15.4. PROBLEM SOLVING Three- Dimensional Solids? Are You Ready? Lesson Opener Making Connections. Resources. Essential Question

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1 5.4 PROBLEM SOLVING Three- Dimensional Solids? Essential Question How can making a model help you identify and describe attributes of three-dimensional solids? How can making a model help you identify and describe threedimensional solids? Lesson Opener Making Connections Invite children to tell you what they know about three-dimensional solids. Hold up models of three-dimensional solids, one at a time. What is the name of the solids? (Answers will vary.) What are the shapes of the faces on the three-dimensional solids? (Answers will vary.) Using the Digital Lesson You might have children model the lesson by using clay to try to form a sphere, a cylinder, and a cube. Learning Task Have children look at the three objects on the screen. What three objects are parts of the guessing game? (a baseball, a trash can, and a dog house) How are the objects alike? (Possible answer: they are all three-dimensional) How are the objects different? (Possible answer: some have flat surfaces, some have curved surfaces, they have faces that are different shapes) What clue is given by one of the children? (Possible answer: The object is shaped like a cylinder.) Literacy and Mathematics Choose one or more of the following activities. Invite children to play I Spy using three-dimensional objects in the classroom. Have children take turns, spying objects of different shapes. Have children work together to create a mural of pictures cut out from magazines that show real-world objects shaped like rectangular prisms, cylinders, cones, and cubes. Texas Essential Knowledge and Skills Geometry and Measurement.6.B Distinguish between attributes that define a two-dimensional or three-dimensional figure and attributes that do not define the shape.6.e Identify three-dimensional solids, including spheres, cones, cylinders, rectangular prisms (including cubes), and triangular prisms, and describe their attributes using formal geometric language MATHEMATICAL PROCESSES..B Use a problem-solving model..d Communicate mathematical ideas and reasoning..e Create and use representations..f Analyze mathematical relationships Are You Ready? Access Prior Knowledge Use the Are You Ready? 5.4 in the Assessment Guide to assess children s understanding of the prerequisite skills for this lesson. Vocabulary Go to Multimedia eglossary at thinkcentral.com Materials MathBoard, models of three-dimensional solids, Three-Dimensional Shapes (see eteacher Resources) For the student Resources Interactive Student Edition provides students with an interactive learning environment! Math on the Spot Video Tutor itools Virtual Manipulatives Soar to Success Math Online Intervention For the teacher Digital Management Center organizes program resources by TEKS! eteacher Edition Online Assessment System Lesson A

2 Unlock the Problem Read the following aloud to the class. Emma wants to draw an object for the riddle in the box. Read the riddle in the box while the children follow along. I am a toy. I have only a curved surface. Work through the Problem Solving graphic organizer together. Guide children to solve the problem by asking these questions. What does Emma want to do? draw an object for the riddle What information is she given? The object is a toy. The object has only a curved surface. Why do you think looking at the models of the solids can help Emma solve the riddle? She can look at the surfaces on the solids to help her find the solid with only a curved surface. How will Emma know what object to draw? Possible answer: A solid with only a curved surface is a sphere. So, Emma will need to draw a toy that is shaped like a sphere. What other objects could Emma draw for the riddle? Possible answers: a balloon, a soccer ball, a marble Name 5.4? Essential Question Unlock the Problem Emma wants to draw an object for this riddle. Read What information am I given? PROBLEM SOLVING Three- Dimensional Solids toy The object is a with only a curved surface. I am a toy. I have only a curved surface. Solve Plan What is my plan or strategy? Show how you solve the problem. I look at the solids that have a curved surface. A sphere has only a curved surface. A ball is a toy that is a sphere. How can making a model help you identify and describe three-dimensional solids? HOME CONNECTION Your child solved this problem by looking at models of three-dimensional solids and finding a model with only a curved surface. Geometry and Measurement.6.B,.6.E MATHEMATICAL PROCESSES..B,..D,..E,..F I can make a model. Module 5 five hundred sixty-three 56 English Language Learners Leveled Activities Beginning: Activity 9 Intermediate: Activity 44 Advanced: Activity 57 Advanced High: Activity 4 ELPS.A.,.G., 4.C..H., 4.F.5, 4.G..C., 4.C.4, 4.F.9 4.F.6, 4.G., 4.G.4 thinkcentral.com for the ELL Activity Guide containing these leveled activities. 56 Module 5 ELL Language Support ELPS.B.,.D.,.F. Strategy: Describe Visual / Verbal / Linguistic Partners Materials: real objects or pictures of objects representing a cone, a cube, a cylinder, a triangular prism, a rectangular prism, and a sphere; for example: an ice cream cone, a toy block that is a cube, a can, a triangular prism-shaped tent, a rectangular tissue box, and a globe Children can demonstrate and build proficiency with math vocabulary by describing shapes. Have each pair choose one of the objects to describe. Ask them to describe the object by telling about the faces, vertices, and flat or curved surfaces. Ask pairs to share their descriptions. Have the class guess which object they are describing. Have them identify the solid.

