triangles

Fraction

Fraction

DIVIDING TO EQUAL PARTS

DIVIDING TO EQUAL PARTS

WAY TO DIVIDING TO EQUAL PART AND SIMPLIFY

1. ONE THIRD OF AN INCHES
2. TEN PERCENT OF CUTTING WASTE

SECTION CUT and 360 degree rotation

SECTION CUT AND 360 DEGREE ROTATION

AREA TO VOLUME

AREA TO VOLUME

SECTION CUT

SECTION CUT

Under The Curve Area, Above The Curve Area and The Average Area

The under the curve, above the curve and average Areas

LENGTH TWO AND THREE DIMENSION

RECOGNIZING OF THE LENGTH

FORMULAS FOR THE UNKNOWN LENGTH OF TWO AND THREE DIMENSION

The box

the box

3d 

•  The starting point is (x =0, y =0 and z =0) called origin point. 
• ( x =1, y=1, z=1) = extending x  one unit in the positive direction, extending y one unit in the positive direction and extending z one unit in the positive direction from the original point. 

Circle

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CIRCLE BASIC

1.  Radius
2. Diameter
3. Circumference
4. A line passing through a circle * JUST TOUCH the surface * is called TANGENT LINE

SPHERE 

• Any line from the center of the sphere to the surface is equal called Radius

a cube is having six surfaces

A CUBE IS HAVING 6 SURFACES

oblique and surfaces

Practical problem for caculate the area of the room and the volume of the refrigerator

HOW to calculate the area of a room in our home?

1. unit for the measurement of the length is feet (foot is singular)
2. The area of the closet
3. The area of the room

THE VOLUME OF THE REFRIGERATOR

 (feet) X (feet) = feet^2

(feet) X (feet) * (feet) = feet^ 3

Area and volume

AREA AND VOLUME

To find the area of a square or the rectangle, we need to know the base length and the height

VOLUME

• the base
• the height
• the depth

The volume has six surfaces:

• the button
• the top
• the left side
• the right side
• the front 
• and the back

3D

THE 3 DIMENSION,

FROM B

• The x, y and z axis
• lines parallel to the x-axis 
• lines parallel to the y-axis
• lines parallel to the z-axis

FROM A

Connect the points, we have the 3D picture.
KEY WORDS:

1. DEPTH, in this picture, lines that parallel to the y-axis
2. HEIGHT, parallel to the z-axis
3. WIDTH, parallel to the x-axis