**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 Operationsâ€”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 Operationsâ€”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