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K.1
Number, Number Sense and Operations
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K.1.A
Use place value concepts to represent whole numbers using numerals, words and physical models.
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K
Number and Number Systems
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K.1.A.5
Relate, read and write numerals for single-digit numbers (0 to 9).
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K.1.B
Recognize, classify, compare and order whole numbers.
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K
Number and Number Systems
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K.1.B.1
Compare and order whole numbers up to 10.
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K.1.B.7
Compare the number of objects in two or more sets when one set has one or two more, or one or two fewer objects.
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K
Computation and Estimation
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K.1.B.13
Recognize the number or quantity of sets up to 5 without counting; e.g., recognize without counting the dot arrangement on a domino as 5.
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K.1.C
Represent commonly used fractions using words and physical models.
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K.1.D
Determine the value of a collection of coins and dollar bills.
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K
Number and Number Systems
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K.1.D.9
Identify and state the value of a penny, nickel and dime.
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K.1.E
Make change using coins for values up to one dollar.
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K.1.F
Count, using numerals and ordinal numbers.
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K
Number and Number Systems
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K.1.F.2
Explain rules of counting, such as each object should be counted once and that order does not change the number.
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K.1.F.3
Count to twenty; e.g., in play situations or while reading number books.
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K.1.F.4
Determine "how many" in sets (groups) of 10 or fewer objects.
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K.1.G
Model, represent and explain addition as combining sets and counting on.
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K
Number and Number Systems
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K.1.G.8
Represent and use whole numbers in flexible ways, including relating, composing and decomposing numbers; e.g., 5 marbles can be 2 red and 3 green or 1 red and 4 green.
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K
Meaning of Operations
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K.1.G.10
Model and represent addition as combining sets and counting on, and subtraction as take-away and comparison. For example:
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K.1.G.10.a
Combine and separate small sets of objects in contextual situations; e.g., add or subtract one, two, or another small amount.
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K.1.G.10.b
Count on (forward) and count back (backward) on a number line between 0 and 10.
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K.1.H
Model, represent and explain subtraction as comparison, take-away and part-to-whole.
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K
Number and Number Systems
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K.1.H.8
Represent and use whole numbers in flexible ways, including relating, composing and decomposing numbers; e.g., 5 marbles can be 2 red and 3 green or 1 red and 4 green.
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K
Meaning of Operations
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K.1.H.10
Model and represent addition as combining sets and counting on, and subtraction as take-away and comparison. For example:
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K.1.H.10.a
Combine and separate small sets of objects in contextual situations; e.g., add or subtract one, two, or another small amount.
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K.1.H.10.b
Count on (forward) and count back (backward) on a number line between 0 and 10.
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K.1.I
Model, represent and explain multiplication as repeated addition, rectangular arrays and skip counting.
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K
Number and Number Systems
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K.1.I.6
Construct multiple sets of objects each containing the same number of objects.
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K
Meaning of Operations
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K.1.I.11
Demonstrate joining multiple groups of objects, each containing the same number of objects; e.g., combining 3 bags of candy, each containing 2 pieces.
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K.1.J
Model, represent and explain division as sharing equally, repeated subtraction and rectangular arrays.
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K
Meaning of Operations
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K.1.J.12
Partition or share a small set of objects into groups of equal size; e.g., sharing 6 stickers equally among 3 children.
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K.1.K
Demonstrate fluency in addition facts with addends through 9 and corresponding subtractions.
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K
Number and Number Systems
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K.1.K.8
Represent and use whole numbers in flexible ways, including relating, composing and decomposing numbers; e.g., 5 marbles can be 2 red and 3 green or 1 red and 4 green.
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K.1.L
Demonstrate fluency in adding and subtracting multiples of 10, and recognize combinations that make 10.
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K.1.M
Add and subtract two-digit numbers with and without regrouping.
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K.2
Measurement
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K.2.A
Explain the need for standard units of measure.
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K.2.B
Select appropriate units for length, weight, volume (capacity) and time, using:
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K
Measurement Units
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K.2.B.1
Identify units of time (day, week, month, year) and compare calendar elements; e.g., weeks are longer than days.
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K
Use Measurement Techniques and Tools
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K.2.B.2
Compare and order objects of different lengths, areas, weights and capacities; and use relative terms, such as longer, shorter, bigger, smaller, heavier, lighter, more and less.
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K.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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K
Measurement Units
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K.2.C.1
Identify units of time (day, week, month, year) and compare calendar elements; e.g., weeks are longer than days.
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K
Use Measurement Techniques and Tools
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K.2.C.2
Compare and order objects of different lengths, areas, weights and capacities; and use relative terms, such as longer, shorter, bigger, smaller, heavier, lighter, more and less.
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K.2.C.4
Order events based on time. For example:
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K.2.C.4.a
activities that take a long or short time;
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K.2.C.4.b
review what we do first, next, last;
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K.2.C.4.c
recall what we did or plan to do yesterday, today, tomorrow.
