3rd Grade Skills

Addition

Basic Addition
 Add whole numbers, one digit
 Add positive integers, addends from three to nine
 Add positive integers
 Add positive integers, up to two digits
 Add two & threedigit whole numbers
 Add three & fourdigit whole numbers
 Condensed: Add fourdigit & three or fourdigit whole numbers
 Add fourdigit whole numbers

Application of Addition
 Add whole numbers, up to two digits, realworld context
 Add three & fourdigit whole numbers, realworld context
 Add fourdigit whole numbers, realworld context


Subtraction

Basic Subtraction
 Subtract positive integers, positive difference
 Subtract positive integers, twodigit & onedigit
 Subtract positive integers, up to two digits, positive difference
 Subtract whole numbers, threedigit & two or threedigit
 Subtract whole numbers, three or fourdigit & two to fourdigit
 Subtract whole numbers, fourdigit & threedigit
 Subtract whole numbers, fourdigit & threedigit
 Condensed: Subtract whole numbers, fourdigit & three or fourdigit
 Subtract whole numbers, fourdigit & fourdigit

Application of Subtraction
 Subtract whole numbers, threedigit & two or threedigit, realworld context
 Subtract whole numbers, fourdigit & three or fourdigit, realworld context


Multiplication

Basic Multiplication Facts
 Multiply 1 & onedigit whole numbers
 Multiply 2 & onedigit whole numbers
 Multiply 3 & onedigit whole numbers
 Multiply 4 & onedigit whole numbers
 Multiply 5 & onedigit whole numbers
 Multiply 6 & onedigit whole numbers
 Multiply 7 & onedigit whole numbers
 Multiply 8 & onedigit whole numbers
 Multiply 9 & onedigit whole numbers
 Multiply onedigit whole numbers

Modeling Multiplication
 Multiply whole numbers, area models, onedigit factors
 Multiply whole numbers, equalsized groups, onedigit factors
 Multiply whole numbers, arrays, onedigit factors
 Multiply whole numbers, various models, onedigit factors
 Determine total number of objects in equallysized arrays, including twodigit multiples of 10
 Determine total number of objects in equallysized arrays, up to 10 by 10
 Identify models representing onestep multiplication expressions, realworld context

Basic Multiplication
 Multiply multiples of 10 & onedigit whole numbers
 Multiply whole numbers, twodigit & onedigit

Application of Multiplication
 Multiply whole numbers, onedigit factors, realworld context
 Multiply multiples of 10 & onedigit whole numbers, realworld context
 Multiply whole numbers, twodigit & onedigit, realworld context
 Apply commutative property of multiplication
 Apply associative property of multiplication
 Interpret multiplication expression as comparison


Division

Modeling Division
 Determine equivalence between arrays & division equations, dividends up to 50
 Determine equivalence between arrays & division equations
 Identify models representing onestep division expressions, realworld context

Basic Division
 Divide whole numbers, up to twodigit dividend, divisor up to ten

Application of Division
 Divide whole numbers, dividend up to 50, realworld context
 Divide whole numbers, divisor up to 10, quotient up to 10, realworld context
 Determine quotient using relationship between multiplication & division, divisor up to 10, quotient up to 10, realworld context
 Determine quotient using relationship between multiplication & division, dividend up to 50, realworld context


Mixed Operations

Modeling Mixed Operations
 Evaluate onestep addition & subtraction expressions, strip diagrams, including realworld context
 Evaluate onestep addition & subtraction expressions, number lines, including realworld context
 Evaluate twostep addition & subtraction expressions, strip diagrams, including realworld context
 Evaluate twostep addition & subtraction expressions, number lines, including realworld context
 Identify models representing twostep numerical expressions, realworld context
 Identify situations modeled by numerical equations

Application of Mixed Operations
 Add or subtract whole numbers, twostep, realworld context
 Multiply or divide whole numbers, onedigit factors, including addition & subtraction, realworld context
 Solve twostep numerical equations, realworld context

Determining Unknown Number or Symbol in Equations
 Determine unknown whole number in multiplication & division equations
 Determine unknown whole number in multiplication & division equations, dividend up to 50, product up to 100
 Determine twostep equation representations with unknown, including graphs, realworld context
 Identify missing symbol to make number sentence true


Comparing & Ordering
 Compare whole numbers up to 10,000
 Order whole numbers up to 10,000
 Compare & order whole numbers up to 10,000, realworld context
 Compare whole numbers up to 100,000
 Order whole numbers up to 100,000
 Compare & order whole numbers up to 100,000, realworld context

