# Maximizing Profit: Selling Soup

## Mathematical goals

This lesson unit is intended to help you assess how well students are able to solve real-life mathematical problems. In particular, students will develop their abilities in the following areas:

- Using proportional relationships to solve multistep ratio and percent problems.
- Drawing inferences about a population from a random sample of data.
- Making and stating assumptions based on real-life situations.

## Introduction

The lesson unit is structured in the following way:

- Before the lesson, students attempt the
*Selling Soup*task individually. You review their solutions and formulate questions that will help students to improve their work. - At the start of the lesson, students respond individually to the questions set.
- In groups, students combine their thinking and work together to produce a collaborative solution in the form of a poster.
- In the same small groups, students evaluate and comment on some sample responses. They evaluate these responses and compare them with their own work.
- In a whole-class discussion, students explain and compare solution strategies.
- Finally, students reflect on their work and their learning.

## Materials required

- Each student will need a copy of the task sheet,
*Selling Soup*, pages 1 to 4*Responses to Martha’s Survey*, some plain paper to work on, a copy of the*How Did You Work?*questionnaire, a mini-whiteboard, pen, and an eraser. - Each small group of students will need a sheet of poster paper, a marker, and copies of the
*Sample Responses to Discuss.* - Provide calculators for students who choose to use them.
- There is a projector resource to support whole-class discussion.

## Time needed

20 minutes before the lesson and a 120-minute lesson (or two 60-minute lessons). Timings are approximate. Exact timings will depend on the needs of your class.

## Lesson Type

## Mathematical Practices

This lesson involves a range of *mathematical practices* from the standards, with emphasis on:

- MP1: Make sense of problems and persevere in solving them
- MP2: Reason abstractly and quantitatively
- MP3: Construct viable arguments and critique the reasoning of others
- MP4: Model with mathematics
- MP5: Use appropriate tools strategically
- MP6: Attend to precision
- MP8: Look for and express regularity in repeated reasoning

## Mathematical Content Standards

This lesson asks students to select and apply mathematical content from across the grades, including the *content standards:*