Tangrams
This ancient Chinese puzzle offers creative ways for students to develop geometric and spatial skills.
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||Kindergarten||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 1||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 2||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 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.2. Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles.||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|||5.G.3. Understand that attributes belonging to a category of two- dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles.||Common Core Mathematics||Grade 5||Geometry||Classify Two-Dimensional Figures Into Categories Based On Their Properties|||5.G.4. Classify two-dimensional figures in a hierarchy based on properties.||Common Core Mathematics||Grade 5||Geometry||Classify Two-Dimensional Figures Into Categories Based On Their Properties|||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|||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
1.2 Identify, describe, and extend simple patterns (such as circles or triangles) by referring to their shapes, sizes, or colors.||CA Mathematics||Grade Kindergarten||04. Statistics, Data Analysis, and Probability||1.0 Students collect information about objects and events in their environment.|||2.1 Identify and describe common geometric objects (e.g., circle, triangle, square, rectangle, cube, sphere, cone).||CA Mathematics||Grade Kindergarten||03. Measurement and Geometry||2.0 Students identify common objects in their environment and describe the geometric features.|||2.1 Describe, extend, and explain ways to get to a next element in simple repeating patterns (e.g., rhythmic, numeric, color, and shape).||CA Mathematics||Grade 1||04. Statistics, Data Analysis, and Probability||2.0 Students sort objects and create and describe patterns by numbers, shape, size, rhythm, or color.|||2.1 Identify, describe, and compare triangles, rectangles, squares, and circles, including the faces of three-dimensional objects.||CA Mathematics||Grade 1||03. Measurement and Geometry||2.0 Students identify common geometric figures, classify them by common attributes, and describe their relative position or their location in space.|||2.1 Recognize, describe, and extend patterns and determine a next term in linear patterns (e.g., 4, 8, 12 …; the number of ears on 1 horse, 2 horses, 3 horses, 4 horses).||CA Mathematics||Grade 2||04. Statistics, Data Analysis, and Probability||2.0 Students demonstrate an understanding of patterns and how they grow, and describe them in general ways.|||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.|||2.1 Identify, describe, and classify polygons (including pentagons, hexagons, and octagons).||CA Mathematics||Grade 3||03. Measurement and Geometry||2.0 Students describe and compare the attributes of plane and solid geometric figures and use their understanding to show relationships and solve problems.|||2.3 Identify attributes of quadrilaterals (e.g., parallel sides for the parallelogram, right angles for the rectangle, equal sides and right angles for the square).||CA Mathematics||Grade 3||03. Measurement and Geometry||2.0 Students describe and compare the attributes of plane and solid geometric figures and use their understanding to show relationships and solve problems.|||3.8 Know the definition of different quadrilaterals (e.g., rhombus, square, rectangle, parallelogram, trapezoid).||CA Mathematics||Grade 4||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.
- Grades K-2
- Grades 3-5
- Grades 6-8
- Math