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PK.1
Number, Number Sense and Operations
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PK.1.A
Use place value concepts to represent whole numbers using numerals, words and physical models.
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PK
Number and Number Systems
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PK.1.A.8
Represent quantity using invented forms (e.g., child's marks to represent a quantity of objects).
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PK.1.A.9
Write numerical representations (e.g., scribbles, reversals) or numerals in meaningful context (e.g., play situations).
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PK.1.A.10
Identify and name numbers 0-9.
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PK.1.B
Recognize, classify, compare and order whole numbers.
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PK
Number and Number Systems
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PK.1.B.4
Compare and order whole numbers up to 5.
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PK.1.B.6
Compare sets of equal, more, and fewer and use the language of comparison (e.g., equal, more and fewer).
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PK.1.C
Represent commonly used fractions using words and physical models.
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PK.1.D
Determine the value of a collection of coins and dollar bills.
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PK
Number and Number Systems
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PK.1.D.12
Identify some coins (e.g., penny, dime, quarter).
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PK.1.D.13
Recognize that coins have different values.
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PK.1.E
Make change using coins for values up to one dollar.
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PK.1.F
Count, using numerals and ordinal numbers.
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PK
Number and Number Systems
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PK.1.F.1
Count to 10 in the context of daily activities and play.
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PK.1.F.2
Touch objects and say the number names when counting in the context of daily activities and play.
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PK.1.F.3
Demonstrate one-to-one correspondence when counting objects.
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PK.1.F.4
Determine "how many" in sets of 5 or fewer objects.
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PK.1.G
Model, represent and explain addition as combining sets and counting on.
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PK
Number and Number Systems
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PK.1.G.7
Group and regroup a given set in the context of daily activities and play (e.g., 5 blocks can be 2 blue and 3 green or 1 blue and 4 green).
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PK
Meaning of Operations
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PK.1.G.14
Construct sets with more or fewer objects than a given set.
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PK.1.G.15
Count on (forward) using objects such as cards, number cubes or dominoes that have familiar dot patterns.
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PK.1.H
Model, represent and explain subtraction as comparison, take-away and part-to-whole.
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PK
Number and Number Systems
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PK.1.H.7
Group and regroup a given set in the context of daily activities and play (5 blocks can be 2 blue and 3 green or 1 blue and 4 green).
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PK
Meaning of Operations
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PK.1.H.14
Construct sets with more or fewer objects than a given set.
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PK.1.H.15
Count on (forward) using objects such as cards, number cubes or dominoes that have familiar dot patterns.
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PK.1.I
Model, represent and explain multiplication as repeated addition, rectangular arrays and skip counting.
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PK
Number and Number Systems
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PK.1.I.5
Construct two sets of objects each containing the same number of objects.
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PK
Meaning of Operations
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PK.1.I.16
Join two sets of objects to make one large set in the context of daily routines and play (e.g., combining 2 bags of raisins, each containing 3 pieces; combining 2 groups of blocks, each containing 3 blocks).
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PK.1.J
Model, represent and explain division as sharing equally, repeated subtraction and rectangular arrays.
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PK.1.J.17
Distribute equally a set of objects into 2 or more smaller sets.
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PK.1.K
Demonstrate fluency in addition facts with addends through 9 and corresponding subtractions.
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PK
Number and Number Systems
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PK.1.K.7
Group and regroup a given set in the context of daily activities (e.g., 5 blocks can be 2 blue and 3 green or 1 blue and 4 green).
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PK.1.L
Demonstrate fluency in adding and subtracting multiples of 10, and recognize combinations that make 10.
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PK.1.M
Add and subtract two-digit numbers with and without regrouping.
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PK.2
Measurement
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PK.2.A
Explain the need for standard units of measure.
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PK.2.A.3
Sequence or order events in the context of daily activities and play (e.g., wash your hands before and after snacks, who's next for the computer).
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PK.2.B
Select appropriate units for length, weight, volume (capacity) and time, using:
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PK
Measurement Units
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PK.2.B.1
Begin to identify and use language of units of time. For example:
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PK.2.B.1.a
Day, night, week;
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PK.2.B.1.b
Yesterday, today, tomorrow.
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PK
Use Measurement Techniques and Tools
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PK.2.B.2
Recognize that various devices measure time (e.g., clock, timer, calendar).
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PK.2.B.4
Begin to use terms to compare the attributes of objects (e.g., bigger, smaller, lighter, heavier, taller, shorter, more and less).
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PK.2.B.5
Order a set of objects according to size, weight or length.
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PK.2.C
Develop common referents for units of measure for length, weight, volume (capacity) and time to make comparisons and estimates.
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PK
Measurement Units
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PK.2.C.1
Begin to identify and use language of units of time. For example:
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PK.2.C.1.a
Day, night, week;
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PK.2.C.1.b
Yesterday, today, tomorrow.
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PK
Use Measurement Techniques and Tools
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PK.2.C.2
Recognize that various devices measure time (e.g., clock, timer, calendar).
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PK.2.C.3
Sequence or order events in the context of daily activities and play (e.g., wash your hands before and after snacks, who's next for the computer).
