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K-2.1
Number and Operations
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K-2.1.1
Count, represent, read, compare, order and conserve (knows that the total number does not change when configured differently) whole numbers.
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K-2.1.1.1
Count, represent, read, compare, order, and conserve whole numbers up to 1000.
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Numbers and counting up to 3: Count to 3 (Kindergarten - A.1)
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Numbers and counting up to 3: Represent numbers - up to 3 (Kindergarten - A.2)
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Numbers and counting up to 3: Count by typing - up to 3 (Kindergarten - A.3)
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Numbers and counting up to 5: Count to 5 (Kindergarten - B.1)
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Numbers and counting up to 5: Represent numbers - up to 5 (Kindergarten - B.2)
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Numbers and counting up to 5: Count by typing - up to 5 (Kindergarten - B.3)
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Numbers and counting up to 5: Count up (Kindergarten - B.4)
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Numbers and counting up to 5: Count down (Kindergarten - B.5)
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Numbers and counting up to 10: Count to 10 (Kindergarten - C.1)
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Numbers and counting up to 10: Represent numbers - up to 10 (Kindergarten - C.2)
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Numbers and counting up to 10: Count by typing - up to 10 (Kindergarten - C.3)
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Numbers and counting up to 10: Count up and down - with pictures (Kindergarten - C.4)
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Numbers and counting up to 10: Count up and down - with numbers (Kindergarten - C.5)
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Numbers and counting up to 10: Tally marks - up to 10 (Kindergarten - C.6)
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Numbers and counting up to 10: Number lines - up to 10 (Kindergarten - C.7)
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Numbers and counting up to 10: Before, after, and between - up to 10 (Kindergarten - C.8)
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Numbers and counting up to 10: Count forward and backward - up to 10 (Kindergarten - C.9)
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Numbers and counting up to 10: Names of numbers - up to 10 (Kindergarten - C.10)
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Numbers and counting up to 10: Complete a sequence - up to 10 (Kindergarten - C.11)
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Numbers and counting up to 20: Count to 20 (Kindergarten - D.1)
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Numbers and counting up to 20: Represent numbers - up to 20 (Kindergarten - D.2)
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Numbers and counting up to 20: Count by typing - up to 20 (Kindergarten - D.3)
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Numbers and counting up to 20: Count up and down (Kindergarten - D.4)
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Numbers and counting up to 20: Tally marks - up to 20 (Kindergarten - D.5)
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Numbers and counting up to 20: Number lines - up to 20 (Kindergarten - D.6)
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Numbers and counting up to 20: Before, after, and between - up to 20 (Kindergarten - D.7)
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Numbers and counting up to 20: Count forward and backward - up to 20 (Kindergarten - D.8)
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Numbers and counting up to 20: Names of numbers - up to 20 (Kindergarten - D.9)
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Numbers and counting up to 20: Complete a sequence - up to 20 (Kindergarten - D.10)
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Numbers and counting up to 20: Count tens and ones - up to 20 (Kindergarten - D.11)
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Numbers and counting beyond 20: Count to 30 (Kindergarten - E.1)
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Numbers and counting beyond 20: Count groups of ten (Kindergarten - E.3)
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Numbers and counting beyond 20: Number lines - up to 30 (Kindergarten - E.4)
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Comparing: Fewer and more - comparing groups (Kindergarten - G.2)
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Comparing: Fewer and more - with charts (Kindergarten - G.3)
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Sorting, ordering, and classifying: Put numbers up to 10 in order (Kindergarten - N.6)
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Sorting, ordering, and classifying: Put numbers up to 30 in order (Kindergarten - N.7)
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Counting and number patterns: Counting review - 0 to 10 (First grade - A.1)
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Counting and number patterns: Counting review - up to 20 (First grade - A.2)
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Counting and number patterns: Counting tens and ones - up to 30 (First grade - A.3)
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Counting and number patterns: Counting - up to 30 (First grade - A.4)
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Counting and number patterns: Counting - up to 100 (First grade - A.5)
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Counting and number patterns: Number lines (First grade - A.10)
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Counting and number patterns: Hundred chart (First grade - A.11)
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Counting and number patterns: Ordinal numbers (First grade - A.16)
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Counting and number patterns: Writing numbers in words (First grade - A.17)
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Comparing: Comparing - review (First grade - G.1)
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Comparing: Comparing numbers up to 10 (First grade - G.2)
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Comparing: Comparing numbers up to 100 (First grade - G.3)
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Sorting, ordering, and classifying: Put numbers in order (First grade - Q.2)
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Counting and number patterns: Counting patterns - up to 100 (Second grade - A.3)
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Counting and number patterns: Number lines - up to 100 (Second grade - A.4)
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Counting and number patterns: Hundreds chart (Second grade - A.5)
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Counting and number patterns: Counting patterns - up to 1,000 (Second grade - A.12)
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Comparing and ordering: Comparing numbers up to 100 (Second grade - B.1)
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Comparing and ordering: Comparing numbers up to 1,000 (Second grade - B.3)
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Comparing and ordering: Put numbers up to 100 in order (Second grade - B.4)
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Comparing and ordering: Put numbers up to 1,000 in order (Second grade - B.5)
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Comparing and ordering: Greatest and least - word problems - up to 1,000 (Second grade - B.7)
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Names of numbers: Ordinal numbers up to 10th (Second grade - C.1)
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Names of numbers: Ordinal numbers up to 100th (Second grade - C.2)
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Names of numbers: Writing numbers up to 100 in words (Second grade - C.3)
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Names of numbers: Writing numbers up to 1,000 in words (Second grade - C.4)
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K-2.1.1.2
Write, compare, and order numbers to at least 120 using the words equal to, greater than, less than, greatest, and least when appropriate.
