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4Grade 4 Standards
Top Mathematicians
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Personal Financial Literacy
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4.PFL.111.6.b.10A
Distinguish between fixed and variable expenses.
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4.PFL.111.6.b.10B
Calculate profit in a given situation.
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4.PFL.111.6.b.10C
Compare the advantages and disadvantages of various savings options.
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4.PFL.111.6.b.10D
Describe how to allocate a weekly allowance among spending; saving, including for college; and sharing.
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4.PFL.111.6.b.10E
Describe the basic purpose of financial institutions, including keeping money safe, borrowing money, and lending.
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4.PFL.111.6.b.10A
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Mathematical Process Standards
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4.MPS.111.6.b.1A
Apply mathematics to problems arising in everyday life, society, and the workplace.
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4.1Numbers Up to 500000020
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4.2Add Three Fractions20
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4.3Division with Divisors Up to 10020
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4.4Division with Dividend Up to 100020
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4.5Mixed Equation with Numbers Up to 1000020
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4.6Estimate Products20
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4.7Multiplication with Operands Up to 100 I20
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4.8Multiplication with Operands Up to 100 II20
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4.9Multiplication with Operands Up to 100 III20
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4.10Estimate Mixed Equations20
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4.11Solve Using Guess-And-Check20
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4.12Write Variable Expressions5
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4.13Write Variable Equations to Represent5
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4.14Numeric Patterns15
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4.15Estimate Sums20
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4.16Estimate Differences20
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4.17Add Fractions20
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4.18Subtract Fractions20
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4.19Multiply Fractions by Whole Numbers20
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4.20Extra or Missing Information20
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4.21Multi-Step20
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4.22Interpret Line Plots with Numbers Up to 405
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4.23Create Line Plots5
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4.25Making Change Up to $2015
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4.26Compare Money Amounts15
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4.27Price Lists with Multiplication20
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4.28Price Lists with Addition and Subtraction15
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4.29Compare and Convert Customary Units5
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4.30Compare and Convert Metric Units5
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4.31Convert Mixed Customary Units5
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4.32Add and Subtract Customary Units5
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4.33Compare Customary Units by Multiplying5
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4.34Convert Between Metric and Customary Units5
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4.35Recipes5
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4.36Convert Time Units5
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4.37Fractions of Time Units5
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4.38Add and Subtract Mixed Time Units5
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4.39Find the Change in Time I20
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4.40Find Start and End Times5
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4.41Time Patterns20
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4.42Use Area and Perimeter to Determine the Cost15
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4.MPS.111.6.b.1B
Use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution.
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4.12Write Variable Expressions5
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4.13Write Variable Equations to Represent5
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4.25Making Change Up to $2015
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4.41Time Patterns20
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4.43Choose Numbers to Make Mixed Equations20
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4.44Choose Numbers with a Particular Sum20
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4.45Choose Numbers with a Particular Difference20
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4.46Choose Numbers with a Particular Product20
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4.47Choose the Multiples of a Given Number20
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4.48Inequalities with Multiplication20
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4.49Inequalities with Division20
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4.50Inequalities with Mixed Equations15
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4.51Inequalities with Similar Fractions Up to 1215
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4.52Division Tables20
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4.53Input/Output Tables with Mixed Equations20
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4.54Function Tables15
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4.55Find Two Numbers Based on the Sum and the Difference5
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4.56Find Two Numbers Based on the Operation5
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4.57Rounding with Numbers Up to 100,00015
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4.MPS.111.6.b.1C
Select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems.
