Download Math Vocabulary PowerPoint

Document related concepts

Line (geometry) wikipedia , lookup

Steinitz's theorem wikipedia , lookup

Multilateration wikipedia , lookup

History of trigonometry wikipedia , lookup

Euler angles wikipedia , lookup

Reuleaux triangle wikipedia , lookup

Complex polytope wikipedia , lookup

Rational trigonometry wikipedia , lookup

Trigonometric functions wikipedia , lookup

Integer triangle wikipedia , lookup

Pythagorean theorem wikipedia , lookup

Euclidean geometry wikipedia , lookup

Transcript
even number
A number divisible by 2.
Numbers ending in
0, 2, 4, 6, or 8.
odd number
A number NOT divisible by 2.
Numbers ending in
1, 3, 5, 7, 9.
associative property
of multiplication
When three or more numbers are multiplied,
the product is the same regardless of the
grouping of the factors.
(2 x 3) x 4 = 24
2 x (3 x 4) = 24
(2 x 4) x 3 = 24
also called the
Grouping Property
addend
The numbers added together
to form a sum.
7 + 8 = 15
sum
factors
The numbers that are multiplied in
a multiplication problem.
3 x 5 = 15
product
sum
the answer to an addition problem
difference
the answer to a subtraction problem
product
the answer to a multiplication problem
quotient
the answer to a division problem
commutative property
of multiplication
The property that states that
changing the order of the factors
does not affect the product.
Example:
3 x 5 = 15
and
5 x 3 = 15
line
A straight path that extends
in both directions without end;
marked with an arrowhead at
each end.
line segment
A piece of a line that has
two endpoints.
parallel lines
Two (or more) lines that run the
same distance apart at every point
and will never intersect.
ray
A line with one end point that
extends non-stop in the
opposite direction.
angle
A shape formed by two rays
that share an endpoint.
vertex
plural: vertices
The point where:
• two or more rays share an endpoint.
• the edges of a solid figure meet.
The point at the top of a cone.
intersecting lines
Two or more lines that
meet or cross at a point.
perpendicular lines
Two lines that intersect
and form right angles.
protractor
Tool used to
measure angles.
 A full circle rotation is equal to 360° (degrees)
When divided into four equal sections, each section is worth 90°
360°
90°
90
90°°
270°
90°
90°
90
90
90°°°
180°
90°
1 rotation
=
2 rotations
= 180°
3 rotations
= 270°
4 rotations
= 360°
right angle
An angle measuring 90 degrees.
acute angle
An angle that measures
LESS than 90 degrees.
obtuse angle
An angle that measures
MORE than 90 degrees.
straight angle
An angle that measures
180 degrees.
four criteria for a
polygon
A polygon
 is made up of all straight line segments
 is closed (has no breaks in the line segments)
 is 2-dimensitional, plane shape
 has no lines that cross over each other
 a polygon has line segments, vertices, and angles
regular polygon
A polygon with all equal sides
and all equal angles.
irregular polygon
A polygon that does NOT
have all equal sides and
equal angles.
four criteria of a
rectangle
A rectangle:
 is a quadrilateral.
 is made up of four line segments.
 has four 90° angles.
 is a parallelogram – a four sided polygon
with two pairs of parallel sides.
parallelogram
A quadrilateral (four sided polygon)
with two pairs of parallel sides.
trapezoid
A quadrilateral (four sided polygon)
with one pair of parallel sides.
congruent
• Figures that have the same size AND same shape.
• The figures do not have be in the same position.
•If you placed the two shapes directly on top of each
other they would match up perfectly.
similar
Figures that have the same shape,
but are not the same size.
line of symmetry
The line that divides a figure in half
so that both halves are exactly
the same.
equilateral
triangle
A triangle with all three
sides of equal length.
3 in.
3 in.
3 in.
isosceles
triangle
A triangle with two sides that
are equal and one that is not.
5 in.
5 in.
3 in.
scalene triangle
A triangle with all sides that
are a different length.
8 in.
4 in.
9 in.
right triangle
A triangle with at least
one right angle.
triangle
A polygon with 3 sides.
quadrilateral
A polygon with 4 sides.
quadrilateral
A polygon with 4 sides.
parallelograms
trapezoids
rhombus
rhombus