Rounding & Estimating
 Round whole numbers to nearest ten
 Round whole numbers to nearest hundred
 Round whole numbers to nearest thousand
 Estimate sums of whole numbers, up to three digits, including realworld context
 Estimate differences of whole numbers, up to three digits, including realworld context
 Estimate sums & differences of whole numbers by rounding to specified place values

Number Lines
 Identify whole numbers on number lines, base10 increments
 Plot whole numbers on number lines, base10 increments
 Identify or plot fractions or determine lengths on number lines, increments of eighths
 Identify & interpret whole numbers on number lines, base10 increments, realworld context

Number Sense

Place Value
 Identify place value of specific digit, up to six digits
 Identify equivalent numerical & placevalue representations
 Given placevalue model, identify number
 Identify equivalent base10 models

Expanded & Standard Number Forms
 Determine equivalent representations of standard & expanded notations, whole numbers up to 100,000
 Convert between standard & expanded notations, whole numbers
 Convert between standard & expanded notations, whole numbers, realworld context
 Convert between standard & expanded notation, fraction expansions, including realworld context
 Convert between word, standard, & expanded notation, fraction expansions, including realworld context

Word Number Forms
 Given whole number in word form, determine standard notation, up to 100,000
 Convert numbers to word form, up to 100,000

Even & Odd Numbers
 Identify even & odd numbers
 Identify even & odd numbers, realworld context
 Determine even & odd numbers using divisibility

Divisibility Rules
 Apply divisibility rules to twodigit dividends, divisor 2, 5, 10
 Apply divisibility rules to twodigit dividends, divisor 2, 3, 4, 5, 6, 9, 10


Fractions

Representing Fractions
 Identify fractions on number line, unreduced, denominators 2, 3, 4, 6, 8
 Given various models, determine fraction, denominators 2, 3, 4, 6, 8
 Determine partitioning of objects as fraction, denominators 2, 3, 4, 6, 8
 Identify fractions on strip diagrams
 Given unit fraction model, determine parts in whole

Equivalent Fractions
 Determine equivalent fractions, strip diagrams, denominators 2, 3, 4, 6, 8
 Determine equivalent fractions, area models, denominators 2, 3, 4, 6, 8
 Determine equivalent fractions, number lines
 Determine equivalent fraction equations, various models, denominators 2, 3, 4, 6, 8
 Condensed: Determine equivalent fractions, various models, denominators 2, 3, 4, 6, 8
 Determine equivalent fractions & whole numbers, denominators 1, 2, 3, 4, 6, 8
 Determine equivalent fractions, denominators 1, 2, 3, 4, 6, 8, realworld context
 Determine equivalent fraction equations, area models

Comparing Fractions
 Compare two fractions, area models, denominators 2, 3, 4, 6, 8
 Compare two fractions, number lines, denominators 2, 3, 4, 6, 8
 Compare two fractions, strip diagrams, denominators 2, 3, 4, 6, 8
 Condensed: Compare two fractions, various models, denominators 2, 3, 4, 6, 8
 Compare two fractions, different denominators, area models
 Compare two fractions, different denominators, number lines
 Compare two fractions, different denominators, strip diagrams
 Compare fractions, different denominators, visual model
 Compare two fractions, denominators 1, 2, 3, 4, 6, 8

Composing & Decomposing Fractions
 Decompose fractions into sum of fractions, visual models, denominators 2, 3, 4, 6, 8
 Decompose fractions into sum of fractions
 Compose unit fractions into sum, denominators 2, 3, 4, 6, 8, realworld context
 Decompose fractions or mixed numbers into sum of fractions, visual models

Addition of Fractions

Basic Addition of Fractions
 Add fractions, common denominators, unreduced
 Add fractions, common denominators, proper fraction sum
 Add mixed numbers, common denominators

Application of Addition of Fractions
 Condensed: Add fractions, common denominators, including realworld context
 Add fractions, common denominators, realworld context


Subtraction of Fractions

Basic Subtraction of Fractions
 Subtract fractions, common denominators, unreduced
 Subtract fractions, common denominators, proper fraction difference
 Subtract fractions, same denominator, positive difference, including unreduced fractions

Application of Subtraction of Fractions
 Condensed: Subtract fractions, common denominators, including realworld context
 Subtract fractions, common denominators, realworld context


Addition & Subtraction of Fractions
 Add & subtract fractions & mixed numbers, area models
 Condensed: Add or subtract fractions, common denominators, unreduced


Decimals

Representing Decimals
 Given tenths model, identify decimal
 Given hundredths model, identify decimal
 Given hundredths model, identify decimal as monetary amount
 Determine value of decimal model, including money

