year seven geometry interactive
DESCRIPTION
An interactive presentation introducing concepts about geometry such as plane and solid shapes, properties of triangles and quadrilaterals, tesselations, and transformationsTRANSCRIPT
• Geometry is all about shapes and their properties.
• If you like drawing or playing with objects, then geometry is for you!
Geometry
PLANE GEOMETRY
SOLID GEOMETRY
Two types of geometry
PLANE GEOMETRY
SOLID GEOMETRY
Two types of geometry
What Else??
PLANE GEOMETRY
Plane geometry is all about shapes like circles and triangles - shapes that can be drawn on a flat surface called a Plane (it is like an endless piece of paper).
Number Name
1 Rectangle
2 Trapezium
3 Trapezium
4 Irregular Quadrilateral
5 Kite
6 Rhombus
7 Square
8 Parallelogram
9 Rhombus
10 Irregular Quadrilateral
11 Irregular Pentagon
12 Regular Pentagon
13 Irregular Pentagon
14 Hexagon
15 Right Angled / Scalene Triangle
16 Irregular Octagon
17 Isosceles Triangle
18 Isosceles Triangle
19 Irregular Dodecagon
20 Irregular Hexagon
21 Regular OctagonBack
Click to reveal names
SOLID GEOMETRYSolid Geometry is about three dimensional objects like cubes, prisms and pyramids.
It is called three-dimensional, or 3D because there are three dimensions: width, depth and height.
Click Me!
Polyhedra
Non-Polyhedra
Back
Prisms Pyramids
Platonic Solids
A prism has the same cross-section all along its length.
The cross section of this object is a triangle
So it is known as a triangular prism
A Pyramid is made by connecting a base to an apex (point)
Pyramids are named after the shape that forms thebase of the Pyramid – this is a rectangular pyramid
A Platonic Solid is a 3D shape where:•Each face is the same regular polygon•The exact same number of polygons meet at each vertex (corner)
Back
More Prisms
Cross Section
Cross Section
Cross Section
Cross Section
Square Prism Triangular Prism
CubePentagonal Prism
Back
Click to reveal names
More PyramidsThere are many types of pyramids, and they are named after the shape of their base
PYRAMID BASE
Triangular Pyramid
SquarePyramid
PentagonalPyramid
Back
Click to reveal names
Tetrahedron
Octahedron
Icosahedron
Hexahedron
Dodecahderon
Back
Little Known Facts About Triangles & Quadrilaterals
Click Me to go to the
interactiveWant to find out about
Pythagoras?
More This Way
What do the three angles inside a triangle
add up to?
53 C + 53 C + 74 C=
45 C+ 40 C + 95 C=
180 C
180 C Try your own by measuring the
angles and adding them up!
What do the three angles inside a
quadrilateral add up to?
A + B + C + D =
360 C But Wait
There’s More
The Quadrilateral Family Tree
Using the chart, you can answer questions such as:
•Is a square a type of rectangle? (yes)
•Is a rectangle a type of square (no)
Click me to go the
interactive
What can you do with these
shapes?
TESSELLATIONS What Shapes do you see?
Tessellating shapes will join together with no gaps or overlaps. Their angles must add up to 360 ° What are the only three regular shapes
that will tessellate by themselves?Next
TRANSFORMATIONS
Rotation
Reflection
Translation
Turn!
Flip!
Slide!
After any of those transformations (turn, flip or slide), the shape still has the same size, area, angles and line lengths.
If one shape can become another using Turns, Flips and/or Slides, then the two shapes are called Congruent:
Congruent
Example
• Resources in this presentation are a remix of those found at:http://www.mathsisfun.com
• Produced by Natasha Glaister 2011@mrsglaister