GRADE 8TH MATH CHART
aaaaaccia
tea.state.tx.us
PERIMETERthe border or outer boundary of a
two-dimensional figure. And the
length of such a boundary.
a line bounding or marking off an
area and
the outermost limits.
P=4s
P=2l+2w
k6-geometric-shapes.com
CIRCUMFERENCEC=2(3.14)R
The circumference of a circle is the length around it. The
circumference of a circle can be calculated from its
diameter using the formula:
Or, substituting the radius for the diameter:
where r is the radius and d is the diameter of the circle,
and π (the Greek letter pi) is defined as the ratio of the
circumference of the circle to its diameter
Word Problem:
A student is drawing a circle to find the
Circumference of the circle.
how can they find the circumference?
Answer:C=3.14
marthalakecov.org
SURFACE AREA
Surface area is the measure of how much exposed area a solid object
has, expressed in square units. Mathematical description of the surface
area is considerably more involved than the definition of arc length of a
curve. For polyhedra (objects with flat polygonal faces) the surface area is
the sum of the areas of its faces. Smooth surfaces, such as a sphere, are
assigned surface area using their representation as parametric surfaces.
This definition of the surface area is based on methods of infinitesimal
calculus and involves partial derivatives and double integration.
VOLUME
A cone is a three-dimensional shape that has 2 faces, 1
base, 1 vertex and 1 edge. The formula for the volume of
a cone can be determined from the volume formula for a
cylinder--in fact, you follow the exact same formula, and
then you divide your answer by 3. You can calculate the
volume of a cone using these simple steps
Word Problem:
A student was observing a cone and
wants to figure out how to find the
volume of the cone
Answer:V=1/3Bh
A circle has a radius of
1.50
PI 3.14
is a mathematical constant whose value is the ratio of
any circle's circumference to its diameter in
Euclidean space; this is the same value as the ratio of
a circle's area to the square of its radius.
vijayforvictory.com
PYTHAGOREAN THEOREM
Pythagorean theorem or Pythagoras' theorem is a relation in
Euclidean geometry among the three sides of a right triangle (rightangled triangle). In terms of areas, it states:
In any right triangle, the area of the square whose side is the
hypotenuse (the side opposite the right angle) is equal to the sum of
the areas of the squares whose sides are the two legs (the two sides
that meet at a right angle).
SIMPLE INTEREST FORMULA
Calculate simple interest,principal,rateor time when
3values are known.
algebra.com
SQUARE
Word Problem:
What is the area of this square?
Answer:4+4+4+4=16
P=4s
In geometry, a square is a regular quadrilateral.
This means that it has four equal sides and four
equal angles (90 degree angles, or right angles).
wall.org
RECTANGLE
Word Problem:
Mrs.zamora has a rectangle table
and wants to find the perimeter of
the table. What is the perimeter of
the rectangle?
Answer:10+10+5+5=30cm
a rectangle is any quadrilateral with four right angles.
The term "oblong" is occasionally used to refer to a
non-square rectangle
P=2l+2w
tutorvista.com
Word Problem:
CIRCLE
Mrs.rhine is wanting to find the
circumference of the circle
.What is the circumference of the
circle?
Answer:C=3.14
A circle is the locus of all points equidistant from a
central point
C=2X3.14R
tutorvista.com
TRIANGLE
Word Problem:
A student is trying to find the
height of a triangle.What is the
height?
Answer:H=30cm
A triangle is one of the basic shapes of geometry: a
polygon with three corners or vertices and three sides
or edges which are line segments
A=1/2bh
library.thinkquest.org
Word Problem:
TRAPEZOID
Another student wants to find the
pereimeter of a trapezoid.what is
the perimeter?
Answer:3+5+10+8=26cm
a four-sided figure with one pair of parallel sides is
referred to as a trapezoid in American English and as
a trapezium in English outside North America.
k6-geometric-shapes.com
A=1/2(b1+b2)h
CUBE
Word Problem:
A cube has a height of 5in.
And a base of 25in.what is the
area of the cube?
Answer:140cm.
The film was a successful product of the Canadian
Film Centre's First Feature Project.[1] Despite its low
budget, the film achieved moderate commercial
success and has acquired cult status
S=6s2
talkstandards.com
PRISM
a prism is a transparent optical element with flat, polished surfaces
that refract light. The exact angles between the surfaces depend on
the application. The traditional geometrical shape is that of a
triangular prism with a triangular base and rectangular sides, and in
colloquial use "prism" usually refers to this type.
S=PH+2B
mathsteacher.com.au
A PYRAMID (FROM GREEK "ΠΥΡΑΜΊΣ" PYRAMIS[1]) IS A STRUCTURE WHERE THE
OUTER SURFACES ARE TRIANGULAR AND
CONVERGE AT A POINT. THE BASE OF A
PYRAMID CAN BE TRILATERAL,
QUADRILATERAL, OR ANY POLYGON SHAPE,
MEANING THAT A PYRAMID HAS AT LEAST
THREE TRIANGULAR SURFACES (AT LEAST
FOUR FACES INCLUDING THE BASE).
S=1/2PL+B
1uptravel.com
CYLINDER
S=2(3.14)RH+2(3.14)R2
A cylinder is one of the most basic curvilinear geometric shapes,
the surface formed by the points at a fixed distance from a given
line segment, the axis of the cylinder. The solid enclosed by this
surface and by two planes perpendicular to the axis is also
called a cylinder. The surface area and the volume of a cylinder
have been known since deep antiquity.
teacherfiles.com
CONE
A cone is a three-dimensional geometric shape that tapers
smoothly from a flat, usually circular base to a point called the
apex or vertex. More precisely, it is the solid figure bounded by
a plane base and the surface (called the lateral surface) formed
by the locus of all straight line segments joining the apex to the
perimeter of the base.
daviddarling.info
SPHERE
A sphere (from Greek σφαῖρα—sphaira, "globe, ball") is a
perfectly round geometrical object in three-dimensional space,
such as the shape of a round ball. Like a circle in two
dimensions, a perfect sphere is completely symmetrical around
its center, with all points on the surface lying the same distance r
from the center point.
accad.osu.edu