First Grade
Math
Report Card Guide

Extend the counting sequence to read and write numerals to represent objects

• rote counts to 120 by ones (forward and backward), starting at a number other than 1, using a number line as a tool

• counts sets of objects (to 30) and demonstrates one-to-one correspondence

• identifies and writes numerals (0 – 30)

• draws or creates representations of numbers (0 - 30)    

Use place value concepts to represent amounts of tens and ones, and to compare one- and two-digit numbers

• represents a 2-digit number (to 30) as some number of groups of tens and some number of ones using ten frames
   
• uses an equation to represent a 2-digit number (to 30) as the sum of multiples of ten and some number of ones (ex 22=20+2 or 22=10+10+2)
   
• compares numbers (to 30) using greater than, less than and symbols >,<, =

Represent and solve problems involving addition and subtraction within 20

• solves addition and subtraction story problems

  • visualize, represent and determine appropriate operation to solve a story problem with the total/result unknown

  • represent addition and subtraction situations with equations

Understand and apply properties of operations and the relationship between addition and subtraction

• add and subtract within 12 using strategies

• relate counting on/back to addition/subtraction and use it as a strategy to solve

• understands that order in which numbers are added doesn’t affect the sum (total)

• finds possible 2-addend combinations of numbers (to 12)

• understands that a quantity can be expressed in different ways (5+1; 4+2; 2+2+2;  etc)

• determine the missing part when one part and the total are known using a counting up strategy

• understands subtraction as an unknown-addend (missing part) problem because addition and subtraction are inversely related operations

• understands the concept of “equality” and the meaning of the equal sign

• determines whether equations involving addition and subtraction are true or false

• demonstrate fluency with +1, +2, -1, -2 facts

Compose and distinguish between two- and three- dimensional shapes based on their attributes

• identifies 2-D shapes: circle, square, triangle, rectangle, hexagon, trapezoid, rhombus, quadrilaterals
   
• describes and compares characteristics of 2-D shapes: number of sides, curves, corners/vertices, lengths of sides, “closed shape”
   
• classify shapes by their characteristics
   
• draws a circle, triangle, square and rectangle; constructs 2-D shapes with materials and geoboards
   
• compose and decompose 2-D shapes to create new shapes
   
• finds 2-D shapes in the real-world

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

• makes sense of quantities and their relationships in problem situations

• attends to precision and uses math vocabulary to explain, justify reasoning, and communicate effectively

• explains own reasoning and listens to/evaluates the reasoning of others

• notices the patterns/regularities in mathematics and applies them to help solve problems

 

Extend the counting sequence to read and write numerals to represent objects

• rote counts to 120 by ones (forward and backward), starting at a number other than 1, using a number line as a tool

• counts sets of objects (to 60) and demonstrates one-to-one correspondence

• identifies and writes numerals (0 – 120)

• draws or creates representations of numbers (0 - 60)    

Use place value concepts to represent amounts of tens and ones, and to compare one- and two-digit numbers

• represents a 2-digit number (to 30) as some number of groups of tens and some number of ones using ten frames
   
• uses an equation to represent a 2-digit number (to 30) as the sum of multiples of ten and some number of ones (ex 22=20+2 or 22=10+10+2)
   
• compares numbers (to 120) using greater than, less than and symbols >,<, =

Represent and solve problems involving addition and subtraction within 20

• solves addition and subtraction story problems

  • visualize, represent and determine appropriate operation to solve a story problem with the total/result unknown and unknown change (missing part)

  • solve comparison story problems

  • represent addition and subtraction situations with equations

• tell a story problem which could be represented by a given equation

Understand and apply properties of operations and the relationship between addition and subtraction

• add and subtract within 20 using strategies
   
• relate counting on/back to addition/subtraction and use it as a strategy to solve
   
• understands that order in which numbers are added doesn’t affect the sum (total)
   
• finds possible 2-addend combinations of numbers (to 12)
   
• understands that a quantity can be expressed in different ways (5+1; 4+2; 2+2+2;  etc)
   
• determine the missing part when one part and the total are known, and in an addition and subtraction equation relating 3 numbers (e.g. 5 + __ = 8)
   
• understands subtraction as an unknown-addend (missing part) problem because addition and subtraction are inversely related operations
   
• solve comparison problems with the difference unknown and determine how many more or fewer
   
• understands the concept of “equality” and the meaning of the equal sign
   
• determines whether equations involving addition and subtraction are true or false
   
• demonstrate fluency with addition and subtraction facts within 10

Compose and distinguish between two- and three- dimensional shapes based on their attributes

• identifies 2-D shapes: circle, square, triangle, rectangle, hexagon, trapezoid, rhombus, quadrilaterals
   
• describes and compares characteristics of 2-D shapes: number of sides, curves, corners/vertices, lengths of sides, “closed shape”
   
• classify shapes by their characteristics
   
• draws a circle, triangle, square and rectangle; constructs 2-D shapes with materials such as geoboards
   
• compose and decompose 2-D shapes to create new shapes
   
• finds 2-D shapes in the real-world

Use the understanding of fractions to partition shapes into halves and quarters

• partitions a whole shape (circles and squares) into two and four equal parts

• uses terms halves and fourths to describe (name) these equal parts

• understands that partitioning the whole into more equal parts results in smaller pieces

