2018-2019 Math Units
Unit 1: Area and Surface Area
NC.6.G.1 Create geometric models to solve real-world and mathematical problems to:
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Find the area of triangles by composing into rectangles and decomposing into right triangles.
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Find the area of special quadrilaterals and polygons by decomposing into triangles or rectangles.
NC.6.G.4 Represent right prisms and right pyramids using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.
Vocabulary Words Core 1-4
Dimension
Altitude/Height
Base (of a triangle)
Length
Width
Area
Surface area
Square Unit
Net
Decompose
Acute Triangle
Obtuse Triangle
Right Triangle
Quadrilateral
Rectangle
Parallelogram
Trapezoid
Polygon
Composite Shape
Prism
Rectangular Prism
Triangular Prism
Pyramid
Base (of a prism/pyramid)
Edge
Face
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Unit 2: Factors and Multiples
NC.6.NS.4 Understand and use prime
factorization and the relationships between
factors to:
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Find the unique prime factorization for a whole number.
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Find the greatest common factor of two whole numbers less than or equal to 100.
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Use the greatest common factor and the distributive property to rewrite the sum of two whole numbers, each less than or equal to 100.
Vocabulary Words Core 1-4
factors
factor pairs
Greatest Common Factor (GCF)
prime factorization
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Least Common Multiple (LCM)
multiples
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Distributive Property
Equivalent expressions
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Unit 3: Ratios
NC.6.RP.1 Understand the concept of a ratio and use ratio language to:
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Describe a ratio as a multiplicative relationship between two quantities.
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Model a ratio relationship using a variety of representations.
NC.6.RP.2 Understand that ratios can be
expressed as equivalent unit ratios by
finding and interpreting both unit ratios in context.
NC.6.RP.3 Use ratio reasoning with
equivalent whole-number ratios to solve
real-world and mathematical problems by
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Creating and using a table to compare ratios.
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Finding missing values in the tables.
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Using a unit ratio.
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Converting and manipulating measurements using given ratios.
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Plotting the pairs of values on the coordinate plane.
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NC.6.RP.4 Use ratio reasoning to solve
real-world and mathematical problems with
percents by:
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Understanding and finding a percent of a quantity as a ratio per 100.
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Using equivalent ratios, such as benchmark percents (50%, 25%, 10%, 5%, 1%), to determine a part of any given quantity.
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Finding the whole, given a part and the percent.
Vocabulary Words Core 1-4
Ratio
Quantity
Part
Whole/total
Part-to-part ratio
Part-to-whole ratio
Equivalence
Equivalent ratios
Unit ratio
Unit rate
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Customary system
convert
Metric system
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Ratio table
Scale up
Scale down
Double number line
Interval
Coordinate plane
Origin
Ordered pair
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Percent (%)
Benchmark percents
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Unit 4: Fraction Division
Unit 5: Computing with Decimals
Unit 6: Integers & Rational Numbers
Unit 7: Coordinate Plane
Unit 8: Algebraic Expressions
Unit 9: Algebraic Equations
Unit 10: Volume
Unit 11: Statistics