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OAT 6th Zimmerman
OAT 6th Zimmerman Formulas and words to know
Question | Answer |
---|---|
Integers | whole numbers and their opposites (includes the entire # line of positives and negatives) |
Real numbers | numbers that make up the set of all rational numbers and irrational numbers |
Rational numbers | can be expressed as fractions in the form a/b where a and b are intergers and b can not = 0 and includes whole numbers, mixed numbers, improper fractions, integers, terminating and repeating decimals |
Whole numbers | 0, 1, 2, 3 etc. |
mixed numbers | number and a fraction |
improper fraction | a/b where a > b ex. 54/8 |
irrational numbers | set of non repeating, nonterminating decimals |
natural numbers | 1, 2, 3 etc. |
negative numbers | less than 0 |
positive numbers | greater than 0 |
Commutative Property | When two numbers are added or multiplied, the sum is the same regardless of the order Example: ab = ba or a + b = b + a |
Area of a Rectangle and Square | A = lw |
Area of a Parallelogram | A = bh |
Area of a Triangle | A = 1/2bh |
Circumference | C = 2πr |
Area of a Circle | A = πr^2 |
Volume of a Cube and Rectangular Prism | V = lwh |
Surface area of a Cube and Rectangular Prism | SA = 2lw + 2hw + 2whORSA = 2(lw + hw + hl) |
Surface area of a Cylinder | SA = 2πr^2 + 2πrh |
Volume of a Cylinder | V = πr^2h |
translation | sliding a figure along a line |
rotation | turns a figure around a point |
reflection | movement of a figure across a line creating a mirror image |
dilation | is a transformation that changes the size of a figure by a scale factor to creat a similar figure |
reduction | divison/smaller |
enlargement | multiplicaion/bigger |
face | flat side of a solid figure |
edge | a line segment where 2 faces of a solid figure meet |
vertex | a common point where 3 or more edges meet |
Associative properties | grouping addends or factors does not change the sum or productExample: a(bc) = (ab)ca + (b + c) = (a + b) + c |
Distributive property | can be used over addition and subtraction to simplify expressionsExample a(b + c) = ab + aca(b - c) = ab - ac |
Like terms | two or more terms that contain the same variable; can only be combined if they look the same |
Terms | can be considered a constant, variable or variable and a coeffienent |
Constant | a number that does not changeEx: 2 |
Variable | a value that is represented by a letter and can change. |
Coeffiencent | the factor of the variable4x = x + x + x + x |
Central Tendency | Mean, Median, Mode, Range |
Mean | all numbers in a set added then divided by the amount of numbers in that set |
Median | middle number of the arranged set (when ordered in highest to lowest or lowest to highest) if it is an even amount of numbers add the 2 middle numbers and divide by 2 |
mode | the number that occurs most often |
range | difference between the greatest and least numbers in a data set |
Probability | the chance that an event wil happen.number of favorable outcomes/ number of possible outcomes; will range form 0 - 1 |
Certain event | 100% or 1 probability |
Impossible event | cannot not happen 0 or 0% of probability |
Theoretical probability | probability that an event will occurnumber of favorable outcomes/number of possible outcomes |