# Applying Properties of Exponents

## Mathematical goals

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

- Recall and use the properties of exponents to generate equivalent numeric expressions.
- Identify the appropriate property to use and apply it correctly.
- Check the numerical value of an expression involving exponents without using a calculator.

## Introduction

- Before the lesson, students work individually on an assessment task designed to reveal their current understanding. You then review their responses and create questions for students to consider when improving their work.
- After a whole-class introduction, students work in small groups on a collaborative discussion task, grouping cards based on numerical equivalence. Throughout their work, students justify and explain their thinking and reasoning.
- Students review their work by comparing their card groupings with their peers’.
- In a whole-class discussion, students discuss what they have learned.
- In a follow-up lesson, students revisit their initial work on the assessment task and work alone on a similar task to the introductory task.

## Materials required

- Each student will need a mini-whiteboard, pen, and wipe, copies of the assessment tasks
*Properties of Exponents*and*Properties of Exponents**(Revisited).* - Each small group of students will need cut-up copies of
*Card Set:**Expressions*and*Card Set: Single Exponents*, a large sheet of poster paper, and a glue stick.

## Time needed

10 minutes before the lesson, a 90-minute lesson (or two shorter ones), and 15 minutes in a follow-up lesson (or for homework). These timings are not exact. Exact timings will depend on the needs of your students.

## 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
- 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:*