Expressions: Simplify

Objective  I will simplify algebraic expressions 

Essential Question Why are the expressions 2(x - 1) + 3(x - 1) and 5(x - 1) equivalent?

Develop the Concept 

How many wheels are they in the NYC parking lot?

• If f stands for vehicles with four wheels, write an expression for the number of wheels on 4-wheel vehicles. 
  
• If t stands for vehicles with two wheels, write an expression for the number of wheels on 2-wheel vehicles. 
• Write an expression that represents the total number of wheels in the parking lot. 

Objective  I will simplify algebraic expressions 

Essential Question Why are the expressions 2(x - 1) + 3(x - 1) and 5(x - 1) equivalent?

Lesson Vocabulary  

term
like terms  
constant
simplest form
expression

Modeling Expressions

Percent

Percents Part 2

Visual Percents

http://www.mathplayground.com/visualpercent.html

Essential Questions


 How can two amounts of change be the same but the percents of change be different?




 Which method of finding the total price of a bill with a 20% tip do you prefer?
 What are two methods you could use to find the sale price of an item that is discounted by a percent? How can you use a formula to find simple interest?

Percents

This chapter focuses on content from the Ratios and Proportional Relationships (RP) domain and addresses the following grade 7 standards: 7.RP.2, 7.RP.2, 7.RP.3, 7.EE.2, 7.EE.3.

Essential Question  How can percent help you understand situations involving money?

How do you find the percent of a number?

Find percent of a number by writing a percent as a fraction

Will 5% of 300 be greater than or less than 300? Why?

What is 5% written as a fraction in simplest form?

 What expression can be used to find 1/20  of 300? 

Find percent of a number by writing a percent as a decimal

Will 25% of 180 be greater than or less than 180? Why?

What is 25% written as a decimal?

How would you find 25% of 180?

Use percents greater than 100%

Will 120% of 75 be greater than or less than 75? Why?

What is 120% written as a fraction?

What expression is used to find 120% of 75?

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