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PK.2.C.4
Begin to use terms to compare the attributes of objects (e.g., bigger, smaller, lighter, heavier, taller, shorter, more and less).
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PK.2.C.5
Order a set of objects according to size, weight or length.
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PK.2.D
Apply measurement techniques to measure length, weight and volume (capacity).
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PK
Use Measurement Techniques and Tools
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PK.2.D.6
Measure length and volume (capacity) using non-standard units of measure (e.g., how many paper clips long is a pencil, how many small containers it takes to fill one big container using sand, rice or beans).
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PK.2.E
Recognize that using different units of measurement will yield different numbers for the same measurement.
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PK.3
Geometry and Spatial Sense
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PK.3.A
Describe and create plane figures: circle, rectangle, square, triangle, hexagon, trapezoid, parallelogram and rhombus, and identify them in the environment.
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PK.3.B
Describe solid objects: cube, rectangular prism, sphere, cylinder, cone and pyramid, and identify them in the environment.
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PK.3.C
Sort and compare two-dimensional figures and three-dimensional objects according to their characteristics and properties.
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PK
Characteristics and Properties
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PK.3.C.1
Match identical two- and three-dimensional objects found in the environment and in play situations (e.g., 2 squares of same size, 2 stop signs).
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PK.3.C.2
Sort and classify similar two- and three-dimensional objects in the environment and play situations (e.g., paper shapes, 2 balls of different size).
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PK.3.C.3
Identify, name, create and describe common two-dimensional shapes in the environment and play situations (e.g., circles, triangles, rectangles and squares).
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PK.3.C.4
Identify, name and describe three-dimensional objects using the child's own vocabulary (e.g., sphere-"ball", cube-"box", cylinder-"can" or "tube", cone-"ice cream cone"),
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PK.3.D
Identify, explain and model (superposition, copying) the concept of shapes being congruent and similar.
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PK.3.E
Recognize two- and three-dimensional objects from different positions.
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PK.3.F
Describe location, using comparative (before, after), directional (above, below), and positional (first, last) words.
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PK
Spatial Relationships
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PK.3.F.5
Demonstrate and begin to use the language of the relative position of objects in the environment and play situations (e.g., up, down, over, under, top, bottom, inside, outside, in front, behind, between, beside, next to, right side up and upside down).
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PK.3.G
Identify and draw figures with line symmetry.
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PK.4
Patterns, Functions and Algebra
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PK.4.A
Sort, classify and order objects by size, number and other properties, and describe the attributes used.
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PK
Use Patterns, Relations and Functions
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PK.4.A.1
Sort, order and classify objects by one attribute (e.g., size, color, shape, use).
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PK.4.B
Extend sequences of sounds and shapes or simple number patterns, and create and record similar patterns.
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PK
Use Patterns, Relations and Functions
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PK.4.B.2
Identify, copy, extend and create simple patterns or sequences of sounds, shapes and motions in the context of daily activities and play.
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PK.4.C
Create and extend patterns, and describe the rule in words.
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PK.4.D
Model problem situations, using objects, pictures, numbers and other symbols.
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PK
Use Algebraic Representations
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PK.4.D.4
Use play, physical materials or drawings to model a simple problem (e.g., There are 6 cookies to be shared by 3 children. How many cookies can each child receive?).
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PK.4.E
Solve open sentences and explain strategies.
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PK.4.F
Represent an unknown quantity as a variable using a symbol, such as "square", "triangle", "circle".
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PK.4.G
Describe and compare qualitative and quantitative change.
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PK.5
Data Analysis and Probability
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PK.5.A
Pose questions and gather data about everyday situations and familiar objects.
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PK
Data Collection
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PK.5.A.1
Gather, sort and compare objects by similarities and differences in the context of daily activities and play.
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PK.5.B
Sort and classify objects by attributes, and organize data into categories in a simple table or chart.
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PK
Data Collection
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PK.5.B.2
Place information or objects in a floor or table graph according to one attribute (e.g., size, color, shape or quantity).
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PK
Statistical Methods
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PK.5.B.3
Select the category or categories that have the most or fewest objects in a floor or table graph.
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PK.5.C
Represent data using objects, picture graphs and bar graphs.
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PK.5.D
Describe the probability of chance events as more, less or equally likely to occur.
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PK.6
Mathematical Processes
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PK.6.A
Use a variety of strategies to understand problem situations; e.g., discussing with peers, stating problems in own words, modeling problems with diagrams or physical materials, identifying a pattern.
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PK.6.B
Identify and restate in own words the question or problem and the information needed to solve the problem.
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PK.6.C
Generate alternative strategies to solve problems.
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PK.6.D
Evaluate the reasonableness of predictions, estimations and solutions.
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PK.6.E
Explain to others how a problem was solved.
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PK.6.F
Draw pictures and use physical models to represent problem situations and solutions.
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PK.6.G
Use invented and conventional symbols and common language to describe a problem situation and solution.
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PK.6.H
Recognize the mathematical meaning of common words and phrases, and relate everyday language to mathematical language and symbols.
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PK.6.I
Communicate mathematical thinking by using everyday language and appropriate mathematical language.
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