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4.19Multiply Fractions by Whole Numbers20
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4.43Choose Numbers to Make Mixed Equations20
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4.44Choose Numbers with a Particular Sum20
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4.45Choose Numbers with a Particular Difference20
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4.57Rounding with Numbers Up to 100,00015
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4.58Multiply Two Numbers Up to 50020
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4.59Factors of Multiplication15
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4.60Multiply Two Numbers Up to 10020
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4.61Multiply Two Numbers Up to 100015
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4.62Multiply Fractions by Whole Numbers20
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4.63Multiply a 2-Digit Number by a 2-Digit Number10
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4.64Division with Remainder with Numbers Up to 50020
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4.65Division with Remainder with Numbers Up to 100020
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4.66Division with Divisors Up to 20020
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4.67Interpret Remainders20
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4.68Divisibility Rules with Numbers Up to 10,00020
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4.69Add Two Numbers Up to 500000025
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4.70Subtraction with Numbers Up to 50000005
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4.71Fill in the Missing Digits15
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4.MPS.111.6.b.1D
Communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate.
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4.26Compare Money Amounts15
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4.29Compare and Convert Customary Units5
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4.30Compare and Convert Metric Units5
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4.33Compare Customary Units by Multiplying5
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4.43Choose Numbers to Make Mixed Equations20
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4.44Choose Numbers with a Particular Sum20
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4.45Choose Numbers with a Particular Difference20
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4.46Choose Numbers with a Particular Product20
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4.47Choose the Multiples of a Given Number20
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4.48Inequalities with Multiplication20
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4.49Inequalities with Division20
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4.50Inequalities with Mixed Equations15
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4.51Inequalities with Similar Fractions Up to 1215
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4.59Factors of Multiplication15
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4.72Counting and Number Patterns: Writing Numbers in Words15
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4.73Choose Properties of Multiplication15
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4.74Properties of Division15
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4.75Find Missing Factors15
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4.76Identify Factors20
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4.77Choose the Equivalent Fraction Up to Twentieths15
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4.78Put Fractions in Order Up to Twentieths15
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4.79Put Decimal Numbers in Order with Numbers Up to 520
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4.80Compare Area and Perimeter of Two Figures15
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4.81Compare Numbers Up to 1000000025
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4.82Compare Decimal Numbers Up to 2 Places15
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4.83Lines, Line Segments and Rays5
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4.84Parallel, Perpendicular, Intersecting5
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4.85Classify Quadrilateral Shapes5
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4.86Symmetry5
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4.MPS.111.6.b.1E
Create and use representations to organize, record, and communicate mathematical ideas.
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4.22Interpret Line Plots with Numbers Up to 405
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4.23Create Line Plots5
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4.53Input/Output Tables with Mixed Equations20
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4.72Counting and Number Patterns: Writing Numbers in Words15
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4.79Put Decimal Numbers in Order with Numbers Up to 520
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4.81Compare Numbers Up to 1000000025
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4.82Compare Decimal Numbers Up to 2 Places15
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4.MPS.111.6.b.1F
Analyze mathematical relationships to connect and communicate mathematical ideas.
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4.MPS.111.6.b.1G
Display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.
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4.72Counting and Number Patterns: Writing Numbers in Words15
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4.73Choose Properties of Multiplication15
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4.74Properties of Division15
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4.82Compare Decimal Numbers Up to 2 Places15
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4.87Addition Patterns Over Increasing Place Values15
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4.89Perimeter with Unit Squares15
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4.91Multiplication Patterns Over Increasing Place Values5
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4.92Acute, Right, Obtuse, and Straight Angles5
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4.MPS.111.6.b.1A
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Number and Operations
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4.NO.111.6.b.2A
Interpret the value of each place-value position as 10 times the position to the right and as one-tenth of the value of the place to its left.
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4.NO.111.6.b.2B
Represent the value of the digit in whole numbers through 1,000,000,000 and decimals to the hundredths using expanded notation and numerals.
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4.NO.111.6.b.2C
Compare and order whole numbers to 1,000,000,000 and represent comparisons using the symbols >, <, or =.
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4.48Inequalities with Multiplication20
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4.49Inequalities with Division20
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4.50Inequalities with Mixed Equations15
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4.51Inequalities with Similar Fractions Up to 1215
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4.NO.111.6.b.2D
Round whole numbers to a given place value through the hundred thousands place.
