math's project work

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Math's Project Work Maths is not about numbers , equations , algorithms ; its about understanding…………………

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Page 1: Math's project work

Math's Project Work Maths is not about numbers ,

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

Page 2: Math's project work

Visualizing Solid Shapes

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

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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.

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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.

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2-Dimensional Shapes Some examples of two-dimensional shapes

are rectangles, circles, triangles, hexagons, trapezoids and quadrilaterals

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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).

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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.

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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."

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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.

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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

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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

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Views of 3-D shapes

Side view

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Views of 3-D shapes

Top view

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Views of 3-D shapes

Front view

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Different views of a Isometric shape

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1. a 3d shape is ______.

Solid flat small none of these

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2. A 2d shape is ________.

Solid flat small none of these

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3. 2d shapes can be drawn on ________.

WoodGlassMetalPaper

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4. Map is a __________.

Pictorial representationMathematical problemGraphical representationScientific term

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5. What black represents on a map?

River Canals highwaysman made features

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6. What red represents on a map?

River Canals highwaysman made features

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7. What blue represents on a map?

STREAMSROADS highwaysman made features

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8. What pink represents on a map?

River CanalsUrban areasman made features

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