|
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
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
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
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 |
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