Kindergarten
Math
Report Card Guide
Here you'll find what kindergartners are learning in Math during each of the three marking periods (trimesters).
First Trimester
Number and Operations in Base Ten
Knows number names and writes and recites the counting sequence

identifies numerals: 0 – 10

writes numbers: 0  10

represents a quantity with a written numeral: 0 – 10

rote count to 30
Applies onetoone correspondence to count the number of objects

understands the relationship between numbers and quantities and connects counting to cardinality
o when counting objects, says the number names in the standard order, pairing each object with one and only one number name and each number name with one and only one object
o understands that the last number name said tells the number of objects counted
o understands that the number of objects is the same, regardless of their arrangement or the order in which they were counted
o understands that each successive number refers to a quantity that is one larger

organizes and counts a set of up to 10 objects in various configurations

given a number from 110, counts out that many objects

creates a set of objects with the same number as a given set of up to 10 objects

draws or creates representations of numbers (010)
Applies the concept of magnitude to compare numbers and quantities

compares two quantities (up to 10) using terms more/fewer; greater than/less than/same as/equal to

orders quantities (010) least (smallest) to greatest (largest)
Geometry
Identifies and describes two and threedimensional shapes
 identifies and names two dimensional shapes, in different sizes and orientations: squares, circles, triangles, rectangles, hexagons, and also in the realworld contexts, based on characteristics
 example: triangles
 example: triangles
 identifies shapes as twodimensional (flat)
 describes the relative positions of shapes and other objects using terms such as:
 above, below, beside, between, next to, before, after, inside, outside, over, under
Analyzes, compares, creates and composes two and threedimensional shapes
 analyzes, describes and compares attributes of two dimensional shapes, in different sizes and orientations: number of sides, “corners”, lengths of sides
 draws and models 2D shapes
 puts together simple shapes to form larger shapes (for example, 2 triangles to make a rectangle)
Measurement and Data
Describes and compares measurable attributes of objects
 directly compares lengths of objects and directly compare an object to a tower of cubes
 uses comparison words: longer, shorter, the same size/length
Classifies objects and counts the number of objects in each category
 sorts geometric shapes based on attributes/characteristics
 sorts and categorizes shapes and records data in table format
 counts the number of shapes in each category
Mathematical Practices
Strategically applies concepts and processes to make sense of problems and solve them
 makes sense of problems and perseveres in solving them
 uses precise math vocabulary to explain reasoning
 uses appropriate tools strategically
 create models and pictures to represent mathematical situations
 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
Knows number names and writes and recites the counting sequence

Identifies and writes numerals: 0 – 15

represents a quantity with a written numeral: 0 – 15

rote counts to 50
Applies onetoone correspondence to count the number of objects

understands the relationship between numbers and quantities and connects counting to cardinality
o when counting objects, says the number names in the standard order, pairing each object with one and only one number name and each number name with one and only one object
o understands that the last number name said tells the number of objects counted
o understands that the number of objects is the same, regardless of their arrangement or the order in which they were counted
o understands that each successive number refers to a quantity that is one larger

organizes and counts a set of up to 15 objects in various configurations, including scattered

given a number from 115, counts out that many objects

creates a set of objects with the same number as a given set of up to 15 objects

draws or creates representations of numbers (015)
Applies the concept of magnitude to compare numbers and quantities

compares two quantities (up to 15 using terms more/fewer; greater than/less than/same as/equal to

orders quantities (010) least (smallest) to greatest (largest)

determines one more and one fewer than a given number
Operations and Algebraic Thinking
Extends the concepts of putting together and taking apart to add and subtract within 10

Demonstrates understanding of addition:

combines two amounts to find the total quantity

adds on to one quantity to make another

finds possible combinations to make a number: 7 is 4 and 3; 6 and 1; 5 and 2


Demonstrates understanding of subtraction:

finds the difference between two quantities

“takes away” from one quantity to make another

Geometry
Identifies and describes two and threedimensional shapes

identifies two and threedimensional shapes, in different sizes and orientations: squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, spheres

example: triangles

identifies shapes as twodimensional (flat) or threedimensional (solid)

describes the relative positions of shapes and other objects using terms such as:
o above, below, beside, between, next to, before, after, inside, outside, over, under
Analyzes, compares, creates and composes two and threedimensional shapes

analyzes, describes and compares attributes of two and threedimensional shapes, in different sizes and orientations: number of sides, “corners”, lengths of sides, number of faces

