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Study sets matching "math 10 advanced"

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Study sets matching "math 10 advanced"

31 terms
Advanced Math Chapter 10 Vocabulary
anchor step
arithmetic means
arithmetic sequence
arithmetic series
...
...
...
...
anchor step
...
arithmetic means
...
10 terms
Advanced Math: 10.2
r=a
ϴ=a
rsinϴ=a
rcosϴ=a
circle; center: (0,0); r=a
line, pas through ϴ=a
horizontal line; "a" units from pole; a>0--above pole; a<0--b…
vertical line; "a" units from pole; a>0---right of pole; a<0-…
r=a
circle; center: (0,0); r=a
ϴ=a
line, pas through ϴ=a
8 terms
Advanced Math
pascal's triangle
ellipse
pythagorean theorem
surface area
pascal's triangle
ellipse
35 terms
Year 10: Advanced maths formulas
The sine rule: finding a side
The sine rule: finding an angle
The cosine rule: finding a side
The cosine rule: finding an angle
a/SinA = b/SinB = c/SinC
SinA/a = SinB/b = SinC/c
a² = b² + c² − 2bc cosA
CosA = b² + c² − a²/2bc
The sine rule: finding a side
a/SinA = b/SinB = c/SinC
The sine rule: finding an angle
SinA/a = SinB/b = SinC/c
18 terms
Advanced Math Group
interger
whole number
natural numbers
counting numbers
positive and negative numbers that are whole. Includes zero
All positive, non-decimal, non-fractional integers
The set of numbers 1, 2, 3, 4, ... Also called counting numbe…
The numbers used to count; the members of the set {1,2,3,4,5,…
interger
positive and negative numbers that are whole. Includes zero
whole number
All positive, non-decimal, non-fractional integers
Advanced Math Chapter 10 Vocabulary
Angle
Degrees
Vertex
Acute Angle
• Two rays with a common endpoint. ... • The rays and the verte…
The common unit of measure for angles.
• The common endpoint of the rays forming the angle.
• An angle with a measure less than 90 degrees.
Angle
• Two rays with a common endpoint. ... • The rays and the verte…
Degrees
The common unit of measure for angles.
13 terms
5th Grade Advanced Math Unit 10
Base
Center
Chord
Circle
Any side of a parallelogram
The given point from which all points on a circle are the sam…
A segment with endpoints on a circle
The set of all points in a plane that are the same distance
Base
Any side of a parallelogram
Center
The given point from which all points on a circle are the sam…
38 terms
Advanced Math Chapter 4 Vocabulary
amplitude
angle of depression
angle of elevation
angular speed
The height from the mean, or rest, value of the function to i…
The angle below horizontal that an observer must look to see…
The angle above horizontal that an observer must look to see…
Angular speed is the rate at which an object changes its angl…
amplitude
The height from the mean, or rest, value of the function to i…
angle of depression
The angle below horizontal that an observer must look to see…
16 terms
Advanced Math Chapter 10.1-10.4
Power
Base
Exponent
Product of Powers Property
a product of repeated factors
a common factor of a power
indicates the number of times the base is used as a factor
the multiply powers with the same base, add their exponents
Power
a product of repeated factors
Base
a common factor of a power
26 terms
Advanced Math
O/A or Y/R
A/H or X/R
O/A or Y/X
A/O or X/Y
sin (y)
cos (x)
tan (sin/cos)
cot
O/A or Y/R
sin (y)
A/H or X/R
cos (x)
Advanced Math vocab 10-1,10-2,10-4
Perfect Square
Real Numbers
Whole Numbers
Natural Numbers
The square root of an integer
consists of all whole numbers, integers, rational numbers and…
0,1,2,3,4,5......
Every number except 0
Perfect Square
The square root of an integer
Real Numbers
consists of all whole numbers, integers, rational numbers and…
29 terms
Advanced Math Vocabulary
literal equation
congruent figures
corresponding angles
corresponding sides
an equation that has two or more variables
figures that have the same size and the same shape
matching angles of two congruent figures
matching sides of two congruent figures
literal equation
an equation that has two or more variables
congruent figures
figures that have the same size and the same shape
Advanced Math
Numerator
Denominator
Fraction
Mixed number
The top part of a fraction
The bottom part of a fraction
A comparison of part to whole
A part to whole number with one or more whole
Numerator
The top part of a fraction
Denominator
The bottom part of a fraction
5 terms
Advanced Math
23 times 5
23 times 25
24 times 22
35 times 23
115
575
528
805
23 times 5
115
23 times 25
575
Advanced Math
A ______ is a set of ordered pairs in…
A ______ is any set of ordered pairs.
The domain is the __-values. The range…
To determine whether a graph represent…
Function
Relation
X, Y
Vertical line
A ______ is a set of ordered pairs in…
Function
A ______ is any set of ordered pairs.
