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5.1
Number and Operation
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Number, Number Relationships, and Number Systems
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5.1.1
Identify place value from the billions through the thousandths place
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5.1.2
Order and compare whole numbers using symbols
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5.1.3
Round whole numbers to the nearest million
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5.1.4
Read and represent numbers to 1,000,000 in standard, expanded, and short word form
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5.1.5
Place integers on a number line
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5.1.6
Use negative integers in real-world situations; e.g., thermometer reading, yardage in a football game
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5.1.7
Identify prime and composite numbers
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5.1.8
Round, order, and compare, using symbols, fractions with like and unlike denominators
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5.1.9
Round, order, and compare, using symbols, decimals to the tenths, hundredths, and thousandths place
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5.1.10
Explain and demonstrate the concept of a percent
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5.1.11
Compare equivalent fractions, decimals, and percents, e.g., 75/100 =.75 = 75%
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5.1.12
Represent ratios and percents as parts of a whole using models and pictures
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5.1.13
Explain and demonstrate the relationship between exponential notation and repeated multiplication; e.g., 3² = 3 x 3
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Operations and Their Properties
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5.1.14
Add and subtract whole numbers between 0 and 1,000,000
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5.1.15
Use commutative, associative, and identity properties to solve problems
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5.1.16
Use divisibility rules for 2, 5, and 10
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5.1.17
Determine the prime factors for a number using a factor tree
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5.1.18
Determine least common multiple
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5.1.19
Determine greatest common factor
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5.1.20
Use order of operations to simplify numeric expressions
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5.1.21
Multiply multi-digit numbers by three-digit numbers
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5.1.22
Divide multi-digit numbers by two-digit numbers with or without remainders
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5.1.23
Add and subtract improper fractions and mixed numbers with unlike denominators
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5.1.24
Add and subtract multi-digit decimals
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5.1.25
Multiply and divide multi-digit decimals
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5.2
Geometry and Spatial Sense
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Two- and Three-Dimensional Shapes, Geometric Properties and Relationships
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5.2.1
Describe properties and attributes of two- and three-dimensional figures; i.e., obtuse angle, acute angle, radius, chord, diagonal, equilateral triangle, isosceles triangle, parallel lines, perpendicular lines
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5.2.2
Draw circles using a compass, and identify the components; i.e., radius, chord, diameter, center, and circumference
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5.2.3
Identify the attributes of an angle and draw angles using protractors
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5.2.4
Determine the degrees of the interior angles of triangles and quadrilaterals
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5.2.5
Determine the characteristics of, and the relationships among, points, lines, line segments, rays, and planes
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Coordinate Geometry
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5.2.6
Use ordered pairs in quadrant 1 of a coordinate grid
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Transformation and Symmetry
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5.2.7
Describe properties of congruent figures and use them to solve problems
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5.3
Data Analysis, Statistics, and Probability
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Data Collection, Display, and Interpretation
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5.3.1
Read and interpret bar, line, and circle graphs, pictographs, and frequency tables
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Data, charts, and graphs: Line graphs (Fifth grade - R.2)
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Data, charts, and graphs: Bar graphs (Fifth grade - R.3)
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Data, charts, and graphs: Pictographs (Fifth grade - R.4)
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Data, charts, and graphs: Frequency charts (Fifth grade - R.5)
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Data, charts, and graphs: Circle graphs (Fifth grade - R.7)
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Probability
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5.3.2
Determine the probability of a simple event and express it as a ratio
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5.3.3
State possible outcomes for a given situation
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5.3.4
Determine possible arrangements of four or fewer items
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Statistical Methods
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5.3.5
Determine or calculate the mode, mean, and range of a set of data
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Predictions, Data Analysis and Inferences
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5.3.6
Make predictions and draw conclusions based on data collected from a sample group
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5.4
Measurement
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Measurable Attributes, Measurement Systems and Units
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5.4.1
Estimate and measure length to the nearest eighth inch
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5.4.2
Measure and apply elapsed time; i.e., time zones, schedules, and calendars
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5.4.3
Measure angles using protractors
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5.4.4
Estimate angle measures using the benchmark angles 45°, 90°, 180°, 270°, and 360
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Measurement Tools, Techniques and Formulas
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5.4.5
Select and use appropriate units when measuring length, area, and volume
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5.4.6
Use formulas to calculate the perimeter and area of squares and rectangles
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5.4.7
Use formulas to calculate the volume of rectangular prisms
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5.5
Algebra, Functions, and Patterns
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Patterns, Relations, and Functions
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5.5.1
Analyze patterns represented by tables and graphs
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5.5.2
Identify a rule for a pattern involving addition, subtraction, or multiplication
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5.5.3
Identify the rule for a pattern and then use the rule to solve a problem
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Numeric and Algebraic Representations
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5.5.4
Identify a variable in an expression
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Mathematical Modeling
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5.5.5
Use equations to solve problems; e.g., 28/x=7
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