Arkansas State Standards for Mathematics: Kindergarten

AR.NO.1. Number and Operations: Number Sense: Students shall understand numbers, ways of representing numbers, relationships among numbers and number systems

NO.1.K.1. Whole Numbers: Count with understanding, explaining that each object should be counted only once and that placement of objects does not change the total amount

NO.1.K.2. Whole Numbers: Group physical objects to represent a whole number less than 10 in at least two ways using composition and decomposition

NO.1.K.3. Whole Numbers: Connect various physical models and representations to the quantities they represent using number names, numerals and number words up to 10 with and without appropriate technology

NO.1.K.4. Whole Numbers: Represent numbers to 10 in various forms

NO.1.K.5. Whole Numbers: Recognize the number or quantity in sets up to 5 without counting, regardless of arrangement

NO.1.K.6. Whole Numbers: Estimate quantities fewer than or equal to 10 and judge the reasonableness of the Estimate

NO.1.K.7. Whole Numbers: Orally determine relative position using ordinal numbers (first through tenth)

NO.1.K.8. Whole Numbers: Compare 2 numbers, with less than 6 in each set, using objects and pictures, with and without appropriate technology

NO.1.K.9. Whole Numbers: Compare and order numbers less than twenty using terms more than, same amount as, less than

NO.1.K.10. Rational Numbers: Consecutively order sets of physical objects from 1 to 10

NO.1.K.11. Rational Numbers: Use physical models and drawings to represent commonly used fractions such as halves, thirds and fourths in relation to the whole

AR.NO.2. Number and Operations: Properties of Number Operations: Students shall understand meanings of operations and how they relate to one another

NO.2.K.1. Number Theory: Count on (forward) and count back (backward) using physical models or a number line starting at any whole number between zero and twenty

NO.2.K.2. Whole Number Operations: Use physical and pictorial models to demonstrate various meanings of addition and subtraction

NO.2.K.3. Whole Number Operations: Demonstrate the relationship between addition and subtraction with informal language and models in contextual situations involving whole numbers

NO.2.K.4. Whole Number Operations: Partition or share a small set of objects into groups of equal size e.g., sharing 6 pencils equally among 3 children

AR.NO.3. Number and Operations: Numerical Operations and Estimation: Students shall compute fluently and make reasonable estimates

NO.3.K.1. Computational Fluency-Addition and Subtraction: Develop strategies for basic addition facts (counting all; counting on; one more, two more)

NO.3.K.2. Computational Fluency-Addition and Subtraction: Develop strategies for basic subtraction facts (counting back; one less, two less)

NO.3.K.3. Application of Computation: Solve problems by using a variety of methods and tools (e.g., objects, and/or illustrations, with and without appropriate technology and mental computations)

AR.A.4. Algebra: Patterns, Relations and Functions: Students shall recognize, describe and develop patterns, relations and functions

A.4.K.1. Sort and Classify: Identify how objects are alike or different

A.4.K.2. Sort and Classify: Sort objects into groups in one or more ways and identify which attribute was used to sort

A.4.K.3. Recognize, describe and develop patterns: Identify patterns in the environment

A.4.K.4. Recognize, describe and develop patterns: Use patterns to rote count up to 100 and count backward from 20 to 0

A.4.K.5. Recognize, describe and develop patterns: Identify, describe and extend skip-counting patterns by 5s and 10s

A.4.K.6. Recognize, describe and develop patterns: Duplicate, extend, create and describe repeating patterns using a wide variety of materials

AR.A.5. Algebra: Algebraic Representations: Students shall represent and analyze mathematical situations and structures using algebraic symbols

A.5.K.1. Expressions, Equations and Inequalities: Use drawings and labels to record solutions of addition and subtraction problems with answers less than or equal to 10

A.5.K.2. Expressions, Equations and Inequalities: Identify, create, compare and describe sets of objects as more, less or equal

AR.A.6. Algebra: Algebraic Models: Students shall develop and apply mathematical models to represent and understand quantitative relationships

A.6.K.1. TAUGHT IN GRADE 1.

