Three-dimensional Shapes (3D)

1. Three-dimensional Shapes (3D) • These shapes are solid or hollow, you could hold them in your hand. • They have three dimensions: length, width and height.

2. Solid • A shape you can hold (3D). • A solid has length, width and height. • Examples: • Cube • Cylinder • Sphere • Cone • Prism

3. Surface • The curved part of a 3D shape. • Cylinders and cones have surfaces.

4. Face • Part of a 3D shape that is flat. • Example: A cube has 6 faces.

5. Base • The bottom face of a 3D object. Base

6. Edge • The line where two faces meet on a 3D object. • Example: A cube has 12 edges.

7. Corner • The point where three or more edges touch. • This cube has 12 corners all together.

8. Vertex (Vertices) • The point where three or more edges meet. • This cube has 12 vertices all together.

9. Cube • A 3D shape (you can hold it). • It has 6 equal square faces. • Cubes in daily life: • A box • Blocks • Dice

10. Cube • A three-dimensional shape which has: • 6 square faces all the same size • 12 edges • 8 corners

11. Cube • A three-dimensional shape which has: • 6 square faces all the same size • 12 edges • 8 vertices

12. Cube • A three-dimensional shape which has 6 square faces all the same size, 12 edges and 8 vertices. • Some faces parallel • Some edges parallel • Some faces perpendicular • Some edges perpendicular

13. Sphere • A 3D shape (you can hold it) that can roll. • A Sphere has no corners or edges • Spheres in daily life: • A Ball • A Globe • A Marble

14. Sphere • A perfectly round three-dimensional shape, like a ball. It has only one curved surface. • A sphere has • 0 faces • 0 edges • 0 corners

15. Sphere • A perfectly round three-dimensional shape, like a ball. It has only one curved surface. • A sphere has • 0 faces • 0 edges • 0 vertices

16. Cone • A 3D shape (you can hold it) that can roll. • A Cone has a circle at its base and a curved surface that comes to a point at its top (vertex). • Cones in daily life: • Ice Cream Cone • A Party Hat

17. Cone • A three-dimensional shape made up of: • a circular base • a curved surface that comes to a point at the top (vertex). • A Cone has 0 edges and 0 corners.

18. Cone • A three-dimensional shape made up of: • a circular base • a curved surface that comes to a point at the top (vertex). • A Cone has 0 edges and 0 vertices.

19. Cylinder • A 3D shape (you can hold it) that can roll. • A Cylinder has 2 equal circles on its ends. • Cylinders in daily life: • A Soup Can • A Roll of Toilet Paper

20. Cylinder • A three-dimensional shape with one curved surface and 2 equal circles on its ends. • A Cylinder has 2 faces, 1 surface, 0 edges and 0 corners.

21. Cylinder • A three-dimensional shape with one curved surface and 2 equal circles on its ends. • A Cylinder has 2 faces, 1 surface, 0 edges and 0 vertices.

22. Pyramid • A three-dimensional shape which has a polygon for its base and triangular faces which meet at one point (vertex).

23. Rectangular Prism • A 3D shape (you can hold it). • It has 6 rectangular faces. • Cubes in daily life: • A Kleenex Box • A Refrigerator • A Cereal Box

24. Rectangular Prism • A 3D shape that has: • 6 rectangular faces • 2 of those faces are equal • 12 edges • 8 corners

25. Rectangular Prism • A 3D shape that has: • 6 rectangular faces • 2 of those faces are equal • 12 edges • 8 vertices

26. Rectangular Prism • A 3D shape that has: • 6 rectangular faces • 2 of those faces are equal • 12 edges • 8 vertices • Some faces are parallel • Some edges are parallel • Some faces are perpendicular • Some edges are perpendicular

27. Two-Dimensional Shapes (2D) • These shapes are flat and can only be drawn on paper. • They have two dimensions: length and width. • They are sometimes called plane shapes.

28. Sides • The lines you can trace and count on the outside of a 2D shape. • Example: A triangle has 3 sides. A square has 4.

29. Polygons • Two-dimensional shapes that have three or more sides made from straight lines. • Examples: • triangles • squares • rectangles

30. Quadrilaterals • Any two-dimensional shapes (polygon) with 4 straight sides and 4 angles • Ex. rhombus kite rectangle trapezoid square

31. Quadrilaterals • Any two-dimensional shapes (polygon) with 4 straight sides and 4 angles • The interior angles of a Quadrilateral add up to 360 degrees. • Ex. rhombus kite rectangle trapezoid square

32. Parallelogram • A quadrilateral with parallel opposite sides of equal length. • Opposite angles are equal.

33. Rectangle • A 2D shape with 4 corners and 2 pairs of opposite, equal, parallel sides. • Rectangles in daily life: • A Door • A Piece of Paper

34. Rectangle • A 2D shape with 4 corners and 2 pairs of opposite, equal, parallel sides. • The sides meet at right angles.

35. Rhombus • A 2D shape with four sides.

36. Rhombus • A 2D, four-sided shape with opposite sides that are parallel. • All the sides are the same length.

37. Rhombus • A 2D, four-sided shape with opposite sides that are parallel. • All the sides are the same length. • Diagonals of a Rhombus bisect each other at right angles.

38. Trapezoid • A 2D shape (polygon) with four sides. • One pair of sides is parallel.

39. Trapezoid • A 2D shape (polygon) with four sides. • One pair of sides is parallel.

40. Circle • A 2D shape with no corners or edges. • Circles in daily life: • A Clock

41. Semicircle • A 2D shape that is exactly half of a circle. • Semicircles in daily life: • Half of a pie • Half of a pizza

42. Square • 2D shape with 4 equal sides and 4 corners • Squares in daily life: • A Window • Some Floor Tiles • Some Ceiling Tiles

43. Square • 2D shape (polygon) with 4 equal sides and 4 right (90°) angles. • Opposite sides are parallel.

44. Triangle • Two-dimensional shape with three straight sides and three corners. • Triangles in daily life: • The front of a tent

45. Triangle • Two-dimensional shape (polygon) with three straight sides and three angles. • There are • isosceles triangles, • right triangles • equilateral triangles • scalene triangles

46. Triangle • Two-dimensional shape (polygon) with three straight sides and three angles. • The interior angles of a triangle add up to 180 degrees. • There are • isosceles triangles, • right triangles • equilateral triangles • scalene triangles

47. Patterns • A repeating design. Examples: A B A A B Growing

48. Line • A long, thin mark that continues forever. • It has no endpoints.

49. Line • An infinitely long, thin, two-dimensional mark • It has no endpoints.

50. Parallel • Lines that are the same distance apart from each other. • These type of lines stay the same distance apart for their whole length. They do not need to be straight or the same length. • They never intersect.