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
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 multidigit 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
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 multidigit whole numbers.
 Use place value and properties of operations to do multidigit 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