A quadrilateral with two pairs of
parallel sides and four equal sides.
pentagon
A polygon with 5 sides.
hexagon
A polygon with 6 sides.
octagon
A polygon with 8 sides.
decagon
A polygon with 10 sides.
obtuse triangle
A triangle having an obtuse angle.
One of the angles of the triangle
measures more than 90 degrees.
acute triangle
A triangle having three acute angles.
Which months
have 30 days?
April
June
September
November
Which months have
31 days?
January
March
May
July
August
October
December
area
The number of square units
that can fit inside of a shape.
To find the _______ , count
the square units.
area = 9 square units
perimeter
The distance around the outside
of a shape.
To find the __________ , add the length
of all the sides.
2 cm + 3 cm + 3 cm = 8 cm
The perimeter of this figure is
8 centimeters.
bar graph
vertex
vertices
(plural)
A corner where two or more
straight lines meet on a
3-dimenstional shape.
vertex
denominator
The number below the bar in a fraction.
It tells the total number of equal
parts or groups into which the
whole or group has been divided.
numerator
The number above the bar in a fraction.
It tells how many of the equal parts of
the whole or group are being considered.
Celsius
The metric
unit for
measuring
temperature.
Fahrenheit
Customary or
standard unit
for measuring
temperature.
standard form
2,394
A way to write numbers
by using the digits 0-9.
expanded form
241 = 200 + 40 + 1
word form
A way to write numbers
by using words.
two-hundred fifty-seven
key
Used on a pictograph to tell how
many each picture stands for.
line plot
line graph
A graph that uses a line to show how
something changes over time.
mixed number
Number represented by a
whole number and a fraction.
3
5
8
fraction greater
than one
A fraction in which the numerator is
larger than
the denominator.
5
3
gram and kilogram
A metric unit for measuring mass.
1,000 grams = 1 kilogram
The prefix kilois equal to
1,000
kilometer = 1,000 meters
kilogram = 1,000 grams
centiThe prefix is equal to
100
century = 100 years
100 centimeters = 1 meter
liter and milliliter
Metric units for measuring capacity.
1,000 milliliters = 1 liter
The prefix
milli-
is equal to
1,000
decimeter
A metric unit for measuring length.
10 centimeters = 1 decimeter
A decimeter (dm) is about the width
of an adult's hand.
ante meridiem
a.m.
The time of day starting at midnight
and ending at noon.
In Latin, ante meridiem means
“before the midday.”
post meridiem
p.m.
The time of day starting at noon
and ending at midnight.
In Latin, post meridiem means
“after midday.”
analog
clock
digital
clock
colon
:
The symbol used to separate the hour
from the minutes on a digital clock.
array
A model of multiplication
that arranges objects in
rows and columns.
capacity
The amount a container can hold.
Customary
cups
pints
quarts
gallons
capacity
The amount a container can hold.
Metric
milliliters
liters
kiloliters
temperature
Freezing Point of Water
32 degrees
Fahrenheit
0 degrees
Celsius
Boiling Point of Water
212 degrees
Fahrenheit
100 degrees
Celsius
Normal Body
Temperature
98.6 degrees
Fahrenheit
37 degrees
Celsius
decimals
thousandths
hundredths
,
tenths
ones
tens
,
hundreds
thousands
ten thousands
hundred
thousands
millions
ten
millions
hundred
millions
Place Value Chart
●
Example:
634,822
•Standard Form: 634,822
•Word Form:
six hundred thirty-four thousand, eight hundred twenty-two
•Expanded Form: 600,000 + 30,000 + 4,000 + 800 + 20 + 2 = 634,822
•What is the value of the underlined digit in the number 634,822 = 600,000
•What place value does the underlined digit hold? = hundred thousands
Distributive Property of
Multiplication
The property that states that multiplying a sum by a
number is the same as multiplying each addend by the
number and then adding the products.
break down the 8 into 5 + 3
break down the 16 into 10 + 6
7 x 8
5 x 16
5+3
(7 x 5) + (7 x 3)
35 + 21 = 56
10 + 6
(5 x 10) + (5 x 6)
50 + 30 = 80
Identity Property of Multiplication
The property that states that the product
of any number and 1 is that number.
Examples:
5×1=5
248 x 1 = 248
1×8=8
data
Another word for information.
Information collected about
people or things and can be
represented in graph form.
diagonal
