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11 Geometric Figures - Macmillan/McGraw-Hill
CHAPTE R 11 Geometric Figures The Key Vocabulary BIG Idea English How do I identify and describe two and three-dimensional figures? Español side vertex two-dimensional figure lado vértice figura bidimensional Colin and Jaden in C Now we need a figure with 4 equal sides. Classroom Clues C Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. The next figure has 3 sides. Oh, a triangle! Up there. A square! The window! The last figure has no sides. four hundred forty-three 443 Name Draw an X over the object that is a different figure. 1. 2. Draw a line to match the objects that are the same figure. 3. 4. 5. 11 12 1 10 7 6 5 6. Li got a picture frame for her birthday. What shape is it? Circle the name. triangle square Online Option 444 four hundred forty-four rectangle Take the Online Readiness Quiz. This page checks skills needed for the chapter. Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 2 3 9 8 Dear Family, Today my class started the chapter Geometric Figures. In this chapter, I will learn about two and three-dimensional figures. Here are my vocabulary words, an activity we can do, and a list of books we can look for in our local library. Love, Key Vocabulary Activity ou the hild tell y c r u o y you e Hav ns while ig s d a o r shape of r g. Look fo are drivin s, rectangle triangles, s. and circle squares, side side vertex vertex Online Option Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. See the multilingual eGlossary link at connectED.mcgraw-hill.com to find out more about these words. There are 13 languages. Books ooks to Read The e Village of Round und and Square uare Houses by Ann Grifalconi Littlee Brown & Co. City Shap Shapes by Daniel Jacobs Capstone Press The Greedy Triangle by Marilyn Burns Scholastic, Inc. four hundred forty-five 445 Estimada familia: Hoy mi clase comenzó el capítulo Las figuras geométricas. En este capítulo aprenderé sobre figuras de dos y de tres dimensiones. A continuación están mis palabras del vocabulario, una actividad que podemos hacer y una lista de libros que se encuentran en nuestra biblioteca local. Cariños, d Activida anle a su íd p , to u a en el a Al andar a la form ig d s le e u niño(a) q s de las señale n e n e ti que Busquen tránsito. los, rectángu , s lo u g n triá . y círculos s o d a r d cua Vocabulario clave lado lado vértice vértice Opción en línea Visiten el eGlosario políglota en connectED.mcgraw-hill.com para aprender más acerca de estas palabras. Hay 13 idiomas. Figuras sólidas de Daniel Shepard Red Brick El jarrón mágico. Una aventura matemática. de Anno Mitsumasa Editorial Juventud Geometría un vistazo a Monstruópolis de John Burstein Gareth Stevens Publishing 446 four hundred forty-six Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Libros recomendados Multi-Part Lesson Name PART A B 1 C Two-Dimensional Figures Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. First use this page as a workmat. Then draw a figure on the geoboard. Write the name of the figure. Write the number of sides and vertices. name sides vertices GLE 0106.4.1 Recognize, describe, and draw geometric figures. Also addresses GLE 0106.1.4. Geometric Figures four hundred forty-seven 447 Draw a figure. Write the name of the figure. Write the number of sides and vertices. 1. 2. name sides name vertices sides vertices 4. 3. sides 448 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. name name vertices four hundred forty-eight sides vertices Geometric Figures Multi-Part Lesson Name PART A 1 B C Two-Dimensional Figures Get Ready Main Idea I will identify and describe twodimensional figures. gures. Vocabulary twodimensional figures side vertex triangle rectangle square circle Flat figures are called two-dimensional figures. Some two-dimensional figures have straight sides and vertices. side triangles rectangles squares circles vertex Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Check Write how many. 1. 2. sides sides vertices vertices 4. 3. sides sides vertices vertices 5. E Talk Math What objects in your classroom are the shape of a circle? Geometric Figures GLE 0106.4.1 Recognize, describe, and draw geometric figures. Also addresses GLE 0106.1.4. four hundred forty-nine 449 Practice Write how many. 6. 7. sides sides vertices vertices 8. 9. sides sides vertices vertices 10. 11. sides vertices vertices 12. 450 13. four hundred fifty sides sides vertices vertices Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. sides Name Remember 14. Draw a picture. Use and , , . Color Color Color Squares, circles, triangles, and rectangles can be different sizes. Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Color , Geometric Figures four hundred fifty-one 451 Draw and name each figure. 