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Kindergarten

Mathematical Content Standards

Section 1 – Foundational Counting Principles and Skills

Power Standards

Power Standards

  • #1: Know number names and the count sequence (to 100 by ones and 10s; forward from a given number). (K.CC.1-2)
  • #2: Count to tell the number of objects (as many as 20 things arranged orderly, 10 things scattered; count out up to 20 objects; write a numeral to represent the number of objects in a set (up to 20)). (K.CC.3-5)
  • #4: Understand addition as putting together and adding to, and subtraction as taking apart and taking from (add and subtract within 10 using models, decompose 10 into pairs within 10, use objects and drawings to find complement of 1-9 to make 10). (K.O.A.1-5)
  • #5: Directly compare two objects with a measurable attribute (e.g., length, weight) in common, to see which object has “more of” / “less of” the attribute, and describe the difference. (K.MD.2)
  • #6: Identify shapes by name and classify as 2-dimensional (“flat”) or 3-dimensional (“solid”) (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres). (K.G.1-3)
Concepts and Skills

Concepts and Skills

Number:

  • Count objects with one-to-one correspondence
  • Read numbers
  • Understand the cardinal principle
  • Count by 1s
  • Count out a given number of objects
  • Count groups of arranged objects
  • Decompose numbers in more than one way

Measurement:

  • Compare measurable attributes of objects directly

Geometry:

  • Name 2-D shapes
  • Analyze and describe 2-D shapes

Data:

  • Classify, count, and order categories by count

Section 2 – Naming and Describing Shapes; Counting

Power Standards

Power Standards

  • #2: Count to tell the number of objects (as many as 20 things arranged orderly, 10 things scattered; count out up to 20 objects; write a numeral to represent the number of objects in a set (up to 20)). (K.CC.3-5)
  • #3: Compare numbers (groups of objects, numerals up to 10). (K.CC.6-7)
  • #4: Understand addition as putting together and adding to, and subtraction as taking apart and taking from (add and subtract within 10 using models, decompose 10 into pairs within 10, use objects and drawings to find complement of 1-9 to make 10). (K.O.A.1-5)
  • #6: Identify shapes by name and classify as 2-dimensional (“flat”) or 3-dimensional (“solid”) (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres). (K.G.1-3)
Concepts and Skills

Concepts and Skills

Number/Operations:

  • Compare groups by number of objects
  • Understand the successor function
  • Represent addition and subtraction concretely or verbally
  • Decompose numbers in more than one way
  • Count groups of scattered objects
  • Solve number stories and problems involving addition and subtraction

Geometry:

  • Name 2-D shapes

Data:

  • Classify, count, and order categories by count

 

Section 3: Reading, Writing, and Using Numbers; Making Comparisons

Power Standards

Power Standards

  • #2: Count to tell the number of objects (as many as 20 things arranged orderly, 10 things scattered; count out up to 20 objects; write a numeral to represent the number of objects in a set (up to 20)). (K.CC.3-5)
  • #3: Compare numbers (groups of objects, numerals up to 10). (K.CC.6-7)
  • #4: Understand addition as putting together and adding to, and subtraction as taking apart and taking from (add and subtract within 10 using models, decompose 10 into pairs within 10, use objects and drawings to find complement of 1-9 to make 10). (K.O.A.1-5)
  • #5: Directly compare two objects with a measurable attribute (e.g., length, weight) in common, to see which object has “more of” / “less of” the attribute, and describe the difference. (K.MD.2)
  • #6: Identify shapes by name and classify as 2-dimensional (“flat”) or 3-dimensional (“solid”) (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres). (K.G.1-3)
Concepts and Skills

Concepts and Skills

Number/Operations:

  • Find number pairs that add to 10
  • Understand conservation of number
  • Understand the successor function
  • Read and write numbers
  • Represent quantities with numerals
  • Compare numbers as written numerals

Data:

  • Classify, count, and order categories by count

Geometry:

  • Analyze and describe 2-D shapes
  • Describe the positions of objects in the environment

