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