) shapes during play.4.1.d

    5. e

      Compares, describes, analyzes, and sorts two- and three- dimensional objects in the environment using formal and informal mathematical language with prompting and support based on their attributes.4.1.e

  • 2

    Spatial Reasoning: The child uses and demonstrates an understanding of positional terms.4.2

    1. a

      Uses and responds to spatial language (e.g., between, inside, under, above, behind).4.2.a

    2. b

      Describes the relative position or location of objects in relation to self or to other objects with mathematical precision.4.2.b

Frequently asked questions

What grade levels do these standards cover?
PRE-K and Kindergarten
Where can I read the official document?
ARIZONA EARLY LEARNING STANDARDS 4th Edition May 2018

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