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Solve mathematical problems, including those is real-world contexts, involving area of two-dimensional shapes. (6.G.1)
Solve mathematical problems, including those in real-world contexts, involving volume and surface area of three dimensional objects. (6.G.2, 6.G.4, 7.G.6)
Concepts and Skills
* Power Standard Content
* Find the area of triangles
* Find the area of quadrilaterals
* Find the area of composite shapes (e.g., can be decomposed into rectangles and triangles)
* Find the volume of rectangular prisms (with whole and fractional edge lengths) by filling and using formulas
* Find surface area of 3-dimensional figures (rectangular prisms, triangular prisms, some pyramids) using nets
Draw on a coordinate plane by plotting points
Use coordinate pairs to find side lengths of a polygon
Draw/construct nets using rectangles and triangles to represent 3-dimensional figures (rectangular prisms, triangular prisms, some pyramids)
A student in 6th grade will demonstrate the ability to apply and comprehend critical language by describing how two-dimensional shapes can be used to represent three-dimensional figures, interpreting a problem to determine which measures are involved, explaining how formulas are related to the shape itself, and explaining a solution strategy.
Shapes and objects can be measured in a variety of ways.
Volume is a measure of filling an object.
Surface area is a measure of wrapping an object.
Area is a measure of covering a shape.
Two-dimensional shapes can be used to create three-dimensional objects.
Factual Guiding Questions
How do you find area of triangles? Quadrilaterals? Composite shapes?
How do you find volume of rectangular prisms?
How do you find surface area of prisms? Pyramids?
Conceptual Guiding Questions
Do all rectangular prisms with the same volume have the same surface area?
How do you know when to find surface area? Volume?
How is finding the area of a parallelogram similar to find the area of a triangle? Rectangle?
Engaging/Debatable Guiding Questions
How can you use familiar shapes to find areas/volumes/surface areas of composite shapes and figures?