 

Measurement:

  • Compare measurable attributes of objects directly

 

Section 4: Advanced Counting; Composing/Decomposing Numbers and Shapes; Measurable Attributes

Power Standards

Power Standards

  • #1: Know number names and the count sequence (to 100 by ones and 10s; forward from a given number). (K.CC.1-2)
  • #2: Count to tell the number of objects (as many as 20 things arranged orderly, 10 things scattered; count out up to 20 objects; write a numeral to represent the number of objects in a set (up to 20)). (K.CC.3-5)
  • #3: Compare numbers (groups of objects, numerals up to 10). (K.CC.6-7)
  • #4: Understand addition as putting together and adding to, and subtraction as taking apart and taking from (add and subtract within 10 using models, decompose 10 into pairs within 10, use objects and drawings to find complement of 1-9 to make 10). (K.O.A.1-5)
  • #5: Directly compare two objects with a measurable attribute (e.g., length, weight) in common, to see which object has “more of” / “less of” the attribute, and describe the difference. (K.MD.2)
Concepts and Skills

Concepts and Skills

Number:

  • Represent quantities with numerals
  • Read numbers
  • Compare numbers as written numerals
  • Count by 10s
  • Decompose numbers in more than one way
  • Count on from numbers other than 1

Data:

  • Classify, count, and order categories by count

Geometry:

  • Analyze and describe 2-D shapes
  • Compose shapes from other shapes

Measurement:

  • Compare measurable attributes of objects directly

 

Section 5: Exploring Teen Numbers

Power Standards

Power Standards

  • #1: Know number names and the count sequence (to 100 by ones and 10s; forward from a given number). (K.CC.1-2)
  • #2: Count to tell the number of objects (as many as 20 things arranged orderly, 10 things scattered; count out up to 20 objects; write a numeral to represent the number of objects in a set (up to 20)). (K.CC.3-5)
  • #3: Compare numbers (groups of objects, numerals up to 10). (K.CC.6-7)
  • #4: Understand addition as putting together and adding to, and subtraction as taking apart and taking from (add and subtract within 10 using models, decompose 10 into pairs within 10, use objects and drawings to find complement of 1-9 to make 10). (K.O.A.1-5)
  • #6: Identify shapes by name and classify as 2-dimensional (“flat”) or 3-dimensional (“solid”) (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres). (K.G.1-3)
Concepts and Skills

Concepts and Skills

Number/Operations:

  • Count by 10s
  • Solve number stories and problems involving addition and subtraction
  • Find number pairs that add to 10
  • Partition and represent numbers 11-19 as ten ones and some more tens
  • Compare groups by number of objects
  • Represent addition with words, objects, and symbols
  • Write numbers

Geometry:

  • Model shapes in the world
  • Identify 2-D shapes in the environment
  • Compose shapes from other shapes

 

Section 6: Exploring 3-D Shapes and Measurable Attributes; Representing Addition and Subtraction

Power Standards

Power Standards

  • #4: Understand addition as putting together and adding to, and subtraction as taking apart and taking from (add and subtract within 10 using models, decompose 10 into pairs within 10, use objects and drawings to find complement of 1-9 to make 10). (K.O.A.1-5)
  • #5: Directly compare two objects with a measurable attribute (e.g., length, weight) in common, to see which object has “more of” / “less of” the attribute, and describe the difference. (K.MD.2)
  • #6: Identify shapes by name and classify as 2-dimensional (“flat”) or 3-dimensional (“solid”) (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres). (K.G.1-3)
Concepts and Skills

Concepts and Skills

Measurement:

  • Compare measurable attributes of objects directly
  • Describe measurable attributes of objects

Data:

  • Classify, count, and order categories by count

Geometry:

  • Compare 3-D shapes
  • Identify shapes as 2-D or 3-D

Number/Operations:

  • Find number pairs that add to 10
  • Represent addition and subtraction with words, objects, numerals and symbols

 

