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Vocabulary plus basic surface area and volume
Solids intro Vocabulary plus basic surface area and volume
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Warm-up With your table group:
Sketch and describe the following shapes: Prism, pyramid, cone, cylinder, sphere
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Shape vocabulary Solids: any 3 dimensional shape
3D- short for 3 dimensional A 3D shape can be measured in 3 directions Left-right Up-down Front-back These directions may be described with words like length, width, height, base, etc.
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prisms What is a prism? A prism is a solid that has two faces that are parallel and congruent. These are called the bases of the prism. If you take any cross section of a prism parallel to those bases by making a cut through it parallel to the bases, the cross section will look just like the bases. Naming Prisms are named for the shape of the base.
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cylinders Definition: cylinders are round prisms. They follow the same rules and format: The bases are congruent, and parallel circles The sides would unroll into a single rectangle
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Pyramids and cones Pyramids:
The base of a pyramid can be any polygon. The sides of a pyramid are always triangles. The number of sides is equal to the number of sides of the polygon that is the base. Cone: a cone follows the same format as a pyramid. Think of it as a round pyramid. The base is a circle, instead of a polygon.
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Sphere
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Solids vocabulary 1.) What does Volume measure? 2.) What does surface area measure?
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Examples
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Answers
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Day two starts here
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How do we Find the Surface Area?
Rectangular Prism: What would the formula be? 𝑆.𝐴. =2(𝐿𝑊+𝐿𝐻+𝑊𝐻)
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How do we Find the Surface Area?
Triangular Prism: What would the formula be? 𝑆.𝐴. =𝐴𝑑𝑑 𝑢𝑝 𝑎𝑙𝑙 5 𝑓𝑎𝑐𝑒𝑠 Make the net or draw the faces separately
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How do we Find the Surface Area?
Cylinder: What would the formula be? Is it possible to add all of the faces? 𝑆.𝐴. =2𝜋 𝑟 2 +2𝜋𝑟ℎ
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Warm - Up
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Square/Rectangular Based Pyramid
Talk with your partner about how you would find the surface area and the volume 𝑆.𝐴. =𝐿∙𝑆+𝑊∙𝑆+𝑊∙𝑆 𝑉= 𝐿∙𝑊 3 ∙𝐻
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