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INEQUALITY RULES

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									                    INEQUALITY RULES
                       TO: REVELRY


              I don’t know but I’ve been told
           To solve inequalities you must be bold
              Use properties of equa-a-tions
          Then graph that sucker when you’re done
                         Inequalities
                          Equations
         Inequalities – equations, algebra… Oh yeah!



            To solve you undo what’s been done
             Be sure to treat both sides as one
         You can’t play favorites that’s not the rule
              Workin’ one side is not too cool
                          Both sides
                           Be cool
          Work both sides or you won’t… be cool!



        If it starts out positive then you subtract
       Include both sides or you might get whacked
               To undo division simply multiply
        Do it to both sides then let the answers fly
                      Do the opposite
                    Of what’s been done
   If you follow these hints then you’ll be… number one!



         To graph the solutions you must decide
         Do you shade in the circle or let it slide
           If the symbol has a line underneath
           You must shade it in or kiss my feet
                       Shade the circle
                          Let it slide
Shade the circle, let it slide. If you get this wrong… I’ll cry!



             There’s two rules of inequalities
           Not the same with equations, you see
            If multiply or divide by a negative
        You must flip the inequality so you can live
                           Multiply
                          Or divide
       Multiply – or divide – by a negative…flip signs!
         To graph greater than shade to the right
          If done the other way, I’ll die of fright
            The smaller numbers are on the left
              For less than, l – e – f – t is best
                       Greater – right
                       Less than – left
      Get this right to make a good grade…on the test!

           Combined inequalities are so much fun
         You put two on one graph then you’re done
         Conjunctions are joined by the word ‘and’
             ‘Or’ joins disjunctions, man oh man
                         Conjunctions
                         Disjunctions
      Conjunctions, disjunctions, ‘and’, ‘or’…get it right!

              If ‘and’ then graph numbers in between
                The outside numbers won’t be seen
                ‘Or’ graphs numbers left and right
             The in between numbers are out of sight
                           ‘And’ graphs in
                           ‘Or’ graphs out
‘And’ – in, ‘Or’ – out, get this right so there’ll be…NO DOUBT!!
                  POLYNOMIALS
          To the tune of: “Rock’n Robin”

        We sit in the classroom all day long,
       Now Mrs. Pugh makes us sing this song!
           About polynomials, whoopee,
             All I know is tri means 3!

        Polynomials, sweet – sweet- sweet.
         Polynomials, neat – really – neat!
  Oh polynomials, we’re really gonna work tonight!

          Tri means 3 terms, Bi means 2,
         Mono means 1, so what do you do?
       To find the degree look at each term.
       Count exponents now don’t you squirm!

        Polynomials, sweet – sweet- sweet.
         Polynomials, neat – really – neat!
  Oh polynomials, we’re really gonna work tonight!

 There’s not that many laws if you’ll just learn them.
  Without these laws your future sure looks grim.
         Anything to zero is replaced with 1.
If the exponent’s negative we’ll turn around and run!!

      ***You use these laws when they apply.
         Add exponents when you multiply.
         A power to a power is really cool,
       Multiply those cause that’s the rule!

        Polynomials, sweet – sweet- sweet.
         Polynomials, neat – really – neat!
  Oh polynomials, we’re really gonna work tonight!

   If division is the problem, then learn the law.
        Subtract exponents without a flaw.
     When you add like terms, don’t hesitate.
    Leave exponents alone and you’ll do great!!

                    *** REPEAT

        Polynomials, sweet – sweet- sweet.
         Polynomials, neat – really – neat!
  Oh polynomials, we’re really gonna work tonight!
               Y = MX + B
          To the tune of: YMCA

  Young man, there’s no need for this frown.
I said, young man, turn that frown upside down.
         Oh yes, young man, y = mx + b.
        So no need – to – be – un- happy.

       Young man, this equation is true.
  I said, young man, it will work out for you.
This means you can always graph a straight line.
     If you’ll just – keep – this - in - mind.

            It’s always y = mx + b!
           Oh yes, it’s y = mx + b!
         m’s used to represent slope,
             b’s the y – intercept.
         It’s so easy, as you can see!

