SECOND GRADE
Operations and Algebraic Thinking
  • Represent and solve problems involving addition and subtraction
  • Add and subtract within 20
  • Work with equal groups of objects to gain foundations for multiplication
Number and Operations in Base Ten
  • Understand place value
  • Use place value understanding and properties of operations to add and subtract
Measurement and Data
  • Measure and estimate lengths in standard units
  • Relate addition and subtraction to length
  • Work with time and money
  • Represent and interpret data
Geometry
  • Reason with shapes and their attributes
Basic Fact Fluency
  • Addition
  • Subtraction

THIRD GRADE
Operations and Algebraic Thinking
  • Represent and solve problems involving multiplication and division
  • Understand properties of multiplication and the relationship between multiplication and division
  • Multiply and divide within 100
  • Solve problems involving the four operations, and identify and explain patterns in arithmetic
Number and Operations in Base Ten
  • Use place value understanding and properties of operations to perform multi-digit arithmetic
Number and Operations—Fractions
  • Develop understanding of fractions as numbers
Measurement and Data
  • 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
  • Geometric measurement: recognize perimeter as an attribute of plane figures and distinguish between linear and area measures
Geometry
  • Reason with shapes and their attributes
Basic Fact Fluency
  • Addition
  • Subtraction

FOURTH GRADE

Operations and Algebraic Thinking    

  • Use the four operations with whole numbers to solve problems. 
  • Gain familiarity with factors and multiples.
  • Generate and analyze patterns.
Number and Operations in Base Ten
  • Generalize place value understanding for multi-digit whole numbers.
  • Use place value and properties of operations to do multi-digit arithmetic.
Number and Operations—Fractions
  • Extend understanding of fraction equivalence and ordering.
  • Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
  • Understand decimal notation for fractions, and compare decimal fractions.
Measurement and Data
  • Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.
  • Represent and interpret data.
  • Geometric measurement: understand concepts of angle and measure angles.
Geometry
  • Draw and identify lines and angles, and classify shapes by their properties.
Basic Fact Fluency
  • Multiplication and Division