Arizona

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Skills available for Arizona pre-K math standards

Standards are in black and IXL math skills are in dark green. Hold your mouse over the name of a skill to view a sample question. Click on the name of a skill to practice that skill.

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Arizona Early Learning Standards Arizona Early Learning Standards
Arizona Early Learning Standards (2013) Arizona Early Learning Standards (2013)

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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).
  - Are there enough? (P-E.7)
- 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.
  - One more with pictures - up to 5 (P-B.14)
  - One more with pictures - up to 10 (P-C.14)
- 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.
  - One less with pictures - up to 5 (P-B.15)
  - One less with pictures - up to 10 (P-C.15)
- 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.
  - What comes next? (P-H.4)
- 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.
  - Tally marks - up to 10 (P-C.16)
  - Which picture graph is correct? (K-S.1)
- 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.
  - Interpret picture graphs (K-S.2)
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.
  - Longest and shortest (K)
- 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.
  - Compose two-dimensional shapes (K-W.17)
- 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.

Arizona

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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.