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4Grade 4 Standards
Top Mathematicians
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Data & Probability
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4.D.1.1
Represent data on a frequency table or line plot marked with whole numbers and fractions using appropriate titles, labels, and units.
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4.110Create Line Plots5
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4.111Create Line Plots II5
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4.112Stem-And-Leaf Plots5
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4.D.1.2
Use tables, bar graphs, timelines, and Venn diagrams to display data sets. The data may include benchmark fractions or decimals (¼, ⅓, ½, ⅔, ¾, 0.25, 0.50, 0.75).
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4.110Create Line Plots5
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4.111Create Line Plots II5
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4.112Stem-And-Leaf Plots5
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4.113Convert Graphs to Input/Output Tables5
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4.114Interpret Line Graphs5
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4.115Create Line Graphs5
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4.116Interpret Bar Graphs20
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4.117Create Bar Graphs Using Tables5
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4.118Create Bar Graphs5
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4.119Interpret Line Plots with Up to 5 Data Points5
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4.120Interpret Line Plots5
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4.121Interpret Line Plots with Numbers Up to 405
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4.122Create Frequency Tables5
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4.123Circle Graphs with Fractions5
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4.D.1.3
Solve one- and two-step problems using data in whole number, decimal, or fraction form in a frequency table and line plot.
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4.110Create Line Plots5
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4.111Create Line Plots II5
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4.115Create Line Graphs5
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4.117Create Bar Graphs Using Tables5
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4.118Create Bar Graphs5
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4.119Interpret Line Plots with Up to 5 Data Points5
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4.120Interpret Line Plots5
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4.121Interpret Line Plots with Numbers Up to 405
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4.122Create Frequency Tables5
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4.D.1.1
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Algebraic Reasoning & Algebra
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4.A.1.1
Create an input/output chart or table to represent or extend a numerical pattern.
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4.63Multiplication Input/Output Tables20
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4.64Input/Output Tables with Mixed Equations20
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4.65Function Tables15
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4.66Write Linear Functions10
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4.36Division Tables20
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4.A.1.2
Describe the single operation rule for a pattern from an input/output table or function machine involving any operation of a whole number.
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4.A.1.3
Create growth patterns involving geometric shapes and define the single operation rule of the pattern.
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4.68Mixed Patterns5
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4.A.2.1
Use number sense, properties of multiplication and the relationship between multiplication and division to solve problems and find values for the unknowns represented by letters and symbols that make number sentences true.
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4.69Factors of Multiplication15
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4.70Choose Properties of Multiplication15
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4.71Properties of Multiplication with Factors Up to 1215
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4.72Simplify Variable Expressions10
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4.73Distributive Property5
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4.3Find Missing Factors15
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4.A.2.2
Solve for unknowns in problems by solving open sentences (equations) and other problems involving addition, subtraction, multiplication, or division with whole numbers. Use real-world situations to represent number sentences and vice versa.
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4.A.1.1
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Number & Operations
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4.N.1.1
Demonstrate fluency with multiplication and division facts with factors up to 12.
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4.N.1.2
Use an understanding of place value to multiply or divide a number by 10, 100 and 1,000.
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4.N.1.3
Multiply 3-digit by 1-digit or a 2-digit by 2-digit whole numbers, using efficient and generalizable procedures and strategies, based on knowledge of place value, including but not limited to standard algorithms.
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4.N.1.4
Estimate products of 3-digit by 1-digit or 2-digit by 2-digit whole numbers using rounding, benchmarks and place value to assess the reasonableness of results. Explore larger numbers using technology to investigate patterns.
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4.13Estimate Products20
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4.14Estimate Products Up to 100,00020
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4.N.1.5
Solve multi-step real-world and mathematical problems requiring the use of addition, subtraction, and multiplication of multi-digit whole numbers. Use various strategies, including the relationship between operations, the use of appropriate technology, and the context of the problem to assess the reasonableness of results.
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4.11Multiply a 2-Digit Number by a 2-Digit Number10
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4.15Add Two Numbers Up to 500000025
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4.16Numbers Up to 500000020
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4.17Complete the Equation with Numbers Up to 100020
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4.18Addition Patterns Over Increasing Place Values15
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4.19Increasing Addition Patterns20
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4.20Subtraction with Numbers Up to 50000005
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4.21Fill in the Missing Digits15
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4.22Increasing Subtraction Patterns15
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4.23Choose Numbers with a Particular Product20
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4.24Multiplication with Operands Up to 100 II20
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4.25Multiply Numbers Up to 1000 Ending in Zeros15
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4.26Multiplication with Operands Up to 100 III20
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4.27Multiplication Up to 100015
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4.28Solve Mixed Equations II20
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4.29Mixed Equation with Numbers Up to 1000020
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4.30Mixed Equation with Numbers Up to 10020
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4.31Estimate Mixed Equations20
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4.32Extra or Missing Information20
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4.33Solve Using Guess-And-Check20
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4.34Multi-Step20
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4.N.1.6
Use strategies and algorithms based on knowledge of place value, equality and properties of operations to divide 3-digit dividend by 1-digit whole number divisors. (e.g., mental strategies, standard algorithms, partial quotients, repeated subtraction, the commutative, associative, and distributive properties).
