Third Grade
Math
Report Card Guide
Here you'll find what third 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
 Measurement and Data
 Mathematical Practices
Number and Operations in Base Ten
Applies place value understanding and properties of operations to perform multidigit arithmetic
 demonstrates an understanding of place value and number relationships in base ten system (identify values of digits and read and write numbers to 999 and using expanded form)

uses place value understanding to sequence, compare and round 2and 3digit numbers

add and subtract multiples of 10 or 100 to 2 and 3digit numbers

adds and subtracts 2digit numbers
Operations and Algebraic Thinking
Represents and solves problems involving multiplication and division

draws/creates models to represent a multiplication or division situation

interprets and describes products and quotients of whole numbers

solves mathematical and realworld word problems using multiplication and division in situations
Demonstrates an understanding of the properties of multiplication and the relationship between multiplication and division

uses properties to simplify and solve multiplication problems (not naming properties)

commutative property of multiplication (if 6 x 4= 24; then 4 x 6 = 24)

associative property of multiplication (2x5x5 can be found by 2 x 5 = 10, then 10 x 3 = 30)

distributive property: 8 x 7 can be found by 8 x (5+2) = (8 x 5) = (8 x 2)


interprets and models division as a multiplication equation with an unknown factor

finds 32÷8 by solving 8 x ? = 32

Demonstrates fluency with multiplication and division combinations

fluently multiplies (x1, x2, x5, x10 facts) using strategies which will lead to memorization
Solves problems involving the four operations, and identifies and explains patterns in arithmetic

solves onestep word problems (+, , x, ÷)

represents word problems using equations with a symbol standing for the unknown quantity

generates equivalent expression using operations for a given 2 or 3digit number
Measurement and Data
Solves problems involving measurement and estimation of liquid volume, mass and length

uses a ruler to measure lengths to the nearest inch and halfinch

knows and uses the relationship between linear units when determining measurements, and chooses best tool and unit for the task
Tells and writes time to the nearest minute, and solves problems by calculating time intervals

tells, shows and writes time (analog and digital) to 5 minute increments

connects the various ways to state the time
o 2:45 “45 minutes past 2 o’clock” “quarter of/to 2” “15 minutes before 3 o’clock”
Solves problems involving money and makes change using a combination of coins and bills

compares total values of two or more sets of coins and bills

makes change from an amount up to $1.00
Represents and interprets data using tally charts, tables, pictographs, line plots and bar graphs

collects, organizes and displays data in various formats

solves oneand twostep problems using information to interpret categorical data presented in scaled pictographs and bar graphs

organizes numerical data into a line plot
o creates a line plot using whole number increments
o organizes measurement data and create a line plot using fractional increments to the 1/2 inch
 interprets /describes the data shown on a line plot
Mathematical Practices
Second Trimester
 Number and Operation in Base Ten
 Operations and Algebraic Thinking
 Geometry
 Measurement and Data
 Mathematical Practices
Number and Operation in Base Ten
Applies place value understanding and properties of operations to perform multidigit arithmetic
 demonstrates an understanding of place value and number relationships in base ten system (identify values of digits, write numbers to 10,000 and write using expanded form, make representations)

uses place value understanding to order, compare and round threedigit numbers to nearest 10 or 100

adds and subtracts two and threedigit numbers using appropriate, efficient strategies

multiplies onedigit numbers by 2digit multiples of 10
Operations and Algebraic Thinking
Represents and solves problems involving multiplication and division

draws/creates models to represent a multiplication or division situation

interprets and describes products and quotients of whole numbers

solves mathematical and realworld word problems using multiplication and division in situations
Demonstrates an understanding of the properties of multiplication and the relationship between multiplication and division

uses properties to simplify and solve multiplication problems (not naming properties)

commutative property of multiplication (if 6 x 4= 24; then 4 x 6 = 24)

associative property of multiplication (2x5x5 can be found by 2 x 5 = 10, then 10 x 3 = 30)

distributive property: 8 x 7 can be found by 8 x (5+2) = (8 x 5) = (8 x 2)


interprets and models division as a multiplication equation with an unknown factor

finds 32÷8 by solving 8 x ? = 32

Demonstrates fluency with multiplication and division combinations

fluently multiplies (to 10 x 10) using strategies

thinks of division as a “missing factor” multiplication problem to work toward division fluency
Solves problems involving the four operations, and identifies and explains patterns in arithmetic

solves one and twostep word problems (+, , x)

estimates sums and differences using rounding and other strategies (before computing)

represents word problems using equations with a symbol standing for the unknown quantity

writes expressions equal to a given 3digit number given constraints

identifies the missing symbol (+,,x, ÷, <,>,=) that makes a number sentence true
Geometry
Identifies, compares and classifies 2D shapes and their attributes

analyzes and defines polygons and describes using mathematical vocabulary

names and categorizes regular and irregular polygons based on their characteristics

compares and contrasts characteristics of polygons in order to classify them into larger groups
Measurement and Data
Solves problems involving measurement and estimation of liquid volume, mass and length

uses a ruler to measure lengths to the nearest half inch and centimeter

knows and uses the relationship between linear units when determining measurements, and choose best tool and unit for the task
Tells and writes time to the nearest minute, and solves problems by calculating time intervals

tells, shows and writes time (analog and digital) to the minute

connects the various ways to state the time
o 2:45 “45 minutes past 2 o’clock” “quarter of/to 2” “15 minutes before 3 o’clock”
Solves problems involving money and makes change using a combination of coins and bills

compares total values of two or more sets of coins and bills

makes change from an amount up to $5.00
Represents and interprets data using tally charts, tables, pictographs, line plots and bar graphs