recognize a face of a 3D shape as a 2D shape

draws and models shapes

puts together simple shapes to form larger shapes (for example, 2 triangles to make a rectangle)
Measurement and Data
Describes and compares measurable attributes of objects

uses nonstandard units (unifix cubes, craft sticks) to measure and record the length of an object

uses comparison words: longer, shorter, the same size/length
Classifies objects and counts the number of objects in each category
 sorts geometric shapes based on attributes/characteristics

sorts and categorizes shapes and records data in table format

counts the number of shapes in each category
Mathematical Practices
Strategically applies concepts and processes to make sense of problems and solve them

makes sense of problems and perseveres in solving them

uses precise math vocabulary to explain reasoning

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

uses appropriate tools strategically

creates models and pictures to represent mathematical situations

makes sense of quantities and their relationships in problem situations and is able to use numbers and operation symbols to represent the situation

notices the patterns/regularities in mathematics and applies them to help solve 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
Knows number names and writes and recites the counting sequence

Identifies and writes numerals: 0 – 20

recognizes word form: zero, one, two, three … ten

represents a quantity with a written numeral: 0 – 20

rote counts to 100, by ones and tens, and counts beginning with a number other than 1
Applies onetoone correspondence to count the number of objects

understands the relationship between numbers and quantities and connects counting to cardinality
o when counting objects, says the number names in the standard order, pairing each object with one and only one number name and each number name with one and only one object
o understands that the last number name said tells the number of objects counted
o understands that the number of objects is the same, regardless of their arrangement or the order in which they were counted
o understands that each successive number refers to a quantity that is one larger

organizes and counts a set of up to 20 objects in various configurations, including scattered

given a number from 120, counts out that many objects

creates a set of objects with the same number as a given set of up to 20 objects

draws or creates representations of numbers (020)
Applies the concept of magnitude to compare numbers and quantities

compares two quantities (up to 20) using terms more/fewer; greater than/less than/same as/equal to

compares two numbers between 1 and 10 presented as written numerals

orders quantities (020) least (smallest) to greatest (largest)
Use place value to compose and decompose numbers within 19

represents “teen” numbers on ten frames, to recognize that the number is made up of 1 ten and some ones

record using equations: 19 = 10 + 9 or 10 + 9 = 19
Operations and Algebraic Thinking
Extends the concepts of putting together and taking apart to add and subtract within 10

understands addition as putting together/adding to and subtraction as taking apart/taking from

represents addition and subtraction with drawings, models and equations

solves addition and subtraction story problems

finds possible combinations to make a number: 7 is 4 and 3; 6 and 1; 5 and 2 and records them using equations 4 + 3 = 7

given any number (19), finds the missing part (missing addend) to make 10

fluently add and subtract within 5 (4  2 = ___; 3 + 2 = ___)
Geometry
Identifies and describes two and threedimensional shapes

identifies two and threedimensional shapes, in different sizes and orientations: squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, spheres

identifies shapes as twodimensional (flat) or threedimensional (solid)

describes the relative positions of shapes and other objects using terms such as:
o above, below, beside, between, next to, before, after, inside, outside, over, under
Analyzes, compares, creates and composes two and threedimensional shapes

analyzes, describes and compares attributes of two and threedimensional shapes, in different sizes and orientations: number of sides, “corners”, lengths of sides

recognize a 3D face as a 2D shape

draws and models shapes
 composes simple shapes to form larger shapes (for example, 2 triangles to make a rectangle)
Measurement and Data
Describes and compares measurable attributes of objects
 understands and compares length and weight of objects
 uses nonstandard units to measure and record the length of an object
 compares relative lengths of objects: longer, shorter, the same size/length
 compares relative weights of objects using a balance scale: lighter, heavier
Classifies objects and counts the number of objects in each category
 describes attributes (characteristics) of an object or shape
 sorts a set of objects into two groups based on an attribute
 describes the rule by which the set has been sorted
 counts the number of shapes/objects in each category
Mathematical Practices
Strategically applies concepts and processes to make sense of problems and solve them

makes sense of problems and perseveres in solving them

uses precise math vocabulary to explain reasoning

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

uses appropriate tools strategically

creates models and pictures to represent mathematical situations

makes sense of quantities and their relationships in problem situations and is able to use numbers and operation symbols to represent the situation

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

makes use of the structure such as place value when solving problems