4th Grade Mathematics Benchmarks

Revised August 2007

Benchmarks are what Lakeland students must absolutely know. They are drawn from Lakeland and State curriculum standards, Direct Math Assessment, and ISAT Learning Continuum.

4^th grade ISAT RIT range is 191 to 220

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

h Link to: Direct Math Assessment Toolkit (First and Second Quarter)

h Link to: ISAT Resources – Sample test questions

h Link to: ISAT Proficiency Levels Chart

h Link to: Learning Continuum

Mathematic Vocabulary

h ISAT Vocabulary RIT Score <150 to 220

Grading Period:

First Quarter Benchmarks

Number Sense

§ Complete Number Sequences

· Understand and Identify Place Value and Value of each Digit in Numerals Through 10,000

· Identify the Number and Written Word for Ordinal Numbers

· Recognize Even and Odd Numbers

· Draw and Understand Number Lines

· Write Numerals in Expanded Form Through 10,000

· Name Fractions

· Draw Pictures of Fractions

· Identify and Understand the Greater and Lesser of 2

· Numerals - Use the Symbols > and < and =.

· Order Numerals through 10,000

· Order Numbers from Least to Greatest and Greatest to Least through 10,000

· Read, Shade, and Write Fractional Parts of a Group Using Pictures of Fractions

· Match Word Names to Numerals Through 10,000

· Read, Write, Compare and Order

· Numbers up to 10,000 using Digits and Words

· Use appropriate Notations and Terms

Estimation/Computation

· Understand Addition Concepts

· Recognize Addition and Subtraction Fact Families

· Explore and use the commutative property of addition and multiplication

· Solve Some and Some More Word Problems

· Solve Some Went Away Word problems

· Make and Use a Multiplication Table to Solve Multiplication Problems

· Add and Subtract Whole Multi Digit Numbers w/o Calculator

· Count the value of a collection of bills and coins up to $100.00.

· Add with Regrouping

· Add Three Digit Numbers

· Subtract without Regrouping

· Subtract Two-Digit Numbers with Regrouping

· Add Columns of Numbers

· Round Whole Numbers to Nearest Ten and Hundred

· Know Multiplication Facts through 5

· Translate Verbal Statements into Equations: Use all Four Operations

· Use Appropriate Notations and Terms/Vocabulary

Reasoning/Problem Solving

· Choose and Apply an Appropriate Problem Solving Strategy

· Select and use appropriate operations to solve word problems

· Use a Number Line to Write Number Sentences using Addition and Subtraction

· Use Logic to Solve Problems

· Use Appropriate Notations and Terms

Algebraic Concepts

· Solve for Missing Addends

· Solve for Missing Numbers in Subtraction

· Solve missing addends and missing factor problems using inverse operations

· Solve for Missing Two-Digit Addends

· Use Appropriate Notations and Terms

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

Geometry

· Understand Triangles, Rectangles, Squares, Circles

· Identify Parallel, Perpendicular, and Intersecting Lines

· Find Perimeter of a Square, Rectangle, and Triangle

· Find the area of a square/rectangle

· Solve Practical Word Problems Involving Perimeter and Area

· Identify Points, Lines, Line Segments, Rays, Planes, and Angles

· Identify Angles according to their Measure: Right, Obtuse, Acute

· Identify Congruent Figures, Angles, and Line Segments

· Use Appropriate Notations and Terms

Measurement

· Read Scales (Temperature/Weight)

· Understand the measurable attributes of objects

· Select and use appropriate units and tools to make formal measurements in both systems (time, length, temperature)

· Read Time From a Clock With Hands

· Read Centimeter Scale

· Metric System/U.S. Customary System – Convert Lengths

· Apply understanding of relationships within the U.S. Customary system

· Apply understanding of relationships within the metric system

· Calculate Elapsed Time

· Measure and Work with Temperature

· Tell Time Using Both Digital and Analog Clocks to Nearest Minute

· Use a Calendar to Solve Problems

· Understand the Difference Between AM and PM

· Use Appropriate Notations and Terms

· Apply understanding of relationships to solve real-world problems related to time

Suggested Assessments

· Book Work

· Work Sheets

· Teacher Resources

· Portfolios

· Quizzes

· Tests

· Etc.

Second Quarter Benchmarks

Number Sense

· Write and Read Monetary Amounts by Using the Dollar Sign, the Cent Sign, and Written Words

· Determine Multiples of Numbers

· Determine Percents to Describe Parts of a Whole

· Solve Squares and Square Roots of Numbers

· Compare and Order Whole Numbers, Sets of Objects, Fractions with pictorial representations, Mixed Numbers and Decimal place value through hundredths

· Understand and Apply the Rules of Divisibility

· Write Numerals in Expanded Form Through One Million

· Understand and Identify the Place Value and Value of EacAh Digit in Numerals up to One Million

· Use Number Line to Identify a Fractional Point

· Understand and Identify Place Value for Decimals

· Read, Write, Compare and Order Numbers up to 1,000,000 using Digits and Words

· Name Mixed Numbers

· Read Fractions/ Mixed Numbers from Number Line

· Use Pictures to Compare Fractions

· Use concrete objects to recognize, represent, and compare commonly used fractions

· Relate Decimals to Money

· Understand and Identify Place Values and Value of Each Digit in Numerals through 100,000

· Use the identity and zero properties of multiplication

Estimation/Computation

· Understand and Solve Simple Subtraction Word Problems (i.e. Larger/Smaller/Difference)

· Know Multiplication Facts Through 9

· Understand and Solve Division Problems by using the Missing Multiplication Factor, the Division Box, the Division Sign, and the

division Bar

· Estimate Arithmetic Answers by Using Round Numbers and to evaluate reasonableness of the answer.

