3rd Grade Mathematics Benchmarks

(Revised August 2006)

 

Benchmarks are what Lakeland students must know.  They are drawn from Lakeland and State curriculum standards and the ISAT Learning Continuum RIT 150-210.

 

Grading Scale

80% or Higher - Meets Benchmarks

79% or Below – Does Not Meet Benchmarks

 

First Quarter Benchmarks

 

NUMBER SENSE

·        Read, write, compare, and order numbers to 100 using digits and words

·        Identify odd and even numbers

·        Recognize, name, and represent commonly used fractions using concrete materials

·        Rewrite numbers by regrouping/trading tens and ones

·        Write a fraction number sentence that equals 1

·        Write a fraction to show part of a set

·        Identify, count, and convert dozen and half dozen

·        Round to the nearest ten

·        Order numbers from least to greatest and greatest to least

 

MONEY

·        Count dimes, nickels and pennies

·        Write money amounts using dollar and cent signs

 

ESTIMATION/COMPUTATION

·        Add 10 to a two-digit number and subtract 10 from a two-digit number using mental computation

·        Add multiples of 10 using mental computation

·        Estimate the sum of two two-digit numbers

·        Facts: Add 0, 1, 2, 3, 4, 5, 6 and 9; Doubles, Sums of 10; Subtract 0 and 1, Differences of  0 and 1

 

REASONING/PROBLEM SOLVING

·        Identify, act out, draw pictures, write number sentences, and solve addition and subtraction story problems

·        Write story problems for addition and subtraction number sentences

 

MEASUREMENT

·        Select and use appropriate tools to make formal measurements of length and temperature in both systems

·        Estimate length to the nearest inch and centimeter

·        Draw and measure to the nearest  inch

·        Draw congruent line segments

·        Identify and measure the length and width of a rectangle

·        Read and shade a thermometer to the nearest 10 degrees and 2 degrees

 

TIME

·        Write the date using digits

·        Tell and show time to the hour and half hour using digital and analog clocks

·        Solve elapsed time problems

·        Compute word problems with time and calendars

 

ALGEBRAIC CONCEPTS

·        Identify Commutative and Associative Properties of Addition

·        Identify a missing addend and solve by using inverse operations

·        Write a number sentence using a symbol to represent an unknown number

·        Write addition and subtraction fact families

·        Write vertical notation in horizontal form

 

GEOMETRY

·        Identify, create, draw, compare and sort two-dimensional polygons

·        Cover and make designs with pattern blocks

·        Identify congruent shapes, figures, angles and line segments

 

DATA ANALYSIS, PROBABILITY AND STATISTICS 

·        List and solve problems using combinations or permutations (ordering items in a set – ABCD, DCBA, etc)

·        Read and graph data on a bar graph

·        Collect data

·        Use tallies to record data

·        Make an organized list

 

Suggested Assessments

·  Meetings 1-35

·  Lessons 1-35

·  Written Assessments 1-6

·  Oral Assessments 1-3

 

Second Quarter Benchmarks

 

NUMBER SENSE

·        Find half of a set of objects

·        Identify place value to 10,000

·        Write three-digit numbers in expanded form

·        Write division problems in three ways

·        Identify quotients

·        Write a part of set as a fraction

·        Write a fraction to show a part of a whole

·        Read, write, compare, and order numbers to 1,000 using digits and words

·        Identify factors and products

·        Identify perfect squares and square numbers

 

MONEY

·        Count quarters

·        Read and write dollar amounts to $100 using words, fractions (check format) and decimals

·        Compute basic operations with monetary amounts up to and including $10

 

ESTIMATION/COMPUTATION

·        Add three or more single-digit numbers

·        Add two two-digit numbers using mental computation

·        Add two two-digit numbers using the addition algorithm

·        Subtract a multiple of 10 from a number using mental computation

·        Estimate the difference of two two-digit numbers

·        Subtract two-digit numbers with and without regrouping

·        Add and subtract multiples of 100

·        Facts: Add 7 and 8; Subtract 2, 3, and 4, Difference of 2, 3 and 4; Subtract a Number from 10; Multiply by 1, 2, 7 and 10

 

