EE2: Expressions Objective: I can write and evaluate algebraic expressions for real world contextual...

EE2: ExpressionsObjective: I can write and evaluate algebraic expressions for real world contextual situations.

Bell work: Notetaking

Textbook: Page 48Copy the Order of Operations

steps found in the box using Cornell notes in your spiral. Use a new page for these notes.

Remember: Area = Length x Width. The area for a square is x 2 .Draw a diagram representing each figure.Write an exponential expression to solve the area of

each square:

A square has a side length of 6 cm.A square has a side length of 3 cm.A square has a side length of 10 cm.

Concept Review: Square

6 2 cm 2 = 36 cm 2

3 2 cm 2 = 9 cm 2

10 2 cm 2 = 100 cm 2

Review: Group Discussion

Discuss in your group, what the following key vocabulary words mean:

Algebraic expression

Numerical expression

Equation/Expression

Coefficient

Variable

Group Brainstorming: Graphic Organizer

Create a Tree Map and brainstorm words that signal the following Operations:

Addition – Subtraction – Multiplication – Division - Exponents

Group Work: Writing Expressions Review The quotient of 12 and x

The product of x and 6

A number, (h), decreased by 7

15 less than 4 times w

Twelve decreased by the difference of x and 7

5 less than 3t

Five times the sum of h and 8

12 ÷ x

6xh - 7

5(h + 8)

4w -1512 – (x – 7)

3t - 5

Writing Expressions Using Words

a – b xy4f + uD – b 3

Real Life Situations

Mrs. Tanaka’s class is planning a trip to Harkins Theater. It will cost $10 for the school bus and the price of a ticket is $13 per student. What will determine the amount of the money her class will have to raise for the trip?

Write an expression to show the amount of money the class needs to raise.

What does the n represent? How much will it cost if 10 students attend?How much will it cost if 26 students attend?

$10 + $13n

N = the number of students who will attend

Real – Life Situations Ande bought a book and 5 markers. The

book cost $6.00, but the markers did not have a price on them.

Why is this an expression? Write an expression that would help Ande

figure out how much the total price was. Let m represent your unknown variable.

Real – Life Situations

Hannah is 3 years younger than Katie. Joey is twice as old as Hannah. Let k stand for Katie’s age. Write an expression to represent Hannah’s age.

How old is Hannah if K = 10? Let’s write an expression for Joey’s

age? How old is Joey?

K - 3

2(K – 3)

Real – Life Situations

A wireless service provider charges $29.99 per month for service plus $0.10 for each text message. Write an expression using t that determines the cost.

What does the t represent?

$29.99 + $0.10t where t = the number of text messages

Real – Life Situations

Saul’s father is working on a crew that will build a skyscraper in Yuma. He found out that each story is 13 feet tall. How tall, in feet, would the skyscraper be if it were 55 floors?

Write an expression to represent the height of a skyscraper with f stories:

13f where f = number of floors

Real – Life Situations

The rental fee for a mo-ped is $10 plus $3 for each hour the bike is used. Write an expression using h (hours) that determines the cost.

What would you spend if you rented the bike for 3 hours?

Real – Life Situations

Verizon charges $49.99 per month for service plus $0.15 for each picture message. Write an expression to represent the cost if p picture messages are sent. Be sure to explain what the variable represents.

$49.99 + $0.15p where p = the number of picture messages sent

Real – Life Situations

On the first night of the school play, 586 people attended. On the second night, t people attended. Write an expression to show the attendance for the two nights. Be sure to explain the variable.

586 + t where t = the attendance on the second night

Practice:

Write an algebraic expression to represent the sum of 16 and the product of 5 and a number. Identify the coefficient.

16 + 5n; the coefficient is 5

Practice:

Write an algebraic expression to represent the difference of 16 and the product of 3 and a number. Identify the coefficient.

16 – 3n; the coefficient is 3

Real – Life Situations

Jalissa read twice as many books as Cristian read this month. Cristian read 3 more books this month than last month. Using b as the unknown, write an algebraic expression for the number of books Jalissa read this month.

2(b + 3)