            Remember, y = mx + b!
            Oh yes, it’s y = mx + b!
         m’s used to represent slope,
             b’s the y – intercept.
             It’s as easy as a, b, c

      Young man, just begin with the ‘b’.
      I said, it’s on the y – axis, you see.
     But what if - the ‘b’ cannot be found.
      Then the OR – I – GIN is the key.

     Then find the number beside the ‘x’.
    It tells you where you should go next.
    This number is the slope, you can see.
          It’s as important as the ‘b’,

          Now you know y = mx + b!
           Oh yes, it’s y = mx + b!
          m’s the slope, you can see.
            The y – intercept’s ‘b’.
            It’s as easy as a, b, c.

          You know that y = mx + b!
           Oh yes, it’s y = mx + b!
          m’s the slope, you can see.
            The y – intercept’s ‘b’.
            It’s as easy as a, b, c.
    Young man, slope means rise over run.
 And yes, that means put ‘m’ in fraction form.
  So far, no one has done better than you.
   Now the whole – world – is – so – proud!

  With slope, you need to check out the sign.
 I said young man, positive slopes always rise.
And yes, its true, negative slopes take the fall.
    To the bot – tom - right – each – time.

          Now you know y = mx + b!
           Oh yes, it’s y = mx + b!
          m’s the slope, you can see.
            The y – intercept’s ‘b’.
            It’s as easy as a, b, c.

             C’mon its y = mx + b
           You know its y = mx + b
          m’s the slope, you can see.
            The y – intercept’s ‘b’.
            It’s as easy as a, b, c.
  PYTHAGOREAN THEOREM
To the tune of: “Surfin’ USA”

   If everybody had a notion
       About Pythagoras.
   Then everybody’d be using
      His theorem, oh yes!

  It’s for right triangles only,
       Nothing else will do.
 It’s used to find the legs, now
   And the hypotenuse, too!!

   It’s used in the classroom,
    And outside school, too!
      All over the country,
        It’s a handy tool.

When you’re missin’ a side length,
      Just use this rule:
   A squared plus B squared
   Equals c squared, dude!

   C is called the hypotenuse,
  Across from 90, that’s right!
      Just use Pythagoras,
        He’s out-of-sight!!

   It’s used in the classroom,
   And outside of school, too!
      All over the country,
        It’s a handy tool.

When you’re missin’ a side length,
      Just use this rule.
   A squared plus B squared
    Equals C squared, dude!

    A squared plus B squared
     Equals C squared, dude!
            AREA OF POLYGONS
     To the tune of: “Give a Dog a Bone”

        My geometry teacher is no fool,
     She knows I need to learn these rules,
          About the area of polygons.
         Here we go with number one.

    The area of a square is base times height
               But please beware.
     The base and height are both the same
       Squaring is the name of the game.

       Rectangles and parallelograms, too,
          Are basically the same to do.
     Its base times height but I’ll confide,
    In a parallelogram height is not the side.

           Triangles are half of these,
     Its base time height over two, you see.
      If height’s not known then be a Hero!
            Use his formula, then go!

         A Rhombus is a leaning square
        But their areas do not compare.
       You multiply diagonals one and two,
      Then take half and you’ll be through!

         We saved the best for the last.
      If we get a trapezoid we’ll surely pass.
It’s one-half height times base one plus base two.
        Oh my gosh! I think we’re through!

               Areas are sorta fun,
         I’m kinda sad that we are done.
   I learned this song so please give me an ‘A’,
          It would surely make my day!!
               LAWS OF EXPONENTS
To the tune of: “The One That I Want” from Grease

        Don’t get chills from workin’ exponents,
              You can always be in control.
         And the power that fact gives you –
                    It’s electrifying!

        You better shape up, you now have a plan,
                All exponents you can do.
      You better shape up, you need to understand,
Learn these rules then pick and choose – pick and choose.

                The rule that you want.
                  Oo – oo – oo Honey,
                The rule that you want.
                  Oo –oo – oo Honey,
                The rule that you want.
             Oo – oo – oo the rule you need
                    Oh yes, indeed!

         When multiplying, you add exponents.
            When dividing, you subtract.
           If the power ends up negative,
               ……. R e c i p r o c a t e!

       You better learn this, a power to a power –
                 To satisfy you multiply.
         If the power is ‘0’, then the answer’s 1.
      From this rule you cannot hide – cannot hide.