15. I am a two-dimensional figure that has 3 sides and 3 vertices. What figure am I? 16. I am a two-dimensional figure that has no sides and no vertices. What figure am I? 17. I am a two-dimensional figure that has 4 vertices. All my sides are the same length. What figure am I? 452 triangle rectangle circle square four hundred fifty-two Math at Home Activity: Ask your child to draw objects found in your home in the shapes of triangles, rectangles, squares and circles. Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. There are many two-dimensional figures you can see in the city. 18. Circle the names of the figures you see in the picture. Multi-Part Lesson PART A B 1 C Name Find a Pattern Main Idea I will find a pattern to solve a problem. Sophie is drawing a pattern with these figures. Which figure could come next in the pattern? Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. What do I know? Underline what you know. What do I need to find? Circle the question. How will I solve the problem? I will find a pattern. Find a pattern. Identify the pattern. Draw the figure that could come next. Is my answer reasonable? How do I know? Geometric Figures GLE 0106.1.2 Apply and adapt a variety of appropriate strategies to problem solving, including estimation, and reasonableness of the solution. Also addresses GLE 0106.4.1. four hundred fifty-three 453 Remember Find a pattern to solve. 1. Sam made this pattern. Draw a picture of the missing object. 2. Jenica drew this pattern. Draw the missing figure. 4. Julie made a line of blocks. She left out one block. Draw the block that is missing. 454 four hundred fifty-four Math at Home Activity: Create a pattern out of objects in the shapes of two-dimensional figures. Have your child copy the pattern. Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 3. Alex made this necklace. He needs one more button to finish the pattern. Draw the button that could come next in the pattern. Name Extra Practice e Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Color the triangles purple. Color the squares green. Color the rectangles yellow. Color the circles red. Geometric Figures four hundred fifty-five 455 Vertices Two-Dimensional Figures Play with a partner. Take turns. Spin the You Will Need 0 4 4 3 0 4 4 3 . Find the next two-dimensional figure with that many vertices and move to that space. The first person to Finish wins! Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 456 four hundred fifty-six Multi-Part Lesson Name PART A B 2 C Make New Figures Get Ready You can make new figures by putting other figures together. Main Idea I will use pattern blocks to make new figures. Check Use pattern blocks to make a new figure. Draw the new figure. Figure Use Draw your figure. Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 1. hexagon trapezoid 2. trapezoid triangle 3. E Talk Math How can you find out which figures are needed to make a new figure? GLE 0106.4.2 Compose and decompose geometric shapes. Geometric Figures four hundred fifty-seven 457 Practice Use pattern blocks to make a new figure. Draw the new figure. Figure Use Draw your figure. 4. parallelogram 5. triangle parallelogram triangle hexagon trapezoid 458 four hundred fifty-eight Math at Home Activity: Go on a figure scavenger hunt! While driving or walking, draw attention to doors and windows in the shape of rectangles, road signs in the shape of triangles, and roofs in the shape of trapezoids. Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 6. Make It Right Colin tried to use these figures to make a trapezoid. Tell why Colin is wrong. Make it right. Draw the missing figure. Multi-Part Lesson Name PART A B 2 C Take Apart Figures Get Ready Main Idea I will take figures apart to make new figures. I made two new figures from one figure! You can take apart figures to make new figures. Take apart a Take apart a parallelogram to trapezoid to make make 2 triangles. a parallelogram and a triangle. Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Check Use the pattern block shown. Cover it using other figures. Draw the pattern blocks you used. Tell how many. Name the blocks. 1. 2. 3. E Talk Math What new figures can you make by taking a square apart? GLE 0106.4.2 Compose and decompose geometric shapes. Geometric Figures four hundred fifty-nine 459 Practice Trace each figure on another piece of paper. Cut along the dashed lines. Circle the new figures you made. square 4. 5. triangle 6. parallelogram rectangle trapezoid triangle rectangle triangle trapezoid parallelogram hexagon square 7. Make 1 trapezoid and 3 triangles. 460 four hundred sixty 8. Make 2 parallelograms and 2 triangles. Math at Home Activity: Ask your child to show you how to take apart a rectangle to make two other shapes. Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. lines to take apart each hexagon. Use pattern blocks to help. Multi-Part Lesson PART A 2 B C Name Main Idea I will choose a strategy to solve a problem. Your Mission: sion: The window in my room has 4 sides and 4 vertices. Each side is the same length. What figure is the window? Find the figure that is described. What do I know? Underline what you know. What do I need to find? Circle the question. Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. How will I solve the problem? One way is to draw a diagram. Remember, the window has 4 sides. Draw a diagram. Use the clues to draw a diagram. Name the figure. Is my answer reasonable? How do I know? Geometric Figures GLE 0106.1.2 Apply and adapt a variety of appropriate strategies to problem solving, including estimation, and reasonableness of the solution. Also addresses GLE 0106.4.2. four hundred sixty-one 461 • Act it out • Draw a diagram • Guess, check, and revise Choose a strategy. Solve. 1. I have 3 sides and 3 vertices. What figure am I? I am a . 2. Lynn covered this pattern block with the same 6 figures. Which figures did she use? 6 4. Mary put 2 triangles together to make a new figure. How many sides does the new figure have? sides 462 To assess partial mastery of GLE 0106.4.1 and partial mastery of GLE 0106.4.2, see your Tennessee Assessment Book. Math at Home Activity: Take advantage of problem-solving opportunities during daily routines such as riding in the car, bedtime, doing laundry, putting away groceries, planning schedules, and so on. Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 3. Thomas made a picture frame. It has 4 sides and 4 vertices. The sides are not the same length. What shape is the frame? Mid-Chapter Check Name Color the figures that match the name. 1. triangle 2. rectangle 3. square 4. circle Write how many. 5. sides 6. sides Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. vertices 7. sides vertices 8. sides vertices vertices 9. Jill and Carlos each have a figure. Jill’s figure has 4 sides of equal length and 4 vertices. Carlos’ figure has no sides or vertices. Name the two figures. and Geometric Figures four hundred sixty-three 463 Write the numbers and add. 10. + + = = Draw counters to show the numbers on a ten-frame. 11. 12. 4 14. tens ones tens tens ones ones How many in all? How many in all? 15. Victor buys 5 marbles each week. How many marbles will he have in 6 weeks? 464 four hundred sixty-four Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Write the numbers. 13. tens ones 6 marbles Geometric Figures Multi-Part Lesson Name PART A B 3 C Three-Dimensional Figures Identify each figure. Write the name. Write the number of faces and vertices. faces vertices Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. name GLE 0106.4.1 Recognize, describe, and draw geometric figures. Geometric Figures four hundred sixty-five 465 Identify each figure. Write the name. Write the number of faces and vertices. 1. name faces 2. name faces 3. Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. vertices name faces 466 vertices name faces 5. vertices name faces 4. vertices four hundred sixty-six vertices Geometric Figures Multi-Part Lesson Name PART A B 3 C Three-Dimensional Figures Get Ready Main Idea I will identify threedimensional figures. g Vocabulary pyramid cube sphere cone cylinder rectangular prism A three-dimensional figure is a solid shape with length, width, and height. pyramid cube cone cylinder sphere rectangular prism Check Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Look at the three-dimensional figure. Circle the objects with the same shape. 1. cylinder 2. cone 3. pyramid 4. E Talk Math How is a rectangular prism like your math book? GLE 0106.4.1 Recognize, describe, and draw geometric figures. Geometric Figures four hundred sixty-seven 467 Practice Find an object in your classroom that matches each three-dimensional figure. Draw the object. 6. 5. rectangular prism cylinder 8. 7. sphere cone 9. 10. cube pyramid Explain your sorting rule. 468 four hundred sixty-eight Math at Home Activity: Have your child find objects at home that have the same shape as the three-dimensional figures above. Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 11. E Write Math Sort the objects into two groups. Circle each object in one group with green green. Circle each object in the other group with blue. Multi-Part Lesson Name PART A B 3 C Faces and Vertices Get Ready Main Idea I will identify faces and vertices of three-dimensional figures. Three-dimensional figures have faces and vertices. The face is the flat side. The vertex is where the faces meet. vertex Vocabulary face vertex face vertex face face vertex Check Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Use three-dimensional figures to help. Circle all the three-dimensional figures that match the rule. 1. 8 vertices 2. 5 faces 3. 0 vertices 4. 6 faces 5. E Talk Math How is a cube different from a sphere? GLE 0106.4.1 Recognize, describe, and draw geometric figures. Geometric Figures four hundred sixty-nine 469 Practice Use three-dimensional figures to help. Write how many. 7. 6. vertex vertices face faces 9. 8. vertices vertices faces faces 470 four hundred seventy Math at Home Activity: Help your child find three-dimensional figures at home and then identify the faces and vertices. Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 10. How are these three-dimensional figures alike? How are they different? Multi-Part Lesson Name PART A 4 B Make and Take Apart Figures Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. First use this page as a workmat. Then choose a three-dimensional figure. Trace the faces of the figure in the sand. Identify the faces of each three-dimensional figure. GLE 0106.4.1 Recognize, describe, and draw geometric figures. Also addresses GLE 0106.4.2. Geometric Figures four hundred seventy-one 471 Identify each two-dimensional figure. Circle the three-dimensional figure that could have made it. 1. 2. 3. Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 4. 472 four hundred seventy-two Geometric Figures Multi-Part Lesson Name PART A 4 B Make and Take Apart Figures Get Ready Main Idea I will make and take apart threedimensional figures. The faces of three-dimensional figures are two-dimensional figures. The face of this cone is a circle. Check Circle the faces that make the figure. 1. Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Circle the figure made by the faces. 2. 3. 4. E Talk Math Name the faces of a pyramid and a cube that are alike. Name the faces that are different. GLE 0106.4.1 Recognize, describe, and draw geometric figures. Also addresses GLE 0106.4.2. Geometric Figures four hundred seventy-three 473 Practice Circle the faces that make the object. 5. 6. 7. Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 8. 474 four hundred seventy-four Name Circle the three-dimensional object made by the faces. 9. 10. Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 11. 12. Geometric Figures four hundred seventy-five 475 Solve. 13. If you took the faces off this cube, what two-dimensional figures would you have? Draw each face. Write the names of the faces. 14. If you put these two-dimensional figures together, what three-dimensional figure could you make? Write the name of the three-dimensional figure you could make. figure two-dimensional figure two-dimensional figure 16. Name a three-dimensional figure made from 2 or more two-dimensional figures. 476 To assess partial mastery of GLE 0106.4.1, partial mastery of GLE 0106.4.2, and partial mastery of GLE 0106.1.4, see your Tennessee Assessment Book. Math at Home Activity: Have your child trace around objects found at home to make triangles, squares, rectangles, and circles. Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 15. Name the two-dimensional figures needed to make the figure shown. Write the name of the figure and each two-dimensional figure needed to make it. Figures can be used to make art. This book belongs to Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Circle the rectangles. Rosie made a picture of flowers. D FOLD DOWN A B circles How many circles can you find? Steve is painting a picture. Copyright Copyright © © Macmillan/McGraw-Hill, Macmillan/McGraw-Hill, aa division division of of The The McGraw-Hill McGraw-Hill Companies, Companies, Inc. Inc. squares C Alyssa is using crayons to make a picture of her classroom. She needs 18 squares in her picture to show the students’ desks. How many more squares does she need to draw? Chapter Review/Test Name Vocabulary Use the letter to fill in the blanks. 1. Some have straight sides and vertices. A. B. 2. A triangle has 3 C. . 3. A has length, width, and height. 4. A D. Word Bank sides three-dimensional figure two-dimensional figures vertex is where sides meet. Concepts Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Color the figures that match the name. 5. circle 6. triangle Write how many sides and vertices. 7. sides sides 8. vertices vertices Circle the new figure you can make by putting these figures together. 9. Geometric Figures four hundred seventy-nine 479 Circle the new figures you can make. 10. trapezoid rectangle triangle parallelogram Circle the objects that match the description. 11. 2 faces, 0 vertices 12. 6 faces, 8 vertices Complete the sentence. 13. A sphere and a cube are different because 15. Lance took apart a cube. How many squares did he have? squares 480 four hundred eighty Geometric Figures Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 14. George made a threedimensional figure out of 2 squares and 4 rectangles. What figure did he make? Test Practice Name Listen as your teacher reads each problem. Choose the correct answer. A. B. Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Listen as your teacher reads each problem. Choose the correct answer. 1. 3. 2. 4. 2 Geometric Figures 3 4 four hundred eighty-one 5 481 5. 20 45 33 8. 28 0 1 2 3 4 5 6 7 8 9 10 1112 28 45 33 20 20 28 33 45 6+3=9 10 - 7 = 3 45 33 28 20 33 45 20 28 7 + 3 = 10 3+4=7 9. Eli has 3 board games. He got 7 more for his birthday. How many board games does he have now? 6. 5 4 3 2 board games cards 482 four hundred eighty-two Geometric Figures Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 10. Tito had 10 cards. Kela took some of the cards. Now Tito only has 6 cards. How many cards did Kela take? 7.