AR.A.7. Algebra: Analysis of Change: Students shall analyze change in various contexts

A.7.K.1. Analyze Change: Recognize qualitative change

AR.G.8. Geometry: Geometric Properties: Students shall analyze characteristics and properties of 2 and 3 dimensional geometric shapes and develop mathematical arguments about geometric relationships

G.8.K.1. Characteristics and Properties- Three Dimensional: Sort and describe 3-D solids (sphere, cube, cone, and cylinder) by investigating their physical characteristics

G.8.K.2. Characteristics and Properties- Three Dimensional: Locate the presence of two-dimensional figures within three-dimensional objects in the environment

G.8.K.3. Characteristics and Properties- Three Dimensional: Sort, describe and make geometric figures (triangle, rectangle [including square] and circle) by investigating their physical characteristics independent of position or size

AR.G.9. Geometry: Transformation of Shapes: Students shall apply transformations and the use of symmetry to analyze mathematical situations

G.9.K.1. Symmetry and Transformations: Identify figures with a line of symmetry as they appear in the environment

G.9.K.2. Symmetry and Transformations: Explore slides, flips and turns

AR.G.10. Geometry: Coordinate Geometry: Students shall specify locations and describe spatial relationships using coordinate geometry and other representational systems

G.10.K.1. Coordinate Geometry: Demonstrate and describe the relative position of objects as follows: over, under, inside, outside, on, beside, between, above, below, on top of, upside-down, behind, in back of and in front of

AR.G.11. Geometry: Visualization and Geometric Models: Students shall use visualization, spatial reasoning and geometric modeling

G.11.K.1. Spatial Visualization and Models: Arrange physical materials (toothpicks, pretzel sticks, modeling clay, etc...) to form two-dimensional figures

AR.M.12. Measurement: Physical Attributes: Students shall use attributes of measurement to describe and compare mathematical and real-world objects

M.12.K.1. Time: Calendar: Recognize that a calendar is used to measure time and use it to identify units of time (day, week, month, season, year) and compare them

M.12.K.2. Time: Calendar: Orally sequence and count the days of the week

M.12.K.3. Time: Clock: Recognize that a clock is used to tell time

M.12.K.4. Money: Recognize and identify attributes of penny, nickel, dime, and quarter

M.12.K.5. Money: State the values of coins (penny, nickel, dime)

M.12.K.6. Temperature: Differentiate and make connections between hot and cold temperatures

M.12.K.7. Tools and Attributes: Explore the attributes of length, weight, capacity, and mass using relative terms (longer, shorter, bigger, smaller, heavier, lighter, more and less)

AR.M.13. Measurement: Systems of Measurement: Students shall identify and use units, systems and processes of measurement

M.13.K.1. Calendar: Recognize that a calendar is used to measure time and use it to identify units of time (day, week, month, season, year) and compare them

M.13.K.2. Clock: Tell time to the hour the nearest hour using analog and digital clock

M.13.K.3. Elapsed Time: Order events based on time

M.13.K.4. Applications: Name common tools for measurement (balance scale, ruler and thermometer)

M.13.K.5. Applications: Estimate and measure length, capacity/volume and mass pf familiar objects using non-standard units

M.13.K.6. Perimeter: Surround a figure with objects (links, craft sticks, etc) and tell how many it takes to go around (Perimeter answers the question: How many units does it take to travel a path?)

M.13.K.7. Area: Cover a figure with one type of shape and tell how many it takes to cover (Area answers the questions: How much to cover?)

AR.DAP.14. Data Analysis and Probability: Data Representation: Students shall formulate questions that can be addressed with data and collect, organize and display relevant data to answer them

DAP.14.K.1. Collect, Organize and display data: Explore and discuss data collection by collecting, organizing and displaying physical objects

AR.DAP.15. Data Analysis and Probability: Data Analysis: Students shall select and use appropriate statistical methods to analyze data

DAP.15.K.1. Data Analysis: Analyze and interpret concrete and pictorial graphs (i.e. bar graphs, pictographs, Venn diagrams, T-chart)

AR.DAP.16. Data Analysis and Probability: Inferences and Predictions: Students shall develop and evaluate inferences and predictions that are based on data

DAP.16.K.1. TAUGHT IN GRADE 1.

AR.DAP.17. Data Analysis and Probability: Probability: Students shall understand and apply basic concepts of probability

DAP.17.K.1. Probability: Describe the probability of an event as being possible or not possible