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6.1
Number Operations and Concepts
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6.1.1
Students use the concept of place value to read and write decimals (to 1000ths) in words, standard, and expanded form.
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6.1.2
Students multiply decimals (10ths & 100ths) and divide whole numbers by 2-digit divisors and divide decimals by whole numbers.
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6.1.3
Students represent the number line using integers.
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6.1.4
Students explain their choice of estimation and problem solving strategies and justify results when performing number operations with fractions and decimals in problem-solving situations.
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6.1.5
Students identify prime and composite numbers and apply prime factorization to numbers less than 100.
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6.1.6
Students demonstrate an understanding of fractions and decimals by:
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6.1.6.a
representing fractions as division of whole numbers;
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6.1.6.b
converting between mixed numbers and improper fractions;
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6.1.6.c
simplifying fractions and mixed numbers;
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6.1.6.d
writing fractions in equivalent forms;
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6.1.6.e
using parts of a set;
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6.1.6.f
rounding decimal numbers to 10ths, 100ths, and whole numbers (units) place; and
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6.1.6.g
converting between decimals (from .01 to .99), fractions and representing percentages.
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6.1.7
Students add and subtract mixed numbers with like denominators.
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6.1.8
Students represent repeated multiplication in exponential form.
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6.2
Geometry
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6.2.1
Students classify, describe, compare, and draw representations of 1- and 2- dimensional objects and angles.
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6.2.2
Students identify and classify congruent objects by properties appropriate to grade level.
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6.2.3
Students communicate the reasoning used in identifying geometric relationships in problem-solving situations appropriate to grade level.
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6.3
Measurement
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6.3.1
Students apply estimation and measurement of length to content problems and express the results in metric units (centimeters and meters).
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6.3.2
Students apply estimation and measurement of weight to content problems and express the results in U.S. customary units (ounces, pounds, and tons).
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6.3.3
Students apply estimation and measurement of capacity to content problems and express the results in U.S. customary units (teaspoons, tablespoons, cups, pints, quarts, gallons).
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6.3.4
Students demonstrate relationships within the U.S. customary units for weight and capacity and within the metric system (centimeters to meters) in problem-solving situations.
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6.3.5
Students determine the area and perimeter of regular polygons and the area of parallelograms, with and without models.
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6.4
Algebra
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6.4.1
Students recognize, describe, extend, create, and generalize patterns, such as numeric sequences, by using manipulatives, numbers, graphic representations, including charts and graphs.
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6.4.2
Students apply their knowledge of patterns to describe a constant rate of change when solving problems.
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6.4.3
Students represent the idea of a variable as an unknown quantity, a letter, or a symbol within any whole number operation.
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6.5
Data Analysis and Probability
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6.5.1
Students systematically collect, organize, and describe/represent numeric data using line graphs.
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6.5.2
Students, given a scenario, recognize and communicate the likelihood of events using concepts from probability (i.e., impossible, equally likely, certain) appropriate to grade level.
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