Designing: Candy Cartons
This lesson unit is intended to help you assess how well students are able to:
- Select appropriate mathematical methods to use for an unstructured problem.
- Interpret a problem situation, identifying constraints and variables, and specify assumptions.
- Work with 2- and 3-dimensional shapes to solve a problem involving capacity and surface area.
- Communicate their reasoning clearly.
This activity will take two lessons. The lessons are structured in the following way:
- Before the first lesson, students tackle the problem individually. You review their work and write questions to help students improve their solutions.
- At the beginning of the first lesson, students respond to your questions. They are then grouped into pairs and work collaboratively to produce better solutions to the same task, and use their designs to make two cartons.
- To launch the second lesson there is a whole-class discussion. Then in small groups students evaluate and comment on sample solutions, followed by a whole-class discussion about the work. Finally, students review and evaluate their work on the problem.
- For each student you will need a mini-whiteboard, a pen, an eraser, a copy of the task sheet, Design a Candy Carton, and a copy of the Design Checklist.
- For each group of students, provide a large sheet of paper for making a poster, two sheets of light, letter-sized cardboard, scissors, a glue stick, highlighter pens, and a copy of each of the Sample Responses to Discuss.
- Provide calculators, rules, protractors, pencils, grid and plain papers, compasses, and cylindrical counters (such as checkers pieces) for students who wish to use them.
- There is a projector resource to support whole-class discussions.
- You may also want to bring a couple of cartons to the class.
20 minutes before the lesson, and two 50-minute lessons. Timings are approximate; exact timings will depend on the needs of your students.
This lesson involves a range of mathematical practices from the standards, with emphasis on:
- MP1: Make sense of problems and persevere in solving them
- MP3: Construct viable arguments and critique the reasoning of others
- MP4: Model with mathematics
This lesson asks students to select and apply mathematical content from across the grades, including the content standards:
- l77_desiging_candy_cartons_beta_complete.pdf ( 8873.8K PDF/Acrobat 23 Jan 2013)
- l77_designing_candy_carton_slides ms.ppt ( 3800K MS PowerPoint 23 Jan 2013)
A draft Brief Guide for teachers and administrators (PDF) is now available, and is recommended for anybody using the MAP Classroom Challenges for the first time.
We have assigned lessons to grades based on the Common Core State Standards for Mathematical Content. During this transition period, you should use your judgement as to where they fit in your current course.
The Beta versions of the MAP Lesson Units may be distributed, unmodified, under the Creative Commons Attribution, Non-commercial, No Derivatives License 3.0. All other rights reserved. Please send any enquiries about commercial use or derived works to firstname.lastname@example.org.