REASONING/PROBLEM SOLVING

·        Use estimation to verify reasonableness of calculated results

·        Identify, act out, draw pictures and write number sentences for multiplication story problems

·        Identify extra information or missing information that is necessary to solve word problems

·        Identify the correct information to solve addition and subtraction word problems

 

MEASUREMENT

·        Estimate, order, identify and measure capacity of containers (teaspoon, tablespoon, cup, pint, quart, half-gallon, gallon and liter)

·        Read a thermometer to the nearest degree

·        Identify freezing and boiling point of water and normal body temperature on the Fahrenheit scale

·        Estimate reasonable temperature

·        Draw and measure to the nearest half inch and centimeter

 

TIME

·         Tell and show time to five-minute intervals using digital and analog clocks

·        Identify a.m. and p.m.

·        Identify the number of minutes in an hour and number of hours in a day

·        Determine elapsed time

 

ALGEBRAIC CONCEPTS

·        Identify a missing digit using an addition problem

·        Use comparison symbols (<, > and =) of two numerals through 1,000

·        Use symbols of  inequality, < and >, to write and complete number sentences

·        Explore the relationship between multiplication and division and solve the inverse operations with multiplication and division

·        Simplify expressions with exponents of 2

·        Write and solve a number sentence using symbols to represent an unknown number for all operations

·        Write a multiplication problem vertically and horizontally

 

GEOMETRY

·        Name line segments

·        Identify horizontal, vertical and oblique line segments

·        Find perimeter

·        Identify and draw lines of symmetry and symmetrical parts

 

DATA ANALYSIS, PROBABILITY AND STATISTICS 

·        Construct and solve word problems involving a bar graph, line graph, circle graph, pictograph and table

·        Read and interpret dual bar graphs and broken-line graphs

·        Conduct a survey

·        Construct a number line

·        Locate and name points on a number line

 

Suggested Assessment

·  Meetings 36-70

·  Lessons 36-70

·  Written Assessments 7-13

·  Oral Assessments 4-7

 

Third Quarter Benchmarks

 

NUMBER SENSE

·        Identify place value to 100,000

·        Round to the nearest 100

·        Compare and order fractions and mixed numbers

·        Find equivalent fractions using multiples and factors

·        Write mixed numbers

·        Write improper fractions

·        Write mixed numbers as improper fractions and improper fractions as mixed numbers

·        Identify the least common denominator of two fractions

·        Identify the value of Roman Numerals using I, V, and X

·        Identify ordinal position by number and written word

·        Read, write, compare, and order numbers to 10,000 using words and digits

·        Write numerals in expanded form to 10,000

 

MONEY

·        Read and write money amounts to $1,000 using words, fractions (check format) and decimals

·        Select coins for a given amount

·        Determine the value of a collection of bills and coins up to $10.00

·        Make Change for $1.00

·        Compute basic operations with monetary amounts up to and including $20.00

 

ESTIMATION/COMPUTATION

·        Express 1 in many different ways (1/1, 2/2, 4/4)

·        Add and subtract two-digit and three-digit numbers with and without regrouping

·        Subtract across zeros

·        Estimate the sum and difference of three-digit numbers

·        Add and subtract fractions with like denominators

·        Add and subtract whole numbers and decimals to the hundredths, vertically and horizontally, without and with regrouping

·        Find the sum of three addends

·        Find the missing addend for the sum of 100

·        Facts: Subtract 5, 6, 7, 8 and 9, Difference of 5, 6; Multiply by 0, 3, Difference of 5, 6; Multiply by 0, 3, 4 and 5

 

REASONING/PROBLEM SOLVING

·        Determine what operation is needed to solve a word problem (all four operations)

·        Solve written word problems involving the addition or subtraction of monetary amounts

·        Solve word problems involving customary and metric measurement

·        Solve word problems involving distance, rate, and time

 

MEASUREMENT

·        Read and show temperature on the Celsius scale

·        Estimate and measure distance using feet, yards, meter, and kilometer

·        Identify the number of inches in a foot and yard, feet in a yard, and centimeters in a meter

·        Identify units of weight and mass (ounce, pounds, tons, grams and kilograms)

·        Estimate the mass of an object

·        Draw and measure to the nearest quarter inch

 

TIME

·        Tell and show time to the minute and quarter hour using digital and analog clocks