A line segment that connects two vertices of a
polygon that are not next to each other.
inverse operations
opposite operations
Operations that undo and check one another.
addition and subtraction
are inverse operations
multiplication and division
are inverse operations.
even number
A number divisible by 2.
Numbers ending in
0, 2, 4, 6, or 8.
odd number
A number NOT divisible by 2.
Numbers ending in
1, 3, 5, 7, 9.
associative property
of multiplication
When three or more numbers are multiplied,
the product is the same regardless of the
grouping of the factors.
(2 x 3) x 4 = 24
2 x (3 x 4) = 24
(2 x 4) x 3 = 24
also called the
Grouping Property
addend
The numbers added together
to form a sum.
7 + 8 = 15
sum
factors
The numbers that are multiplied in
a multiplication problem.
3 x 5 = 15
product
sum
the answer to an addition problem
difference
the answer to a subtraction problem
product
the answer to a multiplication problem
quotient
the answer to a division problem
commutative property
of multiplication
The property that states that
changing the order of the factors
does not affect the product.
Example:
3 x 5 = 15
and
5 x 3 = 15
line
A straight path that extends
in both directions without end;
marked with an arrowhead at
each end.
line segment
A piece of a line that has
two endpoints.
parallel lines
Two (or more) lines that run the
same distance apart at every point
and will never intersect.
ray
A line with one end point that
extends non-stop in the
opposite direction.
angle
A shape formed by two rays
that share an endpoint.
vertex
plural: vertices
The point where:
• two or more rays share an endpoint.
• the edges of a solid figure meet.
The point at the top of a cone.
intersecting lines
Two or more lines that
meet or cross at a point.
perpendicular lines
Two lines that intersect
and form right angles.
protractor
Tool used to
measure angles.
 A full circle rotation is equal to 360° (degrees)
When divided into four equal sections, each section is worth 90°
360°
90°
90
90°°
270°
90°
90°
90
90
90°°°
180°
90°
1 rotation
=
2 rotations
= 180°
3 rotations
= 270°
4 rotations
= 360°
right angle
An angle measuring 90 degrees.
acute angle
An angle that measures
LESS than 90 degrees.
obtuse angle
An angle that measures
MORE than 90 degrees.
straight angle
An angle that measures
180 degrees.
four criteria for a
polygon
A polygon
 is made up of all straight line segments
 is closed (has no breaks in the line segments)
 is 2-dimensitional, plane shape
 has no lines that cross over each other
 a polygon has line segments, vertices, and angles
regular polygon
A polygon with all equal sides
and all equal angles.
irregular polygon
A polygon that does NOT
have all equal sides and
equal angles.
four criteria of a
rectangle
A rectangle:
 is a quadrilateral.
 is made up of four line segments.
 has four 90° angles.
 is a parallelogram – a four sided polygon
with two pairs of parallel sides.
parallelogram
A quadrilateral (four sided polygon)
with two pairs of parallel sides.
trapezoid
A quadrilateral (four sided polygon)
with one pair of parallel sides.
congruent
• Figures that have the same size AND same shape.
• The figures do not have be in the same position.
•If you placed the two shapes directly on top of each
other they would match up perfectly.
similar
Figures that have the same shape,
but are not the same size.
line of symmetry
The line that divides a figure in half
so that both halves are exactly
the same.
equilateral
triangle
A triangle with all three
sides of equal length.
3 in.
3 in.
3 in.
isosceles
triangle
A triangle with two sides that
are equal and one that is not.
5 in.
5 in.
3 in.
scalene triangle
A triangle with all sides that
are a different length.
8 in.
4 in.
9 in.
right triangle
A triangle with at least
one right angle.
triangle
A polygon with 3 sides.
quadrilateral
A polygon with 4 sides.
quadrilateral
A polygon with 4 sides.
parallelograms
trapezoids
rhombus
rhombus
A quadrilateral with two pairs of
parallel sides and four equal sides.
pentagon
A polygon with 5 sides.
hexagon
A polygon with 6 sides.
octagon
A polygon with 8 sides.
decagon
A polygon with 10 sides.
obtuse triangle
A triangle having an obtuse angle.
One of the angles of the triangle
