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K.NO
Number and Operations
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K.NO.1
Students shall understand numbers, ways of representing numbers, relationships among numbers and number systems.
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K
Whole Numbers
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K.NO.1.K.1
Count with understanding, explaining that each object should be counted only once and that placement of objects does not change the total amount
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K.NO.1.K.2
Group physical objects to represent a whole number less than 10 in at least two ways using composition and decomposition
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K.NO.1.K.2.a
Composition: A group of 5 cubes can be made by combining 2 red and 3 blue or 4 red and 1 blue
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K.NO.1.K.2.b
Decomposition: 5 cubes can be separated into 2 red and 3 green or 1 red and 4 green
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K.NO.1.K.3
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
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K.NO.1.K.4
Represent numbers to 10 in various forms
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K.NO.1.K.5
Recognize the number or quantity in sets up to 5 without counting, regardless of arrangement
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K.NO.1.K.6
Estimate quantities fewer than or equal to 10 and judge the reasonableness of the Estimate
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K.NO.1.K.7
Orally determine relative position using ordinal numbers (first through tenth)
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K.NO.1.K.8
Compare 2 numbers, with less than 6 in each set, using objects and pictures, with and without appropriate technology
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K.NO.1.K.9
Compare and order numbers less than twenty using terms more than, same amount as, less than
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K
Rational Numbers
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K.NO.1.K.10
Consecutively order sets of physical objects from 1 to 10
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K.NO.1.K.11
Use physical models and drawings to represent commonly used fractions such as halves, thirds and fourths in relation to the whole
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K.NO.2
Students shall understand meanings of operations and how they relate to one another.
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K
Number Theory
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K.NO.2.K.1
Count on (forward) and count back (backward) using physical models or a number line starting at any whole number between zero and twenty
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K
Whole Number Operations
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K.NO.2.K.2
Use physical and pictorial models to demonstrate various meanings of addition and subtraction
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K.NO.2.K.3
Demonstrate the relationship between addition and subtraction with informal language and models in contextual situations involving whole numbers
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K.NO.2.K.4
Partition or share a small set of objects into groups of equal size e.g., sharing 6 pencils equally among 3 children
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K.NO.3
Students shall compute fluently and make reasonable estimates.
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K
Computational Fluency-Addition and Subtraction
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K.NO.3.K.1
Develop strategies for basic addition facts
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K.NO.3.K.1.a
counting all
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K.NO.3.K.1.b
counting on
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K.NO.3.K.1.c
one more, two more
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K.NO.3.K.2
Develop strategies for basic subtraction facts
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K.NO.3.K.2.a
counting back
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K.NO.3.K.2.b
one less, two less
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K
Application of Computation
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K.NO.3.K.3
Solve problems by using a variety of methods and tools (e.g., objects, and/or illustrations, with and without appropriate technology and mental computations)
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K.A
Algebra
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K.A.4
Students shall recognize, describe and develop patterns, relations and functions.
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K
Sort and Classify
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K.A.4.K.1
Identify how objects are alike or different
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K.A.4.K.2
Sort objects into groups in one or more ways and identify which attribute was used to sort
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K
Recognize, describe and develop patterns
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K.A.4.K.3
Identify patterns in the environment
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K.A.4.K.4
Use patterns to rote count up to 100 and count backward from 20 to 0
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K.A.4.K.5
Identify, describe and extend skip-counting patterns by 5s and 10s
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K.A.4.K.6
Duplicate, extend, create and describe repeating patterns using a wide variety of materials
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K.A.5
Students shall represent and analyze mathematical situations and structures using algebraic symbols.
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K
Expressions, Equations and Inequalities
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K.A.5.K.1
Use drawings and labels to record solutions of addition and subtraction problems with answers less than or equal to 10
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K.A.5.K.2
Identify, create, compare and describe sets of objects as more, less or equal
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K.A.7
Students shall analyze change in various contexts.
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K
Analyze Change
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K.A.7.K.1
Recognize qualitative change
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K.G
Geometry
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K.G.8
Students shall analyze characteristics and properties of 2 and 3 dimensional geometric shapes and develop mathematical arguments about geometric relationships.
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K
Characteristics and Properties - Three Dimensional
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K.G.8.K.1
Sort and describe 3-D solids (sphere, cube, cone, and cylinder) by investigating their physical characteristics
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K.G.8.K.2
Locate the presence of two-dimensional figures within three-dimensional objects in the environment
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K
Characteristics and Properties - Two Dimensional
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K.G.8.K.3
Sort, describe and make geometric figures (triangle, rectangle [including square] and circle) by investigating their physical characteristics independent of position or size
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K.G.9
Students shall apply transformations and the use of symmetry to analyze mathematical situations.
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K
Symmetry and Transformations
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K.G.9.K.1
Identify figures with a line of symmetry as they appear in the environment
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K.G.9.K.2
Explore slides, flips and turns
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K.G.10
Students shall specify locations and describe spatial relationships using coordinate geometry and other representational systems.
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K
Coordinate Geometry
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K.G.10.K.1
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
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K.G.11
Students shall use visualization, spatial reasoning and geometric modeling.
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K
Spatial Visualization and Models
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K.G.11.K.1
Arrange physical materials (toothpicks, pretzel sticks, modeling clay, etc...) to form two-dimensional figures
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K.M
Measurement
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K.M.12
Students shall use attributes of measurement to describe and compare mathematical and real-world objects.
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K
Time: Calendar
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K.M.12.K.1
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
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K.M.12.K.2
Orally sequence and count the days of the week
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K
Time: Clock
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K.M.12.K.3
Recognize that a clock is used to tell time
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K
Money
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K.M.12.K.4
Recognize and identify attributes of penny, nickel, dime, and quarter
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K.M.12.K.5
State the values of coins (penny, nickel, dime)
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K
Temperature
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K.M.12.K.6
Differentiate and make connections between hot and cold temperatures
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K
Tools and Attributes
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K.M.12.K.7
Explore the attributes of length, weight, capacity, and mass using relative terms (longer, shorter, bigger, smaller, heavier, lighter, more and less)
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K.M.13
Students shall identify and use units, systems and processes of measurement.
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K
Calendar
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K.M.13.K.1
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
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K
Clock
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K.M.13.K.2
Tell time to the hour the nearest hour using analog and digital clock
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Elapsed Time
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K.M.13.K.3
Order events based on time
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Applications
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K.M.13.K.4
Name common tools for measurement (balance scale, ruler and thermometer)
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K.M.13.K.5
Estimate and measure length, capacity/volume and mass of familiar objects using non-standard units
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Perimeter
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K.M.13.K.6
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?)
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Area
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K.M.13.K.7
Cover a figure with one type of shape and tell how many it takes to cover (Area answers the questions: How much to cover?)
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K.DAP
Data Analysis and Probability
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K.DAP.14
Students shall formulate questions that can be addressed with data and collect, organize and display relevant data to answer them.
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K
Collect, Organize and display data
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K.DAP.14.K.1
Explore and discuss data collection by collecting, organizing and displaying physical objects
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K.DAP.15
Students shall select and use appropriate statistical methods to analyze data.
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K
Data Analysis
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K.DAP.15.K.1
Analyze and interpret concrete and pictorial graphs (i.e. bar graphs, pictographs, Venn diagrams, T-chart)
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K.DAP.17
Students shall understand and apply basic concepts of probability.
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K
Probability
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K.DAP.17.K.1
Describe the probability of an event as being possible or not possible
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