1. What if the school needs 30 pizzas and can make 12 in an hour?
How do you find out how much time it takes your cafeteria to cook food for the whole school?
For example:
What if the school needs 30 pizzas and can make 12 in an hour?
Hook

2. In this lesson you will learn how to create and solve inequalities
by using linear relationships.
Objective

3. 1 2 1 2
Review:
Focus on open vs closed to include vs not include value
Arrow indicates direction of range that satisfies expression

4. 1 2
Common Mistake

5. We will investigate this problem:
Your school cafeteria can produce 12 pizzas in one hour, and the cafeteria needs to produce at least 30 pizzas to feed your school. In order to make sure that all of the pizzas are cooked in time, at least how long should the cafeteria give themselves to cook?
Core Lesson:
Present problem
Highlight important components (12 pizzas per hour; produce at least 30; question: how much time?)

6. VERFIY: what does my answer mean? does this make sense?
≥ 30
t ≥ 2.5 hours
l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l 3 2 1
Core Lesson:
Take out pertinent info from problem and create equation
Solve equation
VERIFY solution (does it make sense that they need 2.5 hours or more?
VERFIY: what does my answer mean?
does this make sense?

7. In this lesson you have learned how to create and solve inequalities
by using linear relationships.

8. Guided Practice:
- Read the problem + highlight relevant information

9. VERFIY: what does my answer mean? does this make sense?
3 4
t ≤ 32.5 minutes 10 20 30 40
Guided Practice:
- Work the problem here
VERFIY: what does my answer mean?
does this make sense?

10. Try using different numbers in these problems, or make up your own similar type of problem!
Explore what happens to your equation if the rate changes over time (for instance, the amount of pizzas cooked changes each hour!)
Explore having both an upper and a lower limit (such as filling at least 20 gallons, but less than 50!)