## What Is Your Rate of Work?

### Johnny WolfeSanta Rosa District Schools

#### Description

When work is held to a constant, the formula (rate of work) times (time) equals (work done).

#### Objectives

Understands that numbers can be represented in a variety of equivalent forms using integers, fractions, decimals, and percents, scientific notation, exponents, radicals, absolute value, or logarithms.

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

Adds, subtracts, multiplies, and divides real numbers, including square roots and exponents using appropriate methods of computing (mental mathematics, paper-and-pencil, calculator).

#### Materials

- Overhead transparencies (if examples are to be worked on overhead) for "What is Your Rate of Work" (see attached file).

- Marking pens (for overhead).

- "What is Your Rate of Work" Examples (see attached file).

- "What is Your Rate of Work" Worksheet (see attached file).

- "What is Your Rate of Work" Checklist (see attached file).

#### Preparations

1. Prepare transparencies (if teacher uses overhead for examples) for "What is Your Rate of Work" Examples (see attached file).

2. Have marking pens (for overhead).

3. Have "What is Your Rate of Work" Examples (see attached file) prepared and ready to demonstrate to students.

4. Have enough copies of "What is Your Rate of Work" Worksheet (see attached file) for each student.

5. Have enough copies of "What is Your Rate of Work" 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, solving quadratic equations, factoring, and 4-step approach to problem solving. NOTE: This lesson did not address decimals, percents, scientific notation, exponents, radicals, absolute value or logarithms. This lesson did not address square roots or exponents.

1. Go over the formula (rate of work) times (time) equals (work done). Give an example of how this formula can be used (see # 1 on attached file "What is Your Rate of Work" Examples). Answer student questions and comments.

2. Work Example # 2 (see attached file "What is Your Rate of Work" Examples). Make sure students understand that the different parts of a job must total one. Also, explain to students how they can convert partial hours to minutes. Answer student questions and comments.

3. Discuss the relationship between hours to complete a job and the rate per hour. (see # 3 on attached file "What is Your Rate of Work" Examples). Point out the importance of checking your solutions. Answer student questions and comments.

4. Work Example # 4 (see attached file "What is Your Rate of Work" Examples). Answer student questions and comments.

5. Work Example # 5 (see attached file "What is Your Rate of Work" Examples). Explain to students that once you know the time it takes to paint one chair then you can multiply by the number of chairs. Answer student questions and comments.

6. Distribute the "What is Your Rate of Work" Worksheet (see attached file).

7. Distribute the "What is Your Rate of Work" Checklist (see attached file). Describe what is expected of the students based on the Checklist.

8. The student will write their response on the worksheet.

9. 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 "What is Your Rate of Work" Checklist (see attached file).

#### Extensions

Working alone, it usually takes Marshall 1.5 hours to clean the basement. His brother Marvin can clean the basement in 1.25 hours. The last time they cleaned the basement together, it took them 1 hour. Their dad claimed they slowed each other down. Is their dad correct?

#### Web Links

Web supplement for What is Your Rate of Work?
WORK PROBLEMS