Plane and Solid Geometry Activity Set 3 Trainer Guide Plane and Solid Geometry—Activity Set 3 Pri_Geo_03_TG Copyright© by the McGraw-Hill Companies—McGraw-Hill Professional Development plane and solid geometry Activity Set #3 NGSSS K.G.2.3~K.G.2.5 NGSSS 1.G.3.1 Can You Find? In this activity, participants explore solids, or 3-dimensional shapes, through their tactile sense. MATERIALS • Transparency/Page: Can You Find? • Transparency/Page: Can You Find? Vocabulary Review • Transparency/Page: Can You Find? Clues • a feely bag for each group • table blocks (2 sets of various-sized cones, prisms, cylinders, cubes, and pyramids for each bag) VOCABULARY • cone • prism • cylinder • cube • pyramid • face • edge • vertex TIME: 15 minutes INTRODUCE • Explain that there are certain geometric “tools” which are appropriate for studying solid geometry. These tools include: table blocks geometric blocks everyday items (e.g., cereal boxes, cans, Legos, linking cups, straws, play clay, and Popsicle sticks) Plane and Solid Geometry—Activity Set 3 Copyright© by the McGraw-Hill Companies—McGraw-Hill Professional Development Pri_Geo_03_TG 1 plane and solid geometry Activity Set #3 • Display Transparency: Can You Find?. Can You Find? cylinder cube hexagonal prism trapezoidal prism triangular prism rectangular prism sphere cone • Review the names of the geometric solids and remind participants that using appropriate vocabulary helps K–2 students develop a solid foundation in geometry. • Point to one solid and ask a volunteer to put his or her hand in a feely bag of blocks, without looking in the bag, to find a shape that feels like the one on the transparency that you selected. • Repeat, identifying another solid, and asking a volunteer to find it in the bag. McGraw-Hill Professional Development Plane and Solid Geometry–activity Set #3 Trans_K2_G_03 Transparency: Can You Find? • Display Transparency: Can You Find? Vocabulary Review. • Explain that by the end of second grade, students are expected to describe and classify solids by the shape and number of faces, edges, and vertices. • Review the vocabulary words edge, face, and vertex and their definitions. Point out the location of each geometric term on the cube pictured in the transparency. • Ask volunteers to count the number of faces on the cube and describe the face shape. (6, square faces) Can You Find? vocabulary review vertex edge face edge A line segment formed by the intersection of 2 faces of a solid figure. face The plane side of a solid shape. TEACHING TIP: Discuss how counting unseen faces, edges, and vertices will be very difficult for K–2 students. Have K–2 students manipulate, touch, turn, and hold solid shapes when they count these geometric elements. vertex A point formed by 2 sides of a plane polygon or a point formed by 3 or more edges of a solid figure. How many faces in a cube? • Ask volunteers to count the number of edges on a cube. (12) How many edges in a cube? How many vertices in a cube? McGraw-Hill Professional Development Plane and Solid Geometry–activity Set #3 Transparency: Can You Find? Vocabulary Review Trans_K2_G_03 • Ask volunteers to count the number of vertices on a cube. (8) • Explain that participants will play a game of Can You Find? based on using their senses of touch to feel for the descriptive clues. Some may include counting the number of faces, edges, and/or vertices of the geometric solids. Plane and Solid Geometry—Activity Set 3 Copyright© by the McGraw-Hill Companies—McGraw-Hill Professional Development Pri_Geo_03_TG 2 plane and solid geometry Activity Set #3 DISCUSS AND DO • Explain that participants will form groups of 4 for this activity. • Pass out feely bags filled with table blocks (1 bag for each group). • Explain that in the game, Can You Find?, you will provide a clue and one member of the group will pull out a block or blocks, without looking in the bag, that match the description of the clue. Add that the blocks should go back into the bag after each clue and that the bag will be passed to the next member in the group. • Display Transparency: Can You Find? Clues. Ask participants with the feely bag, “Can you find?”: Can You Find? Clues Kindergarten Kindergarten Kindergarten Kindergarten Kindergarten clue: two blocks that are the same Kindergarten clue: the biggest block Kindergarten clue: the smallest block Kindergarten clue: a block that is like a ball Grade 1 clue: a block that is curved and has a sharp point