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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  hundredthousands  tenthousands  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 (10^{1}=10, 10^{2} =100, 10^{3}=1000, 10^{4}= 10000, etc.)
Vocabulary  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 5^{3}, 3 is the exponent. 
base  In 5^{3}, 5 is the base. 
power  5^{3} can be read “5 to the power of 3”; 3 is the power. 
squared number  5^{2} = 5 x 5 =25, thus 25 is a squared number. 
cubed number  5^{3}= 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 
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