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3D Pentominoes

Study compound shapes and geometric relationships using 3D models!
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Mathematics and critical thinking collide in this fun pentominoes game where students interact with 3D foam shapes. Discuss the composition of a pentomino – a 3D object with five squares or cubes – then experience them through hands-on activity. They’ll use pentominoes to create compound shapes and understand geometric relationships as they use spatial reasoning to assemble cubes, complex shapes, and fun designs like animals. Lesson direction features teacher worksheets that provide a visual starting point for students to complete the task. Polyurethane foam pentominoes are constructed of 12 variations of five 6" x 6" cubes. Complete Set includes 12 pentominoes and lesson direction. 15 lb.

Increase the learning potential with a set of puzzle cards (sold separately). Laminated, double-sided cards (5”L x 3-1/2”W) feature the outline of a challenge shape on one side without colors, the other side displays the solution with the colors of the pentominoes needed to complete it. This helps students build visual perceptual skills as kids arrange the pieces. Recommended for Upper Elementary.

Click here to view a sample of the included lesson directions.

Common Core State Standards for Mathematics*:

  • CCSS.MATH.CONTENT.3.G.A.1: Understand that shapes in different categories (e.g., rhombuses, rectangles, and others) may share attributes (e.g., having four sides), and that the shared attributes can define a larger category (e.g., quadrilaterals).
  • CCSS.MATH.CONTENT.3.MD.D.8: Solve real-world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters.
  • CCSS.MATH.CONTENT.4.G.A.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.
  • CCSS.MATH.CONTENT.4.MD.A.3: Apply the area and perimeter formulas for rectangles in real-world and mathematical problems.
  • CCSS.MATH.CONTENT.5.G.B.3: Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category.
  • CCSS.MATH.CONTENT.5.G.B.4: Classify two-dimensional figures in a hierarchy based on properties.
  • CCSS.MATH.CONTENT.5.MD.C.3: Recognize volume as an attribute of solid figures and understand concepts of volume measurement.
  • CCSS.MATH.CONTENT.5.MD.C.4: Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.
  • CCSS.MATH.CONTENT.6.G.A.1: Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.
  • CCSS.MATH.CONTENT.6.G.A.4: Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.
  • CCSS.MATH.CONTENT.7.G.A.2: Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.
  • CCSS.MATH.CONTENT.7.G.B.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.

National Governors Association Center for Best Practices & Council of Chief State School Officers. (2010). Common Core State Standards. Washington, DC: Authors.