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K.2.D
Apply measurement techniques to measure length, weight and volume (capacity).
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K
Use Measurement Techniques and Tools
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K.2.D.3
Measure length and volume (capacity) using uniform objects in the environment. For example, find:
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K.2.D.3.a
how many paper clips long is a pencil;
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K.2.D.3.b
how many small containers it takes to fill one big container using sand, rice, beans.
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K.2.E
Recognize that using different units of measurement will yield different numbers for the same measurement.
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K.3
Geometry and Spatial Sense
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K.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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K.3.B
Describe solid objects: cube, rectangular prism, sphere, cylinder, cone and pyramid, and identify them in the environment.
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K.3.C
Sort and compare two-dimensional figures and three-dimensional objects according to their characteristics and properties.
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K
Characteristics and Properties
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K.3.C.1
Identify and sort two- dimensional shapes and three- dimensional objects. For example:
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K.3.C.1.a
Identify and describe two-dimensional figures and three-dimensional objects from the environment using the child's own vocabulary
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K.3.C.1.b
Sort shapes and objects into groups based on student-defined categories.
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K.3.C.1.c
Select all shapes or objects of one type from a group.
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K.3.C.1.d
Build two-dimensional figures using paper shapes or tangrams; build simple three-dimensional objects using blocks.
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K.3.D
Identify, explain and model (superposition, copying) the concept of shapes being congruent and similar.
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K.3.E
Recognize two- and three-dimensional objects from different positions.
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K.3.F
Describe location, using comparative (before, after), directional (above, below), and positional (first, last) words.
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K
Spatial Relationships
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K.3.F.2
Name and demonstrate the relative position of objects as follows:
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K.3.F.2.a
place objects over, under, inside, outside, on, beside, between, above, below, on top of, upside-down, behind, in back of, in front of;
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K.3.F.2.b
describe placement of objects with terms such as on, inside, outside, above, below, over, under, beside, between, in front of, behind.
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K.3.G
Identify and draw figures with line symmetry.
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K.4
Patterns, Functions and Algebra
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K.4.A
Sort, classify and order objects by size, number and other properties, and describe the attributes used.
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K
Use Patterns, Relations and Functions
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K.4.A.1
Sort, classify and order objects by size, number and other properties. For example:
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K.4.A.1.a
Identify how objects are alike and different.
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K.4.A.1.b
Order three events or objects according to a given attribute, such as time or size.
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K.4.A.1.c
Recognize and explain how objects can be classified in more than one way.
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K.4.A.1.d
Identify what attribute was used to sort groups of objects that have already been sorted.
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K.4.B
Extend sequences of sounds and shapes or simple number patterns, and create and record similar patterns.
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K
Use Patterns, Relations and Functions
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K.4.B.2
Identify, create, extend and copy sequences of sounds (such as musical notes), shapes (such as buttons, leaves or blocks), motions (such as hops or skips), and numbers from 1 to 10.
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K.4.C
Create and extend patterns, and describe the rule in words.
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K
Use Patterns, Relations and Functions
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K.4.C.3
Describe orally the pattern of a given sequence.
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K.4.D
Model problem situations, using objects, pictures, numbers and other symbols.
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K
Use Algebraic Representations
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K.4.D.4
Model a problem situation using physical materials.
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K.4.E
Solve open sentences and explain strategies.
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K.4.F
Represent an unknown quantity as a variable using a symbol, such as "square", "triangle", "circle".
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K.4.G
Describe and compare qualitative and quantitative change.
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K.5
Data Analysis and Probability
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K.5.A
Pose questions and gather data about everyday situations and familiar objects.
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K
Data Collection
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K.5.A.1
Gather and sort data in response to questions posed by teacher and students; e.g., how many sisters and brothers, what color shoes.
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K.5.B
Sort and classify objects by attributes, and organize data into categories in a simple table or chart.
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K
Data Collection
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K.5.B.2
Arrange objects in a floor or table graph according to attributes, such as use, size, color, or shape.
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K
Statistical Methods
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K.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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K.5.C
Represent data using objects, picture graphs and bar graphs.
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K.5.D
Describe the probability of chance events as more, less or equally likely to occur.
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K.6
Mathematical Processes
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K.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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K.6.B
Identify and restate in own words the question or problem and the information needed to solve the problem.
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K.6.C
Generate alternative strategies to solve problems.
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K.6.D
Evaluate the reasonableness of predictions, estimations and solutions.
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K.6.E
Explain to others how a problem was solved.
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K.6.F
Draw pictures and use physical models to represent problem situations and solutions.
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K.6.G
Use invented and conventional symbols and common language to describe a problem situation and solution.
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K.6.H
Recognize the mathematical meaning of common words and phrases, and relate everyday language to mathematical language and symbols.
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K.6.I
Communicate mathematical thinking by using everyday language and appropriate mathematical language.
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