IM Alg1.2.1 Lesson: Planning a Pizza Party
Here are some letters and what they represent.
All costs are in dollars.
Discuss with a partner:
What does each equation mean in this situation?
Write a new equation that could be true in this situation.
Imagine your class is having a pizza party.
Record your group’s plan and cost estimate. What would it take to convince the class to go with your group’s plan? Be prepared to explain your reasoning.Work with your group to plan what to order
and to estimate what the party would cost. 
Write down one or more expressions that show how your group’s cost estimate was calculated.
In your expression(s), are there quantities that might change on the day of the party?
Which ones?
Rewrite your expression(s), replacing the quantities that might change with letters. Be sure to specify what the letters represent.
Find a pizza place near you and ask about the diameter and cost of at least two sizes of pizza. Compare the cost per square inch of the sizes.
A constraint is something that limits what is possible or reasonable in a situation.
For example, one constraint in a pizza party might be the number of slices of pizza each person could have, . We can write to say that each person gets fewer than 4 slices. Look at the expressions you wrote when planning the pizza party earlier. Choose an expression that uses one or more letters. For each letter, determine what values would be reasonable. (For instance, could the value be a non-whole number? A number greater than 50? A negative number? Exactly 2?)
Write equations or inequalities that represent some constraints in your pizza party plan. If a quantity must be an exact value, use the symbol. If it must be greater or less than a certain value to be reasonable, use the or symbol.