# Math

Our mathematics curriculum is based on the Connecticut Core Standards for Mathematics (CCSS-M) that define what students should understand and be able to do by the end of the year at each grade level. The Connecticut Core Standards for Mathematics have two key components:

(1) Standards for Mathematical Practice – eight practices in which students engage at all grade levels

(2) Standards for Mathematical Content - conceptual understandings and procedural knowledge and skills

The Content Standards at each grade level are grouped into domains (e.g. Geometry) and clusters within each domain. Our instructional focus in Grade 2 is on four critical areas: (1) extending understanding of base 10 notation; (2) building fluency with addition and subtraction; (3) using standard units of measure; and (4) describing and analyzing shapes. To provide you with an understanding of your child’s mathematics learning, we have highlighted domains and clusters of standards for Grade 2 below. A comprehensive description of the Connecticut Core Standards for Mathematics is available at http://www.corestandards.org/.

### Mathematical Practices

- Make sense of problems and persevere in solving them.
- Reason abstractly and quantitatively.
- Construct viable arguments and critique the reasoning of others.
- Model with mathematics.
- Use appropriate tools strategically.
- Attend to precision.
- Look for and make use of structure.
- Look for and express regularity in repeated reasoning.

### Key Fluencies

- Add/subtract within 20, knowing from memory all sums of two one-digit numbers.
- Add and subtract within 100, using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.

### Operations and Algebraic Thinking

- Represent and solve problems involving addition and subtraction.
- Use addition and subtraction within 100 to solve one and two-step problems involving adding to, taking from, putting together, taking apart and comparing.
- Solve for the unknown in all positions (e.g., by using drawing and equations with a symbol for the unknown number to represent the problem).

- Add and subtract within 20.
- Work with equal groups of objects to gain foundations for multiplication.
- Determine whether a group of objects (up to 20) has an odd or even number of members; write an equation to express an even number as a sum of two equal addends.
- Use addition to find the total number of objects arranged in rectangular arrays with up to 5 rows and 5 columns; write an equation to express the total as a sum of equal addends.

- Number and Operations in Base Ten
- Understand place value.
- Understand three-digit numbers as representing amounts of hundreds, tens, and ones.
- Count, read, and write numbers within 1000.
- Skip count by 5s, 10s, 100s.
- Compare three-digit numbers and use >, <, symbols="" span="">to record comparisons.

Use place value understanding and properties of operations to add and subtract

- Add and subtract within 1000, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.
- Add up to four two-digit numbers using strategies based on place value and properties of operations.
- Mentally add or subtract 10 or 100 to or from a given number 100-900.
- Explain why addition and subtraction strategies work, using place value and the properties of operations.

Measurement and Data

- Measure and estimate lengths in standard units. Measure length of an object by selecting and using appropriate tools (e.g., ruler) and estimate lengths using standards units (inches, feet, centimeters, meters)
- Measure to determine how much longer one unit is than another.

Relate addition and subtraction to length

Solve word problems involving lengths that are given in the same units and represent whole number lengths on a number line diagram.

Work with time and money.

Tell and write time from analog and digital clocks to the nearest five minutes, using a.m. and p.m.

Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies using $ and ¢ symbols appropriately.

- Represent and interpret data.
- Generate measurement data by measuring length of several objects to nearest whole or repeated measurements of the same object and show measurements in a line plot.
- Draw a picture graph and bar graph to represent and solve problems with a data set with up to four categories.

### Geometry

- Reason with shapes and their attributes.
- Recognize and draw shapes having specific attributes.
- Partition shapes into the same size parts/equal shares and describe the shares (e.g., halves) and the whole as two halves, three thirds, four fourths using words.
- Recognize that equal shares of identical wholes need not have the same shape.