Second Grade Math Report Card Guide
Here you'll find what second grade students are learning in Math during each of the three marking periods (trimesters).
First Trimester
 Number and Operations in Base Ten
 Operations and Algebraic Thinking
 Geometry
 Measurement and Data
 Mathematical Practices
Number and Operations in Base Ten
Uses place value concepts to represent amounts of tens and ones and to compare twoand threedigit numbers
 Understands that the two digits of a twodigit number represent amount of tens and ones
Examples: 62 = 6 tens and 2 ones
 62: the place value of the underlined digit is the tens place
 62: the value of the underlined digit is 60
 represents 2digit numbers using place value models and drawings
Uses place value concepts to read and write numerals and to skip count to 1000
 reads and writes numerals to 100 using baseten numerals
Examples: standard form: 62
 word form/number names: sixtytwo
 expanded form (sum of the values of the digits): 60 + 2
 counts and sequences numbers to 100 by 1s, 2s, 5s, and 10s
 locates missing numbers on a 100 chart
 locates numbers on a partially marked number line using relative size and position
 locates missing numbers on a 100 chart
Uses place value understanding and properties of operations to add and subtract within 1000
 add multiple singledigit numbers using properties of addition and efficient strategies — order doesn’t matter — to make computation easier
 generate equivalent expressions for numbers to 30
Operations and Algebraic Thinking
Represents and solves problems involving addition and subtraction within 100
 reads and interprets story (word) problems and solves
 writes equations to represent the actions in a story (word) problem using proper addition and subtraction notation
 chooses an appropriate strategy to solve the story problem and shows the work
 writes equations to represent the actions in a story (word) problem using proper addition and subtraction notation
Uses mental strategies to add and subtract within 20
 demonstrates fluency in addition facts: +1, +2, doubles, combinations of 10, facts within 10, and the corresponding subtraction facts
 demonstrates understanding of the inverse relationship of addition and subtraction by using addition facts knowledge to master subtraction facts
Works with equal groups of objects to gain foundations for multiplication
 draws doubles arrays to represent the doubling of a number and to determine the double sum
 uses repeated addition to find the total number of squares in rectangular arrays
Geometry
Analyzes and draws two and threedimensional shapes having specified attributes
 identifies polygons and other 2D shapes: triangle, quadrilaterals, pentagon, hexagon (both regular and irregular polygons)
 describes and compares defining attributes of 2D shapes: number of sides, vertices/corners, lengths of sides, angles/right angles
 Identifies 3D shapes: cube, rectangular prism (and other prisms), pyramid
 describes and compares defining attributes of 3D shapes: number and shapes of faces, number of edges and vertices
 sorts and classifies 2 and 3D shapes by their characteristics
 draws 2 and 3D shapes; constructs 2D shapes with materials and geoboards
 compose and decomposes 2 and 3D shapes to create new shapes
 finds and identifies 2 and 3D shapes in the real world
 partition rectangles into rows and columns of samesize squares and describe them
Uses the understanding of fractions to partition shapes into halves, quarters and thirds
 uses terms "halves, fourths, quarters, half of, fourth of, quarter of, third, third of" to describe equal parts of a whole shape (squares, rectangles and circles)
 describes the whole as "two halves, three thirds, four fourths"
Measurement and Data
Tells and writes time to the nearest five minutes
 tells time to hour and halfhour increments on an analog and digital clock
 represents time to the hour and halfhour on an analog/digital clock
 understands there are 60 min in 1 hour and 30 minutes in half hour
Solves problems using coins and paper currency
 identifies coins and their values: quarter, dime, nickel, penny
 uses coin equivalencies to trade coins (i.e. 2 dimes and 5 pennies can be traded for 1 quarter)
 counts sets of coins to 50¢
Mathematical Practices
Second Trimester
 Number and Operations in Base Ten
 Operations and Algebraic Thinking
 Geometry
 Measurement and Data
 Mathematical Practices
Number and Operations in Base Ten
Uses place value concepts to represent amounts of tens and ones and to compare twoand threedigit numbers
