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46 Cards in this Set
- Front
- Back
Properties of Addition
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Associative, Cummutative, identity, inverse
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associative property
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The order that numbers are grouped in addition does not matter.
3+(4+5)=(3+4)+5 |
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commutative property
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The order that numbers are added does not matter. 4+5=5+4
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identity property
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The sum of any number and 0 is the original number. 5+0=5
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inverse property
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any number plus its opposite is 0.
5+(-5)=0 -4+4=0 |
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Properties of multiplication
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associative, cummutative, identity, property of zero, inverse, distributive
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associative property of multiplication
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The order that numbers are grouped in multiplication does not matter.
2x(3x7)=(2x3)x7 |
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cummutative property of multiplication
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The order that numbers are multiplied does not matter.
5x6=6x5 |
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identity property of multiplication
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any number times 1 is the original number. 14x1=14
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Property of zero (multiplication)
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Any number times 0 is 0. 23x0=0
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adding terms with variables
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only terms that have the same variable with the same exponent can be added or subtracted together. 3x cannot be added to 2y
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multiplying variables with exponents
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1st multiply the coefficients, then add the exponents of the variables.
(3x²)(-2x³)=-6x⁶ |
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acute triangle
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all angles less then 90 degrees
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right triangle
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has an angle equal to 90 degrees
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obtuse triangle
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has an angle greater than 90 degrees
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isosceles triangle
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has two sides of equal length
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equilateral triangle
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all three sides are equal in length
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congruent
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two polygons (not just triangles) that are exactly the same size
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similar
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two polygons (not just triangles) that are the same shape, but different size (proportionally)
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pythagorean theorem
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in any right triangle the square of the hypotenuse is equal to the square of the 2 legs added together.
a²+b²=c² |
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area of a rectangle
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length x width
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area of a triangle
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1/2 base x height (expressed in unit squared)
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volume of rectangular prism
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length x width x height (expressed in units cubed)
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volume of a cylinder
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2πr²
r=radius |
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area of a circle
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πr²
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mean
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average number
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mode
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number that occurs most often (if there is not a number that occurs more than once, there is no mode; if can be two modes if more than one number occurs the same) number of times
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median
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the middle number (if there are two numbers in the middle, it is the average of these two numbers)
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range
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the largest number minus the smallest number
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whole numbers
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positive numbers that do not have any decimals or fractions (1,2,3,4,5,6....)
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Integers
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numbers, positive or negative, and do not have a fraction or decimal (...-3, -2, -1, 0, 1, 2, 3...)
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rational number
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any number that can be written as a fraction; all whole numbers and integers, as are decimals that either repeat or end. (.25, .5, -5, 1/13)
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real numbers
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any numbers that can be written on a number line. (includes whole numbers, integers, and rational numbers, all numbers we use in our everyday lives)
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simile
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A comparison of two objects using "like", "as", or "than"
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metaphor
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A comparison of two objects not using "like", "as", or "than"
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irony
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A contrast appearance, where intent and actual meaning differ.
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point of view
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How the literature is told, usually 1st person, 2nd person, or 3rd person
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First person
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A story told using "I" "we" or the equivalent
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second person
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A story told using "you"
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Third person
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A story told through using an all-knowing narrator. They know and see everything that goes on, and tell what they choose. (omniscient point of view)
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syntax
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The structure/arrangement of words in a sentence
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theme
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the main thought or idea of a work
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hyperbole
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purposeful exaggeration, not intended to be taken literally
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alliteration
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the repetition of similar sounds usually in the beginning of sentences
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onomatopoeia
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words that sounds reflect their meaning
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phonemes
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sounds the letter make
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