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K-2.1.1.3
Count by tens or hundreds, forwards and backwards, starting at any number from 1 to 1000.
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K-2.1.1.4
Represent numbers to at least 1000 in different way using written words, numerals, or models, and translate among representations.
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K-2.1.1.5
Identify the placement and relationships between digits and their values in numbers up to 1000.
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K-2.1.2
Develop understandings of addition and subtraction and strategies for basic addition facts and related subtraction facts.
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K-2.1.2.1
Solve and create story problems that match addition or subtraction expressions or equations using physical objects, pictures, or words.
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K-2.1.2.2
Solve simple story problems (result unknown) involving joining, separating, and grouping situations.
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K-2.1.2.3
Solve story problems involving joining, separating, comparing, grouping, and partitioning using a variety of strategies, such as direct modeling with objects or pictures, counting on and counting back, and using related facts and known facts.
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K-2.1.2.4
Add and subtract two-digit numbers efficiently and accurately using a procedure that can be generalized, including the standard algorithm and describe why the procedure works.
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K-2.1.3
Express numbers as equivalent representations to fluently compose and decompose numbers (putting together and taking apart).
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K-2.1.3.1
Fluently compose (put together) and decompose (take apart) numbers at least to 10.
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K-2.1.3.2
Compose and decompose two- and three-digit numbers based on the values of the digits used to write the number.
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K-2.1.3.3
Solve word problems involving joining, separating, part/whole, comparing, grouping, and partitioning, using a variety of strategies, such as direct modeling, counting up or counting back by 1s or 10s, and deriving or recalling facts. (The unknown can appear in a variety of positions).
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K-2.1.4
Develop fluency and quick recall of addition facts and related subtraction facts and fluency with multi-digit addition and subtraction.
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K-2.1.4.1
Show the inverse relationship between addition and subtraction by using physical models, diagrams, and/or acting-out situations.
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K-2.1.4.2
Explain and use strategies for understanding addition facts for sums equal to at least 10, and related subtraction facts.
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K-2.1.4.3
Develop and demonstrate quick recall of basic addition facts to 20 and related subtraction facts.
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K-2.1.4.4
Solve word problems involving joining, separating, part/whole, comparing, grouping, and partitioning, using a variety of strategies, such as direct modeling, counting up or counting back by 1s or 10s, and deriving or recalling facts. (The unknown can appear in a variety of positions).
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K-2.1.5
Estimate the answer to an addition or subtraction problem before computing, and determine whether the computed answer makes sense.
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K-2.1.5.1
Determine whether the computed answer to an addition or subtraction problem is reasonable.
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K-2.1.5.2
Estimate an answer prior to computing. (For example, 23 + 48 is about 70.)
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K-2.1.6
Develop an understanding of whole number relationships, including grouping in tens and ones and apply place-value concepts.
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K-2.1.6.1
Group and count objects by 2s, 5s, and 10s.
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K-2.1.6.2
Find a number that is 10 more or 10 less than a given number.
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K-2.1.6.3
Group numbers into 10s and 1s in more than one way and explain why the total remains the same.
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K-2.1.6.4
Explain and use strategies for remembering addition and subtraction facts to 20.
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K-2.1.6.5
Use mental strategies, invented algorithms, and traditional algorithms based on knowledge of place value to add and subtract two-digit numbers.
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K-2.1.7
Understand fractional parts are equal shares or equal portions of a whole unit (a unit can be an object or a collection of things).
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K-2.1.7.1
Understand and represent commonly used fractions, such as 1/4, 1/3, and 1/2.
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K-2.2
Algebra
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K-2.2.1
Recognize, describe, create and extend repeating and growing patterns such as physical, geometric and numeric patterns and translate from one representation to another.
