Mathematics
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
Multiplication
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
Division