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Math 10 Geometry Unit Lesson 1 6.1 (1) Volume Review
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Intro. What did you have for breakfast? What did you have for breakfast? How was it packaged? How was it packaged? Why do you think it came in that shape? Why do you think it came in that shape? Are there other ways to package it? Are there other ways to package it? What should you take into consideration when packaging something? What should you take into consideration when packaging something?
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Handout Formula sheet that can be used on tests Formula sheet that can be used on tests
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Area The amount of flat space and object takes up. The amount of flat space and object takes up. Two-dimensional Two-dimensional Units squared Units squared cm², m²
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Area SquareTriangleTrapezoid a a l h h w b b w b b A = l x wA = b x h A = l x wA = b x h A = h(a + b) 2
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Area cont…. circle r
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Volume Is the amount of space an object takes up. Is the amount of space an object takes up. Three-dimentional Three-dimentional Units are in cubic measures Units are in cubic measures cm³, m³
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3 categories of objects in regards to their volume: Prisms & Cylinders Prisms & Cylinders Pyramids & Cones Pyramids & Cones Spheres Spheres
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A.Prisms and Cylinders Rectangular prism Triangular prism Trapezoidal prismCircular prism (cylinder)
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Volume of Prisms
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B. Pyramids & Cones Come to a point Come to a point Rectangular PyramidTriangular Pyramid
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B. Pyramids & Cones cont… Circular pyramid(cone) Circular pyramid(cone)
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Volume of pyramids and cones
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C. Spheres A round 3 dimensional object A round 3 dimensional object
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Volume of a Sphere
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Surface Area Prisms Prisms Pyramids Pyramids Sphere Sphere
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Classwork Do Q. 1 pg. 260 with class Do Q. 1 pg. 260 with class Do Q. 2 – 5 pg. 260 – 261 Do Q. 2 – 5 pg. 260 – 261 Quiz in 2 days tomorrow on area, surface area, and volume.
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