 Understands that the three digits of a threedigit number represent amount of hundreds, tens and ones
Examples: 362 = 3 hundreds, 6 tens and 2 ones
 362: the place value of the underlined digit is the tens place
 362: the value of the underlined digit is 60
 compares 2 and 3digit numbers (01000), based on place value understanding, using <, >, =
 represents 2 and 3digit numbers using place value:
 uses concrete models and drawings
Uses place value concepts to read and write numerals and to skip count to 1000
 reads and writes numerals to 1000 using baseten numerals
Examples: standard form: 362
 word form/number names: three hundred sixtytwo
 expanded form (300 + 60 + 2)
 counts and sequences numbers to 1000 by 1s, 5s, and 10s, 100s and starting with any number
 locates missing numbers on a 1000 chart
 locates numbers on a partially marked number line using relative size and position
 locates missing numbers on a 1000 chart
Uses place value understanding and properties of operations to add and subtract within 1000
 add multiple singledigit numbers using properties of addition and efficient strategies — order doesn’t matter — to make computation easier
 generate equivalent expressions for numbers
 adds and subtracts (straight computation) within 100 fluently
 add and subtract 10 or 100 to/from a number within 1000
 uses efficient strategies for solving addition problems
 explains why addition and subtraction strategies work
Operations and Algebraic Thinking
Represents and solves problems involving addition and subtraction within 100
 reads and interprets story (word) problems and solves
 writes equations to represent the actions in a story (word) problem using proper addition and subtraction notation
 chooses an appropriate strategy to solve the story problem and shows the work
 solves 2step story problems involving comparison and finding the difference
 writes equations to represent the actions in a story (word) problem using proper addition and subtraction notation
Uses mental strategies to add and subtract within 20
 demonstrates fluency in addition facts within 20
 demonstrates understanding of the inverse relationship of addition and subtraction by using addition facts knowledge to master subtraction facts
Works with equal groups of objects to gain foundations for multiplication
 draws doubles arrays to represent the doubling of a number and to determine the double sum
 uses repeated addition to find the total number of squares in rectangular arrays
Geometry
Analyzes and draws two and threedimensional shapes having specified attributes
 Demonstrates mastery of Marking Period 1 Geometry skills and concepts
 Uses the understanding of fractions to partition shapes into halves, quarters and thirds
 Demonstrates mastery of Marking Period 1 Fraction skills and concepts
Measurement and Data
Tells and writes time to the nearest five minutes
 tells time to 15minute increments on an analog and digital clock
 representing time to the quarter hour on an analog/digital clock
Solves problems using coins and paper currency
 represents numbers using coins (quarter, dime, nickel, penny)
 uses coin equivalencies to trade coins
 counts and creates collections of coins to $1.00
 uses $ and ¢ symbols appropriately
 solves word problems involving money
Represents and interprets data using line plots, picture graphs and bar graphs
 gathers, organizes and displays data in various formats
 organizes data using pictures, tallies, tables
 represents and displays organized data using line plots, pictographs, tables, and bar graphs using both horizontal and vertical formats (bar graphs/pictographs with a scale of 1)
 translates data from one type of display to another (i.e. a tally chart to a bar graph)
 organizes data using pictures, tallies, tables
 interprets data displayed in various formats
 analyzes the “story” a graph tells us
 answers questions based on a bar graph, line plot, pictograph, table
 compares the data found in a bar graph, line plot, pictograph, table
 analyzes the “story” a graph tells us
Mathematical Practices
Third Trimester
 Number and Operations in Base Ten
 Operations and Algebraic Thinking
 Geometry
 Measurement and Data
 Mathematical Practices
Number and Operations in Base Ten
Uses place value concepts to represent amounts of tens and ones and to compare twoand threedigit numbers

Understands that the three digits of a threedigit number represent amount of hundreds, tens and ones
Examples: 362 = 3 hundreds, 6 tens and 2 ones
 362: the place value of the underlined digit is the tens place
 362: the value of the underlined digit is 60