measures more than 90 degrees.
acute triangle
A triangle having three acute angles.
Which months
have 30 days?
April
June
September
November
Which months have
31 days?
January
March
May
July
August
October
December
area
The number of square units
that can fit inside of a shape.
To find the _______ , count
the square units.
area = 9 square units
perimeter
The distance around the outside
of a shape.
To find the __________ , add the length
of all the sides.
2 cm + 3 cm + 3 cm = 8 cm
The perimeter of this figure is
8 centimeters.
bar graph
vertex
vertices
(plural)
A corner where two or more
straight lines meet on a
3-dimenstional shape.
vertex
denominator
The number below the bar in a fraction.
It tells the total number of equal
parts or groups into which the
whole or group has been divided.
numerator
The number above the bar in a fraction.
It tells how many of the equal parts of
the whole or group are being considered.
Celsius
The metric
unit for
measuring
temperature.
Fahrenheit
Customary or
standard unit
for measuring
temperature.
standard form
2,394
A way to write numbers
by using the digits 0-9.
expanded form
241 = 200 + 40 + 1
word form
A way to write numbers
by using words.
two-hundred fifty-seven
key
Used on a pictograph to tell how
many each picture stands for.
line plot
line graph
A graph that uses a line to show how
something changes over time.
mixed number
Number represented by a
whole number and a fraction.
3
5
8
fraction greater
than one
A fraction in which the numerator is
larger than
the denominator.
5
3
gram and kilogram
A metric unit for measuring mass.
1,000 grams = 1 kilogram
The prefix kilois equal to
1,000
kilometer = 1,000 meters
kilogram = 1,000 grams
centiThe prefix is equal to
100
century = 100 years
100 centimeters = 1 meter
liter and milliliter
Metric units for measuring capacity.
1,000 milliliters = 1 liter
The prefix
milli-
is equal to
1,000
decimeter
A metric unit for measuring length.
10 centimeters = 1 decimeter
A decimeter (dm) is about the width
of an adult's hand.
ante meridiem
a.m.
The time of day starting at midnight
and ending at noon.
In Latin, ante meridiem means
“before the midday.”
post meridiem
p.m.
The time of day starting at noon
and ending at midnight.
In Latin, post meridiem means
“after midday.”
analog
clock
digital
clock
colon
:
The symbol used to separate the hour
from the minutes on a digital clock.
array
A model of multiplication
that arranges objects in
rows and columns.
capacity
The amount a container can hold.
Customary
cups
pints
quarts
gallons
capacity
The amount a container can hold.
Metric
milliliters
liters
kiloliters
temperature
Freezing Point of Water
32 degrees
Fahrenheit
0 degrees
Celsius
Boiling Point of Water
212 degrees
Fahrenheit
100 degrees
Celsius
Normal Body
Temperature
98.6 degrees
Fahrenheit
37 degrees
Celsius
decimals
thousandths
hundredths
,
tenths
ones
tens
,
hundreds
thousands
ten thousands
hundred
thousands
millions
ten
millions
hundred
millions
Place Value Chart
●
Example:
634,822
•Standard Form: 634,822
•Word Form:
six hundred thirty-four thousand, eight hundred twenty-two
•Expanded Form: 600,000 + 30,000 + 4,000 + 800 + 20 + 2 = 634,822
•What is the value of the underlined digit in the number 634,822 = 600,000
•What place value does the underlined digit hold? = hundred thousands
Distributive Property of
Multiplication
The property that states that multiplying a sum by a
number is the same as multiplying each addend by the
number and then adding the products.
break down the 8 into 5 + 3
break down the 16 into 10 + 6
7 x 8
5 x 16
5+3
(7 x 5) + (7 x 3)
35 + 21 = 56
10 + 6
(5 x 10) + (5 x 6)
50 + 30 = 80
Identity Property of Multiplication
The property that states that the product
of any number and 1 is that number.
Examples:
5×1=5
248 x 1 = 248
1×8=8
data
Another word for information.
Information collected about
people or things and can be
represented in graph form.
diagonal
A line segment that connects two vertices of a
polygon that are not next to each other.
inverse operations
opposite operations
Operations that undo and check one another.
addition and subtraction
are inverse operations
multiplication and division
are inverse operations.