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4.6Estimate Products20
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4.10Estimate Mixed Equations20
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4.15Estimate Sums20
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4.16Estimate Differences20
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4.57Rounding with Numbers Up to 100,00015
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4.93Estimate Sums with Numbers Up to 100,00020
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4.94Estimate Differences20
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4.95Estimate Products Up to 100,00020
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4.96Estimate Quotients Up to 10,00020
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4.NO.111.6.b.2E
Represent decimals, including tenths and hundredths, using concrete and visual models and money.
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4.NO.111.6.b.2F
Compare and order decimals using concrete and visual models to the hundredths.
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4.NO.111.6.b.2G
Relate decimals to fractions that name tenths and hundredths.
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4.NO.111.6.b.2H
Determine the corresponding decimal to the tenths or hundredths place of a specified point on a number line.
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4.NO.111.6.b.3A
Represent a fraction a/b as a sum of fractions 1/b, where a and b are whole numbers and b > 0, including when a > b.
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4.NO.111.6.b.3B
Decompose a fraction in more than one way into a sum of fractions with the same denominator using concrete and pictorial models and recording results with symbolic representations.
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4.NO.111.6.b.3C
Determine if two given fractions are equivalent using a variety of methods.
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4.NO.111.6.b.3D
Compare two fractions with different numerators and different denominators and represent the comparison using the symbols >, =, or <.
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4.NO.111.6.b.3E
Represent and solve addition and subtraction of fractions with equal denominators using objects and pictorial models that build to the number line and properties of operations.
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4.2Add Three Fractions20
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4.17Add Fractions20
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4.18Subtract Fractions20
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4.19Multiply Fractions by Whole Numbers20
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4.51Inequalities with Similar Fractions Up to 1215
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4.62Multiply Fractions by Whole Numbers20
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4.97Convert Fractions and Mixed Numbers to Decimals15
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4.98Convert Decimals to Fractions and Mixed Numbers15
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4.102Add Two Fractions20
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4.103Subtract Two Fractions20
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4.104Subtract Three Fractions15
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4.105Add Two Mixed Fractions20
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4.106Subtract Two Mixed Fractions20
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4.107Add Fractions with Denominators of 10, 100, 100010
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4.NO.111.6.b.3F
Evaluate the reasonableness of sums and differences of fractions using benchmark fractions 0, 1/4, 1/2, 3/4, and 1, referring to the same whole.
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4.2Add Three Fractions20
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4.17Add Fractions20
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4.18Subtract Fractions20
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4.102Add Two Fractions20
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4.103Subtract Two Fractions20
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4.104Subtract Three Fractions15
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4.NO.111.6.b.3G
Represent fractions and decimals to the tenths or hundredths as distances from zero on a number line.
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4.NO.111.6.b.4A
Add and subtract whole numbers and decimals to the hundredths place using the standard algorithm.
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4.1Numbers Up to 500000020
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4.44Choose Numbers with a Particular Sum20
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4.45Choose Numbers with a Particular Difference20
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4.69Add Two Numbers Up to 500000025
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4.70Subtraction with Numbers Up to 50000005
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4.71Fill in the Missing Digits15
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4.87Addition Patterns Over Increasing Place Values15
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4.108Add and Subtract Decimal Numbers Up to 2 Places10
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4.109Add and Subtract Decimals Up to 1020
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4.NO.111.6.b.4B
Determine products of a number and 10 or 100 using properties of operations and place value understandings.
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4.NO.111.6.b.4C
Represent the product of 2 two-digit numbers using arrays, area models, or equations, including perfect squares through 15 by 15.
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4.NO.111.6.b.4D
Use strategies and algorithms, including the standard algorithm, to multiply up to a four-digit number by a one-digit number and to multiply a two-digit number by a two-digit number. Strategies may include mental math, partial products, and the commutative, associative, and distributive properties.