·        Identify time relationships: minutes in an hour, hours in a day, number of days in each month, and number of days in a year

 

ALGEBRAIC CONCEPTS

·        Find square roots of perfect squares

·        Write multiplication and division fact families

·        Identify and use the associative, commutative, identity, and zero property of multiplication

·        Solve multiplication problems using the commutative property

·        Use comparison symbols (<, > and =) of two numerals through 100,000

 

GEOMETRY

·        Estimate and find the area of a rectangle

·        Identify parallel, perpendicular, and intersecting lines and line segments

·        Identify properties of quadrilaterals

 

DATA ANALYSIS, PROBABILITY AND STATISTICS 

·        Predict whether common events are certain, likely, unlikely, possible, impossible, fair or unfair

·        Make, draw, and write story problems for arrays

·        Make reasonable predictions by collecting and analyzing data

·        State and justify conclusions from information found in tables, graphs, and charts

Suggested Assessment

·  Meetings 71-105

·  Lessons 71-105

·  Written Assessments 14-20

·  Oral Assessments 8-10

 

Fourth Quarter Benchmarks

 

NUMBER SENSE

·        Demonstrate that whole numbers break down in different ways (e.g., 12=4x3=2x6=2x2x4)

·        Identify and write place value for decimals to hundredths

·        Express a fraction as a decimal and a decimal as a fraction (1/4 = .25; ½ = .50; ¾ =.75; 1/1= 1.0) 

·        Write a decimal or fraction as a percent and a percent as a decimal or fraction (.25/1/4 = 25%; .50/1/2 = 50%; .75/3/4 = 75%; 1.0/1/1 = 100%)

·        Identify and write equivalent fractions using pictorial representation

·        Write a decimal for a shaded region

·        Identify place value to the millions

·        Round to the nearest thousand

·        Round a decimal to the nearest whole number

·        Identify prime and composite numbers

·        Complete a factor tree for a number (prime factorization – show in factor tree format)

·        Identify the least common multiple of two whole numbers – using two factor trees)

 

MONEY

·        Combine and identify the value of a collection of coins and bills (given a real or pictured amount of money) up to and including $100.00 

 

ESTIMATION/COMPUTATION

·        Multiply by 10, 100 and 1,000

·        Multiply three or more factors

·        Multiply a 3-digit by a l-digit number with regrouping (including 0)

·        Understand the concept of division using pictorial representation

·        Divide two-digit multiples of 10 by a one-digit number

·        Divide a two-digit number by a multiple of 10

·        Divide a two-digit number by a one-digit number with and without remainders

·        Add positive and negative numbers

·        Facts: Multiply by 6, 8 and 9

 

REASONING/PROBLEM SOLVING

·        Act out, draw pictures and write number sentences for division story problems

·        Write a number sentence to solve one-step word problems involving the operations of addition, subtraction, and multiplication of fractions and decimals

·        Solve one- and two-step word problems involving any combination of basic operations on whole numbers, decimals, and fractions

·        Choose and use appropriate problem solving strategies: draw a picture, make a model, guess and test, make a list, make a table, find a pattern, work backwards, solve a simple problem, draw a diagram, write an equation, or logical deduction

·        Investigate the use of a four-function calculator to solve complex grade-level problems

·        Select and use an appropriate method of computation from mental math, paper and pencil, calculator, or a combination of the three

 

MEASUREMENT

·        Draw and measure to the nearest millimeters

·        Select the appropriate metric and customary unit to measure an object or distance

·        Measure length to the nearest inch, foot, and yard and do appropriate conversions between these units

·        Perform conversions between linear units and the customary system

 

ALGEBRAIC CONCEPTS

·        Extend patterns, identify the function rule that creates a pattern, and explain reasoning

·        Solve problems by finding patterns

·        Simplify expressions containing parentheses

·        Simplify and evaluate expressions with addition, subtraction, multiplication using order of operations

·        Write exponential representation of two multiplied numbers (squared numbers)

·        Identify the base and exponent of a given numerical expression squared and calculate its value

·        Use comparison symbols (<, > and =) of two numerals through 1,000,000

 