interprets /describes the data shown on a line plot

solves oneand twostep problems using information to interpret categorical data presented in scaled pictographs, bar graphs and line plots marked in ½ inch increments
Solves problems involving area and perimeter of polygons and distinguishes between linear and area measures

finds the area of 2D figures in real world and mathematical problems by:
o counting unit squares inside the figure
o multiplying side lengths of rectangles

finds the perimeter of 2D figures in real world and mathematical problems:
o add side lengths to find the perimeter
o find an unknown side length when perimeter and the other side lengths are known

correctly labels area in square units (sq in, sq cm, sq ft, etc) and perimeter in units (in., cm, ft, etc)

identifies and creates rectangles having the same perimeter but different areas, as well as having the same areas but different perimeters
Mathematical Practices
Third Trimester
 Number and Operations in Base Ten
 Number and Operations: Fractions
 Operations and Algebraic Thinking
 Geometry
 Measurement and Data
 Mathematical Practices
Number and Operations in Base Ten
Applies place value understanding and properties of operations to perform multidigit arithmetic
 demonstrates an understanding of place value and number relationships in base ten system (identify values of digits and writing numbers to 10,000 using expanded form)

uses place value understanding to order, compare and round twoand threedigit numbers

adds and subtracts two and threedigit numbers using appropriate, efficient strategies

multiplies onedigit numbers by 2digit multiples of 10
Number and Operations: Fractions
Demonstrates an understanding of fractions as numbers

uses fractions to represent equal parts of a whole or set

writes the fraction that corresponds to a drawing or part of a set

creates a model or set that represents a given fraction


represents fractions on a number line model

understands that two fractions are equivalent if they are the same size, or occupy the same point on a number line

expresses whole numbers as fractions

compares two fractions with the same numerator or same denominator by reasoning about their size; uses >,<,= to compare them and justify reasoning
Operations and Algebraic Thinking
Represents and solves problems involving multiplication and division

draws/creates models to represent a multiplication or division situation

interprets and describes products and quotients of whole numbers

solves mathematical and realworld word problems using multiplication and division in situations
Demonstrates an understanding of the properties of multiplication and the relationship between multiplication and division

uses properties to simplify and solve multiplication problems (not naming properties)

commutative property of multiplication (if 6 x 4= 24; then 4 x 6 = 24)

associative property of multiplication (2x5x5 can be found by 2 x 5 = 10, then 10 x 3 = 30)

distributive property: 8 x 7 can be found by 8 x (5+2) = (8 x 5) = (8 x 2)


interprets and models division as a multiplication equation with an unknown factor

finds 32÷8 by solving 8 x ? = 32

Demonstrates fluency with multiplication and division combinations

fluently multiplies (to 10 x 10) and divides using strategies which will lead to memorization of the multiplication and division math facts
Solves problems involving the four operations, and identifies and explains patterns in arithmetic

solves one and twostep word problems (+, , x, ÷)

estimates sums and differences using rounding and other strategies (before computing)

represents word problems using equations with a symbol standing for the unknown quantity

identifies the symbol (+,,x, ÷, <,>,=) that makes a number sentence true

solves twostep equations using order of operations with no grouping symbols
Geometry
Identifies, compares and classifies 2D shapes and their attributes

analyzes and defines polygons and describes using mathematical vocabulary

names and categorizes regular and irregular polygons based on their characteristics

compares and contrasts characteristics of polygons in order to classify them into larger groups
Partitions shapes into parts with equal areas and expresses the area of each part as a unit fraction of the whole

divide geometric shapes into parts, all of the parts have the same area

express the area of each of the equal parts as a fraction (example – a shape partitioned into 4 equal area parts, each part is ¼th of the total area of the shape)
Measurement and Data
Solves problems involving measurement and estimation of liquid volume, mass and length

uses a ruler to measure lengths to the nearest quarter inch and centimeter

knows and uses the relationship between linear units when determining measurements

measures and estimates liquid volume using standard (c, pt, qt, gal) and metric (mL, L) units

measures and estimates weight (mass) using standard (oz, lb) and metric (g, kg) units

uses the four operations to solve onestep word problems involving masses or liquid volumes that are given in the same units
Tells and writes time to the nearest minute, and solves problems by calculating time intervals

tells, shows and writes time (analog and digital) to the minute

connects the various ways to state the time
o 2:45 “45 minutes past 2 o’clock” “quarter of/to 2” “15 minutes before 3 o’clock”

determines the amount of time elapsed between events or the start/end time of an event given the time elapsed
Solves problems involving money and makes change using a combination of coins and bills

compares total values of two or more sets of coins and bills

makes change from an amount up to $5.00
Represents and interprets data using tally charts, tables, pictographs, line plots and bar graphs

collects, organizes and displays data in various formats

translates data from one type of data display to another

solves oneand twostep problems using information to interpret categorical data presented in scaled pictographs and bar graphs

organizes numerical data into a line plot

creates a line plot using whole number increments

organizes measurement data and create a line plot using fractional increments to the ¼ inch


interprets /describes the data shown on a line plot
Solves problems involving area and perimeter of polygons and distinguishes between linear and area measures

finds the area of 2D figures in real world and mathematical problems by:
o counting unit squares inside the figure
o multiplying side lengths of rectangles

finds the perimeter of 2D figures in real world and mathematical problems:
o add side lengths to find the perimeter
o find an unknown side length when perimeter and the other side lengths are known

correctly labels area in square units (sq in, sq cm, sq ft, etc) and perimeter in units (in., cm, ft, etc)

identifies and creates rectangles having the same perimeter but different areas, as well as having the same areas but different perimeters