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5Grade 5 Standards
Top Mathematicians
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Number & Operations
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5.N.1.1
Estimate solutions to division problems in order to assess the reasonableness of results.
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5.1Estimate Quotients20
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5.2Estimate Quotients Up to 100020
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5.3Estimate Quotients Up to 10,00020
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5.N.1.2
Divide multi-digit numbers, by one- and two-digit divisors, using efficient and generalizable procedures, based on knowledge of place value, including standard algorithms.
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5.4Divide Two Numbers with Operands Up to 1220
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5.5Division with Dividends Up to 6020
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5.6Increasing Division Patterns20
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5.7Division Patterns with Zeroes15
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5.8Divide Numbers Ending in Zeroes15
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5.9Division with Remainder with Dividend Up to 100020
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5.10Division with Remainder with Dividend Up to 10,00020
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5.11Division with Remainder with Divisor Up to 100015
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5.12Division with Divisors Up to 1015
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5.13Division with Divisors Up to 10015
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5.14Division with Divisors Up to 100 II20
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5.15Divide Money Amounts10
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5.N.1.3
Recognize that quotients can be represented in a variety of ways, including a whole number with a remainder, a fraction or mixed number, or a decimal and consider the context in which a problem is situated to select and interpret the most useful form of the quotient for the solution.
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5.9Division with Remainder with Dividend Up to 100020
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5.10Division with Remainder with Dividend Up to 10,00020
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5.11Division with Remainder with Divisor Up to 100015
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5.12Division with Divisors Up to 1015
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5.13Division with Divisors Up to 10015
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5.16Division with Decimals15
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5.17Division with Decimal Quotients15
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5.18Division with Decimal Quotients and Rounding15
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5.N.1.4
Solve real-world and mathematical problems requiring addition, subtraction, multiplication, and division of multi-digit whole numbers. Use various strategies, including the inverse relationships between operations, the use of technology, and the context of the problem to assess the reasonableness of results.
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5.5Division with Dividends Up to 6020
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5.12Division with Divisors Up to 1015
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5.13Division with Divisors Up to 10015
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5.14Division with Divisors Up to 100 II20
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5.19Subtraction with Numbers Up to 50000005
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5.20Numbers Up to 500000020
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5.21Estimate Differences20
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5.22Estimate Sums with Numbers Up to 100,00020
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5.23Estimate Differences20
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5.24Estimate Sums20
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5.25Multiplication with Operands Up to 100 III20
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5.26Multiplication Up to 100015
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5.27Multiply Three or More Numbers Up to 100015
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5.28Multiply Three or More Numbers20
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5.29Multiply Three or More Numbers Up to 10020
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5.30Division with Divisors Up to 10020
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5.31Simplify Expressions15
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5.N.2.1
Represent decimal fractions (e.g., 1/10. 1/100) using a variety of models (e.g., 10 by 10 grids, rational number wheel, base-ten blocks, meter stick) and make connections between fractions and decimals.
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5.32Decimals with Models10
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5.33Understanding Decimals Expressed in Words10
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5.N.2.2
Represent, read and write decimals using place value to describe decimal numbers including fractional numbers as small as thousandths and whole numbers as large as millions.
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5.N.2.3
Compare and order fractions and decimals, including mixed numbers and fractions less than one, and locate on a number line.
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5.N.2.4
Recognize and generate equivalent decimals, fractions, mixed numbers, and fractions less than one in various contexts.
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5.40Choose Equivalent Decimals15
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5.41Choose the Equivalent Fraction Up to Twentieths20
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5.42Choose the Equivalent Fraction15
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5.43Reducing Fractions to Lowest Terms20
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5.44Reduce to Lowest Terms20
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5.45Convert Between Improper Fractions and Mixed Numbers20
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5.N.3.1
Estimate sums and differences of fractions with like and unlike denominators, mixed numbers, and decimals to assess the reasonableness of the results.
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5.N.3.2
Illustrate addition and subtraction of fractions with like and unlike denominators, mixed numbers, and decimals using a variety of representations (e.g., fraction strips, area models, number lines, fraction rods).
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5.N.3.3
Add and subtract fractions with like and unlike denominators, mixed numbers, and decimals, using efficient and generalizable procedures, including but not limited to standard algorithms in order to solve real-world and mathematical problems including those involving money, measurement, geometry, and data.
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5.49Add and Subtract Decimal Numbers Up to 2 Places10
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5.50Add and Subtract Decimal Numbers Up to 3 Places20
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5.51Add and Subtract Decimals Up to 1020
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5.52Add and Subtract Decimal Up to 10015
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5.53Add and Subtract Decimals15
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5.54Add and Subtract Fractions20
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5.55Add, Subtract Fractions with Like Denominators15
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5.56Subtract Fractions20
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5.57Add Fractions20
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5.58Add Two Mixed Fractions20
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5.59Subtract Two Mixed Fractions20
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5.60Add Fractions with Unlike Denominators20
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5.61Subtract Fractions with Unlike Denominators20
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5.62Add and Subtract Fractions with Unlike Denominators15
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5.63Add Multiple Fractions with Unlike Denominators20
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5.64Add Multiple Fractions10
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5.65Add Mixed Numbers with Unlike Denominators10
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5.66Subtract Mixed Numbers with Unlike Denominators15
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5.67Add and Subtract Mixed Numbers15
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5.68Add and Subtract Money: Up to $10,0005
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5.N.3.4
Find 0.1 more than a number and 0.1 less than a number. Find 0.01 more than a number and 0.01 less than a number. Find 0.001 more than a number and 0.001 less than a number.
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5.N.1.1
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Algebraic Reasoning & Algebra
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5.A.1.1
Use tables and rules of up to two operations to describe patterns of change and make predictions and generalizations about real-world and mathematical problems.
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5.69Multiplication Input/Output Tables20
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5.70Multiplication Input/Output Tables: Find the Rule20
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5.71Function Tables15
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5.72Write Linear Functions10
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5.73Convert Graphs to Input/Output Tables5
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5.A.1.2
Use a rule or table to represent ordered pairs of whole numbers and graph these ordered pairs on a coordinate plane, identifying the origin and axes in relation to the coordinates.
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5.74Coordinate Graphs Review10
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5.75Coordinate Graphs with Decimals and Negative Numbers15
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5.76Coordinate Graphs Review with Whole Numbers10
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5.77Graph Points on a Coordinate Plane10
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5.78Relative Coordinates10
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5.79Graph Linear Functions15
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5.80Graph a Line from an Equation10
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5.81Graph a Line from a Function Table10
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5.A.2.1
Generate equivalent numerical expressions and solve problems involving whole numbers by applying the commutative, associative, and distributive properties and order of operations (no exponents).
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5.82Properties of Addition5
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5.83Factors of Multiplication15
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5.84Choose Properties of Multiplication15
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5.85Properties of Multiplication with Factors Up to 1215
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5.31Simplify Expressions15
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5.A.2.2
Determine whether an equation or inequality involving a variable is true or false for a given value of the variable.
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5.86Solutions to Variable Inequalities10
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5.87Variable Inequalities10
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5.A.2.3
Evaluate expressions involving variables when values for the variables are given.
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5.A.1.1
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Geometry & Measurement
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5.GM.1.1
Describe, classify and construct triangles, including equilateral, right, scalene, and isosceles triangles. Recognize triangles in various contexts.
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5.90Types of Triangles5
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5.91Types of Triangles5
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5.GM.1.2
Describe and classify three-dimensional figures including cubes, rectangular prisms, and pyramids by the number of edges, faces or vertices as well as the shapes of faces.
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5.92Identify Planar and Solid Shapes5
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5.93Identify Simple and Complex Solid Shapes5
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5.94Count Edges5
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5.95Count Vertices5
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5.96Count Faces5
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5.97Count Edges, Vertices and Faces5
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5.GM.1.3
Recognize and draw a net for a three-dimensional figure (e.g., cubes, rectangular prisms, pyramids).
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5.GM.2.1
Recognize that the volume of rectangular prisms can be determined by the number of cubes (n) and by the product of the dimensions of the prism (a×b×c = n). Know that rectangular prisms of different dimensions (p, q, and r) can have the same volume if a×b×c = p×q×r = n.
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5.GM.2.2
Recognize that the surface area of a three-dimensional figure with rectangular faces with whole numbered edges can be found by finding the area of each component of the net of that figure. Know that three-dimensional shapes of different dimensions can have the same surface area.
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5.101Surface Area5
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5.GM.2.3
Find the perimeter of polygons and create arguments for reasonable values for the perimeter of shapes that include curves.
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5.102Find the Perimeter5
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5.103Perimeter: Find the Missing Side Length5
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5.GM.3.1
Measure and compare angles according to size.
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5.104Acute, Right, Obtuse, and Straight Angles5
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5.105Angles of 90, 180, 270 and 360 Degrees5
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5.106Identify Angles10
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5.GM.3.2
Choose an appropriate instrument and measure the length of an object to the nearest whole centimeter or 1/16-inch.
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5.GM.3.3
Recognize and use the relationship between inches, feet, and yards to measure and compare objects.
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5.GM.3.4
Recognize and use the relationship between millimeters, centimeters, and meters to measure and compare objects.
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5.107Which Metric Unit Is Appropriate?5
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5.108Compare and Convert Metric Units5
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5.GM.1.1
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Data & Probability
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5.D.1.1
Find the measures of central tendency (mean, median, or mode) and range of a set of data. Understand that the mean is a "leveling out" or central balance point of the data.
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5.109Calculate Mean10
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5.110Calculate Range10
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5.111Calculate Mode10
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5.112Calculate Median10
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5.113Calculate Mean, Median, Mode and Range10
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5.114Mean: Find the Missing Number10
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5.115Range: Find the Missing Number10
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5.116Mean, Median, Mode, and Range: Find the Missing Number10
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5.117Mode: Find the Missing Number10
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5.118Median: Find the Missing Number10
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5.119Interpret Charts to Find Mode5
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5.120Interpret Charts to Find Mean, Median, Mode, and Range5
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5.121Interpret Charts to Find Median5
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5.122Interpret Charts to Find Range5
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5.123Interpret Charts to Find Mean5
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5.D.1.2
Create and analyze line and double-bar graphs with whole numbers, fractions, and decimals increments.
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5.73Convert Graphs to Input/Output Tables5
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5.124Interpret Line Graphs5
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5.125Create Line Graphs5
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5.126Interpret Bar Graphs5
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5.127Create Bar Graphs Using Tables5
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5.128Create Bar Graphs5
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5.D.1.1