First Grade
Math
Report Card Guide
Here you'll find what first grade students are learning in Math during each of the three marking periods (trimesters).
First Trimester
Number and Operations in Base Ten
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 onetoone 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 twodigit numbers
 represents a 2digit number (to 30) as some number of groups of tens and some number of ones using ten frames
 uses an equation to represent a 2digit 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 >,<, =
Operations and Algebraic Thinking
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 2addend 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 unknownaddend (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
Geometry
Compose and distinguish between two and three dimensional shapes based on their attributes
 identifies 2D shapes: circle, square, triangle, rectangle, hexagon, trapezoid, rhombus, quadrilaterals
 describes and compares characteristics of 2D 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 2D shapes with materials and geoboards
 compose and decompose 2D shapes to create new shapes
 finds 2D shapes in the realworld
Mathematical Practices
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
Second Trimester
 Number and Operations in Base Ten
 Operations and Algebraic Thinking
 Geometry
 Measurement and Data
 Mathematical Practices
Number and Operations in Base Ten
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 onetoone 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 twodigit numbers
 represents a 2digit number (to 30) as some number of groups of tens and some number of ones using ten frames
 uses an equation to represent a 2digit 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 >,<, =
Operations and Algebraic Thinking
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 2addend 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 unknownaddend (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
Geometry
Compose and distinguish between two and three dimensional shapes based on their attributes
 identifies 2D shapes: circle, square, triangle, rectangle, hexagon, trapezoid, rhombus, quadrilaterals
 describes and compares characteristics of 2D 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 2D shapes with materials such as geoboards
 compose and decompose 2D shapes to create new shapes
 finds 2D shapes in the realworld
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
Measurement and Data
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 nonstandard 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 halfhour shown on analog and digital clocks

represents time to the hour and halfhour on a clock face manipulative

uses time to the hour as it reflects everyday situations and activities
Mathematical Practices
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
Third Trimester
 Number and Operations in Base Ten
 Operations and Algebraic Thinking
 Geometry
 Measurement and Data
 Mathematical Practices
Number and Operations in Base Ten
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 onetoone 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 twodigit numbers
 represents a 2digit 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 2digit 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 twodigit and a onedigit number
 add/subtract a twodigit number and a multiple of 10
 add within 100 using concrete models and strategies
Operations and Algebraic Thinking
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 2addend 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 unknownaddend (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
Geometry
Compose and distinguish between two and three dimensional shapes based on their attributes
 identifies 2D shapes (circle, square, triangle, rectangle, hexagon, trapezoid, rhombus, quadrilaterals) and 3D shapes (cubes, rectangular prisms, cones, cylinders)
 describes and compares characteristics of 2D shapes (number of sides, curves, corners/vertices, lengths of sides and 3D shapes (faces, edges, vertices)
 classifies shapes by their characteristics
 draws or constructs 2D shapes with materials (ex. geoboard, clay)
 composes and decomposes 2D shapes and 3D shapes to create new shapes
 finds 2D shapes and 3D shapes in the realworld
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
Measurement and Data
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 nonstandard 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 halfhour shown on analog and digital clocks

represents time to the hour and halfhour 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?
Mathematical Practices
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