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4.7Multiplication with Operands Up to 100 I20
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4.8Multiplication with Operands Up to 100 II20
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4.9Multiplication with Operands Up to 100 III20
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4.58Multiply Two Numbers Up to 50020
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4.59Factors of Multiplication15
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4.60Multiply Two Numbers Up to 10020
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4.62Multiply Fractions by Whole Numbers20
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4.63Multiply a 2-Digit Number by a 2-Digit Number10
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4.76Identify Factors20
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4.91Multiplication Patterns Over Increasing Place Values5
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4.NO.111.6.b.4E
Represent the quotient of up to a four-digit whole number divided by a one-digit whole number using arrays, area models, or equations.
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4.19Multiply Fractions by Whole Numbers20
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4.58Multiply Two Numbers Up to 50020
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4.60Multiply Two Numbers Up to 10020
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4.61Multiply Two Numbers Up to 100015
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4.NO.111.6.b.4F
Use strategies and algorithms, including the standard algorithm, to divide up to a four-digit dividend by a one-digit divisor.
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4.3Division with Divisors Up to 10020
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4.4Division with Dividend Up to 100020
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4.52Division Tables20
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4.64Division with Remainder with Numbers Up to 50020
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4.65Division with Remainder with Numbers Up to 100020
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4.66Division with Divisors Up to 20020
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4.67Interpret Remainders20
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4.68Divisibility Rules with Numbers Up to 10,00020
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4.74Properties of Division15
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4.NO.111.6.b.4G
Round to the nearest 10, 100, or 1,000 or use compatible numbers to estimate solutions involving whole numbers.
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4.6Estimate Products20
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4.15Estimate Sums20
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4.16Estimate Differences20
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4.57Rounding with Numbers Up to 100,00015
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4.93Estimate Sums with Numbers Up to 100,00020
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4.94Estimate Differences20
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4.95Estimate Products Up to 100,00020
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4.96Estimate Quotients Up to 10,00020
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4.NO.111.6.b.4H
Solve with fluency one- and two-step problems involving multiplication and division, including interpreting remainders.
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4.3Division with Divisors Up to 10020
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4.4Division with Dividend Up to 100020
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4.7Multiplication with Operands Up to 100 I20
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4.8Multiplication with Operands Up to 100 II20
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4.9Multiplication with Operands Up to 100 III20
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4.27Price Lists with Multiplication20
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4.52Division Tables20
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4.58Multiply Two Numbers Up to 50020
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4.60Multiply Two Numbers Up to 10020
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4.61Multiply Two Numbers Up to 100015
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4.63Multiply a 2-Digit Number by a 2-Digit Number10
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4.64Division with Remainder with Numbers Up to 50020
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4.65Division with Remainder with Numbers Up to 100020
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4.66Division with Divisors Up to 20020
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4.67Interpret Remainders20
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4.68Divisibility Rules with Numbers Up to 10,00020
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4.74Properties of Division15
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4.75Find Missing Factors15
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4.91Multiplication Patterns Over Increasing Place Values5
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4.NO.111.6.b.2A
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Algebraic Reasoning
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4.AR.111.6.b.5A
Represent multi-step problems involving the four operations with whole numbers using strip diagrams and equations with a letter standing for the unknown quantity.
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4.AR.111.6.b.5B
Represent problems using an input-output table and numerical expressions to generate a number pattern that follows a given rule representing the relationship of the values in the resulting sequence and their position in the sequence.
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4.14Numeric Patterns15
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4.87Addition Patterns Over Increasing Place Values15
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4.91Multiplication Patterns Over Increasing Place Values5
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4.110Geometric Growth Patterns15
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4.111Increasing Growth Patterns15
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4.112Patterns Involving Addition and Multiplication20
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4.113Mixed Patterns5
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4.AR.111.6.b.5C
Use models to determine the formulas for the perimeter of a rectangle (l + w + l + w or 2l + 2w), including the special form for perimeter of a square (4s) and the area of a rectangle (l x w).
