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In Activity 1, students will find the surface area and volume of a prism. In Activity 2, they will do the same for a cylinder. Activity 3 is a worksheet to practice the computations. Activity 4 is the word problems in the student book and workbook. Activity 5 is a real-life application question. There is also an optional extra activity for homework. Estimated time for the lesson is 2 hours.  \nMaterials Needed for Lesson 47:  \n􀁸 Boxes, cylinders (cans or oatmeal containers are good), rulers, scissors , and paper.  \n􀁸 Notes on volume and surface area of cylinders and prisms. The geometry notes come from this site:  \n[http://www.asu.edu/courses/mat142ej/geometry/Geometry.pdf](http://www.asu.edu/courses/mat142ej/geometry/Geometry.pdf) (pages 18-22)  \n􀁸 Video A (length 3:50) on volume of a prism.  \nVideo B (length 10:30) on finding surface area of prisms.  \nVideo C (length 5:20) on surface area and volume of cylinders.  \nThe videos are required for teachers and recommended for students.  \n􀁸 1 Worksheet (47 . 1) with answers (attached)  \n􀁸 Mathematical Reasoning Test Preparation for the 2014 GED Test Student Book (pages 106 – 107)  \n􀁸 Mathematical Reasoning Test Preparation for the 2014 GED Test Workbook (pages 150 – 153)  \n􀁸 1 Application Activity (attached)  \n􀁸 1 Extra Activity for Homework or Extra Time  \nObjectives: Students will be able to:  \n􀁸 Solve the earth and moon dimensions word problem  \n􀁸 Find the volume and surface areas of a cylinder (can) and a prism (box)  \n􀁸 Calculate the volume and surface areas and solve word problems  \n􀁸 Do a real-life application activity about pouring a concrete driveway.  \nACES Skills Addressed: N, CT, LS , ALS  \nCCRS Mathematical Practices Addressed: Building Solution Pathways, Mathematical Fluency , Model with Math  \nLevels of Knowing Math Addressed: Intuitive, Pictorial, Concrete, Abstract, and Application  \nNotes:  \nYou can add more examples if you feel students need them before they work. Any ideas that concretely relates to their lives make good examples.  \nFor more practice as a class, feel free to choose some of the easier problems from the worksheets to do together. The “easier” problems are not necessarily at the beginning of each worksheet. Also, you may decide to have students complete only part of the worksheets in class and assign the rest as homework or extra practice.  \nThe GED Math test is 115 minutes long and includes approximately 46 questions. The questions have a focus on quantitative problem solving (45%) and algebraic problem solving (55%) .  \nStudents must be able to understand math concepts and apply them to new situations, use logical reasoning to explain their answers, evaluate and further the reasoning of others, represent real world problems algebraically and visually, and manipulate and solve algebraic expressions.  \nD. Legault, Minnesota Literacy Council, 2014 1  \nLesson 47: Prisms and Cylinders  \nMathematical Reasoning  \n\n|  | This computer-based test includes questions that may be multiple-choice, fill-in-the-blank, choose from a drop-down menu, or drag-and-drop the response from one place to another.\u003Cbr>The purpose of the GED test is to provide students with the skills necessary to either further their education orbe ready for the demands of today’s careers. |  |  |\n| --- | --- | --- | --- |\n| Lesson 47 Warm-up: Solve the earth and moon problem |  | Time: 10 Minutes |  |\n| Write on the board: The circumference of the earth is 40,075 km. The circumference of the moon is about 27% that of the earth.\u003Cbr>Basic Questions:\u003Cbr>􀂃 What is the circumference of the moon in km?\u003Cbr>o (0 .27)(40,075) = 10,820 km\u003Cbr>􀂃 What is the circumference of the moon in miles?\u003Cbr>o Hint if students need it: 0.6 x km = miles\u003Cbr>o","cbCaih5rELOmRSV8","https://ap.wps.com/l/cbCaih5rELOmRSV8","pdf",734165,13,"English","# Lesson 47: Prisms and Cylinders - Mathematical Reasoning\n## Weekly Focus: prisms, cylinders\n## Weekly Skill: calculate area and volume\n## Lesson Summary and Materials Needed\n## Objectives and Mathematical Practices\n## ACES Skills Addressed\n## Lesson 47 Warm-up: earth and moon problem\n## Lesson 47 Activity 1: Volume and Surface Area of Prisms\n## Lesson 47 Activity 2: Volume and Surface Area of Cylinders\n## Lesson 47 Worksheet and Word Problems\n## Real-life application: pouring a concrete driveway\n## Optional extra activity for homework","[{\"question\":\"What concepts do students learn in Lesson 47?\",\"answer\":\"Students learn how to find the volume and surface area of prisms and cylinders and apply those calculations to word problems and real-life contexts.\"},{\"question\":\"How does the lesson start?\",\"answer\":\"The lesson includes a warm-up where students solve an earth-and-moon circumference and radius/diameter set of problems using estimation and related calculations.\"},{\"question\":\"What do Activities 1 and 2 focus on?\",\"answer\":\"Activity 1 focuses on finding surface area and volume of a prism (using a box model). Activity 2 repeats the same skill set for a cylinder (can model).\"},{\"question\":\"What is the real-life application question about?\",\"answer\":\"Students complete a real-life application activity about pouring a concrete driveway, using the geometry ideas from the lesson.\"}]","Lesson 47 - Prisms and Cylinders - Calculate Area and Volume | PDF",33]