TAP MATH 1

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shockwave
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259901
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TAP MATH 1
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2014-02-26 15:12:57
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TAP MATH
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TAP MATH 1
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  1. DEFINE MEAN
    AVERAGED

    SUM THE NUMBER AND DIVIDE BY TOTAL OF NUMBERS. 

    • EX: 2,7, & 10.
    • 2 + 7 + 10 = 19
    • 19/3 = 6.33...THIS IS THE MEAN
  2. DEFINE MEDIAN
    MIDDLE NUMBER OF A SET. 

    PUT THE NUMBERS IN ORDER AND GO FOR THE MIDDLE NUMBER.

    IF  THERE IS AN EVEN AMOUNT OF NUMBERS, TAKE THE MEAN (AVERAGE) OF THE MIDDLE TWO NUMBERS TO FIND THE MEDIAN. 

    • EX: 3,1,4,8,13
    • 1,3,4,8,13
    • MEDIAN = 4

    • 8, 3, 44, 17, 12, 6 (EVEN)
    • 3, 6, 8, 12, 17, 44
    • Add the 2 middles numbers & divide by 2.
    • 8 +12 = 20 ÷ 2 = 10
    • The Median is 10.




  3. DEFINE MODE
    • THE VALUE THAT OCCURS MOST OFTEN.
    • (THINK MODE = MOST FREQUENTLY)

    The mode in a list of numbers refers to the list of numbers that occur most frequently.

    It is important to note that there can be more than one mode and if no number occurs more than once in the set, then there is no mode for that set of numbers.

    • EX:
    • 9, 3, 3, 44, 17 , 17, 44, 15, 15, 15, 27, 40, 8
    • IN ORDER THEY ARE:
    • 3, 3, 8, 9, 15, 15, 15, 17, 17, 27, 40, 44, 44.

    • The Mode is 15
    • (15 occurs the most at 3 times)
  4. DEFINE RANGE
    THE DIFFERENCE BETWEEN THE LARGEST AND SMALLEST NUMBER IN A SET.

    • EX: 1,19,3,4,5
    • 19 - 1 =18
    • 18 IS THE RANGE
  5. T OR F
    5, Z, 2X, 3Y + X 
    THESE ARE ALL EXPRESSIONS
    • TRUE. 
    • AN EXPRESSION IS A STATEMENT THAT USES NUMBERS AND/OR VARIABLES.
  6. DEFINE POLYNOMIAL
    • MATHEMATICAL EXPRESSION THAT ADD, SUBTRACTS, MULTIPLIES CONSTANTS AND VARIABLES. 
    • 3x
    • 6y2 - 3xyz + 7xy
    • 0.1xz - 200y + 0.5512v+ 99w
    • 5
    • (Yes, even "5" is a polynomial, one term is allowed, and it can even be just a constant!)

    • not polynomials:
    • 3xy-2 is not, because the exponent is "-2" (exponents can only be 0,1,2,...)

    2/(x+2) is not, because dividing by a variable is not allowed

    1/x is not either

    √x is not, because the exponent is "½" (see fractional exponents)
  7. AREA OF A CIRCLE FORMULA
  8. AREA OF A SECTOR OF A CIRCLE FORMULA
  9. CIRCUMFERENCE OF A CIRCLE FORMULA
    • REMEMBER THAT r = 1/2 OF D
    • OR ANOTHER WAY OF SAYING IT WOULD BE D=2r
  10. DEFINE/FIND LCM
    • 1. FIND THE PRIME NUMBERS OF EACH.
    • 2. WHAT IS THE LARGEST GROUP OF PRIME NUMBERS OF EACH. 
    • EX: 16 = 2 2 2 2 AND 18 = 2 3 3 
    • 3. 2 2 2 2 IS LARGEST, NOW 3 3
    • DO THIS FOR ALL PRIME NUMBERS USED. 
    • 4. MULTIPLY
    • EX: 2 2 2 2 3 3= 144 THE LCM OF 16 & 18.
  11. HOW YOU FIND LCM AND GCF ?
    • GCF= PRODUCT (*) OF CENTER
    • LCM= PRODUCT (*) OF ALL.

    • THE CENTER IS NUMBERS THAT APPEAR IN BOTH. 
  12. DEFINE IN WORDS WHAT IS GCF.
    GREATEST COMMON FACTOR

    The largest integer that divides EVENLY (without remainder) into a set of integers
  13. DEFINE IN WORDS LCF
    The smallest number that is a multiple of two or more numbers.

    EX: 225 = 5533  AND 270=25333

    • 5533
    • 25333

    • DO A VENN DIAGRAM AND PUT PAIRS IN CENTER. THE REMAINING PUT INTO ONE OF THE 2 CIRCLES. 
    • MULTIPLY ALL THE NUMBERS TOGETHER. 
    • NOTE: NOTICE THE PAIRS YOU ONLY USE ONE, BOT BOTH NUMBERS OF THE PAIR.
  14. 5 1/2 + 2 7/9 =?
    • 1. ADD WHOLE NUMBERS (5 +2=7)
    • 2. FIND COMMON DENOMATOR
    • (1/2 = 9/18 AND 7/9 = 14/18)

    NOTE THAT WHEN YOU ADD THE FRACTIONS YOU GET IMPROPER FRACTION (23/18). DIVIDE 23 BY 18 = 1 5/18. (5 BEING THE REMAINDER JUST PLACED BY ON TOP OF 18).

    • NOW ADD TO THE 7 AND THE ANSWER IS
    • 8 5/18
  15. 3 4/9 - 2 2/3 =?
    • 1. TURN INTO IMPROPER FRACTION. 
    • 3 4/9 = (9*3 +4= 31, THEN JUST PUT BACK OVER THE 9= 31/9). AND 2 2/3= 8/3. 

    • 2. FIND LCM 
    • 3. SUBTRACT AND ENJOY.

    • NOTE: IF YOU GET AN IMPROPER FRACTION, JUST TURN IT INTO A MIXED NUMBER!
  16. 2 1/3 * 4 1/5
    • 1. CONVERT INTO IMPROPER.
    • (2 1/3 = 7/3 AND 4 1/5 =21/5)

    • 2. MULTIPLY ACROSS. 
    • (7 * 21 / 3 *5) = 49/5 
    • (REDUCE THE 3 AND 21)

    • 3. CONVERT INTO MIXED NUMBER FOR ANSWER. 
    • (49/5 = 9 4/5)

  17. -5 2/5 / 3 1/2 = ?
    • 1. CONVERT IMPROPER
    • 2. RECIPROCATE
    • 3. CONVERT / TO *
    • 4. MULTIPLY ACROSS
    • 5. CONVERT INTO MIXED. 
  18. FORMULA FOR LENGTH OF AN ARC OF A CIRCLE?
    DEGREE OF ANGLE/ 360 X PREMETER. 

    • IF THE ASK FOR AREA:
    • DEGREE OF ANGLE/360 * PI r

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