Our math curriculum is Eureka Math, which is based on the NYS Next Generation Mathematics Learning Standards. The second grade curriculum is divided into eight units (aka modules) as shown below.
Module 1: Sums & Differences to 100
"Module 1 sets the foundation for students to master sums and differences to 20. Students subsequently apply these skills to fluently add one-digit to two-digit numbers at least through 100 using place value understanding, properties of operations, and the relationship between addition and subtraction."
Module 2: Addition & Subtraction of Length Units
"In module 2, students engage in activities designed to deepen their conceptual understanding of measurement and to relate addition and subtraction to length. Their work in Module 2 is exclusively with metric units in order to support place value concepts. Customary units are introduced in Module 7."
Module 3: Place Value, Counting, and Comparison of Numbers to 1,000
"In module 3, students expand their skill with and understanding of units by bundling ones, tens, and hundreds up to a thousand with straws. Unlike the length of 10 centimeters in Module 2, these bundles are discrete sets...
in this module, instruction includes a great deal of counting: by ones, tens, and hundreds...
In this module, the place value story has advanced. Along with changing 10 ones for 1 ten, students now also change 10 tens for 1 hundred. This changing leads to the use of counting strategies to solve word problems"
Module 4: Addition and Subtraction Within 200 with Word Problems to 100
"Module 4 is devoted to three major areas of work. The first two are building fluency in two-digit addition and subtraction within 100 and applying that fluency to one- and two-step word problems of varying types within 100. Students’ increasing fluency with calculations within 100 allows for word problems to transition from being mere contexts for calculation into opportunities for students to see and analyze the relationships between quantities...
The final lessons of Module 3 (finding 1 more, 1 less, 10 more, 10 less) transition into mental addition and subtraction of 1 and 10...
This knowledge is then extended and used to solve problems."
Module 5: Addition and Subtraction Within 1,000 with Word Problems to 100
"In Module 5, students build upon their mastery of renaming place value units and extend their work with conceptual understanding of the addition and subtraction algorithms to numbers within 1,000, always with the option of modeling with materials or drawings. Throughout the module, students continue to focus on strengthening and deepening conceptual understanding and fluency."
Module 6: Foundations of Multiplication and Division
"Module 6 lays the conceptual foundation for multiplication and division in Grade 3 and for the idea that numbers other than 1, 10, and 100 can serve as units."
Students work on forming equal groups and creating arrays with equal groups. They use rectangular arrays as a foundation for multiplication and division and explore the meaning of odd and even numbers.
Module 7: Problem Solving with Length, Money, and Data
"Module 7 presents an opportunity for students to practice addition and subtraction strategies within 100 and problem-solving skills as they learn to work with various types of units within the contexts of length, money, and data. Students represent categorical and measurement data using picture graphs, bar graphs, and line plots. They revisit measuring and estimating length from Module 2 but now use both metric and customary units."