Arizona Pre-Kindergarten Math Standards

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1 Counting and Cardinality

• 1.1 Counts Out Loud
  • 1.1.a Shows interest in and awareness of counting.
  • 1.1.b Rote counts zero to ten and beyond with increasing accuracy.
• 1.2 Knows Number Names and Symbols
  • 1.2.a Uses numerals and number symbols in the context of daily routines, activities, and play.
  • 1.2.b Uses and creates symbols to represent numbers.
  • 1.2.c Uses a variety of materials (i.e. clay, sand, shaving cream) to write and form numerals and numeral-like symbols.
  • 1.2.d Identifies numerals zero to ten.
  • 1.2.e Differentiates some written numerals from written letters.
• 1.3 Compare Numbers and Quantities
  • 1.3.a Compares two sets of objects using terms such as greater than, less than, or equal to.
• 1.4 Counts to Tell Number of Objects
  • 1.4.a Identifies quantities of three to five objects without counting using visual approximation (subitize).
  • 1.4.b Demonstrates the ability to match object to object in a group (One-to-one correspondence).
  • 1.4.c Counts groups of objects using a number word for each object (Rational Counting).
  • 1.4.d Counts a collection of up to ten items using the last counting word to tell, “How many?” (Cardinality).
  • 1.4.e Matches numerals to quantities using manipulatives.

2 Operations and Algebraic Thinking

• 2.1 Explores Addition and Subtraction
  • 2.1.a Recognizes that adding increases the number of objects in a group.
  • 2.1.b Describes changes in two or more sets of objects when they are combined.
  • 2.1.c Recognizes that taking away (subtracting) decreases the number of objects in a group.
  • 2.1.d Describes changes in a set of objects when they are separated into parts.
  • 2.1.e Counts on from the larger number for addition.
• 2.2 Patterning
  • 2.2.a Recognizes patterns in the real world.
  • 2.2.b Fixes simple patterns.
  • 2.2.c Duplicates simple patterns.
  • 2.2.d Extends patterns.
  • 2.2.e Creates patterns.
  • 2.2.f Describes similarities and differences in patterns.

3 Measurement and Data

• 3.1 Sorts and Classifies
  • 3.1.a Sorts and classifies objects by one or more attributes (e.g., size, color, shape, texture, use).
  • 3.1.b Explains how items were sorted into groups.
• 3.2 Data Analysis
  • 3.2.a Ask questions to gather measurable data.
  • 3.2.b Displays data to answer simple questions about themselves or the environment.
  • 3.2.c Uses descriptive language to compare data in picture graphs or other concrete representations.
  • 3.2.d Analyzes data from charts and graphs to answer questions.
• 3.3 Measures
  • 3.3.a Compares objects and uses terms such as longer-shorter, hotter-colder, and faster-slower.
  • 3.3.b Uses non-standard units of measurement (e.g., hands, bodies, containers) to estimate measurable attributes.
  • 3.3.c Uses various standard measuring tools for simple measuring tasks.
  • 3.3.d Orders objects by measurable attributes.
  • 3.3.e Uses appropriate vocabulary to describe time and sequence related to daily routines.

4 Geometry

• 4.1 Shapes
  • 4.1.a Recognizes basic two-dimensional shapes when presented in different orientations.
  • 4.1.b Uses the names of geometric shapes when describing objects found in the environment.
  • 4.1.c Creates two-dimensional shapes during play.
  • 4.1.d Creates three dimensional (solid) shapes during play.
  • 4.1.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.
• 4.2 Spatial Reasoning
  • 4.2.a Uses and responds to spatial language (e.g., between, inside, under, above, behind).
  • 4.2.b Describes the relative position or location of objects in relation to self or to other objects with mathematical precision.