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4.35Division with Remainder with Numbers Up to 50020
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4.36Division Tables20
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4.37Interpret Remainders20
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4.38Division with Remainder with Numbers Up to 100020
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4.39Division with Divisors Up to 20020
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4.N.1.7
Determine the unknown addend or factor in equivalent and non-equivalent expressions. (e.g., 5 + 6 = 4 + ? , 3 x 8 < 3 x ?).
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4.3Find Missing Factors15
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4.N.2.1
Represent and rename equivalent fractions using fraction models (e.g. parts of a set, area models, fraction strips, number lines).
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4.40What Mixed Fraction Is Shown?10
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4.41Compare Fractions20
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4.43Choose the Equivalent Fraction Up to Twentieths15
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4.44Choose the Equivalent Fraction15
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4.N.2.2
Use benchmark fractions (0, ¼, ⅓, ½, ⅔, ¾, 1) to locate additional fractions on a number line. Use models to order and compare whole numbers and fractions less than and greater than one using comparative language and symbols.
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4.41Compare Fractions20
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4.45Compare Fractions - Same Numerator or Denominator20
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4.46Recipes5
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4.47Put Fractions in Order Up to Twentieths15
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4.N.2.3
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 (e.g., ¾ = ¼ + ¾ + ¼).
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4.N.2.4
Use fraction models to add and subtract fractions with like denominators in real-world and mathematical situations.
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4.N.2.5
Represent tenths and hundredths with concrete models, making connections between fractions and decimals.
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4.48Decimals with Models10
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4.N.2.6
Represent, read and write decimals up to at least the hundredths place in a variety of contexts including money.
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4.N.2.7
Compare and order decimals and whole numbers using place value, a number line and models such as grids and base 10 blocks.
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4.N.2.8
Compare benchmark fractions (¼, ⅓, ½, ⅔, ¾) and decimals (0.25, 0.50, 0.75) in real-world and mathematical situations.
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4.N.3.1
Given a total cost (whole dollars up to $20 or coins) and amount paid (whole dollars up to $20 or coins), find the change required in a variety of ways. Limited to whole dollars up to $20 or sets of coins.
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4.56Count Money15
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4.57Compare Money Amounts15
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4.58Add and Subtract Money: Up to $10,0005
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4.59Making Change Up to $2015
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4.60Making Change Up to $515
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4.61Price Lists with Addition and Subtraction15
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4.62Price Lists with Multiplication20
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4.N.1.1
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Geometry & Measurement
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4.GM.1.1
Identify points, lines, line segments, rays, angles, endpoints, and parallel and perpendicular lines in various contexts.
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4.GM.1.2
Describe, classify, and sketch quadrilaterals, including squares, rectangles, trapezoids, rhombuses, parallelograms, and kites. Recognize quadrilaterals in various contexts.
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4.GM.1.3
Given two three-dimensional shapes, identify similarities, and differences.
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4.79Count Edges5
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4.80Count Faces5
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4.81Count Edges, Vertices and Faces5
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4.82Count Vertices5
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4.GM.2.1
Measure angles in geometric figures and real-world objects with a protractor or angle ruler.
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4.83Identify Angles10
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4.GM.2.2
Find the area of polygons that can be decomposed into rectangles.
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4.84Compare Area and Perimeter of Two Figures15
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4.85Area with Unit Squares15
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4.86Area of Rectangles15
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4.GM.2.3
Using a variety of tools and strategies, develop the concept that the volume of rectangular prisms with whole-number edge lengths can be found by counting the total number of same-sized unit cubes that fill a shape without gaps or overlaps. Use appropriate measurements such as cm³.
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4.GM.2.4
Choose an appropriate instrument and measure the length of an object to the nearest whole centimeter or quarter-inch.
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4.GM.2.5
Solve problems that deal with measurements of length, when to use liquid volumes, when to use mass, temperatures above zero and money using addition, subtraction, multiplication, or division as appropriate (customary and metric).
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4.88Compare and Convert Customary Units5
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4.89Compare Customary Units by Multiplying5
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4.90Compare Metric Units by Multiplying5
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4.91Convert Mixed Customary Units5
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4.92Add and Subtract Mixed Customary Units5
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4.93Add and Subtract Customary Units5
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4.94Which Metric Unit Is Appropriate?5
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4.95Compare and Convert Metric Units5
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4.96Compare Metric Units by Multiplying5
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4.97Convert Mixed Metric Units5
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4.98Convert Mixed Metric Units5
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4.99Add and Subtract Mixed Metric Units5
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4.100Convert, Compare and Subtract Mixed Metric Units5
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4.101Add and Subtract Metric Units5
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4.102Convert Between Metric and Customary Units5
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4.103Area and Perimeter5
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4.58Add and Subtract Money: Up to $10,0005
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4.61Price Lists with Addition and Subtraction15
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4.62Price Lists with Multiplication20
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4.GM.3.1
Determine elapsed time.
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4.104Find the Change in Time I20
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4.105Change in Time Review20
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4.106Find Start and End Times5
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4.GM.3.2
Solve problems involving the conversion of one measure of time to another.
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4.107Convert Time Units5
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4.108Add and Subtract Mixed Time Units5
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4.109Fractions of Time Units5
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4.GM.1.1