# Representing Data with Frequency Graphs

## Mathematical goals

This lesson unit is intended to help you assess how well students:

- Are able to use frequency graphs to identify a range of measures and make sense of this data in a real-world context.
- Understand that a large number of data points allow a frequency graph to be approximated by a continuous distribution.

## Introduction

The unit is structured in the following way:

- Before the lesson, students work alone to complete an assessment task designed to reveal their current understanding.
- After a whole-class introduction, students work in pairs or threes on a collaborative discussion task, matching written interpretations and graphs as they begin to link these two representations. There is a whole-class discussion to end the lesson.
- In a follow-up lesson, students work alone on a similar task to the assessment task.

This lesson can be taught in conjunction with the lesson *Representing Data with Box Plots* or independently.

## Materials required

- Each student will need a copy of
*Cell Phones 1*,*Cell Phones 1 (revisited)*, and*Drawing**Graphs*, a mini-whiteboard, pen, and eraser. - Each small group of students will need a cut-up copy of
*Card Set:**Frequency Graphs*and*Card Set:**Interpretations*, a large sheet of paper for making a poster (large enough to accommodate three different sets of cards), and a glue stick.

## Time needed

Approximately 20 minutes before the lesson, a 90-minute lesson (or two 50-minute lessons), 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:*