3 Try Another Problem Draw an object for the riddle. Use models of solids to help you.... I have 6 faces that are squares. I am a hat. I have flat surface. I have curved surface. I am a box. I have faces that are squares. I have 4 faces that are rectangles. Math Talk: Possible answer: I can look at the model I drew to see if it has the surfaces, faces, edges, and vertices to match the riddle. 564 five hundred sixty-four What information am I given? What is my plan or strategy? Check children s drawings. Accept all reasonable drawings. Math Talk Mathematical Processes How does making a model help you solve a riddle? Try Another Problem Use the questions below to guide children through Exercise, and use similar questions to guide them through Exercises and. Some children may have difficulty drawing solids. Encourage them to draw as well as they can, and accept all reasonable drawings. What information does the riddle give you? The object is a block; the object has 6 faces that are squares. Which solids have faces that are squares? A cube has faces that are squares, and other rectangular prisms can have some faces that are squares. Which solid has 6 faces that are squares? a cube How will you know what object to draw? Possible answer: I will draw a block that is shaped like a cube. Ask volunteers to describe the blocks they drew. How are all the blocks you drew alike? They are all shaped like a cube. How are the blocks different? Possible answers: They are different sizes, different colors, and have different designs on them. Math Talk Mathematical Processes Use Math Talk to focus on children s understanding of how making a model helps them solve the riddles. Enrich Visual / Verbal / Linguistic Partners Materials: pictures of or real objects representing a cone, a cube, a cylinder, a triangular prism, a rectangular prism, and a sphere COMMON ERRORS Error Children may draw an object that matches only part of the riddle. Springboard to Learning Encourage children to reread the riddle after they have drawn the object. You may want to suggest that as they reread the riddle they underline the words that helped them know what object to draw. Some children may find it helpful to have models of the solids available. Write the names of three-dimensional figures on the board. Read the following riddles and have students write the answer. Explain that some riddles might have more than one answer. Encourage children to work in pairs. I have no flat surfaces. What am I? sphere I only have flat surfaces. Some surfaces are different sizes than others. They all have the same shape. What am I? rectangular prism I have a curved surface. What am I? sphere or cone or cylinder I only have flat surfaces. What am I? rectangular prism or triangular prism or cube Go to Go to thinkcentral.com for additional enrichment activities in the Enrich Activity Guide. Lesson

4 Share and Show Have children complete Exercise 4 in the same way that Exercises - were solved. Use the checked exercise(s) for Quick Check. Quick Check Name Share and Show Draw an object for the riddle. Use models of solids to help you. 4. I am a can. I have flat surfaces. I have curved surface. Check children s drawings. Accept all reasonable drawings. IF a child misses the checked exercise(s) THEN Differentiate Instruction with RtI Tier Lesson 77 Problem Solving If children answered the checked exercise(s) correctly, assign Exercises 5 and 6. Problems These problems require children to use higher order thinking skills and/or multiple steps to solve the problem. In Exercise 5, the riddle describes a triangular prism. In Exercise 6, children draw two different blocks to match the riddle. They may draw a cube and a rectangular prism that is not a cube, or they may draw two different rectangular prisms that are not cubes. Math on the Spot Video Tutor 5. Problem Solving I am a box. I have faces that are triangles. I have faces that are rectangles. 6. Multi-Step I have 6 faces. I have 8 vertices. Draw two different blocks I could be. Module 5 Lesson 4 five hundred sixty-five 565 Through the Math on the Spot Video Tutor, children will be guided through an interactive solving of this type of H.O.T. problem. Use this video to also help children solve the H.O.T. problem in the Interactive Student Edition. With these videos and the H.O.T. problems, children will build skills needed in the TEXAS assessment. Math on the Spot videos are in the Interactive Student Edition and at thinkcentral.com. 565 Module 5 Name LESSON Three-Dimensional Solids 77.6.B,.6.E OBJECTIVE Use a model to identify and describe three-dimensional solids. Look at the surfaces and the faces on these three-dimensional solids. sphere cone cylinder rectangular prism cube triangular prism Circle an object for the riddle. Use models of solids to help you.. I have 6 faces that are rectangles.. I have flat surfaces. I have curved surface.. I have flat surface. I have curved surface. RtI Tier Lesson 77 Geometry and Measurement 5 Enrich Enrich 76 Name Enrich 76 Shape Riddles Draw a line to match each riddle to its answer.. You can slide me. You can roll me. I have only face. Which shape am I?. I have 5 faces. I cannot roll. You can slide me. Which shape am I?. I have 6 faces. I have edges. All of my faces are the same. Which shape am I? Writing and Reasoning Write your own riddle about a three-dimensional shape. Check children s work. E76

