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Math's Project Work
Maths is not about numbers ,
equations , algorithms ; its about
understanding…………………
Visualizing
solid shaPes
Contents
2-dimensional shapes and their
properties
3-dimensional shapes and their
properties
Maps
What do colors represent on map
Different views of 3-d & isometric
shapes
Quiz...
2-Dimensional Shapes
Two-dimensional shapes have no
thickness, but they do have two
measures of distance associated with
them, such as width and height. They
can be drawn on a flat surface.
2-Dimensional Shapes
The dimensions of a two-dimensional
shape are used to derive or calculate
the object's area. Because two-
dimensional shapes have no thickness
or depth, there is no notion of volume
associated with them.
2-Dimensional Shapes
Some examples of two-dimensional
shapes are rectangles, circles,
triangles, hexagons, trapezoids and
quadrilaterals
Properties of 2d shapes
 These shapes are flat and can only be
drawn on paper.
 They have two dimensions – length and
width.
 They are sometimes called plane shapes.
One of the lines that make a flat (2-
dimensional) shape.
 The amount of turn between two straight
lines that have a common end point (the
vertex).
3-Dimensional Shapes
 Single-dimensional shapes exist
only in one dimension, which
means that they only possess
length.
 Two-dimensional shapes have two
dimensions, including length and
width. These shapes are always
flat.
3-Dimensional Shapes
 By adding an additional dimension
to 2-D shapes, many 3-D shapes can
be constructed, such as cubes,
pyramids and spheres.
 The mathematical term for a solid
3-D shape is "polyhedron."
Properties of 3d shapes
 These shapes are solid or hollow.
 They have three dimensions – length, width
and height.
 Faces-Part of a shape that is flat.(Or
curved)
 Edge-The line where two faces meet.
 vertex-The place where three or more edges
meet.
 Parallel - These type of lines stay the same
distance apart for their whole length. They
do not need to be straight or the same
length.
Map
 A map is a graphical representation of
a portion of earth’s surface drawn to
scale as seen from above.
 It uses color ,symbols, scale and
labels to represent features found
on ground.
 The job of a map is to describe spatial
relationships of specific features
that the map aims to represent.
 There are many different types of
maps that attempt to represent
specific things
What do colors represents on a map ?
 Blue – water (streams, lakes, permanent snow
fields and glaciers, etc.)
 Green – forest and vegetation
 White – a general lack of vegetation
 Brown – contour lines (elevation information)
 Black – man-made/cultural features (buildings,
place names, boundary lines, roads, etc.)
 Red – Highways and major roads,
Township/Range/Section information
 Pink – urban areas
 Purple – reflect revisions to a map but is no
longer used on maps in production
Views of 3-D shapes
Side view
Views of 3-D shapes
Top view
Views of 3-D shapes
Front view
Different views of a Isometric shape
1. a 3d shape is ______.
. solid
. flat
. small
. none of these
2. a 2d shape is ________.
. solid
. flat
. small
.none of these
3. 2d shapes can be drawn on
________.
wood
Glass
Metal
paper
4. Map is a __________.
pictorial representation
MatheMatical probleM
Graphical representation
scientific terM
5. what black represents on a
Map?
river
canals
 hiGhways
Man Made features
6. what red represents on a
Map?
river
canals
 hiGhways
Man Made features
7. What blue represents on a
map?
streams
roaDs
 highWays
man maDe features
8. What pink represents on a
map?
river
Canals
urban areas
man maDe features
maDe by-
name-anjali
Class-viii-’a’
roll.no-8102

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Math's project work

  • 1. Math's Project Work Maths is not about numbers , equations , algorithms ; its about understanding…………………
  • 3. Contents 2-dimensional shapes and their properties 3-dimensional shapes and their properties Maps What do colors represent on map Different views of 3-d & isometric shapes Quiz...
  • 4. 2-Dimensional Shapes Two-dimensional shapes have no thickness, but they do have two measures of distance associated with them, such as width and height. They can be drawn on a flat surface.
  • 5. 2-Dimensional Shapes The dimensions of a two-dimensional shape are used to derive or calculate the object's area. Because two- dimensional shapes have no thickness or depth, there is no notion of volume associated with them.
  • 6. 2-Dimensional Shapes Some examples of two-dimensional shapes are rectangles, circles, triangles, hexagons, trapezoids and quadrilaterals
  • 7. Properties of 2d shapes  These shapes are flat and can only be drawn on paper.  They have two dimensions – length and width.  They are sometimes called plane shapes. One of the lines that make a flat (2- dimensional) shape.  The amount of turn between two straight lines that have a common end point (the vertex).
  • 8. 3-Dimensional Shapes  Single-dimensional shapes exist only in one dimension, which means that they only possess length.  Two-dimensional shapes have two dimensions, including length and width. These shapes are always flat.
  • 9. 3-Dimensional Shapes  By adding an additional dimension to 2-D shapes, many 3-D shapes can be constructed, such as cubes, pyramids and spheres.  The mathematical term for a solid 3-D shape is "polyhedron."
  • 10. Properties of 3d shapes  These shapes are solid or hollow.  They have three dimensions – length, width and height.  Faces-Part of a shape that is flat.(Or curved)  Edge-The line where two faces meet.  vertex-The place where three or more edges meet.  Parallel - These type of lines stay the same distance apart for their whole length. They do not need to be straight or the same length.
  • 11. Map  A map is a graphical representation of a portion of earth’s surface drawn to scale as seen from above.  It uses color ,symbols, scale and labels to represent features found on ground.  The job of a map is to describe spatial relationships of specific features that the map aims to represent.  There are many different types of maps that attempt to represent specific things
  • 12. What do colors represents on a map ?  Blue – water (streams, lakes, permanent snow fields and glaciers, etc.)  Green – forest and vegetation  White – a general lack of vegetation  Brown – contour lines (elevation information)  Black – man-made/cultural features (buildings, place names, boundary lines, roads, etc.)  Red – Highways and major roads, Township/Range/Section information  Pink – urban areas  Purple – reflect revisions to a map but is no longer used on maps in production
  • 13. Views of 3-D shapes Side view
  • 14. Views of 3-D shapes Top view
  • 15. Views of 3-D shapes Front view
  • 16. Different views of a Isometric shape
  • 17.
  • 18. 1. a 3d shape is ______. . solid . flat . small . none of these
  • 19. 2. a 2d shape is ________. . solid . flat . small .none of these
  • 20. 3. 2d shapes can be drawn on ________. wood Glass Metal paper
  • 21. 4. Map is a __________. pictorial representation MatheMatical probleM Graphical representation scientific terM
  • 22. 5. what black represents on a Map? river canals  hiGhways Man Made features
  • 23. 6. what red represents on a Map? river canals  hiGhways Man Made features
  • 24. 7. What blue represents on a map? streams roaDs  highWays man maDe features
  • 25. 8. What pink represents on a map? river Canals urban areas man maDe features