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# Geometry presentation

## on May 20, 2010

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• to be honest i didnt find this hugely helpful as i just wanted to find out what geometric shapes were not what michael jackson looks like!!! You didnt just simply put what geomertic shapes were or what anything was. You should really think about who your auidence is and who your aiming and what it is actually going to be about and them put that so i and others dont have to waste our time looking at michael jackson instead of completing homework due in for the next day!!!!!!
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## Geometry presentationPresentation Transcript

• GEOMETRY
Presented by: Barbara Taijeron
Jamie Monaghan
Marvin Monaghan
• 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.
• Basic Concepts of Lines, Rays, and Angles.
• Lines!
Different Types:
Line
Line Segment
Ray
Perpendicular
Parallel
Intersecting
• Line
Has no beginning or end.
Continues indefinitely in both directions.
Can be illustrated by drawing arrows at each end.
• Line Segment
Has a beginning point and an end point.
Line segments on a shape are called sides.
Can be found in many shapes.
• Ray
Has a beginning point but no end point.
• Parallel
Lines in the same plane that do not intersect or cross each other.
• Intersecting
Two or more lines that meet at a point.
• Perpendicular
Perpendicular lines form a right or 90 degree angle.
• Angles
Made 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.
• Measure Angles with…
A Protractor.
• Different Angles
Zero Angles
Right Angles
Acute Angles
Obtuse Angles
Straight Angles
Supplementary Angles
Complimentary Angles
• Are Parallel and equal 180 degrees.
Zero Angles
• Two rays that create a 90 degree angle.
Right Angle
• Acute Angle
Two rays that have a smaller angle than a right angle.
<90 Degrees
• Angles larger than a right angle and smaller than two right angles. >90 Degrees
Obtuse Angle
• Straight Angle
Angles equal to two right angles.
• Two angles that sum to a straight angle
Supplementary Angles
• Complimentary Angles
Two angles that sum to one right angle
• PLANE FIGURES!
• Plane Figures
Teaching Shapes From:
• 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.
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.
Concrete
Have students sort out different shapes that are familiar to them.
Pictorial
Have students count the sides on each shape.
Connect dots on paper that will form a shape.
• Count The Sides
1
2
4
3
This Shape Is A Square
• Count The Sides
1
2
3
This Shape Is A Triangle
• Count The Sides
1
2
4
3
This Shape Is A Rectangle
• Count The Sides
No Sides
0
This Shape Is A Circle
• 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
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.
Concrete
Have students compare different sizes and shapes of triangles, squares, rectangles, and circles.
Pictorial
Have students take the different shapes to form another shape.
Have students practice making shapes on a Geoboard.
• Using Geoboard
http://nlvm.usu.edu/en/nav/frames_asid_172_g_2_t_3.html?open=activities
• Making Flags
• Make A Rule
Symbolic
Some shapes can be used to form another shape.
Two shapes that are different sizes can be the same shape.
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.
Concrete (Size & Shape)
Have cut outs of different sized shapes.
Same shape and size.
Same shape, not same size.
Same size, not same shape.
Different shape, different size.
Pictorial (Size & Shape)
Use dot paper or geoboard to illustrate different size and shapes.
. . . . . . . . . . . . . . . . . .
• Using Dot Paper
• 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.
• Types of Triangles
• 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.
• Space Figures!
• 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
• Activity
Take out the papers in front of you and construct each container you see.
• Activity!
Take out the papers in front of you and make each item you see.
• I have a Name!
• Tesselation!
• 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
• Symmetry
• Symmetry is having two sides of a whole look like they reflect each other.
Symmetry
Line of Symmetry
• Something that is not symmetrical.
Asymmetry
• Symmetry in Planes
• Symmetry in Space
• Any Questions?