Section 7: Addition and Subtraction Strategies; Expanding Number Sense

Power Standards

Power Standards

  • #1: Know number names and the count sequence (to 100 by ones and 10s; forward from a given number). (K.CC.1-2)
  • #2: Count to tell the number of objects (as many as 20 things arranged orderly, 10 things scattered; count out up to 20 objects; write a numeral to represent the number of objects in a set (up to 20)). (K.CC.3-5)
  • #3: Compare numbers (groups of objects, numerals up to 10). (K.CC.6-7)
  • #4: Understand addition as putting together and adding to, and subtraction as taking apart and taking from (add and subtract within 10 using models, decompose 10 into pairs within 10, use objects and drawings to find complement of 1-9 to make 10). (K.O.A.1-5)
  • #5: Directly compare two objects with a measurable attribute (e.g., length, weight) in common, to see which object has “more of” / “less of” the attribute, and describe the difference. (K.MD.2)
  • #6: Identify shapes by name and classify as 2-dimensional (“flat”) or 3-dimensional (“solid”) (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres). (K.G.1-3)
Concepts and Skills

Concepts and Skills

Number/Operations:

  • Count on from numbers other than 1
  • Represent addition and subtraction with numerals and symbols
  • Decompose numbers in more than one way
  • Partition and represent numbers 11-19 as ten ones and some more tens
  • Compare groups by number
  • Record decompositions of numbers
  • Solve number stories and problems involving addition and subtraction
  • Count groups of scattered objects
  • Add within 5 fluently

Geometry:

  • Identify shapes as 2-D or 3-D

Measurement:

  • Describe measurable attributes of objects
  • Compare measurable attributes of objects directly

Data:

  • Classify, count, and order categories by count

 

Section 8: Numbers that Add to 10; Easy Fact Fluency

Power Standards

Power Standards

  • #1: Know number names and the count sequence (to 100 by ones and 10s; forward from a given number). (K.CC.1-2)
  • #3: Compare numbers (groups of objects, numerals up to 10). (K.CC.6-7)
  • #4: Understand addition as putting together and adding to, and subtraction as taking apart and taking from (add and subtract within 10 using models, decompose 10 into pairs within 10, use objects and drawings to find complement of 1-9 to make 10). (K.O.A.1-5)
Concepts and Skills

Concepts and Skills

Geometry:

  • Analyze and describe 3-D shapes
  • Model shapes in the world

Number/Operations:

  • Count by 1s
  • Count on from numbers other than 1
  • Add and subtract within 5 fluently
  • Partition and represent numbers 11-19 as ten ones and some more tens
  • Find number pairs that add to 10
  • Solve number stories and problems involving addition and subtraction
  • Compare numbers as written numerals
  • Record decompositions of numbers

 

Section 9: Measurement and Spatial Thinking

Power Standards

Power Standards

  • #3: Compare numbers (groups of objects, numerals up to 10). (K.CC.6-7)
  • #4: Understand addition as putting together and adding to, and subtraction as taking apart and taking from (add and subtract within 10 using models, decompose 10 into pairs within 10, use objects and drawings to find complement of 1-9 to make 10). (K.O.A.1-5)
  • #5: Directly compare two objects with a measurable attribute (e.g., length, weight) in common, to see which object has “more of” / “less of” the attribute, and describe the difference. (K.MD.2)
  • #6: Identify shapes by name and classify as 2-dimensional (“flat”) or 3-dimensional (“solid”) (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres). (K.G.1-3)
Concepts and Skills

Concepts and Skills

Number/Operations:

  • Subtract within 5 fluently
  • Solve number stories and problems involving addition and subtraction
  • Represent addition with numerals and symbols
  • Compare numbers as written numerals
  • Develop strategies for addition and subtraction facts
  • Find number pairs that add to 10
  • Record decompositions of numbers

Geometry:

  • Describe the positions of objects in the environment
  • Model shapes in the world

Measurement:

  • Compare measurable attributes of objects directly
  • Describe measurable attributes of objects