6.ee.b.6 use variables to represent numbers and write expressions when solving real world or...

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6.EE.B.6 Use variables to represent numbers and write expressions when solving real world or mathematical problems; understanding that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.

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Page 1: 6.EE.B.6 Use variables to represent numbers and write expressions when solving real world or mathematical problems; understanding that a variable can represent

6.EE.B.6Use variables to represent numbers and write expressions when solving real world or mathematical problems; understanding that a variable can represent an unknown number, or, depending on the purpose at hand,

any number in a specified set.

Page 2: 6.EE.B.6 Use variables to represent numbers and write expressions when solving real world or mathematical problems; understanding that a variable can represent

LET’S PRACTICE THE CONCEPTS FROM YESTERDAY.For each given statement, writ the correct algebraic expression….remember the key words and order.

4 times a number decreased by 11

The sum of three and a number decreased by 16

Twice a number multiplied by 11 is 124

15 is the product of a number and 3

The quotient of 45 and three more than a number is 9

4n – 11

3 + n – 16

2n x 11 = 124

15 = 3n

45/n+3 = 9

What questions do you have before we move on???

Page 3: 6.EE.B.6 Use variables to represent numbers and write expressions when solving real world or mathematical problems; understanding that a variable can represent

Now we will continue with the same concept, only this time we will be creating algebraic expressions from information given through a real world context word problem. • Decide what the variable will be, and what that variable will stand for.• Decide what operations need to be used to create this expression.• Decide what you are solving for with the expression created.

John has eight more than five times the amount of baseball

cards as his friend Max.

5n + 8

n represents the amount of cards that Max has.

This expression can be used to solve for the number of cards

that John has given any amount of cards that Max has.

The movie theater charges $7.50 per ticket and $3.50 for a large

soda. Amber bought a soda and spent a total of $33.50.

$7.50n + $3.50 = $33.50

n represents the number of tickets purchased.

This expressions can be used to solve for the number of tickets Amber purchased at the movie

theater.

Adam spent a total of 68 minutes at the art museum. He walked around the

garden for 14 minutes, then spent time looking at 9 different pieces of art.

68 = 14 + 9n

n represents the number of minutes spent looking at each piece of art.

The expression can be used to solve for the number of minutes Adam spent

looking at the 9 pieces of art.

Page 4: 6.EE.B.6 Use variables to represent numbers and write expressions when solving real world or mathematical problems; understanding that a variable can represent

NOW IT’S TIME FOR YOU TO WRITE YOUR OWN REAL WORLD STORY PROBLEMS.

For each of the algebraic expressions below, think about how you can use the variable and operations to create a simple story problem.

4n + 7

Possible story problem:

The Giants have seven more than four times the amount of wins as the Diamondbacks.

26 – 3n = 11

Possible story problem:

Alberto went to the store with 26 dollars. He

purchased 3 bags of tortilla chips and had 11 dollars left.

Now try this one where you’re given what the variable should represent.

40 = 3n + 4Write a story problem where n

represents time.

Possible story problem:

Clarice was grounded for 40 minutes for doing bad things. During that

time she chewed on 3 different shoes then spent 4 minutes licking her paw.