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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
- lt3
- CYAL8R
- IMO
- NE1
- MYOB
- 5

- 2EZ
- L8R
- AFK
- BTW
- NVM
- ORLY
- TMI
- TTYL

Question?

- Why were you able to (or unable to) translate the

SMS words and phrases on the previous slide?

Can you translate?

- What if you had additional info?

- ... . . / - .... .. ... / .. ... / -. --- - /

... --- / -... .- -.. .-.-.- - -.-- --- ..- / .--- ..- ... - / -. . . -.. . -..

/ - .... . / -.-. --- -.. . / - --- / - .-. .- -.

... .-.. .- - . .-.-.-

Question?

- Why were you unable to decode the messages on the

previous slide at first?

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.

Types of Math Language

- There are four main types of Math Language
- Expressions
- Equations
- Inequalities
- Word Problems

The Alphabet Code Words and Operations

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

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

Try to translate the following

- Twelve more than a number.
- 5 less than a number.
- 3 times a number .
- A number divided by 12

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

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.

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.

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

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!

Practice

- Translate each of these equations into a

sentence. - 8 6 2
- -5 34 29
- 45/5 9
- -3 4 -12

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?

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.

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

- 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.

- 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.

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.

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

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.

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