Order lengths and measure them both indirectly and by repeating length units

• compares lengths of objects through direct comparison using terms longer, shorter

• displays accurate measuring techniques to measure lengths of objects with non-standard units such as unifix cubes

  • expresses length in a number of units

Tell and write time to the nearest half hour using both analog and digital clocks

• understands hour and minute are used to measure time and recognize the hour and minute hands on a clock

• identifies time to the hour and half-hour shown on analog and digital clocks

• represents time to the hour and half-hour on a clock face manipulative

• uses time to the hour as it reflects everyday situations and activities

 

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

• makes sense of quantities and their relationships in problem situations

• attends to precision and uses math vocabulary to explain, justify reasoning, and communicate effectively

• explains own reasoning and listens to/evaluates the reasoning of others

• notices the patterns/regularities in mathematics and applies them to help solve problem

• uses appropriate tools strategically

• makes use of the structure such as place value and the properties of operations when solving problems

Extend the counting sequence to read and write numerals to represent objects

• rote counts to 120 by ones (forward and backward), starting at a number other than 1, and by 2s, 5s and 10s

• counts sets of objects and demonstrates one-to-one correspondence

• identifies and writes numerals (0 – 120)

• draws or creates representations of numbers (0 - 120)    

Use place value concepts to represent amounts of tens and ones, and to compare one- and two-digit numbers

• represents a 2-digit number as some number of groups of tens and some number of ones using ten frames, and identify the number of tens and ones in the number
• uses an equation to represent a 2-digit number as the sum of multiples of ten and some number of ones (ex 22=20+2 or 22=10+10+2)
• compares numbers (to 120) using greater than, less than and symbols >,<, =

Use place value understanding and properties of operations to add and subtract within 100

• add/subtract a two-digit and a one-digit number
   
• add/subtract a two-digit number and a multiple of 10
   
• add within 100 using concrete models and strategies

Represent and solve problems involving addition and subtraction within 20

• solves addition and subtraction story problems

  • visualize, represent and determine appropriate operation to solve a story problem with the total/result unknown and unknown change (missing part), and comparisons

  • represent addition and subtraction situations with equations

• tell a story problem which could be represented by a given equation

Understand and apply properties of operations and the relationship between addition and subtraction

• add and subtract within 20 using strategies, including reasoning about numbers

• relate counting on/back to addition/subtraction and use it as a strategy to solve

• understands that order in which numbers are added doesn’t affect the sum (total)

• finds possible 2-addend combinations of numbers (to 12)

• understands that a quantity can be expressed in different ways (5+1; 4+2; 2+2+2;  etc)

• determine the missing part when one part and the total are known, and in an addition and subtraction equation relating 3 numbers (e.g. 5 + __ = 8)

• understands subtraction as an unknown-addend (missing part) problem because addition and subtraction are inversely related operations

• solve comparison problems with the difference unknown and determine how many more or fewer

• understands the concept of “equality” and the meaning of the equal sign

• determines whether equations involving addition and subtraction are true or false

• demonstrate fluency with addition and subtraction facts within 10

Compose and distinguish between two- and three- dimensional shapes based on their attributes

• identifies 2-D shapes (circle, square, triangle, rectangle, hexagon, trapezoid, rhombus, quadrilaterals) and 3-D shapes (cubes, rectangular prisms, cones, cylinders)
   
• describes and compares characteristics of 2-D shapes (number of sides, curves, corners/vertices, lengths of sides and 3-D shapes (faces, edges, vertices)
   
• classifies shapes by their characteristics
   
• draws or constructs 2-D shapes with materials (ex. geoboard, clay)
   
• composes and decomposes 2-D shapes and 3-D shapes to create new shapes
   
• finds 2-D shapes and 3-D shapes in the real-world

Use the understanding of fractions to partition shapes into halves and quarters

• partitions a whole shape (circles and squares) into two and four equal parts

• uses terms halves and fourths to describe (name) these equal parts

• understands that partitioning the whole into more equal parts results in smaller pieces

Order lengths and measure them both indirectly and by repeating length units

• compares lengths of objects through direct comparison using terms longer, shorter

• displays accurate measuring techniques to measure lengths of objects with non-standard units such as unifix cubes

  • expresses length in a number of units

Tell and write time to the nearest half hour using both analog and digital clocks

• understands hour and minute are used to measure time and recognize the hour and minute hands on a clock

• identifies time to the hour and half-hour shown on analog and digital clocks

• represents time to the hour and half-hour on a clock face manipulative

Represent and interpret data using tables/charts

• organizes, displays and interprets data in various formats

  • records data collected using various methods

  • organizes data collected in a variety of ways, including tables, simple bar graphs and picture graphs

  • analyzes a bar graph, table, or picture graph and answers questions about the information shown such as:

•   Who had the most? least?
•   How many students like pizza best?

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

• makes sense of quantities and their relationships in problem situations

• attends to precision and uses math vocabulary to explain, justify reasoning, and communicate effectively

• explains own reasoning and listens to/evaluates the reasoning of others

• notices the patterns/regularities in mathematics and applies them to help solve problem

• uses appropriate tools strategically

• makes use of the structure such as place value and the properties of operations when solving problems