Second Grade
Math
Report Card Guide

Uses place value concepts to represent amounts of tens and ones and to compare two-and three-digit numbers

• Understands that the two digits of a two-digit 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 2-digit 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 base-ten numerals 
  
  Examples:
  • standard form: 62
  • word form/number names:  sixty-two
  • 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

Uses place value understanding and properties of operations to add and subtract within 1000

• add multiple single-digit numbers using properties of addition and efficient strategies — order doesn’t matter — to make computation easier
   
• generate equivalent expressions for numbers to 30

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

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

Tells and writes time to the nearest five minutes

• tells time to hour and half-hour increments on an analog and digital clock
   
• represents time to the hour and half-hour 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¢

Strategically applies concepts and processes to make sense of problems and solve them

• makes sense of and models mathematical problems and perseveres in solving them
   
• uses math vocabulary to explain and justify reasoning

Uses place value concepts to represent amounts of tens and ones and to compare two-and three-digit numbers

• Understands that the three digits of a three-digit 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 3-digit numbers (0-1000), based on place value understanding, using <, >, =
   
• represents 2- and 3-digit 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 base-ten numerals 
  
  Examples:
  • standard form: 362
  • word form/number names:  three hundred sixty-two
  • 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

Uses place value understanding and properties of operations to add and subtract within 1000

• add multiple single-digit 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

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 2-step story problems involving comparison and finding the difference 

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

Tells and writes time to the nearest five minutes

• tells time to 15-minute 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)
     
• 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

Strategically applies concepts and processes to make sense of problems and solve them

• makes sense of and models mathematical problems and perseveres in solving them
   
• approaches problems independently
   
• uses math vocabulary to explain and justify reasoning

Uses place value concepts to represent amounts of tens and ones and to compare two-and three-digit numbers

• Understands that the three digits of a three-digit 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 3-digit numbers (0-1000), based on place value understanding, using <, >, =
   
• represents 2- and 3-digit 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 base-ten numerals 
   
  • standard form:   362
     
  • word form/number names:  three hundred sixty-two
     
  • 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

Uses place value understanding and properties of operations to add and subtract within 1000

• add multiple single-digit 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

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 2-step story problems involving comparison and finding the difference 

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

Analyzes and draws two- and three-dimensional shapes having specified attributes

• identifies polygons and other 2-D shapes: triangle, quadrilaterals, pentagon, hexagon (both regular and irregular polygons)
   
• describes and compares defining attributes of 2-D shapes: number of sides, vertices/corners, lengths of sides, angles/right angles
   
• Identifies 3-D shapes: cube, rectangular prism (and other prisms), pyramid
   
• describes and compares defining attributes of 3-D shapes: number and shapes of faces, number of edges and vertices
   
• sorts and classifies 2- and 3-D shapes by their characteristics
   
• draws 2- and 3-D shapes; constructs 2-D shapes with materials and geoboards
   
• compose and decomposes 2- and 3-D shapes to create new shapes
   
• finds and identifies 2- and 3-D shapes in the real world
   
• partition rectangles into rows and columns of same-size 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"

Measures and estimates lengths in standard units using appropriate tools

• measures the length of an object using U.S. Customary (inch, half-inch, 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 five-minute 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)
     
• 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

Strategically applies concepts and processes to make sense of problems and solve them

• makes sense of and models mathematical problems and perseveres in solving them
   
• approaches problems independently
   
• uses math vocabulary to explain and justify reasoning