math's project work

Math's Project Work Maths is not about numbers ,

equations , algorithms ; its about understanding…………………

Visualizing Solid Shapes

Contents2-dimensional shapes and their properties3-dimensional shapes and their properties MapsWhat do colors represent on mapDifferent views of 3-d & isometric shapesQuiz...

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 ________.

WoodGlassMetalPaper

4. Map is a __________.

Pictorial representationMathematical problemGraphical representationScientific term

5. What black represents on a map?

River Canals highwaysman made features

6. What red represents on a map?

River Canals highwaysman made features

7. What blue represents on a map?

STREAMSROADS highwaysman made features

8. What pink represents on a map?

River CanalsUrban areasman made features

Made by-Name-anjaliClass-viii-’a’Roll.no-8102