Fun with Hexaflexagons
Here is a fun activity that integrates math and art. The hexaflexagon is a two dimensional (flat) object that has three faces. How is that possible?
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 3||Mathematical Practices|||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|||4.G.3. Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be folded along the line into matching parts. Identify line-symmetric figures and draw lines of symmetry.||Common Core Mathematics||Grade 4||Geometry||Draw And Identify Lines And Angles, And Classify Shapes By Properties Of Their Lines And 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|||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|||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|||7.G.6. Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.||Common Core Mathematics||Grade 7||Geometry||Solve Real-Life And Mathematical Problems Involving Angle Measure, Area, Surface Area, And Volume|||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|||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
2.0 Students use strategies, skills, and concepts in finding solutions.||CA Mathematics||Grade 3||05. Mathematical Reasoning|||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|||2.0 Students use strategies, skills, and concepts in finding solutions.||CA Mathematics||Grade 4||05. Mathematical Reasoning|||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|||2.0 Students use strategies, skills and concepts in finding solutions.||CA Mathematics||Grade 5||05. Mathematical Reasoning|||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|||2.0 Students use strategies, skills and concepts in finding solutions.||CA Mathematics||Grade 6||05. Mathematical Reasoning|||2.0 Students use strategies, skills, and concepts in finding solutions.||CA Mathematics||Grade 7||05. Mathematical Reasoning
- Grades 3-5
- Grades 6-8
- Math