Geometry presentation
- 1. GEOMETRYPresented by: Barbara Taijeron Jamie Monaghan Marvin Monaghan Billy Neveready
- 2. What is Geometry?- the branch of mathematics that is concerned with the properties and relationships of: - points, lines, angles, curves, surfaces, and solids. - The visual study of shapes, sizes, patterns, and positions.
- 3. Basic Concepts of Lines, Rays, and Angles.
- 5. LineHas no beginning or end.Continues indefinitely in both directions.Can be illustrated by drawing arrows at each end.
- 6. Line SegmentHas a beginning point and an end point.Line segments on a shape are called sides.Can be found in many shapes.
- 7. RayHas a beginning point but no end point.
- 8. ParallelLines in the same plane that do not intersect or cross each other.
- 9. IntersectingTwo or more lines that meet at a point.
- 10. PerpendicularPerpendicular lines form a right or 90 degree angle.
- 11. AnglesMade up of two rays with the same start point.The start point is called the vertex. The two rays are called the sides of the angle.
- 12. Measure Angles withA Protractor.
- 13. Different AnglesZero AnglesRight AnglesAcute AnglesObtuse AnglesStraight AnglesSupplementary AnglesComplimentary Angles
- 14. Are Parallel and equal 180 degrees.Zero Angles
- 15. Two rays that create a 90 degree angle.Right Angle
- 16. Acute AngleTwo rays that have a smaller angle than a right angle. <90 Degrees
- 17. Angles larger than a right angle and smaller than two right angles. >90 DegreesObtuse Angle
- 18. Straight AngleAngles equal to two right angles.
- 19. Two angles that sum to a straight angleSupplementary Angles
- 20. Complimentary AnglesTwo angles that sum to one right angle
- 21. PLANE FIGURES!
- 22. Plane FiguresTeaching Shapes From: Kindergarten to 2nd Grade2nd Grade to 4th Grade4th Grade to 8th Grade
- 23. DefinitionPlane Figure:A two-dimensional shape (2D).A shape on a plane. Includes points, lines, polygons, circles, triangles, hexagon, pentagons, etc.A plane figure is any set of points on a plane.
- 24. Kinder to 2nd GradeFamiliarize children with different shapes.Classify and categorize shapes.Observe and listen to gain insight on the childrens level of reasoning.Refer to square as a square, and a rectangle is a rectangle.Counting to 10Should start to examine the number of sides and angles of some plane figures.
- 25. Kinder to 2nd GradeConcrete Have students sort out different shapes that are familiar to them.
- 26. Kinder to 2nd GradePictorialHave students count the sides on each shape.Connect dots on paper that will form a shape.
- 27. Count The Sides1243This Shape Is A Square
- 28. Count The Sides123This Shape Is A Triangle
- 29. Count The Sides1243This Shape Is A Rectangle
- 30. Count The SidesNo Sides0This Shape Is A Circle
- 31. Symbolic A square has 4 sides that are the same.A triangle has 3 sides.A rectangle has 4 sides.A circle has no sides.Make A Rule
- 32. 2nd to 4th GradeChilds perception matures and can handle mathematical reasoning.Explore relationship between size and shape.Most children will claim that all triangles have the same shape.Have them explore to see that this concept is not true.
- 33. 2nd to 4th GradeConcreteHave students compare different sizes and shapes of triangles, squares, rectangles, and circles.
- 34. 2nd to 4th GradePictorialHave students take the different shapes to form another shape.Have students practice making shapes on a Geoboard.
- 36. Making Flags
- 37. Make A RuleSymbolicSome shapes can be used to form another shape.Two shapes that are different sizes can be the same shape.
- 38. 4th to 8th GradeSize and ShapeChildren need to be well grounded in these concepts before going on to high school.Classifying ShapesShould engage in many classifying tasks.build criteria that accurately defines sets of shapes.A square is a rectangle, a parallelogram, and quadrilateral.Introduce different terms of shapes.
- 39. 4th to 8th GradeConcrete (Size & Shape)Have cut outs of different sized shapes.Ask students to show you:Same shape and size.Same shape, not same size.Same size, not same shape.Different shape, different size.
- 40. 4th to 8th GradePictorial (Size & Shape)Use dot paper or geoboard to illustrate different size and shapes.. . . . . . . . . . . . . . . . . .
- 41. Using Dot Paper
- 42. Introduce TermsQuadrilateral- a plane figure having four sides and four angles. Parallelograms - a quadrilateral having both pairs of opposite sides parallel to each other.
- 45. Make A RuleSymbolicHave all the name of the shapes and have them come up with a rule for each.Example:Triangle has 3 sides.Equilateral Triangle has 3 equal sides.
- 46. Space Figures!
- 47. Space Figures!Space figures are three dimensional figures. Faces: Side of the space figureEdges: Where two faces meet Vertex or Vertices: the corners of the space figuresVERTEXEDGEFACE
- 48. ActivityTake out the papers in front of you and construct each container you see.
- 49. Activity!Take out the papers in front of you and make each item you see.
- 50. I have a Name!
- 51. Tesselation!
- 52. Repeating a shape over and over and over and over and over and over again, leaving no gaps between each shape to form a BIGGER shape.Another word for tesselation is TILING! Tesselation
- 54. Symmetry
- 55. Symmetry is having two sides of a whole look like they reflect each other. SymmetryLine of Symmetry
- 56. Something that is not symmetrical. Asymmetry
- 60. Any Questions?