5 Daily Assessment Task Mathematical Processes Choose the correct answer. 7. Analyze Tim has a toy that is shaped like a sphere. Which toy does Tim have? Daily Assessment Task Can children identify and describe three-dimensional solids? 8. Mari picks a block with flat and curved surfaces. Which block does she pick? IF NO YES THEN Soar to Success Math Warm-Up 9. Enrich 76 Homework and Practice Lesson Multi-Step David puts two blocks together to make a rectangular prism. Which blocks does David use? 0. TEXAS Test Prep Which solid is a triangular prism? HOME CONNECTION Have your child explain how he or she solved one of the problems in this lesson. 566 five hundred sixty-six TEXAS Test Prep Coach Test Prep Coach helps teachers to identify common errors that children can make. In Exercise 0, if children selected: rectangular prism, they do not know that a triangular prism is a solid with faces that are rectangles and faces that are triangles. cone, they do not know that a triangular prism does not have a curved surface.? Essential Question Write Math How can making a model help you identify and describe three-dimensional solids? Possible answer: When I make a model, it helps me know if I have drawn an object that matches the description in the riddle. Differentiated Centers Kit Literature April s First Word Children read the book, and identify three-dimensional shapes. Activities More Alike Than Not Children complete orange Activity Card 0 by sorting shapes by the number of sides. Lesson

6 5 DO NOT EDIT--Changes must be made through "File info" CorrectionKey=B DO NOT EDIT--Changes must be made through "File info" CorrectionKey=B Geometry and Measurement.6.B,.6.E MATHEMATICAL PROCESSES..B,..D,..E,..F Homework and Practice 5.4 Lesson Lesson Check Check Name Choose the correct answer. PROBLEM SOLVING Three- Dimensional Solids 4. Wendy finds a toy that is shaped like a cube. Which toy does Wendy find? Draw an object for the riddle.. TEXAS Test Prep I have a curved surface. I have no flat surfaces. 5. Multi-Step Winston puts four blocks together to make a tall cylinder. Which blocks does Winston use?. I have flat surface. I have curved surface. Problem Problem Solving Solving I have faces that are rectangles. I have faces that are triangles. Module 5 6. Which solid is a rectangular prism? five hundred sixty-seven _MTXESE086760_M5HP04.indd 567 //4 9:4 PM Homework and Practice Use the Homework and Practice pages to provide children with more practice on the concepts and skills of this lesson Module five hundred sixty-eight _MTXESE086760_M5HP04.indd 568. /0/5 :0 PM

7 Name Vocabulary. Color the cube with. (p. 558). Color the cone with. (p. 55) Module 5 Assessment. Color the cylinder with. (p. 55) Concepts and Skills 4. Circle the objects you could trace to draw the shape. q TEKS.6.E red blue yellow Formative Assessment Use the Module Assessment to assess children s learning and progress in the module. The formative assessment provides the opportunity to adjust teaching methods for individual or whole class instruction. Module 5 Assessment 5. Circle the object below that has only a curved surface. q TEKS.6.E Image Credits: Comstock/Getty Images 6. Draw a line under the objects below that have both curved and flat surfaces. q TEKS.6.E Module 5 five hundred sixty-nine 569 Data-Driven Decision Making Based on the results of the Module 5 Assessment, use the following resources to strengthen individual or whole class instruction. Item Lesson TEKS* Common Error Intervene With RtI* Tier Lessons Soar to Success Math E May circle only one of the two correct objects E May not recognize three-dimensional attributes of real objects ; 9.6 *TEKS Texas Essential Knowledge and Skills; RtI Response to Intervention Module 5 Assessment 569

8 Module 5 Assessment 7. Which number completes the sentence? A rectangular prism has? faces. q TEKS.6.E Which shape can you draw if you trace around a flat surface of a cube? q TEKS.6.E 9. Which solid has 6 faces? q TEKS.6.E TEXAS Test Prep 0. Which solid has 6 vertices? q TEKS.6.E Depth of Knowledge. Which solid matches the riddle? q TEKS.6.E I have 8 vertices. I have edges. DOK Level Items 7, 9, 0 4 6, 8, 570 five hundred seventy Data-Driven Decision Making Item Lesson TEKS* Common Error Intervene With RtI* Tier Lessons Soar to Success Math E May count faces incorrectly 76 9.; E May not understand how two-dimensional shapes are related to the flat surfaces of three-dimensional solids E May count faces incorrectly 76 9.; E May count vertices incorrectly 76 9.; E May have difficulty associating attributes with three-dimensional solids *TEKS Texas Essential Knowledge and Skills; RtI Response to Intervention 570