1. Unit 6 : Expressions, Equations, and Inequalities
Unit 6 Overview: Expressions, Equations, and Inequalities
Unit 6 is based on the driving question: How are equations and inequalities used to represent situations in the real world? In this unit, you will apply your knowledge of writing and evaluating numerical expressions.

2. Content Standards and Objectives
M.6.EE.5 (CCSS6.EE.B.5)
M.6.EE.6 (CCSS6.EE.B.6)
M.6.EE.7 (CCSS6.EE.B.7)
M.6.EE.8 (CCSS6.EE.B.8)
M.6.EE.9 (CCSS6.EE.C.9)
In this unit, you will be learning content standards and objectives 6.EE.5-9.
M.6.EE.5 (CCSS6.EE.B.5)
M.6.EE.6 (CCSS6.EE.B.6)
M.6.EE.7 (CCSS6.EE.B.7)
M.6.EE.8 (CCSS6.EE.B.8)
M.6.EE.9 (CCSS6.EE.C.9)

3. How Are Equations and Inequalities Used to Represent Situations in the Real World?
Unit 5
x = 12, y = 4
If x= 12, then
2x = 2 ● 12
x= 24
Unit 6
x + 2 = 12
x < 87
Think back to Unit 5, in the previous unit, you defined variables as letters that represent unknown numbers. You also replaced variables with given values to evaluate expressions. In this unit, you will apply your knowledge of writing and evaluating numerical expressions to write expressions, equations, and inequalities.

4. Equations from Real World Scenarios
Sally purchases 2 pairs of jeans for $100
Let x = cost of 1 pair of jeans
2x = 100
x = 100/2
x = 50
You will also solve equations from real world scenarios. For example, if Sally purchases 2 pairs of jeans for , how much will each pair of jeans cost? First, let’s make the cost of each pair of jeans the variable, x. If 2 pairs of jeans cost , then the equation would be set up as 2x = You can now apply the property of division property of equality to isolate x. 2x = 100, (Divide both side by 2), x = 50.

5. Writing Inequalities from Real World Scenarios
The maximum height for a roller coaster’s rider is 6 feet.
x = the riders’ possible heights
The symbol should be ≤
x ≤ 6
After solving equations, you will learn how to write inequalities. For example, look at the expression: the maximum height for a roller coaster’s rider is 6 feet. Let x stand for the possible heights of the riders. Then, choose the appropriate symbol to place in between x and 6. x ≤ 6.

6. Graphing Inequalities
x ≤ 6
You will also graph the inequalities on a number line like the example provided.

7. Math Is Everywhere
Why are these skills important? Expressions, equations, and inequalities are everywhere, but sometimes they are hidden in signs and labels. Take a look at the sale signs in the mall or the height and weight requirements at amusement parks.

8. Careers Using Expressions, Equations, and Inequalities
Expressions, equations, and inequalities are also used in a variety of career fields including architecture and construction, business management, tourism, human services, marketing and manufacturing, medical, and science, technology, and engineering.