Comparing & Ordering Decimals
 Compare decimal models
 Compare decimal models, up to three models
 Order decimal models
 Condensed: Compare or order decimal models

Converting Decimals
 Given model, determine fraction & decimal equivalents, unreduced

Addition of Decimals
 Add decimals, positive, up to two decimal places
 Condensed: Add decimals, positive, up to two decimal places, including realworld context
 Add decimals, positive, up to two decimal places, realworld context

Subtraction of Decimals
 Subtract decimals, up to two decimal places
 Subtract decimals, two decimal places
 Subtract decimals, up to two decimal places, realworld context


Geometry

Angles, Lines, & Rays
 Classify angles from figure
 Identify characteristics of points, lines, segments & rays from diagrams

Parallel & Perpendicular Lines
 Identify parallel & perpendicular lines in figures
 Identify parallel & perpendicular lines in figures, realworld context

Classifying Figures
 Classify triangle based on given angle measures
 Identify & classify quadrilaterals
 Classify 2D figures
 Classify 3D figures

Perimeter
 Determine perimeter of rectangles
 Determine perimeter of polygons, whole numbers
 Determine side length or perimeter of squares
 Given perimeter of rectangle & one side, determine dimension

Area
 Determine area of rectangles using unit squares
 Determine area of rectangles, up to 10 by 10, including realworld context
 Determine area of composite figures using unit squares, only rectangles
 Decompose 2D figures into parts with equal areas

Perimeter & Area
 Identify figures with equivalent areas & perimeters using unit squares


Patterns
 Given pattern of shapes, identify shape that completes pattern
 Given table, determine relationship between input & output
 Determine missing elements in tables, subtraction
 Identify or interpret addition & subtraction tables, realworld context
 Identify or interpret multiplication & division tables, realworld context
 Identify arithmetic patterns using properties of operations

Measurement & Data

Customary & Metric Measurement Units
 Given pictorial model, identify weight or liquid volume
 Determine applicable unit of measure, realworld context
 Determine appropriate units or estimated measurement for specified situation
 Determine appropriate units or estimated measurement for specified situation, weight & volume units

Measurement Word Problems
 Solve onestep problems involving mass & volume, realworld context

Ruler Measurement
 Determine measurement to nearest quarter inch
 Determine measurement to nearest centimeter

Money
 Round money to nearest dollar
 Determine value of collection of coins & bills
 Compare values of collections of coins & bills
 Make change, up to $5 paid

Time
 Identify analog time
 Identify analog times before or after hour
 Identify digital times before or after hour
 Given time before or after hour, determine digital time
 Given analog or digital times, determine time passed
 Given time passed, determine starting or ending time on analog clock, realworld context
 Given time passed, determine starting or ending time on number line model, realworld context


Charts & Graphs

Translating Charts & Graphs

Identify Bar Graph
 Given pictograph, determine equivalent bar graph
 Given table, determine equivalent bar graph
 Given table, determine equivalent bar graph, including double bar graphs
 Given pictograph, determine equivalent bar graph, scales 1, 2, 5, 10

Identify Pictograph
 Given table, determine equivalent pictograph, whole numbers
 Given bar graph, determine equivalent pictograph, scales 1, 2, 5, 10
 Given table, determine equivalent pictograph
 Given bar graph, determine equivalent pictograph

Identify Frequency Table
 Given data, identify frequency table
 Given bar graph, determine equivalent table
 Given pictograph, determine equivalent table

Identify Dot Plot
 Given data, identify dot plot
 Determine set of object measurements & equivalent line plot

MIxed Charts & Graphs
 Condensed: Given pictograph, determine equivalent bar graph or table
 Condensed: Given table, determine equivalent bar graph or pictograph
 Condensed: Given bar graph, determine equivalent table or pictograph
 Condensed: Determine equivalent visual representations of data


Interpreting Charts & Graphs
 Determine missing component of bar graphs, scales 1, 2, 5, 10, realworld context
 Determine missing component of pictographs, scales 1, 2, 5, 10, realworld context
 Solve problems involving dot plots
 Solve problems from pictographs, no fractions, scales 1, 2, 5, 10, realworld context
 Solve problems from bar graphs, no fractions, scales 1, 2, 5, 10, realworld context
 Add or subtract whole numbers from various data displays
 Solve problems involving interpretation of various visual diagrams


Financial Literacy
 Identify financial decisions involving income, spending, saving, & giving
 Identify benefits of savings plans
 Identify relationship between supply & cost
 Identify impacts of planned & unplanned spending
 Identify impacts of interest when using credit
 Identify connection between income & human capital