Maximizing Profit: Selling Soup
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.
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.
- Each student will need a copy of the task sheet, Selling Soup, pages 1 to 4 of 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.
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.
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: