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4-1
Mathematical Processes
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4-1.1
Analyze information to solve increasingly more sophisticated problems.
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4-1.2
Construct arguments that lead to conclusions about general mathematical properties and relationships.
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4-1.3
Explain and justify answers to problems on the basis of mathematical properties, structures, and relationships on mathematical properties, structures, and relationships.
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4-1.4
Generate descriptions and mathematical statements about relationships between and among classes of objects.
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4-1.5
Use correct, complete, and clearly written and oral mathematical language to pose questions, communicate ideas, and extend problem situations.
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4-1.6
Generalize connections between new mathematical ideas and related concepts and subjects that have been previously considered.
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4-1.7
Use flexibility in mathematical representations.
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4-1.8
Recognize the limitations of various forms of mathematical representations.
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4-2
Number and Operations
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4-2.1
Recognize the period in the place-value structure of whole numbers: units, thousands, millions, and billions.
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4-2.2
Apply divisibility rules for 2, 5, and 10.
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4-2.3
Apply an algorithm to multiply whole numbers fluently.
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4-2.4
Explain the effect on the product when one of the factors is changed.
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4-2.5
Generate strategies to divide whole numbers by single-digit divisors.
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4-2.6
Analyze the magnitude of digits through hundredths on the basis of their place value.
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4-2.7
Compare decimals through hundredths by using the terms is less than, is greater than, and is equal to and the symbols <, >, and =.
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4-2.8
Apply strategies and procedures to find equivalent forms of fractions.
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4-2.9
Compare the relative size of fractions to the benchmarks 0, 1/2, and 1.
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4-2.10
Identify common the fraction/decimal equivalents 1/2 =.5, 1/4 =.25, 3/4 =.75, 1/3 =.33, 2/3 = .67, multiples of 1/10, and multiples of 1/100.
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4-2.11
Represent improper fractions, mixed numbers, and decimals.
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4-2.12
Generate strategies to add and subtract decimals through hundredths.
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4-3
Algebra
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4-3.1
Analyze numeric, nonnumeric, and repeating patterns involving all operations and decimal patterns through hundredths.
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4-3.2
Generalize a rule for numeric, nonnumeric, and repeating patterns involving all operations.
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4-3.3
Use a rule to complete a sequence or a table.
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4-3.4
Translate among, letters, symbols, and words to represent quantities in simple mathematical expressions or equations.
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4-3.5
Apply procedures to find the value of an unknown letter or symbol in a whole-number equation.
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4-3.6
Illustrate situations that show change over time as either increasing, decreasing, or varying.
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4-4
Geometry
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4-4.1
Analyze the quadrilaterals squares, rectangles, trapezoids, rhombuses, and parallelograms according to their properties.
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4-4.2
Analyze the relationship between three-dimensional geometric shapes in the form of cubes, rectangular prisms, and cylinders and their two-dimensional nets.
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4-4.3
Predict the results of multiple transformations of the same type-translation, reflection, or rotation-on a two-dimensional geometric shape.
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4-4.4
Represent the two-dimensional shapes trapezoids, rhombuses, and parallelograms and the three-dimensional shapes cubes, rectangular prisms, and cylinders.
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4-4.5
Use transformation(s) to prove congruency.
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4-4.6
Represent points, lines, line segments, rays, angles, and polygons.
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4-4.7
Represent with ordered pairs of whole numbers the location of points in the first quadrant of a coordinate grid.
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4-4.8
Illustrate possible paths from one point to another along vertical and horizontal grid lines in the first quadrant of the coordinate plane.
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4-5
Measurement
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4-5.1
Use appropriate tools to measure objects to the nearest unit: measuring length in quarter inches, centimeters, and millimeters; measuring liquid volume in cups, quarts, and liters; and measuring weight and mass in pounds, milligrams, and kilograms.
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4-5.2
Compare angle measures with referent angles of 45 degrees, 90 degrees, and 180 degrees to estimate angle measures.
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4-5.3
Use equivalencies to convert units of measure within the U.S. Customary System: converting length in inches, feet, yards, and miles; converting weight in ounces, pounds, and tons; converting liquid volume in cups, pints, quarts, and gallons; and converting time in years, months, weeks, days, hours, minutes, and seconds.
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4-5.4
Analyze the perimeter of a polygon.
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4-5.5
Generate strategies to determine the area of rectangles and triangles.
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4-5.6
Apply strategies and procedures to determine the amount of elapsed time in hours and minutes within a 12-hour period, either a.m. or p.m.
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4-5.7
Use Celsius and Fahrenheit thermometers to determine temperature changes during time intervals.
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4-5.8
Recall equivalencies associated with liquid volume, time, weight, and length: 8 liquid ounces = 1 cup, 2 cups = 1 pint, 2 pints = 1 quart, 4 quarts = 1 gallon; 365 days = 1 year, 52 weeks = 1 year; 16 ounces = 1 pound, 2,000 pounds = 1 ton; and 5,280 feet = 1 mile.
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4-5.9
Exemplify situations in which highly accurate measurements are required.
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4-6
Data Analysis and Probability
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4-6.1
Compare how data-collection methods impact survey results.
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4-6.2
Interpret data in tables, line graphs, bar graphs, and double bar graphs whose scale increments are greater than or equal to 1.
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4-6.3
Organize data in tables, line graphs, and bar graphs whose scale increments are greater than or equal to 1.
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4-6.4
Distinguish between categorical and numerical data.
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4-6.5
Match categorical and numerical data to appropriate graphs.
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4-6.6
Predict on the basis of data whether events are likely, unlikely, certain, impossible, or equally likely to occur.
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4-6.7
Analyze possible outcomes for a simple event.
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