Numbers that are divisible by 2 such as -4, -2, 0, 2, 4, 6, 8, ....
What are odd numbers?
Integers that are not divisible by 2 such as -3, -1, 1, 3, 5, 7, ......
What are consecutive integers?
Integers in sequence such as 3, 4,5, or -1, 0, 1; they can be represented in general as n, n+1, n+2, (where n is any integer)
What are real numbers?
All numbers, including fractions, decimals, etc; that correspond to points on the number line
What is a factor?
A divisor of an integer, for example 1, 3, 5, and 15 are factors of 15, but 2 is not a factor of 15. Note that -1, -3, -5 and -15 are also factors of 15. ANY integer can be a factor of zero, but zero is a factor of a nonzero integer.
Multiples of an integer n
The product of an integer n and another integer; some multiples of 4 are -8, -4, 0, 4, 8, 12, and 16. Note that 2 is a factor of 4 but is not a multiple of 4. Zero is a multiple of any integer.
What is a prime number?
A positive integer that has exactly 2 diff positive factors; 1 and itself; for example 2,3,5,7, 13 are all prime numbers
What is a reciprocal?
The inverse of a number, that is; one of a pair of numbers whose product is 1; the reciprocal of 5 is 1/5; the reciprocal of 2/3 is 3/2.
What is an exponent?
A superscripted number that indicates the number of times to multiply the number by itself for example 3^{4 }indicates 3x3x3x3
What is a number squared?
A number multiplied by itself such as 5^{2} or 5x5=25
What is a number cubed?
A number multiple 3 times by itself such as 5^{3} is 5x5x5=125
What is the square root of a number?
A positive number that when squared produces the given number. The square root of a number n is square root of n. The square root of square root sign then 2 is 1.4.
What is a fraction?
A number in the form a/b, where number "a" is called the numerator and "b" is the denominator. If the numerator is larger than the denominator, it is an improper fraction.
What is an integer?
Integers consist of counting numbers and the negative of the counting numbers such as -4, -3, -2, -1, 0, 1,2, 3, 4, 5, etc.
What do number properties include?
knowledge of factors and multiples, primes and divisibility, even and odd numbers, and properties of zero and one
what do operation properties include?
knowledge of the commutative, associative and distributive principles
What does computation include?
finding the solution to applied problems, determining information needed, and interpreting and adjusting results of computations
Define variable..
A letter, such as x or n, that is used to represent an unknown quantity
Define equation
A statement of equality between two algebraic expressions; for example, 2n-4=10 is a linear equation
Define sequence
an ordered list of numbers, for example 2, 5, 8, and 11, . . . , Note that in this example the first term is 2 and that each term after the first is 3 greater than the preceding term.
Define counterexample
an example that would contradict and example or a claim
strategies for word problems
1.) Decide the info you have and the info you don't
2.) substitute a variable for the unknown quantity
3.) write an equation to express the relationship in given in the problem and solve
meter is same as
length
gram is the same as
mass
liter is the same as
volume
degree Celsius means
temperature
12 inches =
one foot
3 feet =
1 yard
5, 280 feet =
1 mile
1,760 yards =
1 mile
16 ounces =
1 pound
2,000 pounds =
1 short ton
8 fluid ounces =
1 cup
2 cups =
1 pint
2 pints =
1 quart
4 quarts =
1 gallon
name units of linear measure used for length width and heigth
inches, feet, miles, meters, kilometers
units of linear measure also measure
distance
distance can be measured....
along a path, highway or sidewalk
distance can be measured
in a straight line such as point A to point B
when labeling x and y coordinates which comes first?
(x, y)
formula for a rectangle
A=lw
all squares are rectangles.. true or false
true
are all rectangles , squares? true or false
false
what does the symbol ll mean?
parallel to
what does line mean?
a straight line that stretches to infinity in both directions
what is a line segment
a line segment has two endpoints
p q
---------------------------------
define parallel lines
these are two lines in the same plane that do not connect
what are perpendicular lines
two lines that intersect to form four angles of equal measure with each angle equaling 90 degrees
define ray
a ray has one endpoint and extends to infinity on the other end
define an angle
an angle is created two lines, rays, or segments
what is the point where two lines intersect is called the
vertex
when two lines, rays, or segments intersect the opposite angles
have equal measure
a straight angle measure ....... and is represented by ..........
180 degrees,,, straight line
a 90 degree angle is called a ....... angle
right angle
an angle that is less than 90 degrees is called
an acute angle
a angle that is more than 90 degrees is called
an obtuse angle
two angles whose angles measure 90 degrees are called
complimentary angles
two angles whose measures total 180 degrees are called
supplementary angles
the sum of the measures of all the angles in a triangle is
180 degrees
equilateral triangles have
3 equal sides, making each angle 60 degrees
isosceles triangles have
2 equal sides and having two angles of equal measure
right triangles have a
90 degree angle and the side opposite the right angle is called the hypotenuse. The other 2 sides are called legs
Define ratio
a comparison of two or more quantities; for example, if there are 20 women and 15 men in the classroom, the ratio of the number of women to the number of men is 20 to 15 or 20:15 or 20/15
what is a proportion?
a statement of equality between two ratios; for example in the previous question 20 women to 15 men in the classroom, if another classroom had 3 women to 4 men, you would say 20:15=4:3
if a student takes 2 days to read 1 book, how long does it take the student to read 5 books at the same rate? How would you express this?
2/1=x/5 cross multiply answer is 10
what is associative grouping
(a+b) +c= a +(b+c)
(axb) x c= a x (bxc)
what is using commutative order
a+b=b+c
axb=bxc
how do you use the distributive operation property
ax(b+c)=(axb)x(axc)
2x=4y+6
x=4y+3
2x-4y=6
2x+1=4y+7
2x-2=4y+4
A=
A=bh
What is the Pythagorean Theory
a^{2}+b^{2}=c^{2}
area of a triangle is
A=1/2 bh
the area of a rectangle or square is
A=lw
the diameter of a circle
d=2r (find diameter equals 2 times the radius)
what is the value of
3.14 or 22/7
circumference equals
pie times diameter or pie times 2 times r (radius)
area of circle is area equals
A = pie r^{2}
volume equals
V=lwh
distance =
distance =speed x time
time =
time = distance divided by speed
speed =
speed = distance over time
find average 2, 10, 7, 3, 3
2+10+7+3+3 over 5 because there is five numbers
what is median 2, 10, 7, 3, 3
3
what is range 2, 10, 7, 3, 3
the range is eight because the largest number is 10 and 2 is the least number and 10-2=8