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4.42Use Area and Perimeter to Determine the Cost15
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4.80Compare Area and Perimeter of Two Figures15
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4.89Perimeter with Unit Squares15
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4.114Relationship Between Area and Perimeter15
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4.115Area of Squares and Rectangles10
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4.AR.111.6.b.5D
Solve problems related to perimeter and area of rectangles where dimensions are whole numbers.
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4.42Use Area and Perimeter to Determine the Cost15
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4.80Compare Area and Perimeter of Two Figures15
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4.89Perimeter with Unit Squares15
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4.114Relationship Between Area and Perimeter15
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4.115Area of Squares and Rectangles10
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4.AR.111.6.b.5A
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Geometry & Measurement
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4.GM.111.6.b.6A
Identify points, lines, line segments, rays, angles, and perpendicular and parallel lines.
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4.GM.111.6.b.6B
Identify and draw one or more lines of symmetry, if they exist, for a two-dimensional figure.
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4.86Symmetry5
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4.GM.111.6.b.6C
Apply knowledge of right angles to identify acute, right, and obtuse triangles.
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4.117Types of Triangles5
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4.GM.111.6.b.6D
Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines or the presence or absence of angles of a specified size.
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4.117Types of Triangles5
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4.118Classify Quadrilateral Shapes5
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4.GM.111.6.b.7A
Illustrate the measure of an angle as the part of a circle whose center is at the vertex of the angle that is "cut out" by the rays of the angle. Angle measures are limited to whole numbers.
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4.GM.111.6.b.7B
Illustrate degrees as the units used to measure an angle, where 1/360 of any circle is one degree and an angle that "cuts" n/360 out of any circle whose center is at the angle's vertex has a measure of n degrees. Angle measures are limited to whole numbers.
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4.116Angles of 90, 180, 270 and 360 Degrees5
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4.119Estimate Angle Measurements15
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4.GM.111.6.b.7C
Determine the approximate measures of angles in degrees to the nearest whole number using a protractor.
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4.GM.111.6.b.7D
Draw an angle with a given measure.
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4.GM.111.6.b.7E
Determine the measure of an unknown angle formed by two non-overlapping adjacent angles given one or both angle measures.
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4.121Adjacent Angles5
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4.GM.111.6.b.8A
Identify relative sizes of measurement units within the customary and metric systems.
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4.GM.111.6.b.8B
Convert measurements within the same measurement system, customary or metric, from a smaller unit into a larger unit or a larger unit into a smaller unit when given other equivalent measures represented in a table.
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4.GM.111.6.b.8C
Solve problems that deal with measurements of length, intervals of time, liquid volumes, mass, and money using addition, subtraction, multiplication, or division as appropriate.
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4.25Making Change Up to $2015
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4.26Compare Money Amounts15
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4.27Price Lists with Multiplication20
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4.28Price Lists with Addition and Subtraction15
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4.35Recipes5
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4.36Convert Time Units5
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4.37Fractions of Time Units5
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4.38Add and Subtract Mixed Time Units5
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4.39Find the Change in Time I20
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4.40Find Start and End Times5
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4.41Time Patterns20
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4.GM.111.6.b.6A
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Data Analysis
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4.DA.111.6.b.9A
Represent data on a frequency table, dot plot, or stem-and-leaf plot marked with whole numbers and fractions.
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4.83Lines, Line Segments and Rays5
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4.122Create Bar Graphs Using Tables5
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4.123Create Pictographs5
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4.DA.111.6.b.9B
Solve one- and two-step problems using data in whole number, decimal, and fraction form in a frequency table, dot plot, or stem-and-leaf plot.
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4.22Interpret Line Plots with Numbers Up to 405
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4.124Interpret Bar Graphs20
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4.125Interpret Pictographs20
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4.DA.111.6.b.9A