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Classroom Idea Sheet

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 alignment

Common Standards — cross-referenced to the Common Core State Standards, the Next Generation Science Standards and the California Content Standards.
StandardFrameworkGradeSubjectDomain
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 MathematicsGrade 2Mathematical Practices
Reason With Shapes And Their AttributesCommon Core MathematicsGrade 2Geometry
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 MathematicsGrade 3Mathematical Practices
Reason With Shapes And Their AttributesCommon Core MathematicsGrade 3Geometry
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 MathematicsGrade 4Mathematical Practices
Draw And Identify Lines And Angles, And Classify Shapes By Properties Of Their Lines And AnglesCommon Core MathematicsGrade 4Geometry
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 MathematicsGrade 4Measurement And DataGeometric 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 MathematicsGrade 4Measurement And DataGeometric 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 MathematicsGrade 4Measurement And DataGeometric 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 MathematicsGrade 5Mathematical Practices
Classify Two-Dimensional Figures Into Categories Based On Their PropertiesCommon Core MathematicsGrade 5Geometry
5.MD.3. Recognize volume as an attribute of solid figures and understand concepts of volume measurement.Common Core MathematicsGrade 5Measurement And DataGeometric 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 MathematicsGrade 5Measurement And DataGeometric 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 MathematicsGrade 5Measurement And DataGeometric 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 MathematicsGrade 6Mathematical Practices
Solve Real-World And Mathematical Problems Involving Area, Surface Area, And VolumeCommon Core MathematicsGrade 6Geometry
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 MathematicsGrade 7Mathematical Practices
Draw, Construct, And Describe Geometrical Figures And Describe The Relationships Between ThemCommon Core MathematicsGrade 7Geometry
Solve Real-World And Mathematical Problems Involving Volume Of Cylinders, Cones, And SpheresCommon Core MathematicsGrade 8Geometry
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 MathematicsGrade 8Mathematical Practices
Understand Congruence And Similarity Using Physical Models, Trans- Parencies, Or Geometry SoftwareCommon Core MathematicsGrade 8Geometry
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 MathematicsHigh SchoolMathematical Practices
Visualize Relationships Between Two-Dimensional And Three- Dimensional ObjectsCommon Core MathematicsHigh SchoolGeometric 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 MathematicsHigh SchoolCongruenceMake 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 MathematicsHigh SchoolModeling With GeometryApply Geometric Concepts In Modeling Situations
California Standards — cross-referenced to the Common Core State Standards, the Next Generation Science Standards and the California Content Standards.
StandardFrameworkGradeSubjectDomain
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 MathematicsGrade 203. Measurement and Geometry2.0 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 MathematicsGrade 303. 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 MathematicsGrade 403. Measurement and Geometry
2.0 Students identify, describe, and classify properties of, and the relationships between, plane and solid geometric figures.CA MathematicsGrade 503. 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 MathematicsGrade 603. 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 MathematicsGrade 703. Measurement and Geometry
11.0 Students determine how changes in dimensions affect the perimeter, area, and volume of common geometric figures and solids.CA MathematicsGrade 8 – 1202. 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 cylindersCA MathematicsGrade 8 – 1202. Geometry
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About this sheet

Grades covered

Grade 2 – Grade 12

Curriculum topics

3-dimensional shapes, regular solids, geometry, shape

Sheet number

208
  • Categories: Grades 3-5, Grades 6-8, Grades K-2, Math
  • Tags: Geometry, Measurement & Data

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