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Students define key shapes, apply geometric formulas to compute volume and surface area, and solve for missing measures such as height, radius, diameter, or side length when volume or surface area is given. The plan includes guided practice, discussions of reasoning, geometry review, closure activities, and homework. Assessment aligns to GED assessment anchors for the given formulas and composite figures.",{"@graph":63,"@context":119},[64,80,102],{"@type":65,"itemListElement":66},"BreadcrumbList",[67,71,74,77],{"item":68,"name":69,"@type":70,"position":9},"https://docshare.wps.com","Home","ListItem",{"item":72,"name":10,"@type":70,"position":73},"https://docshare.wps.com/template/",2,{"item":75,"name":46,"@type":70,"position":76},"https://docshare.wps.com/template/paper-templates/",3,{"item":78,"name":59,"@type":70,"position":79},"https://docshare.wps.com/template/surface-area-and-volume-of-pyramids-cones-spheres-and-composite-solids-lesson-15/263957/",4,{"url":78,"name":59,"@type":81,"image":82,"author":87,"headline":59,"publisher":90,"fileFormat":93,"inLanguage":57,"description":61,"dateModified":94,"datePublished":95,"encodingFormat":93,"isAccessibleForFree":96,"interactionStatistic":97},"DigitalDocument",{"url":83,"@type":84,"width":85,"height":86},"https://docshare.wps.com/thumbnails/surface-area-and-volume-of-pyramids-cones-spheres-and-composite-solids-lesson-15/263957.png","ImageObject",442,249,{"name":88,"@type":89},"Berry Peter","Person",{"url":68,"name":91,"@type":92},"DocShare","Organization","application/pdf","2026-10-06","2026-09-14",true,{"@type":98,"interactionType":99,"userInteractionCount":101},"InteractionCounter",{"@type":100},"ViewAction",8,{"@type":103,"mainEntity":104},"FAQPage",[105,111,115],{"name":106,"@type":107,"acceptedAnswer":108},"What shapes are covered in this lesson on surface area and volume?","Question",{"text":109,"@type":110},"The lesson covers right pyramids, cones, spheres, and composite solid geometric figures. It also includes strategies for working with composite 3-D shapes.","Answer",{"name":112,"@type":107,"acceptedAnswer":113},"What do students learn to do by the end of the lesson?",{"text":114,"@type":110},"Students define and identify right pyramids, cones, and spheres, then find their surface area and volume. They also solve for missing measurements like height, radius, diameter, or side length using given volume or surface area.",{"name":116,"@type":107,"acceptedAnswer":117},"How does the lesson structure guided practice and activities?",{"text":118,"@type":110},"Students complete pre-lesson review, then work through demonstrations and guided practice for the three basic shapes and for composite solids. Closure includes vocabulary and concept recap, plus homework after a geometry review.","https://schema.org",{"og:url":78,"og:type":121,"og:title":59,"og:site_name":91,"og:description":61},"article",{"robots":123,"canonical":78},"index,follow",{"doc_id":125,"site_id":56},263957,1790560271,{"code":4,"msg":5,"data":128},{"doc_id":125,"user_id":129,"nickname":88,"user_avatar":130,"doc_module":9,"category_id":45,"category_name":46,"doc_title":59,"doc_description":61,"doc_content":131,"file_id":132,"file_url":133,"file_type":134,"file_size":135,"view_count":101,"is_deleted":4,"is_public":9,"is_downloadable":9,"audit_status":9,"page_count":136,"language":137,"language_code":57,"site_id":56,"html_lang":57,"table_of_contents":138,"faqs":139,"seo_title":140,"seo_description":61,"update_tm":141,"read_time":47},1374402524268,"https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","COMMUNITY LEARNING CENTER LESSON PLAN  \nLevel (preGED or GED):  GED   \nContent Area (RLA, Math,  \nScience, Social Studies):  Math   \nGeneral Topic:  Geometry   \nSpecific Lesson Title:  Surface Area and Volume of pyramids, cones, spheres, and composite solids (Lesson 15)   \nEstimated Time:  180 minutes   \n\n|  |  |  |  |\n| --- | --- | --- | --- |\n| Anchor (s) & Level(s) | CCR Standards\u003Cbr>CCRS Level D: Geometry\u003Cbr>• Solve real-world and mathematical problems involving area, volume and surface area of two-and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.\u003Cbr>GED Assessment Anchors\u003Cbr>Q.5.d When given geometric formulas, compute volume and surface area of right pyramids and cones. Solve for side lengths, height, radius, or diameter when given volume or surface area.