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5.N
Number and Operations
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5.N.1
Understand numbers, ways of representing numbers, relationships among numbers and number systems
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5.N.1.A
read, write and compare whole numbers less than 1,000,000, unit fractions and decimals to hundredths (including location on the number line)
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5.N.1.B
recognize and generate equivalent forms of commonly used fractions and decimals
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5.N.1.C
recognize equivalent representations for the same number and generate them by decomposing and composing numbers,
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5.N.1.D
describe numbers according to their characteristics, including whole number common factors and multiples, prime or composite, and square numbers
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5.N.2
Understand meanings of operations and how they relate to one another
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5.N.2.A
represent and recognize division using various models, including quotative and partitive
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5.N.2.B
describe the effects of addition and subtraction on fractions and decimals
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5.N.3
Compute fluently and make reasonable estimates
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5.N.3.A
describe a mental strategy used to compute a given division problem, where the quotient is a multiple of 10 and the divisor is a 1-digit number (e.g., 350 /7)
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5.N.3.B
demonstrate fluency with efficient procedures for adding and subtracting decimals and fractions (with unlike denominators) and division of whole numbers
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5.N.3.C
apply and describe the strategy used to compute a division problem up to a 3- digit by 2-digit and addition and subtraction of fractions and decimals
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5.N.3.D
estimate and justify products, and quotients of whole numbers and sums differences of decimals and fractions
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5.A
Algebraic Relationships
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5.A.1
Understand patterns, relations and functions
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5.A.1.A
make and describe generalizations about geometric and numeric patterns
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5.A.1.B
represent and analyze patterns using words, tables and graphs
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5.A.2
Represent and analyze mathematical situations and structures using algebraic symbols
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5.A.2.A
using all operations, represent a mathematical situation as an expression or number sentence using a letter or symbol
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5.A.2.B
use the commutative, distributive and associative properties for fractions and decimals
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5.A.3
Use mathematical models to represent and understand quantitative relationships
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5.A.3.A
model problem situations and draw conclusions, using representations such as graphs, tables or number sentence
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5.A.4
Analyze change in various contexts
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5.A.4.A
identify, model and describe situations with constant or varying rates of change
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5.G
Geometric and Spatial Relationships
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5.G.1
Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships
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5.G.1.A
analyze and classify 2- and 3-dimensional shapes by describing the attributes
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5.G.1.C
predict and justify the results of subdividing, combining and transforming shapes
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5.G.2
Specify locations and describe spatial relationships using coordinate geometry and other representational systems
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5.G.2.A
use coordinate systems to specify locations, describe paths and find the distance between points along horizontal and vertical lines
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5.G.3
Apply transformations and use symmetry to analyze mathematical situations
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5.G.3.A
predict, draw and describe the results of sliding/ translating, flipping/ reflecting and turning/ rotating around a center point of a polygon
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5.G.3.C
identify polygons and designs with rotational symmetry
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5.G.4
Use visualization, spatial reasoning and geometric modeling to solve problems
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5.G.4.A
given a net of a prism or cylinder, identify the 3-dimensional shape
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5.M
Measurement
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5.M.1
Understand measurable attributes of objects and the units, systems and processes of measurement
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5.M.1.A
identify and justify the unit of measure for area (customary and metric)
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5.M.1.B
identify the equivalent weights and equivalent capacities within a system of measurement
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5.M.2
Apply appropriate techniques, tools and formulas to determine measurements
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5.M.2.C
determine volume by finding the total number of the same size units needed to fill a space without gaps or overlaps
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5.M.2.E
convert from one unit to another within a system of linear measurement (customary and metric)
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5.D
Data and Probability
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5.D.1
Formulate questions that can be addressed with data and collect, organize and display relevant data to answer them
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5.D.1.A
evaluate data-collection methods
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5.D.1.C
describe methods to collect, organize and represent categorical and numerical data
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Data, charts, and graphs: Read a table (Fifth grade - R.1)
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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: Stem-and-leaf plots (Fifth grade - R.6)
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Data, charts, and graphs: Circle graphs (Fifth grade - R.7)
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Data, charts, and graphs: Histograms (Fifth grade - R.8)
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Data, charts, and graphs: Choose the best type of graph (Fifth grade - R.9)
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5.D.2
Select and use appropriate statistical methods to analyze data
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5.D.2.A
compare related data sets
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5.D.3
Develop and evaluate inferences and predictions that are based on data
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5.D.3.A
given a set of data make and justify predictions
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5.D.4
Understand and apply basic concepts of probability
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5.D.4.A
describe the degree of likelihood of events using such words as certain, equally likely and impossible
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