## Maximum Profit

### Johnny WolfeSanta Rosa District Schools

#### Description

This lesson uses application that provides reinforcement in such areas as problem solving, multiplying polynomials, and finding maximum points.

#### Objectives

Associates verbal names, written word names, and standard numerals with integers, rational numbers, irrational numbers, real numbers and complex numbers.

Understands and explains the effects of addition, subtraction, multiplication and division on real numbers, including square roots, exponents, and appropriate inverse relationships.

#### Materials

- Overhead transparencies (if examples are to be worked on overhead) for "Maximum Profit Worksheet" (see attached file)
- "Maximum Profit Examples" (see attached file)
- "Maximum Profit Worksheet" (see attached file)
- "Maximum Profit Checklist" (see attached file)

#### Preparations

1. Prepare transparencies (if teacher uses overhead for examples) for "Maximum Profit Examples". (see attached file)
2. Have marking pens (for overhead).
3. Have "Maximum Profit Examples" (see attached file) prepared and ready to demonstrate to students.
4. Have enough copies of "Maximum Profit Worksheet" (see attached file) for each student.
5. Have enough copies of "Maximum Profit Checklist" (see attached file) for each student.

#### Procedures

Prior Knowledge: Students should be familiar with basic operation skills such as addition, subtraction, multiplication, division, exponents, fractions, decimals, quadratic equations, axis of symmetry, writing equations, and graphing quadratics. NOTE: This lesson does not address irrational and complex numbers. This lesson does not address square roots and inverse relationships. This lesson also does not address square roots.

1. Discuss with students how maximum profit is used in business (See # 1 on attached file "Maximum Profit Examples"). Answer student questions and comments.

2. Work Example (See # 2 on attached file "Maximum Profit Examples"). Answer student questions and comments.

3. Distribute the "Maximum Profit Worksheet." (see attached file)

4. Distribute the "Maximum Profit Checklist." (see attached file) Describe what constitutes an A, B, C, D, and an F in the Checklist.

5. The student will write their responses on the worksheet.

6. The teacher will move from student to student observing the students work and lending assistance.

#### Assessments

The student worksheet will be collected and scored according to the "Maximum Profit Checklist." (See attached file)

#### Extensions

Have students survey spectators at a school function (such as a football game). Determine how many would still attend the game if the ticket prices were increased by \$0.50, \$1.00, \$1.50, and \$2.00. Then have students determine the price for maximum profit.