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