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K-2.2.1.1
Recognize, describe, create and extend color, rhythmic, shape, number and letter repeating patterns with simple attributes.
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K-2.2.1.2
Identify a missing element in a pattern.
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K-2.2.1.3
Make a generalization that patterns can translate from one representation to another.
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K-2.2.1.4
Recognize, describe, create and extend repeating and growing patterns.
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K-2.2.1.5
Translate a pattern between sound, symbols, movements and objects.
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K-2.2.1.6
Identify, create, describe, and extend simple number and growing patterns, involving repeated addition and subtraction, skip counting and arrays of objects.
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K-2.2.1.7
Use patterns to solve problems in various contexts.
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K-2.2.2
Sort, classify, and order objects by size, number and other properties.
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K-2.2.2.1
Sort and a classify objects by a single attribute and explain the sorting rule.
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K-2.2.2.2
Sort and a classify objects by multiple attributes and explain the sorting rule (sort and classify the same set of objects in multiple ways and explain the various sorting rules.).
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K-2.2.2.3
Sort and classify a set of objects using a Venn diagram.
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K-2.2.3
Demonstrate the use of the commutative and associative properties and mathematical reasoning to solve for the unknown quantity in addition and subtraction problems; justify the solution.
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K-2.2.3.1
Solve, with objects, simple problems involving joining and separating.
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K-2.2.3.2
Develop concepts of addition and subtraction (including commutativity and associativity of addition) using mathematical tools (objects, number line, hundreds chart, etc.), pictures, and mathematical notation.
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K-2.2.3.3
Use commutative and associative properties and mathematical reasoning to solve a variety of addition and subtraction problems involving two or more one-digit numbers; justify the solution.
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K-2.2.4
Understand equality as meaning "the same as" and use the = symbol appropriately.
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K-2.2.4.1
Recognize the use of symbols to represent mathematical ideas in joining and separating problems.
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K-2.2.4.2
Determine if equations involving addition and subtraction are true.
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K-2.2.4.3
Demonstrate an understanding that the "=" sign means "the same as" by solving open number sentences including those with variables.
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K-2.2.4.4
Write number sentences using mathematical notation (+, =, -, <, >, and variables) to represent mathematical relationships to solve problems.
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K-2.2.4.5
Solve equations in which the unknown and the equal sign appear in a variety of positions.
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K-2.2.4.6
Use number sentences involving addition and subtraction, and unknowns to represent and solve given problem situations.
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K-2.3
Geometry
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K-2.3.1
Recognize and describe shapes and structures in the physical environment.
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K-2.3.1.1
Identify, name, sort, and describe two- and three-dimensional shapes (including circles, triangles, rectangles, squares, cubes, and spheres), and real-world approximations of the shapes, regardless of size or orientation.
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K-2.3.2
Compose and decompose geometric shapes, including plane and solid figures to develop a foundation for understanding area, volume, fractions, and proportions.
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K-2.3.2.1
Compose (combine) and decompose (take apart) two- and three-dimensional figures and analyze the results.
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K-2.3.2.2
Compose and decompose two- and three-dimensional shapes to develop a foundation of fractional relationships and proportions.
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K-2.3.2.3
Cover two-dimensional objects with shapes to develop a foundation for area.
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K-2.3.2.4
Fill three-dimensional objects to develop a foundation for volume.
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K-2.3.3
Identify, name, sort, and describe two- and three-dimensional geometric figures regardless of size or orientation.
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K-2.3.3.1
Describe characteristics of two- and three-dimensional objects (number of corners, edges, and sides, length of sides, etc.).
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Geometry: Count sides and corners (Kindergarten - S.5)
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Geometry: Compare sides and corners (Kindergarten - S.6)
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Geometry: Count sides and vertices (First grade - J.5)
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Geometry: Count edges, vertices, and faces (First grade - J.6)
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Geometry: Compare sides and vertices (First grade - J.7)
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Geometry: Compare edges, vertices, and faces (First grade - J.8)
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Geometry: Open and closed shapes (First grade - J.9)
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Geometry: Compare sides, vertices, edges, and faces (Second grade - T.2)
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Geometry: Count sides, vertices, edges, and faces (Second grade - T.3)
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K-2.3.4
Describe and specify space and location with simple relationships and with coordinate systems.
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K-2.3.4.1
Describe the location of one object relative to another object using words such as in, out, over, under, above, below, between, next to, behind, and in front of.
