Important Math Information

GRADE 6

Memorized items
multiplication facts (1 - 12)
Flashmania (see bottom of page)
whole place values to millions
decimal place values to thousandths

Measurement Equivalences
12 inches = 1 foot
3 feet = 1 yard
36 inches = 1 yard
5,280 feet = 1 mile
16 ounce = 1 pound
2,000 pounds = 1 ton
365 days = 1 year
52 weeks = 1 year
60 seconds = 1 minute
60 minutes = 1 hour

Abbreviations
in. for inch(es)
ft. for foot or feet
yd. for yard(s)
mi. for mile(s)
oz. for ounce(s)
lb. for pound(s)
yr. for year(s)
sec. for second(s)
min. for minute(s)
hr. for hour(s)

Vocabulary
sum (+)
difference (-)
product (x)
quotient (÷)
even
odd
is greater than (>)
is less than (<)

example
The sum of 3 and 8 is 11.
The difference of 11 and 8 is 3.
The product of 3 and 8 is 24.
The quotient of 24 divided by 8 is 3.
18 is divisible by 2 so it is called an even number.
19 is not divisible by 2 so it is called an odd number.
19 is greater than 18 (19 >18).
19 is less than 20 (19<20).

Skills
addition, subtraction, multiplication, and division of whole numbers

1,	2	3	4,	5	6	7	.	0	8	9
millions	hundred-thousands	ten-thousands	thousands	hundreds	tens	ones	decimal point	tenths	hundredths	thousandths

THE SUPER 40 FLASHAMANIA

GRADE 7 6th grade list plus:

Memorized items
prime numbers to 20 (2, 3, 5, 7, 11, 13, 17, 19)
powers of ten (10¹=10, 10² =100, 10³=1000, 10⁴= 10000, etc.)

Vocabulary	example
factor	example
factor	The factors of 8 are 1, 2, 4, and 8.
multiple	8 is a multiple of 2.
numerator	In the fraction 4/5, 4 is the numerator.
denominator	In the fraction 4/5, 5 is the denominator.
prime number	3 is a prime number because it has exactly two factors, 1 and 3.
composite number	8 is a composite number because it has more than 2 factors.
proper fraction	4/5 is a proper fraction because it is less than 1.
improper fraction	5/4 is an improper fraction because it is more than 1.
mixed number	1 1/4 is a mixed number.
divisible	24 is divisible by 8 because it equals 3 with no remainder.
compatible numbers	240 and 80 are compatible numbers because they work well together. (240 ÷ 80 =3
greatest common factor	The GCF of 8 and 20 is 4 because it is the largest number which is a
(GCF)	factor of both.
least common multiple	The LCM of 8 and 20 is 40 because it is the smallest number which is
(LCM)	a multiple of both.
common denominator	5/6 and 7/8 have a common denominator of 24. 5/6=20/24 and 7/8 = 21/24
reciprocal	The reciprocal of 5 is 1/5 because 5 x 1/5 =1.
exponent	In 5³, 3 is the exponent.
base	In 5³, 5 is the base.
power	5³ can be read “5 to the power of 3”; 3 is the power.
squared number	5² = 5 x 5 =25, thus 25 is a squared number.
cubed number	5³= 5 x 5 x 5 =125, thus 125 is a cubed number.
mean*	The mean is the average of a set of data. (*5.125)
median*	The median is the middle data value when the values are in sequential order.(*5.5)
mode*	The mode is the data value which occurs with the highest frequency.(*6)
range*	The range is the difference between the highest and the lowest values of a set of data.(*8)

*Using the set of data: 1,3,4,5,6,6,7,9

meter
liter
gram
perimeter
area

The basic unit of length in the metric system is the meter.
The basic unit of capacity in the metric system is the liter.
The basic unit of mass in the metric system is the gram.
The perimeter is the distance around the outside of a polygon.
Area is the measure, in square units, of an interior region.

Skills
addition, subtraction, multiplication, and division of decimals

GRADE 8 6th and 7th grades plus:

Memorized items
fraction, decimal, percent equivalents (see bottom of next page)

order of operations

( parentheses , exponents, multiplication and division in order as they
appear, addition and subtraction in order as they appear)

Vocabulary	Example
commutative property	18 + 72 = 72 + 18 and 2 x 12 x 5 = 2 x 5 x 12
associative property	(25 + 40) + 60 = 25 + (40 + 60) and (5 x 20) x 14 = 5 x (20 x 14)
distributive property	6 x 54 = 6 x (50 + 4)= (6 x 50) + (6 x 4)
percent (%)	A percent is a ratio which compares a value to 100.
whole number	0, 1, 2, 3, ... are the set of whole numbers.
integer	... -3, -2, -1, 0, 1, 2, 3, ... are the integers.
positive number	Numbers greater than zero are positive numbers.
negative numbers	Numbers less than zero are negative numbers.
opposite	Numbers which are the same distance from zero on a number line are called opposites.(ex.5 and -5)
expression	14+3, a+21, 5n, x+ y are examples of expressions.
equation	14 + 3 =17,5n = 40 are examples of equations.
variable	In the expression 5n, n is the variable. It stands in place of a number or numbers.

geometry terms
acute angle	an angle between 0 and 90 degrees.
obtuse angle	an angle between 90 and 180 degrees.
right angle	an angle which measures 90 degrees.
acute triangle	a triangle with 3 acute angles.
obtuse triangle	a triangle with 1 obtuse angle.
right triangle	a triangle with 1 right angle.
scalene triangle	a triangle with no congruent sides.
isosceles triangle	a triangle with 2 congruent sides.
equilateral triangle	a triangle with 3 congruent sides.
polygon	a plane figure made of 3 or more line segments connected at their endpoints.
triangle	a 3 sided polygon
quadrilateral	a 4 sided polygon
pentagon	a 5 sided polygon
hexagon	a 6 sided polygon
octagon	an 8 sided polygon
nonagon	a 9 sided polygon
decagon	a 10 sided polygon
surface area	the total area of the faces and curved surfaces of a solid figure
volume	the number of cubic units it takes to fill a solid figure

trapezoid	a quadrilateral with one pair of parallel sides

parallelogram	a quadrilateral with opposite sides parallel

rhombus	a parallelogram with 4 congruent sides

rectangle	a parallelogram with 4 right angles

square	a parallelogram with 4 congruent sides and 4 right angles

circle	a set of points equidistant from a given point (center)

radius	the distance from the center point to a point on the circle . AC is a radius.

diameter	AB is a diameter. It passes through the center point.

circumference	the distance around the outside of a circle.

Skills
addition, subtraction, multiplication, and division of fractions and mixed numbers

FRACTION	DECIMAL	PERCENT