· Round to Nearest Ten Thousand, Hundred Thousand

· Multiply 3 Factors Together

· Subtract Three-Digit Numbers with Regrouping

· Subtract across Zero

· Multiply Two-Digit Numbers

· Subtract with more than 3 digits

· Divide One-Digit Numbers with a Remainder

· Multiply Three-Digit Numbers

· Divide with Two Digit Answers

· Solve Equations Involving Rational Numbers

· Add, Subtract, Multiply and Divide using Money

Reasoning/Problem Solving

· Use Multiplication to Solve Equal Group Story Problems

· Solve Word problems Using rate

Measurement Unit

· Understand and Use U.S. Units of Length and Volume equivalences involving inches, feet, yards, cups, pints, quarts, and gallons

· Find the Perimeter of a Figure Using Square Units

· Estimate and Verify the Area if a Figure using Square Units

· Identify Years, Decades, Centuries

· State that there are 365 days in a year and 52 weeks in a year

· Determine Elapsed Time

· Use a Calendar to Solve Problems

Algebraic Concepts

· Use 2 Step Equations to Solve Problems

· Represent vertical notation in horizontal form

· Use Parentheses in a Math Sequence

Geometry

· Recognize and Name Polygons

· Classify and Sort Solid Figures

· Identify Congruent Figures and Line Segments

· Recognize Lines and Line Segments of Length

· Area (know length and width of a rectangle)

Suggested Assessments

· Book Work

· Work Sheets

· Teacher Resources

· Portfolios

· Quizzes

· Tests

· Etc.

Third Quarter Benchmarks

Number Sense

· Determine Fraction of a Set (Group)

· Write Improper Fractions from Picture Presentations

· Write Mixed Numbers as Improper Fractions and Improper Fractions as Mixed Numbers

· Recognize and Write Tenths as a Decimal Number

· Recognize and Write Hundredths as a Decimal Number

· Round Decimals to Nearest Whole Number, Tenth, or Hundredth

· Round to Nearest Hundred Thousands and Million

· Understand and Demonstrate That Many Whole Numbers Break Down/Factor in Different Ways (i.e. 12 = 4 x 3, 2 x 6, 2 x 2 x 3)

· Write a Decimal for a Shaded Region

· Write the Word Name for a Decimal and Vise Versa

· Write Numerals in Expanded Form up to One Million

· Read, Write, Compare and Order Numbers up to One Million using Digits and Words

· Understand and Identify Place Value and Value of Each Digit in Numerals Through One Million

· Demonstrate and apply the knowledge of whole numbers and decimal place value and patterns of periods (hundredths to millions)

Estimation and Computation

· Complete Division Problems With the Answer Ending in Zero

· Multiply Mentally by Tens, Hundreds, and Thousands

· Multiply Multiples of 10

· Divide with 2 digit Answers and a Remainder

· Divide with Three-Digit Answers

· Calculate Sales Tax

· Calculate Money Back from a Sale

· Multiply Two Two-Digit Numbers

· Estimate Two-Digit Multiplication Answers

· Find a Percent of a Number

· Apply estimation of measurement to real-world and content problems using actual measuring devices

· Show the relationship between multiplication and division using fact families

Reasoning/Problem Solving

· Choose and Apply an Appropriate Problem Solving Strategy to Solve Problems

· Use a variety of methods, such as words, numbers, symbols, charts, graphs, tables, diagrams, and models, to explain

mathematical reasoning and concepts

· Find Information to Solve Problems

· Solve Division Word Problems with Remainders

· Solve Two-Step Word Problems

Measurement

· Measure Length to the Nearest Millimeter, Centimeter, and Meter

· Understand and Solve Weight Problems Using Ounces, Pounds, and Tons

· Compare Grams and Kilograms and Solve Problems Using These Metric Units

· Measure Liquids (gallon, quarts, pints)

· Select and use appropriate units and tools to make formal measurements in both systems (perimeter, area)

· Circles: Determine Radius and Diameter

Geometry

· Estimate/Measure Angles Using Paper

· Explore relationships among and properties of shapes ( congruence, similarity, symmetry)

· Identify multiple lines of symmetry in two-dimensional shapes

· Identify Congruent figures Using Terminology

Algebra

· Write the Missing Number of Two Equivalent Ratios

· Solve missing factor equations

Statistics, Probability and Graphing

· Interpret Data and Solve Problems Using Picture, Circle, Bar and Line Graphs

Suggested Assessments

· Book Work

· Work Sheets

· Teacher Resources

· Portfolios

· Quizzes

· Tests

· Etc.

Fourth Quarter Benchmarks

Number Sense

· Understand and Identify Place Value and Values of each Digit in Numerals Through One Hundred Million

· Read, Write, Compare and Order Numerals up to 100,000,000 using Digits and Words

· Identify and Name Decimal Numbers

· Recognize and Write Money as Decimals

· Recognize and Write Tenths on the Number Line as Decimals

· Recognize and Write Fractions Equal to One

· Compare and Order Fractions and Mixed Numbers

· Recognize and Complete Equivalent Fractions

· Read and Write the Value of Roman Numerals 1-2000

· Solve Problems for Common Denominators

· Order Exponential Values

· Write Mixed Numbers as Decimals

· Change Improper Fractions to Whole or Mixed Numbers

· Simplify Fractions

· Rename Fractions

Estimation/Computation

· Multiply a 3 or 4 Digit Number by a 2 Digit Number or a 3 digit Number With Zeros

· Find the Average (mean) and mode of a set of whole numbers

· Divide by 10

· Add/Subtract Decimal Numbers

· Divide by Multiples of 10

· Divide by Two-Digit Numbers

· Add/Subtract Mixed Numerals

· Add and Subtract Fractions with Unlike Denominators