Mathematics
Operations
Kindergarten
First Grade
Second Grade
Third Grade
Fourth Grade
Fifth Grade
Number and Operations in Base 10
Work with numbers 11-19 to gain foundations for place value.
Operations & Algebraic Thinking
Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.
Number and Operations in Base Ten
Use place value understanding and properties of operations to add and subtract.
Understand place value.
Extend the counting sequence.
Operations & Algebraic Thinking
Represent and solve problems involving addition and subtraction.
Understand and apply properties of operations and the relationship between addition and subtraction.
Add and subtract within 20.
Work with addition and subtraction equations.
Operations and Algebraic Thinking
Work with equal groups of objects to gain foundations for multiplication.
Add and subtract within 20.
Represent and solve problems involving addition and subtraction.
Number and Operations in Base Ten
Understand place value.
Use place value understanding and properties of operations to add and subtract.
Number and Operations - Fractions
Develop understanding of fractions as numbers.
Operations and Algebraic Thinking
Multiply and divide within 100.
Represent and solve problems involving multiplication and division.
Understand properties of multiplication and the relationship between multiplication and division.
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.¹
Number and Operations - Fractions
Understand decimal notation for fractions, and compare decimal fractions.
Extend understanding of fraction equivalence and ordering.
Build fractions from unit fractions.
Operations and Algebraic Thinking
Generate and analyze patterns.
Use the four operations with whole numbers to solve problems.
Gain familiarity with factors and multiples.
Number and Operations in Base 10
Generalize place value understanding for multi-digit whole numbers.
Use place value understanding and properties of operations to perform multi-digit arithmetic.
Number and Operations - Fractions
Apply and extend previous understandings of multiplication and division.
Use equivalent fractions as a strategy to add and subtract fractions.
Operations and Algebraic Thinking
Write and interpret numerical expressions.
Analyze patterns and relationships.
Number and Operations in Base Ten
Understand the place value system.
Perform operations with multi-digit whole numbers and with decimals to hundredths.