This document contains notes from a math lesson on writing and evaluating expressions involving multiplication and addition. It includes examples of word problems about arranging tables at a restaurant and ordering pizzas that are modeled and translated into mathematical expressions. Students are asked to practice writing expressions, evaluating expressions for given values, modeling problems using objects, and coming up with new sample problems involving both multiplication and addition.

1. Module 4 Lesson 21 Writing and Evaluating Expressions—Multiplication and Addition.notebook
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Monday Problem Set Lesson 21
Tuesday Problem Set Lesson 22
Wednesday Problem Set Lesson 23
Thursday Problem Set Lesson 24
Friday
Problem Set Lesson 25
Math Fun Night 6:30­8:30 HSE
Field Trip Permission Slips
due FRIDAY

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Problem Set Lesson 20 Answers

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MODULE 4 Expressions and Equations
Topic F: Writing and Evaluating
Expressions and Formulas
Lesson 21: Writing and Evaluating Expressions—
Multiplication and Addition
Student Outcomes
§ Students develop formulas involving multiplication and addition from real‐world problems.
§ Students evaluate these formulas for given values.

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§ Today we will model a problem that happens in restaurants every day:
moving tables together so that everyone in a group can sit together.
Use square tiles to represent square tables. One person can sit along
each edge of a table side. (No crowding!) Our first goal is to find how
many people can sit at tables made of various numbers of square tables
pushed together end‐to‐end.
§ Use the table in your student materials to record your findings.

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Classwork
Exercise 1
The Italian Villa Restaurant has square tables that the servers can push together
to accommodate the customers. Only one chair fits along the side of the square
table. Make a model of each situation to determine how many seats will fit
around various rectangular tables.

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Are there any other ways to think about solutions to this problem?
It is impractical to make a model of pushing 50 tables together to make a long
rectangle. If we did have a rectangle that long, how many chairs would fit on the long
sides of the table?
How many chairs fit on the ends of the long table?
How many chairs fit in all? Record it.

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Example 2
Determine the cost for various numbers of pizzas, and also determine the expression
that describes the cost of having P pizzas delivered.
a. Pizza Queen has a special offer on lunch pizzas $4.00 each. They charge $2.00
to deliver, regardless of how many pizzas are ordered. Determine the cost for
various numbers of pizzas, and also determine the expression that describes the
cost of having P pizzas delivered.

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What mathematical operations did you need to perform to find the total cost?
Suppose our principal wanted to buy a pizza for everyone in our class?
Determine how much this would cost.
b. If the booster club had $400 to spend on pizza, what is the greatest number
of pizzas they could order?

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c. If the pizza price was raised to $5.00 and the delivery price was raised to$3.00,
create a table that shows the total cost (pizza plus delivery) of 1, 2, 3, 4, and 5 pizzas.
Include the expression that describes the new cost of ordering P pizzas.

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Closing
Please take out your exit ticket for Lesson 21, close your
binder, and complete the exit ticket. This will be collected.
§ Some mathematical expressions use both multiplication and
addition. With your partner, make up a new example of a problem
that uses both multiplication and addition.

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