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6.N
Number and Operations
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6.N.1
Understand numbers, ways of representing numbers, relationships among numbers and number systems
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6.N.1.A
apply and understand whole numbers to millions, fractions and decimals to the thousandths (including location on the number line)
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6.N.1.B
recognize and generate equivalent forms of fractions, decimals and benchmark percents
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6.N.1.C
recognize equivalent representations for the same number and generate them by decomposing and composing numbers
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6.N.2
Understand meanings of operations and how they relate to one another
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6.N.2.B
describe the effects of multiplication and division on fractions and decimals
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6.N.2.C
apply properties of operations (including order of operations) to positive rational numbers
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6.N.2.D
identify square and cubic numbers and determine whole number roots and cubes
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6.N.3
Compute fluently and make reasonable estimates
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6.N.3.C
multiply and divide positive rational numbers
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6.N.3.D
estimate and justify the results of multiplication and division of positive rational numbers
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6.N.3.E
solve problems using ratios and rates
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Geometry: Find side lengths of similar figures (Sixth grade - Y.15)
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Ratios, proportions, and percents: Write a ratio to describe objects in a picture (Sixth grade - Z.1)
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Ratios, proportions, and percents: Equivalent ratios (Sixth grade - Z.2)
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Ratios, proportions, and percents: Proportions (Sixth grade - Z.3)
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Ratios, proportions, and percents: Unit rates and equivalent rates (Sixth grade - Z.4)
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Ratios, proportions, and percents: Scale drawings (Sixth grade - Z.5)
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6.A
Algebraic Relationships
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6.A.1
Understand patterns, relations and functions
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6.A.1.B
represent and describe patterns with tables, graphs, pictures, symbolic rules or words
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6.A.1.C
compare various forms of representations to identify patterns
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6.A.1.D
identify functions as linear or nonlinear from tables or graphs
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6.A.2
Represent and analyze mathematical situations and structures using algebraic symbols
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6.A.2.A
use symbolic algebra to represent unknown quantities in expressions or equations and solve one-step equations
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6.A.2.B
use the commutative, distributive and associative properties to generate equivalent forms for simple algebraic expressions
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6.A.3
Use mathematical models to represent and understand quantitative relationships
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6.A.3.A
model and solve problems, using multiple representations such as tables, expressions and one-step equations
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6.A.4
Analyze change in various contexts
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6.A.4.A
construct and analyze representations to compare situations with constant or varying rates of change
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6.G
Geometric and Spatial Relationships
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6.G.1
Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships
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6.G.1.A
identify similar and congruent shapes
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6.G.2
Specify locations and describe spatial relationships using coordinate geometry and other representational systems
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6.G.2.A
use coordinate systems to construct geometric shapes
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6.G.3
Apply transformations and use symmetry to analyze mathematical situations
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6.G.3.A
describe the transformation from a given pre-image using the terms reflection/flip, rotation/turn, and translation/ slide
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6.G.3.C
create polygons and designs with rotational symmetry
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6.G.4
Use visualization, spatial reasoning and geometric modeling to solve problems
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6.G.4.A
use spatial visualization to identify isometric representations of mat plans
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6.G.4.B
draw or use visual models to represent and solve problems
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6.M
Measurement
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6.M.1
Understand measurable attributes of objects and the units, systems and processes of measurement
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6.M.1.A
identify and justify the unit of measure for area and volume (customary and metric)
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6.M.1.C
solve problems involving elapsed time (hours and minutes)
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6.M.2
Apply appropriate techniques, tools and formulas to determine measurements
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6.M.2.B
identify and justify an angle as acute, obtuse, straight, or right
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6.M.2.C
solve problems involving the area or perimeter of polygons
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6.M.2.E
convert from one unit to another within a system of measurement (mass and weight)
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6.D
Data and Probability
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6.D.1
Formulate questions that can be addressed with data and collect, organize and display relevant data to answer them
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6.D.1.A
formulate questions, design studies and collect data about a characteristic
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6.D.1.C
interpret circle graphs; create and interpret stem-and-leaf plots
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6.D.2
Select and use appropriate statistical methods to analyze data
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6.D.2.A
find the range and measures of center, including median, mode and mean
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6.D.3
Develop and evaluate inferences and predictions that are based on data
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6.D.3.A
use observations about differences between 2 samples to make conjectures about the populations from which the samples were taken
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6.D.4
Understand and apply basic concepts of probability
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6.D.4.A
use a model (diagrams, list, sample space, or area model) to illustrate the possible outcomes of an event
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