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Mathematical Domains

The table below illustrates the progression of each domain from Infant Toddler through 3rd Grade. Click on the different sections for more specific information.

Infant Toddler

Number Sense

Preschool

Number Sense

Understanding numbers and quantities

Number Sense

Understanding number relationships and quantities

TK / K

Counting and Cardinality

Know number names and count sequence

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Count to tell the number of objects

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Compare numbers

1st - 3rd Grades

Develop understanding of fractions and numbers

Number & Operations

Fractions - Grade 3

Understanding addition as putting together and adding to

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Understanding subtraction as taking apart and taking from

Operations & Algebraic Thinking

Operations & Algebraic Thinking - Grade 1

Represent and solve problems involving addition and subtraction

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Understand and apply properties of operations and the relationship between addition and subtraction.

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Add and subtract within 20

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Work with addition and subtraction equations

Represent and solve problems involving addition and subtraction

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Understand and apply properties of operations and the relationship between addition and subtraction.

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Add and subtract within 20

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Work with addition and subtraction equations

Operations & Algebraic Thinking - Grade 1

Represent and solve problems involving additiona and subtraction

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Add and subtract within 20

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Work with equal groups of objects to gain foundations for multiplication

Operations & Algebraic Thinking - Grade 2

Represent and solve problems involving multiplication and division

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Understand properties of multiplication and the relationship between multiplication and division

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Multiply and divide within 100

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Solve problems involving the four operations, and identify and explain patterns in arithmetic

Operations & Algebraic Thinking - Grade 3

Work with numbers 11 - 19 as a foundation for place value

Number and Operations in Base Ten

Number and Operations in Base Ten - Grade 1

Extend the counting sequence

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Understand place value

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USe place value understanding and properties of operations to add and subtract

Understanding place value

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Use place value understanding and properties of operations to add and subtract

Number and Operations in Base Ten - Grade 2

Use place value understanding and properties of operations to perform multi-digit arithmetic

Number and Operations in Base Ten - Grade 3

Infant Toddler

Classification

Infant Toddler

Patterns and Routines

Preschool

Classification and Patterning

Sort and classify objects

Preschool

Classification and Patterning

Recognize simple repeating patterns

TK / K

Measurement and Data

Classify objects

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Count the number of objects in categories

1st - 3rd Grades

1st - 3rd Grades

Measurement and Data

- Grade 1

Tell and write time in hours and half hours

Work with time to the nearest 5 minutes and money

Measurement and Data

- Grade 2

Tell time to the nearest minute

Measurement and Data

- Grade 3

Infant Toddler

Spatial Relationships

Preschool

Measurement

Measure objects

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Compare and Order Objects

TK / K

Describe measurable attributes

Measurement and Data

1st - 3rd Grades

Measurement and Data

- Grade 1

Measure lengths indirectly and by iterating length units.

 

Represent and interpret data.

Measurement and Data

- Grade 2

Measure and estimate lengths in standard units.

 

Relate addition and subtraction to length.

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Represent and interpret data.

Measurement and Data

- Grade 3

Solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects.

 

Represent and interpret data.

 

Geometric measurement: understand concepts of area and relate area to multiplication and to addition.

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Geometric measurement: recognize perimeter as an attribute of plane figures and distinguish between linear and area measures.

Infant Toddler

Spatial Relationships with Geometry

Preschool

Identify and use shapes

 

Understand positions in space

Geometry

TK / K

Geometry

Identify and describe shapes

 

Analyze, compare, create and compose shapes

1st - 3rd Grades

Reason with shapes and their attributes.

Geometry - Grade 1

Reason with shapes and their attributes.

Geometry - Grade 2

Reason with shapes and their attributes.

Geometry - Grade 3

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