clue: two blocks that are the same. clue: the biggest block clue: the smallest block clue: a block that is like a ball (sphere) Grade 1 clue: a block that is round Grade 1 clue: a block that is curved and has a sharp point (cone) Grade 1 clue: a block that is round (sphere) Grade 1 clue: a block that is round and flat (cylinder) Grade 1 clue: a block that has only square faces (cube) Grade 2 clue: a rectangular prism Grade 2 clue: a triangular prism Grade 2 clue: a block that has no edges (sphere) Grade 2 clue: a block that has 6 square faces (cube) Grade 1 clue: a block that is round and flat Grade 1 clue: a block that has only square faces Grade 2 clue: a rectangular prism Grade 2 clue: a triangular prism Grade 2 clue: a block that has no edges Grade 2 clue: a block that has 6 square faces McGraw-Hill Professional Development Plane and Solid Geometry–activity Set #3 Trans_K2_G_03 Transparency: Can You Find? Clues • Have participants count the faces, edges, and/or vertices of a few of the shapes (e.g., the rectangular prism and triangular prism) before returning the blocks to the feely bag. Note: If time permits: Have groups play on their own, making up Can You Find? questions that would be appropriate for K–2 students. Plane and Solid Geometry—Activity Set 3 Copyright© by the McGraw-Hill Companies—McGraw-Hill Professional Development Pri_Geo_03_TG 3 plane and solid geometry Activity Set #3 CONCLUDE • Have participants empty the bags onto a table and sort the solids into attribute groups. • Ask a volunteer from each group to briefly summarize its attribute groups. • Ask participants to suggest which type of block a cube is. (Cubes are a special type of rectangular prism.) • Explain that helping students recognize and identify prism shapes will help them in the upper grades to understand volume and the formulas for volume. • Motivate participants to consider how the certainties of geometric principles have led to changes in man’s understanding of the world, by sharing the following brief stories: Columbus, it is fabled, deduced the spherical shape of Earth by watching the top of the sails of a ship come up over the horizon, while observing the top of the wings of a butterfly emerge as it walked around the orange that he was holding in his hand. Edwin Hubble redefined a new galaxy through the extrapolation of a geometric principle that another scientist, Shapely, had used to gauge the size of the Milky Way. With Hubble’s study and observations of the stars through photo plates from many years earlier, he was able to prove that there are tens of billions of galaxies. The Milky Way is the home galaxy of Earth, whirling in space amid millions of other galaxies. End of Can You Find? Plane and Solid Geometry—Activity Set 3 Copyright© by the McGraw-Hill Companies—McGraw-Hill Professional Development Pri_Geo_03_TG 4 plane and solid geometry Activity Set #3 Hidden Shapes In this activity, participants work in pairs with pattern blocks to create shapes described by their partners. MATERIALS • Transparency/Page: Hidden Shapes • pattern blocks (1 bucket for every 20 participants) • overhead pattern blocks (hexagon, trapezoid, triangle, rhombus, square) • file folders (1 per pair of participants) • blank transparency VOCABULARY • hexagon • triangle • rhombus • trapezoid • square TIME: 20 minutes INTRODUCE Explain to participants that they will take turns using pattern blocks to create hidden shapes and that then they will describe these shapes for partners to recreate. • Display on a blank transparency each of the pattern blocks (overhead blocks) and review the names for each piece. hexagon trapezoid triangle rhombus square Plane and Solid Geometry—Activity Set 3 Copyright© by the McGraw-Hill Companies—McGraw-Hill Professional Development Pri_Geo_03_TG 5 plane and solid geometry Activity Set #3 • Explain to participants that they will create their shapes, using these pattern-block pieces. Hidden Shapes Directions Use the file folder provided to create a wall between you and your partner. Partner 1 should: • create a shape by using five or six pattern blocks • name the blocks that Partner 2 will need to create the shape • describe the shape to Partner 2 by using the appropriate directional and shape words Partner 2 should: • take out the blocks named by Partner 1 • create the shape described by Partner 1 • Place on a blank transparency, at random, 1 square, 2 triangles, and 1 hexagon (overhead blocks). • Ask a volunteer