\u003Cbr>Q.5.e When given geometric formulas, compute volume and surface area of spheres. Solve for radius or diameter when given the surface area.\u003Cbr>Q.5.f Compute surface area and volume of composite 3-D geometric figures, given geometric formulas as needed. | Practice(s) | MP 3 |\n|  |  |  |  |\n|  |  |  |  |\n| SWBAT:\u003Cbr>• Define and identify right pyramids, cones, and spheres .\u003Cbr>• Find surface area and volume of right pyramids, cones, and spheres .\u003Cbr>• Given volume or surface area, solve for side length, height, radius, or diameter .\u003Cbr>• Find surface area and volume of composite solid geometric figures |  |  |  |\n|  |  |  |  |\n| Kaplan New GED Test Strategies, Practice, and Review\u003Cbr>S teck-Vaughn GED: Test Preparation Student Workbook Mathematical Reasoning TI-30xs MultiView calculators\u003Cbr>GED Mathematics formula sheet: [http://www.gedtestingservice. com/uploads/files/0756c16704434ff71e43c8117a5fa738.pdf](http://www.gedtestingservice. com/uploads/files/0756c16704434ff71e43c8117a5fa738.pdf)[ ](http://www.gedtestingservice. com/uploads/files/0756c16704434ff71e43c8117a5fa738.pdf)[Surface area of mixed solids worksheet:](Surface area of mixed solids worksheet:)\u003Cbr>[http://cdn.kutasoftware. com/Worksheets/PreAlg/Surface%20Area%20of%20Solids.pdf](http://cdn.kutasoftware. com/Worksheets/PreAlg/Surface%20Area%20of%20Solids.pdf)\u003Cbr>Volume of mixed solids worksheet: [http://cdn.kutasoftware. com/Worksheets/PreAlg/Volumes%20of%20Solids.pdf](http://cdn.kutasoftware. com/Worksheets/PreAlg/Volumes%20of%20Solids.pdf)[ ](http://cdn.kutasoftware. com/Worksheets/PreAlg/Volumes%20of%20Solids.pdf)[Printable surface area worksheets for various shapes included in the lesson](Printable surface area worksheets for various shapes included in the lesson), including composite solids:\u003Cbr>[http://www. mathworksheets4kids. com/surface-area.php](http://www. mathworksheets4kids. com/surface-area.php)\u003Cbr>Printable volume worksheets for various shapes included in the lesson, including composite solids:\u003Cbr>[http://www. mathworksheets4kids. com/volume.php](http://www. mathworksheets4kids. com/volume.php) |  |  |  |\n|  |  |  |  |\n\n\n| What will the learners do?) |\n| --- |\n| Pre-lesson activities (30 minutes)\u003Cbr>1) Review homework and answer questions . Discuss problems from exit ticket that students had trouble with. Lesson (2 hours plus 10 minute break)\u003Cbr>2) Surface area and volume of pyramids, cones, and spheres\u003Cbr>Direct students to appropriate formulas and discuss . Demonstrate calculation of volume and surface area with each of the three shapes .\u003Cbr>Demonstrate solving for height, radius, or side length when volume or surface area are given (ex. Steck-Vaungh p.\u003Cbr>154 \\#1-2, 6-7)\u003Cbr>Provide time for guided practice . Ask students to discuss and explain thought process in solving the problem .\u003Cbr>Suggested resources:\u003Cbr>Kaplan p. 391\u003Cbr>Steck-Vaughn p. 154-157\u003Cbr>Surface area of mixed solids worksheet:\u003Cbr>[http://cdn.kutasoftware. com/Worksheets/PreAlg/Surface%20Area%20of%20Solids.pdf](http://cdn.kutasoftware. com/Worksheets/PreAlg/Surface%20Area%20of%20Solids.pdf)\u003Cbr>Printable surface area worksheets for various shapes included in the lesson\u003Cbr>[h","cbCaieJ5I9UFMXTn","https://ap.wps.com/l/cbCaieJ5I9UFMXTn","pdf",396540,13,"English","# Community Learning Center Lesson Plan\n## Geometry\n## Surface Area and Volume of Solids\n## Pre-lesson Activities\n## Assessment Activities\n## Homework","[{\"question\":\"What shapes are covered in this lesson on surface area and volume?\",\"answer\":\"The lesson covers right pyramids, cones, spheres, and composite solid geometric figures. It also includes strategies for working with composite 3-D shapes.\"},{\"question\":\"What do students learn to do by the end of the lesson?\",\"answer\":\"Students define and identify right pyramids, cones, and spheres, then find their surface area and volume. They also solve for missing measurements like height, radius, diameter, or side length using given volume or surface area.\"},{\"question\":\"How does the lesson structure guided practice and activities?\",\"answer\":\"Students complete pre-lesson review, then work through demonstrations and guided practice for the three basic shapes and for composite solids. Closure includes vocabulary and concept recap, plus homework after a geometry review.\"}]","Surface Area and Volume of Pyramids, Cones, Spheres, and Composite Solids - Lesson 15 | PDF",1789376031]