39 terms

area of a parallelogram

a=lxh

achieved by multiplying the length of the figure by the width of the figure.

achieved by multiplying the length of the figure by the width of the figure.

area of a circle

a=pie (3.14) x r squared

area is achieved by squaring the radius and multiplying it by 3.14.

Ex: if radius is 6, then 6 squared (6x6) = 36.

36 x 3.14 = 113

area=113

area is achieved by squaring the radius and multiplying it by 3.14.

Ex: if radius is 6, then 6 squared (6x6) = 36.

36 x 3.14 = 113

area=113

volume of a rectangular solid

v=lxwxh

volume is achieved by multiplyng the length of figure by the width of figure, then multiplying that by the height.

volume is achieved by multiplyng the length of figure by the width of figure, then multiplying that by the height.

sum of measures of 3 angles of triangles

180 degrees

pythagorean theory

theory stating that in any right triangle with legs (shorter sides) a and b, and hypotenuse (longest side) c, the sum of the suares of the sides will be equal to the square of the hypotenuse:

(a squared + b squared = c squared)

side a = 3 (leg, short side)

side b = 4 (leg, short side)

side c = 5 (hypotenuse/longest side)

3 squared = 9 4 squared = 16

3 squared + 4 squared = 9 + 16

9 + 16 = 25

5 squared = 25

25 = 25

(a squared + b squared = c squared)

side a = 3 (leg, short side)

side b = 4 (leg, short side)

side c = 5 (hypotenuse/longest side)

3 squared = 9 4 squared = 16

3 squared + 4 squared = 9 + 16

9 + 16 = 25

5 squared = 25

25 = 25

figure with 4 lines of symmetry

square

figure with 2 lines of symmetry

rectangle

figure with infinite number of lines of symmetry

circle

tesselation

pattern formed by the repetition of a single unit or shape that, when repeated, fills the plane with no gaps and no overlaps.

time conversions

1 year = 365 days

1 year = 12 months

1 year = 52 weeks

1 week = 7 days

1 day = 24 hours

1 hour = 60 minutes

1 minute = 60 seconds

1 year = 12 months

1 year = 52 weeks

1 week = 7 days

1 day = 24 hours

1 hour = 60 minutes

1 minute = 60 seconds

celsius

temperature scale used in countries throughout the world.

Its especially used in scientific experimentation.

Its especially used in scientific experimentation.

farenheit

temperature scale that is used in the united states.

temperature water boils

212 degrees farenheight or 100 degrees celsius.

temperature water freezes

32 degrees farenheit or 0 degrees celsius.

translation

also called a slide.

In geometry, this simply means moving.

The direction and distance of each move is known as a transformation that moves a geometric figure by sliding.

In geometry, this simply means moving.

The direction and distance of each move is known as a transformation that moves a geometric figure by sliding.

rotation

also called a turn.

In geometry this is known as a transformation that mean to turn the shape around.

Each turn has a center and an angle for movement around a given number of degrees.

In geometry this is known as a transformation that mean to turn the shape around.

Each turn has a center and an angle for movement around a given number of degrees.

reflection

also called a flip.

Known as a transformation that means to make the figure/object appear to be backwards or flipped.

It produces a mirror image of a geometric figure.

Known as a transformation that means to make the figure/object appear to be backwards or flipped.

It produces a mirror image of a geometric figure.

scientific notation

Form of writing a number based on powers of the base number 10.

Ex: 123,000,000,000

1.23 x 10 to the 11th power (meaning 10 x itself 11 times)

the first number 1.23 is called the "coefficient". It must be greater than or equal to 1 and less than 10.

The second number is called the "base" . It must always be 10 in scientific notation. The base number 10 is always written in exponent form. In the number 1.23 x 10 to the 11th power, the number 11 is referred to as the exponent or power of ten.

To write a number in scientific notation:

1. Put the decimal after the first digit and drop the zeroes.

In the number 123,000,000,000 the coefficient will be 1.23

*the decimal will go after the 1 and get rid of all the zeroes in the number. Keep all numbers besides zeroes as part of the coefficient.

2. To find the exponent count the number of places from the decimal to the end of the number. All the numbers after the decimal are included in this counting, regardless if they're zeroes or other numbers.

In 123,000,000,000 there are 11 places.

1.23,000,000,000

12 345 678 91011

therefore we write 123,000,000,000 as:

1.23 x 10 to the 11th power.

Ex: 123,000,000,000

1.23 x 10 to the 11th power (meaning 10 x itself 11 times)

the first number 1.23 is called the "coefficient". It must be greater than or equal to 1 and less than 10.

The second number is called the "base" . It must always be 10 in scientific notation. The base number 10 is always written in exponent form. In the number 1.23 x 10 to the 11th power, the number 11 is referred to as the exponent or power of ten.

To write a number in scientific notation:

1. Put the decimal after the first digit and drop the zeroes.

In the number 123,000,000,000 the coefficient will be 1.23

*the decimal will go after the 1 and get rid of all the zeroes in the number. Keep all numbers besides zeroes as part of the coefficient.

2. To find the exponent count the number of places from the decimal to the end of the number. All the numbers after the decimal are included in this counting, regardless if they're zeroes or other numbers.

In 123,000,000,000 there are 11 places.

