# Representing Data with Box Plots

## Mathematical goals

This lesson unit is intended to help you assess how well students are able to interpret data using frequency graphs and box plots. In particular this unit aims to identify and help students who have difficulty figuring out the data points and spread of data from frequency graphs and box plots. It is advisable to use the lesson: *Representing Data with Frequency Graphs *before this one.* *

## Introduction

The unit is structured in the following way:

- Before the lesson, students individually complete an assessment task that is designed to reveal their current understanding and difficulties.
- A whole-class introduction gives guidance to students on how to work during the collaborative activity. Students then work in pairs or threes on a discussion task, matching frequency graphs to box plots. The lesson ends with a whole-class discussion.
- In a follow-up lesson students work alone on a similar task to the introductory assessment task.

## Materials required

- Each student will need a copy of the tasks:
*Cell Phones 2*and*Cell Phones 2 (revisited),*the handout*Matching a Box Plot to a Frequency Graph*, a rule, mini-whiteboard, pen, and eraser. - Each small group of students will need
*Card Set:**Frequency Graphs*and*Card Set:**Box Plots*(both sets cut-up before the lesson), a large sheet of paper for making posters, and a glue stick. - You may want to copy the two
*Card Sets*onto transparencies to be used on an overhead projector to support whole-class discussions. There is also a projector resource to help with whole-class discussions. - If you are teaching the lesson as a sequel to the lesson
*Representing Data with Frequency Graphs*you will not need*Card Set:**Frequency Graphs*or a sheet of paper for making a poster, as students’ existing posters include these cards.

## Time needed

Approximately 15 minutes before the lesson, a 1-hour lesson, and 20 minutes in a follow-up lesson. Exact timings will depend on the needs of the 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
- MP7: Look for and make use of structure
- 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:*