Geometry is the branch of mathematics concerned with properties of points, lines, angles, curves, surfaces and solids. It involves visualizing shapes, sizes, patterns and positions. The presentation introduced basic concepts like different types of lines, rays and angles. It also discussed plane figures from kindergarten to 8th grade, including classifying shapes by number of sides. Space figures like cubes and pyramids were demonstrated by having students construct 3D models. The concepts of tessellation, symmetry, and line of symmetry were explained.
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.
22. Plane Figures Teaching Shapes From: Kindergarten to 2nd Grade 2nd Grade to 4th Grade 4th Grade to 8th Grade
23. Definition Plane 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 Grade Familiarize children with different shapes. Classify and categorize shapes. Observe and listen to gain insight on the children’s level of reasoning. Refer to square as a square, and a rectangle is a rectangle. Counting to 10 Should start to examine the number of sides and angles of some plane figures.
25. Kinder to 2nd Grade Concrete Have students sort out different shapes that are familiar to them.
26. Kinder to 2nd Grade Pictorial Have students count the sides on each shape. Connect dots on paper that will form a shape.
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 Grade Child’s 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 Grade Concrete Have students compare different sizes and shapes of triangles, squares, rectangles, and circles.
34. 2nd to 4th Grade Pictorial Have students take the different shapes to form another shape. Have students practice making shapes on a Geoboard.
37. Make A Rule Symbolic Some shapes can be used to form another shape. Two shapes that are different sizes can be the same shape.
38. 4th to 8th Grade Size and Shape Children need to be well grounded in these concepts before going on to high school. Classifying Shapes Should 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 Grade Concrete (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 Grade Pictorial (Size & Shape) Use dot paper or geoboard to illustrate different size and shapes. . . . . . . . . . . . . . . . . . .
42. Introduce Terms Quadrilateral- 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 Rule Symbolic Have 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.
47. Space Figures! Space figures are three dimensional figures. Faces: Side of the space figure Edges: Where two faces meet Vertex or Vertices: the corners of the space figures VERTEX EDGE FACE
48. Activity Take 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.
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