GEOMETRY

·        Identify transformations: translations, rotation and reflection

·        Identify and measure right, acute and obtuse angles

·        Name triangles by angle size

·        Identify, compare, and analyze attributes of two-and three dimensional shapes, including right angles, squares, and three-dimensional shapes in environment, and develop vocabulary to describe the attributes

·        Identify, name, and analyze faces, vertices and edges of a geometric solid

·        Find the volume of a rectangular prism

·        Find the area of irregular shapes using square units

·        Identify points, lines, line segments, rays, planes, and angles

·        Calculate the surface area of a rectangular prism

 

DATA ANALYSIS, PROBABILITY AND STATISTICS

·        Discover, describe, and generalize patterns by using manipulatives, numbers and graphic representations

·        Locate negative numbers on a number line

·        Locate addition, subtraction and multiplication on a number line

·        Create and graph points on a coordinate plane

·        Compute average with a given set of data

 

 

Suggested Assessment

·  Meetings 106-135

·  Lessons 106-135

·  Written Assessments 21-26

·  Oral Assessments 11-13

 

Mathematic Vocabulary and Resources

h     3rd grade ISAT RIT range is 181 to 210

h     Link to:  Complete ISAT Vocabulary List RIT 150-280

h     Link to:  ISAT Resources – Sample test questions

h     Link to:  ISAT Proficiency Levels Chart

h     Link to:  Learning Continuum

h     Link to:  Direct Math Assessment Toolkit

 

 

Mathematics Vocabulary

By RIT Score

 

RIT Scores < 150

and

 

RIT Scores 151 – 160

equals

facts

how many

shape

circle

same as

longest

shortest

how tall

kilometer

meter

time

 

RIT Scores 161 – 170

ones

tens

hundreds

thousands

numeral

ordinal numbers through eleventh

counting

matches

triangle

square

corners

cone

closed

inside

how long

names of days of week

next

names of months

pennies

centimeter

inches

probability

 

RIT Scores 171 – 180

closest

how many

even numbers

same as

fewest

congruent

figure

line segment

area

square units

perimeter

days

week

set

coins

thermometer

temperature

pounds

ounces

pints

quarts

chance

product

number sentence

problem

how many more

multiples

greater than

left

how much

money

answer

about

outside

inside

shape

calendar

picture

 

RIT Scores 181 – 190

ordinal numbers (first, second, third, etc)

odd

one-fourth

one-half

reduce

fractions

order

divisible

round

smallest

largest

lowest terms

greatest common factor

least common multiple

closest

units

set

digit

greater than

greatest

symmetry

point

sides

rectangle

cube

straight

line segment

shortest

about

length

estimate

perimeter

change

quarter

dollars

dozen

feet

yard

grams

meters

cups

gallons

nickel

pennies

dime

tablespoon

hours

minutes

degree

most often

sign

add

subtract

multiply

divide

rate

kilometers

between

equals

cost

time

less than

closest to

equation

weigh

pieces

inches

pounds

miles

sum

quarter

 

RIT Scores 191 – 200

difference

not true

power of 10

thirds

fourths

rounded

thousands

exponential form

mixed number

improper fraction

lowest common denominator

percent

expanded form

prime

factor

proportion

symmetrical

parallel

intersecting

diagonal

pair

angle

cylinder

outside

inside

sphere

faces

corresponding

point

intersect

axis of symmetry

line segment

pentagon

height

width

parallelogram

square

rectangle

triangle

year

ton

seconds

kilogram

distance

miles

liter

average

bar graph

percentage

if-then

product

sum

terms

meter

millimeters

feet

yards

unit of measurement

hundreds

tens

table

graph

length

rectangular

area

square inches

exactly

coins

numeral

even

change

opposite

subtrahend

addend

formula

circle

diameter

operation

total

fact

fraction

surfaces

cube

temperature

ordinal numbers (first – fifth)

equivalent

 

RIT Scores 201 – 210

estimate

round

closest to

sum

of (1/2 of 36)

missing number

pentagon

simplest fraction

biggest

hundredths

one less

decimal numeral

squared

divisible

inequality

expanded numeral

equivalent

point

standard numeral

sequence

intersection

quadrilaterals

octagon

parallelogram

pyramid

isosceles

diameter

geometric

perpendicular

plane

circumference

minutes

decades

milligrams