                     To multiply –
                     You will add.
                      To divide –
                     You subtract.
               Power to power – multiply.
             Zero exponent – gives you one!

             Choose the rule that you want.
                  Oo – oo – oo Honey,
                The rule that you want.
                  Oo –oo – oo Honey,
                The rule that you want.
             Oo – oo – oo the rule you need
                    Oh yes, indeed!
            RECTANGLES AND SQUARES
           To the tune of: “Splish, Splash”

           Splish, splash, I was takin’ a bath,
            Thinkin’ how rectangles are tight.
          Rub – a – dub I was soakin’ in the tub,
            Knowin’ all four angles are right.

 I stepped out on the rug – wrapped my towel around.
  The next thing that I knew – I was Algebra bound.
   We’re studying rectangles and all of their parts,
 But how was I to know rectangles are the way to go?

                They have parallel sides,
                   Opposites the same.
               If all four sides are equal –
                Well, it’s not a new game.

    It’s still a rectangle – but its special that’s true.
         It becomes a square so what do you do?

                Oh my, it has diagonals.
              With these vertices connect.
               They are equal in length.
             That fact really has an effect.

               They bisect each other –
              Four triangles are formed.
              If the rectangle’s square –
             Congruent triangle’s the norm.

   If it’s just a rectangle – then the triangles made
Are isosceles which mean two sides are always the same.

                 We have parallel sides,
                  Opposites the same.
                  Congruent diagonals,
                   Triangles by name.

           Rectangles – that’s what they are.
        Rectangles and squares will take you far.

                 We have parallel sides,
                  Opposites the same.
                  Congruent diagonals,
                   Triangles by name.
                  PROPORTIONS
         To the tune of: “Johnny Be Goode”

      Way down in Sylacauga in a classroom there
They’ve got the brightest students, no one can compare.
      And if you go there you better just beware
        Proportions they can do without a care.
   Proportions can be trouble, they are ratios – two.
Set them equal to each other, then show us what to do.

               Go, go, go students go!
                 Go, go students go!
             Work, work students work!
             Work, work students work!
           Students, show what you can do!

These kids are problem solvers, yes they know they can.
      To cross-multiply is a big part of their plan.
         Division is the next step in finding ‘x’.
     That’s the proportion rule so don’t be vexed.
   Proportions can be trouble, they are ratios – two.
Set them equal to each other, then show us what to do.

               Go, go, go students go!
                 Go, go students go!
             Work, work students work!
             Work, work students work!
           Students, show what you can do!

             Proportions, they are ratios
           You set them equal to each other
             You multiply and then divide
                Then bring it on home!

          That’s the famous proportion rule,
          Oh yes, the famous proportion rule.

  Proportions can be trouble, they are ratios – two.
Set them equal to each other, then show us what to do.
                  FRACTIONS
        To the tune of: “Jailhouse Rock”

     It’s going to be fun in Math class today,
    We’re workin’ on fractions, what can I say.
    The rules are simple if you take the time,
      To learn those suckers, you’ll do fine!
         Let’s rock, everybody, let’s rock.
     Every student during this _____ block
      Will be dancin’ to the Math class rock.

      The numerator is the top, can’t you see.
       The bottom is denominator, glory be!
You need a common denominator to add or subtract.
           This is a basic fraction fact!
         Let’s rock, everybody, let’s rock.
      Every student during this _____ block
      Will be dancin’ to the Math class rock.

       Multiplying fractions is really cool.
   Numerator times numerator’s the first rule.
      Multiplying denominators’ oh so fun.
      Reduce all answers when you’re done.
        Let’s rock, everybody, let’s rock.
     Every student during this _____ block
     Will be dancin’ to the Math class rock.

      To divide fractions here’s what you do,
       You invert the fraction number two.
        Once you’ve flipped then multiply,
      Top times top – then bottoms likewise!
         Let’s rock, everybody, let’s rock.
      Every student during this _____ block
      Will be dancin’ to the Math class rock.

      There’s one last rule that you must do,
    Reduce all answers before you’re through.
  Divide top and bottom by a number: the same.
  When you’re done you’ve mastered the game.
         Let’s rock, everybody, let’s rock.
      Every student during this _____ block
      Will be dancin’ to the Math class rock.

      Every student during this _____ block
      Will be dancin’ to the Math class rock.

								
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