Making 3D Shapes
By using Ellison die-cutting machine you can cut regular polygons with tabs on them out of folders. Your students can investigate polyhedra by assembling them with rubber bands or glue. They can put together regular polyhedra, semi-regular polyhedra and others. The models can also be used to display photographs.
Standards
Idea Sheets are cross-referenced to subjects listed in the Common Core, Next Generation Science Standards, and California Content Standards.
Mathematical Practices: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. ||Common Core Mathematics||Grade 2||Mathematical Practices|||Reason With Shapes And Their Attributes||Common Core Mathematics||Grade 2||Geometry|||Mathematical Practices: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. ||Common Core Mathematics||Grade 3||Mathematical Practices|||Reason With Shapes And Their Attributes||Common Core Mathematics||Grade 3||Geometry|||Mathematical Practices: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. ||Common Core Mathematics||Grade 4||Mathematical Practices|||Draw And Identify Lines And Angles, And Classify Shapes By Properties Of Their Lines And Angles||Common Core Mathematics||Grade 4||Geometry|||4.MD.5. Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement:||Common Core Mathematics||Grade 4||Measurement And Data||Geometric Measurement: Understand Concepts Of Angle And Measure Angles|||4.MD.6. Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.||Common Core Mathematics||Grade 4||Measurement And Data||Geometric Measurement: Understand Concepts Of Angle And Measure Angles|||4.MD.7. Recognize angle measure as additive. When an angle is decomposed into non-overlapping parts, the angle measure of the whole is the sum of the angle measures of the parts. Solve addition and subtraction problems to find unknown angles on a diagram in real world and mathematical problems, e.g., by using an equation with a symbol for the unknown angle measure.||Common Core Mathematics||Grade 4||Measurement And Data||Geometric Measurement: Understand Concepts Of Angle And Measure Angles|||Mathematical Practices: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. ||Common Core Mathematics||Grade 5||Mathematical Practices|||Classify Two-Dimensional Figures Into Categories Based On Their Properties||Common Core Mathematics||Grade 5||Geometry|||5.MD.3. Recognize volume as an attribute of solid figures and understand concepts of volume measurement.||Common Core Mathematics||Grade 5||Measurement And Data||Geometric Measurement: Understand Concepts Of Volume And Relate Volume To Multiplication And To Addition|||5.MD.4. Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.||Common Core Mathematics||Grade 5||Measurement And Data||Geometric Measurement: Understand Concepts Of Volume And Relate Volume To Multiplication And To Addition|||5.MD.5. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume.||Common Core Mathematics||Grade 5||Measurement And Data||Geometric Measurement: Understand Concepts Of Volume And Relate Volume To Multiplication And To Addition|||Mathematical Practices: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. ||Common Core Mathematics||Grade 6||Mathematical Practices|||Solve Real-World And Mathematical Problems Involving Area, Surface Area, And Volume||Common Core Mathematics||Grade 6||Geometry|||Mathematical Practices: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. ||Common Core Mathematics||Grade 7||Mathematical Practices|||Draw, Construct, And Describe Geometrical Figures And Describe The Relationships Between Them||Common Core Mathematics||Grade 7||Geometry|||Solve Real-World And Mathematical Problems Involving Volume Of Cylinders, Cones, And Spheres||Common Core Mathematics||Grade 8||Geometry|||Mathematical Practices: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. ||Common Core Mathematics||Grade 8||Mathematical Practices|||Understand Congruence And Similarity Using Physical Models, Trans- Parencies, Or Geometry Software||Common Core Mathematics||Grade 8||Geometry|||Mathematical Practices: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. ||Common Core Mathematics||High School||Mathematical Practices|||Visualize Relationships Between Two-Dimensional And Three- Dimensional Objects||Common Core Mathematics||High School||Geometric Measurement And Dimension|||HS.G.CO.12. Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line.||Common Core Mathematics||High School||Congruence||Make Geometric Constructions|||HS.G.MG.1. Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).?||Common Core Mathematics||High School||Modeling With Geometry||Apply Geometric Concepts In Modeling Situations
2.1 Describe and classify plane and solid geometric shapes (e.g., circle, triangle, square, rectangle, sphere, pyramid, cube, rectangular prism) according to the number and shape of faces, edges, and vertices.||CA Mathematics||Grade 2||03. Measurement and Geometry||2.0 Students identify and describe the attributes of common figures in the plane and of common objects in space.|||2.0 Students describe and compare the attributes of plane and solid geometric figures and use their understanding to show relationships and solve problems.||CA Mathematics||Grade 3||03. Measurement and Geometry|||3.0 Students demonstrate an understanding of plane and solid geometric objects and use this knowledge to show relationships and solve problems.||CA Mathematics||Grade 4||03. Measurement and Geometry|||2.0 Students identify, describe, and classify properties of, and the relationships between, plane and solid geometric figures.||CA Mathematics||Grade 5||03. Measurement and Geometry|||1.0 Students deepen their understanding of the measurement of plane and solid shapes and use this understanding to solve problems.||CA Mathematics||Grade 6||03. Measurement and Geometry|||3.0 Students know the Pythagorean Theorem and deepen their understanding of plane and solid geometric shapes by constructing figures that meet given conditions and by identifying attributes of figures.||CA Mathematics||Grade 7||03. Measurement and Geometry|||11.0 Students determine how changes in dimensions affect the perimeter, area, and volume of common geometric figures and solids.||CA Mathematics||Grade 8 – 12||02. Geometry|||09.0 Students compute the volumes and surface areas of prisms, pyramids, cylinders, cones, and spheres; and students commit to memory the formulas for prisms, pyramids, and cylinders||CA Mathematics||Grade 8 – 12||02. Geometry
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