Faces of Three-Dimensional Objects – Grade One Ohio Standards Connection Geometry and Spatial Sense Benchmark B Describe solid objects: cube, rectangular prism, sphere, cylinder, cone and pyramid, and identify them in the environment. Indicator 3 Identify the shapes of the faces of three-dimensional objects. Mathematical Processes Benchmark I Communicate mathematical thinking by using everyday language and appropriate mathematical language. Lesson Summary: In this lesson, students recognize models of three-dimensional objects. Students describe and draw the shapes of the faces of three-dimensional objects. They also sort three-dimensional objects using the shapes of the faces of the objects. Follow-up the lesson with activities where students hunt for shapes in the school environment to reinforce the geometric concepts. Estimated Duration: One hour Commentary: As students first learn geometric concepts, shapes and figures are recognized by their physical appearance, not by their parts or properties. (Crowley, 1987) Once students develop this understanding, they can begin to analyze figures by their parts. Through observation students can identify and then sort figures by the shape of its faces. Provide purposes for learning these geometric concepts by posing situations for sorting and exploring objects in the students’ environment. (Crowley, 1987) Pre-Assessment: Students should be able to recognize and identify two-dimensional shapes prior to this lesson. Use activities or prior assessments of two-dimensional shapes to determine if students are ready for instruction. Activities may include: drawing circles, rectangles, squares and triangles creating shapes on geoboards identifying shapes from a set of pattern blocks or tangrams sorting a set of circles, rectangles, squares and triangles Scoring Guidelines: Students who recognize and identify two-dimensional shapes from different perspectives are ready for the lesson. Use the lesson to reinforce concepts of two-dimensional shapes if students are unable to or inconsistent in recognizing and identifying two-dimensional shapes. Provide intervention for students who name the shapes correctly, but may use incorrect terms in describing the shape. Post-Assessment: Assess students in small groups by giving each group several threedimensional objects, such as cones, cubes, cylinders, prisms, pyramids and spheres. Ask the students to sort the objects using two-dimensional shapes. For example, sort the objects into two 1 Faces of Three-Dimensional Objects – Grade One groups, objects with square faces and objects not having square faces. Give students a model and have them draw and name the faces of the object. Ask questions about the shape of faces students may not see. For example, set a pyramid on the table and ask them to identify the shape of the face not seen. Scoring Guidelines: Use the rubric to describe the level of performance. Performance Level Description of performance Exceeds Draws each face of the three-dimensional object without tracing around Expectations the object Identifies and recognizes the shapes of the faces from different perspectives and may make predictions of the shape of faces not seen Meets Expectations Identifies the shapes of the faces of the three-dimensional shapes Intervention Identifies objects inconsistently or needs to trace around the object to Needed identify the shape May experience difficulty when objects are in various orientations Instructional Procedures: Instructional Tip: Create collections of representations of three-dimensional objects, such as potato chip or oatmeal canisters, empty boxes of crackers or cereal, cone-shaped paper cup, balls and pyramids for each pair or small group of students. 1. Show students a model of a rectangular prism, such as a box or block. Have the students search the room for objects that are like the rectangular prism. Select students to share their object. Ask questions such as: What object did you find? Why did you choose it? How is it like this object? How is it different? 2. Ask students how many sides the object has. Tell students that the sides are called faces in mathematics. 3. Ask students to describe the faces of the object. Select students to describe the face. Responses may include the names of shapes. Record the responses on chart paper. 4. Provide pairs of students with the model of the rectangular prism. Ask students to think about how to prove the shape of the face. Students may suggest tracing around the solid. Allow each student to trace around the object to verify the descriptions. 5. Present other three-dimensional objects for students to explore. Have them identify the shapes of the faces and find objects in the room like the object. Ask questions such as: Can you find another three-dimensional object that has a face like this object (triangular prism)? Can you find another three-dimensional object that is like this object (sphere)? Do all three-dimensional objects have the same number of faces? Are there three-dimensional objects that do not have faces? (sphere) 2 Faces of Three-Dimensional Objects – Grade One 6. Have partners sort a collection of three-dimensional objects. If there are not enough sets of objects, set up a center and work with students in small groups. Ask students to describe how they sorted the objects. Encourage students to use the shapes of faces to sort the objects. 7. Have students draw shapes for the faces on a sheet of paper. Some students may be able to draw the shapes without seeing all of the sides. Some may need to trace around the object. Encourage students to draw without tracing. Provide rulers if students are able to draw using a ruler. Ask students to identify the shapes of the faces while observing and walking around the room. Differentiated Instructional Support: Instruction is differentiated according to learner needs, to help all learners either meet the intent of the specified indicator(s) or, if the indicator is already met, to advance beyond the specified indicator(s). Provide pictures of two-dimensional shapes to use as a guide when identifying the shape of faces. Allow the student to try to match the face of the solid with the picture. Allow tracing around the object in the post-assessment. Extensions: Have students work with partners to build towers with geometric objects. One student builds a tower and describes the tower to a partner. The partner tries to build a replica of the tower without seeing it. As the student describes the tower, listen for the use of shapes when describing faces of the objects. Play an “I Spy” game with three-dimensional objects. Have students search for objects that have the attribute or shape of a face described. Select students to share examples and lead the game. Home Connections: Have students write a list of objects found in the home or community that are like cones, cubes, cylinders, prisms, pyramids and spheres. Materials and Resources: The inclusion of a specific resource in any lesson formulated by the Ohio Department of Education should not be interpreted as an endorsement of that particular resource, or any of its contents, by the Ohio Department of Education. The Ohio Department of Education does not endorse any particular resource. The Web addresses listed are for a given site’s main page, therefore, it may be necessary to search within that site to find the specific information required for a given lesson. Please note that information published on the Internet changes over time, therefore the links provided may no longer contain the specific information related to a given lesson. Teachers are advised to preview all sites before using them with students. For the teacher: model of rectangular prism, objects that have the shape of cones, cubes, cylinders, prisms, pyramids and spheres. For the student: sets of three-dimensional geometric objects 3 Faces of Three-Dimensional Objects – Grade One Vocabulary: face three-dimensional Technology Connections: Use software with three-dimensional objects for students to view and describe. Research Connections: Arter, Judith and Jay McTighe. Scoring Rubrics in the Classroom: Using Performance Criteria for Assessing and Improving Student Performance. Thousand Oaks, Calif.: Corwin Press, 2001. Crowley, Mary L. The van Heile Model of the Development of Geometric Thought. Learning and Teaching Geometry, K-12. National Council of Teachers of Mathematics, Inc. (1987): 1-16. 4