# Estimating Length Using Scientific Notation

## Mathematical goals

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

- Estimate lengths of everyday objects.
- Convert between decimal and scientific notation.
- Make comparisons of the size of numbers expressed in both decimal and scientific notation.

## Introduction

- Before the lesson, students work individually on an assessment task that is designed to reveal their current understanding and difficulties. You then review their responses and create questions for students to consider in order to improve their work.
- After a whole-class introduction, students work on a collaborative task, matching measurements expressed in decimal and scientific notation. These are then matched to everyday objects.
- Students then make comparisons between the objects by investigating the size of one object in relation to another. To end the lesson there is a whole-class discussion.
- In a follow-up lesson, students work alone again on a similar task to the introductory task.

## Materials required

- Each student will need a copy of the assessment tasks
*Size It Up*and*Resize It Up!,*a mini-whiteboard, a pen, and an eraser. - Each small group of students will need
*Card Set A: Measurements*,*Card Set B:**Objects, Card Set C: Comparisons (all cards cut out before the lesson),*a large sheet of paper, and a glue stick. - There is a projector resource to support whole-class discussions.

## Time needed

15 minutes before the lesson for the assessment task, an 80-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.

## 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:*