Thursday, November 30, 2017 Warm Upmichaelpgallagher.weebly.com/uploads/5/8/0/0/58009965/november… · November 30 and December 1 Writing Algebraic Expressions with Word Problems.notebookNovember

November 30 and December 1 Writing Algebraic Expressions with Word Problems.notebookNovember 30, 2017

Warm UpThursday, November 30, 2017

1) For a summer cookout, Kathryn bought hamburger meat for $3.91 per pound. Her total bill was $136.85. Approximately how many pounds of hamburger meat did Kathryn buy?

A) 20 pounds B) 25 pounds C) 30 pounds D) 35 pounds

2) Jason tutors math students at the local college. Jason charges $98 for a 3.5 hour session. What is Jason's hourly rate?

1) D 2) $28 an hour



SWBAT write expressions using variables when solving realworld problems by completing 6 problems independently.

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

LEQ: How does picking out the constant in a word problem help to better set up the expression?


Remember your questioning:• What is it that we don't know?• How can we represent something we do not know?• What operational words are in the phrase?• Are there any "special" operational words that would change the order to which the phrase is written?

ReviewPreviously, we learned how to write expressions that record operations with numbers and with letters standing for numbers. Now we are going to use variables to represent numbers and write expressions when solving a realworld or mathematical problem.

Briefly talk about the following verbal expressions. How can we write them as algebraic expressions?

• 7 less than 3 times a number• 3 times the sum of a number and 5• 7 less than the product of 2 and a number• Twice the difference between a number and 5• The quotient of the sum of x plus 4 and 2

3n 73(n + 5)

2n 72(n 5)

(x + 4)2


Teacher Input

The difference from the previous skill is that EE.6. has students write expressions to represent various real-world situations. Let's look at some simple ones to start with.

Set 1:

• Write an expression to represent Susan‛s age in three years, when a represents her present age.

• Write an expression to represent the number of wheels, w, on any number of bicycles.

• Write an expression to represent the value of any number of quarters, q.

Now given a contextual situation, you will define variables and write an expression to represent the real-world situation.

Remember your questioning:• What is it that we don't know?• How can we represent something we do not know?• What operational words are in the phrase?• Are there any "special" operational words that would change the order to which the phrase is written?

The skating rink charges $100 to reserve the place and then $5 per person. Write an expression to represent the cost for any number of people.

Step1: Think about when we learned to identify the constant in an expression. It is a number that is not changing and not attached to a variable. What is the number from this situation that will stay the same no matter how many people come to the skating rink?

$100 - we are paying this no matter how many people come

Step 2: What is it that we do not know? How can I represent it? We don't know how many people. People can be represented by "P"

Step 3: What else do we know? What is attached to the variable here? What is the price per person? How can I write it?

$5 per person is multiplication and can be written 5p

Step 4: Write an expression to represent the cost for any number of people. 5p + 100

The skating rink charges $100 to reserve the place and then $5 per person. Write an expression to represent the cost for any number of people.

constant

Variable (p)Coefficient

coefficient is multiplied with the variable

adding to the 100

Answer: $5p + 100


Critical Thinking Questions:

1 What is the constant? What is not changing?

2 What do we not know? How can it be represented?

3 What operations are represented in the situation? Do we have a coefficient attached to the variable?

Modeling

1. An amusement park charges $28 to enter and $0.35 per ticket. Write an algebraic expression to represent the total amount spent.

2. Maria has three more than twice as many crayons as Elizabeth. Write an algebraic expression to represent the number of crayons that Maria has.


Critical Thinking Questions:




Collab. Work

1. Michael works as a mechanic.• He charges $45.00 to work for the first hour.• He charges $34.75 for each additional hour.• Let (h) equal the number of hours after the first hour.

Write an expression to represent how much Michael charges.

2. A website offers mp3 downloads for a fee of $5 plus $0.15 for each song. Write an expression that shows the cost in dollars for purchasing s songs.


Independent Practice Critical Thinking Questions:




Today you will work on 8 independent practice problems. Use your critical thinking questions to help annotate the problem and then write an expression. If you do not finish, more time will be given tomorrow.


2)

1)

Exit Ticket


Warm UpFriday, December 1, 2017

1) A rectangle has an area of 10x + 15.

Which dimensions can match the rectangle?

2) Brent earns $10 for every car he washes and $15 for every lawn he mows. Let x represent the number of cars he washes and y stand for every lawn he mows. Which expression represents the total money Brent will earn washing cars and mowing lawns?

A) 15x + 10y B) 15y + 10x C) 15 + 10(xy) D) 10 + 15(xy)

1) c 2) B

a) Width = 5x Length= (2 + 3)

b) Width = 5x Length= (2 + 15)

c) Width = 5 Length= (2x + 3)

d) Width = 5 Length= (2x + 15)



SWBAT write expressions using variables when solving realworld problems by completing 6 problems independently.

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

LEQ: How does picking out the constant in a word problem help to better set up the expression?


ReviewYesterday we learned to write expressions from real-world situations, thinking more about the constant and working around it. Take a minute with your neighbor and complete the following problem.

Nate earns extra money on the weekends mowing lawns.• He charges $14.00 to work the first hour.

• He charges $15.50 for each additional hour.• Let h equal the number of hours after the first hour.

Write an expression that represents how much Nate charges?


Early finishers will complete the

Ten Marks assignment.

Independent Practice Critical Thinking Questions:




Today you will finish the 8 independent practice problems. Use your critical thinking questions to help annotate the problem and then write an expression. When you finish, turn it in the basket. This is a grade!!


Closing

+I feel successful when writing expression

because......

I do not feel successful when writing expression

because......


Documents

Thursday, November 30, 2017 Warm Upmichaelpgallagher.weebly.com/uploads/5/8/0/0/58009965/november… · November 30 and December 1 Writing Algebraic Expressions with Word Problems.notebookNovember