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WRITI N G EQUAT I ONS W IT H VARIAB LES! MS. DIEHL / OCTOB ER 6, 20 11
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WRITING EQUATIONS WITH VARIABLES! MS. DIEHL / OCTOBER 6, 2011.

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Page 1: WRITING EQUATIONS WITH VARIABLES! MS. DIEHL / OCTOBER 6, 2011.

WRIT

ING

EQUATIO

NS WIT

H

VARIA

BLES!

MS .

DI E

HL /

OCTO

BER 6,

2011

Page 2: WRITING EQUATIONS WITH VARIABLES! MS. DIEHL / OCTOBER 6, 2011.

DO NOWHW OUT ON YOUR DESK!

5.5(x) + 2(y) when x = 3 and y =

2.15(g) – 2 when g = 5

12r x 8b when r= and b=3

2

1

4

1

Page 3: WRITING EQUATIONS WITH VARIABLES! MS. DIEHL / OCTOBER 6, 2011.

HW

CHECK!

Page 4: WRITING EQUATIONS WITH VARIABLES! MS. DIEHL / OCTOBER 6, 2011.

ACTIVITY

On your DO NOW sheet draw a chart that looks like the following:

# Expression

Letter/Answer Match

Page 5: WRITING EQUATIONS WITH VARIABLES! MS. DIEHL / OCTOBER 6, 2011.

I can translate words into math sentences!

Page 6: WRITING EQUATIONS WITH VARIABLES! MS. DIEHL / OCTOBER 6, 2011.

REVIEW:

Variable:

A symbol for a number that we do not know yet.

Example: X, Y

A changing quantity

What is a variable in your life?

Substitution:

Replacing variables with numbers

Page 7: WRITING EQUATIONS WITH VARIABLES! MS. DIEHL / OCTOBER 6, 2011.

10X + 4Y + 6Coefficient

Constant

Variable

Page 8: WRITING EQUATIONS WITH VARIABLES! MS. DIEHL / OCTOBER 6, 2011.

TODAY

We are going to write our own equations

Our equations we write will have VARIABLES and CONSTANTS and COEFFICIENTS!

Page 9: WRITING EQUATIONS WITH VARIABLES! MS. DIEHL / OCTOBER 6, 2011.

KEY WORDS

What key words tell us to add, subtract, multiply or divide?

Operation Keywords

Addition

Subtraction

Division

Multiplication

Variable

Page 10: WRITING EQUATIONS WITH VARIABLES! MS. DIEHL / OCTOBER 6, 2011.

LETS WRITE AN EXPRESSION:

John makes $6 just for showing up to work every morning. He makes $8 every hour he works.

“every hour” = X (my variable) because I DON’T know for sure what it is

6 = my constant because I DO know what it is.

8 = my coefficient

Page 11: WRITING EQUATIONS WITH VARIABLES! MS. DIEHL / OCTOBER 6, 2011.

8X + 6

One more time…What is my variable?What is my constant?

Page 12: WRITING EQUATIONS WITH VARIABLES! MS. DIEHL / OCTOBER 6, 2011.

What is my variable?What are my constant(s)?What is my answer?

Page 13: WRITING EQUATIONS WITH VARIABLES! MS. DIEHL / OCTOBER 6, 2011.

(3)X+ 14 = 300

Page 14: WRITING EQUATIONS WITH VARIABLES! MS. DIEHL / OCTOBER 6, 2011.

SOMETIMES…

We have more than ONE constant

Page 15: WRITING EQUATIONS WITH VARIABLES! MS. DIEHL / OCTOBER 6, 2011.

The difference between the number of hotdogs I buy and the number of candy bars I buy is 5.

What is my constant(s)?What is my variable?

Page 16: WRITING EQUATIONS WITH VARIABLES! MS. DIEHL / OCTOBER 6, 2011.

X - y = 5

Page 17: WRITING EQUATIONS WITH VARIABLES! MS. DIEHL / OCTOBER 6, 2011.

The quotient of x and 3 equals v

What is my constant?What are my variables?

Page 18: WRITING EQUATIONS WITH VARIABLES! MS. DIEHL / OCTOBER 6, 2011.

WHITEBOARDS

Some number minus 7 equals 24.

 

The length of a football field is 30 yards more than its width. 

The sum of 8 and f multiplied by the difference of m and 12.

Page 19: WRITING EQUATIONS WITH VARIABLES! MS. DIEHL / OCTOBER 6, 2011.

REMEMBER!

What we learn each day builds on what we learned yesterday, last week, and at the beginning of the year!

It is important to stay focused, stay motivated, and work hard so we can all reach our goals of being proficient or advanced on TCAP!

Page 20: WRITING EQUATIONS WITH VARIABLES! MS. DIEHL / OCTOBER 6, 2011.

I can translate words into math sentences!

Page 21: WRITING EQUATIONS WITH VARIABLES! MS. DIEHL / OCTOBER 6, 2011.

EXIT TICKET!WRITE THE EXPRESSION OR EQUATION. DO NOT SOLVE!

The product of a number plus 7 equals 7.

 

The number of gallons of gas I buy times the price of $3.28 equals the amount of money I spend a week.

The sum of a number plus 2 equals 17

 

Three hundred and five squared minus the sum of y and 19.

CHALLENGE: nine less than the total of a number and two