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Positions: Inside and outside (Kindergarten - K.1)
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Positions: Left, middle, and right (Kindergarten - K.2)
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Positions: Top, middle, and bottom (Kindergarten - K.3)
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Positions: Above and below (Kindergarten - K.4)
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Spatial sense: Left, middle, and right (First grade - K.1)
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Spatial sense: Above, below, top, middle, and bottom (First grade - K.2)
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K-2.3.4.2
Locate points on maps and simple coordinate grids with letters and numbers.
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K-2.3.4.3
Represent points and simple figures on maps using simple coordinate grids with letters and numbers.
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K-2.3.5
Experience and recognize slides, flips, turns and symmetry to analyze mathematical situations.
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K-2.3.5.1
Identify shapes that have been rotated (turned), reflected (flipped), translated (slid), and enlarged. Describe the direction of the translation (left, right, up, down).
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K-2.3.6
Use attributes of geometric figures to solve spatial problems.
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K-2.3.6.1
Describe and represent shapes from different perspective.
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K-2.3.6.2
Explore relationships of different attributes.
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K-2.3.6.3
Describe geometric shapes in the environment and specify their location.
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K-2.4
Measurement
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K-2.4.1
Identify attributes that are measurable, such as length, weight, time and capacity, and use these attributes to order objects and make direct comparisons.
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K-2.4.1.1
Identify attributes that are measurable such as length, volume, weight, and area. Use these attributes and appropriate language to make direct comparisons. (Taller, shorter, longer, same length; heavier, lighter, same weight; holds more, holds less, holds the same amount).
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K-2.4.1.2
Recognize temporal concepts such as before, after, sooner, later, morning, afternoon, evening.
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K-2.4.1.3
Use a seriated set of objects to order and compare lengths.
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K-2.4.1.4
Recognize that objects used to measure an attribute (length, weight, capacity) must have that attribute and must be consistent in size.
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K-2.4.1.5
Determines the relationship between the size of the unit and the number of units needed to make a measurement.
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K-2.4.2
Estimate, measure and compute measurable attributes while solving problems.
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K-2.4.2.1
Select appropriate measurement tools and units (standard and non-standard) to solve problems.
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K-2.4.3
Estimate and measure length using standard (customary and metric) and non-standard units with comprehension.
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K-2.4.3.1
Understand the necessity for identical units (standard or non-standard) for accurate measurements.
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K-2.4.3.2
Use a variety of non-standard units to measure length without gaps or overlaps.
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K-2.4.3.3
Use non-standard units to compare objects according to their capacities or weights.
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K-2.4.3.4
Associate the time of day with everyday events.
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K-2.4.3.5
Name standard units of time (day, week, month).
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K-2.4.3.6
Use both analog and digital clock to tell time to the hour and half hour.
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K-2.4.3.7
Estimate and measure length using metric and customary units.
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K-2.4.3.8
Select appropriate measurement tools and units (standard and non-standard) to solve problems.
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K-2.4.3.9
Use both analog and digital clock to tell time to the nearest five-minute interval.
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K-2.4.3.10
Describe the relationship among standard units of time: minutes, hours days, weeks, months and years.
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K-2.5
Data Analysis and Probability
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K-2.5.1
Collect, sort, organize, and represent data to ask and answer questions relevant to the K-2 environment.
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K-2.5.1.1
Collect and organize data in lists, tables, and simple graphs.
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K-2.5.1.2
Collect, organize, represent, and interpret data in bar-type graphs, picture graphs, frequency tables, and line plots.
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K-2.5.1.3
Use interviews, surveys, and observations to collect data that answers questions about themselves and their surroundings.
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K-2.5.2
Compare different representations of the same data using these types of graphs: bar graphs, frequency tables, line plots, and picture graphs.
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K-2.5.2.1
Represent a collection of data using tallies, tables, picture graphs and bar graphs.
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K-2.5.2.2
Compare a single data set using different types of graphs.
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K-2.5.3
Use information displayed on graphs to answer questions and make predictions, inferences and generalizations such as likely or unlikely events.
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K-2.5.3.1
Answer simple questions relating to the information displayed on a graph, table, or list.
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K-2.5.3.2
Use interviews, surveys, and observations to collect data that answers questions about themselves and their surroundings.
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K-2.5.3.3
Analyze information by asking and answering questions about the data.
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K-2.5.3.4
Contrast different sets of data displayed on the same type of graph to draw conclusions and make generalizations.
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K-2.5.3.5
Use information from data to make observations and inferences, draw conclusions, and make predictions.
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Probability: More or less likely (Kindergarten - P.1)
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Probability and statistics: More, less, and equally likely (First grade - P.1)
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Probability and statistics: Certain, probable, unlikely, and impossible (First grade - P.2)
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Probability and statistics: More, less, and equally likely (Second grade - V.1)
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Probability and statistics: Certain, probable, unlikely, and impossible (Second grade - V.2)
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