IXL Math - Arizona kindergarten math standards

IXL Math

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Skills available for Arizona kindergarten math standards

Arizona math standards: 2008 Arizona Mathematics Standards Articulated by Grade Level (Grades K-6)

Arizona math standards: 2003 Arizona Mathematics Standards Articulated by Grade Level (Grades K-5)

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

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K.1 Number and Operations

K.1.1 Understand and apply numbers, ways of representing numbers, and the relationships among numbers and different number systems.
K.1.1.PO 1 Express whole numbers 0 to 20 using and connecting multiple representations.
K.1.1.PO 2 Count forward to 20 and backward from 10 with or without objects using different starting points.
K.1.1.PO 3 Identify numbers which are one more or less than a given number to 20.
- Numbers and counting up to 20: Count up and down (Kindergarten - D.4)
- Numbers and counting up to 20: Before, after, and between (Kindergarten - D.7)
K.1.1.PO 4 Compare and order whole numbers through 20.
K.1.1.PO 5 Recognize and compare the ordinal position of at least five objects.
- Counting and number patterns: Ordinal numbers (First grade - A.15)
K.1.2 Understand and apply numerical operations and their relationship to one another.
K.1.2.PO 1 Solve contextual problems by developing, applying, and recording strategies with sums and minuends to 10 using objects, pictures, and symbols.
K.1.2.PO 2 Develop and use multiple strategies to determine
K.1.2.PO 2.a sums to 10 and
- Adding: Add two numbers - sums up to 5 (Kindergarten - I.2)
- Adding: Add two numbers - sums up to 10 (Kindergarten - I.5)
K.1.2.PO 2.b differences with minuends to 10.
K.1.2.PO 3 Create word problems based on sums to 10 and differences with minuends to 10.
- Addition: Word problems - sums to 10 (First grade - B.3)
- Subtraction: Word problems - one-digit numbers (First grade - D.3)
K.1.3 Use estimation strategies reasonably and fluently while integrating content from each of the other strands.
K.1.3.PO 1 Identify quantities to 20 as more or less than 5 or as more or less than 10.
- Comparing: Fewer and more - comparing groups (Kindergarten - G.2)
- Comparing: Fewer and more - with charts (Kindergarten - G.3)

K.2 Data Analysis, Probability, and Discrete Mathematics

K.2.1 Understand and apply data collection, organization, and representation to analyze and sort data.
K.2.1.PO 1 Construct simple displays of data using objects or pictures.
K.2.1.PO 2 Ask and answer questions by counting, comparing quantities, and interpreting simple displays of data.
K.2.3 Understand and demonstrate the systematic listing and counting of possible outcomes.
K.2.3.PO 1 Sort, classify, count, and represent up to 20 objects and justify the sorting rule.
- Numbers and counting up to 20: Tally marks (Kindergarten - D.5)

K.3 Patterns, Algebra, and Functions

K.3.1 Identify patterns and apply pattern recognition to reason mathematically while integrating content from each of the other strands.
K.3.1.PO 1 Recognize, describe, extend, create, and record simple repeating patterns.
- Patterns: Similar patterns (Kindergarten - H.1)
- Patterns: Complete missing parts of patterns (Kindergarten - H.2)
K.3.1.PO 2 Recognize, describe, extend, and record simple growing patterns.
- Patterns: Growing patterns (Kindergarten - H.3)
K.3.3 Represent and analyze mathematical situations and structures using algebraic representations.
K.3.3.PO 1 Record equivalent forms of whole numbers to 10 by constructing models and using numbers.
K.3.3.PO 2 Compare expressions using spoken words and the symbol =.
- Comparing: Fewer, equal, and more (Kindergarten - G.1)
- Vocabulary: Sum and difference (Kindergarten - T.1)

K.4 Geometry and Measurement

K.4.1 Analyze the attributes and properties of 2- and 3- dimensional figures and develop mathematical arguments about their relationships.
K.4.1.PO 1 Identify, analyze, and describe circles, triangles, and rectangles (including squares) in different orientations and environments.
- Geometry: Identify shapes I (Kindergarten - S.1)
- Geometry: Identify shapes II (Kindergarten - S.2)
K.4.1.PO 2 Build, draw, compare, describe, and sort 2-dimensional figures (including irregular figures) using attributes.
K.4.4 Understand and apply appropriate units of measure, measurement techniques, and formulas to determine measurements.
K.4.4.PO 1 Compare and order objects according to observable and measureable attributes.
K.4.4.PO 2 Use the attribute of length to describe and compare objects using non-standard units.
- Measurement: Long and short (Kindergarten - Q.1)
- Measurement: Tall and short (Kindergarten - Q.2)

K.5 Structure and Logic

K.5.2 Evaluate situations, select problem-solving strategies, draw logical conclusions, develop and describe solutions, and recognize their applications.
K.5.2.PO 1 Identify the question(s) asked and any other questions that need to be answered in order to find a solution.
- Positions: Location in a three-by-three grid (Kindergarten - K.5)
K.5.2.PO 2 Identify the given information that can be used to find a solution.
- Comparing: Fewer and more - mixed (Kindergarten - G.4)
K.5.2.PO 3 Select from a variety of problem-solving strategies and use one or more strategies to arrive at a solution.
K.5.2.PO 4 Represent a problem situation using any combination of words, numbers, pictures, physical objects, or symbols.
K.5.2.PO 5 Explain and clarify mathematical thinking.
K.5.2.PO 6 Determine whether a solution is reasonable.