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6.1
Number and Operation
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Number, Number Relationships, and Number Systems
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6.1.1
Use a fraction to represent parts of a whole, division, or a ratio
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6.1.2
Explain and use whole number percents 1 to 100
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6.1.3
Find the equivalent forms among fractions, decimals, and whole number percents
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6.1.4
Compare and order fractions, decimals, mixed numbers and integers
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6.1.5
Generate a list of factors, prime factors, and multiples
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6.1.6
Use rules to determine divisibility by 2, 3, 5, 6, 9, and 10
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Operations and Their Properties
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6.1.7
Explain the effects of arithmetic operations on fractions and decimals
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6.1.8
Identify the uses of the commutative and associative properties of addition and multiplication; e.g., grouping numbers to make addition or multiplication easier
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6.1.9
Use order of operations; i.e., multiplication, division, addition and subtraction, to simplify numeric expressions
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Computational Fluency and Estimation
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6.1.10
Multiply and divide decimals
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6.1.11
Add, subtract, multiply, and divide fractions
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6.1.12
Express an exponent in standard form
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6.1.13
Use problem solving strategies to solve and verify the results of problems
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6.1.14
Estimate the results of problems involving whole numbers, fractions, and decimals
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6.2
Geometry and Spatial Sense
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Two- and Three-Dimensional Shapes, Geometric Properties and Relationships
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6.2.1
Identify relationships between pairs of angles; i.e., adjacent, vertical, complementary, and supplementary
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6.2.2
Identify polygons; i.e., triangle, rectangle, square, rhombus, parallelogram, trapezoid, pentagon, hexagon, octagon
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6.2.3
Describe the characteristics of a right triangle
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Coordinate Geometry
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6.2.4
Use ordered pairs to locate a point on a coordinate plane
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Transformation and Symmetry
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6.2.5
Identify, describe, and model motion geometry; i.e., rotations, reflections, and translations
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Visualization, Spatial Reasoning, and Geometric Modeling
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6.2.6
Draw basic geometric figures using appropriate tools; i.e., circle with a compass, triangle and rectangle with a ruler or straight edge
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6.3
Data Analysis, Statistics, and Probability
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Data Collection, Display, and Interpretation
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6.3.1
Collect and organize data, select and use an appropriate display; i.e., a frequency table, a line and bar graph
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Probability
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6.3.2
Count possible outcomes using lists
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6.3.3
Use experiments or simulations to determine probabilities
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6.3.4
Use decimal values and ratios to represent probability
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Statistical Methods
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6.3.5
Calculate the mean, median, mode, and range of a set of data
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Predictions, Data Analysis and Inferences
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6.3.6
Make predictions based on trends identified in tables and graphs
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6.4
Measurement
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Measurable Attributes, Measurement Systems and Units
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6.4.1
Measure length to the nearest sixteenth of an inch
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6.4.2
Select an appropriate unit of measure; e.g., What unit do you use to measure a person's height?
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6.4.3
Convert unit measurements within the same system (metric and standard)
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6.4.4
Distinguish among perimeter, area, surface area, and volume
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Measurement Tools, Techniques and Formulas
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6.4.5
Select appropriate tools and units to determine the measurements needed for calculating perimeter, circumference, area, surface area, and volume
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6.4.6
Use formulas to determine the circumference and area of circles and the perimeter and area of triangles and parallelograms
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6.4.7
Use area formulas to determine the surface area of right prisms and square pyramids
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6.4.8
Use formulas to determine the volume of rectangular prisms
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6.5
Algebra, Functions, and Patterns
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Patterns, Relations, and Functions
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6.5.1
Identify and describe patterns represented by tables, graphs, and sequences
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Numeric and Algebraic Representations
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6.5.2
Use a variable to represent an unknown quantity
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Mathematical Modeling
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6.5.3
Use representations to solve problems; i.e., tables and numerical sentences
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Rates of Change
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6.5.4
Recognize examples of change over time; e.g., growth of a sixth grader from September to May
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