1.23,000,000,000

12 345 678 91011

therefore we write 123,000,000,000 as:

1.23 x 10 to the 11th power.

linear measurements: standard & metric

standard (customary) units of length includ inches, feet, yards, and miles.

Metric units of length include millimeters, centimeters, meters, and kilometers. The centimeter is the basic metric unit of length, at least for short distances. There are about 2.5 centimeters to 1 inch. The kilometer is a metric unit of length used for longer distances. It takes more than 1.5 kilometers to make a mile.

Metric units of length include millimeters, centimeters, meters, and kilometers. The centimeter is the basic metric unit of length, at least for short distances. There are about 2.5 centimeters to 1 inch. The kilometer is a metric unit of length used for longer distances. It takes more than 1.5 kilometers to make a mile.

measurement of mass: standard & metric

standard (customary) units of weight include ounces, pounds, and tons.

Metric units of weight include grams and kilograms. The gram is the basic metric unit of mass. A large paper clip weighs about 1 gram. It takes about 28 grams to make 1 ounce.

Metric units of weight include grams and kilograms. The gram is the basic metric unit of mass. A large paper clip weighs about 1 gram. It takes about 28 grams to make 1 ounce.

volume measurements: standard & metric

standard (customary) units of capacity include teaspoons, tablespoons, cups, pints, quarts and gallons.

Metric units of capacity include milliliters and liters. The liter is the basic metric unit of volume. A liter is slightly larger than a quart, so it takes mmore than 4 liters to make a gallon.

Metric units of capacity include milliliters and liters. The liter is the basic metric unit of volume. A liter is slightly larger than a quart, so it takes mmore than 4 liters to make a gallon.

linear measurement conversion chart

standard:

12 inches = i foot

3 feet = 1 yard

1,760 yards = 1 mile

5,280 feet = 1 mile

metric:

10 millimeters = 1 centimeter

100 centimeters = 1 meter

1000 meters = 1 kilometer

12 inches = i foot

3 feet = 1 yard

1,760 yards = 1 mile

5,280 feet = 1 mile

metric:

10 millimeters = 1 centimeter

100 centimeters = 1 meter

1000 meters = 1 kilometer

capacity & volume measurement conversion chart

standard:

1 gallon = 4 quarts

1 gallon = 128 fluid ounces

1 quart = 2 pints

1 pint = 2 cups

1 pint = 16 fluid ounces

1 cup = 8 fluid ounces

metric:

1 liter = 1000 milliliters

1 liter = 1.0556 quarts

1 gallon = 4 quarts

1 gallon = 128 fluid ounces

1 quart = 2 pints

1 pint = 2 cups

1 pint = 16 fluid ounces

1 cup = 8 fluid ounces

metric:

1 liter = 1000 milliliters

1 liter = 1.0556 quarts

mass & weight measurement conversion chart

standard:

1 ton = 2000 pounds

1 pound = 16 ounces

metric:

1 kilogram = 1000 grams

1 gram = 1000 milligrams

1 ton = 2000 pounds

1 pound = 16 ounces

metric:

1 kilogram = 1000 grams

1 gram = 1000 milligrams

deductive reasoning

reasoning from the general to the specific.

inductive reasoning

reasoning that involves examining particular instances to come to some general assumptions.

It is informal and intuitive.

It is informal and intuitive.

similar

figures having the exact same shapes, even if they do not have the same size.

proportional

corresponding angles of similar figures that have the same measure, and the lengths of corresponding sides.

congruent

figures that have the same size and same shape.

parallel lines

lines that do not intersect.

perpendicular lines

lines crossing at right angles.

range

the difference between the greatest and the lest numbers in the data set.

Subtract the two numbers to find the difference.

Subtract the two numbers to find the difference.

mean

the average of the data values in a set of numbers.

To find, add all of the data values and then divide this sum by the number of values in the set.

To find, add all of the data values and then divide this sum by the number of values in the set.

median

the middle value of all the numbers in a set.

To find the middle value, list the numbers in order from least to greatest. Cross out one value on each end of the list until you reach the middle.

If there are 2 values in the middle, find the number halfway between the 2 values by adding them together and dividing their sum by 2.

To find the middle value, list the numbers in order from least to greatest. Cross out one value on each end of the list until you reach the middle.

If there are 2 values in the middle, find the number halfway between the 2 values by adding them together and dividing their sum by 2.

mode

the value (or values) that appear in a set of data more frequently than any other values.

If all of the values in a set of data appear the same number of times, the set does not have a mode.

If all of the values in a set of data appear the same number of times, the set does not have a mode.

probability

a way of describing how likely it is a particular outcome will occur.

Using a fraction: the numerator of the fraction is the number of favorable outcomes for the experiment.

The denominator of the fraction is the number of all the possible outcomes for the experiment.

Probability= number of favorable outcomes

-------------------------------------------------------

total number of possible outcomes

Using a fraction: the numerator of the fraction is the number of favorable outcomes for the experiment.

The denominator of the fraction is the number of all the possible outcomes for the experiment.

Probability= number of favorable outcomes

-------------------------------------------------------

total number of possible outcomes

sample space

set of all possible outcomes of an experiment.

permutations

all possible arrangements of a given number of items in which the order of the items makes a difference.

Ex: the different ways a set of 4 books can be placed on a bookshelf.

Ex: the different ways a set of 4 books can be placed on a bookshelf.

line plot

represents a set of data by showing how often a piece of data appears in a set.