Relation
14 terms
6th Grade Advanced Math
A = bh ÷ 2
A = h (B1 + B2) ÷2
Radius
Diameter
Area of a Triangle
Area of a Trapezoid
Distance from the center to any point on the circle
Distance across the circle through the center
A = bh ÷ 2
Area of a Triangle
A = h (B1 + B2) ÷2
Area of a Trapezoid
26 terms
Advanced Math Chapter 1 Vocabulary
rate
unit rate
complex fraction
Numerator
A rate that compares two quantities with different kinds of u…
A rate that has been simplified so that it has a denominator…
Fractions with a numerator, denominator, or both that are als…
The number in a fraction that is written above the division l…
rate
A rate that compares two quantities with different kinds of u…
unit rate
A rate that has been simplified so that it has a denominator…
23 terms
Advanced Math Chapter 6 Vocabulary
augmented matrix
coefficient matrix
constraint
Cramer's Rule
...
...
...
...
augmented matrix
...
coefficient matrix
...
36 terms
Advanced Math Chapter 8 Vocabulary
component form
components
cross product
direction
...
...
...
...
component form
...
components
...
9 terms
Advanced Math - Properties of Operations
Commutative Property of Addition
Associative Property of Addition
Identity Property (of Addition)
Additive Inverse Property
3 + 2 = 2 + 3
2 + (3 + 4) = (2 + 3) + 4
2 + 0 = 2
2 + (-2) = 0
Commutative Property of Addition
3 + 2 = 2 + 3
Associative Property of Addition
2 + (3 + 4) = (2 + 3) + 4
10 terms
Advanced Math Vocab
Supplementary Angles
Vertical Angles
Adjacent Angles
Similar Figures
Two angles whose measures have a sum of 180 degrees
The angles opposite each other when two lines intersect. Thes…
Tow angle that share a common side and have the same vertex.
Figures that have the same shape, but no necessarily the same…
Supplementary Angles
Two angles whose measures have a sum of 180 degrees
Vertical Angles
The angles opposite each other when two lines intersect. Thes…
22 terms
Advanced Math Chapter 9 Vocabulary
absolute value of a complex number
Argand plane
argument
cardioid
...
...
...
...
absolute value of a complex number
...
Argand plane
...
21 terms
Advanced Math Chapter 12 Vocabulary
antiderivative
definite integral
derivative
difference quotient
...
...
...
...
antiderivative
...
definite integral
...
10 terms
Advanced math
Coefficient
Compound inequality
Defining a variable
Equation
The number factor of a term that contains a variable.
Two inequalities combined by the word "and" or "or"
Choosing a variable and a quantity for the variable to repres…
A mathematical sentence stating that two quantities are equal.
Coefficient
The number factor of a term that contains a variable.
Compound inequality
Two inequalities combined by the word "and" or "or"
24 terms
Advanced Math Chapter 2 Vocabulary
complex conjugates
extraneous solution
horizontal asymptote
irreducible over the reals
...
...
...
...
complex conjugates
...
extraneous solution
...
30 terms
Advanced Math Chapter 11 Vocabulary
alternative hypothesis
binomial distribution
confidence interval
continuous random variable
...
...
...
...
alternative hypothesis
...
binomial distribution
...
15 terms
Advanced Math Chapter 5 Vocabulary
cofunction
difference identity
double-angle identity
half-angle identity
...
...
...
...
cofunction
...
difference identity
...
23 terms
Advanced Math Chapter 7 Vocabulary
axis of symmetry
center
conic section
conjugate axis
...
...
...
...
axis of symmetry
...
center
...
17 terms
Advanced Math Chapter 3 Vocabulary
algebraic function
common logarithm
continuous compound interest
exponential function
...
...
...
...
algebraic function
...
common logarithm
...
35 terms
Advanced Math Geometry Vocabulary
Point
Line
Collinear
Noncollinear
The simplest figure in geometry, pictured by a dot.
A straight line extending in both directions without end.
Two or more points that lie on the same line.
Points not on the same line.
Point
The simplest figure in geometry, pictured by a dot.
Line
A straight line extending in both directions without end.
29 terms
Advanced Math Chapter 1 Vocabulary
composition
constant
continuous function
decreasing function
The combining of functions by using the result of one functio…
...
...
...
composition
The combining of functions by using the result of one functio…
constant
...
5 terms
Advanced Math
Area of a sector (A)
Length of an arc (S)
Angular Velocity (W)
Linear Velocity (V)
.5r^2(Radians)
r(Radians)
Radians/time
r(Radians)/t
Area of a sector (A)
.5r^2(Radians)
Length of an arc (S)
r(Radians)
10 terms
Advanced Math
Mathematical Induction
relation
function
mapping
a method to prove general relationships involving the natural…
any set of ordered pairs
a relation such that every element at the domain there is one…
pictorial method of showing a function
Mathematical Induction
a method to prove general relationships involving the natural…
relation
any set of ordered pairs
8 terms
Advanced math
Opposite
Adjacent
Hypotenuse
Sine
The opposite side is the side that does not touch the angle.
The adjacent side is the side that is not the hypotenuse but…
The hypotenuse side is the side that is the longest you will…
Divide opposite by hypotenuse. AKA-Sin
Opposite
The opposite side is the side that does not touch the angle.
