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Published byGeorgina Lee Modified over 9 years ago
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1) Return exams: Scoring Make-Ups Algebra 2) Review: Trigonometry Similarity 3) New: Solids 4) Make-up problems from exam
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Are 3-dimensional Some have only polygons for faces and are called polyhedra (singular, polyhedron)
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This one is a polyhedron:
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This one is not a polyhedron: LINK
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Include prisms, pyramids, cylinders, cones, and spheres Have surface area (units are squared) Have volume (units are cubed)
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Examples of different types:
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Use a formula to find the surface area Use a formula to find the volume Correctly label with specific terms (FOURTH PROBLEM SET)
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Have 2 identical (congruent) faces (called bases – these lie in parallel planes)
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Are named for the shape of their bases pentagonal prism vs. hexagonal prisms
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Have lateral faces that connect the bases Are named for the angle of their lateral edges The lateral edges can be “right” or “oblique”
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What shape are the lateral faces? pentagonal prism hexagonal prisms
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What shape are the lateral faces for these?
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Right rectangular prism Oblique rectangular prism
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Classify prisms as right or oblique Classify prisms based on congruent faces Label a prism’s bases and lateral faces
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“SA” stands for surface area “LA” stands for lateral area (the sum of the areas of lateral faces) “BA” stands for base area (use appropriate polygon area formula)
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LA is made up of the three yellow lateral faces BA is one of the red bases
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“V” stands for volume “BA” stands for base area (use appropriate polygon area formula) “H” stands for height (be careful if it’s oblique!)
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BA is from one of the congruent triangles H is the distance between the congruent triangles
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BA is from one of the congruent pentagon bases H is the perpendicular distance between the congruent pentagons
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BA is from one of the Triangular bases H is the long edge of the brown lateral faces
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Label a prism’s lateral faces Find the surface area of a prism Find the volume of a prism (FIFTH & SIXTH PROBLEM SETS)
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Have 2 identical faces (bases) The two bases are circles The two bases lie in parallel planes
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Do not have lateral faces; instead there is one, big rectangle wrapped around connecting the bases
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Recall the formula for SA of a prism Compare it to our cylinder formula
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Recall the formula for V of a prism Compare it to our cylinder formula
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Label a cylinder’s height and radius Find the surface area of a prism Find the volume of a prism (SEVENTH & EIGHTH PROBLEM SETS)
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