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Translating Mathematical Phrases

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Title: Translating Mathematical Phrases


1
Translating Mathematical Phrases
2
Question
  • What does it mean to translate something?
    Explain in your own words on a sheet of paper.
    Be prepared to share your answer

3
Can you translate these words (or phrases)?
  • ROTFL
  • lt3
  • CYAL8R
  • IMO
  • NE1
  • MYOB
  • 5
  • 2EZ
  • L8R
  • AFK
  • BTW
  • NVM
  • ORLY
  • TMI
  • TTYL

4
Question?
  • Why were you able to (or unable to) translate the
    SMS words and phrases on the previous slide?

5
Can you translate?
  • What if you had additional info?
  • ... . . / - .... .. ... / .. ... / -. --- - /
    ... --- / -... .- -.. .-.-.-
  • -.-- --- ..- / .--- ..- ... - / -. . . -.. . -..
    / - .... . / -.-. --- -.. . / - --- / - .-. .- -.
    ... .-.. .- - . .-.-.-

6
Question?
  • Why were you unable to decode the messages on the
    previous slide at first?

7
Math
  • Mathematical language is no different than SMS
    messages or morse code.
  • You have to learn the alphabet, vocabulary, and
    structure of the language before you can be
    fluent.

8
Types of Math Language
  • There are four main types of Math Language
  • Expressions
  • Equations
  • Inequalities
  • Word Problems

9
The Alphabet Code Words and Operations
10
It all starts with expressions
  • Expressions are open ended thoughts.
  • Things that are blurted out without necessarily
    creating a complete sentence
  • Examples Hello Goodbye Watch out

11
Mathematical Expressions
  • Mathematical expressions are also open ended
    thoughts
  • This means they lack the closure of an equal sign
  • Lots of numbers may satisfy some expressions,
    which often leads to the use of a variable
  • Variable Clues some number, a number, any
    number

12
Try to translate the following
  • Twelve more than a number.
  • 5 less than a number.
  • 3 times a number .
  • A number divided by 12

13
Lets try some harder expressions
  • The square of k decreased by 7
  • Four times 2 plus 7
  • 5 times the sum of a number and 2
  • A number divided into 5 equal parts

14
Again
  • The difference of -4 and a number decreased by
    ten
  • 14 more than twice a number g
  • Three-fifths of r cubed
  • Triple the sum of 19 and a number minus the
    product of that same number and 6.

15
Translating Equations
  • Equations
  • Equations are the step up from an expression.
  • In an equation, a complete mathematical thought
    is presented that leads to just one answer.
  • Much like a sentence, this complete thought
    requires punctuation
  • An equal sign is used in an equation to complete
    the mathematical sentence and direct you to your
    answer.

16
What to look for?
  • When translating an equation
  • You need to be aware of an additional set of
    code words that tell you to use the equal sign
  • The main word to look for is the word IS
  • Practice reading a simple number sentence and you
    will notice the natural tendency to say the word
    IS in place of the equal sign
  • 4 3 7
  • Four plus three IS seven

17
Additional Code Words
  • Some of the other code words that tell you to use
    an equal sign include
  • Are
  • Was
  • Were
  • Will Be
  • Gives
  • Yields
  • Sold For

And of course EQUALS!
18
Practice
  • Translate each of these equations into a
    sentence.
  • 8 6 2
  • -5 34 29
  • 45/5 9
  • -3 4 -12

19
What about this one?
  • Translate the sentence into an algebraic
    equation.
  • The number of girls in the class plus the number
    of boys in the class equals the number of
    students in the class
  • What makes this problem more challenging?

20
Now you try on your own
  • Translate each problem into an algebraic equation
    and then solve that equation.
  • Five more than a number is eight.
  • Two times a number is ten.

21
  • Six less than a number is twenty-four.
  • A number divided by five is ten.
  • The sum of nine and a number is fourteen.

22
  • Nine subtracted from the quotient of a number and
    three is twenty-one.
  • The difference of seven and three times a number
    is ten.
  • One-half of a number added to seven is eleven.

23
  • Two less than the quotient of a number and five
    is one.
  • The product of three and the sum of number and
    two is zero.

24
Christmas Carol Assignment
  • You are going to write your own version of the 12
    days of Christmas using equations to replace the
    numbers in the original song.
  • Example On the first day of Christmas, my true
    love gave to me x 5 -4 partridges in a pear
    tree
  • X would equal 1 and the first day of Christmas
    has one gift in the carol.

25
Conditions
  • You must write an equation for each of the 12
    days and the answer to the equation must match
    that day of Christmas
  • You may change the my true love gave to me part
    to anyone that you would like to receive gifts
    from
  • You may change the names of the gifts to anything
    school appropriate that you would like to receive

26
Requirements
  • Your equations must equal the correct number for
    the day.
  • You will present your final carol on a sheet of
    the large construction paper (front only). Be
    sure to give yourself space. You DO NOT have to
    repeat the previous days as you advance.
  • You must decorate your carol on the final copy
    with pictures (to represent the gifts) and
    colored outlining.

27
Equation Requirements
  • In your 12 days equations you must include
  • An equation that uses a square root
  • An equation that uses squaring a number
  • An equation that uses parenthesis
  • At least 3 two step equations
  • A minimum of two equations for each of the four
    main operations (, -, x, )
  • At least 3 equations that use negative numbers
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