6th grade
geometry
STANDARDS
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ESSENTIAL QUESTIONS
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CC.6.G.1 Solve real-world and mathematical problems involving area, surface area, and volume. Find area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.
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How can you use rectangles and triangles to find the area of other polygons?
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CC.6.G.2 Solve real-world and mathematical problems involving area, surface area, and volume. Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = l w h and V = b h to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.
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How does the number of units it takes to fill a right rectangular prism determine its volume? When would we use the filling method to determine the volume of a right rectangular prism? What are three ways to find the volume of a right rectangular prism?
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CC.6.G.3 Solve real-world and mathematical problems involving area, surface area, and volume. Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems.
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How is drawing a polygon on the coordinate plane helpful? How can you use a coordinate plane to find the length of a side of a polygon?
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CC.6.G.4 Solve real-world and mathematical problems involving area, surface area, and volume. Represent three-dimensional figures 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.
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What is a net? What is surface area? How can using the net of a three-dimensional figure help find the surface area of a solid figure?
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