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Translating Mathematical Phrases

Translating Mathematical Phrases. Question. What does it mean to translate something? Explain in your own words on a sheet of paper. Be prepared to share your answer. Can you translate these words (or phrases)?. ROTFL <3 CYAL8R IMO NE1 MYOB ^5. 2EZ L8R AFK BTW NVM

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Translating Mathematical Phrases

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  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 • <3 • 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. ... . . / - .... .. ... / .. ... / -. --- - / ... --- / -... .- -.. .-.-.- -.-- --- ..- / .--- ..- ... - / -. . . -.. . -.. / - .... . / -.-. --- -.. . / - --- / - .-. .- -. ... .-.. .- - . .-.-.- What if you had additional info? Can you translate?

  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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