to come up and create a shape that you will describe. • Read the following directions to the volunteer. Both partners should compare the 2 shapes to determine if they are the same. Place the square in the center of the transparency. Place the hexagon with one side fitting against Then, Partner 1 should switch roles with Partner 2, creating and describing a shape for Partner 1 to recreate. If time permits, partners may create and describe more complex shapes. McGraw-Hill Professional Development Plane and Solid Geometry–activity Set #3 the bottom of the square. Trans_K2_G_03 Place 1 triangle fitting against the left side of Transparency: Hidden Shapes the square. Place 1 triangle fitting against the right side of the square. • Have participants verify that the volunteer produced the shape that you have described. • Display Transparency: Hidden Shapes and go over the steps with participants, demonstrating how to create a wall with the file folder. (Create an inverted V.) TEACHING TIP: Create in advance a plastic bag of pattern blocks for each pair of participants. Each bag should include approximately 25–30 blocks, including several of each shape. DISCUSS AND DO • Have participants pair off. • Have 1 participant from each pair pick up 1 plastic bag of pattern blocks and 1 file folder. • Give pairs 10–12 minutes to take turns creating and reproducing shapes. Plane and Solid Geometry—Activity Set 3 Copyright© by the McGraw-Hill Companies—McGraw-Hill Professional Development Pri_Geo_03_TG 6 plane and solid geometry Activity Set #3 CONCLUDE • Call participants together. • Ask participants if they were able to reproduce their partners’ shapes by listening to the shape descriptions. • Ask what difficulties, if any, they encountered when reproducing the shapes. Possible answers include: unclear directional words misnamed shapes • Explain to participants that this is a good activity for ELL students and an entertaining way to review directional and geometric vocabulary. • Ask participants how they might modify the activity for various grade levels. End of Hidden Shapes Plane and Solid Geometry—Activity Set 3 Copyright© by the McGraw-Hill Companies—McGraw-Hill Professional Development Pri_Geo_03_TG 7 Can You Find? cylinder cube hexagonal prism trapezoidal prism triangular prism rectangular prism sphere cone Plane and Solid Geometry—Activity Set 3 Copyright© by the McGraw-Hill Companies—McGraw-Hill Professional Development Pri_Geo_03_PM Can You Find? Vocabulary Review vertex edge face edgeA line segment formed by the intersection of 2 faces of a solid figure. face The plane side of a solid shape. vertex A point formed by 2 sides of a plane polygon or a point formed by 3 or more edges of a solid figure. How many faces in a cube? How many edges in a cube? How many vertices in a cube? Plane and Solid Geometry—Activity Set 3 Copyright© by the McGraw-Hill Companies—McGraw-Hill Professional Development Pri_Geo_03_PM Can You Find? Clues Kindergarten clue: two blocks that are the same Kindergarten clue: the biggest block Kindergarten clue: the smallest block Kindergarten clue: a block that is like a ball Grade 1 clue: a block that is curved and has a sharp point Grade 1 clue: a block that is round Grade 1 clue: a block that is round and flat Grade 1 clue: a block that has only square faces Grade 2 clue: a rectangular prism Grade 2 clue: a triangular prism Grade 2 clue: a block that has no edges Grade 2 clue: a block that has 6 square faces Plane and Solid Geometry—Activity Set 3 Copyright© by the McGraw-Hill Companies—McGraw-Hill Professional Development Pri_Geo_03_PM Hidden Shapes Directions Use the file folder provided to create a wall between you and your partner. Partner 1 should: • create a shape by using five or six pattern blocks • name the blocks that Partner 2 will need to create the shape • describe the shape to Partner 2 by using the appropriate directional and shape words Partner 2 should: • take out the blocks named by Partner 1 • create the shape described by Partner 1 Both partners should compare the 2 shapes to determine if they are the same. Then, Partner 1 should switch roles with Partner 2, creating and describing a shape for Partner 1 to recreate. If time permits, partners may create and describe more complex shapes. Plane and Solid Geometry—Activity Set 3 Copyright© by the McGraw-Hill Companies—McGraw-Hill Professional Development Pri_Geo_03_PM
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