 compares 2 and 3digit numbers (01000), based on place value understanding, using <, >, =
 represents 2 and 3digit numbers using place value
 uses concrete models and drawings
Uses place value concepts to read and write numerals and to skip count to 1000
 reads and writes numerals to 1000 using baseten numerals
 standard form: 362
 word form/number names: three hundred sixtytwo
 expanded form (300 + 60 + 2)
 standard form: 362
 counts and sequences numbers to 1000 by 1s, 5s, and 10s, 100s and starting with any number
 locates missing numbers on a 1000 chart
 locates numbers on a partially marked number line using relative size and position
 locates missing numbers on a 1000 chart
Uses place value understanding and properties of operations to add and subtract within 1000
 add multiple singledigit numbers using properties of addition and efficient strategies — order doesn’t matter — to make computation easier
 generate equivalent expressions for numbers
 adds and subtracts (straight computation) within 1000
 add and subtract 10 or 100 to/from a number within 1000
 uses efficient strategies for solving addition and subtraction problems
 explains why addition and subtraction strategies work
Operations and Algebraic Thinking
Represents and solves problems involving addition and subtraction within 100
 reads and interprets story (word) problems and solves
 writes equations to represent the actions in a story (word) problem using proper addition and subtraction notation
 chooses an appropriate strategy to solve the story problem and shows the work
 solves 2step story problems involving comparison and finding the difference
 writes equations to represent the actions in a story (word) problem using proper addition and subtraction notation
Uses mental strategies to add and subtract within 20
 demonstrates fluency in addition facts within 20
 demonstrates understanding of the inverse relationship of addition and subtraction by using addition facts knowledge to master subtraction facts
Works with equal groups of objects to gain foundations for multiplication
 use an array to model equal groups and write an equation to model the number of squares as the sum of equal addends
 determines whether a number of objects is odd or even (even numbers can be broken into two equal groups or pairs)
 solve problems involving equal groups
Geometry
Analyzes and draws two and threedimensional shapes having specified attributes
 Demonstrates mastery of Trimester Period 1 Geometry skills and concepts
 Uses the understanding of fractions to partition shapes into halves, quarters and thirds
 Demonstrates mastery of Trimester Period 1 Fraction skills and concepts
Measurement and Data
Measures and estimates lengths in standard units using appropriate tools
 measures the length of an object using U.S. Customary (inch, halfinch, feet, yard) and Metric (centimeter, meter) units by selecting and using appropriate tools (rulers, yard sticks, meter sticks) and accurate measuring technique
 estimates lengths using units of inches, feet, centimeters, and meters
 compares lengths of two objects
 knows relative size of units in the same system (i.e. inch is smaller than a foot)
 solves word problems involving length
 represents numbers on a number line as equally spaced increments (distance) from one number to the next, and represent addition and subtraction on the number line (a ruler)
Tells and writes time to the nearest five minutes
 tells time to fiveminute increments on an analog and digital clock
 representing time to the 5 minute on an analog/digital clock
Solves problems using coins and paper currency
 represents numbers using coins (q, d, n, p)
 uses coin equivalencies to trade coins
 counts and creates collections of coins to $1.00
 uses $ and ¢ symbols appropriately
 solves word problems involving money
Represents and interprets data using line plots, picture graphs and bar graphs
 gathers, organizes and displays data in various formats
 organizes data using pictures, tallies, tables
 represents and displays organized data using line plots, pictographs, tables, and bar graphs using both horizontal and vertical formats (bar graphs/pictographs with a scale of 1)
 translates data from one type of display to another (i.e. a tally chart to a bar graph)
 organizes data using pictures, tallies, tables
 interprets data displayed in various formats
 analyzes the “story” a graph tells us
 answers questions based on a bar graph, line plot, pictograph, table
 compares the data found in a bar graph, line plot, pictograph, table
 analyzes the “story” a graph tells us