Kemper 8th grade Vocab
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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Mean | Average of a set of Data. Add all the numbers up and divide by the amount of numbers.
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Mode | The number that appears MOST often.
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Median | The number in the MIDDLE of a set when the set is in numerical order. If there are 2 middle numbers add the 2 and divide by 2.
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Range | The DIFFERNCE (subtract) between the biggest and smallest number
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Perimeter | The distance around an object. (ADD up all of the sides.)Label units.
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Area | The measure of the region INSIDE a two dimensional object. Label units squared (2)
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Surface Area | The measure of all faces in a three dimensional object. Label units squared (2)
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Volume | The amount of space inside a three dimensional object. Label units cubed (3)
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Area of a square/rectangle | Length times Width.
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Area of a triangle. | 1/2 bh or bh/2
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Area of a cirlce | pi time radius squared (Πr2)
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Volume of a cube/rectangle prism. | V = BH (B=area of the base) or just do L*W*H
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Volume of a cylinder. | V = BH which is Πr2h (2 = squared)
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Volume of a Triangular Prism | V = BH which is 1/2bh(H) H = height of rectangle
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Volume of a Cone | V = 1/3BH which is 1/3Πr2h (2 = squared)
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Volume of a Pyramid | V = 1/3BH Depends on the base!
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Volume of a Sphere | V = 4/3Πr3 (3 = cubed)
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Surface Area of a Cube | SA = S * S * 6
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Sufrace Area of a Rectangular Prism | SA = L*W*2 + L*H*2 + W*H*2
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Surface Area of a Triangluar Prism | SA = 1/2bh*2 (triangles) + L*W (for all 3 rectangles - do each rectangle by itself)
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Surface Area of a Square Pyramid | SA = L*W (base) + 1/2bh4 (faces)
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Surface Area of a Cylinder | SA = 2Πr2 + 2Πrh
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Order of Operations | PEMDAS "Please Excuse My Dear Aunt Sally)Parenthesis, Exponents, (Multiplication or Division - Left to right), (Addition or Subtraction - left to right)
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Square Root | A number that when multiplied by itself gives a given number. Ex: Square root of 9 is 3 (3x3=9)
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How to Solve Equations | UNDO the Order of operations.
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Like terms | Terms that have the same variable to the same exponent. Ex; 3x + 12x is the same as 15x. But 3x + 15y can't be combined
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Distributive Property | Take the value outside the parenthesis and multiply it by EVERYTHING on the inside.
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Proportion | An equation with 2 ratios. Cross multiply to solve.
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Percent Proportion | IS/OF = %/100 Cross multiply to solve.
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Natural Numbers | 1,2,3,.... The numbers we COUNT by.
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Whole Numbers | 0,1,2,3... Natural number and 0
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Integers | Whole numbers and there opposites. ... -2,-1,0,1,2,3...
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Rational numbers | They EITHER STOP (2, .635, .1, 100) or REPEAT (1/3 = .333333...)Every fraction goes here.
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Irrational numbers | Never stop or repeat Ex: pi
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Scientific Notation | A method of writing or displaying numbers in terms of a decimal number between 1 and 10 multiplied by a power of 10. The scientific notation of 10,492, for example, is 1.0492 × 10^4 positive exponent = bigger than 1, negative exponent = smaller than one
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Fraction to Decimal | Divide numerator (top) by denominator (bottom)EX: 2/5 = 2 divded by 5 = .4
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Fraction to Percent | Divide numerator by denominator and multiply by 100 or just move the decimal 2 places right. 2/5 = .4 = 40%
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Percent to Decimal | Move decimal two places left. EX 5% is .05
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Percent to Fraction | Put the Percent over 100 and reduce. Ex: 50% = 50/100 = 1/2
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Decimal to Percent | Move decimal two places right. Ex: .045 = 4.5%
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Decimal to fraction | Move the decimal the amount of spaces needed to make it a whole number (no decimal) and put it over a 1 with as many zeroes as you moved spaces. Ex: .24 (move 2 places) 24/100 = 6/25
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Substitution | Taking a value and plugging it in for a variable.
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Variable | A letter/symbol that takes the place of a number.
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How to find an Interior Angle | 3 sided figures = 180 degrees, 4 sided figures = 360. Just add 180 degress for each side above this and then subtract the angles you have from the total.
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Unit rate | A ratio with the denominator being 1. Ex: 10 apples cost $2.00 so 10/2.00 reduces to 1 apple/.20 cents.
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Sales Tax | The amount of money ADDED to the total. Ex: 6% tax on $50.06 * 50 = 3 Tax is 3 dollars. Add 3 to 50 to get a total of $53
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Discount | The amount of money SUBTRACTED from the price/cost. Always done before tax.Ex: 6% tax on $50.06 * 50 = 3 Discount is 3 dollars. Subtract 3 from 50 to get a total of $47
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Coordinate Plane | Coordinate Plane is a plane formed by the intersection of a horizontal number line with a vertical number line.
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Origin | Where the x-axis and y-axis intersect (0,0)
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Coordinate Point | A point on the graph (X,Y) +X move right, -X move left. +Y move up, -Y move down.
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X-Axis | The horizontal line (left-right)
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Y-Axis | The vertical line (up-down)
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Quadrants | The 4 areas on the graph, labeled with roman numberals I is in the top right and you move counter clockwise.
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Slope | The steepness of a line. Rise over Run. Count from one point to another. Go up first(positive), and then Right (positive)or Left(Negative) reduce fraction.
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Slope Formula | y-y/x-x Take the y-value from on point and subtract the other. Then take the x-value from the first point you used and subtract the other x. Then reduce your fraction.
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Slope Intercept Form | Y=mx+b m=slope, b= y-interceptPlot y-intercpt first and then use slope to get the second point.
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Parallel lines | Have the same slope.
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Perpendicular Lines | Have opposite reciprocal slopes. Ex; 1/4 and -4/1
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Translation | To SLIDE a figure. ADD the x to the x points and y to the y points.
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Reflection | To FLIP over an axis. If you reflect over the x-axis you keep the x value and change the y to the opposite. If you flip over the y-axis you keep the y-value and change the x to the opposite sign.
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Rotation | To Rotate an object around the origin. 90 degree counterclockwise - flip the x and y and change the sign of the new x180 degree rotation - change the sign of x and y.
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Dilation | To enlarge or reduce the size of an object. Multiply the dilation by the x and y to get the new points.
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Similar Figures | Same shape but different size.
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Congruent Figures | Same shape and size.
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Theoretical Probability | What the outcome should be based on the odds.Ex: If you flip a coin 10 times, how many heads should you get? 5/10
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Experimental Probability | What you acutally get after doing the experiment.
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Pythagorean Theorem | A squared + B squared = C squaredA,B are legs and C is the hypotenuse
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Hypotenuse | Side opposite the right angle; longest side of a right triangle.
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Arithmetic Sequence | Common difference between terms (Add/subtract same number) Ex. 2,4,6,8... (+ 2)
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Geometric Sequence | Common ratio between terms (multiply same number)Ex. 16, 4, 1, 1/4.... (X by 1/4)
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Ratio | Comparison Between two or more things. Write as a fraction.
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Created by:
kemper.paul
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