Adjacent
The adjacent side is the side that is not the hypotenuse but…
10 terms
advanced math
profit
securites
Securitles and Exchange Commission
share
money that is made or gained as a result of an invesment
stocks and bonds
a government agency that was established in 1934
one portion of ownership in a corporation
profit
money that is made or gained as a result of an invesment
securites
stocks and bonds
Advanced Math
1
Circle
2
3
Radius is one
The set of all points that are equidistance from a fixed poin…
origin is center (0,0)
Equation is X2 + Y2 = 1
1
Radius is one
Circle
The set of all points that are equidistance from a fixed poin…
Advanced Math
Sine
Cosine
Tan
sin/cos
Opposite over hypotenuse (soh)
Adjacent over hypotenuse (cah)
Opposite over adjacent (toa)
Tan
Sine
Opposite over hypotenuse (soh)
Cosine
Adjacent over hypotenuse (cah)
12 terms
Advanced Math
A number b is less than 12.
X+3>12; x=5
Would the arrow go left or right on th…
Describe how to solve the inequality.…
B<12
No
right
add 3 to the three to cancel it out then add 3 to the five so…
A number b is less than 12.
B<12
X+3>12; x=5
No
16 terms
Advanced math
Linear equations
Distance formula
Slope of a line
Slope intercept form
an equation between two variables that gives a straight line…
Used to determine the distance between 2 points
The slope of a line is a number that measures its "steepness"
Y=mx+b
Linear equations
an equation between two variables that gives a straight line…
Distance formula
Used to determine the distance between 2 points
9 terms
advanced math
what are the reciprocal identities?
what is the acronym for finding the po…
what is the domain of sine and cosine?
what is the domain of tangent, cosecan…
sinθ = 1/cscθ... etc... could also be written as (sinθ)^-1
All (all trig functions are positive in quadrant I) Students…
all reals
not all reals
what are the reciprocal identities?
sinθ = 1/cscθ... etc... could also be written as (sinθ)^-1
what is the acronym for finding the po…
All (all trig functions are positive in quadrant I) Students…
24 terms
Advanced Math
Slope
SA
circle
triangle
y=mx+b
4(pie)r^2
360 degrees
180 degrees
Slope
y=mx+b
SA
4(pie)r^2
16 terms
Advanced Math Operations
Closure Property
Multiplicative Identity
Multiplicative Inverse
Commutative Property of Multiplication
When you perform an operation from a set of numbers, the resu…
x(1) = x... Multiplying by 1 does not change a number's value.
2(1/2) = 1... Multiplying any number by its reciprocal equals 1.
4(5) = 5(4)... Changing the order of factors does not affect the…
Closure Property
When you perform an operation from a set of numbers, the resu…
Multiplicative Identity
x(1) = x... Multiplying by 1 does not change a number's value.
12 terms
Advanced Math
Reciprocal Identities
Reciprocal Identities
Reciprocal identities
Quotient Identities
Sin= 1/csc
Cos= 1/sec
Tan= 1/cot
Cot= cos/sin
Reciprocal Identities
Sin= 1/csc
Reciprocal Identities
Cos= 1/sec
17 terms
Advanced math
Interest
Discounted loan
Discount
Interest
Principle x rate x time
A lender collects the interest from the amount of the loan at…
The interest that us deducted from the loan
The amount of money that we get paid for lending or investing…
Interest
Principle x rate x time
Discounted loan
A lender collects the interest from the amount of the loan at…
20 terms
Advanced Math
Central angle
Arc length (intercepted arc)
Angular velocity
Area of a sector
An angle whose vertex lies at the center of a circle
S=r(theta)
V=r (theta)/t
A=1/2r^2 (theta)
Central angle
An angle whose vertex lies at the center of a circle
Arc length (intercepted arc)
S=r(theta)
42 terms
Advanced Math
sin 30
cos 30
tan 30
csc 30
1/2
square root of 3 over 2
square root of 3 over 3
2
sin 30
1/2
cos 30
square root of 3 over 2
39 terms
Advanced Math Final
Circle General Equation
Circle Standard Equation
Vertical Parabola Standard Equation
Horizontal Parabola Standard Equation
Ax² + Bxy + Cy² + Dx + F = 0
(x-h)² + (y-k)² = r²
(x-h)² = 4p (y-k)
(y-k)² = 4p(x-h)
Circle General Equation
Ax² + Bxy + Cy² + Dx + F = 0
Circle Standard Equation
(x-h)² + (y-k)² = r²
Advanced Math
Sec
Csc
Cot
Law of cosine
H/A Opposite of cosine
H/O Opposite of sine
A/O Opposite of tangent
SAS, SSS
Sec
H/A Opposite of cosine
Csc
H/O Opposite of sine
12 terms
Advanced Math
More than one shape
Right rectangular Prism
Cube
Pyramid
A=1/2h(b+B)
V=lwh
V=S^3
V=1/3Bh
More than one shape
A=1/2h(b+B)
Right rectangular Prism
V=lwh
12 terms
advanced math
relation
function
domain
range
a set of ordered pairs
A relation in which each element of the domain is paired with…
the set of all abscissas of the ordered pairs of relations
the difference of the greatest and least values in a set of d…
relation
a set of ordered pairs
function
A relation in which each element of the domain is paired with…
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