Sampling and Estimating: How Many Jellybeans
This lesson unit is intended to help you assess how well students are able to:
- Model a situation mathematically, justifying any assumptions made.
- Estimate unknown values/missing information when solving a problem.
- Calculate volumes of three-dimensional objects.
- Use an appropriate sampling method to draw conclusions about a population.
- Before the lesson, students attempt the Jellybeans task individually. You then assess their responses and formulate questions that will prompt students to review their work.
- At the start of the lesson, students think individually about their responses to the questions set.
- Next, students work in small groups to combine their thinking and work together to produce a collaborative solution to the Jellybeans task, in the form of a poster.
- In the same small groups, students evaluate and comment on sample responses, identifying the strengths and weaknesses in each approach and comparing them with their own work.
- In a whole-class discussion students compare and evaluate the methods they have seen and used.
- In a follow-up lesson, students reflect on their work and what they have learned.
- Each student will need a copy the assessment task: Jellybeans (printed in color, if possible), a copy of the questionnaire How Did You Work? and some plain paper to work on.
Calculators should be made available on request.
- Each small group will need a large sheet of paper and copies of Sample Responses to Discuss.
- There is a projector resource to support whole-class discussions.
20 minutes before the lesson for the assessment task, a 100-minute lesson (or split into two shorter lessons), and 15 minutes in a follow-up lesson (or for homework). Timings given are only approximate. Exact timings will depend on the needs of the 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
Mathematical Content Standards
This lesson asks students to select and apply mathematical content from across the grades, including the content standards: