GRADE 8TH MATH CHART

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tea.state.tx.us

PERIMETER-the 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=4sP=2l+2w

k6-geometric-shapes.com

Mrs. Dunwoody needs carpet to measure the perimeter of her whole house.Which can she determine of how much carpet she needs?

Word Problem:

Answer:A=lxwxh

CIRCUMFERENCE-C=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

marthalakecov.org

A student is drawing a circle to find the Circumference of the circle.how can they find the circumference?

Word Problem:

Answer:C=3.14

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

Word Problem:

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

A student was observing a cone and wants to figure out how to find the volume of the cone

Answer:V=1/3Bh

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

A circle has a radius of 1.50

PYTHAGOREAN THEOREM

Pythagorean theorem or Pythagoras' theorem is a relation in Euclidean geometry among the three sides of a right triangle (right-angled 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

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

Word Problem:

What is the area of this square?Answer:4+4+4+4=16

RECTANGLE

a rectangle is any quadrilateral with four right angles. The term "oblong" is occasionally used to refer to a non-square rectangle P=2l+2wtutorvista.com

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

CIRCLE

A circle is the locus of all points equidistant from a central point C=2X3.14Rtutorvista.com

Word Problem:

Mrs.rhine is wanting to find the circumference of the circle .What is the circumference of the circle?

Answer:C=3.14

TRIANGLE

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=1/2bhlibrary.thinkquest.org

Word Problem:

A student is trying to find the height of a triangle.What is the height?

Answer:H=30cm

TRAPEZOID

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. A=1/2(b1+b2)hk6-geometric-shapes.com

Another student wants to find the pereimeter of a trapezoid.what is the perimeter?

Word Problem:

Answer:3+5+10+8=26cm

CUBE

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=6s2talkstandards.com

Word Problem:

A cube has a height of 5in. And a base of 25in.what is the area of the cube?

Answer:140cm.

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

1uptravel.com

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

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