FW 2.3: Slicing Pyramids and Prisms Learning Target: I will identify the two-dimensional shapes that can be created from slicing three-dimensional shapes. HW: Complete the SBAC Practice Test Part 2 and Correct with the Zaption video: SBAC Practice Test Pt 2 Warm Up: Find the surface area and volume of the hexagonal prism. π ππ π΄πππ ππ π΅ππ π = ππ πππ π ππ πΊππππππ π¨πππ = π ππ + π π × π = ππ + π ππ = ππ + ππ = ππππππ π½πππππ = ππ × π = πππππ Review of Rectangular Prisms Where is a vertex? Where is an edge? Where is a face? Vertex Edge Face Review of Rectangular Prisms β’ Why is it called a rectangular prism? β The base of the prism is in the shape of a rectangle. Prisms are named by their base. β’ How many faces does a rectangular prism have? β 6 faces β’ How many vertices does a rectangular prism have? β 8 vertices β’ How many edges does a rectangular prism have? β 12 edges Vocab Toolkit What are the different 2D shapes that you can make by slicing a cube with one cut? Triangle, square, rectangle, non-rectangular parallelogram, pentagon, hexagon Math Shorts Video β Slicing 3D Figures https://vimeo.com/82400980 After the video, turn and talk to your partner about the different 2D shapes you can make from slicing a pyramid. p. 6 The Cube: Using play-doh, create a model of a cube. Using dental floss, slice through the middle of the cube in a direction perpendicular to the base. Sketch how you sliced the cube and then sketch and name the figure formed by the cross-section. A square - the same shape! If the slice was made in a different area (but still perpendicular to the base), would the shape of the cross-section be the same or different? The same β always a square! β’ Put the cube back together and slice through the middle of the cube in a direction parallel to the base. Sketch how you sliced the cube and then sketch and name the figure formed by the cross-section. Square If the slice was made in a different area (but still parallel to the base), would the shape of the cross-section be the same or different? The same β always a square! β’ Put the cube back together and create a cross-section that would make a triangle shape. Cut off a corner! Did you noticeβ¦ β’ When you make a cut through four faces, you make a four-sided shape (rectangle or non-rectangular parallelogram). β’ When you make a cut through five faces, you make a five-sided shape (pentagon). β’ When you make a cut through six faces, you make a six-sided shape (hexagon). Rectangular Prisms Using play-doh, create a right rectangular prism that is not a cube. The bases of the prism are squares and the lateral faces are rectangles. Using dental floss, slice through the middle of the prism in a direction that is perpendicular to the base (and parallel to the faces). Sketch how you sliced the prism and then sketch and name the figure formed by the cross-section. Rectangle The same β always a rectangle! Square The same β always a square! Slice off a corner. Rectangle Triangle The same β always a rectangle! The same β always a triangle! Rectangle Circle The same β always a rectangle! The same β always a circle! Triangle The same β always a triangle! Square The same β always a square! Rectangle Square Triangle, non-rectangular prism, pentagon, hexagon FW 2.3: Slicing Pyramids and Prisms Did I reach my Learning Target? I will identify the two-dimensional shapes that can be created from slicing three-dimensional shapes. HW: Complete the SBAC Practice Test Part 2 and Correct with the Zaption video: SBAC Practice Test Pt 2
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